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

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

Semidirect products G=N:Q with N=C2×C13⋊C4 and Q=C4
extensionφ:Q→Out NdρLabelID
(C2×C13⋊C4)⋊C4 = D26.Q8φ: C4/C2C2 ⊆ Out C2×C13⋊C4104(C2xC13:C4):C4416,81

Non-split extensions G=N.Q with N=C2×C13⋊C4 and Q=C4
extensionφ:Q→Out NdρLabelID
(C2×C13⋊C4).C4 = C104⋊C4φ: C4/C2C2 ⊆ Out C2×C13⋊C41044(C2xC13:C4).C4416,67
(C2×C13⋊C4).2C4 = C8×C13⋊C4φ: trivial image1044(C2xC13:C4).2C4416,66

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