C₂²×C₃×C₁₃×C₆₇⋊C₃ #44535817

order	31356
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃²×C₁₃ · Schur multiplier (H₂) = C₂×C₃

Aliases

C₂²×C₃×C₁₃×C₆₇⋊C₃

	subgroup	G/H
center, hypercenter	C₂²×C₃×C₁₃	C₆₇⋊C₃
commutator, cosocle, hypocenter	C₆₇	C₂²×C₃²×C₁₃
Frattini	C₁	G
Fitting, socle	C₂²×C₃×C₁₃×C₆₇	C₃
LCS	G ▷ C₆₇
UCS	C₁ ◁ C₂²×C₃×C₁₃

120 conjugacy classes of subgroups.

μ_t(G) = 10452

3900 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31356, 253);