Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
300 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 300 conjugacy classes of subgroups — too many to draw. Only its 83 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. C2×#10625004 | C2 | semidirect |
| 3. C2×#10624987 | C2 | semidirect |
| 4. #13092385 | C2 | semidirect |
| 5. #13092384 | C2 | semidirect |
| 6. C2×C4×C23⋊C8 | C2 | semidirect |
| 7. C2×C23×#104 | C2 | semidirect |
| 14. C2×#67275 | C4 | semidirect |
| 15. C2×#67274 | C4 | semidirect |
| 16. C2×#67273 | C4 | semidirect |
| 17. C2×#67272 | C4 | semidirect |
| 117. C2×#104 | D23 | semidirect |
| 146. C23 | #1974 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625121 | 2 |
| C2×#10625004 | 2 |
| C2×#10624987 | 2 |
| #13092385 | 2 |
| #13092384 | 2 |
| C2×C4×C23⋊C8 | 2 |
| C2×C23×#104 | 2 |
| #1974 | 23 |