Finite Group Databasebeta

#69828753

order61184
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C214

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:

2^8,239|a^2=h,b^2=h,g^2=h,b^a=bg,g^a=gh,g^b=gh,i^b=i^238,f^c=fh,e^d=eh,i^f=i^238

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(61184, 1083440);