Finite Group DatabasebetaFinite Group DatabasebetaOrder 24448.
442 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 442 conjugacy classes of subgroups — too many to draw. Only its 101 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×#20259250 | C2 | semidirect |
| 3. #27132627 | C2 | semidirect |
| 4. #27132423 | C2 | semidirect |
| 5. C22×C42×C191 | C2 | semidirect |
| 9. #20259301 | C4 | semidirect |
| 10. #20259296 | C4 | semidirect |
| 23. C2×Dic382 | C2×C4 | semidirect |
| 24. C2×D764 | C2×C4 | semidirect |
| 31. C4⋊Dic191 | C2×C4 | semidirect |
| 49. C42×C191 | D4 | semidirect |
| 82. C22×C191 | #104 | semidirect |
| 100. C191 | #1896 | semidirect |
| 103. C22×C42 | D191 | semidirect |
| 150. C42 | C22⋊D191 | semidirect |
| 185. C22 | #20259250 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #27133174 | 2 |
| C2×#20259250 | 2 |
| #27132627 | 2 |
| #27132423 | 2 |
| C22×C42×C191 | 2 |
| #1896 | 191 |