Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| unambiguous semidirect product | D173⋊(C4⋊C8) |
| Sylow | C173 ⋊ C2×C4⋊C8 |
138 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,173|a^2=e,b^2=d,e^2=f,b^a=bd,g^a=g^80,g^c=g^172,g^e=g^172728 conjugacy classes — view the full character table.
| maximal subgroup of | #36368392, #36368398, #36368427, … |
| maximal normal subgroup of | #36368392, #36368398, #36368427, … |
| maximal quotient of | D173⋊#334, D173⋊#335, #36369111, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 1550);