C₇×C₆₁×D₃₉ #45686557

order	33306
automorphism	?
homology	Abelianization (H₁) = C₂×C₇×C₆₁ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₇×C₆₁×D₃₉
unambiguous semidirect product	C₃⋊(C₇×D₁₃×C₆₁)
unambiguous semidirect product	C₁₃⋊(D₃×C₇×C₆₁)

	subgroup	G/H
center, hypercenter	C₇×C₆₁	D₃₉
commutator, cosocle, hypocenter	C₃×C₁₃	C₂×C₇×C₆₁
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₃×C₆₁	C₂
LCS	G ▷ C₃×C₁₃
UCS	C₁ ◁ C₇×C₆₁

32 conjugacy classes of subgroups.

μ_t(G) = 16653

8967 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33306, 24);