C₂×C₇×C₁₉×D₆₇ #49085477

order	35644
automorphism	?
homology	Abelianization (H₁) = C₂²×C₇×C₁₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×C₇×C₁₉×D₆₇
unambiguous semidirect product	C₆₇⋊(C₂²×C₇×C₁₉)
unambiguous semidirect product	(C₂×C₆₇)⋊(C₂×C₇×C₁₉)

	subgroup	G/H
center, hypercenter	C₂×C₇×C₁₉	D₆₇
commutator, cosocle, hypocenter	C₆₇	C₂²×C₇×C₁₉
Frattini	C₁	G
Fitting, socle	C₂×C₇×C₁₉×C₆₇	C₂
LCS	G ▷ C₆₇
UCS	C₁ ◁ C₂×C₇×C₁₉

40 conjugacy classes of subgroups.

μ_t(G) = 17822

9310 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(35644, 17);