Finite Group DatabasebetaFinite Group DatabasebetaOrder 24448.
612 conjugacy classes of subgroups; only the 197 normal subgroups are shown.
This group has 612 conjugacy classes of subgroups — too many to draw. Only its 197 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. C2×#20259287 | C2 | semidirect |
| 4. #27132568 | C2 | semidirect |
| 6. #27132553 | C2 | semidirect |
| 7. #27132534 | C2 | semidirect |
| 8. #27132509 | C2 | semidirect |
| 9. #384×C191 | C2 | semidirect |
| 13. #20259310 | C4 | semidirect |
| 33. C2×Dic382 | C2×C4 | semidirect |
| 46. (C2×D191)⋊C4 | C2×C4 | semidirect |
| 57. C42×C191 | C2×C4 | semidirect |
| 111. C191 | #2326 | semidirect |
| 120. #384 | D191 | semidirect |
| 169. C42 | C4×D191 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#20259310 | 2 |
| C2×#20259287 | 2 |
| C2×#20259284 | 2 |
| #27132568 | 2 |
| #27132564 | 2 |
| #27132553 | 2 |
| #27132534 | 2 |
| #27132509 | 2 |
| #384×C191 | 2 |
| #2326 | 191 |