Extensions 1→N→G→Q→1 with N=C2xC16 and Q=C2

Direct product G=NxQ with N=C2xC16 and Q=C2
dρLabelID
C22xC1664C2^2xC1664,183

Semidirect products G=N:Q with N=C2xC16 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C2xC16):1C2 = C22:C16φ: C2/C1C2 ⊆ Aut C2xC1632(C2xC16):1C264,29
(C2xC16):2C2 = D4.C8φ: C2/C1C2 ⊆ Aut C2xC16322(C2xC16):2C264,31
(C2xC16):3C2 = C2.D16φ: C2/C1C2 ⊆ Aut C2xC1632(C2xC16):3C264,38
(C2xC16):4C2 = D8.C4φ: C2/C1C2 ⊆ Aut C2xC16322(C2xC16):4C264,40
(C2xC16):5C2 = C2xD16φ: C2/C1C2 ⊆ Aut C2xC1632(C2xC16):5C264,186
(C2xC16):6C2 = C4oD16φ: C2/C1C2 ⊆ Aut C2xC16322(C2xC16):6C264,189
(C2xC16):7C2 = C2xSD32φ: C2/C1C2 ⊆ Aut C2xC1632(C2xC16):7C264,187
(C2xC16):8C2 = C2xM5(2)φ: C2/C1C2 ⊆ Aut C2xC1632(C2xC16):8C264,184
(C2xC16):9C2 = D4oC16φ: C2/C1C2 ⊆ Aut C2xC16322(C2xC16):9C264,185

Non-split extensions G=N.Q with N=C2xC16 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C2xC16).1C2 = C2.Q32φ: C2/C1C2 ⊆ Aut C2xC1664(C2xC16).1C264,39
(C2xC16).2C2 = C4:C16φ: C2/C1C2 ⊆ Aut C2xC1664(C2xC16).2C264,44
(C2xC16).3C2 = C16:3C4φ: C2/C1C2 ⊆ Aut C2xC1664(C2xC16).3C264,47
(C2xC16).4C2 = C2xQ32φ: C2/C1C2 ⊆ Aut C2xC1664(C2xC16).4C264,188
(C2xC16).5C2 = C8.4Q8φ: C2/C1C2 ⊆ Aut C2xC16322(C2xC16).5C264,49
(C2xC16).6C2 = C16:4C4φ: C2/C1C2 ⊆ Aut C2xC1664(C2xC16).6C264,48
(C2xC16).7C2 = C16:5C4φ: C2/C1C2 ⊆ Aut C2xC1664(C2xC16).7C264,27
(C2xC16).8C2 = M6(2)φ: C2/C1C2 ⊆ Aut C2xC16322(C2xC16).8C264,51

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