Finite Group DatabasebetaFinite Group DatabasebetaOrder 24448.
716 conjugacy classes of subgroups; only the 249 normal subgroups are shown.
This group has 716 conjugacy classes of subgroups — too many to draw. Only its 249 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. #27133141 | C2 | semidirect |
| 3. #27132636 | C2 | semidirect |
| 4. #519×C191 | C2 | semidirect |
| 7. C2×#15690288 | C4 | semidirect |
| 9. C2×Q8×D191 | C4 | semidirect |
| 63. C191 | #2884 | semidirect |
| 67. #519 | D191 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#20259370 | 2 |
| #27133141 | 2 |
| #27132636 | 2 |
| #519×C191 | 2 |
| #2884 | 191 |