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Extensions 1→N→G→Q→1 with N=C4⋊Q16 and Q=C2

Direct product G=N×Q with N=C4⋊Q16 and Q=C2
dρLabelID
C2×C4⋊Q16128C2xC4:Q16128,1877

Semidirect products G=N:Q with N=C4⋊Q16 and Q=C2
extensionφ:Q→Out NdρLabelID
C4⋊Q16⋊1C2 = D4⋊Q16φ: C2/C1 → C2 ⊆ Out C4⋊Q1664C4:Q16:1C2128,364
C4⋊Q16⋊2C2 = C42.195C23φ: C2/C1 → C2 ⊆ Out C4⋊Q1664C4:Q16:2C2128,366
C4⋊Q16⋊3C2 = C8.28D8φ: C2/C1 → C2 ⊆ Out C4⋊Q1664C4:Q16:3C2128,401
C4⋊Q16⋊4C2 = C82⋊5C2φ: C2/C1 → C2 ⊆ Out C4⋊Q1664C4:Q16:4C2128,441
C4⋊Q16⋊5C2 = C42.667C23φ: C2/C1 → C2 ⊆ Out C4⋊Q1664C4:Q16:5C2128,452
C4⋊Q16⋊6C2 = D8.4D4φ: C2/C1 → C2 ⊆ Out C4⋊Q1664C4:Q16:6C2128,940
C4⋊Q16⋊7C2 = C16⋊5D4φ: C2/C1 → C2 ⊆ Out C4⋊Q1664C4:Q16:7C2128,980
C4⋊Q16⋊8C2 = C42.267D4φ: C2/C1 → C2 ⊆ Out C4⋊Q1664C4:Q16:8C2128,1941
C4⋊Q16⋊9C2 = C42.268D4φ: C2/C1 → C2 ⊆ Out C4⋊Q1664C4:Q16:9C2128,1942
C4⋊Q16⋊10C2 = C42.409C23φ: C2/C1 → C2 ⊆ Out C4⋊Q1664C4:Q16:10C2128,1955
C4⋊Q16⋊11C2 = D8⋊13D4φ: C2/C1 → C2 ⊆ Out C4⋊Q1664C4:Q16:11C2128,2015
C4⋊Q16⋊12C2 = D4×Q16φ: C2/C1 → C2 ⊆ Out C4⋊Q1664C4:Q16:12C2128,2018
C4⋊Q16⋊13C2 = C42.527C23φ: C2/C1 → C2 ⊆ Out C4⋊Q1664C4:Q16:13C2128,2125
C4⋊Q16⋊14C2 = C8.D8φ: C2/C1 → C2 ⊆ Out C4⋊Q1664C4:Q16:14C2128,421
C4⋊Q16⋊15C2 = C8.2D8φ: C2/C1 → C2 ⊆ Out C4⋊Q1664C4:Q16:15C2128,454
C4⋊Q16⋊16C2 = C8.5D8φ: C2/C1 → C2 ⊆ Out C4⋊Q16324-C4:Q16:16C2128,946
C4⋊Q16⋊17C2 = C8.7D8φ: C2/C1 → C2 ⊆ Out C4⋊Q1664C4:Q16:17C2128,983
C4⋊Q16⋊18C2 = M4(2)⋊8D4φ: C2/C1 → C2 ⊆ Out C4⋊Q1664C4:Q16:18C2128,1884
C4⋊Q16⋊19C2 = M4(2).20D4φ: C2/C1 → C2 ⊆ Out C4⋊Q1664C4:Q16:19C2128,1888
C4⋊Q16⋊20C2 = C42.389C23φ: C2/C1 → C2 ⊆ Out C4⋊Q1664C4:Q16:20C2128,1909
C4⋊Q16⋊21C2 = C42.262D4φ: C2/C1 → C2 ⊆ Out C4⋊Q1664C4:Q16:21C2128,1917
C4⋊Q16⋊22C2 = SD16⋊3D4φ: C2/C1 → C2 ⊆ Out C4⋊Q1664C4:Q16:22C2128,2008
C4⋊Q16⋊23C2 = D8○Q16φ: C2/C1 → C2 ⊆ Out C4⋊Q16324-C4:Q16:23C2128,2025
C4⋊Q16⋊24C2 = C42.73C23φ: C2/C1 → C2 ⊆ Out C4⋊Q1664C4:Q16:24C2128,2130
C4⋊Q16⋊25C2 = C42.360D4φ: trivial image64C4:Q16:25C2128,1879
C4⋊Q16⋊26C2 = C42.367D4φ: trivial image64C4:Q16:26C2128,1902

Non-split extensions G=N.Q with N=C4⋊Q16 and Q=C2
extensionφ:Q→Out NdρLabelID
C4⋊Q16.1C2 = C8.27D8φ: C2/C1 → C2 ⊆ Out C4⋊Q16128C4:Q16.1C2128,94
C4⋊Q16.2C2 = (C2×Q8).D4φ: C2/C1 → C2 ⊆ Out C4⋊Q16324-C4:Q16.2C2128,143
C4⋊Q16.3C2 = Q8⋊Q16φ: C2/C1 → C2 ⊆ Out C4⋊Q16128C4:Q16.3C2128,365
C4⋊Q16.4C2 = Q8⋊1Q16φ: C2/C1 → C2 ⊆ Out C4⋊Q16128C4:Q16.4C2128,402
C4⋊Q16.5C2 = C8⋊5Q16φ: C2/C1 → C2 ⊆ Out C4⋊Q16128C4:Q16.5C2128,439
C4⋊Q16.6C2 = C8⋊4Q16φ: C2/C1 → C2 ⊆ Out C4⋊Q16128C4:Q16.6C2128,445
C4⋊Q16.7C2 = C8⋊3Q16φ: C2/C1 → C2 ⊆ Out C4⋊Q16128C4:Q16.7C2128,455
C4⋊Q16.8C2 = Q16.4D4φ: C2/C1 → C2 ⊆ Out C4⋊Q16128C4:Q16.8C2128,941
C4⋊Q16.9C2 = C4.SD32φ: C2/C1 → C2 ⊆ Out C4⋊Q16128C4:Q16.9C2128,973
C4⋊Q16.10C2 = C4⋊Q32φ: C2/C1 → C2 ⊆ Out C4⋊Q16128C4:Q16.10C2128,979
C4⋊Q16.11C2 = Q8⋊6Q16φ: C2/C1 → C2 ⊆ Out C4⋊Q16128C4:Q16.11C2128,2127
C4⋊Q16.12C2 = C8.25D8φ: C2/C1 → C2 ⊆ Out C4⋊Q16324-C4:Q16.12C2128,90
C4⋊Q16.13C2 = C8.SD16φ: C2/C1 → C2 ⊆ Out C4⋊Q16128C4:Q16.13C2128,422
C4⋊Q16.14C2 = C8.9SD16φ: C2/C1 → C2 ⊆ Out C4⋊Q16128C4:Q16.14C2128,448
C4⋊Q16.15C2 = C8.14SD16φ: C2/C1 → C2 ⊆ Out C4⋊Q16128C4:Q16.15C2128,977

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