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Extensions 1→N→G→Q→1 with N=C2×C14 and Q=C12

Direct product G=N×Q with N=C2×C14 and Q=C12
dρLabelID
C22×C84336C2^2xC84336,204

Semidirect products G=N:Q with N=C2×C14 and Q=C12
extensionφ:Q→Aut NdρLabelID
(C2×C14)⋊1C12 = A4×Dic7φ: C12/C2 → C6 ⊆ Aut C2×C14846-(C2xC14):1C12336,133
(C2×C14)⋊2C12 = Dic7⋊A4φ: C12/C2 → C6 ⊆ Aut C2×C14846-(C2xC14):2C12336,136
(C2×C14)⋊3C12 = C23.2F7φ: C12/C2 → C6 ⊆ Aut C2×C1456(C2xC14):3C12336,22
(C2×C14)⋊4C12 = C22×C7⋊C12φ: C12/C2 → C6 ⊆ Aut C2×C14112(C2xC14):4C12336,129
(C2×C14)⋊5C12 = C22⋊C4×C7⋊C3φ: C12/C2 → C6 ⊆ Aut C2×C1456(C2xC14):5C12336,49
(C2×C14)⋊6C12 = A4×C28φ: C12/C4 → C3 ⊆ Aut C2×C14843(C2xC14):6C12336,168
(C2×C14)⋊7C12 = C4×C7⋊A4φ: C12/C4 → C3 ⊆ Aut C2×C14843(C2xC14):7C12336,171
(C2×C14)⋊8C12 = C22×C4×C7⋊C3φ: C12/C4 → C3 ⊆ Aut C2×C14112(C2xC14):8C12336,164
(C2×C14)⋊9C12 = C22⋊C4×C21φ: C12/C6 → C2 ⊆ Aut C2×C14168(C2xC14):9C12336,107
(C2×C14)⋊10C12 = C3×C23.D7φ: C12/C6 → C2 ⊆ Aut C2×C14168(C2xC14):10C12336,73
(C2×C14)⋊11C12 = C2×C6×Dic7φ: C12/C6 → C2 ⊆ Aut C2×C14336(C2xC14):11C12336,182

Non-split extensions G=N.Q with N=C2×C14 and Q=C12
extensionφ:Q→Aut NdρLabelID
(C2×C14).1C12 = C2×C7⋊C24φ: C12/C2 → C6 ⊆ Aut C2×C14112(C2xC14).1C12336,12
(C2×C14).2C12 = C28.C12φ: C12/C2 → C6 ⊆ Aut C2×C14566(C2xC14).2C12336,13
(C2×C14).3C12 = M4(2)×C7⋊C3φ: C12/C2 → C6 ⊆ Aut C2×C14566(C2xC14).3C12336,52
(C2×C14).4C12 = C2×C8×C7⋊C3φ: C12/C4 → C3 ⊆ Aut C2×C14112(C2xC14).4C12336,51
(C2×C14).5C12 = M4(2)×C21φ: C12/C6 → C2 ⊆ Aut C2×C141682(C2xC14).5C12336,110
(C2×C14).6C12 = C6×C7⋊C8φ: C12/C6 → C2 ⊆ Aut C2×C14336(C2xC14).6C12336,63
(C2×C14).7C12 = C3×C4.Dic7φ: C12/C6 → C2 ⊆ Aut C2×C141682(C2xC14).7C12336,64

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