Extensions 1→N→G→Q→1 with N=C5:2C8 and Q=C2

Direct product G=NxQ with N=C5:2C8 and Q=C2
dρLabelID
C2xC5:2C880C2xC5:2C880,9

Semidirect products G=N:Q with N=C5:2C8 and Q=C2
extensionφ:Q→Out NdρLabelID
C5:2C8:1C2 = D4:D5φ: C2/C1C2 ⊆ Out C5:2C8404+C5:2C8:1C280,15
C5:2C8:2C2 = D4.D5φ: C2/C1C2 ⊆ Out C5:2C8404-C5:2C8:2C280,16
C5:2C8:3C2 = Q8:D5φ: C2/C1C2 ⊆ Out C5:2C8404+C5:2C8:3C280,17
C5:2C8:4C2 = C8:D5φ: C2/C1C2 ⊆ Out C5:2C8402C5:2C8:4C280,5
C5:2C8:5C2 = C4.Dic5φ: C2/C1C2 ⊆ Out C5:2C8402C5:2C8:5C280,10
C5:2C8:6C2 = C8xD5φ: trivial image402C5:2C8:6C280,4

Non-split extensions G=N.Q with N=C5:2C8 and Q=C2
extensionφ:Q→Out NdρLabelID
C5:2C8.1C2 = C5:Q16φ: C2/C1C2 ⊆ Out C5:2C8804-C5:2C8.1C280,18
C5:2C8.2C2 = C5:C16φ: C2/C1C2 ⊆ Out C5:2C8804C5:2C8.2C280,3

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