Extensions 1→N→G→Q→1 with N=D8 and Q=Q8

Direct product G=N×Q with N=D8 and Q=Q8
dρLabelID
Q8×D864Q8xD8128,2110

Semidirect products G=N:Q with N=D8 and Q=Q8
extensionφ:Q→Out NdρLabelID
D81Q8 = D81Q8φ: Q8/C4C2 ⊆ Out D864D8:1Q8128,956
D82Q8 = D8⋊Q8φ: Q8/C4C2 ⊆ Out D864D8:2Q8128,958
D83Q8 = D83Q8φ: Q8/C4C2 ⊆ Out D8164D8:3Q8128,962
D84Q8 = D84Q8φ: Q8/C4C2 ⊆ Out D864D8:4Q8128,2116
D85Q8 = D85Q8φ: Q8/C4C2 ⊆ Out D864D8:5Q8128,2121
D86Q8 = D86Q8φ: trivial image64D8:6Q8128,2112

Non-split extensions G=N.Q with N=D8 and Q=Q8
extensionφ:Q→Out NdρLabelID
D8.1Q8 = D8.Q8φ: Q8/C4C2 ⊆ Out D864D8.1Q8128,960
D8.2Q8 = D8.2Q8φ: Q8/C4C2 ⊆ Out D8324D8.2Q8128,963

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