Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
402 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 3. C2×#10624992 | C2 | semidirect |
| 5. #13092322 | C2 | semidirect |
| 6. #13092171 | C2 | semidirect |
| 7. C23×#340 | C2 | semidirect |
| 19. C2×#67263 | C4 | semidirect |
| 47. C2×Dic46 | C2×C4 | semidirect |
| 50. C2×C8×C23 | C2×C4 | semidirect |
| 90. C2×Dic23 | SD16 | semidirect |
| 131. #340 | D23 | semidirect |
| 159. C23 | #1877 | semidirect |
| 188. C2×C8 | C4×D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#67263 | 2 |
| C2×#10625064 | 2 |
| C2×#10624992 | 2 |
| C2×#10624991 | 2 |
| #13092322 | 2 |
| #13092171 | 2 |
| C23×#340 | 2 |
| #1877 | 23 |