C₂×C₅×C₁₉×D₈₃ #44538705

order	31540
automorphism	?
homology	Abelianization (H₁) = C₂²×C₅×C₁₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×C₅×C₁₉×D₈₃
unambiguous semidirect product	C₈₃⋊(C₂²×C₅×C₁₉)
unambiguous semidirect product	(C₂×C₈₃)⋊(C₂×C₅×C₁₉)

	subgroup	G/H
center, hypercenter	C₂×C₅×C₁₉	D₈₃
commutator, cosocle, hypocenter	C₈₃	C₂²×C₅×C₁₉
Frattini	C₁	G
Fitting, socle	C₂×C₅×C₁₉×C₈₃	C₂
LCS	G ▷ C₈₃
UCS	C₁ ◁ C₂×C₅×C₁₉

40 conjugacy classes of subgroups.

μ_t(G) = 15770

8170 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31540, 21);