# Extensions 1→N→G→Q→1 with N=C8 and Q=C7×D4

Direct product G=N×Q with N=C8 and Q=C7×D4
dρLabelID
D4×C56224D4xC56448,842

Semidirect products G=N:Q with N=C8 and Q=C7×D4
extensionφ:Q→Aut NdρLabelID
C81(C7×D4) = C7×C8⋊D4φ: C7×D4/C14C22 ⊆ Aut C8224C8:1(C7xD4)448,876
C82(C7×D4) = C7×C82D4φ: C7×D4/C14C22 ⊆ Aut C8224C8:2(C7xD4)448,877
C83(C7×D4) = C7×C83D4φ: C7×D4/C14C22 ⊆ Aut C8224C8:3(C7xD4)448,904
C84(C7×D4) = C7×C84D4φ: C7×D4/C28C2 ⊆ Aut C8224C8:4(C7xD4)448,901
C85(C7×D4) = C7×C85D4φ: C7×D4/C28C2 ⊆ Aut C8224C8:5(C7xD4)448,900
C86(C7×D4) = C7×C86D4φ: C7×D4/C28C2 ⊆ Aut C8224C8:6(C7xD4)448,844
C87(C7×D4) = C7×C87D4φ: C7×D4/C2×C14C2 ⊆ Aut C8224C8:7(C7xD4)448,874
C88(C7×D4) = C7×C88D4φ: C7×D4/C2×C14C2 ⊆ Aut C8224C8:8(C7xD4)448,873
C89(C7×D4) = C7×C89D4φ: C7×D4/C2×C14C2 ⊆ Aut C8224C8:9(C7xD4)448,843

Non-split extensions G=N.Q with N=C8 and Q=C7×D4
extensionφ:Q→Aut NdρLabelID
C8.1(C7×D4) = C7×C8.D4φ: C7×D4/C14C22 ⊆ Aut C8224C8.1(C7xD4)448,878
C8.2(C7×D4) = C7×C8.2D4φ: C7×D4/C14C22 ⊆ Aut C8224C8.2(C7xD4)448,905
C8.3(C7×D4) = C7×C16⋊C22φ: C7×D4/C14C22 ⊆ Aut C81124C8.3(C7xD4)448,917
C8.4(C7×D4) = C7×Q32⋊C2φ: C7×D4/C14C22 ⊆ Aut C82244C8.4(C7xD4)448,918
C8.5(C7×D4) = C7×D32φ: C7×D4/C28C2 ⊆ Aut C82242C8.5(C7xD4)448,175
C8.6(C7×D4) = C7×SD64φ: C7×D4/C28C2 ⊆ Aut C82242C8.6(C7xD4)448,176
C8.7(C7×D4) = C7×Q64φ: C7×D4/C28C2 ⊆ Aut C84482C8.7(C7xD4)448,177
C8.8(C7×D4) = C7×C4⋊Q16φ: C7×D4/C28C2 ⊆ Aut C8448C8.8(C7xD4)448,902
C8.9(C7×D4) = C14×D16φ: C7×D4/C28C2 ⊆ Aut C8224C8.9(C7xD4)448,913
C8.10(C7×D4) = C14×SD32φ: C7×D4/C28C2 ⊆ Aut C8224C8.10(C7xD4)448,914
C8.11(C7×D4) = C14×Q32φ: C7×D4/C28C2 ⊆ Aut C8448C8.11(C7xD4)448,915
C8.12(C7×D4) = C7×C8.12D4φ: C7×D4/C28C2 ⊆ Aut C8224C8.12(C7xD4)448,903
C8.13(C7×D4) = C7×C4○D16φ: C7×D4/C28C2 ⊆ Aut C82242C8.13(C7xD4)448,916
C8.14(C7×D4) = C7×C2.D16φ: C7×D4/C2×C14C2 ⊆ Aut C8224C8.14(C7xD4)448,161
C8.15(C7×D4) = C7×C2.Q32φ: C7×D4/C2×C14C2 ⊆ Aut C8448C8.15(C7xD4)448,162
C8.16(C7×D4) = C7×M5(2)⋊C2φ: C7×D4/C2×C14C2 ⊆ Aut C81124C8.16(C7xD4)448,165
C8.17(C7×D4) = C7×C8.17D4φ: C7×D4/C2×C14C2 ⊆ Aut C82244C8.17(C7xD4)448,166
C8.18(C7×D4) = C7×C8.18D4φ: C7×D4/C2×C14C2 ⊆ Aut C8224C8.18(C7xD4)448,875
C8.19(C7×D4) = C7×D4.4D4φ: C7×D4/C2×C14C2 ⊆ Aut C81124C8.19(C7xD4)448,880
C8.20(C7×D4) = C7×D4.5D4φ: C7×D4/C2×C14C2 ⊆ Aut C82244C8.20(C7xD4)448,881
C8.21(C7×D4) = C7×D8.C4φ: C7×D4/C2×C14C2 ⊆ Aut C82242C8.21(C7xD4)448,163
C8.22(C7×D4) = C7×D82C4φ: C7×D4/C2×C14C2 ⊆ Aut C81124C8.22(C7xD4)448,164
C8.23(C7×D4) = C7×D4.3D4φ: C7×D4/C2×C14C2 ⊆ Aut C81124C8.23(C7xD4)448,879
C8.24(C7×D4) = C7×C23.C8φ: C7×D4/C2×C14C2 ⊆ Aut C81124C8.24(C7xD4)448,153
C8.25(C7×D4) = C7×C8.26D4φ: C7×D4/C2×C14C2 ⊆ Aut C81124C8.25(C7xD4)448,852
C8.26(C7×D4) = C7×C22⋊C16central extension (φ=1)224C8.26(C7xD4)448,152
C8.27(C7×D4) = C7×D4.C8central extension (φ=1)2242C8.27(C7xD4)448,154
C8.28(C7×D4) = C7×C4⋊C16central extension (φ=1)448C8.28(C7xD4)448,167
C8.29(C7×D4) = C7×C8.C8central extension (φ=1)1122C8.29(C7xD4)448,168
C8.30(C7×D4) = C7×C8○D8central extension (φ=1)1122C8.30(C7xD4)448,851

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