Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
482 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 482 conjugacy classes of subgroups — too many to draw. Only its 131 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×#10625090 | C2 | semidirect |
| 2. C2×Q16×D23 | C2 | semidirect |
| 3. #13093079 | C2 | semidirect |
| 4. #13092801 | C2 | semidirect |
| 5. #13092659 | C2 | semidirect |
| 6. #13092654 | C2 | semidirect |
| 7. #13092639 | C2 | semidirect |
| 8. #13092582 | C2 | semidirect |
| 9. #13092557 | C2 | semidirect |
| 10. C8×D92 | C2 | semidirect |
| 11. C4×Q16×C23 | C2 | semidirect |
| 56. Q16×C23 | D4 | semidirect |
| 121. C2×D23 | #135 | semidirect |
| 140. C4×Q16 | D23 | semidirect |
| 177. C23 | #3285 | semidirect |
| 195. Q16 | D92 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625090 | 2 |
| C2×Q16×D23 | 2 |
| #13093079 | 2 |
| #13092801 | 2 |
| #13092659 | 2 |
| #13092654 | 2 |
| #13092639 | 2 |
| #13092582 | 2 |
| #13092557 | 2 |
| C8×D92 | 2 |
| C4×Q16×C23 | 2 |
| #3285 | 23 |