Finite Group Databasebeta

#56088645

order45612
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C2×C3

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:

3^2,2^2,7,181|e^a=e^2,f^a=f^48,c^b=cd,d^b=c,e^b=e^2

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(45612, 216);