# Extensions 1→N→G→Q→1 with N=C2×C42 and Q=C14

Direct product G=N×Q with N=C2×C42 and Q=C14
dρLabelID
C22×C4×C28448C2^2xC4xC28448,1294

Semidirect products G=N:Q with N=C2×C42 and Q=C14
extensionφ:Q→Aut NdρLabelID
(C2×C42)⋊1C14 = C22⋊C4×C28φ: C14/C7C2 ⊆ Aut C2×C42224(C2xC4^2):1C14448,785
(C2×C42)⋊2C14 = C7×C24.C22φ: C14/C7C2 ⊆ Aut C2×C42224(C2xC4^2):2C14448,796
(C2×C42)⋊3C14 = C14×C42⋊C2φ: C14/C7C2 ⊆ Aut C2×C42224(C2xC4^2):3C14448,1297
(C2×C42)⋊4C14 = C14×C422C2φ: C14/C7C2 ⊆ Aut C2×C42224(C2xC4^2):4C14448,1311
(C2×C42)⋊5C14 = C7×C24.3C22φ: C14/C7C2 ⊆ Aut C2×C42224(C2xC4^2):5C14448,798
(C2×C42)⋊6C14 = C14×C4≀C2φ: C14/C7C2 ⊆ Aut C2×C42112(C2xC4^2):6C14448,828
(C2×C42)⋊7C14 = D4×C2×C28φ: C14/C7C2 ⊆ Aut C2×C42224(C2xC4^2):7C14448,1298
(C2×C42)⋊8C14 = C4○D4×C28φ: C14/C7C2 ⊆ Aut C2×C42224(C2xC4^2):8C14448,1300
(C2×C42)⋊9C14 = C14×C4.4D4φ: C14/C7C2 ⊆ Aut C2×C42224(C2xC4^2):9C14448,1309
(C2×C42)⋊10C14 = C7×C23.36C23φ: C14/C7C2 ⊆ Aut C2×C42224(C2xC4^2):10C14448,1312
(C2×C42)⋊11C14 = C14×C41D4φ: C14/C7C2 ⊆ Aut C2×C42224(C2xC4^2):11C14448,1313
(C2×C42)⋊12C14 = C7×C22.26C24φ: C14/C7C2 ⊆ Aut C2×C42224(C2xC4^2):12C14448,1315

Non-split extensions G=N.Q with N=C2×C42 and Q=C14
extensionφ:Q→Aut NdρLabelID
(C2×C42).1C14 = C7×C22.7C42φ: C14/C7C2 ⊆ Aut C2×C42448(C2xC4^2).1C14448,140
(C2×C42).2C14 = C7×C424C4φ: C14/C7C2 ⊆ Aut C2×C42448(C2xC4^2).2C14448,784
(C2×C42).3C14 = C4⋊C4×C28φ: C14/C7C2 ⊆ Aut C2×C42448(C2xC4^2).3C14448,786
(C2×C42).4C14 = C7×C425C4φ: C14/C7C2 ⊆ Aut C2×C42448(C2xC4^2).4C14448,791
(C2×C42).5C14 = C7×C23.63C23φ: C14/C7C2 ⊆ Aut C2×C42448(C2xC4^2).5C14448,795
(C2×C42).6C14 = C14×C8⋊C4φ: C14/C7C2 ⊆ Aut C2×C42448(C2xC4^2).6C14448,811
(C2×C42).7C14 = C7×C426C4φ: C14/C7C2 ⊆ Aut C2×C42112(C2xC4^2).7C14448,143
(C2×C42).8C14 = C7×C428C4φ: C14/C7C2 ⊆ Aut C2×C42448(C2xC4^2).8C14448,790
(C2×C42).9C14 = C7×C429C4φ: C14/C7C2 ⊆ Aut C2×C42448(C2xC4^2).9C14448,792
(C2×C42).10C14 = C7×C23.65C23φ: C14/C7C2 ⊆ Aut C2×C42448(C2xC4^2).10C14448,797
(C2×C42).11C14 = C7×C23.67C23φ: C14/C7C2 ⊆ Aut C2×C42448(C2xC4^2).11C14448,799
(C2×C42).12C14 = M4(2)×C28φ: C14/C7C2 ⊆ Aut C2×C42224(C2xC4^2).12C14448,812
(C2×C42).13C14 = C14×C4⋊C8φ: C14/C7C2 ⊆ Aut C2×C42448(C2xC4^2).13C14448,830
(C2×C42).14C14 = C7×C4⋊M4(2)φ: C14/C7C2 ⊆ Aut C2×C42224(C2xC4^2).14C14448,831
(C2×C42).15C14 = C7×C42.12C4φ: C14/C7C2 ⊆ Aut C2×C42224(C2xC4^2).15C14448,839
(C2×C42).16C14 = C7×C42.6C4φ: C14/C7C2 ⊆ Aut C2×C42224(C2xC4^2).16C14448,840
(C2×C42).17C14 = Q8×C2×C28φ: C14/C7C2 ⊆ Aut C2×C42448(C2xC4^2).17C14448,1299
(C2×C42).18C14 = C14×C42.C2φ: C14/C7C2 ⊆ Aut C2×C42448(C2xC4^2).18C14448,1310
(C2×C42).19C14 = C14×C4⋊Q8φ: C14/C7C2 ⊆ Aut C2×C42448(C2xC4^2).19C14448,1314
(C2×C42).20C14 = C7×C23.37C23φ: C14/C7C2 ⊆ Aut C2×C42224(C2xC4^2).20C14448,1316

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