Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
162 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 59 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. #13092511 | C2 | semidirect |
| 4. #13092220 | C2 | semidirect |
| 6. C16×Dic23 | C2 | semidirect |
| 7. C23×#367 | C2 | semidirect |
| 19. #10624982 | C4 | semidirect |
| 32. Dic92 | C2×C4 | semidirect |
| 35. C16×C23 | C2×C4 | semidirect |
| 63. Dic23 | SD32 | semidirect |
| 67. #367 | D23 | semidirect |
| 87. C23 | C4×SD32 | semidirect |
| 104. C16 | C4×D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10624982 | 2 |
| #13092511 | 2 |
| #13092499 | 2 |
| #13092220 | 2 |
| #13092217 | 2 |
| C16×Dic23 | 2 |
| C23×#367 | 2 |
| C4×SD32 | 23 |