C₂×C₁₉×D₁₅₃ #26042591

order	11628
isoclinism	isoclinic class of D₁₅₃
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×C₁₉×D₁₅₃
unambiguous semidirect product	(C₂×C₉)⋊(C₁₉×D₁₇)
unambiguous semidirect product	(C₂×C₁₇)⋊(D₉×C₁₉)

	subgroup	G/H
center, hypercenter	C₂×C₁₉	D₁₅₃
commutator, cosocle, hypocenter	C₉×C₁₇	C₂²×C₁₉
Frattini	C₃	C₂×C₁₉×D₅₁
Fitting	C₂×C₉×C₁₇×C₁₉	C₂
socle	C₂×C₃×C₁₇×C₁₉	D₃
LCS	G ▷ C₉×C₁₇
UCS	C₁ ◁ C₂×C₁₉

60 conjugacy classes of subgroups.

2964 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11628, 39);