Extensions 1→N→G→Q→1 with N=C2×3- 1+2 and Q=C3

Direct product G=N×Q with N=C2×3- 1+2 and Q=C3
dρLabelID
C6×3- 1+254C6xES-(3,1)162,49

Semidirect products G=N:Q with N=C2×3- 1+2 and Q=C3
extensionφ:Q→Out NdρLabelID
(C2×3- 1+2)⋊1C3 = C2×C3≀C3φ: C3/C1C3 ⊆ Out C2×3- 1+2183(C2xES-(3,1)):1C3162,28
(C2×3- 1+2)⋊2C3 = C2×He3.C3φ: C3/C1C3 ⊆ Out C2×3- 1+2543(C2xES-(3,1)):2C3162,29
(C2×3- 1+2)⋊3C3 = C2×C9○He3φ: trivial image543(C2xES-(3,1)):3C3162,50

Non-split extensions G=N.Q with N=C2×3- 1+2 and Q=C3
extensionφ:Q→Out NdρLabelID
(C2×3- 1+2).C3 = C2×C3.He3φ: C3/C1C3 ⊆ Out C2×3- 1+2543(C2xES-(3,1)).C3162,31

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