Extensions 1→N→G→Q→1 with N=Q8 and Q=C34

Direct product G=N×Q with N=Q8 and Q=C34
dρLabelID
Q8×C34272Q8xC34272,48

Semidirect products G=N:Q with N=Q8 and Q=C34
extensionφ:Q→Out NdρLabelID
Q8⋊C34 = SD16×C17φ: C34/C17C2 ⊆ Out Q81362Q8:C34272,26
Q82C34 = C4○D4×C17φ: trivial image1362Q8:2C34272,49

Non-split extensions G=N.Q with N=Q8 and Q=C34
extensionφ:Q→Out NdρLabelID
Q8.C34 = Q16×C17φ: C34/C17C2 ⊆ Out Q82722Q8.C34272,27

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