Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#103×D61 |
| Fitting | C2×#103×C61 ⋊ C2 |
| Sylow | C61 ⋊ C22×#103 |
816 conjugacy classes of subgroups.
896 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#103×D61, D61×#1763, #29677830, … |
| maximal normal subgroup of | C4×#103×D61, D61×#1763, #29677830, … |
| maximal quotient of | C2×Q8⋊C8×D61, D61×#1487, C2×#21444246, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 12998);