Extensions 1→N→G→Q→1 with N=C4 and Q=Q8×C13

Direct product G=N×Q with N=C4 and Q=Q8×C13
dρLabelID
Q8×C52416Q8xC52416,180

Semidirect products G=N:Q with N=C4 and Q=Q8×C13
extensionφ:Q→Aut NdρLabelID
C4⋊(Q8×C13) = C13×C4⋊Q8φ: Q8×C13/C52C2 ⊆ Aut C4416C4:(Q8xC13)416,189

Non-split extensions G=N.Q with N=C4 and Q=Q8×C13
extensionφ:Q→Aut NdρLabelID
C4.1(Q8×C13) = C13×C4.Q8φ: Q8×C13/C52C2 ⊆ Aut C4416C4.1(Q8xC13)416,56
C4.2(Q8×C13) = C13×C2.D8φ: Q8×C13/C52C2 ⊆ Aut C4416C4.2(Q8xC13)416,57
C4.3(Q8×C13) = C13×C42.C2φ: Q8×C13/C52C2 ⊆ Aut C4416C4.3(Q8xC13)416,186
C4.4(Q8×C13) = C13×C4⋊C8central extension (φ=1)416C4.4(Q8xC13)416,55

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