C₂×C₅×C₇×C₁₇×C₃⋊D₃ #36339586

order	21420
automorphism	?
homology	Abelianization (H₁) = C₂²×C₅×C₇×C₁₇ · Schur multiplier (H₂) = C₂×C₃

Aliases

direct product	C₂×C₅×C₇×C₁₇×C₃⋊D₃
unambiguous semidirect product	(C₂×C₃)⋊(C₅×D₃×C₇×C₁₇)

	subgroup	G/H
center, hypercenter	C₂×C₅×C₇×C₁₇	C₃⋊D₃
commutator, cosocle, hypocenter	C₃²	C₂²×C₅×C₇×C₁₇
Frattini	C₁	G
Fitting, socle	C₂×C₃²×C₅×C₇×C₁₇	C₂
LCS	G ▷ C₃²
UCS	C₁ ◁ C₂×C₅×C₇×C₁₇

240 conjugacy classes of subgroups.

μ_t(G) = 10710

7140 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(21420, 418);