Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
412 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 149 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. #13092974 | C2 | semidirect |
| 3. #13092815 | C2 | semidirect |
| 4. #13092790 | C2 | semidirect |
| 5. #13092768 | C2 | semidirect |
| 6. #13092764 | C2 | semidirect |
| 7. #13092646 | C2 | semidirect |
| 8. C4×#67263 | C2 | semidirect |
| 9. C2×C4×C8×C23 | C2 | semidirect |
| 71. C2×C4×C23 | SD16 | semidirect |
| 90. C8×C23 | #41 | semidirect |
| 116. C2×C4×C8 | D23 | semidirect |
| 147. C23 | #3167 | semidirect |
| 195. C2×C4 | #67263 | semidirect |
| 203. C8 | #67288 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092974 | 2 |
| #13092967 | 2 |
| #13092815 | 2 |
| #13092790 | 2 |
| #13092768 | 2 |
| #13092764 | 2 |
| #13092646 | 2 |
| C4×#67263 | 2 |
| C2×C4×C8×C23 | 2 |
| #3167 | 23 |