C₇₃×C₁₃₉⋊C₃ #44478461

order	30441
automorphism	?
homology	Abelianization (H₁) = C₃×C₇₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₇₃×C₁₃₉⋊C₃
unambiguous semidirect product	C₁₃₉⋊(C₃×C₇₃)

Fitting, socle, Hall	C₇₃×C₁₃₉ ⋊ C₃
derived, Sylow	C₁₃₉ ⋊ C₃×C₇₃

	subgroup	G/H
center, hypercenter	C₇₃	C₁₃₉⋊C₃
commutator, cosocle, hypocenter	C₁₃₉	C₃×C₇₃
Frattini	C₁	G
Fitting, socle	C₇₃×C₁₃₉	C₃
LCS	G ▷ C₁₃₉
UCS	C₁ ◁ C₇₃

8 conjugacy classes of subgroups.

μ_t(G) = 10147

3577 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30441, 2);