Finite Group DatabasebetaFinite Group DatabasebetaOrder 30848.
232 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 105 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 |
|---|---|---|
| 12. #21440577 | C4 | semidirect |
| 13. #21440575 | C4 | semidirect |
| 14. #21440573 | C4 | semidirect |
| 18. C4×#14515349 | C4 | semidirect |
| 79. C241 | #1772 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#21440577 | 2 |
| #29507753 | 2 |
| #29507675 | 2 |
| #29507673 | 2 |
| C2×C4×#14515349 | 2 |
| #29507477 | 2 |
| #339×C241 | 2 |
| #1772 | 241 |