Finite Group DatabasebetaFinite Group DatabasebetaOrder 24448.
324 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 8. #20259320 | C4 | semidirect |
| 74. C191 | #1886 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#20259320 | 2 |
| #27133141 | 2 |
| #27132673 | 2 |
| #27132424 | 2 |
| C2×#101×C191 | 2 |
| #1886 | 191 |