Finite Group DatabasebetaFinite Group DatabasebetaOrder 30848.
286 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 286 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 1. #29507760 | C2 | semidirect |
| 4. #29507582 | C2 | semidirect |
| 5. #29507486 | C2 | semidirect |
| 6. #29507476 | C2 | semidirect |
| 14. #21440569 | C4 | semidirect |
| 31. #16838754 | C2×C4 | semidirect |
| 37. C4×Dic241 | C2×C4 | semidirect |
| 111. C241 | #1860 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #29507760 | 2 |
| C2×#21440569 | 2 |
| #29507718 | 2 |
| #29507582 | 2 |
| #29507486 | 2 |
| #29507476 | 2 |
| #520×C241 | 2 |
| #1860 | 241 |