Finite Group DatabasebetaFinite Group DatabasebetaOrder 30848.
140 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 140 conjugacy classes of subgroups — too many to draw. Only its 53 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 |
|---|---|---|
| 3. #29507543 | C2 | semidirect |
| 4. #29507522 | C2 | semidirect |
| 55. C241 | #2236 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #29507958 | 2 |
| C2×#21440576 | 2 |
| #29507543 | 2 |
| #29507522 | 2 |
| C22⋊C16×C241 | 2 |
| #2236 | 241 |