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Extensions 1→N→G→Q→1 with N=C5×C8.C4 and Q=C2

Direct product G=N×Q with N=C5×C8.C4 and Q=C2
dρLabelID
C10×C8.C4160C10xC8.C4320,930

Semidirect products G=N:Q with N=C5×C8.C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×C8.C4)⋊1C2 = D40.5C4φ: C2/C1 → C2 ⊆ Out C5×C8.C41604(C5xC8.C4):1C2320,55
(C5×C8.C4)⋊2C2 = D5×C8.C4φ: C2/C1 → C2 ⊆ Out C5×C8.C4804(C5xC8.C4):2C2320,519
(C5×C8.C4)⋊3C2 = M4(2).25D10φ: C2/C1 → C2 ⊆ Out C5×C8.C4804(C5xC8.C4):3C2320,520
(C5×C8.C4)⋊4C2 = D40⋊16C4φ: C2/C1 → C2 ⊆ Out C5×C8.C4804(C5xC8.C4):4C2320,521
(C5×C8.C4)⋊5C2 = D40⋊13C4φ: C2/C1 → C2 ⊆ Out C5×C8.C4804(C5xC8.C4):5C2320,522
(C5×C8.C4)⋊6C2 = C8.20D20φ: C2/C1 → C2 ⊆ Out C5×C8.C41604-(C5xC8.C4):6C2320,523
(C5×C8.C4)⋊7C2 = C8.21D20φ: C2/C1 → C2 ⊆ Out C5×C8.C4804+(C5xC8.C4):7C2320,524
(C5×C8.C4)⋊8C2 = C8.24D20φ: C2/C1 → C2 ⊆ Out C5×C8.C4804(C5xC8.C4):8C2320,525
(C5×C8.C4)⋊9C2 = D40.6C4φ: C2/C1 → C2 ⊆ Out C5×C8.C4804+(C5xC8.C4):9C2320,53
(C5×C8.C4)⋊10C2 = C5×D8.C4φ: C2/C1 → C2 ⊆ Out C5×C8.C41602(C5xC8.C4):10C2320,164
(C5×C8.C4)⋊11C2 = C5×M5(2)⋊C2φ: C2/C1 → C2 ⊆ Out C5×C8.C4804(C5xC8.C4):11C2320,166
(C5×C8.C4)⋊12C2 = C5×M4(2).C4φ: C2/C1 → C2 ⊆ Out C5×C8.C4804(C5xC8.C4):12C2320,931
(C5×C8.C4)⋊13C2 = C5×C8.26D4φ: C2/C1 → C2 ⊆ Out C5×C8.C4804(C5xC8.C4):13C2320,945
(C5×C8.C4)⋊14C2 = C5×D4.3D4φ: C2/C1 → C2 ⊆ Out C5×C8.C4804(C5xC8.C4):14C2320,972
(C5×C8.C4)⋊15C2 = C5×D4.4D4φ: C2/C1 → C2 ⊆ Out C5×C8.C4804(C5xC8.C4):15C2320,973
(C5×C8.C4)⋊16C2 = C5×D4.5D4φ: C2/C1 → C2 ⊆ Out C5×C8.C41604(C5xC8.C4):16C2320,974
(C5×C8.C4)⋊17C2 = C5×C8○D8φ: trivial image802(C5xC8.C4):17C2320,944

Non-split extensions G=N.Q with N=C5×C8.C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×C8.C4).1C2 = C40.7Q8φ: C2/C1 → C2 ⊆ Out C5×C8.C41604(C5xC8.C4).1C2320,51
(C5×C8.C4).2C2 = C40.8D4φ: C2/C1 → C2 ⊆ Out C5×C8.C41604-(C5xC8.C4).2C2320,54
(C5×C8.C4).3C2 = C40.6Q8φ: C2/C1 → C2 ⊆ Out C5×C8.C4804(C5xC8.C4).3C2320,52
(C5×C8.C4).4C2 = C5×C8.17D4φ: C2/C1 → C2 ⊆ Out C5×C8.C41604(C5xC8.C4).4C2320,167
(C5×C8.C4).5C2 = C5×C8.Q8φ: C2/C1 → C2 ⊆ Out C5×C8.C4804(C5xC8.C4).5C2320,170
(C5×C8.C4).6C2 = C5×C8.4Q8φ: C2/C1 → C2 ⊆ Out C5×C8.C41602(C5xC8.C4).6C2320,173

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