Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
424 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 424 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 |
|---|---|---|
| 2. #13092779 | C2 | semidirect |
| 3. #13092769 | C2 | semidirect |
| 4. #13092765 | C2 | semidirect |
| 5. #13092416 | C2 | semidirect |
| 6. C4×#67267 | C2 | semidirect |
| 7. C2×C23×C4⋊Q8 | C2 | semidirect |
| 97. C2×C4⋊Q8 | D23 | semidirect |
| 129. C23 | #3141 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092967 | 2 |
| #13092779 | 2 |
| #13092769 | 2 |
| #13092765 | 2 |
| #13092416 | 2 |
| C4×#67267 | 2 |
| C2×C23×C4⋊Q8 | 2 |
| #3141 | 23 |