Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C16 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C61 ⋊ #1400 |
74 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,61|a^2=d,d^2=e,e^2=f,f^2=g,b^a=bc,c^a=cg,h^a=h^11,d^b=dg,h^b=h^60,h^d=h^60524 conjugacy classes — view the full character table.
| maximal subgroup of | #30594992, #30594993, #30594994, … |
| maximal normal subgroup of | #30594992, #30594993, #30594994, … |
| maximal quotient of | #30594797, #30594857, #30594895, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 19626);