Finite Group Databasebeta

#54845977

order43072
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C22

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:

2^6,673|a^2=d,b^2=e,c^2=f,b^a=bc,c^a=cf,e^a=ef,g^b=g^672

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(43072, 308);