Finite Group DatabasebetaFinite Group DatabasebetaOrder 30848.
264 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 264 conjugacy classes of subgroups — too many to draw. Only its 93 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. #29507770 | C2 | semidirect |
| 3. #29507442 | C2 | semidirect |
| 5. #431×C241 | C2 | semidirect |
| 30. C2×C4×D241 | C8 | semidirect |
| 102. C241 | #1458 | semidirect |
| 106. #431 | D241 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#21440599 | 2 |
| #29507770 | 2 |
| #29507442 | 2 |
| #29507440 | 2 |
| #431×C241 | 2 |
| #1458 | 241 |