C₁₇×C₆₁₃⋊C₃ #44530519

order	31263
automorphism	?
homology	Abelianization (H₁) = C₃×C₁₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₇×C₆₁₃⋊C₃
unambiguous semidirect product	(C₁₇×C₆₁₃)⋊C₃

Fitting, socle, Hall	C₁₇×C₆₁₃ ⋊ C₃
derived, Sylow	C₆₁₃ ⋊ C₃×C₁₇

	subgroup	G/H
center, hypercenter	C₁₇	C₆₁₃⋊C₃
commutator, cosocle, hypocenter	C₆₁₃	C₃×C₁₇
Frattini	C₁	G
Fitting, socle	C₁₇×C₆₁₃	C₃
LCS	G ▷ C₆₁₃
UCS	C₁ ◁ C₁₇

8 conjugacy classes of subgroups.

μ_t(G) = 10421

3519 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31263, 3);