# Extensions 1→N→G→Q→1 with N=C6×3- 1+2 and Q=C3

Direct product G=N×Q with N=C6×3- 1+2 and Q=C3
dρLabelID
C3×C6×3- 1+2162C3xC6xES-(3,1)486,252

Semidirect products G=N:Q with N=C6×3- 1+2 and Q=C3
extensionφ:Q→Out NdρLabelID
(C6×3- 1+2)⋊1C3 = C2×C33.C32φ: C3/C1C3 ⊆ Out C6×3- 1+2162(C6xES-(3,1)):1C3486,64
(C6×3- 1+2)⋊2C3 = C2×C34.C3φ: C3/C1C3 ⊆ Out C6×3- 1+254(C6xES-(3,1)):2C3486,197
(C6×3- 1+2)⋊3C3 = C2×C9⋊He3φ: C3/C1C3 ⊆ Out C6×3- 1+2162(C6xES-(3,1)):3C3486,198
(C6×3- 1+2)⋊4C3 = C2×C32.23C33φ: C3/C1C3 ⊆ Out C6×3- 1+2162(C6xES-(3,1)):4C3486,199
(C6×3- 1+2)⋊5C3 = C6×C3≀C3φ: C3/C1C3 ⊆ Out C6×3- 1+254(C6xES-(3,1)):5C3486,210
(C6×3- 1+2)⋊6C3 = C6×He3.C3φ: C3/C1C3 ⊆ Out C6×3- 1+2162(C6xES-(3,1)):6C3486,211
(C6×3- 1+2)⋊7C3 = C2×C33⋊C32φ: C3/C1C3 ⊆ Out C6×3- 1+2549(C6xES-(3,1)):7C3486,215
(C6×3- 1+2)⋊8C3 = C2×He3.C32φ: C3/C1C3 ⊆ Out C6×3- 1+2549(C6xES-(3,1)):8C3486,216
(C6×3- 1+2)⋊9C3 = C2×He3⋊C32φ: C3/C1C3 ⊆ Out C6×3- 1+2549(C6xES-(3,1)):9C3486,217
(C6×3- 1+2)⋊10C3 = C2×C9.2He3φ: C3/C1C3 ⊆ Out C6×3- 1+2549(C6xES-(3,1)):10C3486,219
(C6×3- 1+2)⋊11C3 = C2×3- 1+4φ: C3/C1C3 ⊆ Out C6×3- 1+2549(C6xES-(3,1)):11C3486,255
(C6×3- 1+2)⋊12C3 = C6×C9○He3φ: trivial image162(C6xES-(3,1)):12C3486,253

Non-split extensions G=N.Q with N=C6×3- 1+2 and Q=C3
extensionφ:Q→Out NdρLabelID
(C6×3- 1+2).1C3 = C2×C33.3C32φ: C3/C1C3 ⊆ Out C6×3- 1+2162(C6xES-(3,1)).1C3486,65
(C6×3- 1+2).2C3 = C2×C32.28He3φ: C3/C1C3 ⊆ Out C6×3- 1+2162(C6xES-(3,1)).2C3486,67
(C6×3- 1+2).3C3 = C2×3- 1+2⋊C9φ: C3/C1C3 ⊆ Out C6×3- 1+2162(C6xES-(3,1)).3C3486,78
(C6×3- 1+2).4C3 = C2×C9⋊3- 1+2φ: C3/C1C3 ⊆ Out C6×3- 1+2162(C6xES-(3,1)).4C3486,200
(C6×3- 1+2).5C3 = C2×C927C3φ: C3/C1C3 ⊆ Out C6×3- 1+2162(C6xES-(3,1)).5C3486,202
(C6×3- 1+2).6C3 = C2×C928C3φ: C3/C1C3 ⊆ Out C6×3- 1+2162(C6xES-(3,1)).6C3486,205
(C6×3- 1+2).7C3 = C2×C929C3φ: C3/C1C3 ⊆ Out C6×3- 1+2162(C6xES-(3,1)).7C3486,206
(C6×3- 1+2).8C3 = C6×C3.He3φ: C3/C1C3 ⊆ Out C6×3- 1+2162(C6xES-(3,1)).8C3486,213
(C6×3- 1+2).9C3 = C2×C32.C33φ: C3/C1C3 ⊆ Out C6×3- 1+2549(C6xES-(3,1)).9C3486,218
(C6×3- 1+2).10C3 = C18×3- 1+2φ: trivial image162(C6xES-(3,1)).10C3486,195

׿
×
𝔽