Finite Group DatabasebetaFinite Group Databasebeta| order | 11936 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#20238589 |
| Sylow | C373 ⋊ C2×C4⋊C4 |
92 conjugacy classes of subgroups.
2996 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37559147, #37559273, C4×#20238589, … |
| maximal normal subgroup of | #37559147, #37559273, C4×#20238589, … |
| maximal quotient of | C2×#26045699, C4×#20238589, #37559280, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11936, 100);