Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
572 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 157 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×#10625121 | C2 | semidirect |
| 2. #13092967 | C2 | semidirect |
| 3. #13092799 | C2 | semidirect |
| 4. #13092796 | C2 | semidirect |
| 5. #13092793 | C2 | semidirect |
| 6. #13092791 | C2 | semidirect |
| 7. #13092789 | C2 | semidirect |
| 8. C2×C4×C23⋊C8 | C2 | semidirect |
| 9. C23×#532 | C2 | semidirect |
| 57. C2×C23⋊C8 | D4 | semidirect |
| 94. C4×C23 | #135 | semidirect |
| 99. #532 | D23 | semidirect |
| 133. C23 | #3147 | semidirect |
| 196. C4 | #10625121 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625121 | 2 |
| #13092967 | 2 |
| #13092799 | 2 |
| #13092796 | 2 |
| #13092793 | 2 |
| #13092791 | 2 |
| #13092789 | 2 |
| C2×C4×C23⋊C8 | 2 |
| C23×#532 | 2 |
| #3147 | 23 |