C₂×C₇×C₁₉×D₅₉ #44536008

order	31388
automorphism	?
homology	Abelianization (H₁) = C₂²×C₇×C₁₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×C₇×C₁₉×D₅₉
unambiguous semidirect product	C₅₉⋊(C₂²×C₇×C₁₉)
unambiguous semidirect product	(C₂×C₅₉)⋊(C₂×C₇×C₁₉)

	subgroup	G/H
center, hypercenter	C₂×C₇×C₁₉	D₅₉
commutator, cosocle, hypocenter	C₅₉	C₂²×C₇×C₁₉
Frattini	C₁	G
Fitting, socle	C₂×C₇×C₁₉×C₅₉	C₂
LCS	G ▷ C₅₉
UCS	C₁ ◁ C₂×C₇×C₁₉

40 conjugacy classes of subgroups.

μ_t(G) = 15694

8246 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31388, 17);