Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
420 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 420 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. #13092745 | C2 | semidirect |
| 4. #13092702 | C2 | semidirect |
| 5. #13092648 | C2 | semidirect |
| 6. #13092619 | C2 | semidirect |
| 7. #13092556 | C2 | semidirect |
| 8. C4×#67274 | C2 | semidirect |
| 9. D4×C23⋊C8 | C2 | semidirect |
| 10. C2×#10625017 | C2 | semidirect |
| 11. D4×Q8×C23 | C2 | semidirect |
| 83. Q8×C23 | #41 | semidirect |
| 84. D4×C23 | SD16 | semidirect |
| 124. D4×Q8 | D23 | semidirect |
| 169. C23 | #3298 | semidirect |
| 213. Q8 | #67290 | semidirect |
| 217. D4 | #67274 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093071 | 2 |
| #13092767 | 2 |
| #13092745 | 2 |
| #13092702 | 2 |
| #13092648 | 2 |
| #13092619 | 2 |
| #13092556 | 2 |
| C4×#67274 | 2 |
| D4×C23⋊C8 | 2 |
| C2×#10625017 | 2 |
| D4×Q8×C23 | 2 |
| #3298 | 23 |