C₂²×C₅×C₃₄₉⋊C₃ #35230285

order	20940
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₅ · Schur multiplier (H₂) = C₂

Aliases

C₂²×C₅×C₃₄₉⋊C₃

	subgroup	G/H
center, hypercenter	C₂²×C₅	C₃₄₉⋊C₃
commutator, cosocle, hypocenter	C₃₄₉	C₂²×C₃×C₅
Frattini	C₁	G
Fitting, socle	C₂²×C₅×C₃₄₉	C₃
LCS	G ▷ C₃₄₉
UCS	C₁ ◁ C₂²×C₅

40 conjugacy classes of subgroups.

μ_t(G) = 6980

2380 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(20940, 45);