C₂²×C₃×C₁₃×C₇₉⋊C₃ #49149651

order	36972
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃²×C₁₃ · Schur multiplier (H₂) = C₂×C₃

Aliases

C₂²×C₃×C₁₃×C₇₉⋊C₃

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

120 conjugacy classes of subgroups.

μ_t(G) = 12324

4524 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(36972, 299);