C₂×C₁₃×C₁₉⋊D₁₉ #34037360

order	18772
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₃ · Schur multiplier (H₂) = C₂×C₁₉

Aliases

direct product	C₂×C₁₃×C₁₉⋊D₁₉
unambiguous semidirect product	(C₂×C₁₉)⋊(C₁₃×D₁₉)

	subgroup	G/H
center, hypercenter	C₂×C₁₃	C₁₉⋊D₁₉
commutator, cosocle, hypocenter	C₁₉²	C₂²×C₁₃
Frattini	C₁	G
Fitting, socle	C₂×C₁₃×C₁₉²	C₂
LCS	G ▷ C₁₉²
UCS	C₁ ◁ C₂×C₁₃

220 conjugacy classes of subgroups.

μ_t(G) = 9386

4732 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18772, 33);