Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
324 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 83 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. #13092457 | C2 | semidirect |
| 5. #13092178 | C2 | semidirect |
| 6. #13092176 | C2 | semidirect |
| 7. C23×#428 | C2 | semidirect |
| 23. #10625005 | C4 | semidirect |
| 39. M16×C23 | C2×C4 | semidirect |
| 57. #67267 | C2×C4 | semidirect |
| 111. #428 | D23 | semidirect |
| 140. C23 | #1856 | semidirect |
| 156. M16 | C4×D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092891 | 2 |
| #13092457 | 2 |
| C2×#10625005 | 2 |
| #13092318 | 2 |
| #13092178 | 2 |
| #13092176 | 2 |
| C23×#428 | 2 |
| #1856 | 23 |