Extensions 1→N→G→Q→1 with N=Q8 and Q=C4×D7

Direct product G=N×Q with N=Q8 and Q=C4×D7
dρLabelID
C4×Q8×D7224C4xQ8xD7448,1024

Semidirect products G=N:Q with N=Q8 and Q=C4×D7
extensionφ:Q→Out NdρLabelID
Q81(C4×D7) = Dic77SD16φ: C4×D7/Dic7C2 ⊆ Out Q8224Q8:1(C4xD7)448,322
Q82(C4×D7) = Q8⋊D7⋊C4φ: C4×D7/Dic7C2 ⊆ Out Q8224Q8:2(C4xD7)448,351
Q83(C4×D7) = C4×Q8⋊D7φ: C4×D7/C28C2 ⊆ Out Q8224Q8:3(C4xD7)448,559
Q84(C4×D7) = C42.56D14φ: C4×D7/C28C2 ⊆ Out Q8224Q8:4(C4xD7)448,560
Q85(C4×D7) = D7×Q8⋊C4φ: C4×D7/D14C2 ⊆ Out Q8224Q8:5(C4xD7)448,335
Q86(C4×D7) = Q8⋊(C4×D7)φ: C4×D7/D14C2 ⊆ Out Q8224Q8:6(C4xD7)448,337
Q87(C4×D7) = D7×C4≀C2φ: C4×D7/D14C2 ⊆ Out Q8564Q8:7(C4xD7)448,354
Q88(C4×D7) = C4×Q82D7φ: trivial image224Q8:8(C4xD7)448,1026
Q89(C4×D7) = C42.126D14φ: trivial image224Q8:9(C4xD7)448,1027

Non-split extensions G=N.Q with N=Q8 and Q=C4×D7
extensionφ:Q→Out NdρLabelID
Q8.1(C4×D7) = C7⋊Q16⋊C4φ: C4×D7/Dic7C2 ⊆ Out Q8448Q8.1(C4xD7)448,323
Q8.2(C4×D7) = Dic74Q16φ: C4×D7/Dic7C2 ⊆ Out Q8448Q8.2(C4xD7)448,324
Q8.3(C4×D7) = M4(2).22D14φ: C4×D7/Dic7C2 ⊆ Out Q81124Q8.3(C4xD7)448,357
Q8.4(C4×D7) = C42.196D14φ: C4×D7/Dic7C2 ⊆ Out Q81124Q8.4(C4xD7)448,358
Q8.5(C4×D7) = C4×C7⋊Q16φ: C4×D7/C28C2 ⊆ Out Q8448Q8.5(C4xD7)448,563
Q8.6(C4×D7) = C42.59D14φ: C4×D7/C28C2 ⊆ Out Q8448Q8.6(C4xD7)448,564
Q8.7(C4×D7) = C56.93D4φ: C4×D7/C28C2 ⊆ Out Q81124Q8.7(C4xD7)448,678
Q8.8(C4×D7) = C56.50D4φ: C4×D7/C28C2 ⊆ Out Q81124Q8.8(C4xD7)448,679
Q8.9(C4×D7) = (Q8×D7)⋊C4φ: C4×D7/D14C2 ⊆ Out Q8224Q8.9(C4xD7)448,336
Q8.10(C4×D7) = Q82D7⋊C4φ: C4×D7/D14C2 ⊆ Out Q8224Q8.10(C4xD7)448,338
Q8.11(C4×D7) = C42⋊D14φ: C4×D7/D14C2 ⊆ Out Q81124Q8.11(C4xD7)448,355
Q8.12(C4×D7) = C42.125D14φ: trivial image224Q8.12(C4xD7)448,1025
Q8.13(C4×D7) = D7×C8○D4φ: trivial image1124Q8.13(C4xD7)448,1202
Q8.14(C4×D7) = C56.49C23φ: trivial image1124Q8.14(C4xD7)448,1203

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