Finite Group DatabasebetaFinite Group DatabasebetaOrder 30848.
348 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 71 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. #29508291 | C2 | semidirect |
| 3. #29507733 | C2 | semidirect |
| 4. #29507726 | C2 | semidirect |
| 5. #29507691 | C2 | semidirect |
| 6. #29507489 | C2 | semidirect |
| 7. C2×#137×C241 | C2 | semidirect |
| 136. C241 | #2009 | semidirect |
| 139. C2×#137 | D241 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #29508515 | 2 |
| #29508291 | 2 |
| #29507733 | 2 |
| #29507726 | 2 |
| #29507691 | 2 |
| #29507489 | 2 |
| C2×#137×C241 | 2 |
| #2009 | 241 |