Extensions 1→N→G→Q→1 with N=C4xD29 and Q=C2

Direct product G=NxQ with N=C4xD29 and Q=C2
dρLabelID
C2xC4xD29232C2xC4xD29464,36

Semidirect products G=N:Q with N=C4xD29 and Q=C2
extensionφ:Q→Out NdρLabelID
(C4xD29):1C2 = D4xD29φ: C2/C1C2 ⊆ Out C4xD291164+(C4xD29):1C2464,39
(C4xD29):2C2 = D4:2D29φ: C2/C1C2 ⊆ Out C4xD292324-(C4xD29):2C2464,40
(C4xD29):3C2 = Q8:2D29φ: C2/C1C2 ⊆ Out C4xD292324+(C4xD29):3C2464,42
(C4xD29):4C2 = D116:5C2φ: C2/C1C2 ⊆ Out C4xD292322(C4xD29):4C2464,38

Non-split extensions G=N.Q with N=C4xD29 and Q=C2
extensionφ:Q→Out NdρLabelID
(C4xD29).1C2 = Q8xD29φ: C2/C1C2 ⊆ Out C4xD292324-(C4xD29).1C2464,41
(C4xD29).2C2 = C8:D29φ: C2/C1C2 ⊆ Out C4xD292322(C4xD29).2C2464,5
(C4xD29).3C2 = C116.C4φ: C2/C1C2 ⊆ Out C4xD292324(C4xD29).3C2464,29
(C4xD29).4C2 = C116:C4φ: C2/C1C2 ⊆ Out C4xD291164(C4xD29).4C2464,31
(C4xD29).5C2 = D29:C8φ: C2/C1C2 ⊆ Out C4xD292324(C4xD29).5C2464,28
(C4xD29).6C2 = C4xC29:C4φ: C2/C1C2 ⊆ Out C4xD291164(C4xD29).6C2464,30
(C4xD29).7C2 = C8xD29φ: trivial image2322(C4xD29).7C2464,4

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