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Extensions 1→N→G→Q→1 with N=C16⋊3C4 and Q=C2

Direct product G=N×Q with N=C16⋊3C4 and Q=C2
dρLabelID
C2×C16⋊3C4128C2xC16:3C4128,888

Semidirect products G=N:Q with N=C16⋊3C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C16⋊3C4⋊1C2 = D16⋊2C4φ: C2/C1 → C2 ⊆ Out C16⋊3C464C16:3C4:1C2128,147
C16⋊3C4⋊2C2 = C16⋊7D4φ: C2/C1 → C2 ⊆ Out C16⋊3C464C16:3C4:2C2128,947
C16⋊3C4⋊3C2 = C16.19D4φ: C2/C1 → C2 ⊆ Out C16⋊3C464C16:3C4:3C2128,948
C16⋊3C4⋊4C2 = D8⋊1Q8φ: C2/C1 → C2 ⊆ Out C16⋊3C464C16:3C4:4C2128,956
C16⋊3C4⋊5C2 = D8.Q8φ: C2/C1 → C2 ⊆ Out C16⋊3C464C16:3C4:5C2128,960
C16⋊3C4⋊6C2 = C22.D16φ: C2/C1 → C2 ⊆ Out C16⋊3C464C16:3C4:6C2128,964
C16⋊3C4⋊7C2 = C23.19D8φ: C2/C1 → C2 ⊆ Out C16⋊3C464C16:3C4:7C2128,966
C16⋊3C4⋊8C2 = C23.51D8φ: C2/C1 → C2 ⊆ Out C16⋊3C464C16:3C4:8C2128,968
C16⋊3C4⋊9C2 = C23.20D8φ: C2/C1 → C2 ⊆ Out C16⋊3C464C16:3C4:9C2128,969
C16⋊3C4⋊10C2 = M5(2)⋊1C4φ: C2/C1 → C2 ⊆ Out C16⋊3C464C16:3C4:10C2128,891
C16⋊3C4⋊11C2 = SD32⋊3C4φ: C2/C1 → C2 ⊆ Out C16⋊3C464C16:3C4:11C2128,907
C16⋊3C4⋊12C2 = C16⋊2D4φ: C2/C1 → C2 ⊆ Out C16⋊3C464C16:3C4:12C2128,952
C16⋊3C4⋊13C2 = C23.25D8φ: trivial image64C16:3C4:13C2128,890
C16⋊3C4⋊14C2 = C4×D16φ: trivial image64C16:3C4:14C2128,904

Non-split extensions G=N.Q with N=C16⋊3C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C16⋊3C4.1C2 = Q32⋊2C4φ: C2/C1 → C2 ⊆ Out C16⋊3C4128C16:3C4.1C2128,148
C16⋊3C4.2C2 = C32⋊3C4φ: C2/C1 → C2 ⊆ Out C16⋊3C4128C16:3C4.2C2128,155
C16⋊3C4.3C2 = C32⋊4C4φ: C2/C1 → C2 ⊆ Out C16⋊3C4128C16:3C4.3C2128,156
C16⋊3C4.4C2 = C4.Q32φ: C2/C1 → C2 ⊆ Out C16⋊3C4128C16:3C4.4C2128,959
C16⋊3C4.5C2 = Q16.Q8φ: C2/C1 → C2 ⊆ Out C16⋊3C4128C16:3C4.5C2128,961
C16⋊3C4.6C2 = C16⋊2Q8φ: C2/C1 → C2 ⊆ Out C16⋊3C4128C16:3C4.6C2128,984
C16⋊3C4.7C2 = C16.5Q8φ: C2/C1 → C2 ⊆ Out C16⋊3C4128C16:3C4.7C2128,985
C16⋊3C4.8C2 = C16⋊Q8φ: C2/C1 → C2 ⊆ Out C16⋊3C4128C16:3C4.8C2128,987
C16⋊3C4.9C2 = C4×Q32φ: trivial image128C16:3C4.9C2128,906

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