Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C23×C4 |
No aliases for this group.
| Fitting | C61×#451 ⋊ C2 |
| Sylow | C61 ⋊ #3223 |
364 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,61|a^2=g,b^2=e,c^2=g,f^2=g,b^a=be,c^a=cf,d^a=de,f^a=fg,c^b=ce,d^b=dg,h^b=h^60,f^c=fg596 conjugacy classes — view the full character table.
| maximal subgroup of | D61×#3223, C2×#21456898, #30551421, … |
| maximal normal subgroup of | D61×#3223, C2×#21456898, #30551421, … |
| maximal quotient of | #29689394, #29689803, #29690606, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 15589);