Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
284 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 109 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. #13092372 | C2 | semidirect |
| 5. #13092189 | C2 | semidirect |
| 6. #13092187 | C2 | semidirect |
| 7. C23×#405 | C2 | semidirect |
| 19. C2×#67262 | C4 | semidirect |
| 20. C2×C8×D23 | C4 | semidirect |
| 23. #10625006 | C4 | semidirect |
| 24. #10625005 | C4 | semidirect |
| 106. #405 | 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×#10625072 | 2 |
| #13092399 | 2 |
| #13092390 | 2 |
| #13092372 | 2 |
| #13092189 | 2 |
| #13092187 | 2 |
| C23×#405 | 2 |
| #1757 | 23 |