C₃×C₇×D₁₇×C₄₇ #46776753

order	33558
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₇×C₄₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₃×C₇×D₁₇×C₄₇
unambiguous semidirect product	C₁₇⋊(C₂×C₃×C₇×C₄₇)

	subgroup	G/H
center, hypercenter	C₃×C₇×C₄₇	D₁₇
commutator, cosocle, hypocenter	C₁₇	C₂×C₃×C₇×C₄₇
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₇×C₄₇	C₂
LCS	G ▷ C₁₇
UCS	C₁ ◁ C₃×C₇×C₄₇

32 conjugacy classes of subgroups.

μ_t(G) = 16779

9870 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33558, 4);