Finite Group DatabasebetaFinite Group DatabasebetaOrder 30848.
252 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 252 conjugacy classes of subgroups — too many to draw. Only its 77 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. C2×C4⋊#14515349 | C2 | semidirect |
| 3. #29507465 | C2 | semidirect |
| 4. #29507460 | C2 | semidirect |
| 5. #432×C241 | C2 | semidirect |
| 84. C241 | #1551 | semidirect |
| 87. #432 | D241 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #29508267 | 2 |
| C2×C4⋊#14515349 | 2 |
| #29507465 | 2 |
| #29507460 | 2 |
| #432×C241 | 2 |
| #1551 | 241 |