C₇×C₁₉×D₈₇ #37529007

order	23142
automorphism	?
homology	Abelianization (H₁) = C₂×C₇×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₇×C₁₉×D₈₇
unambiguous semidirect product	C₃⋊(C₇×C₁₉×D₂₉)

	subgroup	G/H
center, hypercenter	C₇×C₁₉	D₈₇
commutator, cosocle, hypocenter	C₃×C₂₉	C₂×C₇×C₁₉
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₉×C₂₉	C₂
LCS	G ▷ C₃×C₂₉
UCS	C₁ ◁ C₇×C₁₉

32 conjugacy classes of subgroups.

μ_t(G) = 11571

5985 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23142, 16);