Finite Group DatabasebetaFinite Group Databasebeta| order | 11936 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#20238620 |
| Sylow | C373 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
764 conjugacy classes — view the full character table.
| maximal subgroup of | #37560292, #37560298, #37560305, … |
| maximal normal subgroup of | #37560292, #37560298, #37560305, … |
| maximal quotient of | C2×#26045847, C4×#20238620, C2×#26045849, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11936, 232);