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C₂×C₂₉×#2183 #20328373

order	7424
nilpotency class	2
isoclinism	isoclinic class of #120
automorphism	?
homology	Abelianization (H₁) = C₂³×C₈×C₂₉ · Schur multiplier (H₂) = C₂⁴

Aliases

C₂×C₂₉×#2183

Subgroups

	subgroup	G/H
center	C₂²×C₈×C₂₉	C₂³
commutator	C₂²	C₂³×C₈×C₂₉
Frattini, cosocle	C₂×C₈	C₂⁴×C₂₉
socle, prime radical	C₂³×C₂₉	C₂²×C₈
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₈×C₂₉ ◁ G

542 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

3248 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(7424, 26461);