Finite Group DatabasebetaFinite Group DatabasebetaOrder 24448.
480 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 133 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. C4⋊Q8×D191 | C2 | semidirect |
| 4. #27132873 | C2 | semidirect |
| 5. #27132871 | C2 | semidirect |
| 6. #27132869 | C2 | semidirect |
| 7. #27132867 | C2 | semidirect |
| 8. #27132865 | C2 | semidirect |
| 9. #27132685 | C2 | semidirect |
| 10. #27132670 | C2 | semidirect |
| 11. #462×C191 | C2 | semidirect |
| 132. C4×C191 | #137 | semidirect |
| 139. Dic191 | #137 | semidirect |
| 145. C191 | #3039 | semidirect |
| 152. #462 | D191 | semidirect |
| 283. C4 | #20259354 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#20259354 | 2 |
| C4⋊Q8×D191 | 2 |
| C4×#15690288 | 2 |
| #27132873 | 2 |
| #27132871 | 2 |
| #27132869 | 2 |
| #27132867 | 2 |
| #27132865 | 2 |
| #27132685 | 2 |
| #27132670 | 2 |
| #462×C191 | 2 |
| #3039 | 191 |