C₂²×C₇×C₁₉₃⋊C₃ #30633906

order	16212
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₇ · Schur multiplier (H₂) = C₂

Aliases

C₂²×C₇×C₁₉₃⋊C₃

	subgroup	G/H
center, hypercenter	C₂²×C₇	C₁₉₃⋊C₃
commutator, cosocle, hypocenter	C₁₉₃	C₂²×C₃×C₇
Frattini	C₁	G
Fitting, socle	C₂²×C₇×C₁₉₃	C₃
LCS	G ▷ C₁₉₃
UCS	C₁ ◁ C₂²×C₇

40 conjugacy classes of subgroups.

μ_t(G) = 5404

1876 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16212, 69);