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Extensions 1→N→G→Q→1 with N=C16⋊5C4 and Q=C2

Direct product G=N×Q with N=C16⋊5C4 and Q=C2
dρLabelID
C2×C16⋊5C4128C2xC16:5C4128,838

Semidirect products G=N:Q with N=C16⋊5C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C16⋊5C4⋊1C2 = SD32⋊3C4φ: C2/C1 → C2 ⊆ Out C16⋊5C464C16:5C4:1C2128,907
C16⋊5C4⋊2C2 = D16⋊4C4φ: C2/C1 → C2 ⊆ Out C16⋊5C464C16:5C4:2C2128,909
C16⋊5C4⋊3C2 = D16⋊5C4φ: C2/C1 → C2 ⊆ Out C16⋊5C4324C16:5C4:3C2128,911
C16⋊5C4⋊4C2 = C16⋊3D4φ: C2/C1 → C2 ⊆ Out C16⋊5C464C16:5C4:4C2128,982
C16⋊5C4⋊5C2 = C8.7D8φ: C2/C1 → C2 ⊆ Out C16⋊5C464C16:5C4:5C2128,983
C16⋊5C4⋊6C2 = C8.31D8φ: C2/C1 → C2 ⊆ Out C16⋊5C464C16:5C4:6C2128,62
C16⋊5C4⋊7C2 = D8⋊C8φ: C2/C1 → C2 ⊆ Out C16⋊5C464C16:5C4:7C2128,65
C16⋊5C4⋊8C2 = C42.6C8φ: C2/C1 → C2 ⊆ Out C16⋊5C464C16:5C4:8C2128,895
C16⋊5C4⋊9C2 = C8.12M4(2)φ: C2/C1 → C2 ⊆ Out C16⋊5C464C16:5C4:9C2128,896
C16⋊5C4⋊10C2 = C16⋊9D4φ: C2/C1 → C2 ⊆ Out C16⋊5C464C16:5C4:10C2128,900
C16⋊5C4⋊11C2 = D8.C8φ: C2/C1 → C2 ⊆ Out C16⋊5C4324C16:5C4:11C2128,903
C16⋊5C4⋊12C2 = C8.12SD16φ: C2/C1 → C2 ⊆ Out C16⋊5C464C16:5C4:12C2128,975
C16⋊5C4⋊13C2 = C8.13SD16φ: C2/C1 → C2 ⊆ Out C16⋊5C464C16:5C4:13C2128,976
C16⋊5C4⋊14C2 = C4×M5(2)φ: trivial image64C16:5C4:14C2128,839
C16⋊5C4⋊15C2 = C16○2M5(2)φ: trivial image64C16:5C4:15C2128,840

Non-split extensions G=N.Q with N=C16⋊5C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C16⋊5C4.1C2 = Q32⋊4C4φ: C2/C1 → C2 ⊆ Out C16⋊5C4128C16:5C4.1C2128,908
C16⋊5C4.2C2 = C16⋊Q8φ: C2/C1 → C2 ⊆ Out C16⋊5C4128C16:5C4.2C2128,987
C16⋊5C4.3C2 = C16⋊1C8φ: C2/C1 → C2 ⊆ Out C16⋊5C4128C16:5C4.3C2128,100
C16⋊5C4.4C2 = C16.C8φ: C2/C1 → C2 ⊆ Out C16⋊5C4324C16:5C4.4C2128,101
C16⋊5C4.5C2 = C16⋊C8φ: C2/C1 → C2 ⊆ Out C16⋊5C4128C16:5C4.5C2128,45
C16⋊5C4.6C2 = Q16⋊C8φ: C2/C1 → C2 ⊆ Out C16⋊5C4128C16:5C4.6C2128,66
C16⋊5C4.7C2 = C8.17Q16φ: C2/C1 → C2 ⊆ Out C16⋊5C4128C16:5C4.7C2128,70
C16⋊5C4.8C2 = C32⋊C4φ: C2/C1 → C2 ⊆ Out C16⋊5C4324C16:5C4.8C2128,130
C16⋊5C4.9C2 = C16⋊4Q8φ: C2/C1 → C2 ⊆ Out C16⋊5C4128C16:5C4.9C2128,915
C16⋊5C4.10C2 = C8.14SD16φ: C2/C1 → C2 ⊆ Out C16⋊5C4128C16:5C4.10C2128,977

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