C₃⋊D₃×C₁₉×C₉₇ #45684357

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

Aliases

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

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

48 conjugacy classes of subgroups.

μ_t(G) = 16587

11058 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33174, 81);