C₂×C₃²×C₅×C₁₃×D₇ #30655800

order	16380
isoclinism	isoclinic class of D₇
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃²×C₅×C₁₃ · Schur multiplier (H₂) = C₂×C₃

Aliases

C₂×C₃²×C₅×C₁₃×D₇

	subgroup	G/H
center, hypercenter	C₂×C₃²×C₅×C₁₃	D₇
commutator, cosocle, hypocenter	C₇	C₂²×C₃²×C₅×C₁₃
Frattini	C₁	G
Fitting, socle	C₂×C₃²×C₅×C₇×C₁₃	C₂
LCS	G ▷ C₇
UCS	C₁ ◁ C₂×C₃²×C₅×C₁₃

240 conjugacy classes of subgroups.

μ_t(G) = 8190

5850 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16380, 850);