Extensions 1→N→G→Q→1 with N=D5xDic3 and Q=C2

Direct product G=NxQ with N=D5xDic3 and Q=C2
dρLabelID
C2xD5xDic3120C2xD5xDic3240,139

Semidirect products G=N:Q with N=D5xDic3 and Q=C2
extensionφ:Q→Out NdρLabelID
(D5xDic3):1C2 = D20:5S3φ: C2/C1C2 ⊆ Out D5xDic31204-(D5xDic3):1C2240,126
(D5xDic3):2C2 = D20:S3φ: C2/C1C2 ⊆ Out D5xDic31204(D5xDic3):2C2240,127
(D5xDic3):3C2 = Dic5.D6φ: C2/C1C2 ⊆ Out D5xDic31204(D5xDic3):3C2240,140
(D5xDic3):4C2 = C30.C23φ: C2/C1C2 ⊆ Out D5xDic31204-(D5xDic3):4C2240,141
(D5xDic3):5C2 = D5xC3:D4φ: C2/C1C2 ⊆ Out D5xDic3604(D5xDic3):5C2240,149
(D5xDic3):6C2 = C4xS3xD5φ: trivial image604(D5xDic3):6C2240,135

Non-split extensions G=N.Q with N=D5xDic3 and Q=C2
extensionφ:Q→Out NdρLabelID
(D5xDic3).1C2 = D5xDic6φ: C2/C1C2 ⊆ Out D5xDic31204-(D5xDic3).1C2240,125
(D5xDic3).2C2 = Dic3xF5φ: C2/C1C2 ⊆ Out D5xDic3608-(D5xDic3).2C2240,95
(D5xDic3).3C2 = Dic3:F5φ: C2/C1C2 ⊆ Out D5xDic3608-(D5xDic3).3C2240,97

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