Finite Group DatabasebetaFinite Group Databasebeta| order | 45132 |
| nilpotency class | 1 |
| automorphism | ? |
| homology | Abelianization (H1) = ? · Schur multiplier (H2) = C2 |
| abelian | C22×C3×C3761 |
| multiplicative | (ℤ/52661)ˣ, (ℤ/67701)ˣ, (ℤ/67707)ˣ, (ℤ/90268)ˣ, (ℤ/105322)ˣ, (ℤ/135402)ˣ, (ℤ/135414)ˣ |
| subgroup | G/H | |
|---|---|---|
| center | ? | |
| commutator | ? | |
| Frattini | ? | |
| LCS | ? | |
| UCS | ? | |
Subgroup lattice not available for this group.
45132 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(45132, 5);