Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
388 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 141 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 |
|---|---|---|
| 2. #13092767 | C2 | semidirect |
| 3. #13092750 | C2 | semidirect |
| 4. #13092712 | C2 | semidirect |
| 5. #13092656 | C2 | semidirect |
| 6. #13092624 | C2 | semidirect |
| 7. #13092573 | C2 | semidirect |
| 8. C4×#67275 | C2 | semidirect |
| 10. C2×#10625017 | C2 | semidirect |
| 82. D4×C23 | Q16 | semidirect |
| 163. C23 | #3299 | semidirect |
| 208. D4 | #67275 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093124 | 2 |
| #13092767 | 2 |
| #13092750 | 2 |
| #13092712 | 2 |
| #13092656 | 2 |
| #13092624 | 2 |
| #13092573 | 2 |
| C4×#67275 | 2 |
| D4×C23⋊C8 | 2 |
| C2×#10625017 | 2 |
| D4×Q8×C23 | 2 |
| #3299 | 23 |