Finite Group Databasebeta

#70968912

order61696
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C25

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:

2^8,241|a^2=e,e^2=f,f^2=g,g^2=h,d^a=dh,i^a=i^111,c^b=ch,i^d=i^240,i^e=i^30,i^f=i^177,i^g=i^240

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(61696, 1118908);