Extensions 1→N→G→Q→1 with N=Dic61 and Q=C2

Direct product G=N×Q with N=Dic61 and Q=C2
dρLabelID
C2×Dic61488C2xDic61488,7

Semidirect products G=N:Q with N=Dic61 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic61⋊C2 = C61⋊D4φ: C2/C1C2 ⊆ Out Dic612442Dic61:C2488,8
Dic612C2 = C4×D61φ: trivial image2442Dic61:2C2488,5

Non-split extensions G=N.Q with N=Dic61 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic61.1C2 = Dic122φ: C2/C1C2 ⊆ Out Dic614882-Dic61.1C2488,4
Dic61.2C2 = C61⋊C8φ: C2/C1C2 ⊆ Out Dic614884-Dic61.2C2488,3

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