Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
360 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 129 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 |
|---|---|---|
| 1. #13093234 | C2 | semidirect |
| 2. #13093222 | C2 | semidirect |
| 3. #13092860 | C2 | semidirect |
| 4. #13092855 | C2 | semidirect |
| 5. #13092849 | C2 | semidirect |
| 6. C2×#10624982 | C2 | semidirect |
| 7. C23×#504 | C2 | semidirect |
| 13. C2×Dic92 | C22 | semidirect |
| 15. #10625075 | C22 | semidirect |
| 17. C23×M32 | C22 | semidirect |
| 18. C2×C16×C23 | C22 | semidirect |
| 19. Dic184 | C22 | semidirect |
| 20. #10624982 | C22 | semidirect |
| 21. #10624982 | C22 | semidirect |
| 22. #10624982 | C22 | semidirect |
| 23. D368 | C22 | semidirect |
| 77. #504 | D23 | semidirect |
| 96. M32 | C2×D23 | semidirect |
| 97. C2×C16 | C2×D23 | semidirect |
| 98. C23 | #3416 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093234 | 2 |
| #13093222 | 2 |
| #13092860 | 2 |
| #13092855 | 2 |
| #13092849 | 2 |
| C2×#10624982 | 2 |
| C23×#504 | 2 |
| #3416 | 23 |