Finite Group DatabasebetaFinite Group DatabasebetaOrder 30848.
130 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 130 conjugacy classes of subgroups — too many to draw. Only its 49 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 |
|---|---|---|
| 22. Dic964 | Q8 | semidirect |
| 59. C241 | #2227 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #29508121 | 2 |
| #29507811 | 2 |
| #29507542 | 2 |
| #29507535 | 2 |
| #29507522 | 2 |
| #29507520 | 2 |
| #366×C241 | 2 |
| #2227 | 241 |