Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C61 ⋊ #1558 |
228 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,61|a^2=e,b^2=g,d^2=g,e^2=fg,b^a=bd,c^a=cg,d^a=df,h^a=h^60,d^b=dg,e^b=efg866 conjugacy classes — view the full character table.
| maximal subgroup of | #29567745, #29567746, #29572405, … |
| maximal normal subgroup of | #29567745, #29567746, #29572405, … |
| maximal quotient of | #29568102, #29568141, #29568248, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 3236);