Finite Group DatabasebetaFinite Group Databasebeta| order | 11532 |
| isoclinism | isoclinic class of C31⋊C3 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C31 · Schur multiplier (H2) = C1 |
| direct product | C4×C31×C31⋊C3 |
| unambiguous semidirect product | (C4×C31)⋊(C3×C31) |
| Fitting, Hall | C4×C312 ⋊ C3 |
| derived | C31 ⋊ C3×C4×C31 |
| Sylow | C312 ⋊ C3×C4 |
54 conjugacy classes of subgroups.
1612 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×C31⋊C32, Dic3×C31×C31⋊C3, C3×C4×C31×C31⋊C3 |
| maximal normal subgroup of | C4×C31⋊C32, C3×C4×C31×C31⋊C3 |
| maximal quotient of | C4×C31×C31⋊C9, Dic3×C31×C31⋊C3, C3×C4×C31×C31⋊C3 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11532, 25);