Extensions 1→N→G→Q→1 with N=C11×Dic5 and Q=C2

Direct product G=N×Q with N=C11×Dic5 and Q=C2
dρLabelID
Dic5×C22440Dic5xC22440,32

Semidirect products G=N:Q with N=C11×Dic5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C11×Dic5)⋊1C2 = Dic5×D11φ: C2/C1C2 ⊆ Out C11×Dic52204-(C11xDic5):1C2440,17
(C11×Dic5)⋊2C2 = D552C4φ: C2/C1C2 ⊆ Out C11×Dic52204+(C11xDic5):2C2440,19
(C11×Dic5)⋊3C2 = C5⋊D44φ: C2/C1C2 ⊆ Out C11×Dic52204+(C11xDic5):3C2440,21
(C11×Dic5)⋊4C2 = C11×C5⋊D4φ: C2/C1C2 ⊆ Out C11×Dic52202(C11xDic5):4C2440,33
(C11×Dic5)⋊5C2 = D5×C44φ: trivial image2202(C11xDic5):5C2440,30

Non-split extensions G=N.Q with N=C11×Dic5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C11×Dic5).1C2 = C55⋊Q8φ: C2/C1C2 ⊆ Out C11×Dic54404-(C11xDic5).1C2440,23
(C11×Dic5).2C2 = C55⋊C8φ: C2/C1C2 ⊆ Out C11×Dic54404(C11xDic5).2C2440,16
(C11×Dic5).3C2 = C11×Dic10φ: C2/C1C2 ⊆ Out C11×Dic54402(C11xDic5).3C2440,29
(C11×Dic5).4C2 = C11×C5⋊C8φ: C2/C1C2 ⊆ Out C11×Dic54404(C11xDic5).4C2440,15

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