Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#16840562 |
| Fitting | C22×M16×C61 ⋊ C2 |
| Sylow | C61 ⋊ C2×#575 |
1484 conjugacy classes of subgroups.
1244 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #29586783, #29586787, #29586790, … |
| maximal normal subgroup of | #29586783, #29586787, #29586790, … |
| maximal quotient of | C2×#21454339, C2×#21454409, C2×#21454621, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 19257);