Extensions 1→N→G→Q→1 with N=D8 and Q=C8

Direct product G=N×Q with N=D8 and Q=C8
dρLabelID
C8×D864C8xD8128,307

Semidirect products G=N:Q with N=D8 and Q=C8
extensionφ:Q→Out NdρLabelID
D81C8 = C4.16D16φ: C8/C4C2 ⊆ Out D864D8:1C8128,63
D82C8 = C8≀C2φ: C8/C4C2 ⊆ Out D8162D8:2C8128,67
D83C8 = D8⋊C8φ: C8/C4C2 ⊆ Out D864D8:3C8128,65
D84C8 = C8.32D8φ: C8/C4C2 ⊆ Out D8164D8:4C8128,68
D85C8 = D85C8φ: C8/C4C2 ⊆ Out D864D8:5C8128,312

Non-split extensions G=N.Q with N=D8 and Q=C8
extensionφ:Q→Out NdρLabelID
D8.C8 = D8.C8φ: C8/C4C2 ⊆ Out D8324D8.C8128,903
D8.2C8 = C16○D8φ: trivial image322D8.2C8128,902

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