C₇×C₃₇×D₅₁ #40996105

order	26418
automorphism	?
homology	Abelianization (H₁) = C₂×C₇×C₃₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₇×C₃₇×D₅₁
unambiguous semidirect product	C₃⋊(C₇×D₁₇×C₃₇)
unambiguous semidirect product	C₁₇⋊(D₃×C₇×C₃₇)

	subgroup	G/H
center, hypercenter	C₇×C₃₇	D₅₁
commutator, cosocle, hypocenter	C₃×C₁₇	C₂×C₇×C₃₇
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₇×C₃₇	C₂
LCS	G ▷ C₃×C₁₇
UCS	C₁ ◁ C₇×C₃₇

32 conjugacy classes of subgroups.

μ_t(G) = 13209

6993 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26418, 15);