C₃×C₂₃×D₂₄₇ #46801762

order	34086
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₂₃ · Schur multiplier (H₂) = C₁

Aliases

C₃×C₂₃×D₂₄₇

	subgroup	G/H
center, hypercenter	C₃×C₂₃	D₂₄₇
commutator, cosocle, hypocenter	C₁₃×C₁₉	C₂×C₃×C₂₃
Frattini	C₁	G
Fitting, socle	C₃×C₁₃×C₁₉×C₂₃	C₂
LCS	G ▷ C₁₃×C₁₉
UCS	C₁ ◁ C₃×C₂₃

32 conjugacy classes of subgroups.

μ_t(G) = 17043

8625 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34086, 11);