C₇⋊C₉×#63118 #30655068

order	16380
automorphism	?
homology	Abelianization (H₁) = C₄×C₉ · Schur multiplier (H₂) = C₁

Aliases

	subgroup	G/H
center, Frattini, hypercenter	C₃	ΓL(1,𝔽₈)×#63118
commutator, hypocenter	C₅×C₇×C₁₃	C₄×C₉
Fitting, socle	C₃×C₅×C₇×C₁₃	C₃×C₄
prime radical, cosocle	C₃×C₅×C₇×D₁₃	C₂×C₃
LCS	G ▷ C₅×C₇×C₁₃
UCS	C₁ ◁ C₃

72 conjugacy classes of subgroups.

μ_t(G) = 4095

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16380, 118);