C₂×C₃×C₄₇×D₆₇ #49180232

order	37788
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₄₇ · Schur multiplier (H₂) = C₂

Aliases

C₂×C₃×C₄₇×D₆₇

	subgroup	G/H
center, hypercenter	C₂×C₃×C₄₇	D₆₇
commutator, cosocle, hypocenter	C₆₇	C₂²×C₃×C₄₇
Frattini	C₁	G
Fitting, socle	C₂×C₃×C₄₇×C₆₇	C₂
LCS	G ▷ C₆₇
UCS	C₁ ◁ C₂×C₃×C₄₇

40 conjugacy classes of subgroups.

μ_t(G) = 18894

9870 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(37788, 28);