Finite Group DatabasebetaFinite Group Databasebeta| order | 6592 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C103 ⋊ #330 |
60 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,103|a^2=d,b^2=e,c^2=f,d^2=e,b^a=bc,c^a=ce,g^a=g^102,c^b=cf,d^b=def733 conjugacy classes — view the full character table.
| maximal subgroup of | #330×D103, C2×#20267533, #27193731, … |
| maximal normal subgroup of | #330×D103, C2×#20267533, #27193731, … |
| maximal quotient of | #27192967, #27193025, C2×#20267533 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6592, 291);