Finite Group DatabasebetaFinite Group DatabasebetaOrder 24448.
172 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 172 conjugacy classes of subgroups — too many to draw. Only its 73 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 |
|---|---|---|
| 16. #20259232 | C4 | semidirect |
| 17. C8×Dic191 | C4 | semidirect |
| 78. C191 | #1833 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#20259257 | 2 |
| #27132699 | 2 |
| #27132621 | 2 |
| #27132434 | 2 |
| #27132420 | 2 |
| #27132419 | 2 |
| #344×C191 | 2 |
| #1833 | 191 |