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Extensions 1→N→G→Q→1 with N=C22xC3:S3 and Q=C6

Direct product G=NxQ with N=C22xC3:S3 and Q=C6
dρLabelID
C3:S3xC22xC6144C3:S3xC2^2xC6432,773

Semidirect products G=N:Q with N=C22xC3:S3 and Q=C6
extensionφ:Q→Out NdρLabelID
(C22xC3:S3):1C6 = C2xHe3:4D4φ: C6/C1 → C6 ⊆ Out C22xC3:S372(C2^2xC3:S3):1C6432,350
(C22xC3:S3):2C6 = D4xC32:C6φ: C6/C1 → C6 ⊆ Out C22xC3:S33612+(C2^2xC3:S3):2C6432,360
(C22xC3:S3):3C6 = C2xHe3:6D4φ: C6/C1 → C6 ⊆ Out C22xC3:S372(C2^2xC3:S3):3C6432,377
(C22xC3:S3):4C6 = S32xA4φ: C6/C1 → C6 ⊆ Out C22xC3:S32412+(C2^2xC3:S3):4C6432,749
(C22xC3:S3):5C6 = C2xC62:C6φ: C6/C2 → C3 ⊆ Out C22xC3:S3186+(C2^2xC3:S3):5C6432,542
(C22xC3:S3):6C6 = C23xC32:C6φ: C6/C2 → C3 ⊆ Out C22xC3:S372(C2^2xC3:S3):6C6432,558
(C22xC3:S3):7C6 = C2xA4xC3:S3φ: C6/C2 → C3 ⊆ Out C22xC3:S354(C2^2xC3:S3):7C6432,764
(C22xC3:S3):8C6 = C6xC3:D12φ: C6/C3 → C2 ⊆ Out C22xC3:S348(C2^2xC3:S3):8C6432,656
(C22xC3:S3):9C6 = C3xDic3:D6φ: C6/C3 → C2 ⊆ Out C22xC3:S3244(C2^2xC3:S3):9C6432,659
(C22xC3:S3):10C6 = C6xC12:S3φ: C6/C3 → C2 ⊆ Out C22xC3:S3144(C2^2xC3:S3):10C6432,712
(C22xC3:S3):11C6 = C3xD4xC3:S3φ: C6/C3 → C2 ⊆ Out C22xC3:S372(C2^2xC3:S3):11C6432,714
(C22xC3:S3):12C6 = C6xC32:7D4φ: C6/C3 → C2 ⊆ Out C22xC3:S372(C2^2xC3:S3):12C6432,719
(C22xC3:S3):13C6 = S32xC2xC6φ: C6/C3 → C2 ⊆ Out C22xC3:S348(C2^2xC3:S3):13C6432,767

Non-split extensions G=N.Q with N=C22xC3:S3 and Q=C6
extensionφ:Q→Out NdρLabelID
(C22xC3:S3).1C6 = C62.21D6φ: C6/C1 → C6 ⊆ Out C22xC3:S372(C2^2xC3:S3).1C6432,141
(C22xC3:S3).2C6 = A4xC32:C4φ: C6/C1 → C6 ⊆ Out C22xC3:S32412+(C2^2xC3:S3).2C6432,744
(C22xC3:S3).3C6 = C2xC4xC32:C6φ: C6/C2 → C3 ⊆ Out C22xC3:S372(C2^2xC3:S3).3C6432,349
(C22xC3:S3).4C6 = C3xC6.D12φ: C6/C3 → C2 ⊆ Out C22xC3:S348(C2^2xC3:S3).4C6432,427
(C22xC3:S3).5C6 = C3xC6.11D12φ: C6/C3 → C2 ⊆ Out C22xC3:S3144(C2^2xC3:S3).5C6432,490
(C22xC3:S3).6C6 = C3xC62:C4φ: C6/C3 → C2 ⊆ Out C22xC3:S3244(C2^2xC3:S3).6C6432,634
(C22xC3:S3).7C6 = C6xC6.D6φ: C6/C3 → C2 ⊆ Out C22xC3:S348(C2^2xC3:S3).7C6432,654
(C22xC3:S3).8C6 = C2xC6xC32:C4φ: C6/C3 → C2 ⊆ Out C22xC3:S348(C2^2xC3:S3).8C6432,765
(C22xC3:S3).9C6 = C3:S3xC2xC12φ: trivial image144(C2^2xC3:S3).9C6432,711

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