C₂×C₁₇²×C₃⋊D₃ #23780944

order	10404
isoclinism	isoclinic class of C₃⋊D₃
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₇² · Schur multiplier (H₂) = C₂×C₃×C₁₇

Aliases

direct product	C₂×C₁₇²×C₃⋊D₃
unambiguous semidirect product	(C₂×C₃)⋊(D₃×C₁₇²)

	subgroup	G/H
center, hypercenter	C₂×C₁₇²	C₃⋊D₃
commutator, cosocle, hypocenter	C₃²	C₂²×C₁₇²
Frattini	C₁	G
Fitting, socle	C₂×C₃²×C₁₇²	C₂
LCS	G ▷ C₃²
UCS	C₁ ◁ C₂×C₁₇²

600 conjugacy classes of subgroups.

3468 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(10404, 154);