Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C173 ⋊ #458 |
160 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,173|a^2=f,b^a=bd,c^a=ce,g^a=g^172,e^b=ef,d^c=df1478 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36355551, #36355552, #36355557, … |
| maximal normal subgroup of | #36355551, #36355552, #36355557, … |
| maximal quotient of | #36352549, #36352554, #36352560, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 739);