Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
346 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 346 conjugacy classes of subgroups — too many to draw. Only its 79 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. #13092891 | C2 | semidirect |
| 3. #13092423 | C2 | semidirect |
| 4. #13092391 | C2 | semidirect |
| 5. #13092189 | C2 | semidirect |
| 6. #13092173 | C2 | semidirect |
| 7. C23×#421 | C2 | semidirect |
| 14. C2×#67274 | C4 | semidirect |
| 15. C2×#67272 | C4 | semidirect |
| 30. C2×Q8×C23 | C2×C4 | semidirect |
| 32. C2×D4×C23 | C2×C4 | semidirect |
| 59. C2×C23⋊C8 | C2×C4 | semidirect |
| 112. #421 | D23 | semidirect |
| 140. C23 | #1904 | semidirect |
| 146. C2×Q8 | C4×D23 | semidirect |
| 154. C2×D4 | C4×D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625120 | 2 |
| #13092891 | 2 |
| #13092423 | 2 |
| #13092391 | 2 |
| #13092189 | 2 |
| #13092173 | 2 |
| C23×#421 | 2 |
| #1904 | 23 |