D₅×C₁₉×C₁₇₉ #46801019

order	34010
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₉×C₁₇₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₅×C₁₉×C₁₇₉
unambiguous semidirect product	C₅⋊(C₂×C₁₉×C₁₇₉)

	subgroup	G/H
center, hypercenter	C₁₉×C₁₇₉	D₅
commutator, cosocle, hypocenter	C₅	C₂×C₁₉×C₁₇₉
Frattini	C₁	G
Fitting, socle	C₅×C₁₉×C₁₇₉	C₂
LCS	G ▷ C₅
UCS	C₁ ◁ C₁₉×C₁₇₉

16 conjugacy classes of subgroups.

μ_t(G) = 17005

13604 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34010, 5);