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Extensions 1→N→G→Q→1 with N=C3:Dic3 and Q=Dic3

Direct product G=NxQ with N=C3:Dic3 and Q=Dic3
dρLabelID
Dic3xC3:Dic3144Dic3xC3:Dic3432,448

Semidirect products G=N:Q with N=C3:Dic3 and Q=Dic3
extensionφ:Q→Out NdρLabelID
C3:Dic3:1Dic3 = He3:C42φ: Dic3/C2 → S3 ⊆ Out C3:Dic3144C3:Dic3:1Dic3432,94
C3:Dic3:2Dic3 = C62.D6φ: Dic3/C2 → S3 ⊆ Out C3:Dic3144C3:Dic3:2Dic3432,95
C3:Dic3:3Dic3 = C62.82D6φ: Dic3/C6 → C2 ⊆ Out C3:Dic3144C3:Dic3:3Dic3432,454
C3:Dic3:4Dic3 = C33:6C42φ: Dic3/C6 → C2 ⊆ Out C3:Dic348C3:Dic3:4Dic3432,460
C3:Dic3:5Dic3 = C62.85D6φ: Dic3/C6 → C2 ⊆ Out C3:Dic348C3:Dic3:5Dic3432,462
C3:Dic3:6Dic3 = C4xC33:C4φ: Dic3/C6 → C2 ⊆ Out C3:Dic3484C3:Dic3:6Dic3432,637
C3:Dic3:7Dic3 = C33:9(C4:C4)φ: Dic3/C6 → C2 ⊆ Out C3:Dic3484C3:Dic3:7Dic3432,638

Non-split extensions G=N.Q with N=C3:Dic3 and Q=Dic3
extensionφ:Q→Out NdρLabelID
C3:Dic3.1Dic3 = C32:C6:C8φ: Dic3/C2 → S3 ⊆ Out C3:Dic3726C3:Dic3.1Dic3432,76
C3:Dic3.2Dic3 = He3:M4(2)φ: Dic3/C2 → S3 ⊆ Out C3:Dic3726C3:Dic3.2Dic3432,77
C3:Dic3.3Dic3 = C6.F9φ: Dic3/C3 → C4 ⊆ Out C3:Dic3488C3:Dic3.3Dic3432,566
C3:Dic3.4Dic3 = C33:8M4(2)φ: Dic3/C6 → C2 ⊆ Out C3:Dic3144C3:Dic3.4Dic3432,434
C3:Dic3.5Dic3 = C12.93S32φ: Dic3/C6 → C2 ⊆ Out C3:Dic3484C3:Dic3.5Dic3432,455
C3:Dic3.6Dic3 = C33:10M4(2)φ: Dic3/C6 → C2 ⊆ Out C3:Dic3484C3:Dic3.6Dic3432,456
C3:Dic3.7Dic3 = C2xC33:4C8φ: Dic3/C6 → C2 ⊆ Out C3:Dic348C3:Dic3.7Dic3432,639
C3:Dic3.8Dic3 = C33:12M4(2)φ: Dic3/C6 → C2 ⊆ Out C3:Dic3244C3:Dic3.8Dic3432,640
C3:Dic3.9Dic3 = C3:S3xC3:C8φ: trivial image144C3:Dic3.9Dic3432,431

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