Extensions 1→N→G→Q→1 with N=C8 and Q=C22×C14

Direct product G=N×Q with N=C8 and Q=C22×C14
dρLabelID
C23×C56448C2^3xC56448,1348

Semidirect products G=N:Q with N=C8 and Q=C22×C14
extensionφ:Q→Aut NdρLabelID
C8⋊(C22×C14) = C14×C8⋊C22φ: C22×C14/C14C22 ⊆ Aut C8112C8:(C2^2xC14)448,1356
C82(C22×C14) = D8×C2×C14φ: C22×C14/C2×C14C2 ⊆ Aut C8224C8:2(C2^2xC14)448,1352
C83(C22×C14) = SD16×C2×C14φ: C22×C14/C2×C14C2 ⊆ Aut C8224C8:3(C2^2xC14)448,1353
C84(C22×C14) = M4(2)×C2×C14φ: C22×C14/C2×C14C2 ⊆ Aut C8224C8:4(C2^2xC14)448,1349

Non-split extensions G=N.Q with N=C8 and Q=C22×C14
extensionφ:Q→Aut NdρLabelID
C8.1(C22×C14) = C14×C8.C22φ: C22×C14/C14C22 ⊆ Aut C8224C8.1(C2^2xC14)448,1357
C8.2(C22×C14) = C7×D8⋊C22φ: C22×C14/C14C22 ⊆ Aut C81124C8.2(C2^2xC14)448,1358
C8.3(C22×C14) = C14×D16φ: C22×C14/C2×C14C2 ⊆ Aut C8224C8.3(C2^2xC14)448,913
C8.4(C22×C14) = C14×SD32φ: C22×C14/C2×C14C2 ⊆ Aut C8224C8.4(C2^2xC14)448,914
C8.5(C22×C14) = C14×Q32φ: C22×C14/C2×C14C2 ⊆ Aut C8448C8.5(C2^2xC14)448,915
C8.6(C22×C14) = C7×C4○D16φ: C22×C14/C2×C14C2 ⊆ Aut C82242C8.6(C2^2xC14)448,916
C8.7(C22×C14) = C7×C16⋊C22φ: C22×C14/C2×C14C2 ⊆ Aut C81124C8.7(C2^2xC14)448,917
C8.8(C22×C14) = C7×Q32⋊C2φ: C22×C14/C2×C14C2 ⊆ Aut C82244C8.8(C2^2xC14)448,918
C8.9(C22×C14) = Q16×C2×C14φ: C22×C14/C2×C14C2 ⊆ Aut C8448C8.9(C2^2xC14)448,1354
C8.10(C22×C14) = C7×D4○D8φ: C22×C14/C2×C14C2 ⊆ Aut C81124C8.10(C2^2xC14)448,1359
C8.11(C22×C14) = C7×Q8○D8φ: C22×C14/C2×C14C2 ⊆ Aut C82244C8.11(C2^2xC14)448,1361
C8.12(C22×C14) = C14×C4○D8φ: C22×C14/C2×C14C2 ⊆ Aut C8224C8.12(C2^2xC14)448,1355
C8.13(C22×C14) = C7×D4○SD16φ: C22×C14/C2×C14C2 ⊆ Aut C81124C8.13(C2^2xC14)448,1360
C8.14(C22×C14) = C7×Q8○M4(2)φ: C22×C14/C2×C14C2 ⊆ Aut C81124C8.14(C2^2xC14)448,1351
C8.15(C22×C14) = C14×M5(2)central extension (φ=1)224C8.15(C2^2xC14)448,911
C8.16(C22×C14) = C7×D4○C16central extension (φ=1)2242C8.16(C2^2xC14)448,912
C8.17(C22×C14) = C14×C8○D4central extension (φ=1)224C8.17(C2^2xC14)448,1350

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