D₃×C₁₇×D₉₅ #34084385

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

Aliases

direct product	D₃×C₁₇×D₉₅
unambiguous semidirect product	(C₅×D₃)⋊(C₁₇×D₁₉)
unambiguous semidirect product	(D₃×C₁₉)⋊(D₅×C₁₇)

	subgroup	G/H
center, hypercenter	C₁₇	D₃×D₉₅
commutator, cosocle, hypocenter	C₃×C₅×C₁₉	C₂²×C₁₇
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₁₇×C₁₉	C₂²
LCS	G ▷ C₃×C₅×C₁₉
UCS	C₁ ◁ C₁₇

80 conjugacy classes of subgroups.

μ_t(G) = 4845

2499 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19380, 97);