Finite Group DatabasebetaFinite Group Databasebeta| order | 6592 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C103 ⋊ #335 |
54 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,103|a^2=d,b^2=ce,c^2=e,d^2=f,b^a=bc,c^a=ce,g^b=g^1021048 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #335×D103, C2×#20267543, #27193889, … |
| maximal normal subgroup of | #335×D103, C2×#20267543, #27193889, … |
| maximal quotient of | #27192978, #27193213, #27193215, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6592, 301);