Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
456 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 145 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. #13092967 | C2 | semidirect |
| 2. #13092820 | C2 | semidirect |
| 3. #13092793 | C2 | semidirect |
| 4. #13092765 | C2 | semidirect |
| 5. #13092763 | C2 | semidirect |
| 6. #13092651 | C2 | semidirect |
| 7. C4×#67272 | C2 | semidirect |
| 8. C2×C4×C23⋊C8 | C2 | semidirect |
| 9. C23×#532 | C2 | semidirect |
| 80. C2×C4×C23 | D8 | semidirect |
| 95. C23⋊C8 | #41 | semidirect |
| 116. #532 | D23 | semidirect |
| 155. C23 | #3169 | semidirect |
| 208. C2×C4 | #67272 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092967 | 2 |
| #13092820 | 2 |
| #13092793 | 2 |
| #13092765 | 2 |
| #13092763 | 2 |
| #13092651 | 2 |
| C4×#67272 | 2 |
| C2×C4×C23⋊C8 | 2 |
| C23×#532 | 2 |
| #3169 | 23 |