C₇×C₁₃×D₄₃⋊C₃ #37553453

order	23478
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₇×C₁₃ · Schur multiplier (H₂) = C₁

Aliases

C₇×C₁₃×D₄₃⋊C₃

	subgroup	G/H
center, hypercenter	C₇×C₁₃	D₄₃⋊C₃
commutator, cosocle, hypocenter	C₄₃	C₂×C₃×C₇×C₁₃
Frattini	C₁	G
Fitting, socle	C₇×C₁₃×C₄₃	C₂×C₃
LCS	G ▷ C₄₃
UCS	C₁ ◁ C₇×C₁₃

32 conjugacy classes of subgroups.

μ_t(G) = 3913

1183 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23478, 42);