Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
532 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 149 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×#10625080 | C2 | semidirect |
| 3. C22×#67275 | C2 | semidirect |
| 4. #13092991 | C2 | semidirect |
| 5. #13092988 | C2 | semidirect |
| 6. #13092810 | C2 | semidirect |
| 7. #13092808 | C2 | semidirect |
| 8. #13092798 | C2 | semidirect |
| 9. #13092795 | C2 | semidirect |
| 10. #13092375 | C2 | semidirect |
| 11. C2×C23×#137 | C2 | semidirect |
| 140. C2×#137 | D23 | semidirect |
| 186. C23 | #3156 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625080 | 2 |
| C2×#10625121 | 2 |
| C22×#67275 | 2 |
| #13092991 | 2 |
| #13092988 | 2 |
| #13092810 | 2 |
| #13092808 | 2 |
| #13092798 | 2 |
| #13092795 | 2 |
| #13092375 | 2 |
| C2×C23×#137 | 2 |
| #3156 | 23 |