C₃×C₇×C₁₉×D₃₉ #44528032

order	31122
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₇×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₃×C₇×C₁₉×D₃₉
unambiguous semidirect product	C₃⋊(C₃×C₇×C₁₉×D₁₃)

	subgroup	G/H
center, hypercenter	C₃×C₇×C₁₉	D₃₉
commutator, cosocle, hypocenter	C₃×C₁₃	C₂×C₃×C₇×C₁₉
Frattini	C₁	G
Fitting, socle	C₃²×C₇×C₁₃×C₁₉	C₂
LCS	G ▷ C₃×C₁₃
UCS	C₁ ◁ C₃×C₇×C₁₉

72 conjugacy classes of subgroups.

μ_t(G) = 10374

8379 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31122, 515);