C₂²×C₃×C₁₃⋊C₃×C₇₉ #49149652

order	36972
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃²×C₇₉ · Schur multiplier (H₂) = C₂×C₃

Aliases

C₂²×C₃×C₁₃⋊C₃×C₇₉

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

120 conjugacy classes of subgroups.

μ_t(G) = 12324

6636 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(36972, 300);