Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Sylow | C61 ⋊ #1837 |
188 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,61|a^2=f,b^2=e,c^2=d,d^2=g,e^2=g,f^2=g,b^a=bd,c^a=ce,d^a=dg,e^a=eg,h^a=h^11,h^b=h^60,h^f=h^60524 conjugacy classes — view the full character table.
| maximal subgroup of | #30594454, #30594456, #30594465, … |
| maximal normal subgroup of | #30594454, #30594456, #30594465, … |
| maximal quotient of | #30599450, #30599452, #30599454, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 20435);