Extensions 1→N→G→Q→1 with N=Q8 and Q=C2×C12

Direct product G=N×Q with N=Q8 and Q=C2×C12
dρLabelID
Q8×C2×C12192Q8xC2xC12192,1405

Semidirect products G=N:Q with N=Q8 and Q=C2×C12
extensionφ:Q→Out NdρLabelID
Q8⋊(C2×C12) = C2×C4×SL2(𝔽3)φ: C2×C12/C2×C4C3 ⊆ Out Q864Q8:(C2xC12)192,996
Q82(C2×C12) = C12×SD16φ: C2×C12/C12C2 ⊆ Out Q896Q8:2(C2xC12)192,871
Q83(C2×C12) = C3×SD16⋊C4φ: C2×C12/C12C2 ⊆ Out Q896Q8:3(C2xC12)192,873
Q84(C2×C12) = C6×Q8⋊C4φ: C2×C12/C2×C6C2 ⊆ Out Q8192Q8:4(C2xC12)192,848
Q85(C2×C12) = C3×C23.36D4φ: C2×C12/C2×C6C2 ⊆ Out Q896Q8:5(C2xC12)192,850
Q86(C2×C12) = C6×C4≀C2φ: C2×C12/C2×C6C2 ⊆ Out Q848Q8:6(C2xC12)192,853
Q87(C2×C12) = C12×C4○D4φ: trivial image96Q8:7(C2xC12)192,1406
Q88(C2×C12) = C3×C23.33C23φ: trivial image96Q8:8(C2xC12)192,1409

Non-split extensions G=N.Q with N=Q8 and Q=C2×C12
extensionφ:Q→Out NdρLabelID
Q8.1(C2×C12) = C4×C4.A4φ: C2×C12/C2×C4C3 ⊆ Out Q864Q8.1(C2xC12)192,997
Q8.2(C2×C12) = (C2×Q8)⋊C12φ: C2×C12/C2×C4C3 ⊆ Out Q832Q8.2(C2xC12)192,998
Q8.3(C2×C12) = C4○D4⋊C12φ: C2×C12/C2×C4C3 ⊆ Out Q864Q8.3(C2xC12)192,999
Q8.4(C2×C12) = C2×C8.A4φ: C2×C12/C2×C4C3 ⊆ Out Q864Q8.4(C2xC12)192,1012
Q8.5(C2×C12) = M4(2).A4φ: C2×C12/C2×C4C3 ⊆ Out Q8324Q8.5(C2xC12)192,1013
Q8.6(C2×C12) = C12×Q16φ: C2×C12/C12C2 ⊆ Out Q8192Q8.6(C2xC12)192,872
Q8.7(C2×C12) = C3×Q16⋊C4φ: C2×C12/C12C2 ⊆ Out Q8192Q8.7(C2xC12)192,874
Q8.8(C2×C12) = C3×C8○D8φ: C2×C12/C12C2 ⊆ Out Q8482Q8.8(C2xC12)192,876
Q8.9(C2×C12) = C3×C8.26D4φ: C2×C12/C12C2 ⊆ Out Q8484Q8.9(C2xC12)192,877
Q8.10(C2×C12) = C3×C23.24D4φ: C2×C12/C2×C6C2 ⊆ Out Q896Q8.10(C2xC12)192,849
Q8.11(C2×C12) = C3×C23.38D4φ: C2×C12/C2×C6C2 ⊆ Out Q896Q8.11(C2xC12)192,852
Q8.12(C2×C12) = C3×C42⋊C22φ: C2×C12/C2×C6C2 ⊆ Out Q8484Q8.12(C2xC12)192,854
Q8.13(C2×C12) = C3×C23.32C23φ: trivial image96Q8.13(C2xC12)192,1408
Q8.14(C2×C12) = C6×C8○D4φ: trivial image96Q8.14(C2xC12)192,1456
Q8.15(C2×C12) = C3×Q8○M4(2)φ: trivial image484Q8.15(C2xC12)192,1457

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