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#97×C₃₇₃ #26045650

order	11936
nilpotency class	2
isoclinism	isoclinic class of D₄
automorphism	?
homology	Abelianization (H₁) = C₄²×C₃₇₃ · Schur multiplier (H₂) = C₂

Aliases

#97×C₃₇₃

Subgroups

	subgroup	G/H
center	C₂×C₄×C₃₇₃	C₂²
commutator	C₂	C₄²×C₃₇₃
Frattini, cosocle	C₂×C₄	C₂²×C₃₇₃
socle, prime radical	C₂²×C₃₇₃	C₂×C₄
LCS	G ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₃₇₃ ◁ G

40 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

7460 conjugacy classes. The character table is too large to display.

Relationships

Fitting subgroup of	#37559161, #37559163, #37559200, …
maximal subgroup of	#329×C₃₇₃, #330×C₃₇₃, #347×C₃₇₃, …
maximal normal subgroup of	#329×C₃₇₃, #330×C₃₇₃, #347×C₃₇₃, …
maximal quotient of	#322×C₃₇₃, #336×C₃₇₃, #347×C₃₇₃, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11936, 4);