Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C61×#452 ⋊ C2 |
| Sylow | C61 ⋊ #3313 |
380 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,61|a^2=e,b^2=g,c^2=g,d^2=g,f^2=g,b^a=be,c^a=cf,f^a=fg,h^a=h^60,c^b=cg,d^b=de,h^b=h^60,f^c=fg599 conjugacy classes — view the full character table.
| maximal subgroup of | D61×#3313, C2×#21457889, #30556793, … |
| maximal normal subgroup of | D61×#3313, C2×#21457889, #30556793, … |
| maximal quotient of | #29695602, #29696344, #29697145, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 16580);