Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
284 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 4. #13092375 | C2 | semidirect |
| 5. #13092373 | C2 | semidirect |
| 6. #13092188 | C2 | semidirect |
| 7. C23×#344 | C2 | semidirect |
| 19. C2×#67262 | C4 | semidirect |
| 20. C2×C8×D23 | C4 | semidirect |
| 21. #10625006 | C4 | semidirect |
| 22. #10625005 | C4 | semidirect |
| 108. #344 | D23 | semidirect |
| 134. C23 | #1757 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625078 | 2 |
| #13092399 | 2 |
| #13092390 | 2 |
| #13092375 | 2 |
| #13092373 | 2 |
| #13092188 | 2 |
| C23×#344 | 2 |
| #1757 | 23 |