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Extensions 1→N→G→Q→1 with N=C7:C8 and Q=C6

Direct product G=NxQ with N=C7:C8 and Q=C6
dρLabelID
C6xC7:C8336C6xC7:C8336,63

Semidirect products G=N:Q with N=C7:C8 and Q=C6
extensionφ:Q→Out NdρLabelID
C7:C8:1C6 = D4:F7φ: C6/C1 → C6 ⊆ Out C7:C85612+C7:C8:1C6336,18
C7:C8:2C6 = D4.F7φ: C6/C1 → C6 ⊆ Out C7:C85612-C7:C8:2C6336,19
C7:C8:3C6 = Q8:2F7φ: C6/C1 → C6 ⊆ Out C7:C85612+C7:C8:3C6336,20
C7:C8:4C6 = C8:F7φ: C6/C1 → C6 ⊆ Out C7:C8566C7:C8:4C6336,8
C7:C8:5C6 = C28.C12φ: C6/C1 → C6 ⊆ Out C7:C8566C7:C8:5C6336,13
C7:C8:6C6 = C8xF7φ: C6/C2 → C3 ⊆ Out C7:C8566C7:C8:6C6336,7
C7:C8:7C6 = C2xC7:C24φ: C6/C2 → C3 ⊆ Out C7:C8112C7:C8:7C6336,12
C7:C8:8C6 = C3xD4:D7φ: C6/C3 → C2 ⊆ Out C7:C81684C7:C8:8C6336,69
C7:C8:9C6 = C3xD4.D7φ: C6/C3 → C2 ⊆ Out C7:C81684C7:C8:9C6336,70
C7:C8:10C6 = C3xQ8:D7φ: C6/C3 → C2 ⊆ Out C7:C81684C7:C8:10C6336,71
C7:C8:11C6 = C3xC8:D7φ: C6/C3 → C2 ⊆ Out C7:C81682C7:C8:11C6336,59
C7:C8:12C6 = C3xC4.Dic7φ: C6/C3 → C2 ⊆ Out C7:C81682C7:C8:12C6336,64
C7:C8:13C6 = D7xC24φ: trivial image1682C7:C8:13C6336,58

Non-split extensions G=N.Q with N=C7:C8 and Q=C6
extensionφ:Q→Out NdρLabelID
C7:C8.C6 = Q8.2F7φ: C6/C1 → C6 ⊆ Out C7:C811212-C7:C8.C6336,21
C7:C8.2C6 = C3xC7:Q16φ: C6/C3 → C2 ⊆ Out C7:C83364C7:C8.2C6336,72

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