Extensions 1→N→G→Q→1 with N=Q8○D8 and Q=C2

Direct product G=N×Q with N=Q8○D8 and Q=C2
dρLabelID
C2×Q8○D864C2xQ8oD8128,2315

Semidirect products G=N:Q with N=Q8○D8 and Q=C2
extensionφ:Q→Out NdρLabelID
Q8○D81C2 = Q16.D4φ: C2/C1C2 ⊆ Out Q8○D8324Q8oD8:1C2128,925
Q8○D82C2 = D8.13D4φ: C2/C1C2 ⊆ Out Q8○D8328-Q8oD8:2C2128,2021
Q8○D83C2 = D8○SD16φ: C2/C1C2 ⊆ Out Q8○D8324Q8oD8:3C2128,2022
Q8○D84C2 = D8○Q16φ: C2/C1C2 ⊆ Out Q8○D8324-Q8oD8:4C2128,2025
Q8○D85C2 = D4○SD32φ: C2/C1C2 ⊆ Out Q8○D8324Q8oD8:5C2128,2148
Q8○D86C2 = Q8○D16φ: C2/C1C2 ⊆ Out Q8○D8644-Q8oD8:6C2128,2149
Q8○D87C2 = C4.C25φ: C2/C1C2 ⊆ Out Q8○D8328-Q8oD8:7C2128,2318
Q8○D88C2 = C8.C24φ: trivial image324Q8oD8:8C2128,2316

Non-split extensions G=N.Q with N=Q8○D8 and Q=C2
extensionφ:Q→Out NdρLabelID
Q8○D8.C2 = D8.12D4φ: C2/C1C2 ⊆ Out Q8○D8644-Q8oD8.C2128,927

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