Finite Group DatabasebetaFinite Group Databasebeta| order | 6592 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C103 ⋊ #354 |
70 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,103|a^2=d,b^2=f,c^2=f,b^a=bc,c^a=ce,e^a=ef,c^b=cf,d^b=def,g^b=g^102,d^c=df574 conjugacy classes — view the full character table.
| maximal subgroup of | #354×D103, C2×#20267585, #27196806, … |
| maximal normal subgroup of | #354×D103, C2×#20267585, #27196806, … |
| maximal quotient of | #27193077, #27193087, #27193143, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6592, 343);