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Extensions 1→N→G→Q→1 with N=C2xC6xC3:S3 and Q=C2

Direct product G=NxQ with N=C2xC6xC3:S3 and Q=C2
dρLabelID
C3:S3xC22xC6144C3:S3xC2^2xC6432,773

Semidirect products G=N:Q with N=C2xC6xC3:S3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2xC6xC3:S3):1C2 = C6xC3:D12φ: C2/C1 → C2 ⊆ Out C2xC6xC3:S348(C2xC6xC3:S3):1C2432,656
(C2xC6xC3:S3):2C2 = C3xDic3:D6φ: C2/C1 → C2 ⊆ Out C2xC6xC3:S3244(C2xC6xC3:S3):2C2432,659
(C2xC6xC3:S3):3C2 = C2xC33:6D4φ: C2/C1 → C2 ⊆ Out C2xC6xC3:S3144(C2xC6xC3:S3):3C2432,680
(C2xC6xC3:S3):4C2 = C2xC33:8D4φ: C2/C1 → C2 ⊆ Out C2xC6xC3:S372(C2xC6xC3:S3):4C2432,682
(C2xC6xC3:S3):5C2 = C3:S3xC3:D4φ: C2/C1 → C2 ⊆ Out C2xC6xC3:S372(C2xC6xC3:S3):5C2432,685
(C2xC6xC3:S3):6C2 = C2xC33:9D4φ: C2/C1 → C2 ⊆ Out C2xC6xC3:S348(C2xC6xC3:S3):6C2432,694
(C2xC6xC3:S3):7C2 = C62:24D6φ: C2/C1 → C2 ⊆ Out C2xC6xC3:S3244(C2xC6xC3:S3):7C2432,696
(C2xC6xC3:S3):8C2 = C6xC12:S3φ: C2/C1 → C2 ⊆ Out C2xC6xC3:S3144(C2xC6xC3:S3):8C2432,712
(C2xC6xC3:S3):9C2 = C3xD4xC3:S3φ: C2/C1 → C2 ⊆ Out C2xC6xC3:S372(C2xC6xC3:S3):9C2432,714
(C2xC6xC3:S3):10C2 = C6xC32:7D4φ: C2/C1 → C2 ⊆ Out C2xC6xC3:S372(C2xC6xC3:S3):10C2432,719
(C2xC6xC3:S3):11C2 = S32xC2xC6φ: C2/C1 → C2 ⊆ Out C2xC6xC3:S348(C2xC6xC3:S3):11C2432,767
(C2xC6xC3:S3):12C2 = C22xS3xC3:S3φ: C2/C1 → C2 ⊆ Out C2xC6xC3:S372(C2xC6xC3:S3):12C2432,768
(C2xC6xC3:S3):13C2 = C22xC32:4D6φ: C2/C1 → C2 ⊆ Out C2xC6xC3:S348(C2xC6xC3:S3):13C2432,769

Non-split extensions G=N.Q with N=C2xC6xC3:S3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2xC6xC3:S3).1C2 = C3xC6.D12φ: C2/C1 → C2 ⊆ Out C2xC6xC3:S348(C2xC6xC3:S3).1C2432,427
(C2xC6xC3:S3).2C2 = C62.78D6φ: C2/C1 → C2 ⊆ Out C2xC6xC3:S3144(C2xC6xC3:S3).2C2432,450
(C2xC6xC3:S3).3C2 = C62.84D6φ: C2/C1 → C2 ⊆ Out C2xC6xC3:S348(C2xC6xC3:S3).3C2432,461
(C2xC6xC3:S3).4C2 = C3xC6.11D12φ: C2/C1 → C2 ⊆ Out C2xC6xC3:S3144(C2xC6xC3:S3).4C2432,490
(C2xC6xC3:S3).5C2 = C3xC62:C4φ: C2/C1 → C2 ⊆ Out C2xC6xC3:S3244(C2xC6xC3:S3).5C2432,634
(C2xC6xC3:S3).6C2 = C62:11Dic3φ: C2/C1 → C2 ⊆ Out C2xC6xC3:S3244(C2xC6xC3:S3).6C2432,641
(C2xC6xC3:S3).7C2 = C6xC6.D6φ: C2/C1 → C2 ⊆ Out C2xC6xC3:S348(C2xC6xC3:S3).7C2432,654
(C2xC6xC3:S3).8C2 = C2xDic3xC3:S3φ: C2/C1 → C2 ⊆ Out C2xC6xC3:S3144(C2xC6xC3:S3).8C2432,677
(C2xC6xC3:S3).9C2 = C2xC33:9(C2xC4)φ: C2/C1 → C2 ⊆ Out C2xC6xC3:S348(C2xC6xC3:S3).9C2432,692
(C2xC6xC3:S3).10C2 = C2xC6xC32:C4φ: C2/C1 → C2 ⊆ Out C2xC6xC3:S348(C2xC6xC3:S3).10C2432,765
(C2xC6xC3:S3).11C2 = C22xC33:C4φ: C2/C1 → C2 ⊆ Out C2xC6xC3:S348(C2xC6xC3:S3).11C2432,766
(C2xC6xC3:S3).12C2 = C3:S3xC2xC12φ: trivial image144(C2xC6xC3:S3).12C2432,711

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