Extensions 1→N→G→Q→1 with N=Dic11 and Q=D5

Direct product G=NxQ with N=Dic11 and Q=D5
dρLabelID
D5xDic112204-D5xDic11440,18

Semidirect products G=N:Q with N=Dic11 and Q=D5
extensionφ:Q→Out NdρLabelID
Dic11:D5 = C11:D20φ: D5/C5C2 ⊆ Out Dic112204+Dic11:D5440,22
Dic11:2D5 = D55:2C4φ: trivial image2204+Dic11:2D5440,19

Non-split extensions G=N.Q with N=Dic11 and Q=D5
extensionφ:Q→Out NdρLabelID
Dic11.D5 = C55:Q8φ: D5/C5C2 ⊆ Out Dic114404-Dic11.D5440,23

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