C₇₃×D₂₃₃ #46801247

order	34018
automorphism	?
homology	Abelianization (H₁) = C₂×C₇₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₇₃×D₂₃₃
unambiguous semidirect product	C₂₃₃⋊(C₂×C₇₃)

Fitting, socle, Hall	C₇₃×C₂₃₃ ⋊ C₂
derived, Sylow	C₂₃₃ ⋊ C₂×C₇₃

	subgroup	G/H
center, hypercenter	C₇₃	D₂₃₃
commutator, cosocle, hypocenter	C₂₃₃	C₂×C₇₃
Frattini	C₁	G
Fitting, socle	C₇₃×C₂₃₃	C₂
LCS	G ▷ C₂₃₃
UCS	C₁ ◁ C₇₃

8 conjugacy classes of subgroups.

μ_t(G) = 17009

8614 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34018, 2);