Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
496 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 496 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×#10625083 | C2 | semidirect |
| 2. #13092965 | C2 | semidirect |
| 3. C4×#67290 | C2 | semidirect |
| 4. #13092638 | C2 | semidirect |
| 5. #13092630 | C2 | semidirect |
| 6. #13092628 | C2 | semidirect |
| 7. #13092622 | C2 | semidirect |
| 8. #13092614 | C2 | semidirect |
| 9. C4⋊C8×D23 | C2 | semidirect |
| 10. #13092410 | C2 | semidirect |
| 11. C23×#459 | C2 | semidirect |
| 57. #67290 | D4 | semidirect |
| 136. C4×C23 | #135 | semidirect |
| 153. #459 | D23 | semidirect |
| 194. C23 | #3035 | semidirect |
| 292. C4 | #10625083 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625083 | 2 |
| #13092965 | 2 |
| C4×#67290 | 2 |
| #13092638 | 2 |
| #13092630 | 2 |
| #13092628 | 2 |
| #13092622 | 2 |
| #13092614 | 2 |
| C4⋊C8×D23 | 2 |
| #13092410 | 2 |
| C23×#459 | 2 |
| #3035 | 23 |