Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
472 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 472 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×#10625080 | C2 | semidirect |
| 2. C2×#10625078 | C2 | semidirect |
| 4. #13092993 | C2 | semidirect |
| 5. #13092676 | C2 | semidirect |
| 6. #13092664 | C2 | semidirect |
| 7. #13092659 | C2 | semidirect |
| 8. #13092647 | C2 | semidirect |
| 9. #13092411 | C2 | semidirect |
| 10. C2×#10624992 | C2 | semidirect |
| 11. C23×#428 | C2 | semidirect |
| 63. M16×C23 | D4 | semidirect |
| 146. #428 | D23 | semidirect |
| 186. C23 | #3063 | semidirect |
| 210. M16 | D92 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625080 | 2 |
| C2×#10625078 | 2 |
| #13092998 | 2 |
| #13092993 | 2 |
| #13092676 | 2 |
| #13092664 | 2 |
| #13092659 | 2 |
| #13092647 | 2 |
| #13092411 | 2 |
| C2×#10624992 | 2 |
| C23×#428 | 2 |
| #3063 | 23 |