Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C61×#427 ⋊ C2 |
| Sylow | C61 ⋊ #3076 |
388 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,61|a^2=e,b^2=e,d^2=g,f^2=g,b^a=be,c^a=cf,f^a=fg,h^b=h^60,f^c=fg,h^c=h^60878 conjugacy classes — view the full character table.
| maximal subgroup of | #29687841, #29687842, #29687852, … |
| maximal normal subgroup of | #29687841, #29687842, #29687852, … |
| maximal quotient of | #29679485, #29680955, #29680962, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 14296);