Finite Group DatabasebetaFinite Group Databasebeta| order | 43260 |
| nilpotency class | 1 |
| automorphism | ? |
| homology | Abelianization (H1) = ? · Schur multiplier (H2) = C2 |
| abelian | C22×C3×C5×C7×C103 |
| multiplicative | (ℤ/43949)ˣ, (ℤ/44333)ˣ, (ℤ/47597)ˣ, (ℤ/50477)ˣ, (ℤ/50519)ˣ, (ℤ/64899)ˣ, (ℤ/87898)ˣ, (ℤ/88666)ˣ, (ℤ/95194)ˣ, (ℤ/100954)ˣ, (ℤ/101038)ˣ, (ℤ/129798)ˣ |
| subgroup | G/H | |
|---|---|---|
| center | ? | |
| commutator | ? | |
| Frattini | ? | |
| LCS | ? | |
| UCS | ? | |
Subgroup lattice not available for this group.
43260 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(43260, 49);