C₁₇×C₃⋊(D₂₉⋊C₇) #35208491

order	20706
automorphism	?
homology	Abelianization (H₁) = C₂×C₇×C₁₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₇×C₃⋊(D₂₉⋊C₇)
unambiguous semidirect product	C₃⋊(C₁₇×D₂₉⋊C₇)
unambiguous semidirect product	D₈₇⋊(C₇×C₁₇)
unambiguous semidirect product	(C₂₉⋊C₇)⋊(D₃×C₁₇)
unambiguous semidirect product	(C₁₇×D₈₇)⋊C₇

	subgroup	G/H
center, hypercenter	C₁₇	C₃⋊(D₂₉⋊C₇)
commutator, cosocle, hypocenter	C₃×C₂₉	C₂×C₇×C₁₇
Frattini	C₁	G
Fitting, socle	C₃×C₁₇×C₂₉	C₂×C₇
LCS	G ▷ C₃×C₂₉
UCS	C₁ ◁ C₁₇

32 conjugacy classes of subgroups.

μ_t(G) = 1479

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(20706, 23);