Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | D16×Dic61 |
| Sylow | C61 ⋊ C4×D16 |
174 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 174 conjugacy classes of subgroups — too many to draw. Only its 67 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
704 conjugacy classes — view the full character table.
| maximal subgroup of | #29600584, D32×Dic61, SD64×Dic61, … |
| maximal normal subgroup of | #29600584, D32×Dic61, SD64×Dic61, … |
| maximal quotient of | D16×#92418, #29591909, #29591992, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 6357);