Finite Group DatabasebetaFinite Group Databasebeta| order | 11936 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#20238599 |
| Fitting | C2×C8×C373 ⋊ C2 |
| Sylow | C373 ⋊ C2×SD16 |
68 conjugacy classes of subgroups.
2990 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37559509, C4×#20238599, #37559521, … |
| maximal normal subgroup of | #37559509, C4×#20238599, #37559521, … |
| maximal quotient of | C2×#26045714, C2×#26045717, C2×#26045724, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11936, 161);