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Extensions 1→N→G→Q→1 with N=C4:C4 and Q=C8

Direct product G=NxQ with N=C4:C4 and Q=C8
dρLabelID
C8xC4:C4128C8xC4:C4128,501

Semidirect products G=N:Q with N=C4:C4 and Q=C8
extensionφ:Q→Out NdρLabelID
C4:C4:C8 = C4:C4:C8φ: C8/C2 → C4 ⊆ Out C4:C4128C4:C4:C8128,3
C4:C4:2C8 = C42.46Q8φ: C8/C4 → C2 ⊆ Out C4:C4128C4:C4:2C8128,11
C4:C4:3C8 = C4:C4:3C8φ: C8/C4 → C2 ⊆ Out C4:C4128C4:C4:3C8128,648
C4:C4:4C8 = C42.61Q8φ: C8/C4 → C2 ⊆ Out C4:C4128C4:C4:4C8128,671

Non-split extensions G=N.Q with N=C4:C4 and Q=C8
extensionφ:Q→Out NdρLabelID
C4:C4.1C8 = C23.7M4(2)φ: C8/C2 → C4 ⊆ Out C4:C464C4:C4.1C8128,55
C4:C4.2C8 = C8.31D8φ: C8/C2 → C4 ⊆ Out C4:C464C4:C4.2C8128,62
C4:C4.3C8 = C8.17Q16φ: C8/C2 → C4 ⊆ Out C4:C4128C4:C4.3C8128,70
C4:C4.4C8 = D4:C16φ: C8/C4 → C2 ⊆ Out C4:C464C4:C4.4C8128,61
C4:C4.5C8 = Q8:C16φ: C8/C4 → C2 ⊆ Out C4:C4128C4:C4.5C8128,69
C4:C4.6C8 = M5(2):7C4φ: C8/C4 → C2 ⊆ Out C4:C464C4:C4.6C8128,111
C4:C4.7C8 = C4:C4.7C8φ: C8/C4 → C2 ⊆ Out C4:C464C4:C4.7C8128,883
C4:C4.8C8 = C8.12M4(2)φ: C8/C4 → C2 ⊆ Out C4:C464C4:C4.8C8128,896
C4:C4.9C8 = C16:9D4φ: C8/C4 → C2 ⊆ Out C4:C464C4:C4.9C8128,900
C4:C4.10C8 = C16:6D4φ: C8/C4 → C2 ⊆ Out C4:C464C4:C4.10C8128,901
C4:C4.11C8 = C16:4Q8φ: C8/C4 → C2 ⊆ Out C4:C4128C4:C4.11C8128,915
C4:C4.12C8 = C16o2M5(2)φ: trivial image64C4:C4.12C8128,840
C4:C4.13C8 = D4xC16φ: trivial image64C4:C4.13C8128,899
C4:C4.14C8 = Q8xC16φ: trivial image128C4:C4.14C8128,914

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