Extensions 1→N→G→Q→1 with N=C3xC3:C8 and Q=C6

Direct product G=NxQ with N=C3xC3:C8 and Q=C6
dρLabelID
C3xC6xC3:C8144C3xC6xC3:C8432,469

Semidirect products G=N:Q with N=C3xC3:C8 and Q=C6
extensionφ:Q→Out NdρLabelID
(C3xC3:C8):1C6 = C3xC3:D24φ: C6/C3C2 ⊆ Out C3xC3:C8484(C3xC3:C8):1C6432,419
(C3xC3:C8):2C6 = C3xD12.S3φ: C6/C3C2 ⊆ Out C3xC3:C8484(C3xC3:C8):2C6432,421
(C3xC3:C8):3C6 = C3xC32:5SD16φ: C6/C3C2 ⊆ Out C3xC3:C8484(C3xC3:C8):3C6432,422
(C3xC3:C8):4C6 = C32xD4:S3φ: C6/C3C2 ⊆ Out C3xC3:C872(C3xC3:C8):4C6432,475
(C3xC3:C8):5C6 = C3xS3xC3:C8φ: C6/C3C2 ⊆ Out C3xC3:C8484(C3xC3:C8):5C6432,414
(C3xC3:C8):6C6 = C3xC12.29D6φ: C6/C3C2 ⊆ Out C3xC3:C8484(C3xC3:C8):6C6432,415
(C3xC3:C8):7C6 = C3xD6.Dic3φ: C6/C3C2 ⊆ Out C3xC3:C8484(C3xC3:C8):7C6432,416
(C3xC3:C8):8C6 = C3xC12.31D6φ: C6/C3C2 ⊆ Out C3xC3:C8484(C3xC3:C8):8C6432,417
(C3xC3:C8):9C6 = C32xD4.S3φ: C6/C3C2 ⊆ Out C3xC3:C872(C3xC3:C8):9C6432,476
(C3xC3:C8):10C6 = C32xQ8:2S3φ: C6/C3C2 ⊆ Out C3xC3:C8144(C3xC3:C8):10C6432,477
(C3xC3:C8):11C6 = C32xC8:S3φ: C6/C3C2 ⊆ Out C3xC3:C8144(C3xC3:C8):11C6432,465
(C3xC3:C8):12C6 = C32xC4.Dic3φ: C6/C3C2 ⊆ Out C3xC3:C872(C3xC3:C8):12C6432,470
(C3xC3:C8):13C6 = S3xC3xC24φ: trivial image144(C3xC3:C8):13C6432,464

Non-split extensions G=N.Q with N=C3xC3:C8 and Q=C6
extensionφ:Q→Out NdρLabelID
(C3xC3:C8).1C6 = C3xC32:3Q16φ: C6/C3C2 ⊆ Out C3xC3:C8484(C3xC3:C8).1C6432,424
(C3xC3:C8).2C6 = C9xD4:S3φ: C6/C3C2 ⊆ Out C3xC3:C8724(C3xC3:C8).2C6432,150
(C3xC3:C8).3C6 = C9xC3:Q16φ: C6/C3C2 ⊆ Out C3xC3:C81444(C3xC3:C8).3C6432,159
(C3xC3:C8).4C6 = C32xC3:Q16φ: C6/C3C2 ⊆ Out C3xC3:C8144(C3xC3:C8).4C6432,478
(C3xC3:C8).5C6 = C9xD4.S3φ: C6/C3C2 ⊆ Out C3xC3:C8724(C3xC3:C8).5C6432,151
(C3xC3:C8).6C6 = C9xQ8:2S3φ: C6/C3C2 ⊆ Out C3xC3:C81444(C3xC3:C8).6C6432,158
(C3xC3:C8).7C6 = C9xC8:S3φ: C6/C3C2 ⊆ Out C3xC3:C81442(C3xC3:C8).7C6432,110
(C3xC3:C8).8C6 = C9xC4.Dic3φ: C6/C3C2 ⊆ Out C3xC3:C8722(C3xC3:C8).8C6432,127
(C3xC3:C8).9C6 = S3xC72φ: trivial image1442(C3xC3:C8).9C6432,109
(C3xC3:C8).10C6 = C18xC3:C8φ: trivial image144(C3xC3:C8).10C6432,126

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