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Extensions 1→N→G→Q→1 with N=C6×Q8 and Q=C2

Direct product G=N×Q with N=C6×Q8 and Q=C2
dρLabelID
Q8×C2×C696Q8xC2xC696,222

Semidirect products G=N:Q with N=C6×Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C6×Q8)⋊1C2 = C2×Q8⋊2S3φ: C2/C1 → C2 ⊆ Out C6×Q848(C6xQ8):1C296,148
(C6×Q8)⋊2C2 = Q8.11D6φ: C2/C1 → C2 ⊆ Out C6×Q8484(C6xQ8):2C296,149
(C6×Q8)⋊3C2 = D6⋊3Q8φ: C2/C1 → C2 ⊆ Out C6×Q848(C6xQ8):3C296,153
(C6×Q8)⋊4C2 = C12.23D4φ: C2/C1 → C2 ⊆ Out C6×Q848(C6xQ8):4C296,154
(C6×Q8)⋊5C2 = C2×S3×Q8φ: C2/C1 → C2 ⊆ Out C6×Q848(C6xQ8):5C296,212
(C6×Q8)⋊6C2 = C2×Q8⋊3S3φ: C2/C1 → C2 ⊆ Out C6×Q848(C6xQ8):6C296,213
(C6×Q8)⋊7C2 = Q8.15D6φ: C2/C1 → C2 ⊆ Out C6×Q8484(C6xQ8):7C296,214
(C6×Q8)⋊8C2 = C3×C22⋊Q8φ: C2/C1 → C2 ⊆ Out C6×Q848(C6xQ8):8C296,169
(C6×Q8)⋊9C2 = C3×C4.4D4φ: C2/C1 → C2 ⊆ Out C6×Q848(C6xQ8):9C296,171
(C6×Q8)⋊10C2 = C6×SD16φ: C2/C1 → C2 ⊆ Out C6×Q848(C6xQ8):10C296,180
(C6×Q8)⋊11C2 = C3×C8.C22φ: C2/C1 → C2 ⊆ Out C6×Q8484(C6xQ8):11C296,184
(C6×Q8)⋊12C2 = C3×2- 1+4φ: C2/C1 → C2 ⊆ Out C6×Q8484(C6xQ8):12C296,225
(C6×Q8)⋊13C2 = C6×C4○D4φ: trivial image48(C6xQ8):13C296,223

Non-split extensions G=N.Q with N=C6×Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C6×Q8).1C2 = Q8⋊2Dic3φ: C2/C1 → C2 ⊆ Out C6×Q896(C6xQ8).1C296,42
(C6×Q8).2C2 = C12.10D4φ: C2/C1 → C2 ⊆ Out C6×Q8484(C6xQ8).2C296,43
(C6×Q8).3C2 = C2×C3⋊Q16φ: C2/C1 → C2 ⊆ Out C6×Q896(C6xQ8).3C296,150
(C6×Q8).4C2 = Dic3⋊Q8φ: C2/C1 → C2 ⊆ Out C6×Q896(C6xQ8).4C296,151
(C6×Q8).5C2 = Q8×Dic3φ: C2/C1 → C2 ⊆ Out C6×Q896(C6xQ8).5C296,152
(C6×Q8).6C2 = C3×C4.10D4φ: C2/C1 → C2 ⊆ Out C6×Q8484(C6xQ8).6C296,51
(C6×Q8).7C2 = C3×Q8⋊C4φ: C2/C1 → C2 ⊆ Out C6×Q896(C6xQ8).7C296,53
(C6×Q8).8C2 = C3×C4⋊Q8φ: C2/C1 → C2 ⊆ Out C6×Q896(C6xQ8).8C296,175
(C6×Q8).9C2 = C6×Q16φ: C2/C1 → C2 ⊆ Out C6×Q896(C6xQ8).9C296,181
(C6×Q8).10C2 = Q8×C12φ: trivial image96(C6xQ8).10C296,166

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