Finite Group Databasebeta

#53722769

order41748
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C2

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:

2^2,3,7,71,7|d^7=f^6,d^a=d^6f,e^a=e^70,f^a=f^6,c^b=c^2,d^b=d^6f,f^b=f^6

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(41748, 34);