C₃×C₁₉×D₂₃₅ #40999535

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

Aliases

direct product	C₃×C₁₉×D₂₃₅
unambiguous semidirect product	C₅⋊(C₃×C₁₉×D₄₇)
unambiguous semidirect product	C₄₇⋊(C₃×D₅×C₁₉)

	subgroup	G/H
center, hypercenter	C₃×C₁₉	D₂₃₅
commutator, cosocle, hypocenter	C₅×C₄₇	C₂×C₃×C₁₉
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₁₉×C₄₇	C₂
LCS	G ▷ C₅×C₄₇
UCS	C₁ ◁ C₃×C₁₉

32 conjugacy classes of subgroups.

μ_t(G) = 13395

6783 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26790, 7);