C₃⋊D₃×C₁₉×C₈₉ #44478455

order	30438
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₉×C₈₉ · Schur multiplier (H₂) = C₃

Aliases

direct product	C₃⋊D₃×C₁₉×C₈₉
unambiguous semidirect product	C₃⋊(D₃×C₁₉×C₈₉)

	subgroup	G/H
center, hypercenter	C₁₉×C₈₉	C₃⋊D₃
commutator, cosocle, hypocenter	C₃²	C₂×C₁₉×C₈₉
Frattini	C₁	G
Fitting, socle	C₃²×C₁₉×C₈₉	C₂
LCS	G ▷ C₃²
UCS	C₁ ◁ C₁₉×C₈₉

48 conjugacy classes of subgroups.

μ_t(G) = 15219

10146 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30438, 33);