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Extensions 1→N→G→Q→1 with N=C4:C4 and Q=C14

Direct product G=NxQ with N=C4:C4 and Q=C14
dρLabelID
C14xC4:C4224C14xC4:C4224,151

Semidirect products G=N:Q with N=C4:C4 and Q=C14
extensionφ:Q→Out NdρLabelID
C4:C4:1C14 = C7xD4:C4φ: C14/C7 → C2 ⊆ Out C4:C4112C4:C4:1C14224,51
C4:C4:2C14 = C7xC4:D4φ: C14/C7 → C2 ⊆ Out C4:C4112C4:C4:2C14224,156
C4:C4:3C14 = C7xC22:Q8φ: C14/C7 → C2 ⊆ Out C4:C4112C4:C4:3C14224,157
C4:C4:4C14 = C7xC22.D4φ: C14/C7 → C2 ⊆ Out C4:C4112C4:C4:4C14224,158
C4:C4:5C14 = C7xC42:2C2φ: C14/C7 → C2 ⊆ Out C4:C4112C4:C4:5C14224,161
C4:C4:6C14 = C7xC42:C2φ: trivial image112C4:C4:6C14224,152
C4:C4:7C14 = D4xC28φ: trivial image112C4:C4:7C14224,153

Non-split extensions G=N.Q with N=C4:C4 and Q=C14
extensionφ:Q→Out NdρLabelID
C4:C4.1C14 = C7xQ8:C4φ: C14/C7 → C2 ⊆ Out C4:C4224C4:C4.1C14224,52
C4:C4.2C14 = C7xC4.Q8φ: C14/C7 → C2 ⊆ Out C4:C4224C4:C4.2C14224,55
C4:C4.3C14 = C7xC2.D8φ: C14/C7 → C2 ⊆ Out C4:C4224C4:C4.3C14224,56
C4:C4.4C14 = C7xC42.C2φ: C14/C7 → C2 ⊆ Out C4:C4224C4:C4.4C14224,160
C4:C4.5C14 = C7xC4:Q8φ: C14/C7 → C2 ⊆ Out C4:C4224C4:C4.5C14224,163
C4:C4.6C14 = Q8xC28φ: trivial image224C4:C4.6C14224,154

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