Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C173 ⋊ #354 |
70 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,173|a^2=d,b^2=f,c^2=f,b^a=bc,c^a=ce,e^a=ef,g^a=g^172,c^b=cf,d^b=def,d^c=df1217 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36351714, #36351715, #36351720, … |
| maximal normal subgroup of | #36351714, #36351715, #36351720, … |
| maximal quotient of | #36351497, #36351507, #36351563, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 344);