Finite Group DatabasebetaFinite Group DatabasebetaOrder 30848.
182 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 182 conjugacy classes of subgroups — too many to draw. Only its 45 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 |
|---|---|---|
| 1. C241⋊#564 | C2 | semidirect |
| 4. #29507458 | C2 | semidirect |
| 5. #330×C241 | C2 | semidirect |
| 53. C241 | #1658 | semidirect |
| 59. #330 | D241 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C241⋊#564 | 2 |
| #29508083 | 2 |
| #29508082 | 2 |
| #29507458 | 2 |
| #330×C241 | 2 |
| #1658 | 241 |