C₃×A₄×C₁₃×C₇₉ #49149646

order	36972
automorphism	?
homology	Abelianization (H₁) = C₃²×C₁₃×C₇₉ · Schur multiplier (H₂) = C₂×C₃

Aliases

direct product	C₃×A₄×C₁₃×C₇₉
unambiguous semidirect product	C₂²⋊(C₃²×C₁₃×C₇₉)
unambiguous semidirect product	(C₂²×C₃)⋊(C₃×C₁₃×C₇₉)

	subgroup	G/H
center, hypercenter	C₃×C₁₃×C₇₉	A₄
commutator, cosocle, hypocenter	C₂²	C₃²×C₁₃×C₇₉
Frattini	C₁	G
Fitting, socle	C₂²×C₃×C₁₃×C₇₉	C₃
LCS	G ▷ C₂²
UCS	C₁ ◁ C₃×C₁₃×C₇₉

56 conjugacy classes of subgroups.

μ_t(G) = 12324

12324 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(36972, 294);