D₉×C₂₉×D₂₉ #44475595

order	30276
automorphism	?
homology	Abelianization (H₁) = C₂²×C₂₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	D₉×C₂₉×D₂₉
unambiguous semidirect product	(D₉×C₂₉)⋊(C₂×C₂₉)
unambiguous semidirect product	(C₉×D₂₉)⋊(C₂×C₂₉)
unambiguous semidirect product	D₂₆₁⋊(C₂×C₂₉)

	subgroup	G/H
center, hypercenter	C₂₉	D₉×D₂₉
commutator, cosocle, hypocenter	C₉×C₂₉	C₂²×C₂₉
Frattini	C₃	D₃×C₂₉×D₂₉
Fitting	C₉×C₂₉²	C₂²
socle	C₃×C₂₉²	C₂×D₃
LCS	G ▷ C₉×C₂₉
UCS	C₁ ◁ C₂₉

144 conjugacy classes of subgroups.

μ_t(G) = 522

2784 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30276, 58);