Extensions 1→N→G→Q→1 with N=C11xDic5 and Q=C2

Direct product G=NxQ with N=C11xDic5 and Q=C2
dρLabelID
Dic5xC22440Dic5xC22440,32

Semidirect products G=N:Q with N=C11xDic5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C11xDic5):1C2 = Dic5xD11φ: C2/C1C2 ⊆ Out C11xDic52204-(C11xDic5):1C2440,17
(C11xDic5):2C2 = D55:2C4φ: C2/C1C2 ⊆ Out C11xDic52204+(C11xDic5):2C2440,19
(C11xDic5):3C2 = C5:D44φ: C2/C1C2 ⊆ Out C11xDic52204+(C11xDic5):3C2440,21
(C11xDic5):4C2 = C11xC5:D4φ: C2/C1C2 ⊆ Out C11xDic52202(C11xDic5):4C2440,33
(C11xDic5):5C2 = D5xC44φ: trivial image2202(C11xDic5):5C2440,30

Non-split extensions G=N.Q with N=C11xDic5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C11xDic5).1C2 = C55:Q8φ: C2/C1C2 ⊆ Out C11xDic54404-(C11xDic5).1C2440,23
(C11xDic5).2C2 = C55:C8φ: C2/C1C2 ⊆ Out C11xDic54404(C11xDic5).2C2440,16
(C11xDic5).3C2 = C11xDic10φ: C2/C1C2 ⊆ Out C11xDic54402(C11xDic5).3C2440,29
(C11xDic5).4C2 = C11xC5:C8φ: C2/C1C2 ⊆ Out C11xDic54404(C11xDic5).4C2440,15

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