C₂×C₅₄₁₃⋊C₃ #44570355

order	32478
automorphism	?
homology	Abelianization (H₁) = C₂×C₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₂×C₅₄₁₃⋊C₃
unambiguous semidirect product	(C₂×C₅₄₁₃)⋊C₃

Fitting, socle, Hall	C₂×C₅₄₁₃ ⋊ C₃
derived, Sylow	C₅₄₁₃ ⋊ C₂×C₃

	subgroup	G/H
center, hypercenter	C₂	C₅₄₁₃⋊C₃
commutator, cosocle, hypocenter	C₅₄₁₃	C₂×C₃
Frattini	C₁	G
Fitting, socle	C₂×C₅₄₁₃	C₃
LCS	G ▷ C₅₄₁₃
UCS	C₁ ◁ C₂

8 conjugacy classes of subgroups.

μ_t(G) = 10826

3614 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32478, 2);