C₂×C₁₃⋊C₃×D₁₃₃ #35209125

order	20748
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃ · Schur multiplier (H₂) = C₂

Aliases

C₂×C₁₃⋊C₃×D₁₃₃

	subgroup	G/H
center, hypercenter	C₂	C₁₃⋊C₃×D₁₃₃
commutator, cosocle, hypocenter	C₇×C₁₃×C₁₉	C₂²×C₃
Frattini	C₁	G
Fitting, socle	C₂×C₇×C₁₃×C₁₉	C₂×C₃
LCS	G ▷ C₇×C₁₃×C₁₉
UCS	C₁ ◁ C₂

80 conjugacy classes of subgroups.

μ_t(G) = 3458

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(20748, 353);