Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×Dic488 |
| Sylow | C61 ⋊ C4×Q32 |
150 conjugacy classes of subgroups.
1964 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #29567465, #29567467, #29567471, … |
| maximal normal subgroup of | #29567465, #29567467, #29567471, … |
| maximal quotient of | C8×Dic488, #29591931, #29592005, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 6370);