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

Direct product G=N×Q with N=C8 and Q=C2
dρLabelID
C2×C816C2xC816,5

Semidirect products G=N:Q with N=C8 and Q=C2
extensionφ:Q→Aut NdρLabelID
C81C2 = D8φ: C2/C1C2 ⊆ Aut C882+C8:1C216,7
C82C2 = SD16φ: C2/C1C2 ⊆ Aut C882C8:2C216,8
C83C2 = M4(2)φ: C2/C1C2 ⊆ Aut C882C8:3C216,6

Non-split extensions G=N.Q with N=C8 and Q=C2
extensionφ:Q→Aut NdρLabelID
C8.C2 = Q16φ: C2/C1C2 ⊆ Aut C8162-C8.C216,9

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