Finite Group DatabasebetaFinite Group DatabasebetaOrder 30848.
168 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 51 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. #29507999 | C2 | semidirect |
| 4. #29507844 | C2 | semidirect |
| 5. #29507469 | C2 | semidirect |
| 7. #332×C241 | C2 | semidirect |
| 54. #14515349 | SD16 | semidirect |
| 79. C241 | #1686 | semidirect |
| 86. #332 | D241 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #29508091 | 2 |
| #29507999 | 2 |
| #29507918 | 2 |
| #29507844 | 2 |
| #29507469 | 2 |
| #29507460 | 2 |
| #332×C241 | 2 |
| #1686 | 241 |