D₃×C₅₁₉₇ #44529947

order	31182
automorphism	?
homology	Abelianization (H₁) = C₂×C₅₁₉₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₃×C₅₁₉₇
unambiguous semidirect product	C₃⋊(C₂×C₅₁₉₇)

Fitting, socle, Hall	C₃×C₅₁₉₇ ⋊ C₂
derived, Sylow	C₃ ⋊ C₂×C₅₁₉₇

	subgroup	G/H
center, hypercenter	C₅₁₉₇	D₃
commutator, cosocle, hypocenter	C₃	C₂×C₅₁₉₇
Frattini	C₁	G
Fitting, socle	C₃×C₅₁₉₇	C₂
LCS	G ▷ C₃
UCS	C₁ ◁ C₅₁₉₇

8 conjugacy classes of subgroups.

μ_t(G) = 15591

15591 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31182, 3);