Finite Group DatabasebetaFinite Group DatabasebetaOrder 30848.
124 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 124 conjugacy classes of subgroups — too many to draw. Only its 41 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 |
|---|---|---|
| 3. #29507541 | C2 | semidirect |
| 4. #29507540 | C2 | semidirect |
| 5. #29507533 | C2 | semidirect |
| 7. #362×C241 | C2 | semidirect |
| 61. C241 | #2239 | semidirect |
| 68. #362 | D241 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #29507972 | 2 |
| #29507764 | 2 |
| #29507541 | 2 |
| #29507540 | 2 |
| #29507533 | 2 |
| #29507498 | 2 |
| #362×C241 | 2 |
| #2239 | 241 |