Extensions 1→N→G→Q→1 with N=C4xC16 and Q=C2

Direct product G=NxQ with N=C4xC16 and Q=C2
dρLabelID
C2xC4xC16128C2xC4xC16128,837

Semidirect products G=N:Q with N=C4xC16 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C4xC16):1C2 = D4:C16φ: C2/C1C2 ⊆ Aut C4xC1664(C4xC16):1C2128,61
(C4xC16):2C2 = C4.16D16φ: C2/C1C2 ⊆ Aut C4xC1664(C4xC16):2C2128,63
(C4xC16):3C2 = C42.13C8φ: C2/C1C2 ⊆ Aut C4xC1664(C4xC16):3C2128,894
(C4xC16):4C2 = C8.12M4(2)φ: C2/C1C2 ⊆ Aut C4xC1664(C4xC16):4C2128,896
(C4xC16):5C2 = D4xC16φ: C2/C1C2 ⊆ Aut C4xC1664(C4xC16):5C2128,899
(C4xC16):6C2 = C4.4D16φ: C2/C1C2 ⊆ Aut C4xC1664(C4xC16):6C2128,972
(C4xC16):7C2 = C8.22SD16φ: C2/C1C2 ⊆ Aut C4xC1664(C4xC16):7C2128,974
(C4xC16):8C2 = C4xD16φ: C2/C1C2 ⊆ Aut C4xC1664(C4xC16):8C2128,904
(C4xC16):9C2 = C4:D16φ: C2/C1C2 ⊆ Aut C4xC1664(C4xC16):9C2128,978
(C4xC16):10C2 = C8oD16φ: C2/C1C2 ⊆ Aut C4xC16322(C4xC16):10C2128,910
(C4xC16):11C2 = C8.21D8φ: C2/C1C2 ⊆ Aut C4xC1664(C4xC16):11C2128,981
(C4xC16):12C2 = C4xSD32φ: C2/C1C2 ⊆ Aut C4xC1664(C4xC16):12C2128,905
(C4xC16):13C2 = C16:5D4φ: C2/C1C2 ⊆ Aut C4xC1664(C4xC16):13C2128,980
(C4xC16):14C2 = C4xM5(2)φ: C2/C1C2 ⊆ Aut C4xC1664(C4xC16):14C2128,839
(C4xC16):15C2 = C16o2M5(2)φ: C2/C1C2 ⊆ Aut C4xC1664(C4xC16):15C2128,840
(C4xC16):16C2 = C16:6D4φ: C2/C1C2 ⊆ Aut C4xC1664(C4xC16):16C2128,901
(C4xC16):17C2 = C16oD8φ: C2/C1C2 ⊆ Aut C4xC16322(C4xC16):17C2128,902

Non-split extensions G=N.Q with N=C4xC16 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C4xC16).1C2 = C8:C16φ: C2/C1C2 ⊆ Aut C4xC16128(C4xC16).1C2128,44
(C4xC16).2C2 = Q16:1C8φ: C2/C1C2 ⊆ Aut C4xC16128(C4xC16).2C2128,64
(C4xC16).3C2 = Q8:C16φ: C2/C1C2 ⊆ Aut C4xC16128(C4xC16).3C2128,69
(C4xC16).4C2 = C4:C32φ: C2/C1C2 ⊆ Aut C4xC16128(C4xC16).4C2128,153
(C4xC16).5C2 = Q8xC16φ: C2/C1C2 ⊆ Aut C4xC16128(C4xC16).5C2128,914
(C4xC16).6C2 = C4.SD32φ: C2/C1C2 ⊆ Aut C4xC16128(C4xC16).6C2128,973
(C4xC16).7C2 = C16:3C8φ: C2/C1C2 ⊆ Aut C4xC16128(C4xC16).7C2128,103
(C4xC16).8C2 = C4xQ32φ: C2/C1C2 ⊆ Aut C4xC16128(C4xC16).8C2128,906
(C4xC16).9C2 = C4:Q32φ: C2/C1C2 ⊆ Aut C4xC16128(C4xC16).9C2128,979
(C4xC16).10C2 = C16:2Q8φ: C2/C1C2 ⊆ Aut C4xC16128(C4xC16).10C2128,984
(C4xC16).11C2 = C16.3C8φ: C2/C1C2 ⊆ Aut C4xC16322(C4xC16).11C2128,105
(C4xC16).12C2 = C16.5Q8φ: C2/C1C2 ⊆ Aut C4xC16128(C4xC16).12C2128,985
(C4xC16).13C2 = C16:4C8φ: C2/C1C2 ⊆ Aut C4xC16128(C4xC16).13C2128,104
(C4xC16).14C2 = C16:3Q8φ: C2/C1C2 ⊆ Aut C4xC16128(C4xC16).14C2128,986
(C4xC16).15C2 = C16:5C8φ: C2/C1C2 ⊆ Aut C4xC16128(C4xC16).15C2128,43
(C4xC16).16C2 = C32:5C4φ: C2/C1C2 ⊆ Aut C4xC16128(C4xC16).16C2128,129
(C4xC16).17C2 = C8.C16φ: C2/C1C2 ⊆ Aut C4xC16322(C4xC16).17C2128,154
(C4xC16).18C2 = C16:4Q8φ: C2/C1C2 ⊆ Aut C4xC16128(C4xC16).18C2128,915

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