D₃×C₁₉×C₁₉₇ #36376362

order	22458
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₉×C₁₉₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₃×C₁₉×C₁₉₇
unambiguous semidirect product	C₃⋊(C₂×C₁₉×C₁₉₇)

	subgroup	G/H
center, hypercenter	C₁₉×C₁₉₇	D₃
commutator, cosocle, hypocenter	C₃	C₂×C₁₉×C₁₉₇
Frattini	C₁	G
Fitting, socle	C₃×C₁₉×C₁₉₇	C₂
LCS	G ▷ C₃
UCS	C₁ ◁ C₁₉×C₁₉₇

16 conjugacy classes of subgroups.

μ_t(G) = 11229

11229 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22458, 6);