Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
572 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 572 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. C2×#10625087 | C2 | semidirect |
| 2. #13092968 | C2 | semidirect |
| 3. #13092965 | C2 | semidirect |
| 4. #13092798 | C2 | semidirect |
| 5. #13092796 | C2 | semidirect |
| 6. #13092793 | C2 | semidirect |
| 7. #13092790 | C2 | semidirect |
| 8. C4×C8×D23 | C2 | semidirect |
| 9. C23×#492 | C2 | semidirect |
| 59. C8×D23 | D4 | semidirect |
| 92. C4×C23 | #135 | semidirect |
| 104. #492 | D23 | semidirect |
| 133. C23 | #3147 | semidirect |
| 196. C4 | #10625087 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625087 | 2 |
| #13092968 | 2 |
| #13092965 | 2 |
| #13092798 | 2 |
| #13092796 | 2 |
| #13092793 | 2 |
| #13092790 | 2 |
| C4×C8×D23 | 2 |
| C23×#492 | 2 |
| #3147 | 23 |