Finite Group DatabasebetaFinite Group Databasebeta| order | 53744 |
| nilpotency class | 1 |
| automorphism | ? |
| homology | Abelianization (H1) = ? · Schur multiplier (H2) = C23 |
| abelian | C22×C4×C3359 |
| multiplicative | (ℤ/100785)ˣ, (ℤ/107504)ˣ, (ℤ/134380)ˣ, (ℤ/201570)ˣ |
| subgroup | G/H | |
|---|---|---|
| center | ? | |
| commutator | ? | |
| Frattini | ? | |
| LCS | ? | |
| UCS | ? | |
Subgroup lattice not available for this group.
53744 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(53744, 10);