Finite Group Databasebeta

#54843483

order42924
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:

2,3,2,7,73,7|a^2=c,d^7=f^6,d^a=d^6f,e^a=e^27,f^a=f^6,d^b=d^2f^3,e^b=e^8,f^b=f^2,e^c=e^72

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(42924, 27);