C₃×D₇×D₄₃₃ #49138448

order	36372
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃ · Schur multiplier (H₂) = C₂

Aliases

C₃×D₇×D₄₃₃

	subgroup	G/H
center, hypercenter	C₃	D₇×D₄₃₃
commutator, cosocle, hypocenter	C₇×C₄₃₃	C₂²×C₃
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₄₃₃	C₂²
LCS	G ▷ C₇×C₄₃₃
UCS	C₁ ◁ C₃

40 conjugacy classes of subgroups.

μ_t(G) = 9093

3270 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(36372, 52);