Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
174 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 174 conjugacy classes of subgroups — too many to draw. Only its 49 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 |
|---|---|---|
| 1. C2×#10624982 | C2 | semidirect |
| 2. C2×#10625009 | C2 | semidirect |
| 4. #13092511 | C2 | semidirect |
| 5. Dic23⋊C16 | C2 | semidirect |
| 6. #13092217 | C2 | semidirect |
| 7. C23×#357 | C2 | semidirect |
| 36. Dic92 | D4 | semidirect |
| 72. Dic23 | SD32 | semidirect |
| 79. #357 | D23 | semidirect |
| 98. C23 | #2207 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10624982 | 2 |
| C2×#10625009 | 2 |
| #13092792 | 2 |
| #13092511 | 2 |
| Dic23⋊C16 | 2 |
| #13092217 | 2 |
| C23×#357 | 2 |
| #2207 | 23 |