Extensions 1→N→G→Q→1 with N=C4×C13⋊C4 and Q=C2

Direct product G=N×Q with N=C4×C13⋊C4 and Q=C2
dρLabelID
C2×C4×C13⋊C4104C2xC4xC13:C4416,202

Semidirect products G=N:Q with N=C4×C13⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C4×C13⋊C4)⋊1C2 = Dic26⋊C4φ: C2/C1C2 ⊆ Out C4×C13⋊C41048-(C4xC13:C4):1C2416,83
(C4×C13⋊C4)⋊2C2 = D52⋊C4φ: C2/C1C2 ⊆ Out C4×C13⋊C41048+(C4xC13:C4):2C2416,85
(C4×C13⋊C4)⋊3C2 = D4×C13⋊C4φ: C2/C1C2 ⊆ Out C4×C13⋊C4528+(C4xC13:C4):3C2416,206
(C4×C13⋊C4)⋊4C2 = D26.C23φ: C2/C1C2 ⊆ Out C4×C13⋊C41044(C4xC13:C4):4C2416,204

Non-split extensions G=N.Q with N=C4×C13⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C4×C13⋊C4).1C2 = Q8×C13⋊C4φ: C2/C1C2 ⊆ Out C4×C13⋊C41048-(C4xC13:C4).1C2416,208
(C4×C13⋊C4).2C2 = C104⋊C4φ: C2/C1C2 ⊆ Out C4×C13⋊C41044(C4xC13:C4).2C2416,67
(C4×C13⋊C4).3C2 = C8×C13⋊C4φ: trivial image1044(C4xC13:C4).3C2416,66

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