Finite Group DatabasebetaFinite Group DatabasebetaOrder 24448.
174 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 174 conjugacy classes of subgroups — too many to draw. Only its 49 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. C2×#20259267 | C2 | semidirect |
| 2. C2×#20259266 | C2 | semidirect |
| 4. #27132757 | C2 | semidirect |
| 5. Dic191⋊C16 | C2 | semidirect |
| 6. #27132463 | C2 | semidirect |
| 7. #357×C191 | C2 | semidirect |
| 26. Dic764 | D4 | semidirect |
| 71. Dic191 | SD32 | semidirect |
| 77. C191 | #2207 | semidirect |
| 85. #357 | D191 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#20259267 | 2 |
| C2×#20259266 | 2 |
| #27133038 | 2 |
| #27132757 | 2 |
| Dic191⋊C16 | 2 |
| #27132463 | 2 |
| #357×C191 | 2 |
| #2207 | 191 |