Extensions 1→N→G→Q→1 with N=C6xD5 and Q=C2

Direct product G=NxQ with N=C6xD5 and Q=C2
dρLabelID
D5xC2xC660D5xC2xC6120,44

Semidirect products G=N:Q with N=C6xD5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C6xD5):1C2 = C15:D4φ: C2/C1C2 ⊆ Out C6xD5604-(C6xD5):1C2120,11
(C6xD5):2C2 = C3:D20φ: C2/C1C2 ⊆ Out C6xD5604+(C6xD5):2C2120,12
(C6xD5):3C2 = C2xS3xD5φ: C2/C1C2 ⊆ Out C6xD5304+(C6xD5):3C2120,42
(C6xD5):4C2 = C3xD20φ: C2/C1C2 ⊆ Out C6xD5602(C6xD5):4C2120,18
(C6xD5):5C2 = C3xC5:D4φ: C2/C1C2 ⊆ Out C6xD5602(C6xD5):5C2120,20

Non-split extensions G=N.Q with N=C6xD5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C6xD5).1C2 = D5xDic3φ: C2/C1C2 ⊆ Out C6xD5604-(C6xD5).1C2120,8
(C6xD5).2C2 = C2xC3:F5φ: C2/C1C2 ⊆ Out C6xD5304(C6xD5).2C2120,41
(C6xD5).3C2 = C6xF5φ: C2/C1C2 ⊆ Out C6xD5304(C6xD5).3C2120,40
(C6xD5).4C2 = D5xC12φ: trivial image602(C6xD5).4C2120,17

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