C₂×C₅×C₁₉×D₇₁ #41008703

order	26980
automorphism	?
homology	Abelianization (H₁) = C₂²×C₅×C₁₉ · Schur multiplier (H₂) = C₂

Aliases

C₂×C₅×C₁₉×D₇₁

	subgroup	G/H
center, hypercenter	C₂×C₅×C₁₉	D₇₁
commutator, cosocle, hypocenter	C₇₁	C₂²×C₅×C₁₉
Frattini	C₁	G
Fitting, socle	C₂×C₅×C₁₉×C₇₁	C₂
LCS	G ▷ C₇₁
UCS	C₁ ◁ C₂×C₅×C₁₉

40 conjugacy classes of subgroups.

μ_t(G) = 13490

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26980, 30);