Extensions 1→N→G→Q→1 with N=C4×Q8 and Q=C10

Direct product G=N×Q with N=C4×Q8 and Q=C10
dρLabelID
Q8×C2×C20320Q8xC2xC20320,1518

Semidirect products G=N:Q with N=C4×Q8 and Q=C10
extensionφ:Q→Out NdρLabelID
(C4×Q8)⋊1C10 = SD16×C20φ: C10/C5C2 ⊆ Out C4×Q8160(C4xQ8):1C10320,939
(C4×Q8)⋊2C10 = C5×SD16⋊C4φ: C10/C5C2 ⊆ Out C4×Q8160(C4xQ8):2C10320,941
(C4×Q8)⋊3C10 = C5×C4⋊SD16φ: C10/C5C2 ⊆ Out C4×Q8160(C4xQ8):3C10320,961
(C4×Q8)⋊4C10 = C5×Q8.D4φ: C10/C5C2 ⊆ Out C4×Q8160(C4xQ8):4C10320,965
(C4×Q8)⋊5C10 = C5×C23.32C23φ: C10/C5C2 ⊆ Out C4×Q8160(C4xQ8):5C10320,1521
(C4×Q8)⋊6C10 = C5×C23.33C23φ: C10/C5C2 ⊆ Out C4×Q8160(C4xQ8):6C10320,1522
(C4×Q8)⋊7C10 = C5×C23.36C23φ: C10/C5C2 ⊆ Out C4×Q8160(C4xQ8):7C10320,1531
(C4×Q8)⋊8C10 = C5×C23.37C23φ: C10/C5C2 ⊆ Out C4×Q8160(C4xQ8):8C10320,1535
(C4×Q8)⋊9C10 = C5×C22.35C24φ: C10/C5C2 ⊆ Out C4×Q8160(C4xQ8):9C10320,1543
(C4×Q8)⋊10C10 = C5×C22.36C24φ: C10/C5C2 ⊆ Out C4×Q8160(C4xQ8):10C10320,1544
(C4×Q8)⋊11C10 = C5×Q85D4φ: C10/C5C2 ⊆ Out C4×Q8160(C4xQ8):11C10320,1550
(C4×Q8)⋊12C10 = C5×D4×Q8φ: C10/C5C2 ⊆ Out C4×Q8160(C4xQ8):12C10320,1551
(C4×Q8)⋊13C10 = C5×Q86D4φ: C10/C5C2 ⊆ Out C4×Q8160(C4xQ8):13C10320,1552
(C4×Q8)⋊14C10 = C5×C22.46C24φ: C10/C5C2 ⊆ Out C4×Q8160(C4xQ8):14C10320,1554
(C4×Q8)⋊15C10 = C5×D43Q8φ: C10/C5C2 ⊆ Out C4×Q8160(C4xQ8):15C10320,1556
(C4×Q8)⋊16C10 = C5×C22.50C24φ: C10/C5C2 ⊆ Out C4×Q8160(C4xQ8):16C10320,1558
(C4×Q8)⋊17C10 = C5×C22.53C24φ: C10/C5C2 ⊆ Out C4×Q8160(C4xQ8):17C10320,1561
(C4×Q8)⋊18C10 = C4○D4×C20φ: trivial image160(C4xQ8):18C10320,1519

Non-split extensions G=N.Q with N=C4×Q8 and Q=C10
extensionφ:Q→Out NdρLabelID
(C4×Q8).1C10 = C5×Q8⋊C8φ: C10/C5C2 ⊆ Out C4×Q8320(C4xQ8).1C10320,131
(C4×Q8).2C10 = Q16×C20φ: C10/C5C2 ⊆ Out C4×Q8320(C4xQ8).2C10320,940
(C4×Q8).3C10 = C5×Q16⋊C4φ: C10/C5C2 ⊆ Out C4×Q8320(C4xQ8).3C10320,942
(C4×Q8).4C10 = C5×C84Q8φ: C10/C5C2 ⊆ Out C4×Q8320(C4xQ8).4C10320,947
(C4×Q8).5C10 = C5×C42Q16φ: C10/C5C2 ⊆ Out C4×Q8320(C4xQ8).5C10320,963
(C4×Q8).6C10 = C5×Q8⋊Q8φ: C10/C5C2 ⊆ Out C4×Q8320(C4xQ8).6C10320,976
(C4×Q8).7C10 = C5×C4.Q16φ: C10/C5C2 ⊆ Out C4×Q8320(C4xQ8).7C10320,978
(C4×Q8).8C10 = C5×Q8.Q8φ: C10/C5C2 ⊆ Out C4×Q8320(C4xQ8).8C10320,980
(C4×Q8).9C10 = C5×Q83Q8φ: C10/C5C2 ⊆ Out C4×Q8320(C4xQ8).9C10320,1559
(C4×Q8).10C10 = C5×Q82φ: C10/C5C2 ⊆ Out C4×Q8320(C4xQ8).10C10320,1560
(C4×Q8).11C10 = Q8×C40φ: trivial image320(C4xQ8).11C10320,946

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