Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C23×C4 |
| direct product | C2×#16840160 |
| Sylow | C61 ⋊ C2×#498 |
424 conjugacy classes of subgroups.
1964 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #29575275, #29575277, #29579228, … |
| maximal normal subgroup of | #29575275, #29575277, #29579228, … |
| maximal quotient of | C2×#21445976, C2×#21446547, C2×#21446780, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 15009);