Extensions 1→N→G→Q→1 with N=C2xF5 and Q=C2

Direct product G=NxQ with N=C2xF5 and Q=C2
dρLabelID
C22xF520C2^2xF580,50

Semidirect products G=N:Q with N=C2xF5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2xF5):C2 = C22:F5φ: C2/C1C2 ⊆ Out C2xF5204+(C2xF5):C280,34

Non-split extensions G=N.Q with N=C2xF5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2xF5).C2 = C4:F5φ: C2/C1C2 ⊆ Out C2xF5204(C2xF5).C280,31
(C2xF5).2C2 = C4xF5φ: trivial image204(C2xF5).2C280,30

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