# Extensions 1→N→G→Q→1 with N=C22×C14 and Q=C6

Direct product G=N×Q with N=C22×C14 and Q=C6
dρLabelID
C23×C42336C2^3xC42336,228

Semidirect products G=N:Q with N=C22×C14 and Q=C6
extensionφ:Q→Aut NdρLabelID
(C22×C14)⋊1C6 = C2×A4×D7φ: C6/C1C6 ⊆ Aut C22×C14426+(C2^2xC14):1C6336,217
(C22×C14)⋊2C6 = C2×Dic7⋊C6φ: C6/C1C6 ⊆ Aut C22×C1456(C2^2xC14):2C6336,130
(C22×C14)⋊3C6 = C23×F7φ: C6/C1C6 ⊆ Aut C22×C1456(C2^2xC14):3C6336,216
(C22×C14)⋊4C6 = C2×D7⋊A4φ: C6/C1C6 ⊆ Aut C22×C14426+(C2^2xC14):4C6336,218
(C22×C14)⋊5C6 = C2×D4×C7⋊C3φ: C6/C1C6 ⊆ Aut C22×C1456(C2^2xC14):5C6336,165
(C22×C14)⋊6C6 = A4×C2×C14φ: C6/C2C3 ⊆ Aut C22×C1484(C2^2xC14):6C6336,221
(C22×C14)⋊7C6 = C24×C7⋊C3φ: C6/C2C3 ⊆ Aut C22×C14112(C2^2xC14):7C6336,220
(C22×C14)⋊8C6 = C22×C7⋊A4φ: C6/C2C3 ⊆ Aut C22×C1484(C2^2xC14):8C6336,222
(C22×C14)⋊9C6 = D4×C42φ: C6/C3C2 ⊆ Aut C22×C14168(C2^2xC14):9C6336,205
(C22×C14)⋊10C6 = C6×C7⋊D4φ: C6/C3C2 ⊆ Aut C22×C14168(C2^2xC14):10C6336,183
(C22×C14)⋊11C6 = D7×C22×C6φ: C6/C3C2 ⊆ Aut C22×C14168(C2^2xC14):11C6336,225

Non-split extensions G=N.Q with N=C22×C14 and Q=C6
extensionφ:Q→Aut NdρLabelID
(C22×C14).1C6 = A4×Dic7φ: C6/C1C6 ⊆ Aut C22×C14846-(C2^2xC14).1C6336,133
(C22×C14).2C6 = C23.2F7φ: C6/C1C6 ⊆ Aut C22×C1456(C2^2xC14).2C6336,22
(C22×C14).3C6 = C22×C7⋊C12φ: C6/C1C6 ⊆ Aut C22×C14112(C2^2xC14).3C6336,129
(C22×C14).4C6 = Dic7⋊A4φ: C6/C1C6 ⊆ Aut C22×C14846-(C2^2xC14).4C6336,136
(C22×C14).5C6 = C22⋊C4×C7⋊C3φ: C6/C1C6 ⊆ Aut C22×C1456(C2^2xC14).5C6336,49
(C22×C14).6C6 = A4×C28φ: C6/C2C3 ⊆ Aut C22×C14843(C2^2xC14).6C6336,168
(C22×C14).7C6 = C22×C4×C7⋊C3φ: C6/C2C3 ⊆ Aut C22×C14112(C2^2xC14).7C6336,164
(C22×C14).8C6 = C4×C7⋊A4φ: C6/C2C3 ⊆ Aut C22×C14843(C2^2xC14).8C6336,171
(C22×C14).9C6 = C22⋊C4×C21φ: C6/C3C2 ⊆ Aut C22×C14168(C2^2xC14).9C6336,107
(C22×C14).10C6 = C3×C23.D7φ: C6/C3C2 ⊆ Aut C22×C14168(C2^2xC14).10C6336,73
(C22×C14).11C6 = C2×C6×Dic7φ: C6/C3C2 ⊆ Aut C22×C14336(C2^2xC14).11C6336,182

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