Finite Group DatabasebetaFinite Group DatabasebetaOrder 30848.
260 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 79 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. #29507743 | C2 | semidirect |
| 5. #29507488 | C2 | semidirect |
| 6. #29507487 | C2 | semidirect |
| 7. #424×C241 | C2 | semidirect |
| 92. C241 | #1868 | semidirect |
| 96. #424 | D241 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #29508483 | 2 |
| #29507743 | 2 |
| #29507690 | 2 |
| #29507683 | 2 |
| #29507488 | 2 |
| #29507487 | 2 |
| #424×C241 | 2 |
| #1868 | 241 |