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Extensions 1→N→G→Q→1 with N=C14 and Q=C2×C4

Direct product G=N×Q with N=C14 and Q=C2×C4
dρLabelID
C22×C28112C2^2xC28112,37

Semidirect products G=N:Q with N=C14 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
C14⋊1(C2×C4) = C2×C4×D7φ: C2×C4/C4 → C2 ⊆ Aut C1456C14:1(C2xC4)112,28
C14⋊2(C2×C4) = C22×Dic7φ: C2×C4/C22 → C2 ⊆ Aut C14112C14:2(C2xC4)112,35

Non-split extensions G=N.Q with N=C14 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
C14.1(C2×C4) = C8×D7φ: C2×C4/C4 → C2 ⊆ Aut C14562C14.1(C2xC4)112,3
C14.2(C2×C4) = C8⋊D7φ: C2×C4/C4 → C2 ⊆ Aut C14562C14.2(C2xC4)112,4
C14.3(C2×C4) = C4×Dic7φ: C2×C4/C4 → C2 ⊆ Aut C14112C14.3(C2xC4)112,10
C14.4(C2×C4) = Dic7⋊C4φ: C2×C4/C4 → C2 ⊆ Aut C14112C14.4(C2xC4)112,11
C14.5(C2×C4) = D14⋊C4φ: C2×C4/C4 → C2 ⊆ Aut C1456C14.5(C2xC4)112,13
C14.6(C2×C4) = C2×C7⋊C8φ: C2×C4/C22 → C2 ⊆ Aut C14112C14.6(C2xC4)112,8
C14.7(C2×C4) = C4.Dic7φ: C2×C4/C22 → C2 ⊆ Aut C14562C14.7(C2xC4)112,9
C14.8(C2×C4) = C4⋊Dic7φ: C2×C4/C22 → C2 ⊆ Aut C14112C14.8(C2xC4)112,12
C14.9(C2×C4) = C23.D7φ: C2×C4/C22 → C2 ⊆ Aut C1456C14.9(C2xC4)112,18
C14.10(C2×C4) = C7×C22⋊C4central extension (φ=1)56C14.10(C2xC4)112,20
C14.11(C2×C4) = C7×C4⋊C4central extension (φ=1)112C14.11(C2xC4)112,21
C14.12(C2×C4) = C7×M4(2)central extension (φ=1)562C14.12(C2xC4)112,23

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