Finite Group Databasebeta

C2×C4×C8×C673 #54845752

order43072
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C22×C4

Aliases

abelianC2×C4×C8×C673
multiplicative(ℤ/86176)ˣ

Subgroups

subgroupG/H
center?
commutator?
Frattini?
LCS?
UCS?

Subgroup lattice not available for this group.

Conjugacy classes & character table

43072 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(43072, 83);