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#95×C₂₆₃ #22554326

order	8416
nilpotency class	2
isoclinism	isoclinic class of D₄
automorphism	?
homology	Abelianization (H₁) = C₄²×C₂₆₃ · Schur multiplier (H₂) = C₂³

Aliases

#95×C₂₆₃

Subgroups

	subgroup	G/H
center, socle, prime radical	C₂³×C₂₆₃	C₂²
commutator	C₂	C₄²×C₂₆₃
Frattini, cosocle	C₂³	C₂²×C₂₆₃
LCS	G ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₂₆₃ ◁ G

76 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

5260 conjugacy classes. The character table is too large to display.

Relationships

Fitting subgroup of	#30681671, #30681674, #95×D₂₆₃, …
maximal subgroup of	#327×C₂₆₃, #328×C₂₆₃, C₂×#95×C₂₆₃, …
maximal normal subgroup of	#327×C₂₆₃, #328×C₂₆₃, C₂×#95×C₂₆₃, …
maximal quotient of	#336×C₂₆₃, H(3,ℤ/4)×C₂₆₃, #338×C₂₆₃, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(8416, 2);