Extensions 1→N→G→Q→1 with N=C2×Q8 and Q=Dic5

Direct product G=N×Q with N=C2×Q8 and Q=Dic5
dρLabelID
C2×Q8×Dic5320C2xQ8xDic5320,1483

Semidirect products G=N:Q with N=C2×Q8 and Q=Dic5
extensionφ:Q→Out NdρLabelID
(C2×Q8)⋊1Dic5 = C10.29C4≀C2φ: Dic5/C5C4 ⊆ Out C2×Q880(C2xQ8):1Dic5320,96
(C2×Q8)⋊2Dic5 = C42⋊Dic5φ: Dic5/C5C4 ⊆ Out C2×Q8804(C2xQ8):2Dic5320,99
(C2×Q8)⋊3Dic5 = C2×Q8⋊Dic5φ: Dic5/C10C2 ⊆ Out C2×Q8320(C2xQ8):3Dic5320,851
(C2×Q8)⋊4Dic5 = (Q8×C10)⋊16C4φ: Dic5/C10C2 ⊆ Out C2×Q8160(C2xQ8):4Dic5320,852
(C2×Q8)⋊5Dic5 = (Q8×C10)⋊17C4φ: Dic5/C10C2 ⊆ Out C2×Q8320(C2xQ8):5Dic5320,857
(C2×Q8)⋊6Dic5 = C2×D42Dic5φ: Dic5/C10C2 ⊆ Out C2×Q880(C2xQ8):6Dic5320,862
(C2×Q8)⋊7Dic5 = (D4×C10)⋊21C4φ: Dic5/C10C2 ⊆ Out C2×Q8804(C2xQ8):7Dic5320,863
(C2×Q8)⋊8Dic5 = (D4×C10)⋊22C4φ: Dic5/C10C2 ⊆ Out C2×Q8804(C2xQ8):8Dic5320,867
(C2×Q8)⋊9Dic5 = C10.422- 1+4φ: Dic5/C10C2 ⊆ Out C2×Q8160(C2xQ8):9Dic5320,1484

Non-split extensions G=N.Q with N=C2×Q8 and Q=Dic5
extensionφ:Q→Out NdρLabelID
(C2×Q8).1Dic5 = C42.7D10φ: Dic5/C5C4 ⊆ Out C2×Q8160(C2xQ8).1Dic5320,98
(C2×Q8).2Dic5 = C20.5Q16φ: Dic5/C5C4 ⊆ Out C2×Q8320(C2xQ8).2Dic5320,104
(C2×Q8).3Dic5 = C42.3Dic5φ: Dic5/C5C4 ⊆ Out C2×Q8804(C2xQ8).3Dic5320,106
(C2×Q8).4Dic5 = C20.26Q16φ: Dic5/C10C2 ⊆ Out C2×Q8320(C2xQ8).4Dic5320,93
(C2×Q8).5Dic5 = C42.210D10φ: Dic5/C10C2 ⊆ Out C2×Q8320(C2xQ8).5Dic5320,651
(C2×Q8).6Dic5 = C2×C20.10D4φ: Dic5/C10C2 ⊆ Out C2×Q8160(C2xQ8).6Dic5320,853
(C2×Q8).7Dic5 = (D4×C10).24C4φ: Dic5/C10C2 ⊆ Out C2×Q8160(C2xQ8).7Dic5320,861
(C2×Q8).8Dic5 = C20.76C24φ: Dic5/C10C2 ⊆ Out C2×Q8804(C2xQ8).8Dic5320,1491
(C2×Q8).9Dic5 = Q8×C52C8φ: trivial image320(C2xQ8).9Dic5320,650
(C2×Q8).10Dic5 = C2×D4.Dic5φ: trivial image160(C2xQ8).10Dic5320,1490

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