C₂×C₃×C₃₇×D₇₃ #44569491

order	32412
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₃₇ · Schur multiplier (H₂) = C₂

Aliases

C₂×C₃×C₃₇×D₇₃

	subgroup	G/H
center, hypercenter	C₂×C₃×C₃₇	D₇₃
commutator, cosocle, hypocenter	C₇₃	C₂²×C₃×C₃₇
Frattini	C₁	G
Fitting, socle	C₂×C₃×C₃₇×C₇₃	C₂
LCS	G ▷ C₇₃
UCS	C₁ ◁ C₂×C₃×C₃₇

40 conjugacy classes of subgroups.

μ_t(G) = 16206

8436 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32412, 94);