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Extensions 1→N→G→Q→1 with N=Q16 and Q=C2×C4

Direct product G=N×Q with N=Q16 and Q=C2×C4
dρLabelID
C2×C4×Q16128C2xC4xQ16128,1670

Semidirect products G=N:Q with N=Q16 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
Q16⋊(C2×C4) = D16⋊C4φ: C2×C4/C2 → C22 ⊆ Out Q16168+Q16:(C2xC4)128,913
Q16⋊2(C2×C4) = C4×SD32φ: C2×C4/C4 → C2 ⊆ Out Q1664Q16:2(C2xC4)128,905
Q16⋊3(C2×C4) = SD32⋊3C4φ: C2×C4/C4 → C2 ⊆ Out Q1664Q16:3(C2xC4)128,907
Q16⋊4(C2×C4) = C4×C8.C22φ: C2×C4/C4 → C2 ⊆ Out Q1664Q16:4(C2xC4)128,1677
Q16⋊5(C2×C4) = C42.276C23φ: C2×C4/C4 → C2 ⊆ Out Q1664Q16:5(C2xC4)128,1679
Q16⋊6(C2×C4) = M4(2).51D4φ: C2×C4/C4 → C2 ⊆ Out Q16164Q16:6(C2xC4)128,1688
Q16⋊7(C2×C4) = C2×C2.Q32φ: C2×C4/C22 → C2 ⊆ Out Q16128Q16:7(C2xC4)128,869
Q16⋊8(C2×C4) = C23.39D8φ: C2×C4/C22 → C2 ⊆ Out Q1664Q16:8(C2xC4)128,871
Q16⋊9(C2×C4) = C2×D8⋊2C4φ: C2×C4/C22 → C2 ⊆ Out Q1632Q16:9(C2xC4)128,876
Q16⋊10(C2×C4) = C2×Q16⋊C4φ: C2×C4/C22 → C2 ⊆ Out Q16128Q16:10(C2xC4)128,1673
Q16⋊11(C2×C4) = C42.383D4φ: C2×C4/C22 → C2 ⊆ Out Q1664Q16:11(C2xC4)128,1675
Q16⋊12(C2×C4) = C42.281C23φ: C2×C4/C22 → C2 ⊆ Out Q1664Q16:12(C2xC4)128,1684
Q16⋊13(C2×C4) = C2×C8.26D4φ: C2×C4/C22 → C2 ⊆ Out Q1632Q16:13(C2xC4)128,1686
Q16⋊14(C2×C4) = C4×C4○D8φ: trivial image64Q16:14(C2xC4)128,1671
Q16⋊15(C2×C4) = C42.280C23φ: trivial image64Q16:15(C2xC4)128,1683
Q16⋊16(C2×C4) = C2×C8○D8φ: trivial image32Q16:16(C2xC4)128,1685

Non-split extensions G=N.Q with N=Q16 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
Q16.(C2×C4) = Q32⋊C4φ: C2×C4/C2 → C22 ⊆ Out Q16328-Q16.(C2xC4)128,912
Q16.2(C2×C4) = C4×Q32φ: C2×C4/C4 → C2 ⊆ Out Q16128Q16.2(C2xC4)128,906
Q16.3(C2×C4) = Q32⋊4C4φ: C2×C4/C4 → C2 ⊆ Out Q16128Q16.3(C2xC4)128,908
Q16.4(C2×C4) = C8○D16φ: C2×C4/C4 → C2 ⊆ Out Q16322Q16.4(C2xC4)128,910
Q16.5(C2×C4) = D16⋊5C4φ: C2×C4/C4 → C2 ⊆ Out Q16324Q16.5(C2xC4)128,911
Q16.6(C2×C4) = C42.283C23φ: C2×C4/C4 → C2 ⊆ Out Q16324Q16.6(C2xC4)128,1687
Q16.7(C2×C4) = C23.24D8φ: C2×C4/C22 → C2 ⊆ Out Q1664Q16.7(C2xC4)128,870
Q16.8(C2×C4) = C23.41D8φ: C2×C4/C22 → C2 ⊆ Out Q1664Q16.8(C2xC4)128,873
Q16.9(C2×C4) = C2×D8.C4φ: C2×C4/C22 → C2 ⊆ Out Q1664Q16.9(C2xC4)128,874
Q16.10(C2×C4) = C23.20SD16φ: C2×C4/C22 → C2 ⊆ Out Q16324Q16.10(C2xC4)128,875
Q16.11(C2×C4) = C23.13D8φ: C2×C4/C22 → C2 ⊆ Out Q16324Q16.11(C2xC4)128,877
Q16.12(C2×C4) = C2×C8.17D4φ: C2×C4/C22 → C2 ⊆ Out Q1664Q16.12(C2xC4)128,879
Q16.13(C2×C4) = C23.21SD16φ: C2×C4/C22 → C2 ⊆ Out Q16324Q16.13(C2xC4)128,880
Q16.14(C2×C4) = C42.279C23φ: trivial image64Q16.14(C2xC4)128,1682
Q16.15(C2×C4) = M4(2)○D8φ: trivial image324Q16.15(C2xC4)128,1689

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