Finite Group DatabasebetaFinite Group Databasebeta| order | 42300 |
| automorphism | ? |
| homology | Abelianization (H1) = ? · Schur multiplier (H2) = C5 |
No aliases for this group.
| subgroup | G/H | |
|---|---|---|
| center | ? | |
| commutator | ? | |
| Frattini | ? | |
| hypercenter | ? | |
| hypocenter | ? | |
| LCS | ? | |
| UCS | ? | |
Subgroup lattice not available for this group.
Polycyclic presentation:
2^2,3,47,5^2,3|a^2=b,c^3=g^2,c^a=c^2g,d^a=d^46,e^a=e^3,f^a=ef^2,g^a=g^2,e^b=e^4,f^b=f^4,e^c=ef,f^c=e^2f^3Character table not available for this group.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(42300, 115);