Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C2×AGL(1,ℤ/8)×C61 ⋊ C2 |
| Sylow | C61 ⋊ #3275 |
498 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,61|a^2=g,b^2=g,e^2=g,b^a=be,c^a=cf,e^a=eg,h^a=h^60,c^b=cg,d^b=de,e^b=eg,e^d=eg689 conjugacy classes — view the full character table.
| maximal subgroup of | D61×#3275, C2×#21457450, #30555188, … |
| maximal normal subgroup of | D61×#3275, C2×#21457450, #30555188, … |
| maximal quotient of | #29671311, #29671402, #29671411, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 16141);