# Extensions 1→N→G→Q→1 with N=C14 and Q=C2×C8

Direct product G=N×Q with N=C14 and Q=C2×C8
dρLabelID
C22×C56224C2^2xC56224,164

Semidirect products G=N:Q with N=C14 and Q=C2×C8
extensionφ:Q→Aut NdρLabelID
C141(C2×C8) = D7×C2×C8φ: C2×C8/C8C2 ⊆ Aut C14112C14:1(C2xC8)224,94
C142(C2×C8) = C22×C7⋊C8φ: C2×C8/C2×C4C2 ⊆ Aut C14224C14:2(C2xC8)224,115

Non-split extensions G=N.Q with N=C14 and Q=C2×C8
extensionφ:Q→Aut NdρLabelID
C14.1(C2×C8) = D7×C16φ: C2×C8/C8C2 ⊆ Aut C141122C14.1(C2xC8)224,3
C14.2(C2×C8) = C16⋊D7φ: C2×C8/C8C2 ⊆ Aut C141122C14.2(C2xC8)224,4
C14.3(C2×C8) = C8×Dic7φ: C2×C8/C8C2 ⊆ Aut C14224C14.3(C2xC8)224,19
C14.4(C2×C8) = Dic7⋊C8φ: C2×C8/C8C2 ⊆ Aut C14224C14.4(C2xC8)224,20
C14.5(C2×C8) = D14⋊C8φ: C2×C8/C8C2 ⊆ Aut C14112C14.5(C2xC8)224,26
C14.6(C2×C8) = C4×C7⋊C8φ: C2×C8/C2×C4C2 ⊆ Aut C14224C14.6(C2xC8)224,8
C14.7(C2×C8) = C28⋊C8φ: C2×C8/C2×C4C2 ⊆ Aut C14224C14.7(C2xC8)224,10
C14.8(C2×C8) = C2×C7⋊C16φ: C2×C8/C2×C4C2 ⊆ Aut C14224C14.8(C2xC8)224,17
C14.9(C2×C8) = C28.C8φ: C2×C8/C2×C4C2 ⊆ Aut C141122C14.9(C2xC8)224,18
C14.10(C2×C8) = C28.55D4φ: C2×C8/C2×C4C2 ⊆ Aut C14112C14.10(C2xC8)224,36
C14.11(C2×C8) = C7×C22⋊C8central extension (φ=1)112C14.11(C2xC8)224,47
C14.12(C2×C8) = C7×C4⋊C8central extension (φ=1)224C14.12(C2xC8)224,54
C14.13(C2×C8) = C7×M5(2)central extension (φ=1)1122C14.13(C2xC8)224,59

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