C₂×C₁₉×C₅₃⋊C₁₃ #39910500

order	26182
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₃×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₂×C₁₉×C₅₃⋊C₁₃
unambiguous semidirect product	(C₂×C₅₃)⋊(C₁₃×C₁₉)
unambiguous semidirect product	(C₂×C₁₉×C₅₃)⋊C₁₃

	subgroup	G/H
center, hypercenter	C₂×C₁₉	C₅₃⋊C₁₃
commutator, cosocle, hypocenter	C₅₃	C₂×C₁₃×C₁₉
Frattini	C₁	G
Fitting, socle	C₂×C₁₉×C₅₃	C₁₃
LCS	G ▷ C₅₃
UCS	C₁ ◁ C₂×C₁₉

16 conjugacy classes of subgroups.

μ_t(G) = 2014

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26182, 2);