# Extensions 1→N→G→Q→1 with N=C5×C8○D4 and Q=C2

Direct product G=N×Q with N=C5×C8○D4 and Q=C2
dρLabelID
C10×C8○D4160C10xC8oD4320,1569

Semidirect products G=N:Q with N=C5×C8○D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×C8○D4)⋊1C2 = D4.3D20φ: C2/C1C2 ⊆ Out C5×C8○D4804(C5xC8oD4):1C2320,768
(C5×C8○D4)⋊2C2 = D4.4D20φ: C2/C1C2 ⊆ Out C5×C8○D4804+(C5xC8oD4):2C2320,769
(C5×C8○D4)⋊3C2 = D4.11D20φ: C2/C1C2 ⊆ Out C5×C8○D4804(C5xC8oD4):3C2320,1423
(C5×C8○D4)⋊4C2 = D4.12D20φ: C2/C1C2 ⊆ Out C5×C8○D4804+(C5xC8oD4):4C2320,1424
(C5×C8○D4)⋊5C2 = D4.13D20φ: C2/C1C2 ⊆ Out C5×C8○D41604-(C5xC8oD4):5C2320,1425
(C5×C8○D4)⋊6C2 = C40.93D4φ: C2/C1C2 ⊆ Out C5×C8○D4804(C5xC8oD4):6C2320,771
(C5×C8○D4)⋊7C2 = C40.50D4φ: C2/C1C2 ⊆ Out C5×C8○D4804(C5xC8oD4):7C2320,772
(C5×C8○D4)⋊8C2 = D5×C8○D4φ: C2/C1C2 ⊆ Out C5×C8○D4804(C5xC8oD4):8C2320,1421
(C5×C8○D4)⋊9C2 = C20.72C24φ: C2/C1C2 ⊆ Out C5×C8○D4804(C5xC8oD4):9C2320,1422
(C5×C8○D4)⋊10C2 = C5×D4.3D4φ: C2/C1C2 ⊆ Out C5×C8○D4804(C5xC8oD4):10C2320,972
(C5×C8○D4)⋊11C2 = C5×D4.4D4φ: C2/C1C2 ⊆ Out C5×C8○D4804(C5xC8oD4):11C2320,973
(C5×C8○D4)⋊12C2 = C5×D4○D8φ: C2/C1C2 ⊆ Out C5×C8○D4804(C5xC8oD4):12C2320,1578
(C5×C8○D4)⋊13C2 = C5×D4○SD16φ: C2/C1C2 ⊆ Out C5×C8○D4804(C5xC8oD4):13C2320,1579
(C5×C8○D4)⋊14C2 = C5×Q8○D8φ: C2/C1C2 ⊆ Out C5×C8○D41604(C5xC8oD4):14C2320,1580
(C5×C8○D4)⋊15C2 = C5×C8○D8φ: C2/C1C2 ⊆ Out C5×C8○D4802(C5xC8oD4):15C2320,944
(C5×C8○D4)⋊16C2 = C5×C8.26D4φ: C2/C1C2 ⊆ Out C5×C8○D4804(C5xC8oD4):16C2320,945
(C5×C8○D4)⋊17C2 = C5×Q8○M4(2)φ: C2/C1C2 ⊆ Out C5×C8○D4804(C5xC8oD4):17C2320,1570

Non-split extensions G=N.Q with N=C5×C8○D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×C8○D4).1C2 = D4.5D20φ: C2/C1C2 ⊆ Out C5×C8○D41604-(C5xC8oD4).1C2320,770
(C5×C8○D4).2C2 = C40.92D4φ: C2/C1C2 ⊆ Out C5×C8○D41604(C5xC8oD4).2C2320,119
(C5×C8○D4).3C2 = C40.70C23φ: C2/C1C2 ⊆ Out C5×C8○D41604(C5xC8oD4).3C2320,767
(C5×C8○D4).4C2 = C5×D4.5D4φ: C2/C1C2 ⊆ Out C5×C8○D41604(C5xC8oD4).4C2320,974
(C5×C8○D4).5C2 = C5×D4.C8φ: C2/C1C2 ⊆ Out C5×C8○D41602(C5xC8oD4).5C2320,155
(C5×C8○D4).6C2 = C5×D4○C16φ: trivial image1602(C5xC8oD4).6C2320,1005

׿
×
𝔽