Finite Group DatabasebetaFinite Group DatabasebetaOrder 24448.
524 conjugacy classes of subgroups; only the 205 normal subgroups are shown.
This group has 524 conjugacy classes of subgroups — too many to draw. Only its 205 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 |
|---|---|---|
| 3. #27132547 | C2 | semidirect |
| 4. C4×Dic191⋊C4 | C2 | semidirect |
| 6. #27132509 | C2 | semidirect |
| 7. C43×C191 | C2 | semidirect |
| 9. #20259279 | C4 | semidirect |
| 75. C191 | #2298 | semidirect |
| 83. C43 | D191 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#20259279 | 2 |
| #27132554 | 2 |
| #27132547 | 2 |
| C4×Dic191⋊C4 | 2 |
| C4×(C2×D191)⋊C4 | 2 |
| #27132509 | 2 |
| C43×C191 | 2 |
| #2298 | 191 |