Extensions 1→N→G→Q→1 with N=D4 and Q=C2×C26

Direct product G=N×Q with N=D4 and Q=C2×C26

Semidirect products G=N:Q with N=D4 and Q=C2×C26
extensionφ:Q→Out NdρLabelID
D41(C2×C26) = D8×C26φ: C2×C26/C26C2 ⊆ Out D4208D4:1(C2xC26)416,193
D42(C2×C26) = C13×C8⋊C22φ: C2×C26/C26C2 ⊆ Out D41044D4:2(C2xC26)416,197
D43(C2×C26) = C4○D4×C26φ: trivial image208D4:3(C2xC26)416,230
D44(C2×C26) = C13×2+ 1+4φ: trivial image1044D4:4(C2xC26)416,231

Non-split extensions G=N.Q with N=D4 and Q=C2×C26
extensionφ:Q→Out NdρLabelID
D4.1(C2×C26) = SD16×C26φ: C2×C26/C26C2 ⊆ Out D4208D4.1(C2xC26)416,194
D4.2(C2×C26) = C13×C4○D8φ: C2×C26/C26C2 ⊆ Out D42082D4.2(C2xC26)416,196
D4.3(C2×C26) = C13×C8.C22φ: C2×C26/C26C2 ⊆ Out D42084D4.3(C2xC26)416,198
D4.4(C2×C26) = C13×2- 1+4φ: trivial image2084D4.4(C2xC26)416,232