Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
478 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 478 conjugacy classes of subgroups — too many to draw. Only its 75 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×#10625079 | C2 | semidirect |
| 2. #13092986 | C2 | semidirect |
| 3. C2×#10625045 | C2 | semidirect |
| 4. C2×#10624987 | C2 | semidirect |
| 5. #13092421 | C2 | semidirect |
| 6. C2×#10625005 | C2 | semidirect |
| 7. C23×#339 | C2 | semidirect |
| 52. C2×D92 | D4 | semidirect |
| 53. C2×D92 | D4 | semidirect |
| 55. C2×Dic46 | D4 | semidirect |
| 57. M16×C23 | D4 | semidirect |
| 59. C4⋊C4×C23 | D4 | semidirect |
| 63. C42×C23 | D4 | semidirect |
| 138. #339 | D23 | semidirect |
| 167. C23 | #2002 | semidirect |
| 200. M16 | D92 | semidirect |
| 203. C4⋊C4 | D92 | semidirect |
| 208. C42 | D92 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625079 | 2 |
| #13092986 | 2 |
| C2×#10625045 | 2 |
| C2×#10624987 | 2 |
| #13092421 | 2 |
| C2×#10625005 | 2 |
| C23×#339 | 2 |
| #2002 | 23 |