Finite Group Databasebeta

C22×C3×C5×C823 #59528360

order49380
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C2

Aliases

abelianC22×C3×C5×C823
multiplicative(ℤ/57617)ˣ, (ℤ/74073)ˣ, (ℤ/74079)ˣ, (ℤ/98764)ˣ, (ℤ/115234)ˣ, (ℤ/148146)ˣ, (ℤ/148158)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

49380 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(49380, 13);