Extensions 1→N→G→Q→1 with N=D5xC21 and Q=C2

Direct product G=NxQ with N=D5xC21 and Q=C2
dρLabelID
D5xC422102D5xC42420,35

Semidirect products G=N:Q with N=D5xC21 and Q=C2
extensionφ:Q→Out NdρLabelID
(D5xC21):1C2 = D5xD21φ: C2/C1C2 ⊆ Out D5xC211054+(D5xC21):1C2420,28
(D5xC21):2C2 = C3xD5xD7φ: C2/C1C2 ⊆ Out D5xC211054(D5xC21):2C2420,24
(D5xC21):3C2 = S3xC7xD5φ: C2/C1C2 ⊆ Out D5xC211054(D5xC21):3C2420,27

Non-split extensions G=N.Q with N=D5xC21 and Q=C2
extensionφ:Q→Out NdρLabelID
(D5xC21).1C2 = C5:Dic21φ: C2/C1C2 ⊆ Out D5xC211054(D5xC21).1C2420,23
(D5xC21).2C2 = C3xC7:F5φ: C2/C1C2 ⊆ Out D5xC211054(D5xC21).2C2420,21
(D5xC21).3C2 = C7xC3:F5φ: C2/C1C2 ⊆ Out D5xC211054(D5xC21).3C2420,22
(D5xC21).4C2 = F5xC21φ: C2/C1C2 ⊆ Out D5xC211054(D5xC21).4C2420,20

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