Finite Group DatabasebetaFinite Group Databasebeta| order | 6592 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C4⋊C4×C103 ⋊ C2 |
| Sylow | C103 ⋊ #480 |
114 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,103|c^2=d,e^2=f,b^a=bd,c^a=ce,e^a=ef,g^a=g^102,e^c=ef1039 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #27194128, #27194129, #27194139, … |
| maximal normal subgroup of | #27194128, #27194129, #27194139, … |
| maximal quotient of | #27195230, #27195332, #27195461, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6592, 862);