# Extensions 1→N→G→Q→1 with N=C8×3- 1+2 and Q=C2

Direct product G=N×Q with N=C8×3- 1+2 and Q=C2
dρLabelID
C2×C8×3- 1+2144C2xC8xES-(3,1)432,211

Semidirect products G=N:Q with N=C8×3- 1+2 and Q=C2
extensionφ:Q→Out NdρLabelID
(C8×3- 1+2)⋊1C2 = D72⋊C3φ: C2/C1C2 ⊆ Out C8×3- 1+2726+(C8xES-(3,1)):1C2432,123
(C8×3- 1+2)⋊2C2 = C722C6φ: C2/C1C2 ⊆ Out C8×3- 1+2726(C8xES-(3,1)):2C2432,122
(C8×3- 1+2)⋊3C2 = C8×C9⋊C6φ: C2/C1C2 ⊆ Out C8×3- 1+2726(C8xES-(3,1)):3C2432,120
(C8×3- 1+2)⋊4C2 = C72⋊C6φ: C2/C1C2 ⊆ Out C8×3- 1+2726(C8xES-(3,1)):4C2432,121
(C8×3- 1+2)⋊5C2 = D8×3- 1+2φ: C2/C1C2 ⊆ Out C8×3- 1+2726(C8xES-(3,1)):5C2432,217
(C8×3- 1+2)⋊6C2 = SD16×3- 1+2φ: C2/C1C2 ⊆ Out C8×3- 1+2726(C8xES-(3,1)):6C2432,220
(C8×3- 1+2)⋊7C2 = M4(2)×3- 1+2φ: C2/C1C2 ⊆ Out C8×3- 1+2726(C8xES-(3,1)):7C2432,214

Non-split extensions G=N.Q with N=C8×3- 1+2 and Q=C2
extensionφ:Q→Out NdρLabelID
(C8×3- 1+2).1C2 = C72.C6φ: C2/C1C2 ⊆ Out C8×3- 1+21446-(C8xES-(3,1)).1C2432,119
(C8×3- 1+2).2C2 = C9⋊C48φ: C2/C1C2 ⊆ Out C8×3- 1+21446(C8xES-(3,1)).2C2432,31
(C8×3- 1+2).3C2 = Q16×3- 1+2φ: C2/C1C2 ⊆ Out C8×3- 1+21446(C8xES-(3,1)).3C2432,223
(C8×3- 1+2).4C2 = C16×3- 1+2φ: trivial image1443(C8xES-(3,1)).4C2432,36

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