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Extensions 1→N→G→Q→1 with N=C5xC4:C4 and Q=C2

Direct product G=NxQ with N=C5xC4:C4 and Q=C2
dρLabelID
C10xC4:C4160C10xC4:C4160,177

Semidirect products G=N:Q with N=C5xC4:C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5xC4:C4):1C2 = D20:6C4φ: C2/C1 → C2 ⊆ Out C5xC4:C480(C5xC4:C4):1C2160,16
(C5xC4:C4):2C2 = D5xC4:C4φ: C2/C1 → C2 ⊆ Out C5xC4:C480(C5xC4:C4):2C2160,112
(C5xC4:C4):3C2 = C4:C4:7D5φ: C2/C1 → C2 ⊆ Out C5xC4:C480(C5xC4:C4):3C2160,113
(C5xC4:C4):4C2 = D20:8C4φ: C2/C1 → C2 ⊆ Out C5xC4:C480(C5xC4:C4):4C2160,114
(C5xC4:C4):5C2 = D10.13D4φ: C2/C1 → C2 ⊆ Out C5xC4:C480(C5xC4:C4):5C2160,115
(C5xC4:C4):6C2 = C4:D20φ: C2/C1 → C2 ⊆ Out C5xC4:C480(C5xC4:C4):6C2160,116
(C5xC4:C4):7C2 = D10:Q8φ: C2/C1 → C2 ⊆ Out C5xC4:C480(C5xC4:C4):7C2160,117
(C5xC4:C4):8C2 = D10:2Q8φ: C2/C1 → C2 ⊆ Out C5xC4:C480(C5xC4:C4):8C2160,118
(C5xC4:C4):9C2 = C4:C4:D5φ: C2/C1 → C2 ⊆ Out C5xC4:C480(C5xC4:C4):9C2160,119
(C5xC4:C4):10C2 = C5xD4:C4φ: C2/C1 → C2 ⊆ Out C5xC4:C480(C5xC4:C4):10C2160,52
(C5xC4:C4):11C2 = C5xC4:D4φ: C2/C1 → C2 ⊆ Out C5xC4:C480(C5xC4:C4):11C2160,182
(C5xC4:C4):12C2 = C5xC22:Q8φ: C2/C1 → C2 ⊆ Out C5xC4:C480(C5xC4:C4):12C2160,183
(C5xC4:C4):13C2 = C5xC22.D4φ: C2/C1 → C2 ⊆ Out C5xC4:C480(C5xC4:C4):13C2160,184
(C5xC4:C4):14C2 = C5xC42:2C2φ: C2/C1 → C2 ⊆ Out C5xC4:C480(C5xC4:C4):14C2160,187
(C5xC4:C4):15C2 = C5xC42:C2φ: trivial image80(C5xC4:C4):15C2160,178
(C5xC4:C4):16C2 = D4xC20φ: trivial image80(C5xC4:C4):16C2160,179

Non-split extensions G=N.Q with N=C5xC4:C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5xC4:C4).1C2 = C10.D8φ: C2/C1 → C2 ⊆ Out C5xC4:C4160(C5xC4:C4).1C2160,14
(C5xC4:C4).2C2 = C20.Q8φ: C2/C1 → C2 ⊆ Out C5xC4:C4160(C5xC4:C4).2C2160,15
(C5xC4:C4).3C2 = C10.Q16φ: C2/C1 → C2 ⊆ Out C5xC4:C4160(C5xC4:C4).3C2160,17
(C5xC4:C4).4C2 = Dic5:3Q8φ: C2/C1 → C2 ⊆ Out C5xC4:C4160(C5xC4:C4).4C2160,108
(C5xC4:C4).5C2 = C20:Q8φ: C2/C1 → C2 ⊆ Out C5xC4:C4160(C5xC4:C4).5C2160,109
(C5xC4:C4).6C2 = Dic5.Q8φ: C2/C1 → C2 ⊆ Out C5xC4:C4160(C5xC4:C4).6C2160,110
(C5xC4:C4).7C2 = C4.Dic10φ: C2/C1 → C2 ⊆ Out C5xC4:C4160(C5xC4:C4).7C2160,111
(C5xC4:C4).8C2 = C5xQ8:C4φ: C2/C1 → C2 ⊆ Out C5xC4:C4160(C5xC4:C4).8C2160,53
(C5xC4:C4).9C2 = C5xC4.Q8φ: C2/C1 → C2 ⊆ Out C5xC4:C4160(C5xC4:C4).9C2160,56
(C5xC4:C4).10C2 = C5xC2.D8φ: C2/C1 → C2 ⊆ Out C5xC4:C4160(C5xC4:C4).10C2160,57
(C5xC4:C4).11C2 = C5xC42.C2φ: C2/C1 → C2 ⊆ Out C5xC4:C4160(C5xC4:C4).11C2160,186
(C5xC4:C4).12C2 = C5xC4:Q8φ: C2/C1 → C2 ⊆ Out C5xC4:C4160(C5xC4:C4).12C2160,189
(C5xC4:C4).13C2 = Q8xC20φ: trivial image160(C5xC4:C4).13C2160,180

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