Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C61 ⋊ #1355 |
88 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,61|a^2=d,c^2=f,d^2=e,e^2=g,b^a=bc,c^a=ce,f^a=fg,h^a=h^60,c^b=cf,d^b=defg,e^b=eg,d^c=dg500 conjugacy classes — view the full character table.
| maximal subgroup of | #29567852, #29567853, #29567855, … |
| maximal normal subgroup of | #29567852, #29567853, #29567855, … |
| maximal quotient of | #29566791, #29566829, #29567180, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 2543);