D₇⋊C₉×D₆₇ #30683059

order	16884
automorphism	?
homology	Abelianization (H₁) = C₂²×C₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	D₇⋊C₉×D₆₇
unambiguous semidirect product	D₇⋊(C₉×D₆₇)
unambiguous semidirect product	(C₇⋊C₉×D₆₇)⋊C₂
unambiguous semidirect product	(C₆₇×D₇⋊C₉)⋊C₂
unambiguous semidirect product	((C₇⋊C₉)⋊D₆₇)⋊C₂

	subgroup	G/H
center, Frattini, hypercenter	C₃	AGL(1,𝔽₇)×D₆₇
commutator, hypocenter	C₇×C₆₇	C₂²×C₉
Fitting, socle, cosocle	C₃×C₇×C₆₇	C₂²×C₃
prime radical	C₃×D₇×D₆₇	C₃
LCS	G ▷ C₇×C₆₇
UCS	C₁ ◁ C₃

60 conjugacy classes of subgroups.

μ_t(G) = 4221

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16884, 28);