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. #27132569 | C2 | semidirect |
| 5. #27132557 | C2 | semidirect |
| 6. #27132535 | C2 | semidirect |
| 7. #27132532 | C2 | semidirect |
| 8. #27132509 | C2 | semidirect |
| 12. #20259309 | C4 | semidirect |
| 32. C2×Dic382 | C2×C4 | semidirect |
| 44. C22⋊Dic191 | C2×C4 | semidirect |
| 46. C4×Dic191 | C2×C4 | semidirect |
| 111. C191 | #2326 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#20259309 | 2 |
| C2×#20259287 | 2 |
| C2×D4×Dic191 | 2 |
| #27132569 | 2 |
| #27132557 | 2 |
| #27132535 | 2 |
| #27132532 | 2 |
| #27132509 | 2 |
| #390×C191 | 2 |
| #2326 | 191 |