C₃×C₁₇×ΓL(1,𝔽₈)⋊AGL(1,𝔽₅) #36339341

order	21420
automorphism	?
homology	Abelianization (H₁) = C₃²×C₄×C₁₇ · Schur multiplier (H₂) = C₃

Aliases

direct product	C₃×C₁₇×ΓL(1,𝔽₈)⋊AGL(1,𝔽₅)
unambiguous semidirect product	ΓL(1,𝔽₈)⋊(C₃×C₁₇×AGL(1,𝔽₅))
unambiguous semidirect product	(C₇⋊AGL(1,𝔽₅))⋊(C₃²×C₁₇)
unambiguous semidirect product	(C₃×C₇⋊AGL(1,𝔽₅))⋊(C₃×C₁₇)
unambiguous semidirect product	(C₁₇×C₇⋊AGL(1,𝔽₅))⋊C₃²
unambiguous semidirect product	(C₃×C₁₇×C₇⋊AGL(1,𝔽₅))⋊C₃

144 conjugacy classes of subgroups.

μ_t(G) = 1785

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(21420, 173);