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Extensions 1→N→G→Q→1 with N=Q8:C4 and Q=C2

Direct product G=NxQ with N=Q8:C4 and Q=C2
dρLabelID
C2xQ8:C464C2xQ8:C464,96

Semidirect products G=N:Q with N=Q8:C4 and Q=C2
extensionφ:Q→Out NdρLabelID
Q8:C4:1C2 = C8:8D4φ: C2/C1 → C2 ⊆ Out Q8:C432Q8:C4:1C264,146
Q8:C4:2C2 = C8.18D4φ: C2/C1 → C2 ⊆ Out Q8:C432Q8:C4:2C264,148
Q8:C4:3C2 = C42.78C22φ: C2/C1 → C2 ⊆ Out Q8:C432Q8:C4:3C264,169
Q8:C4:4C2 = D4:D4φ: C2/C1 → C2 ⊆ Out Q8:C432Q8:C4:4C264,130
Q8:C4:5C2 = C22:Q16φ: C2/C1 → C2 ⊆ Out Q8:C432Q8:C4:5C264,132
Q8:C4:6C2 = D4.2D4φ: C2/C1 → C2 ⊆ Out Q8:C432Q8:C4:6C264,144
Q8:C4:7C2 = C23.48D4φ: C2/C1 → C2 ⊆ Out Q8:C432Q8:C4:7C264,165
Q8:C4:8C2 = C23.20D4φ: C2/C1 → C2 ⊆ Out Q8:C432Q8:C4:8C264,166
Q8:C4:9C2 = Q8:D4φ: C2/C1 → C2 ⊆ Out Q8:C432Q8:C4:9C264,129
Q8:C4:10C2 = D4.7D4φ: C2/C1 → C2 ⊆ Out Q8:C432Q8:C4:10C264,133
Q8:C4:11C2 = D4.D4φ: C2/C1 → C2 ⊆ Out Q8:C432Q8:C4:11C264,142
Q8:C4:12C2 = Q8.D4φ: C2/C1 → C2 ⊆ Out Q8:C432Q8:C4:12C264,145
Q8:C4:13C2 = C23.47D4φ: C2/C1 → C2 ⊆ Out Q8:C432Q8:C4:13C264,164
Q8:C4:14C2 = C23.36D4φ: C2/C1 → C2 ⊆ Out Q8:C432Q8:C4:14C264,98
Q8:C4:15C2 = C23.38D4φ: C2/C1 → C2 ⊆ Out Q8:C432Q8:C4:15C264,100
Q8:C4:16C2 = SD16:C4φ: C2/C1 → C2 ⊆ Out Q8:C432Q8:C4:16C264,121
Q8:C4:17C2 = C8:D4φ: C2/C1 → C2 ⊆ Out Q8:C432Q8:C4:17C264,149
Q8:C4:18C2 = C8.D4φ: C2/C1 → C2 ⊆ Out Q8:C432Q8:C4:18C264,151
Q8:C4:19C2 = C42.28C22φ: C2/C1 → C2 ⊆ Out Q8:C432Q8:C4:19C264,170
Q8:C4:20C2 = C23.24D4φ: trivial image32Q8:C4:20C264,97
Q8:C4:21C2 = C4xSD16φ: trivial image32Q8:C4:21C264,119

Non-split extensions G=N.Q with N=Q8:C4 and Q=C2
extensionφ:Q→Out NdρLabelID
Q8:C4.1C2 = C4.SD16φ: C2/C1 → C2 ⊆ Out Q8:C464Q8:C4.1C264,168
Q8:C4.2C2 = C4:2Q16φ: C2/C1 → C2 ⊆ Out Q8:C464Q8:C4.2C264,143
Q8:C4.3C2 = C4.Q16φ: C2/C1 → C2 ⊆ Out Q8:C464Q8:C4.3C264,158
Q8:C4.4C2 = Q8:Q8φ: C2/C1 → C2 ⊆ Out Q8:C464Q8:C4.4C264,156
Q8:C4.5C2 = Q8.Q8φ: C2/C1 → C2 ⊆ Out Q8:C464Q8:C4.5C264,160
Q8:C4.6C2 = Q16:C4φ: C2/C1 → C2 ⊆ Out Q8:C464Q8:C4.6C264,122
Q8:C4.7C2 = C42.30C22φ: C2/C1 → C2 ⊆ Out Q8:C464Q8:C4.7C264,172
Q8:C4.8C2 = C4xQ16φ: trivial image64Q8:C4.8C264,120

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