Extensions 1→N→G→Q→1 with N=Q8 and Q=C36

Direct product G=NxQ with N=Q8 and Q=C36
dρLabelID
Q8xC36288Q8xC36288,169

Semidirect products G=N:Q with N=Q8 and Q=C36
extensionφ:Q→Out NdρLabelID
Q8:C36 = C4xQ8:C9φ: C36/C12C3 ⊆ Out Q8288Q8:C36288,72
Q8:2C36 = C9xQ8:C4φ: C36/C18C2 ⊆ Out Q8288Q8:2C36288,53
Q8:3C36 = C9xC4wrC2φ: C36/C18C2 ⊆ Out Q8722Q8:3C36288,54

Non-split extensions G=N.Q with N=Q8 and Q=C36
extensionφ:Q→Out NdρLabelID
Q8.C36 = Q8.C36φ: C36/C12C3 ⊆ Out Q81442Q8.C36288,77
Q8.2C36 = C9xC8oD4φ: trivial image1442Q8.2C36288,181

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