C₃×C₅×C₃₁×D₂₉ #41004187

order	26970
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₅×C₃₁ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₃×C₅×C₃₁×D₂₉
unambiguous semidirect product	C₂₉⋊(C₂×C₃×C₅×C₃₁)

	subgroup	G/H
center, hypercenter	C₃×C₅×C₃₁	D₂₉
commutator, cosocle, hypocenter	C₂₉	C₂×C₃×C₅×C₃₁
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₂₉×C₃₁	C₂
LCS	G ▷ C₂₉
UCS	C₁ ◁ C₃×C₅×C₃₁

32 conjugacy classes of subgroups.

μ_t(G) = 13485

7440 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26970, 6);