C₂×C₇×D₉×C₆₇ #30683092

order	16884
isoclinism	isoclinic class of D₉
automorphism	?
homology	Abelianization (H₁) = C₂²×C₇×C₆₇ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×C₇×D₉×C₆₇
unambiguous semidirect product	C₉⋊(C₂²×C₇×C₆₇)
unambiguous semidirect product	(C₂×C₉)⋊(C₂×C₇×C₆₇)

	subgroup	G/H
center, hypercenter	C₂×C₇×C₆₇	D₉
commutator, cosocle, hypocenter	C₉	C₂²×C₇×C₆₇
Frattini	C₃	C₂×D₃×C₇×C₆₇
Fitting	C₂×C₇×C₉×C₆₇	C₂
socle	C₂×C₃×C₇×C₆₇	D₃
LCS	G ▷ C₉
UCS	C₁ ◁ C₂×C₇×C₆₇

60 conjugacy classes of subgroups.

μ_t(G) = 8442

5628 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16884, 61);