C₂×#72221866 #72244201

order	5832
automorphism	?
homology	Abelianization (H₁) = C₂³×C₃ · Schur multiplier (H₂) = C₂³

Aliases

Fitting	C₂×C₃²×#737 ⋊ C₂²
Sylow	C₃²×#737 ⋊ C₂³

	subgroup	G/H
center, hypercenter	C₂×C₉	C₃⋊#1113
commutator, cosocle, hypocenter	C₃²×H(3,𝔽₃)	C₂³×C₃
Frattini	C₃	C₂×C₃×C₃⋊#1113
Fitting	C₂×C₃²×#737	C₂²
socle	C₂×C₃³	C₂×C₃×C₃⋊D₃
prime radical	C₂×#11758092	C₃
LCS	G ▷ C₃²×H(3,𝔽₃)
UCS	C₁ ◁ C₂×C₉

3453 conjugacy classes of subgroups.

μ_t(G) = 216

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

maximal subgroup of	C₂×#72221872
maximal quotient of	C₂×#72221868

Past the SmallGroups library coverage — no SmallGroups id.