Extensions 1→N→G→Q→1 with N=C4oD8 and Q=C10

Direct product G=NxQ with N=C4oD8 and Q=C10
dρLabelID
C10xC4oD8160C10xC4oD8320,1574

Semidirect products G=N:Q with N=C4oD8 and Q=C10
extensionφ:Q→Out NdρLabelID
C4oD8:1C10 = C5xC4oD16φ: C10/C5C2 ⊆ Out C4oD81602C4oD8:1C10320,1009
C4oD8:2C10 = C5xC16:C22φ: C10/C5C2 ⊆ Out C4oD8804C4oD8:2C10320,1010
C4oD8:3C10 = C5xD8:C22φ: C10/C5C2 ⊆ Out C4oD8804C4oD8:3C10320,1577
C4oD8:4C10 = C5xD4oD8φ: C10/C5C2 ⊆ Out C4oD8804C4oD8:4C10320,1578
C4oD8:5C10 = C5xD4oSD16φ: C10/C5C2 ⊆ Out C4oD8804C4oD8:5C10320,1579
C4oD8:6C10 = C5xQ8oD8φ: C10/C5C2 ⊆ Out C4oD81604C4oD8:6C10320,1580

Non-split extensions G=N.Q with N=C4oD8 and Q=C10
extensionφ:Q→Out NdρLabelID
C4oD8.1C10 = C5xD8.C4φ: C10/C5C2 ⊆ Out C4oD81602C4oD8.1C10320,164
C4oD8.2C10 = C5xD8:2C4φ: C10/C5C2 ⊆ Out C4oD8804C4oD8.2C10320,165
C4oD8.3C10 = C5xC8.26D4φ: C10/C5C2 ⊆ Out C4oD8804C4oD8.3C10320,945
C4oD8.4C10 = C5xQ32:C2φ: C10/C5C2 ⊆ Out C4oD81604C4oD8.4C10320,1011
C4oD8.5C10 = C5xC8oD8φ: trivial image802C4oD8.5C10320,944

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