Extensions 1→N→G→Q→1 with N=D8 and Q=C22

Direct product G=N×Q with N=D8 and Q=C22
dρLabelID
D8×C22176D8xC22352,167

Semidirect products G=N:Q with N=D8 and Q=C22
extensionφ:Q→Out NdρLabelID
D81C22 = C11×D16φ: C22/C11C2 ⊆ Out D81762D8:1C22352,60
D82C22 = C11×C8⋊C22φ: C22/C11C2 ⊆ Out D8884D8:2C22352,171
D83C22 = C11×C4○D8φ: trivial image1762D8:3C22352,170

Non-split extensions G=N.Q with N=D8 and Q=C22
extensionφ:Q→Out NdρLabelID
D8.C22 = C11×SD32φ: C22/C11C2 ⊆ Out D81762D8.C22352,61

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