Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C173 ⋊ #341 |
90 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,173|a^2=d,b^2=e,c^2=f,d^2=f,e^2=f,b^a=bc,c^a=cf,e^a=ef,g^a=g^80,g^d=g^172716 conjugacy classes — view the full character table.
| maximal subgroup of | #36368553, #36368554, #36368555, … |
| maximal normal subgroup of | #36368553, #36368554, #36368555, … |
| maximal quotient of | #36368393, #36368395, #36368420, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 1425);