Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| unambiguous semidirect product | D173⋊M32 |
| Sylow | C173 ⋊ C2×M32 |
90 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,173|a^2=d,d^2=e,e^2=f,b^a=bf,g^a=g^80,g^c=g^172,g^d=g^172728 conjugacy classes — view the full character table.
| maximal subgroup of | #36368606, #36368609, #36368612, … |
| maximal normal subgroup of | #36368606, #36368609, #36368612, … |
| maximal quotient of | #36369764, #36369769, #36369770, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 1605);