Finite Group DatabasebetaFinite Group Databasebeta| order | 11936 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#20238594 |
| Sylow | C373 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
2996 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37559178, #37559180, #37559181, … |
| maximal normal subgroup of | #37559178, #37559180, #37559181, … |
| maximal quotient of | C2×#26045703, C4×#20238594, C2×C22⋊#15688412, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11936, 151);