C₃×C₄₃×D₁₁₉ #44502020

order	30702
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₄₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₃×C₄₃×D₁₁₉
unambiguous semidirect product	C₁₇⋊(C₃×D₇×C₄₃)

	subgroup	G/H
center, hypercenter	C₃×C₄₃	D₁₁₉
commutator, cosocle, hypocenter	C₇×C₁₇	C₂×C₃×C₄₃
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₇×C₄₃	C₂
LCS	G ▷ C₇×C₁₇
UCS	C₁ ◁ C₃×C₄₃

32 conjugacy classes of subgroups.

μ_t(G) = 15351

7869 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30702, 13);