Finite Group DatabasebetaFinite Group DatabasebetaOrder 30848.
286 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 286 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 |
|---|---|---|
| 2. #29507577 | C2 | semidirect |
| 3. #29507455 | C2 | semidirect |
| 4. #29507452 | C2 | semidirect |
| 5. #407×C241 | C2 | semidirect |
| 6. C2×#16838770 | C4 | semidirect |
| 8. #21440621 | C4 | semidirect |
| 10. #21440616 | C4 | semidirect |
| 15. #21440601 | C4 | semidirect |
| 117. C241 | #1513 | semidirect |
| 120. #407 | D241 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #29508228 | 2 |
| #29507577 | 2 |
| #29507455 | 2 |
| #29507452 | 2 |
| #407×C241 | 2 |
| #1513 | 241 |