C₂×C₇×C₁₉×C₃₇⋊C₃ #44443269

order	29526
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₇×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₂×C₇×C₁₉×C₃₇⋊C₃
unambiguous semidirect product	(C₂×C₃₇)⋊(C₃×C₇×C₁₉)

	subgroup	G/H
center, hypercenter	C₂×C₇×C₁₉	C₃₇⋊C₃
commutator, cosocle, hypocenter	C₃₇	C₂×C₃×C₇×C₁₉
Frattini	C₁	G
Fitting, socle	C₂×C₇×C₁₉×C₃₇	C₃
LCS	G ▷ C₃₇
UCS	C₁ ◁ C₂×C₇×C₁₉

32 conjugacy classes of subgroups.

μ_t(G) = 9842

3990 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29526, 2);