C₂×C₅₁₉₇⋊C₃ #44529946

order	31182
automorphism	?
homology	Abelianization (H₁) = C₂×C₃ · Schur multiplier (H₂) = C₁

Aliases

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

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

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

8 conjugacy classes of subgroups.

μ_t(G) = 10394

3470 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31182, 2);