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Extensions 1→N→G→Q→1 with N=C4⋊C16 and Q=C2

Direct product G=N×Q with N=C4⋊C16 and Q=C2
dρLabelID
C2×C4⋊C16128C2xC4:C16128,881

Semidirect products G=N:Q with N=C4⋊C16 and Q=C2
extensionφ:Q→Out NdρLabelID
C4⋊C16⋊1C2 = D4⋊C16φ: C2/C1 → C2 ⊆ Out C4⋊C1664C4:C16:1C2128,61
C4⋊C16⋊2C2 = C8.31D8φ: C2/C1 → C2 ⊆ Out C4⋊C1664C4:C16:2C2128,62
C4⋊C16⋊3C2 = C8.30D8φ: C2/C1 → C2 ⊆ Out C4⋊C1664C4:C16:3C2128,92
C4⋊C16⋊4C2 = C4.D16φ: C2/C1 → C2 ⊆ Out C4⋊C1664C4:C16:4C2128,93
C4⋊C16⋊5C2 = D8⋊2D4φ: C2/C1 → C2 ⊆ Out C4⋊C1664C4:C16:5C2128,938
C4⋊C16⋊6C2 = D8⋊1Q8φ: C2/C1 → C2 ⊆ Out C4⋊C1664C4:C16:6C2128,956
C4⋊C16⋊7C2 = D8.5D4φ: C2/C1 → C2 ⊆ Out C4⋊C1664C4:C16:7C2128,942
C4⋊C16⋊8C2 = Q16.5D4φ: C2/C1 → C2 ⊆ Out C4⋊C1664C4:C16:8C2128,943
C4⋊C16⋊9C2 = D8.Q8φ: C2/C1 → C2 ⊆ Out C4⋊C1664C4:C16:9C2128,960
C4⋊C16⋊10C2 = Q16⋊2D4φ: C2/C1 → C2 ⊆ Out C4⋊C1664C4:C16:10C2128,939
C4⋊C16⋊11C2 = D8.4D4φ: C2/C1 → C2 ⊆ Out C4⋊C1664C4:C16:11C2128,940
C4⋊C16⋊12C2 = D8⋊Q8φ: C2/C1 → C2 ⊆ Out C4⋊C1664C4:C16:12C2128,958
C4⋊C16⋊13C2 = C4⋊M5(2)φ: C2/C1 → C2 ⊆ Out C4⋊C1664C4:C16:13C2128,882
C4⋊C16⋊14C2 = C4⋊C4.7C8φ: C2/C1 → C2 ⊆ Out C4⋊C1664C4:C16:14C2128,883
C4⋊C16⋊15C2 = C42.6C8φ: C2/C1 → C2 ⊆ Out C4⋊C1664C4:C16:15C2128,895
C4⋊C16⋊16C2 = C8.12M4(2)φ: C2/C1 → C2 ⊆ Out C4⋊C1664C4:C16:16C2128,896
C4⋊C16⋊17C2 = C16⋊9D4φ: C2/C1 → C2 ⊆ Out C4⋊C1664C4:C16:17C2128,900
C4⋊C16⋊18C2 = C16⋊6D4φ: C2/C1 → C2 ⊆ Out C4⋊C1664C4:C16:18C2128,901
C4⋊C16⋊19C2 = C42.13C8φ: trivial image64C4:C16:19C2128,894
C4⋊C16⋊20C2 = D4×C16φ: trivial image64C4:C16:20C2128,899

Non-split extensions G=N.Q with N=C4⋊C16 and Q=C2
extensionφ:Q→Out NdρLabelID
C4⋊C16.1C2 = Q8⋊C16φ: C2/C1 → C2 ⊆ Out C4⋊C16128C4:C16.1C2128,69
C4⋊C16.2C2 = C8.17Q16φ: C2/C1 → C2 ⊆ Out C4⋊C16128C4:C16.2C2128,70
C4⋊C16.3C2 = C8.27D8φ: C2/C1 → C2 ⊆ Out C4⋊C16128C4:C16.3C2128,94
C4⋊C16.4C2 = C8.16Q16φ: C2/C1 → C2 ⊆ Out C4⋊C16128C4:C16.4C2128,95
C4⋊C16.5C2 = C4.10D16φ: C2/C1 → C2 ⊆ Out C4⋊C16128C4:C16.5C2128,96
C4⋊C16.6C2 = C4.6Q32φ: C2/C1 → C2 ⊆ Out C4⋊C16128C4:C16.6C2128,97
C4⋊C16.7C2 = C8⋊2C16φ: C2/C1 → C2 ⊆ Out C4⋊C16128C4:C16.7C2128,99
C4⋊C16.8C2 = C8.36D8φ: C2/C1 → C2 ⊆ Out C4⋊C16128C4:C16.8C2128,102
C4⋊C16.9C2 = Q16.4D4φ: C2/C1 → C2 ⊆ Out C4⋊C16128C4:C16.9C2128,941
C4⋊C16.10C2 = C4.Q32φ: C2/C1 → C2 ⊆ Out C4⋊C16128C4:C16.10C2128,959
C4⋊C16.11C2 = Q16.Q8φ: C2/C1 → C2 ⊆ Out C4⋊C16128C4:C16.11C2128,961
C4⋊C16.12C2 = Q16⋊Q8φ: C2/C1 → C2 ⊆ Out C4⋊C16128C4:C16.12C2128,957
C4⋊C16.13C2 = C16⋊4Q8φ: C2/C1 → C2 ⊆ Out C4⋊C16128C4:C16.13C2128,915
C4⋊C16.14C2 = Q8×C16φ: trivial image128C4:C16.14C2128,914

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