Finite Group DatabasebetaFinite Group Databasebeta| order | 6592 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C103 ⋊ #343 |
98 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,103|a^2=d,b^2=e,d^2=f,b^a=bc,c^a=cf,d^b=df,g^b=g^1021042 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #343×D103, C2×#20267559, #27194881, … |
| maximal normal subgroup of | #343×D103, C2×#20267559, #27194881, … |
| maximal quotient of | #27192986, #27192993, #27192995, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6592, 317);