D₇×C₁₉×C₁₃₉ #49149671

order	36974
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₉×C₁₃₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₇×C₁₉×C₁₃₉
unambiguous semidirect product	C₇⋊(C₂×C₁₉×C₁₃₉)

	subgroup	G/H
center, hypercenter	C₁₉×C₁₃₉	D₇
commutator, cosocle, hypocenter	C₇	C₂×C₁₉×C₁₃₉
Frattini	C₁	G
Fitting, socle	C₇×C₁₉×C₁₃₉	C₂
LCS	G ▷ C₇
UCS	C₁ ◁ C₁₉×C₁₃₉

16 conjugacy classes of subgroups.

μ_t(G) = 18487

13205 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(36974, 5);