Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C61 ⋊ #1377 |
140 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,61|a^2=d,b^2=e,d^2=f,f^2=g,b^a=bc,c^a=cg,h^a=h^60,d^b=dg1244 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #29566762, #29566763, #29566774, … |
| maximal normal subgroup of | #29566762, #29566763, #29566774, … |
| maximal quotient of | #29566847, #29566857, #29566864, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 2594);