C₅×C₂₉×D₉₃ #41004194

order	26970
automorphism	?
homology	Abelianization (H₁) = C₂×C₅×C₂₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₅×C₂₉×D₉₃
unambiguous semidirect product	C₃⋊(C₅×C₂₉×D₃₁)

	subgroup	G/H
center, hypercenter	C₅×C₂₉	D₉₃
commutator, cosocle, hypocenter	C₃×C₃₁	C₂×C₅×C₂₉
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₂₉×C₃₁	C₂
LCS	G ▷ C₃×C₃₁
UCS	C₁ ◁ C₅×C₂₉

32 conjugacy classes of subgroups.

μ_t(G) = 13485

6960 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26970, 13);