Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C25×C4 |
| direct product | C2×C4⋊C4×#6923 |
| Fitting | C2×C4⋊C4×C61 ⋊ C4 |
| Sylow | C61 ⋊ C2×C4×C4⋊C4 |
928 conjugacy classes of subgroups.
380 conjugacy classes — view the full character table.
| maximal subgroup of | #324×#6923, #30597462, #340×#6923, … |
| maximal normal subgroup of | #324×#6923, #30597462, #340×#6923, … |
| maximal quotient of | C2×#95×#6923, C4×C4⋊C4×#6923, C2×#21460994, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 20941);