C₂×D₅×C₁₉×C₅₉ #36375780

order	22420
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₉×C₅₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×D₅×C₁₉×C₅₉
unambiguous semidirect product	C₅⋊(C₂²×C₁₉×C₅₉)
unambiguous semidirect product	(C₂×C₅)⋊(C₂×C₁₉×C₅₉)

	subgroup	G/H
center, hypercenter	C₂×C₁₉×C₅₉	D₅
commutator, cosocle, hypocenter	C₅	C₂²×C₁₉×C₅₉
Frattini	C₁	G
Fitting, socle	C₂×C₅×C₁₉×C₅₉	C₂
LCS	G ▷ C₅
UCS	C₁ ◁ C₂×C₁₉×C₅₉

40 conjugacy classes of subgroups.

μ_t(G) = 11210

8968 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22420, 24);