Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C4×SD16×C61 ⋊ C2 |
| Sylow | C61 ⋊ #3167 |
412 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,61|c^2=f,d^2=e,f^2=g,b^a=be,c^a=cf,f^a=fg,h^b=h^60884 conjugacy classes — view the full character table.
| maximal subgroup of | #29650531, #29650533, #29650558, … |
| maximal normal subgroup of | #29650531, #29650533, #29650558, … |
| maximal quotient of | #29680543, #29684218, #29684220, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 15066);