# Extensions 1→N→G→Q→1 with N=C3×Q8 and Q=C22

Direct product G=N×Q with N=C3×Q8 and Q=C22
dρLabelID
Q8×C2×C696Q8xC2xC696,222

Semidirect products G=N:Q with N=C3×Q8 and Q=C22
extensionφ:Q→Out NdρLabelID
(C3×Q8)⋊1C22 = S3×SD16φ: C22/C1C22 ⊆ Out C3×Q8244(C3xQ8):1C2^296,120
(C3×Q8)⋊2C22 = Q83D6φ: C22/C1C22 ⊆ Out C3×Q8244+(C3xQ8):2C2^296,121
(C3×Q8)⋊3C22 = C2×Q82S3φ: C22/C2C2 ⊆ Out C3×Q848(C3xQ8):3C2^296,148
(C3×Q8)⋊4C22 = D4⋊D6φ: C22/C2C2 ⊆ Out C3×Q8244+(C3xQ8):4C2^296,156
(C3×Q8)⋊5C22 = C2×S3×Q8φ: C22/C2C2 ⊆ Out C3×Q848(C3xQ8):5C2^296,212
(C3×Q8)⋊6C22 = C2×Q83S3φ: C22/C2C2 ⊆ Out C3×Q848(C3xQ8):6C2^296,213
(C3×Q8)⋊7C22 = S3×C4○D4φ: C22/C2C2 ⊆ Out C3×Q8244(C3xQ8):7C2^296,215
(C3×Q8)⋊8C22 = D4○D12φ: C22/C2C2 ⊆ Out C3×Q8244+(C3xQ8):8C2^296,216
(C3×Q8)⋊9C22 = C6×SD16φ: C22/C2C2 ⊆ Out C3×Q848(C3xQ8):9C2^296,180
(C3×Q8)⋊10C22 = C3×C8⋊C22φ: C22/C2C2 ⊆ Out C3×Q8244(C3xQ8):10C2^296,183
(C3×Q8)⋊11C22 = C6×C4○D4φ: trivial image48(C3xQ8):11C2^296,223
(C3×Q8)⋊12C22 = C3×2+ 1+4φ: trivial image244(C3xQ8):12C2^296,224

Non-split extensions G=N.Q with N=C3×Q8 and Q=C22
extensionφ:Q→Out NdρLabelID
(C3×Q8).1C22 = D4.D6φ: C22/C1C22 ⊆ Out C3×Q8484-(C3xQ8).1C2^296,122
(C3×Q8).2C22 = Q8.7D6φ: C22/C1C22 ⊆ Out C3×Q8484(C3xQ8).2C2^296,123
(C3×Q8).3C22 = S3×Q16φ: C22/C1C22 ⊆ Out C3×Q8484-(C3xQ8).3C2^296,124
(C3×Q8).4C22 = Q16⋊S3φ: C22/C1C22 ⊆ Out C3×Q8484(C3xQ8).4C2^296,125
(C3×Q8).5C22 = D24⋊C2φ: C22/C1C22 ⊆ Out C3×Q8484+(C3xQ8).5C2^296,126
(C3×Q8).6C22 = Q8.11D6φ: C22/C2C2 ⊆ Out C3×Q8484(C3xQ8).6C2^296,149
(C3×Q8).7C22 = C2×C3⋊Q16φ: C22/C2C2 ⊆ Out C3×Q896(C3xQ8).7C2^296,150
(C3×Q8).8C22 = Q8.13D6φ: C22/C2C2 ⊆ Out C3×Q8484(C3xQ8).8C2^296,157
(C3×Q8).9C22 = Q8.14D6φ: C22/C2C2 ⊆ Out C3×Q8484-(C3xQ8).9C2^296,158
(C3×Q8).10C22 = Q8.15D6φ: C22/C2C2 ⊆ Out C3×Q8484(C3xQ8).10C2^296,214
(C3×Q8).11C22 = Q8○D12φ: C22/C2C2 ⊆ Out C3×Q8484-(C3xQ8).11C2^296,217
(C3×Q8).12C22 = C6×Q16φ: C22/C2C2 ⊆ Out C3×Q896(C3xQ8).12C2^296,181
(C3×Q8).13C22 = C3×C4○D8φ: C22/C2C2 ⊆ Out C3×Q8482(C3xQ8).13C2^296,182
(C3×Q8).14C22 = C3×C8.C22φ: C22/C2C2 ⊆ Out C3×Q8484(C3xQ8).14C2^296,184
(C3×Q8).15C22 = C3×2- 1+4φ: trivial image484(C3xQ8).15C2^296,225

׿
×
𝔽