C₇×C₁₉×D₁₃₉ #49149668

order	36974
automorphism	?
homology	Abelianization (H₁) = C₂×C₇×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₇×C₁₉×D₁₃₉
unambiguous semidirect product	C₁₃₉⋊(C₂×C₇×C₁₉)

	subgroup	G/H
center, hypercenter	C₇×C₁₉	D₁₃₉
commutator, cosocle, hypocenter	C₁₃₉	C₂×C₇×C₁₉
Frattini	C₁	G
Fitting, socle	C₇×C₁₉×C₁₃₉	C₂
LCS	G ▷ C₁₃₉
UCS	C₁ ◁ C₇×C₁₉

16 conjugacy classes of subgroups.

μ_t(G) = 18487

9443 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(36974, 2);