C₃×D₇×D₁₆₉ #28382126

order	14196
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃ · Schur multiplier (H₂) = C₂

Aliases

C₃×D₇×D₁₆₉

	subgroup	G/H
center, hypercenter	C₃	D₇×D₁₆₉
commutator, cosocle, hypocenter	C₇×C₁₆₉	C₂²×C₃
Frattini	C₁₃	C₃×D₇×D₁₃
Fitting	C₃×C₇×C₁₆₉	C₂²
socle	C₃×C₇×C₁₃	C₂×D₁₃
LCS	G ▷ C₇×C₁₆₉
UCS	C₁ ◁ C₃

60 conjugacy classes of subgroups.

1290 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14196, 54);