C₂×C₁₃×C₃⋊D₃×C₄₇ #36347285

order	21996
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₃×C₄₇ · Schur multiplier (H₂) = C₂×C₃

Aliases

direct product	C₂×C₁₃×C₃⋊D₃×C₄₇
unambiguous semidirect product	(C₂×C₃)⋊(D₃×C₁₃×C₄₇)

	subgroup	G/H
center, hypercenter	C₂×C₁₃×C₄₇	C₃⋊D₃
commutator, cosocle, hypocenter	C₃²	C₂²×C₁₃×C₄₇
Frattini	C₁	G
Fitting, socle	C₂×C₃²×C₁₃×C₄₇	C₂
LCS	G ▷ C₃²
UCS	C₁ ◁ C₂×C₁₃×C₄₇

120 conjugacy classes of subgroups.

μ_t(G) = 10998

7332 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(21996, 126);