C₂×C₃×C₁₉×D₁₆₇ #49185170

order	38076
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₁₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×C₃×C₁₉×D₁₆₇
unambiguous semidirect product	C₁₆₇⋊(C₂²×C₃×C₁₉)
unambiguous semidirect product	(C₂×C₁₆₇)⋊(C₂×C₃×C₁₉)

	subgroup	G/H
center, hypercenter	C₂×C₃×C₁₉	D₁₆₇
commutator, cosocle, hypocenter	C₁₆₇	C₂²×C₃×C₁₉
Frattini	C₁	G
Fitting, socle	C₂×C₃×C₁₉×C₁₆₇	C₂
LCS	G ▷ C₁₆₇
UCS	C₁ ◁ C₂×C₃×C₁₉

40 conjugacy classes of subgroups.

μ_t(G) = 19038

9690 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(38076, 28);