Finite Group DatabasebetaFinite Group Databasebeta| order | 55578 |
| nilpotency class | 1 |
| automorphism | ? |
| homology | Abelianization (H1) = ? · Schur multiplier (H2) = C1 |
| cyclic | C55578 |
| abelian | C2×C3×C59×C157 |
| multiplicative | (ℤ/55579)ˣ, (ℤ/111158)ˣ |
| subgroup | G/H | |
|---|---|---|
| center | ? | |
| commutator | ? | |
| Frattini | ? | |
| LCS | ? | |
| UCS | ? | |
Subgroup lattice not available for this group.
55578 conjugacy classes. The character table is too large to display.
| automorphism group of | C55579 |
| outer automorphism group of | C55579 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(55578, 1);