C₂×C₁₃×C₃⋊D₃×C₆₇ #44535828

order	31356
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₃×C₆₇ · Schur multiplier (H₂) = C₂×C₃

Aliases

direct product	C₂×C₁₃×C₃⋊D₃×C₆₇
unambiguous semidirect product	(C₂×C₃)⋊(D₃×C₁₃×C₆₇)

	subgroup	G/H
center, hypercenter	C₂×C₁₃×C₆₇	C₃⋊D₃
commutator, cosocle, hypocenter	C₃²	C₂²×C₁₃×C₆₇
Frattini	C₁	G
Fitting, socle	C₂×C₃²×C₁₃×C₆₇	C₂
LCS	G ▷ C₃²
UCS	C₁ ◁ C₂×C₁₃×C₆₇

120 conjugacy classes of subgroups.

μ_t(G) = 15678

10452 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31356, 264);