Finite Group DatabasebetaFinite Group DatabasebetaOrder 24448.
432 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 432 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 |
|---|---|---|
| 1. C191⋊#401 | C2 | semidirect |
| 2. #27132604 | C2 | semidirect |
| 5. C4×Dic191⋊C4 | C2 | semidirect |
| 7. #376×C191 | C2 | semidirect |
| 70. C191 | #2401 | semidirect |
| 78. #376 | D191 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C191⋊#401 | 2 |
| #27132604 | 2 |
| #27132592 | 2 |
| #27132587 | 2 |
| C4×Dic191⋊C4 | 2 |
| C4×(C2×D191)⋊C4 | 2 |
| #376×C191 | 2 |
| #2401 | 191 |