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Extensions 1→N→G→Q→1 with N=C14 and Q=C8:C4

Direct product G=NxQ with N=C14 and Q=C8:C4
dρLabelID
C14xC8:C4448C14xC8:C4448,811

Semidirect products G=N:Q with N=C14 and Q=C8:C4
extensionφ:Q→Aut NdρLabelID
C14:1(C8:C4) = C2xC42.D7φ: C8:C4/C42 → C2 ⊆ Aut C14448C14:1(C8:C4)448,455
C14:2(C8:C4) = C2xC56:C4φ: C8:C4/C2xC8 → C2 ⊆ Aut C14448C14:2(C8:C4)448,634

Non-split extensions G=N.Q with N=C14 and Q=C8:C4
extensionφ:Q→Aut NdρLabelID
C14.1(C8:C4) = C42.279D14φ: C8:C4/C42 → C2 ⊆ Aut C14448C14.1(C8:C4)448,11
C14.2(C8:C4) = C28.15C42φ: C8:C4/C42 → C2 ⊆ Aut C141124C14.2(C8:C4)448,23
C14.3(C8:C4) = (C2xC28):3C8φ: C8:C4/C42 → C2 ⊆ Aut C14448C14.3(C8:C4)448,81
C14.4(C8:C4) = C56:C8φ: C8:C4/C2xC8 → C2 ⊆ Aut C14448C14.4(C8:C4)448,12
C14.5(C8:C4) = C112:C4φ: C8:C4/C2xC8 → C2 ⊆ Aut C141124C14.5(C8:C4)448,69
C14.6(C8:C4) = (C2xC56):5C4φ: C8:C4/C2xC8 → C2 ⊆ Aut C14448C14.6(C8:C4)448,107
C14.7(C8:C4) = C7xC8:C8central extension (φ=1)448C14.7(C8:C4)448,126
C14.8(C8:C4) = C7xC22.7C42central extension (φ=1)448C14.8(C8:C4)448,140
C14.9(C8:C4) = C7xC16:C4central extension (φ=1)1124C14.9(C8:C4)448,151

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