Extensions 1→N→G→Q→1 with N=D5⋊C8 and Q=C2

Direct product G=N×Q with N=D5⋊C8 and Q=C2
dρLabelID
C2×D5⋊C880C2xD5:C8160,200

Semidirect products G=N:Q with N=D5⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
D5⋊C81C2 = D20⋊C4φ: C2/C1C2 ⊆ Out D5⋊C8408+D5:C8:1C2160,82
D5⋊C82C2 = D4.F5φ: C2/C1C2 ⊆ Out D5⋊C8808-D5:C8:2C2160,206
D5⋊C83C2 = Q8.F5φ: C2/C1C2 ⊆ Out D5⋊C8808+D5:C8:3C2160,208
D5⋊C84C2 = D5⋊M4(2)φ: C2/C1C2 ⊆ Out D5⋊C8404D5:C8:4C2160,202

Non-split extensions G=N.Q with N=D5⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
D5⋊C8.1C2 = Q8⋊F5φ: C2/C1C2 ⊆ Out D5⋊C8408-D5:C8.1C2160,84
D5⋊C8.2C2 = C8⋊F5φ: C2/C1C2 ⊆ Out D5⋊C8404D5:C8.2C2160,67
D5⋊C8.3C2 = C8×F5φ: trivial image404D5:C8.3C2160,66

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