C₂×C₇×C₁₉×C₄₃⋊C₃ #46804871

order	34314
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₇×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

C₂×C₇×C₁₉×C₄₃⋊C₃

	subgroup	G/H
center, hypercenter	C₂×C₇×C₁₉	C₄₃⋊C₃
commutator, cosocle, hypocenter	C₄₃	C₂×C₃×C₇×C₁₉
Frattini	C₁	G
Fitting, socle	C₂×C₇×C₁₉×C₄₃	C₃
LCS	G ▷ C₄₃
UCS	C₁ ◁ C₂×C₇×C₁₉

32 conjugacy classes of subgroups.

μ_t(G) = 11438

4522 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34314, 3);