Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | #106×C173 ⋊ C2 |
| Sylow | C173 ⋊ #427 |
114 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,173|a^2=e,b^2=d,c^2=f,d^2=f,b^a=bd,d^a=df,g^c=g^1721232 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36355297, #36355334, #427×D173, … |
| maximal normal subgroup of | #36355297, #36355334, #427×D173, … |
| maximal quotient of | #36352308, #36352323, #36352340, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 584);