C₂²×C₃₇×C₇₉⋊C₃ #47975185

order	35076
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₃₇ · Schur multiplier (H₂) = C₂

Aliases

C₂²×C₃₇×C₇₉⋊C₃

	subgroup	G/H
center, hypercenter	C₂²×C₃₇	C₇₉⋊C₃
commutator, cosocle, hypocenter	C₇₉	C₂²×C₃×C₃₇
Frattini	C₁	G
Fitting, socle	C₂²×C₃₇×C₇₉	C₃
LCS	G ▷ C₇₉
UCS	C₁ ◁ C₂²×C₃₇

40 conjugacy classes of subgroups.

μ_t(G) = 11692

4292 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(35076, 66);