C₇×C₃₁×D₅₁ #36348990

order	22134
automorphism	?
homology	Abelianization (H₁) = C₂×C₇×C₃₁ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₇×C₃₁×D₅₁
unambiguous semidirect product	C₃⋊(C₇×C₃₁×D₁₇)
unambiguous semidirect product	C₁₇⋊(D₃×C₇×C₃₁)

	subgroup	G/H
center, hypercenter	C₇×C₃₁	D₅₁
commutator, cosocle, hypocenter	C₃×C₁₇	C₂×C₇×C₃₁
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₇×C₃₁	C₂
LCS	G ▷ C₃×C₁₇
UCS	C₁ ◁ C₇×C₃₁

32 conjugacy classes of subgroups.

μ_t(G) = 11067

5859 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22134, 15);