# Extensions 1→N→G→Q→1 with N=C22×C14 and Q=Q8

Direct product G=N×Q with N=C22×C14 and Q=Q8
dρLabelID
Q8×C22×C14448Q8xC2^2xC14448,1387

Semidirect products G=N:Q with N=C22×C14 and Q=Q8
extensionφ:Q→Aut NdρLabelID
(C22×C14)⋊1Q8 = C7×C23⋊Q8φ: Q8/C2C22 ⊆ Aut C22×C14224(C2^2xC14):1Q8448,801
(C22×C14)⋊2Q8 = C7×C232Q8φ: Q8/C2C22 ⊆ Aut C22×C14112(C2^2xC14):2Q8448,1326
(C22×C14)⋊3Q8 = C23⋊Dic14φ: Q8/C2C22 ⊆ Aut C22×C14224(C2^2xC14):3Q8448,481
(C22×C14)⋊4Q8 = C2×C22⋊Dic14φ: Q8/C2C22 ⊆ Aut C22×C14224(C2^2xC14):4Q8448,934
(C22×C14)⋊5Q8 = C232Dic14φ: Q8/C2C22 ⊆ Aut C22×C14112(C2^2xC14):5Q8448,936
(C22×C14)⋊6Q8 = C14×C22⋊Q8φ: Q8/C4C2 ⊆ Aut C22×C14224(C2^2xC14):6Q8448,1306
(C22×C14)⋊7Q8 = C2×C28.48D4φ: Q8/C4C2 ⊆ Aut C22×C14224(C2^2xC14):7Q8448,1237
(C22×C14)⋊8Q8 = C23×Dic14φ: Q8/C4C2 ⊆ Aut C22×C14448(C2^2xC14):8Q8448,1365

Non-split extensions G=N.Q with N=C22×C14 and Q=Q8
extensionφ:Q→Aut NdρLabelID
(C22×C14).1Q8 = C7×C4.10C42φ: Q8/C2C22 ⊆ Aut C22×C141124(C2^2xC14).1Q8448,142
(C22×C14).2Q8 = C7×C23.9D4φ: Q8/C2C22 ⊆ Aut C22×C14112(C2^2xC14).2Q8448,146
(C22×C14).3Q8 = C7×C23.Q8φ: Q8/C2C22 ⊆ Aut C22×C14224(C2^2xC14).3Q8448,804
(C22×C14).4Q8 = C7×C23.4Q8φ: Q8/C2C22 ⊆ Aut C22×C14224(C2^2xC14).4Q8448,807
(C22×C14).5Q8 = C7×M4(2).C4φ: Q8/C2C22 ⊆ Aut C22×C141124(C2^2xC14).5Q8448,838
(C22×C14).6Q8 = C24.D14φ: Q8/C2C22 ⊆ Aut C22×C14112(C2^2xC14).6Q8448,83
(C22×C14).7Q8 = C24.2D14φ: Q8/C2C22 ⊆ Aut C22×C14112(C2^2xC14).7Q8448,84
(C22×C14).8Q8 = C28.4C42φ: Q8/C2C22 ⊆ Aut C22×C14224(C2^2xC14).8Q8448,115
(C22×C14).9Q8 = C28.21C42φ: Q8/C2C22 ⊆ Aut C22×C141124(C2^2xC14).9Q8448,117
(C22×C14).10Q8 = C24.44D14φ: Q8/C2C22 ⊆ Aut C22×C14224(C2^2xC14).10Q8448,476
(C22×C14).11Q8 = C24.46D14φ: Q8/C2C22 ⊆ Aut C22×C14224(C2^2xC14).11Q8448,480
(C22×C14).12Q8 = C24.6D14φ: Q8/C2C22 ⊆ Aut C22×C14224(C2^2xC14).12Q8448,482
(C22×C14).13Q8 = C24.7D14φ: Q8/C2C22 ⊆ Aut C22×C14224(C2^2xC14).13Q8448,483
(C22×C14).14Q8 = C24.47D14φ: Q8/C2C22 ⊆ Aut C22×C14224(C2^2xC14).14Q8448,484
(C22×C14).15Q8 = C2×C28.53D4φ: Q8/C2C22 ⊆ Aut C22×C14224(C2^2xC14).15Q8448,657
(C22×C14).16Q8 = C23.Dic14φ: Q8/C2C22 ⊆ Aut C22×C141124(C2^2xC14).16Q8448,658
(C22×C14).17Q8 = M4(2).Dic7φ: Q8/C2C22 ⊆ Aut C22×C141124(C2^2xC14).17Q8448,659
(C22×C14).18Q8 = C7×C4.C42φ: Q8/C4C2 ⊆ Aut C22×C14224(C2^2xC14).18Q8448,145
(C22×C14).19Q8 = C7×C23.7Q8φ: Q8/C4C2 ⊆ Aut C22×C14224(C2^2xC14).19Q8448,788
(C22×C14).20Q8 = C7×C23.8Q8φ: Q8/C4C2 ⊆ Aut C22×C14224(C2^2xC14).20Q8448,793
(C22×C14).21Q8 = C14×C8.C4φ: Q8/C4C2 ⊆ Aut C22×C14224(C2^2xC14).21Q8448,837
(C22×C14).22Q8 = C28.10C42φ: Q8/C4C2 ⊆ Aut C22×C14224(C2^2xC14).22Q8448,109
(C22×C14).23Q8 = C2×C56.C4φ: Q8/C4C2 ⊆ Aut C22×C14224(C2^2xC14).23Q8448,641
(C22×C14).24Q8 = C2×C14.C42φ: Q8/C4C2 ⊆ Aut C22×C14448(C2^2xC14).24Q8448,742
(C22×C14).25Q8 = C24.62D14φ: Q8/C4C2 ⊆ Aut C22×C14224(C2^2xC14).25Q8448,744
(C22×C14).26Q8 = C23.27D28φ: Q8/C4C2 ⊆ Aut C22×C14224(C2^2xC14).26Q8448,746
(C22×C14).27Q8 = C22×Dic7⋊C4φ: Q8/C4C2 ⊆ Aut C22×C14448(C2^2xC14).27Q8448,1236
(C22×C14).28Q8 = C22×C4⋊Dic7φ: Q8/C4C2 ⊆ Aut C22×C14448(C2^2xC14).28Q8448,1238
(C22×C14).29Q8 = C14×C2.C42central extension (φ=1)448(C2^2xC14).29Q8448,783
(C22×C14).30Q8 = C4⋊C4×C2×C14central extension (φ=1)448(C2^2xC14).30Q8448,1296

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