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

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

Semidirect products G=N:Q with N=C14 and Q=C4:C4
extensionφ:Q→Aut NdρLabelID
C14:1(C4:C4) = C2xDic7:C4φ: C4:C4/C2xC4C2 ⊆ Aut C14224C14:1(C4:C4)224,118
C14:2(C4:C4) = C2xC4:Dic7φ: C4:C4/C2xC4C2 ⊆ Aut C14224C14:2(C4:C4)224,120

Non-split extensions G=N.Q with N=C14 and Q=C4:C4
extensionφ:Q→Aut NdρLabelID
C14.1(C4:C4) = C28:C8φ: C4:C4/C2xC4C2 ⊆ Aut C14224C14.1(C4:C4)224,10
C14.2(C4:C4) = C28.Q8φ: C4:C4/C2xC4C2 ⊆ Aut C14224C14.2(C4:C4)224,13
C14.3(C4:C4) = C4.Dic14φ: C4:C4/C2xC4C2 ⊆ Aut C14224C14.3(C4:C4)224,14
C14.4(C4:C4) = Dic7:C8φ: C4:C4/C2xC4C2 ⊆ Aut C14224C14.4(C4:C4)224,20
C14.5(C4:C4) = C8:Dic7φ: C4:C4/C2xC4C2 ⊆ Aut C14224C14.5(C4:C4)224,23
C14.6(C4:C4) = C56:1C4φ: C4:C4/C2xC4C2 ⊆ Aut C14224C14.6(C4:C4)224,24
C14.7(C4:C4) = C56.C4φ: C4:C4/C2xC4C2 ⊆ Aut C141122C14.7(C4:C4)224,25
C14.8(C4:C4) = C28.53D4φ: C4:C4/C2xC4C2 ⊆ Aut C141124C14.8(C4:C4)224,28
C14.9(C4:C4) = C14.C42φ: C4:C4/C2xC4C2 ⊆ Aut C14224C14.9(C4:C4)224,37
C14.10(C4:C4) = C7xC2.C42central extension (φ=1)224C14.10(C4:C4)224,44
C14.11(C4:C4) = C7xC4:C8central extension (φ=1)224C14.11(C4:C4)224,54
C14.12(C4:C4) = C7xC4.Q8central extension (φ=1)224C14.12(C4:C4)224,55
C14.13(C4:C4) = C7xC2.D8central extension (φ=1)224C14.13(C4:C4)224,56
C14.14(C4:C4) = C7xC8.C4central extension (φ=1)1122C14.14(C4:C4)224,57

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