Extensions 1→N→G→Q→1 with N=C2xC5:D5 and Q=C2

Direct product G=NxQ with N=C2xC5:D5 and Q=C2
dρLabelID
C22xC5:D5100C2^2xC5:D5200,51

Semidirect products G=N:Q with N=C2xC5:D5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2xC5:D5):1C2 = C5:D20φ: C2/C1C2 ⊆ Out C2xC5:D5204+(C2xC5:D5):1C2200,25
(C2xC5:D5):2C2 = C20:D5φ: C2/C1C2 ⊆ Out C2xC5:D5100(C2xC5:D5):2C2200,34
(C2xC5:D5):3C2 = C52:7D4φ: C2/C1C2 ⊆ Out C2xC5:D5100(C2xC5:D5):3C2200,36
(C2xC5:D5):4C2 = C2xD52φ: C2/C1C2 ⊆ Out C2xC5:D5204+(C2xC5:D5):4C2200,49

Non-split extensions G=N.Q with N=C2xC5:D5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2xC5:D5).1C2 = Dic5:2D5φ: C2/C1C2 ⊆ Out C2xC5:D5204+(C2xC5:D5).1C2200,23
(C2xC5:D5).2C2 = C2xC5:F5φ: C2/C1C2 ⊆ Out C2xC5:D550(C2xC5:D5).2C2200,47
(C2xC5:D5).3C2 = C2xC52:C4φ: C2/C1C2 ⊆ Out C2xC5:D5204+(C2xC5:D5).3C2200,48
(C2xC5:D5).4C2 = C4xC5:D5φ: trivial image100(C2xC5:D5).4C2200,33

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