C₂×D₅×C₁₉×C₇₁ #41008706

order	26980
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₉×C₇₁ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×D₅×C₁₉×C₇₁
unambiguous semidirect product	C₅⋊(C₂²×C₁₉×C₇₁)
unambiguous semidirect product	(C₂×C₅)⋊(C₂×C₁₉×C₇₁)

	subgroup	G/H
center, hypercenter	C₂×C₁₉×C₇₁	D₅
commutator, cosocle, hypocenter	C₅	C₂²×C₁₉×C₇₁
Frattini	C₁	G
Fitting, socle	C₂×C₅×C₁₉×C₇₁	C₂
LCS	G ▷ C₅
UCS	C₁ ◁ C₂×C₁₉×C₇₁

40 conjugacy classes of subgroups.

μ_t(G) = 13490

10792 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26980, 33);