D₆₃×C₂₃₃ #44440253

order	29358
automorphism	?
homology	Abelianization (H₁) = C₂×C₂₃₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₆₃×C₂₃₃
unambiguous semidirect product	C₇⋊(D₉×C₂₃₃)
unambiguous semidirect product	C₉⋊(D₇×C₂₃₃)

	subgroup	G/H
center, hypercenter	C₂₃₃	D₆₃
commutator, cosocle, hypocenter	C₇×C₉	C₂×C₂₃₃
Frattini	C₃	D₂₁×C₂₃₃
Fitting	C₇×C₉×C₂₃₃	C₂
socle	C₃×C₇×C₂₃₃	D₃
LCS	G ▷ C₇×C₉
UCS	C₁ ◁ C₂₃₃

24 conjugacy classes of subgroups.

μ_t(G) = 14679

7689 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29358, 8);