C₂×C₁₉×ΓL(1,𝔽₈)×C₃₇ #44443273

order	29526
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₁₉×C₃₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₂×C₁₉×ΓL(1,𝔽₈)×C₃₇
unambiguous semidirect product	(C₂×C₇)⋊(C₃×C₁₉×C₃₇)

	subgroup	G/H
center, hypercenter	C₂×C₁₉×C₃₇	ΓL(1,𝔽₈)
commutator, cosocle, hypocenter	C₇	C₂×C₃×C₁₉×C₃₇
Frattini	C₁	G
Fitting, socle	C₂×C₇×C₁₉×C₃₇	C₃
LCS	G ▷ C₇
UCS	C₁ ◁ C₂×C₁₉×C₃₇

32 conjugacy classes of subgroups.

μ_t(G) = 9842

7030 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29526, 6);