Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C61×#541 ⋊ C2 |
| Sylow | C61 ⋊ #3120 |
372 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,61|a^2=g,b^2=g,d^2=e,f^2=g,b^a=be,c^a=cf,f^a=fg,d^b=dg,f^c=fg,h^c=h^60692 conjugacy classes — view the full character table.
| maximal subgroup of | D61×#3120, C2×#21456027, #30548375, … |
| maximal normal subgroup of | D61×#3120, C2×#21456027, #30548375, … |
| maximal quotient of | #29680117, #29683083, #29683113, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 14718);