Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
482 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 482 conjugacy classes of subgroups — too many to draw. Only its 125 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×#10625083 | C2 | semidirect |
| 2. C22×Dic92 | C2 | semidirect |
| 3. #13093073 | C2 | semidirect |
| 4. #13092800 | C2 | semidirect |
| 5. #13092659 | C2 | semidirect |
| 6. #13092638 | C2 | semidirect |
| 7. #13092580 | C2 | semidirect |
| 8. #13092555 | C2 | semidirect |
| 9. #13092511 | C2 | semidirect |
| 10. C8×C22⋊D23 | C2 | semidirect |
| 11. C23×#466 | C2 | semidirect |
| 78. Dic92 | D4 | semidirect |
| 117. C22×C23 | #135 | semidirect |
| 136. #466 | D23 | semidirect |
| 177. C23 | #3285 | semidirect |
| 256. C22 | #10625083 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625083 | 2 |
| C22×Dic92 | 2 |
| #13093073 | 2 |
| #13092800 | 2 |
| #13092659 | 2 |
| #13092638 | 2 |
| #13092580 | 2 |
| #13092555 | 2 |
| #13092511 | 2 |
| C8×C22⋊D23 | 2 |
| C23×#466 | 2 |
| #3285 | 23 |