C₃×C₁₉×C₁₇⋊D₁₇ #45681983

order	32946
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₁₉ · Schur multiplier (H₂) = C₁₇

Aliases

direct product	C₃×C₁₉×C₁₇⋊D₁₇
unambiguous semidirect product	C₁₇⋊(C₃×C₁₉×D₁₇)

	subgroup	G/H
center, hypercenter	C₃×C₁₉	C₁₇⋊D₁₇
commutator, cosocle, hypocenter	C₁₇²	C₂×C₃×C₁₉
Frattini	C₁	G
Fitting, socle	C₃×C₁₇²×C₁₉	C₂
LCS	G ▷ C₁₇²
UCS	C₁ ◁ C₃×C₁₉

160 conjugacy classes of subgroups.

μ_t(G) = 16473

8322 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32946, 33);