Extensions 1→N→G→Q→1 with N=C8 and Q=Q8

Direct product G=NxQ with N=C8 and Q=Q8
dρLabelID
C8xQ864C8xQ864,126

Semidirect products G=N:Q with N=C8 and Q=Q8
extensionφ:Q→Aut NdρLabelID
C8:Q8 = C8:Q8φ: Q8/C2C22 ⊆ Aut C864C8:Q864,182
C8:2Q8 = C8:2Q8φ: Q8/C4C2 ⊆ Aut C864C8:2Q864,181
C8:3Q8 = C8:3Q8φ: Q8/C4C2 ⊆ Aut C864C8:3Q864,179
C8:4Q8 = C8:4Q8φ: Q8/C4C2 ⊆ Aut C864C8:4Q864,127

Non-split extensions G=N.Q with N=C8 and Q=Q8
extensionφ:Q→Aut NdρLabelID
C8.Q8 = C8.Q8φ: Q8/C2C22 ⊆ Aut C8164C8.Q864,46
C8.2Q8 = C16:3C4φ: Q8/C4C2 ⊆ Aut C864C8.2Q864,47
C8.3Q8 = C16:4C4φ: Q8/C4C2 ⊆ Aut C864C8.3Q864,48
C8.4Q8 = C8.4Q8φ: Q8/C4C2 ⊆ Aut C8322C8.4Q864,49
C8.5Q8 = C8.5Q8φ: Q8/C4C2 ⊆ Aut C864C8.5Q864,180
C8.6Q8 = C8.C8φ: Q8/C4C2 ⊆ Aut C8162C8.6Q864,45
C8.7Q8 = C4:C16central extension (φ=1)64C8.7Q864,44

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