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

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

Semidirect products G=N:Q with N=Q8 and Q=C2×C6
extensionφ:Q→Out NdρLabelID
Q8⋊(C2×C6) = C22×SL2(𝔽3)φ: C2×C6/C22 → C3 ⊆ Out Q832Q8:(C2xC6)96,198
Q8⋊2(C2×C6) = C6×SD16φ: C2×C6/C6 → C2 ⊆ Out Q848Q8:2(C2xC6)96,180
Q8⋊3(C2×C6) = C3×C8⋊C22φ: C2×C6/C6 → C2 ⊆ Out Q8244Q8:3(C2xC6)96,183
Q8⋊4(C2×C6) = C6×C4○D4φ: trivial image48Q8:4(C2xC6)96,223
Q8⋊5(C2×C6) = C3×2+ 1+4φ: trivial image244Q8:5(C2xC6)96,224

Non-split extensions G=N.Q with N=Q8 and Q=C2×C6
extensionφ:Q→Out NdρLabelID
Q8.1(C2×C6) = C2×C4.A4φ: C2×C6/C22 → C3 ⊆ Out Q832Q8.1(C2xC6)96,200
Q8.2(C2×C6) = Q8.A4φ: C2×C6/C22 → C3 ⊆ Out Q8244+Q8.2(C2xC6)96,201
Q8.3(C2×C6) = D4.A4φ: C2×C6/C22 → C3 ⊆ Out Q8164-Q8.3(C2xC6)96,202
Q8.4(C2×C6) = C6×Q16φ: C2×C6/C6 → C2 ⊆ Out Q896Q8.4(C2xC6)96,181
Q8.5(C2×C6) = C3×C4○D8φ: C2×C6/C6 → C2 ⊆ Out Q8482Q8.5(C2xC6)96,182
Q8.6(C2×C6) = C3×C8.C22φ: C2×C6/C6 → C2 ⊆ Out Q8484Q8.6(C2xC6)96,184
Q8.7(C2×C6) = C3×2- 1+4φ: trivial image484Q8.7(C2xC6)96,225

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