C₃×C₁₃×C₁₇×C₁₃⋊C₃ #39905482

order	25857
automorphism	?
homology	Abelianization (H₁) = C₃²×C₁₃×C₁₇ · Schur multiplier (H₂) = C₃

Aliases

direct product	C₃×C₁₃×C₁₇×C₁₃⋊C₃
unambiguous semidirect product	C₁₃⋊(C₃²×C₁₃×C₁₇)
unambiguous semidirect product	(C₃×C₁₃)⋊(C₃×C₁₃×C₁₇)
unambiguous semidirect product	(C₁₃×C₁₇)⋊(C₃²×C₁₃)
unambiguous semidirect product	(C₃×C₁₃×C₁₇)⋊(C₃×C₁₃)

	subgroup	G/H
center, hypercenter	C₃×C₁₃×C₁₇	C₁₃⋊C₃
commutator, cosocle, hypocenter	C₁₃	C₃²×C₁₃×C₁₇
Frattini	C₁	G
Fitting, socle	C₃×C₁₃²×C₁₇	C₃
LCS	G ▷ C₁₃
UCS	C₁ ◁ C₃×C₁₃×C₁₇

64 conjugacy classes of subgroups.

μ_t(G) = 1989

4641 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(25857, 11);