Extensions 1→N→G→Q→1 with N=C2xC8 and Q=C14

Direct product G=NxQ with N=C2xC8 and Q=C14
dρLabelID
C22xC56224C2^2xC56224,164

Semidirect products G=N:Q with N=C2xC8 and Q=C14
extensionφ:Q→Aut NdρLabelID
(C2xC8):1C14 = C7xC22:C8φ: C14/C7C2 ⊆ Aut C2xC8112(C2xC8):1C14224,47
(C2xC8):2C14 = C7xD4:C4φ: C14/C7C2 ⊆ Aut C2xC8112(C2xC8):2C14224,51
(C2xC8):3C14 = C14xD8φ: C14/C7C2 ⊆ Aut C2xC8112(C2xC8):3C14224,167
(C2xC8):4C14 = C7xC4oD8φ: C14/C7C2 ⊆ Aut C2xC81122(C2xC8):4C14224,170
(C2xC8):5C14 = C14xSD16φ: C14/C7C2 ⊆ Aut C2xC8112(C2xC8):5C14224,168
(C2xC8):6C14 = C14xM4(2)φ: C14/C7C2 ⊆ Aut C2xC8112(C2xC8):6C14224,165
(C2xC8):7C14 = C7xC8oD4φ: C14/C7C2 ⊆ Aut C2xC81122(C2xC8):7C14224,166

Non-split extensions G=N.Q with N=C2xC8 and Q=C14
extensionφ:Q→Aut NdρLabelID
(C2xC8).1C14 = C7xQ8:C4φ: C14/C7C2 ⊆ Aut C2xC8224(C2xC8).1C14224,52
(C2xC8).2C14 = C7xC4:C8φ: C14/C7C2 ⊆ Aut C2xC8224(C2xC8).2C14224,54
(C2xC8).3C14 = C7xC2.D8φ: C14/C7C2 ⊆ Aut C2xC8224(C2xC8).3C14224,56
(C2xC8).4C14 = C14xQ16φ: C14/C7C2 ⊆ Aut C2xC8224(C2xC8).4C14224,169
(C2xC8).5C14 = C7xC8.C4φ: C14/C7C2 ⊆ Aut C2xC81122(C2xC8).5C14224,57
(C2xC8).6C14 = C7xC4.Q8φ: C14/C7C2 ⊆ Aut C2xC8224(C2xC8).6C14224,55
(C2xC8).7C14 = C7xC8:C4φ: C14/C7C2 ⊆ Aut C2xC8224(C2xC8).7C14224,46
(C2xC8).8C14 = C7xM5(2)φ: C14/C7C2 ⊆ Aut C2xC81122(C2xC8).8C14224,59

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