Extensions 1→N→G→Q→1 with N=C8 and Q=C2×C26

Direct product G=N×Q with N=C8 and Q=C2×C26
dρLabelID
C22×C104416C2^2xC104416,190

Semidirect products G=N:Q with N=C8 and Q=C2×C26
extensionφ:Q→Aut NdρLabelID
C8⋊(C2×C26) = C13×C8⋊C22φ: C2×C26/C13C22 ⊆ Aut C81044C8:(C2xC26)416,197
C82(C2×C26) = D8×C26φ: C2×C26/C26C2 ⊆ Aut C8208C8:2(C2xC26)416,193
C83(C2×C26) = SD16×C26φ: C2×C26/C26C2 ⊆ Aut C8208C8:3(C2xC26)416,194
C84(C2×C26) = M4(2)×C26φ: C2×C26/C26C2 ⊆ Aut C8208C8:4(C2xC26)416,191

Non-split extensions G=N.Q with N=C8 and Q=C2×C26
extensionφ:Q→Aut NdρLabelID
C8.(C2×C26) = C13×C8.C22φ: C2×C26/C13C22 ⊆ Aut C82084C8.(C2xC26)416,198
C8.2(C2×C26) = C13×D16φ: C2×C26/C26C2 ⊆ Aut C82082C8.2(C2xC26)416,61
C8.3(C2×C26) = C13×SD32φ: C2×C26/C26C2 ⊆ Aut C82082C8.3(C2xC26)416,62
C8.4(C2×C26) = C13×Q32φ: C2×C26/C26C2 ⊆ Aut C84162C8.4(C2xC26)416,63
C8.5(C2×C26) = Q16×C26φ: C2×C26/C26C2 ⊆ Aut C8416C8.5(C2xC26)416,195
C8.6(C2×C26) = C13×C4○D8φ: C2×C26/C26C2 ⊆ Aut C82082C8.6(C2xC26)416,196
C8.7(C2×C26) = C13×C8○D4φ: C2×C26/C26C2 ⊆ Aut C82082C8.7(C2xC26)416,192
C8.8(C2×C26) = C13×M5(2)central extension (φ=1)2082C8.8(C2xC26)416,60

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