C₂×C₃×C₁₇×C₄₃⋊C₇ #44502009

order	30702
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₇×C₁₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₂×C₃×C₁₇×C₄₃⋊C₇
unambiguous semidirect product	(C₂×C₃×C₄₃)⋊(C₇×C₁₇)
unambiguous semidirect product	(C₂×C₃×C₁₇×C₄₃)⋊C₇

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

32 conjugacy classes of subgroups.

μ_t(G) = 4386

1326 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30702, 2);