Finite Group DatabasebetaFinite Group Databasebeta| order | 11936 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×Dic746 |
| Sylow | C373 ⋊ C4×Q8 |
70 conjugacy classes of subgroups.
2996 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37559152, #37559154, C4×#20238598, … |
| maximal normal subgroup of | #37559152, #37559154, C4×#20238598, … |
| maximal quotient of | C4×C4⋊Dic373, C4×#20238589, #37559305, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11936, 112);