C₁₉×D₁₅×C₄₇ #40999542

order	26790
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₉×C₄₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₉×D₁₅×C₄₇
unambiguous semidirect product	C₃⋊(D₅×C₁₉×C₄₇)
unambiguous semidirect product	C₅⋊(D₃×C₁₉×C₄₇)

	subgroup	G/H
center, hypercenter	C₁₉×C₄₇	D₁₅
commutator, cosocle, hypocenter	C₃×C₅	C₂×C₁₉×C₄₇
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₁₉×C₄₇	C₂
LCS	G ▷ C₃×C₅
UCS	C₁ ◁ C₁₉×C₄₇

32 conjugacy classes of subgroups.

μ_t(G) = 13395

8037 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26790, 14);