Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#16839837 |
| Fitting | C2×C22⋊C8×C61 ⋊ C2 |
| Sylow | C61 ⋊ C2×#436 |
552 conjugacy classes of subgroups.
1256 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #29589334, #29678344, #29678345, … |
| maximal normal subgroup of | #29589334, #29678344, #29678345, … |
| maximal quotient of | C2×#21444701, C2×#21444706, C2×#21444712, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 13194);