Extensions 1→N→G→Q→1 with N=Q8:F5 and Q=C2

Direct product G=NxQ with N=Q8:F5 and Q=C2
dρLabelID
C2xQ8:F580C2xQ8:F5320,1119

Semidirect products G=N:Q with N=Q8:F5 and Q=C2
extensionφ:Q→Out NdρLabelID
Q8:F5:1C2 = SD16xF5φ: C2/C1C2 ⊆ Out Q8:F5408Q8:F5:1C2320,1072
Q8:F5:2C2 = SD16:F5φ: C2/C1C2 ⊆ Out Q8:F5408Q8:F5:2C2320,1073
Q8:F5:3C2 = (C2xQ8):4F5φ: C2/C1C2 ⊆ Out Q8:F5808-Q8:F5:3C2320,1120
Q8:F5:4C2 = C4oD4:F5φ: C2/C1C2 ⊆ Out Q8:F5408Q8:F5:4C2320,1131
Q8:F5:5C2 = C4oD20:C4φ: trivial image808Q8:F5:5C2320,1132

Non-split extensions G=N.Q with N=Q8:F5 and Q=C2
extensionφ:Q→Out NdρLabelID
Q8:F5.1C2 = Q16xF5φ: C2/C1C2 ⊆ Out Q8:F5808-Q8:F5.1C2320,1076
Q8:F5.2C2 = Dic20:C4φ: C2/C1C2 ⊆ Out Q8:F5808-Q8:F5.2C2320,1077

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