C₁₃×D₂₁×C₁₉⋊C₃ #44527995

order	31122
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₁₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₃×D₂₁×C₁₉⋊C₃
unambiguous semidirect product	C₃⋊(C₁₃×D₇×C₁₉⋊C₃)

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

72 conjugacy classes of subgroups.

μ_t(G) = 5187

1404 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31122, 478);