Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C61 ⋊ #3116 |
386 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,61|a^2=g,b^2=g,d^2=eg,f^2=g,b^a=be,c^a=cf,f^a=fg,d^c=dg,f^c=fg,h^d=h^60602 conjugacy classes — view the full character table.
| maximal subgroup of | D61×#3116, C2×#21455974, #30548220, … |
| maximal normal subgroup of | D61×#3116, C2×#21455974, #30548220, … |
| maximal quotient of | #29680089, #29683022, #29683030, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 14665);