C₅×C₁₉×D₁₇₃ #45659692

order	32870
automorphism	?
homology	Abelianization (H₁) = C₂×C₅×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₅×C₁₉×D₁₇₃
unambiguous semidirect product	C₁₇₃⋊(C₂×C₅×C₁₉)

	subgroup	G/H
center, hypercenter	C₅×C₁₉	D₁₇₃
commutator, cosocle, hypocenter	C₁₇₃	C₂×C₅×C₁₉
Frattini	C₁	G
Fitting, socle	C₅×C₁₉×C₁₇₃	C₂
LCS	G ▷ C₁₇₃
UCS	C₁ ◁ C₅×C₁₉

16 conjugacy classes of subgroups.

μ_t(G) = 16435

8360 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32870, 2);