C₁₃×C₁₉×C₃⋊D₂₁ #44528042

order	31122
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₃×C₁₉ · Schur multiplier (H₂) = C₃

Aliases

direct product	C₁₃×C₁₉×C₃⋊D₂₁
unambiguous semidirect product	C₃⋊(C₁₃×C₁₉×D₂₁)
unambiguous semidirect product	C₇⋊(C₁₃×C₃⋊D₃×C₁₉)

	subgroup	G/H
center, hypercenter	C₁₃×C₁₉	C₃⋊D₂₁
commutator, cosocle, hypocenter	C₃²×C₇	C₂×C₁₃×C₁₉
Frattini	C₁	G
Fitting, socle	C₃²×C₇×C₁₃×C₁₉	C₂
LCS	G ▷ C₃²×C₇
UCS	C₁ ◁ C₁₃×C₁₉

96 conjugacy classes of subgroups.

μ_t(G) = 15561

8151 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31122, 525);