C₅×D₃×C₁₇×D₁₉ #34084359

order	19380
automorphism	?
homology	Abelianization (H₁) = C₂²×C₅×C₁₇ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₅×D₃×C₁₇×D₁₉
unambiguous semidirect product	(D₃×C₁₉)⋊(C₂×C₅×C₁₇)
unambiguous semidirect product	(C₃×D₁₉)⋊(C₂×C₅×C₁₇)
unambiguous semidirect product	D₅₇⋊(C₂×C₅×C₁₇)

	subgroup	G/H
center, hypercenter	C₅×C₁₇	D₃×D₁₉
commutator, cosocle, hypocenter	C₃×C₁₉	C₂²×C₅×C₁₇
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₁₇×C₁₉	C₂²
LCS	G ▷ C₃×C₁₉
UCS	C₁ ◁ C₅×C₁₇

80 conjugacy classes of subgroups.

μ_t(G) = 4845

2805 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19380, 71);