Finite Group DatabasebetaFinite Group Databasebeta| order | 40740 |
| nilpotency class | 1 |
| automorphism | ? |
| homology | Abelianization (H1) = ? · Schur multiplier (H2) = C2 |
| abelian | C22×C3×C5×C7×C97 |
| multiplicative | (ℤ/41753)ˣ, (ℤ/47537)ˣ, (ℤ/47579)ˣ, (ℤ/61119)ˣ, (ℤ/83506)ˣ, (ℤ/95074)ˣ, (ℤ/95158)ˣ, (ℤ/122238)ˣ |
| subgroup | G/H | |
|---|---|---|
| center | ? | |
| commutator | ? | |
| Frattini | ? | |
| LCS | ? | |
| UCS | ? | |
Subgroup lattice not available for this group.
40740 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(40740, 49);