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#95×C₃₁₃ #23756353

order	10016
nilpotency class	2
isoclinism	isoclinic class of D₄
automorphism	?
homology	Abelianization (H₁) = C₄²×C₃₁₃ · Schur multiplier (H₂) = C₂³

Aliases

#95×C₃₁₃

Subgroups

	subgroup	G/H
center, socle, prime radical	C₂³×C₃₁₃	C₂²
commutator	C₂	C₄²×C₃₁₃
Frattini, cosocle	C₂³	C₂²×C₃₁₃
LCS	G ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₃₁₃ ◁ G

76 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

6260 conjugacy classes. The character table is too large to display.

Relationships

maximal subgroup of	#327×C₃₁₃, #328×C₃₁₃, C₂×#95×C₃₁₃, …
maximal normal subgroup of	#327×C₃₁₃, #328×C₃₁₃, C₂×#95×C₃₁₃, …
maximal quotient of	#336×C₃₁₃, H(3,ℤ/4)×C₃₁₃, #338×C₃₁₃, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(10016, 2);