Extensions 1→N→G→Q→1 with N=C2×3- 1+2 and Q=Q8

Direct product G=N×Q with N=C2×3- 1+2 and Q=Q8
dρLabelID
C2×Q8×3- 1+2144C2xQ8xES-(3,1)432,408

Semidirect products G=N:Q with N=C2×3- 1+2 and Q=Q8
extensionφ:Q→Out NdρLabelID
(C2×3- 1+2)⋊Q8 = C2×C36.C6φ: Q8/C4C2 ⊆ Out C2×3- 1+2144(C2xES-(3,1)):Q8432,352

Non-split extensions G=N.Q with N=C2×3- 1+2 and Q=Q8
extensionφ:Q→Out NdρLabelID
(C2×3- 1+2).1Q8 = Dic9⋊C12φ: Q8/C4C2 ⊆ Out C2×3- 1+2144(C2xES-(3,1)).1Q8432,145
(C2×3- 1+2).2Q8 = C36⋊C12φ: Q8/C4C2 ⊆ Out C2×3- 1+2144(C2xES-(3,1)).2Q8432,146
(C2×3- 1+2).3Q8 = C4⋊C4×3- 1+2φ: trivial image144(C2xES-(3,1)).3Q8432,208

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