Extensions 1→N→G→Q→1 with N=D4×C14 and Q=C2

Direct product G=N×Q with N=D4×C14 and Q=C2
dρLabelID
D4×C2×C14112D4xC2xC14224,190

Semidirect products G=N:Q with N=D4×C14 and Q=C2
extensionφ:Q→Out NdρLabelID
(D4×C14)⋊1C2 = C2×D4⋊D7φ: C2/C1C2 ⊆ Out D4×C14112(D4xC14):1C2224,126
(D4×C14)⋊2C2 = D4.D14φ: C2/C1C2 ⊆ Out D4×C14564(D4xC14):2C2224,127
(D4×C14)⋊3C2 = C282D4φ: C2/C1C2 ⊆ Out D4×C14112(D4xC14):3C2224,133
(D4×C14)⋊4C2 = C28⋊D4φ: C2/C1C2 ⊆ Out D4×C14112(D4xC14):4C2224,135
(D4×C14)⋊5C2 = C2×D4×D7φ: C2/C1C2 ⊆ Out D4×C1456(D4xC14):5C2224,178
(D4×C14)⋊6C2 = C2×D42D7φ: C2/C1C2 ⊆ Out D4×C14112(D4xC14):6C2224,179
(D4×C14)⋊7C2 = D46D14φ: C2/C1C2 ⊆ Out D4×C14564(D4xC14):7C2224,180
(D4×C14)⋊8C2 = C23⋊D14φ: C2/C1C2 ⊆ Out D4×C1456(D4xC14):8C2224,132
(D4×C14)⋊9C2 = Dic7⋊D4φ: C2/C1C2 ⊆ Out D4×C14112(D4xC14):9C2224,134
(D4×C14)⋊10C2 = C7×C22≀C2φ: C2/C1C2 ⊆ Out D4×C1456(D4xC14):10C2224,155
(D4×C14)⋊11C2 = C7×C4⋊D4φ: C2/C1C2 ⊆ Out D4×C14112(D4xC14):11C2224,156
(D4×C14)⋊12C2 = C7×C41D4φ: C2/C1C2 ⊆ Out D4×C14112(D4xC14):12C2224,162
(D4×C14)⋊13C2 = C14×D8φ: C2/C1C2 ⊆ Out D4×C14112(D4xC14):13C2224,167
(D4×C14)⋊14C2 = C7×C8⋊C22φ: C2/C1C2 ⊆ Out D4×C14564(D4xC14):14C2224,171
(D4×C14)⋊15C2 = C7×2+ 1+4φ: C2/C1C2 ⊆ Out D4×C14564(D4xC14):15C2224,193
(D4×C14)⋊16C2 = C14×C4○D4φ: trivial image112(D4xC14):16C2224,192

Non-split extensions G=N.Q with N=D4×C14 and Q=C2
extensionφ:Q→Out NdρLabelID
(D4×C14).1C2 = D4⋊Dic7φ: C2/C1C2 ⊆ Out D4×C14112(D4xC14).1C2224,38
(D4×C14).2C2 = C28.D4φ: C2/C1C2 ⊆ Out D4×C14564(D4xC14).2C2224,39
(D4×C14).3C2 = C2×D4.D7φ: C2/C1C2 ⊆ Out D4×C14112(D4xC14).3C2224,128
(D4×C14).4C2 = D4×Dic7φ: C2/C1C2 ⊆ Out D4×C14112(D4xC14).4C2224,129
(D4×C14).5C2 = C28.17D4φ: C2/C1C2 ⊆ Out D4×C14112(D4xC14).5C2224,131
(D4×C14).6C2 = C23⋊Dic7φ: C2/C1C2 ⊆ Out D4×C14564(D4xC14).6C2224,40
(D4×C14).7C2 = C7×C23⋊C4φ: C2/C1C2 ⊆ Out D4×C14564(D4xC14).7C2224,48
(D4×C14).8C2 = C7×C4.D4φ: C2/C1C2 ⊆ Out D4×C14564(D4xC14).8C2224,49
(D4×C14).9C2 = C7×D4⋊C4φ: C2/C1C2 ⊆ Out D4×C14112(D4xC14).9C2224,51
(D4×C14).10C2 = C23.18D14φ: C2/C1C2 ⊆ Out D4×C14112(D4xC14).10C2224,130
(D4×C14).11C2 = C7×C22.D4φ: C2/C1C2 ⊆ Out D4×C14112(D4xC14).11C2224,158
(D4×C14).12C2 = C7×C4.4D4φ: C2/C1C2 ⊆ Out D4×C14112(D4xC14).12C2224,159
(D4×C14).13C2 = C14×SD16φ: C2/C1C2 ⊆ Out D4×C14112(D4xC14).13C2224,168
(D4×C14).14C2 = D4×C28φ: trivial image112(D4xC14).14C2224,153

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