C₁₇×D₉×C₇₃ #36375232

order	22338
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₇×C₇₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₇×D₉×C₇₃
unambiguous semidirect product	C₉⋊(C₂×C₁₇×C₇₃)

	subgroup	G/H
center, hypercenter	C₁₇×C₇₃	D₉
commutator, cosocle, hypocenter	C₉	C₂×C₁₇×C₇₃
Frattini	C₃	D₃×C₁₇×C₇₃
Fitting	C₉×C₁₇×C₇₃	C₂
socle	C₃×C₁₇×C₇₃	D₃
LCS	G ▷ C₉
UCS	C₁ ◁ C₁₇×C₇₃

24 conjugacy classes of subgroups.

μ_t(G) = 11169

7446 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22338, 6);