Finite Group DatabasebetaFinite Group DatabasebetaOrder 30848.
168 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 65 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. #29507847 | C2 | semidirect |
| 3. #29507469 | C2 | semidirect |
| 4. #29507447 | C2 | semidirect |
| 6. #29507439 | C2 | semidirect |
| 77. C241 | #1585 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #29507847 | 2 |
| C4×#16838758 | 2 |
| #29507469 | 2 |
| #29507447 | 2 |
| D4⋊#14515349 | 2 |
| #29507439 | 2 |
| C8×D4×C241 | 2 |
| #1585 | 241 |