Finite Group DatabasebetaFinite Group DatabasebetaOrder 30848.
272 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 272 conjugacy classes of subgroups — too many to draw. Only its 97 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 |
|---|---|---|
| 81. C4×C241 | #101 | semidirect |
| 93. C241 | #1801 | semidirect |
| 177. C4 | #21440560 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×Dic482 | 2 |
| #29507741 | 2 |
| C2×#21440560 | 2 |
| #29507485 | 2 |
| #423×C241 | 2 |
| #1801 | 241 |