Finite Group Databasebeta

#53733564

order42350
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

No aliases for this group.

Subgroups

subgroupG/H
center?
commutator?
Frattini?
hypercenter?
hypocenter?
LCS?
UCS?

Subgroup lattice not available for this group.

Presentation

Polycyclic presentation:

2,5^2,7,11^2|c^a=c^4,d^a=d^6,e^a=f,f^a=e,e^b=e^9,f^b=f^9,e^c=e^4,f^c=f^3

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(42350, 79);