C₂×C₁₇×C₁₉×D₁₅ #34084405

order	19380
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₇×C₁₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×C₁₇×C₁₉×D₁₅
unambiguous semidirect product	(C₂×C₃)⋊(D₅×C₁₇×C₁₉)
unambiguous semidirect product	(C₂×C₅)⋊(D₃×C₁₇×C₁₉)

	subgroup	G/H
center, hypercenter	C₂×C₁₇×C₁₉	D₁₅
commutator, cosocle, hypocenter	C₃×C₅	C₂²×C₁₇×C₁₉
Frattini	C₁	G
Fitting, socle	C₂×C₃×C₅×C₁₇×C₁₉	C₂
LCS	G ▷ C₃×C₅
UCS	C₁ ◁ C₂×C₁₇×C₁₉

80 conjugacy classes of subgroups.

μ_t(G) = 9690

5814 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19380, 117);