Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C23×C4 |
No aliases for this group.
| Fitting | C61×#452 ⋊ C2 |
| Sylow | C61 ⋊ #3212 |
400 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,61|b^2=eg,d^2=g,f^2=g,b^a=be,c^a=cf,d^a=de,f^a=fg,h^a=h^60,c^b=ce,h^b=h^60,f^c=fg602 conjugacy classes — view the full character table.
| maximal subgroup of | D61×#3212, C2×#21456798, #30551244, … |
| maximal normal subgroup of | D61×#3212, C2×#21456798, #30551244, … |
| maximal quotient of | #29689342, #29689710, #29690555, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 15489);