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Extensions 1→N→G→Q→1 with N=C16⋊4C4 and Q=C2

Direct product G=N×Q with N=C16⋊4C4 and Q=C2
dρLabelID
C2×C16⋊4C4128C2xC16:4C4128,889

Semidirect products G=N:Q with N=C16⋊4C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C16⋊4C4⋊1C2 = D16⋊3C4φ: C2/C1 → C2 ⊆ Out C16⋊4C4324C16:4C4:1C2128,150
C16⋊4C4⋊2C2 = M5(2)⋊1C4φ: C2/C1 → C2 ⊆ Out C16⋊4C464C16:4C4:2C2128,891
C16⋊4C4⋊3C2 = D16⋊4C4φ: C2/C1 → C2 ⊆ Out C16⋊4C464C16:4C4:3C2128,909
C16⋊4C4⋊4C2 = C16⋊D4φ: C2/C1 → C2 ⊆ Out C16⋊4C464C16:4C4:4C2128,950
C16⋊4C4⋊5C2 = C16.D4φ: C2/C1 → C2 ⊆ Out C16⋊4C464C16:4C4:5C2128,951
C16⋊4C4⋊6C2 = C16⋊8D4φ: C2/C1 → C2 ⊆ Out C16⋊4C464C16:4C4:6C2128,949
C16⋊4C4⋊7C2 = D8⋊Q8φ: C2/C1 → C2 ⊆ Out C16⋊4C464C16:4C4:7C2128,958
C16⋊4C4⋊8C2 = D8.Q8φ: C2/C1 → C2 ⊆ Out C16⋊4C464C16:4C4:8C2128,960
C16⋊4C4⋊9C2 = C23.49D8φ: C2/C1 → C2 ⊆ Out C16⋊4C464C16:4C4:9C2128,965
C16⋊4C4⋊10C2 = C23.19D8φ: C2/C1 → C2 ⊆ Out C16⋊4C464C16:4C4:10C2128,966
C16⋊4C4⋊11C2 = C23.50D8φ: C2/C1 → C2 ⊆ Out C16⋊4C464C16:4C4:11C2128,967
C16⋊4C4⋊12C2 = C23.20D8φ: C2/C1 → C2 ⊆ Out C16⋊4C464C16:4C4:12C2128,969
C16⋊4C4⋊13C2 = C23.25D8φ: trivial image64C16:4C4:13C2128,890
C16⋊4C4⋊14C2 = C4×SD32φ: trivial image64C16:4C4:14C2128,905

Non-split extensions G=N.Q with N=C16⋊4C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C16⋊4C4.1C2 = C8.Q16φ: C2/C1 → C2 ⊆ Out C16⋊4C4324C16:4C4.1C2128,158
C16⋊4C4.2C2 = Q32⋊4C4φ: C2/C1 → C2 ⊆ Out C16⋊4C4128C16:4C4.2C2128,908
C16⋊4C4.3C2 = C16⋊Q8φ: C2/C1 → C2 ⊆ Out C16⋊4C4128C16:4C4.3C2128,987
C16⋊4C4.4C2 = Q16⋊Q8φ: C2/C1 → C2 ⊆ Out C16⋊4C4128C16:4C4.4C2128,957
C16⋊4C4.5C2 = Q16.Q8φ: C2/C1 → C2 ⊆ Out C16⋊4C4128C16:4C4.5C2128,961
C16⋊4C4.6C2 = C16.5Q8φ: C2/C1 → C2 ⊆ Out C16⋊4C4128C16:4C4.6C2128,985
C16⋊4C4.7C2 = C16⋊3Q8φ: C2/C1 → C2 ⊆ Out C16⋊4C4128C16:4C4.7C2128,986

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