C₃×D₃×C₁₉×C₉₇ #45684353

order	33174
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₁₉×C₉₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₃×D₃×C₁₉×C₉₇
unambiguous semidirect product	C₃⋊(C₂×C₃×C₁₉×C₉₇)

	subgroup	G/H
center, hypercenter	C₃×C₁₉×C₉₇	D₃
commutator, cosocle, hypocenter	C₃	C₂×C₃×C₁₉×C₉₇
Frattini	C₁	G
Fitting, socle	C₃²×C₁₉×C₉₇	C₂
LCS	G ▷ C₃
UCS	C₁ ◁ C₃×C₁₉×C₉₇

36 conjugacy classes of subgroups.

μ_t(G) = 11058

16587 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33174, 77);