Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C61 ⋊ #1372 |
70 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,61|a^2=d,b^2=ceg,c^2=eg,d^2=f,e^2=g,b^a=bc,c^a=ce,e^a=eg,h^a=h^601964 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #29567469, #29567470, #29567472, … |
| maximal normal subgroup of | #29567469, #29567470, #29567472, … |
| maximal quotient of | #29566755, #29566883, #29567696, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 2584);