Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C2×#106×C61 ⋊ C2 |
| Sylow | C61 ⋊ #3344 |
344 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,61|a^2=eg,c^2=e,f^2=g,b^a=be,c^a=cf,f^a=fg,c^b=cg,d^b=de,h^b=h^60,f^c=fg869 conjugacy classes — view the full character table.
| maximal subgroup of | D61×#3344, C2×#21458270, #30558668, … |
| maximal normal subgroup of | D61×#3344, C2×#21458270, #30558668, … |
| maximal quotient of | #29696297, #29696387, #29697691, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 16961);