C₂×C₇×C₃⋊D₃×C₇₃ #32913978

order	18396
automorphism	?
homology	Abelianization (H₁) = C₂²×C₇×C₇₃ · Schur multiplier (H₂) = C₂×C₃

Aliases

direct product	C₂×C₇×C₃⋊D₃×C₇₃
unambiguous semidirect product	(C₂×C₃)⋊(D₃×C₇×C₇₃)

	subgroup	G/H
center, hypercenter	C₂×C₇×C₇₃	C₃⋊D₃
commutator, cosocle, hypocenter	C₃²	C₂²×C₇×C₇₃
Frattini	C₁	G
Fitting, socle	C₂×C₃²×C₇×C₇₃	C₂
LCS	G ▷ C₃²
UCS	C₁ ◁ C₂×C₇×C₇₃

120 conjugacy classes of subgroups.

μ_t(G) = 9198

6132 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18396, 296);