Finite Group DatabasebetaFinite Group DatabasebetaOrder 30848.
196 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 196 conjugacy classes of subgroups — too many to draw. Only its 45 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. #29508086 | C2 | semidirect |
| 3. #29508077 | C2 | semidirect |
| 4. #29508076 | C2 | semidirect |
| 5. #29507458 | C2 | semidirect |
| 6. #29507456 | C2 | semidirect |
| 7. #329×C241 | C2 | semidirect |
| 96. C241 | #1662 | semidirect |
| 104. #329 | D241 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #29508461 | 2 |
| #29508086 | 2 |
| #29508077 | 2 |
| #29508076 | 2 |
| #29507458 | 2 |
| #29507456 | 2 |
| #329×C241 | 2 |
| #1662 | 241 |