C₃×C₇×C₁₃×D₅₇ #44528031

order	31122
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₇×C₁₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₃×C₇×C₁₃×D₅₇
unambiguous semidirect product	C₃⋊(C₃×C₇×C₁₃×D₁₉)

	subgroup	G/H
center, hypercenter	C₃×C₇×C₁₃	D₅₇
commutator, cosocle, hypocenter	C₃×C₁₉	C₂×C₃×C₇×C₁₃
Frattini	C₁	G
Fitting, socle	C₃²×C₇×C₁₃×C₁₉	C₂
LCS	G ▷ C₃×C₁₉
UCS	C₁ ◁ C₃×C₇×C₁₃

72 conjugacy classes of subgroups.

μ_t(G) = 10374

8190 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31122, 514);