Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
286 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 286 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 |
|---|---|---|
| 4. #13092282 | C2 | semidirect |
| 5. #13092185 | C2 | semidirect |
| 6. #13092176 | C2 | semidirect |
| 7. C23×#428 | C2 | semidirect |
| 23. #10625007 | C4 | semidirect |
| 40. M16×C23 | C2×C4 | semidirect |
| 54. C4×Dic23 | C2×C4 | semidirect |
| 107. #428 | D23 | semidirect |
| 137. C23 | #1860 | semidirect |
| 154. M16 | C4×D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092897 | 2 |
| C2×#10625007 | 2 |
| #13092416 | 2 |
| #13092282 | 2 |
| #13092185 | 2 |
| #13092176 | 2 |
| C23×#428 | 2 |
| #1860 | 23 |