Extensions 1→N→G→Q→1 with N=C4.F5 and Q=C2

Direct product G=N×Q with N=C4.F5 and Q=C2
dρLabelID
C2×C4.F580C2xC4.F5160,201

Semidirect products G=N:Q with N=C4.F5 and Q=C2
extensionφ:Q→Out NdρLabelID
C4.F51C2 = D4⋊F5φ: C2/C1C2 ⊆ Out C4.F5408-C4.F5:1C2160,83
C4.F52C2 = Q82F5φ: C2/C1C2 ⊆ Out C4.F5408+C4.F5:2C2160,85
C4.F53C2 = D4.F5φ: C2/C1C2 ⊆ Out C4.F5808-C4.F5:3C2160,206
C4.F54C2 = Q8.F5φ: C2/C1C2 ⊆ Out C4.F5808+C4.F5:4C2160,208
C4.F55C2 = D5⋊M4(2)φ: trivial image404C4.F5:5C2160,202

Non-split extensions G=N.Q with N=C4.F5 and Q=C2
extensionφ:Q→Out NdρLabelID
C4.F5.1C2 = C40.C4φ: C2/C1C2 ⊆ Out C4.F5804C4.F5.1C2160,70
C4.F5.2C2 = D10.Q8φ: C2/C1C2 ⊆ Out C4.F5804C4.F5.2C2160,71

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