Finite Group DatabasebetaFinite Group DatabasebetaOrder 30848.
284 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 79 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. #29507753 | C2 | semidirect |
| 3. #29507735 | C2 | semidirect |
| 4. #29507734 | C2 | semidirect |
| 5. #29507690 | C2 | semidirect |
| 6. #29507673 | C2 | semidirect |
| 7. #410×C241 | C2 | semidirect |
| 13. C2×#16838760 | C4 | semidirect |
| 14. C2×#16838758 | C4 | semidirect |
| 15. C2×#16838757 | C4 | semidirect |
| 16. C2×#16838755 | C4 | semidirect |
| 132. C241 | #1976 | semidirect |
| 139. #410 | D241 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#21440662 | 2 |
| #29507753 | 2 |
| #29507735 | 2 |
| #29507734 | 2 |
| #29507690 | 2 |
| #29507673 | 2 |
| #410×C241 | 2 |
| #1976 | 241 |