Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
552 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 552 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 |
|---|---|---|
| 1. C2×#10625089 | C2 | semidirect |
| 2. C2×#10625086 | C2 | semidirect |
| 4. C4⋊Q8×D23 | C2 | semidirect |
| 5. #13092812 | C2 | semidirect |
| 6. #13092811 | C2 | semidirect |
| 7. #13092809 | C2 | semidirect |
| 8. #13092795 | C2 | semidirect |
| 9. #13092788 | C2 | semidirect |
| 10. #13092369 | C2 | semidirect |
| 11. C23×#497 | C2 | semidirect |
| 79. #67262 | D4 | semidirect |
| 125. Dic23 | #137 | semidirect |
| 133. #497 | D23 | semidirect |
| 171. C23 | #3152 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625089 | 2 |
| C2×#10625086 | 2 |
| #13092966 | 2 |
| C4⋊Q8×D23 | 2 |
| #13092812 | 2 |
| #13092811 | 2 |
| #13092809 | 2 |
| #13092795 | 2 |
| #13092788 | 2 |
| #13092369 | 2 |
| C23×#497 | 2 |
| #3152 | 23 |