C₃×C₅×C₁₉×D₄₇ #40999531

order	26790
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₅×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₃×C₅×C₁₉×D₄₇
unambiguous semidirect product	C₄₇⋊(C₂×C₃×C₅×C₁₉)

	subgroup	G/H
center, hypercenter	C₃×C₅×C₁₉	D₄₇
commutator, cosocle, hypocenter	C₄₇	C₂×C₃×C₅×C₁₉
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₁₉×C₄₇	C₂
LCS	G ▷ C₄₇
UCS	C₁ ◁ C₃×C₅×C₁₉

32 conjugacy classes of subgroups.

μ_t(G) = 13395

7125 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26790, 3);