Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
476 conjugacy classes of subgroups; only the 293 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 293 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #13092459 | C2 | semidirect |
| 3. #13092455 | C2 | semidirect |
| 4. C2×#10625000 | C2 | semidirect |
| 7. C23×#131 | C4 | semidirect |
| 24. M16×C23 | C2×C4 | semidirect |
| 25. C2×C8×C23 | C2×C4 | semidirect |
| 65. #131 | Dic23 | semidirect |
| 76. C23 | #2913 | semidirect |
| 83. M16 | C2×Dic23 | semidirect |
| 84. C2×C8 | C2×Dic23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092900 | 2 |
| #13092459 | 2 |
| #13092455 | 2 |
| C2×#10625000 | 2 |
| C2×C23×#131 | 2 |
| #2913 | 23 |