D₇×C₂₉×C₁₉⋊C₃ #37529033

order	23142
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₂₉ · Schur multiplier (H₂) = C₁

Aliases

D₇×C₂₉×C₁₉⋊C₃

	subgroup	G/H
center, hypercenter	C₂₉	D₇×C₁₉⋊C₃
commutator, cosocle, hypocenter	C₇×C₁₉	C₂×C₃×C₂₉
Frattini	C₁	G
Fitting, socle	C₇×C₁₉×C₂₉	C₂×C₃
LCS	G ▷ C₇×C₁₉
UCS	C₁ ◁ C₂₉

32 conjugacy classes of subgroups.

μ_t(G) = 3857

1305 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23142, 42);