C₃×C₁₉×D₁₉₇ #36376359

order	22458
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₃×C₁₉×D₁₉₇
unambiguous semidirect product	C₁₉₇⋊(C₂×C₃×C₁₉)

	subgroup	G/H
center, hypercenter	C₃×C₁₉	D₁₉₇
commutator, cosocle, hypocenter	C₁₉₇	C₂×C₃×C₁₉
Frattini	C₁	G
Fitting, socle	C₃×C₁₉×C₁₉₇	C₂
LCS	G ▷ C₁₉₇
UCS	C₁ ◁ C₃×C₁₉

16 conjugacy classes of subgroups.

μ_t(G) = 11229

5700 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22458, 3);