Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | SD16×C22⋊D61 |
| Fitting | C22×SD16×C61 ⋊ C2 |
| Sylow | C61 ⋊ D4×SD16 |
546 conjugacy classes of subgroups.
875 conjugacy classes — view the full character table.
| maximal subgroup of | D4×SD16×D61, C2×SD16×C22⋊D61, #30555302, … |
| maximal normal subgroup of | D4×SD16×D61, C2×SD16×C22⋊D61, #30555302, … |
| maximal quotient of | #29669476, #29669481, #29669491, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 16200);