Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C16 · Schur multiplier (H2) = C23 |
| direct product | C2×D173⋊C16 |
| unambiguous semidirect product | D173⋊(C2×C16) |
| derived, Sylow | C173 ⋊ C22×C16 |
98 conjugacy classes of subgroups.
752 conjugacy classes — view the full character table.
| maximal subgroup of | (C2×#10621924)⋊C16, #36368619, #36368620, … |
| maximal normal subgroup of | (C2×#10621924)⋊C16, #36368619, #36368620, … |
| maximal quotient of | C4×D173⋊C16, C2×#26012377, D173⋊(C22⋊C16), … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 1603);