Finite Group DatabasebetaFinite Group Databasebeta| order | 11936 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#20238619 |
| Sylow | C373 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
764 conjugacy classes — view the full character table.
| maximal subgroup of | #37560302, #37560303, C4×#20238619, … |
| maximal normal subgroup of | #37560302, #37560303, C4×#20238619, … |
| maximal quotient of | C2×#26045847, C4×#20238619, C2×C22⋊#15688419, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11936, 230);