C₂×C₃⋊D₃×C₆₁₉ #36373134

order	22284
automorphism	?
homology	Abelianization (H₁) = C₂²×C₆₁₉ · Schur multiplier (H₂) = C₂×C₃

Aliases

direct product	C₂×C₃⋊D₃×C₆₁₉
unambiguous semidirect product	(C₂×C₃)⋊(D₃×C₆₁₉)

	subgroup	G/H
center, hypercenter	C₂×C₆₁₉	C₃⋊D₃
commutator, cosocle, hypocenter	C₃²	C₂²×C₆₁₉
Frattini	C₁	G
Fitting, socle	C₂×C₃²×C₆₁₉	C₂
LCS	G ▷ C₃²
UCS	C₁ ◁ C₂×C₆₁₉

60 conjugacy classes of subgroups.

μ_t(G) = 11142

7428 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22284, 45);