Extensions 1→N→G→Q→1 with N=C3:C8 and Q=C6

Direct product G=NxQ with N=C3:C8 and Q=C6
dρLabelID
C6xC3:C848C6xC3:C8144,74

Semidirect products G=N:Q with N=C3:C8 and Q=C6
extensionφ:Q→Out NdρLabelID
C3:C8:1C6 = C3xD4:S3φ: C6/C3C2 ⊆ Out C3:C8244C3:C8:1C6144,80
C3:C8:2C6 = C3xD4.S3φ: C6/C3C2 ⊆ Out C3:C8244C3:C8:2C6144,81
C3:C8:3C6 = C3xQ8:2S3φ: C6/C3C2 ⊆ Out C3:C8484C3:C8:3C6144,82
C3:C8:4C6 = C3xC8:S3φ: C6/C3C2 ⊆ Out C3:C8482C3:C8:4C6144,70
C3:C8:5C6 = C3xC4.Dic3φ: C6/C3C2 ⊆ Out C3:C8242C3:C8:5C6144,75
C3:C8:6C6 = S3xC24φ: trivial image482C3:C8:6C6144,69

Non-split extensions G=N.Q with N=C3:C8 and Q=C6
extensionφ:Q→Out NdρLabelID
C3:C8.C6 = C3xC3:Q16φ: C6/C3C2 ⊆ Out C3:C8484C3:C8.C6144,83

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