C₁₃⋊C₉×D₁₃₃ #44527600

order	31122
automorphism	?
homology	Abelianization (H₁) = C₂×C₉ · Schur multiplier (H₂) = C₁

Aliases

C₁₃⋊C₉×D₁₃₃

	subgroup	G/H
center, Frattini, hypercenter	C₃	C₁₃⋊C₃×D₁₃₃
commutator, hypocenter	C₇×C₁₃×C₁₉	C₂×C₉
Fitting, socle, cosocle	C₃×C₇×C₁₃×C₁₉	C₂×C₃
prime radical	C₃×C₁₃×D₁₃₃	C₃
LCS	G ▷ C₇×C₁₃×C₁₉
UCS	C₁ ◁ C₃

48 conjugacy classes of subgroups.

μ_t(G) = 15561

1428 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31122, 83);