Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C22×C4⋊#10621924 |
| unambiguous semidirect product | D173⋊(C2×C4⋊C4) |
| Fitting | C22×C4×C173 ⋊ C4 |
| Sylow | C173 ⋊ C22×C4⋊C4 |
418 conjugacy classes of subgroups.
728 conjugacy classes — view the full character table.
| maximal subgroup of | #36368740, #36368741, #36368743, … |
| maximal normal subgroup of | #36368740, #36368741, #36368743, … |
| maximal quotient of | C22×(C2×#10621924)⋊C4, C2×C4×C4⋊#10621924, C2×#26012433, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 1611);