Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | C2×#16840634 |
| Fitting | C2×M16×C61 ⋊ C4 |
| Sylow | C61 ⋊ C2×#339 |
488 conjugacy classes of subgroups.
356 conjugacy classes — view the full character table.
| maximal subgroup of | #339×#6923, C4×#16840634, #30602299, … |
| maximal normal subgroup of | #339×#6923, C4×#16840634, #30602299, … |
| maximal quotient of | C2×#21460646, #30596059, #30596066, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 20188);