Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | C2×#19149753 |
| Sylow | C173 ⋊ C2×M32 |
90 conjugacy classes of subgroups.
728 conjugacy classes — view the full character table.
| maximal subgroup of | #36368604, #36368605, #36368607, … |
| maximal normal subgroup of | #36368604, #36368605, #36368607, … |
| maximal quotient of | C2×#26012379, C4×#19149753, C2×C22⋊#14583829, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 1604);