Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
478 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 478 conjugacy classes of subgroups — too many to draw. Only its 73 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. #13092984 | C2 | semidirect |
| 3. C2×#10625111 | C2 | semidirect |
| 4. C2×#10625007 | C2 | semidirect |
| 5. #13092423 | C2 | semidirect |
| 6. #13092178 | C2 | semidirect |
| 7. C2×C23×#100 | C2 | semidirect |
| 52. C2×D92 | D4 | semidirect |
| 53. C2×D92 | D4 | semidirect |
| 55. C2×Dic46 | D4 | semidirect |
| 59. M16×C23 | D4 | semidirect |
| 64. C4⋊Dic23 | D4 | semidirect |
| 67. C4×Dic23 | D4 | semidirect |
| 137. C2×#100 | D23 | semidirect |
| 167. C23 | #2002 | semidirect |
| 200. M16 | C22⋊D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625079 | 2 |
| #13092984 | 2 |
| C2×#10625111 | 2 |
| C2×#10625007 | 2 |
| #13092423 | 2 |
| #13092178 | 2 |
| C2×C23×#100 | 2 |
| #2002 | 23 |