C₇×C₁₃×C₃⋊D₅₇ #44528039

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

Aliases

direct product	C₇×C₁₃×C₃⋊D₅₇
unambiguous semidirect product	C₃⋊(C₇×C₁₃×D₅₇)
unambiguous semidirect product	C₁₉⋊(C₇×C₁₃×C₃⋊D₃)

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

96 conjugacy classes of subgroups.

μ_t(G) = 15561

7917 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31122, 522);