Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
552 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 552 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×#10625089 | C2 | semidirect |
| 3. C4⋊Q8×D23 | C2 | semidirect |
| 4. #13092810 | C2 | semidirect |
| 5. #13092796 | C2 | semidirect |
| 6. #13092791 | C2 | semidirect |
| 7. #13092790 | C2 | semidirect |
| 8. C4×#67262 | C2 | semidirect |
| 9. C23×#494 | C2 | semidirect |
| 59. #67262 | D4 | semidirect |
| 90. C4×C23 | #137 | semidirect |
| 100. #494 | D23 | semidirect |
| 130. C23 | #3152 | semidirect |
| 191. C4 | #10625089 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625089 | 2 |
| #13092968 | 2 |
| C4⋊Q8×D23 | 2 |
| #13092810 | 2 |
| #13092796 | 2 |
| #13092791 | 2 |
| #13092790 | 2 |
| C4×#67262 | 2 |
| C23×#494 | 2 |
| #3152 | 23 |