Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
572 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 153 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. C2×#10625075 | C2 | semidirect |
| 2. C2×#10625121 | C2 | semidirect |
| 3. #13092963 | C2 | semidirect |
| 4. #13092802 | C2 | semidirect |
| 5. #13092800 | C2 | semidirect |
| 6. #13092798 | C2 | semidirect |
| 7. #13092795 | C2 | semidirect |
| 8. #13092792 | C2 | semidirect |
| 9. #13092788 | C2 | semidirect |
| 10. C2×C8×Dic23 | C2 | semidirect |
| 11. C2×C23×#135 | C2 | semidirect |
| 58. C2×C8×C23 | D4 | semidirect |
| 71. C2×C23⋊C8 | D4 | semidirect |
| 120. Dic23 | #135 | semidirect |
| 123. C2×#135 | D23 | semidirect |
| 165. C23 | #3147 | semidirect |
| 194. C2×C8 | C22⋊D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625075 | 2 |
| C2×#10625121 | 2 |
| #13092963 | 2 |
| #13092802 | 2 |
| #13092800 | 2 |
| #13092798 | 2 |
| #13092795 | 2 |
| #13092792 | 2 |
| #13092788 | 2 |
| C2×C8×Dic23 | 2 |
| C2×C23×#135 | 2 |
| #3147 | 23 |