Finite Group DatabasebetaFinite Group DatabasebetaOrder 30848.
134 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 134 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 |
|---|---|---|
| 2. #29507764 | C2 | semidirect |
| 3. #29507541 | C2 | semidirect |
| 4. #29507540 | C2 | semidirect |
| 5. #29507530 | C2 | semidirect |
| 6. #29507498 | C2 | semidirect |
| 7. #361×C241 | C2 | semidirect |
| 65. C241 | #2238 | semidirect |
| 72. #361 | D241 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #29507967 | 2 |
| #29507764 | 2 |
| #29507541 | 2 |
| #29507540 | 2 |
| #29507530 | 2 |
| #29507498 | 2 |
| #361×C241 | 2 |
| #2238 | 241 |