C₁₇×C₃₁×D₂₁ #36348992

order	22134
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₇×C₃₁ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₇×C₃₁×D₂₁
unambiguous semidirect product	C₃⋊(D₇×C₁₇×C₃₁)
unambiguous semidirect product	C₇⋊(D₃×C₁₇×C₃₁)

	subgroup	G/H
center, hypercenter	C₁₇×C₃₁	D₂₁
commutator, cosocle, hypocenter	C₃×C₇	C₂×C₁₇×C₃₁
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₇×C₃₁	C₂
LCS	G ▷ C₃×C₇
UCS	C₁ ◁ C₁₇×C₃₁

32 conjugacy classes of subgroups.

μ_t(G) = 11067

6324 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22134, 17);