Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
142 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 142 conjugacy classes of subgroups — too many to draw. Only its 55 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. #13092822 | C2 | semidirect |
| 3. #13092245 | C2 | semidirect |
| 5. C23×C4⋊C16 | C2 | semidirect |
| 26. D184 | Q8 | semidirect |
| 55. C4⋊C16 | D23 | semidirect |
| 70. C23 | #2226 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092822 | 2 |
| C4×D184 | 2 |
| #13092245 | 2 |
| #13092219 | 2 |
| C23×C4⋊C16 | 2 |
| #2226 | 23 |