# Extensions 1→N→G→Q→1 with N=C23×C4 and Q=C14

Direct product G=N×Q with N=C23×C4 and Q=C14
dρLabelID
C24×C28448C2^4xC28448,1385

Semidirect products G=N:Q with N=C23×C4 and Q=C14
extensionφ:Q→Aut NdρLabelID
(C23×C4)⋊C14 = D4×F8φ: C14/C1C14 ⊆ Aut C23×C42814+(C2^3xC4):C14448,1363
(C23×C4)⋊2C14 = C2×C4×F8φ: C14/C2C7 ⊆ Aut C23×C456(C2^3xC4):2C14448,1362
(C23×C4)⋊3C14 = C7×C23.23D4φ: C14/C7C2 ⊆ Aut C23×C4224(C2^3xC4):3C14448,794
(C23×C4)⋊4C14 = C22⋊C4×C2×C14φ: C14/C7C2 ⊆ Aut C23×C4224(C2^3xC4):4C14448,1295
(C23×C4)⋊5C14 = D4×C2×C28φ: C14/C7C2 ⊆ Aut C23×C4224(C2^3xC4):5C14448,1298
(C23×C4)⋊6C14 = C14×C22.D4φ: C14/C7C2 ⊆ Aut C23×C4224(C2^3xC4):6C14448,1307
(C23×C4)⋊7C14 = C14×C4⋊D4φ: C14/C7C2 ⊆ Aut C23×C4224(C2^3xC4):7C14448,1305
(C23×C4)⋊8C14 = C7×C22.19C24φ: C14/C7C2 ⊆ Aut C23×C4112(C2^3xC4):8C14448,1308
(C23×C4)⋊9C14 = D4×C22×C14φ: C14/C7C2 ⊆ Aut C23×C4224(C2^3xC4):9C14448,1386
(C23×C4)⋊10C14 = C4○D4×C2×C14φ: C14/C7C2 ⊆ Aut C23×C4224(C2^3xC4):10C14448,1388

Non-split extensions G=N.Q with N=C23×C4 and Q=C14
extensionφ:Q→Aut NdρLabelID
(C23×C4).C14 = Q8×F8φ: C14/C1C14 ⊆ Aut C23×C45614-(C2^3xC4).C14448,1364
(C23×C4).2C14 = C8×F8φ: C14/C2C7 ⊆ Aut C23×C4567(C2^3xC4).2C14448,919
(C23×C4).3C14 = C14×C2.C42φ: C14/C7C2 ⊆ Aut C23×C4448(C2^3xC4).3C14448,783
(C23×C4).4C14 = C22⋊C4×C28φ: C14/C7C2 ⊆ Aut C23×C4224(C2^3xC4).4C14448,785
(C23×C4).5C14 = C7×C23.34D4φ: C14/C7C2 ⊆ Aut C23×C4224(C2^3xC4).5C14448,789
(C23×C4).6C14 = C7×C23.8Q8φ: C14/C7C2 ⊆ Aut C23×C4224(C2^3xC4).6C14448,793
(C23×C4).7C14 = C14×C22⋊C8φ: C14/C7C2 ⊆ Aut C23×C4224(C2^3xC4).7C14448,814
(C23×C4).8C14 = C4⋊C4×C2×C14φ: C14/C7C2 ⊆ Aut C23×C4448(C2^3xC4).8C14448,1296
(C23×C4).9C14 = C7×C23.7Q8φ: C14/C7C2 ⊆ Aut C23×C4224(C2^3xC4).9C14448,788
(C23×C4).10C14 = C7×C24.4C4φ: C14/C7C2 ⊆ Aut C23×C4112(C2^3xC4).10C14448,815
(C23×C4).11C14 = C14×C42⋊C2φ: C14/C7C2 ⊆ Aut C23×C4224(C2^3xC4).11C14448,1297
(C23×C4).12C14 = C14×C22⋊Q8φ: C14/C7C2 ⊆ Aut C23×C4224(C2^3xC4).12C14448,1306
(C23×C4).13C14 = M4(2)×C2×C14φ: C14/C7C2 ⊆ Aut C23×C4224(C2^3xC4).13C14448,1349
(C23×C4).14C14 = Q8×C22×C14φ: C14/C7C2 ⊆ Aut C23×C4448(C2^3xC4).14C14448,1387

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