C₂×C₁₉×D₃₅₃ #41001352

order	26828
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×C₁₉×D₃₅₃
unambiguous semidirect product	C₃₅₃⋊(C₂²×C₁₉)
unambiguous semidirect product	(C₂×C₃₅₃)⋊(C₂×C₁₉)

	subgroup	G/H
center, hypercenter	C₂×C₁₉	D₃₅₃
commutator, cosocle, hypocenter	C₃₅₃	C₂²×C₁₉
Frattini	C₁	G
Fitting, socle	C₂×C₁₉×C₃₅₃	C₂
LCS	G ▷ C₃₅₃
UCS	C₁ ◁ C₂×C₁₉

20 conjugacy classes of subgroups.

μ_t(G) = 13414

6764 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26828, 9);