Finite Group DatabasebetaFinite Group DatabasebetaOrder 24448.
280 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 280 conjugacy classes of subgroups — too many to draw. Only its 65 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×#20259237 | C2 | semidirect |
| 3. #27132454 | C2 | semidirect |
| 4. #27132451 | C2 | semidirect |
| 5. C2×#100×C191 | C2 | semidirect |
| 6. C22×C22⋊D191 | C4 | semidirect |
| 8. #20259303 | C4 | semidirect |
| 13. #20259290 | C4 | semidirect |
| 16. C2×C22⋊Dic191 | C4 | semidirect |
| 23. C23×D191 | C2×C4 | semidirect |
| 32. C22×Dic191 | C2×C4 | semidirect |
| 40. C22⋊Dic191 | C2×C4 | semidirect |
| 41. C22⋊Dic191 | C2×C4 | semidirect |
| 126. C191 | #2121 | semidirect |
| 129. C2×#100 | D191 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #27133222 | 2 |
| C2×#20259237 | 2 |
| #27132454 | 2 |
| #27132451 | 2 |
| C2×#100×C191 | 2 |
| #2121 | 191 |