Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#16840759 |
| Fitting | C2×#41×C61 ⋊ C4 |
| Sylow | C61 ⋊ C2×#421 |
772 conjugacy classes of subgroups.
344 conjugacy classes — view the full character table.
| maximal subgroup of | #30602543, #30602545, #30602560, … |
| maximal normal subgroup of | #30602543, #30602545, #30602560, … |
| maximal quotient of | C2×#21461119, C2×#21461122, C2×#21461114, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 21138);