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Extensions 1→N→G→Q→1 with N=Q8 and Q=C2×C28

Direct product G=N×Q with N=Q8 and Q=C2×C28
dρLabelID
Q8×C2×C28448Q8xC2xC28448,1299

Semidirect products G=N:Q with N=Q8 and Q=C2×C28
extensionφ:Q→Out NdρLabelID
Q8⋊1(C2×C28) = SD16×C28φ: C2×C28/C28 → C2 ⊆ Out Q8224Q8:1(C2xC28)448,846
Q8⋊2(C2×C28) = C7×SD16⋊C4φ: C2×C28/C28 → C2 ⊆ Out Q8224Q8:2(C2xC28)448,848
Q8⋊3(C2×C28) = C14×Q8⋊C4φ: C2×C28/C2×C14 → C2 ⊆ Out Q8448Q8:3(C2xC28)448,823
Q8⋊4(C2×C28) = C7×C23.36D4φ: C2×C28/C2×C14 → C2 ⊆ Out Q8224Q8:4(C2xC28)448,825
Q8⋊5(C2×C28) = C14×C4≀C2φ: C2×C28/C2×C14 → C2 ⊆ Out Q8112Q8:5(C2xC28)448,828
Q8⋊6(C2×C28) = C4○D4×C28φ: trivial image224Q8:6(C2xC28)448,1300
Q8⋊7(C2×C28) = C7×C23.33C23φ: trivial image224Q8:7(C2xC28)448,1303

Non-split extensions G=N.Q with N=Q8 and Q=C2×C28
extensionφ:Q→Out NdρLabelID
Q8.1(C2×C28) = Q16×C28φ: C2×C28/C28 → C2 ⊆ Out Q8448Q8.1(C2xC28)448,847
Q8.2(C2×C28) = C7×Q16⋊C4φ: C2×C28/C28 → C2 ⊆ Out Q8448Q8.2(C2xC28)448,849
Q8.3(C2×C28) = C7×C8○D8φ: C2×C28/C28 → C2 ⊆ Out Q81122Q8.3(C2xC28)448,851
Q8.4(C2×C28) = C7×C8.26D4φ: C2×C28/C28 → C2 ⊆ Out Q81124Q8.4(C2xC28)448,852
Q8.5(C2×C28) = C7×C23.24D4φ: C2×C28/C2×C14 → C2 ⊆ Out Q8224Q8.5(C2xC28)448,824
Q8.6(C2×C28) = C7×C23.38D4φ: C2×C28/C2×C14 → C2 ⊆ Out Q8224Q8.6(C2xC28)448,827
Q8.7(C2×C28) = C7×C42⋊C22φ: C2×C28/C2×C14 → C2 ⊆ Out Q81124Q8.7(C2xC28)448,829
Q8.8(C2×C28) = C7×C23.32C23φ: trivial image224Q8.8(C2xC28)448,1302
Q8.9(C2×C28) = C14×C8○D4φ: trivial image224Q8.9(C2xC28)448,1350
Q8.10(C2×C28) = C7×Q8○M4(2)φ: trivial image1124Q8.10(C2xC28)448,1351

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