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 ⋊ #1838 |
180 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,c^b=cg,h^c=h^60872 conjugacy classes — view the full character table.
| maximal subgroup of | D61×#1838, C2×#21445958, #29680244, … |
| maximal normal subgroup of | D61×#1838, C2×#21445958, #29680244, … |
| maximal quotient of | #29573678, #29573682, #29573685, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 4649);