# Extensions 1→N→G→Q→1 with N=C22×C18 and Q=S3

Direct product G=N×Q with N=C22×C18 and Q=S3
dρLabelID
S3×C22×C18144S3xC2^2xC18432,557

Semidirect products G=N:Q with N=C22×C18 and Q=S3
extensionφ:Q→Aut NdρLabelID
(C22×C18)⋊1S3 = C18×S4φ: S3/C1S3 ⊆ Aut C22×C18543(C2^2xC18):1S3432,532
(C22×C18)⋊2S3 = C2×C9⋊S4φ: S3/C1S3 ⊆ Aut C22×C18546+(C2^2xC18):2S3432,536
(C22×C18)⋊3S3 = C18×C3⋊D4φ: S3/C3C2 ⊆ Aut C22×C1872(C2^2xC18):3S3432,375
(C22×C18)⋊4S3 = C2×C6.D18φ: S3/C3C2 ⊆ Aut C22×C18216(C2^2xC18):4S3432,397
(C22×C18)⋊5S3 = C23×C9⋊S3φ: S3/C3C2 ⊆ Aut C22×C18216(C2^2xC18):5S3432,560

Non-split extensions G=N.Q with N=C22×C18 and Q=S3
extensionφ:Q→Aut NdρLabelID
(C22×C18).1S3 = C9×A4⋊C4φ: S3/C1S3 ⊆ Aut C22×C181083(C2^2xC18).1S3432,242
(C22×C18).2S3 = C18.S4φ: S3/C1S3 ⊆ Aut C22×C181086-(C2^2xC18).2S3432,39
(C22×C18).3S3 = C2×C9.S4φ: S3/C1S3 ⊆ Aut C22×C18546+(C2^2xC18).3S3432,224
(C22×C18).4S3 = A4⋊Dic9φ: S3/C1S3 ⊆ Aut C22×C181086-(C2^2xC18).4S3432,254
(C22×C18).5S3 = C9×C6.D4φ: S3/C3C2 ⊆ Aut C22×C1872(C2^2xC18).5S3432,165
(C22×C18).6S3 = C54.D4φ: S3/C3C2 ⊆ Aut C22×C18216(C2^2xC18).6S3432,19
(C22×C18).7S3 = C22×Dic27φ: S3/C3C2 ⊆ Aut C22×C18432(C2^2xC18).7S3432,51
(C22×C18).8S3 = C2×C27⋊D4φ: S3/C3C2 ⊆ Aut C22×C18216(C2^2xC18).8S3432,52
(C22×C18).9S3 = C62.127D6φ: S3/C3C2 ⊆ Aut C22×C18216(C2^2xC18).9S3432,198
(C22×C18).10S3 = C23×D27φ: S3/C3C2 ⊆ Aut C22×C18216(C2^2xC18).10S3432,227
(C22×C18).11S3 = C22×C9⋊Dic3φ: S3/C3C2 ⊆ Aut C22×C18432(C2^2xC18).11S3432,396
(C22×C18).12S3 = Dic3×C2×C18central extension (φ=1)144(C2^2xC18).12S3432,373

׿
×
𝔽