Finite Group DatabasebetaFinite Group DatabasebetaOrder 30848.
170 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 170 conjugacy classes of subgroups — too many to draw. Only its 43 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 |
|---|---|---|
| 1. #29508155 | C2 | semidirect |
| 2. #29508153 | C2 | semidirect |
| 3. #29508092 | C2 | semidirect |
| 4. #29507833 | C2 | semidirect |
| 5. #29507537 | C2 | semidirect |
| 6. #29507529 | C2 | semidirect |
| 7. #361×C241 | C2 | semidirect |
| 26. Dic964 | D4 | semidirect |
| 30. D1928 | D4 | semidirect |
| 77. C241 | #2213 | semidirect |
| 85. #361 | D241 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #29508155 | 2 |
| #29508153 | 2 |
| #29508092 | 2 |
| #29507833 | 2 |
| #29507537 | 2 |
| #29507529 | 2 |
| #361×C241 | 2 |
| #2213 | 241 |