C₂×C₅×C₇×C₁₃×C₃⋊D₃ #30655786

order	16380
isoclinism	isoclinic class of C₃⋊D₃
automorphism	?
homology	Abelianization (H₁) = C₂²×C₅×C₇×C₁₃ · Schur multiplier (H₂) = C₂×C₃

Aliases

direct product	C₂×C₅×C₇×C₁₃×C₃⋊D₃
unambiguous semidirect product	(C₂×C₃)⋊(C₅×D₃×C₇×C₁₃)

	subgroup	G/H
center, hypercenter	C₂×C₅×C₇×C₁₃	C₃⋊D₃
commutator, cosocle, hypocenter	C₃²	C₂²×C₅×C₇×C₁₃
Frattini	C₁	G
Fitting, socle	C₂×C₃²×C₅×C₇×C₁₃	C₂
LCS	G ▷ C₃²
UCS	C₁ ◁ C₂×C₅×C₇×C₁₃

240 conjugacy classes of subgroups.

μ_t(G) = 8190

5460 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16380, 836);