Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C4×SD16×C61 ⋊ C2 |
| Sylow | C61 ⋊ #3394 |
372 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,61|a^2=g,b^2=eg,c^2=e,d^2=e,f^2=g,b^a=be,c^a=cf,f^a=fg,h^a=h^60,d^b=de,f^c=fg,h^d=h^60875 conjugacy classes — view the full character table.
| maximal subgroup of | D61×#3394, C2×#21458816, #30560954, … |
| maximal normal subgroup of | D61×#3394, C2×#21458816, #30560954, … |
| maximal quotient of | #29696810, #29696828, #29698847, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 17507);