Finite Group DatabasebetaFinite Group DatabasebetaOrder 30848.
262 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 73 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 |
|---|---|---|
| 4. #29507477 | C2 | semidirect |
| 5. #29507474 | C2 | semidirect |
| 6. #29507473 | C2 | semidirect |
| 7. #339×C241 | C2 | semidirect |
| 15. #21440599 | C4 | semidirect |
| 16. C42×D241 | C4 | semidirect |
| 102. C241 | #1827 | semidirect |
| 108. #339 | D241 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#16838770 | 2 |
| #29507699 | 2 |
| #29507690 | 2 |
| #29507477 | 2 |
| #29507474 | 2 |
| #29507473 | 2 |
| #339×C241 | 2 |
| #1827 | 241 |