C₃×C₇×C₁₇×D₄₇ #46776752

order	33558
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₇×C₁₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₃×C₇×C₁₇×D₄₇
unambiguous semidirect product	C₄₇⋊(C₂×C₃×C₇×C₁₇)

	subgroup	G/H
center, hypercenter	C₃×C₇×C₁₇	D₄₇
commutator, cosocle, hypocenter	C₄₇	C₂×C₃×C₇×C₁₇
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₇×C₄₇	C₂
LCS	G ▷ C₄₇
UCS	C₁ ◁ C₃×C₇×C₁₇

32 conjugacy classes of subgroups.

μ_t(G) = 16779

8925 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33558, 3);