Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | #103×C173 ⋊ C2 |
| Sylow | C173 ⋊ #485 |
96 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,173|a^2=f,b^2=f,c^2=d,e^2=f,b^a=bd,c^a=ce,e^a=ef,g^b=g^172,e^c=ef1223 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #485×D173, C2×#26011830, #36363474, … |
| maximal normal subgroup of | #485×D173, C2×#26011830, #36363474, … |
| maximal quotient of | #36353656, #36353763, #36353872, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 888);