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#95×C₁₉₇ #20263182

order	6304
nilpotency class	2
isoclinism	isoclinic class of D₄
automorphism	?
homology	Abelianization (H₁) = C₄²×C₁₉₇ · Schur multiplier (H₂) = C₂³

Aliases

#95×C₁₉₇

Subgroups

	subgroup	G/H
center, socle, prime radical	C₂³×C₁₉₇	C₂²
commutator	C₂	C₄²×C₁₉₇
Frattini, cosocle	C₂³	C₂²×C₁₉₇
LCS	G ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₉₇ ◁ G

76 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

3940 conjugacy classes. The character table is too large to display.

Relationships

maximal subgroup of	#327×C₁₉₇, #328×C₁₉₇, C₂×#95×C₁₉₇, …
maximal normal subgroup of	#327×C₁₉₇, #328×C₁₉₇, C₂×#95×C₁₉₇, …
maximal quotient of	#336×C₁₉₇, H(3,ℤ/4)×C₁₉₇, #338×C₁₉₇, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(6304, 2);