C₂×C₃²×D₁₃×C₄₇ #36347279

order	21996
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃²×C₄₇ · Schur multiplier (H₂) = C₂×C₃

Aliases

C₂×C₃²×D₁₃×C₄₇

	subgroup	G/H
center, hypercenter	C₂×C₃²×C₄₇	D₁₃
commutator, cosocle, hypocenter	C₁₃	C₂²×C₃²×C₄₇
Frattini	C₁	G
Fitting, socle	C₂×C₃²×C₁₃×C₄₇	C₂
LCS	G ▷ C₁₃
UCS	C₁ ◁ C₂×C₃²×C₄₇

120 conjugacy classes of subgroups.

μ_t(G) = 10998

6768 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(21996, 120);