Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
544 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 544 conjugacy classes of subgroups — too many to draw. Only its 157 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. C22×#67263 | C2 | semidirect |
| 2. C22×#67262 | C2 | semidirect |
| 3. C2×#10625068 | C2 | semidirect |
| 5. #13092664 | C2 | direct (N × H) |
| 6. C2×#10624992 | C2 | semidirect |
| 7. C2×#10624991 | C2 | semidirect |
| 8. C2×C23×#107 | C2 | semidirect |
| 21. C2×#67263 | C22 | semidirect |
| 23. C2×#67262 | C22 | semidirect |
| 25. #10625068 | C22 | semidirect |
| 28. C23×#107 | C22 | semidirect |
| 29. #10624992 | C22 | semidirect |
| 30. #10624991 | C22 | semidirect |
| 52. C2×C8×C23 | D4 | semidirect |
| 96. C8×C23 | C2×D4 | semidirect |
| 123. C2×#107 | D23 | semidirect |
| 126. C2×C23 | #468 | semidirect |
| 151. #107 | C2×D23 | semidirect |
| 154. C23 | C2×#468 | semidirect |
| 180. C2×C8 | D92 | semidirect |
| 221. C8 | C2×D92 | semidirect |
| 243. C2 | #13092664 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#67263 | 2 |
| C22×#67262 | 2 |
| C2×#10625068 | 2 |
| C2×#10625066 | 2 |
| #13092664 | 2 |
| C2×#10624992 | 2 |
| C2×#10624991 | 2 |
| C2×C23×#107 | 2 |
| C2×#468 | 23 |