Finite Group Databasebeta

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C₂×C₄₃×#1451 #24937334

order	11008
nilpotency class	2
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄²×C₄₃ · Schur multiplier (H₂) = C₂⁵

Aliases

C₂×C₄₃×#1451

Subgroups

	subgroup	G/H
center	C₂×C₄²×C₄₃	C₂³
commutator	C₂²	C₂²×C₄²×C₄₃
Frattini, cosocle	C₄²	C₂⁴×C₄₃
socle	C₂³×C₄₃	C₂×C₄²
prime radical	C₂⁴×C₄₃	C₄²
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂×C₄²×C₄₃ ◁ G

966 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

4816 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 10305);