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Title: Orders of sporadic finite simple groups

Definition: >
  This table lists the orders of all sporadic finite simple groups.
  
Parameters:
  G:
    title: group
    type: Symbolic
    #show-in-parameter-list: no
    
Comments:
  
Formulas:

Programs:

References:

Links:
  Wiki:
    title: "Wikipedia: List of finite simple groups"
    url: https://en.wikipedia.org/wiki/List_of_finite_simple_groups

Similar tables:
  
Keywords:

Tags:
- algebra
- groups

Data properties:
  type: Z
  sources:
  - CITE{Wiki}
  reliability: >
    Finite simple groups have been completely classified.
  complete: yes

Display properties:
  number-header: $|G|$

Numbers:
  M11:
    param-latex: $\rm{M}_{11}$
    number: 7920
    comment: Mathieu group
  M12:
    param-latex: $\rm{M}_{12}$
    number: 95040
    comment: Mathieu group
  M22:
    param-latex: $\rm{M}_{22}$
    number: 443520
    comment: Mathieu group
  M23:
    param-latex: $\rm{M}_{23}$
    number: 10200960
    comment: Mathieu group
  M24:
    param-latex: $\rm{M}_{24}$
    number: 244823040
    comment: Mathieu group
  J1:
    param-latex: $\rm{J}_{1}$
    number: 175560
    comment: Janko group
  J2:
    param-latex: $\rm{J}_{2}$
    number: 604800
    comment: Janko group
  J3:
    param-latex: $\rm{J}_{3}$
    number: 50232960
    comment: Janko group
  J4:
    param-latex: $\rm{J}_{4}$
    number: 86775571046077562880
    comment: Janko group
  Co3:
    param-latex: $\rm{Co}_{3}$
    number: 495766656000
    comment: Conway group
  Co2:
    param-latex: $\rm{Co}_{2}$
    number: 42305421312000
    comment: Conway group
  Co1:
    param-latex: $\rm{Co}_{1}$
    number: 4157776806543360000
    comment: Conway group
  Fi22:
    param-latex: $\rm{Fi}_{22}$
    number: 64561751654400
    comment: Fisher group
  Fi23:
    param-latex: $\rm{Fi}_{23}$
    number: 4089470473293004800
    comment: Fisher group
  Fi24:
    param-latex: $\rm{Fi}_{24}$
    number: 1255205709190661721292800
    comment: Fisher group
  HS:
    param-latex: $\rm{HS}$
    number: 44352000
    comment: Higman-Sims group
  McL:
    param-latex: $\rm{McL}$
    number: 898128000
    comment: McLaughlin group
  He:
    param-latex: $\rm{He}$
    number: 4030387200
    comment: Held group
  Ru:
    param-latex: $\rm{Ru}$
    number: 145926144000
    comment: Rudvalis group
  Suz:
    param-latex: $\rm{Suz}$
    number: 448345497600
    comment: Suzuki sporadic group
  ON:
    param-latex: $\rm{O'N}$
    number: 460815505920
    comment: O'Nan group
  HN:
    param-latex: $\rm{HN}$
    number: 273030912000000
    comment: Harada-Norton group
  Ly:
    param-latex: $\rm{Ly}$
    number: 51765179004000000
    comment: Lyons group
  Th:
    param-latex: $\rm{Th}$
    number: 90745943887872000
    comment: Thompson group
  B:
    param-latex: $\rm{B}$
    number: 4154781481226426191177580544000000
    comment: Baby Monster group
  M:
    param-latex: $\rm{M}$
    number: 808017424794512875886459904961710757005754368000000000    
    comment: Monster group

— preview —

Orders of sporadic finite simple groups

edit on github

Numbers

$G$

$|G|$

$\rm{M}_{11}$:

7920

$\rm{M}_{12}$:

95040

$\rm{M}_{22}$:

443520

$\rm{M}_{23}$:

10200960

$\rm{M}_{24}$:

244823040

$\rm{J}_{1}$:

175560

$\rm{J}_{2}$:

604800

$\rm{J}_{3}$:

50232960

$\rm{J}_{4}$:

86775571046077562880

$\rm{Co}_{3}$:

495766656000

$\rm{Co}_{2}$:

42305421312000

$\rm{Co}_{1}$:

4157776806543360000

$\rm{Fi}_{22}$:

64561751654400

$\rm{Fi}_{23}$:

4089470473293004800

$\rm{Fi}_{24}$:

1255205709190661721292800

$\rm{HS}$:

44352000

$\rm{McL}$:

898128000

$\rm{He}$:

4030387200

$\rm{Ru}$:

145926144000

$\rm{Suz}$:

448345497600

$\rm{O'N}$:

460815505920

$\rm{HN}$:

273030912000000

$\rm{Ly}$:

51765179004000000

$\rm{Th}$:

90745943887872000

$\rm{B}$:

4154781481226426191177580544000000

$\rm{M}$:

808017424794512875886459904961710757005754368000000000

Definition

This table lists the orders of all sporadic finite simple groups.

Parameters

$G$

— group

Links

[1]

Wikipedia: List of finite simple groups

Data properties

Entries are of type: integer

Sources of data: [1]

Reliability: Finite simple groups have been completely classified.

Table is complete: yes