Finite Group DatabasebetaFinite Group DatabasebetaOrder 30848.
208 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 208 conjugacy classes of subgroups — too many to draw. Only its 121 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. #29507439 | C2 | semidirect |
| 4. #29507438 | C2 | semidirect |
| 32. #14515349 | M16 | semidirect |
| 58. C241 | #1451 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#16838754 | 2 |
| C2×C4×#14515349 | 2 |
| #29507439 | 2 |
| #29507438 | 2 |
| #431×C241 | 2 |
| #1451 | 241 |