Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
126 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 126 conjugacy classes of subgroups — too many to draw. Only its 45 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. #13092814 | C2 | semidirect |
| 3. #13092240 | C2 | semidirect |
| 4. #13092239 | C2 | semidirect |
| 5. #13092237 | C2 | semidirect |
| 21. Q16×C23 | Q8 | semidirect |
| 23. D8×C23 | Q8 | semidirect |
| 79. C23 | #2230 | semidirect |
| 82. Q16 | Dic46 | semidirect |
| 84. D8 | Dic46 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092814 | 2 |
| #13092534 | 2 |
| #13092240 | 2 |
| #13092239 | 2 |
| #13092237 | 2 |
| #13092227 | 2 |
| C23×#360 | 2 |
| #2230 | 23 |