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

Direct product G=N×Q with N=C2×C13⋊C4 and Q=C2
dρLabelID
C22×C13⋊C452C2^2xC13:C4208,49

Semidirect products G=N:Q with N=C2×C13⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C13⋊C4)⋊C2 = D13.D4φ: C2/C1C2 ⊆ Out C2×C13⋊C4524+(C2xC13:C4):C2208,34

Non-split extensions G=N.Q with N=C2×C13⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C13⋊C4).C2 = C52⋊C4φ: C2/C1C2 ⊆ Out C2×C13⋊C4524(C2xC13:C4).C2208,31
(C2×C13⋊C4).2C2 = C4×C13⋊C4φ: trivial image524(C2xC13:C4).2C2208,30

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