C₁₃×D₇×C₁₇₃ #44538425

order	31486
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₃×C₁₇₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₃×D₇×C₁₇₃
unambiguous semidirect product	C₇⋊(C₂×C₁₃×C₁₇₃)

	subgroup	G/H
center, hypercenter	C₁₃×C₁₇₃	D₇
commutator, cosocle, hypocenter	C₇	C₂×C₁₃×C₁₇₃
Frattini	C₁	G
Fitting, socle	C₇×C₁₃×C₁₇₃	C₂
LCS	G ▷ C₇
UCS	C₁ ◁ C₁₃×C₁₇₃

16 conjugacy classes of subgroups.

μ_t(G) = 15743

11245 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31486, 5);