Extensions 1→N→G→Q→1 with N=C2xC7:C8 and Q=C2

Direct product G=NxQ with N=C2xC7:C8 and Q=C2
dρLabelID
C22xC7:C8224C2^2xC7:C8224,115

Semidirect products G=N:Q with N=C2xC7:C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2xC7:C8):1C2 = C14.D8φ: C2/C1C2 ⊆ Out C2xC7:C8112(C2xC7:C8):1C2224,15
(C2xC7:C8):2C2 = D4:Dic7φ: C2/C1C2 ⊆ Out C2xC7:C8112(C2xC7:C8):2C2224,38
(C2xC7:C8):3C2 = D28.C4φ: C2/C1C2 ⊆ Out C2xC7:C81124(C2xC7:C8):3C2224,102
(C2xC7:C8):4C2 = C2xD4:D7φ: C2/C1C2 ⊆ Out C2xC7:C8112(C2xC7:C8):4C2224,126
(C2xC7:C8):5C2 = C2xD4.D7φ: C2/C1C2 ⊆ Out C2xC7:C8112(C2xC7:C8):5C2224,128
(C2xC7:C8):6C2 = C2xQ8:D7φ: C2/C1C2 ⊆ Out C2xC7:C8112(C2xC7:C8):6C2224,136
(C2xC7:C8):7C2 = Q8.Dic7φ: C2/C1C2 ⊆ Out C2xC7:C81124(C2xC7:C8):7C2224,143
(C2xC7:C8):8C2 = D4.8D14φ: C2/C1C2 ⊆ Out C2xC7:C81124(C2xC7:C8):8C2224,145
(C2xC7:C8):9C2 = D14:C8φ: C2/C1C2 ⊆ Out C2xC7:C8112(C2xC7:C8):9C2224,26
(C2xC7:C8):10C2 = C28.55D4φ: C2/C1C2 ⊆ Out C2xC7:C8112(C2xC7:C8):10C2224,36
(C2xC7:C8):11C2 = C2xC8:D7φ: C2/C1C2 ⊆ Out C2xC7:C8112(C2xC7:C8):11C2224,95
(C2xC7:C8):12C2 = C2xC4.Dic7φ: C2/C1C2 ⊆ Out C2xC7:C8112(C2xC7:C8):12C2224,116
(C2xC7:C8):13C2 = D7xC2xC8φ: trivial image112(C2xC7:C8):13C2224,94

Non-split extensions G=N.Q with N=C2xC7:C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2xC7:C8).1C2 = C28.Q8φ: C2/C1C2 ⊆ Out C2xC7:C8224(C2xC7:C8).1C2224,13
(C2xC7:C8).2C2 = C4.Dic14φ: C2/C1C2 ⊆ Out C2xC7:C8224(C2xC7:C8).2C2224,14
(C2xC7:C8).3C2 = C14.Q16φ: C2/C1C2 ⊆ Out C2xC7:C8224(C2xC7:C8).3C2224,16
(C2xC7:C8).4C2 = C28.53D4φ: C2/C1C2 ⊆ Out C2xC7:C81124(C2xC7:C8).4C2224,28
(C2xC7:C8).5C2 = Q8:Dic7φ: C2/C1C2 ⊆ Out C2xC7:C8224(C2xC7:C8).5C2224,41
(C2xC7:C8).6C2 = C2xC7:Q16φ: C2/C1C2 ⊆ Out C2xC7:C8224(C2xC7:C8).6C2224,138
(C2xC7:C8).7C2 = C42.D7φ: C2/C1C2 ⊆ Out C2xC7:C8224(C2xC7:C8).7C2224,9
(C2xC7:C8).8C2 = C28:C8φ: C2/C1C2 ⊆ Out C2xC7:C8224(C2xC7:C8).8C2224,10
(C2xC7:C8).9C2 = Dic7:C8φ: C2/C1C2 ⊆ Out C2xC7:C8224(C2xC7:C8).9C2224,20
(C2xC7:C8).10C2 = C56:C4φ: C2/C1C2 ⊆ Out C2xC7:C8224(C2xC7:C8).10C2224,21
(C2xC7:C8).11C2 = C4xC7:C8φ: trivial image224(C2xC7:C8).11C2224,8
(C2xC7:C8).12C2 = C8xDic7φ: trivial image224(C2xC7:C8).12C2224,19

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