Finite Group DatabasebetaFinite Group DatabasebetaOrder 24448.
360 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 113 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. C2×#20259246 | C2 | semidirect |
| 4. #27132425 | C2 | semidirect |
| 16. C22⋊Q8×C191 | C4 | semidirect |
| 95. C191 | #1894 | semidirect |
| 108. C22⋊Q8 | Dic191 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#15690271 | 2 |
| C2×#20259246 | 2 |
| #27132523 | 2 |
| #27132425 | 2 |
| C2×C22⋊Q8×C191 | 2 |
| #1894 | 191 |