Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C61×#533 ⋊ C2 |
| Sylow | C61 ⋊ #3076 |
388 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,61|a^2=e,b^2=e,d^2=g,f^2=g,b^a=be,c^a=cf,f^a=fg,f^c=fg,h^c=h^60878 conjugacy classes — view the full character table.
| maximal subgroup of | #29574883, #29574889, #29574890, … |
| maximal normal subgroup of | #29574883, #29574889, #29574890, … |
| maximal quotient of | #29679481, #29680959, #29682170, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 14292);