Extensions 1→N→G→Q→1 with N=C4 and Q=C7×D8

Direct product G=N×Q with N=C4 and Q=C7×D8
dρLabelID
D8×C28224D8xC28448,845

Semidirect products G=N:Q with N=C4 and Q=C7×D8
extensionφ:Q→Aut NdρLabelID
C41(C7×D8) = C7×C84D4φ: C7×D8/C56C2 ⊆ Aut C4224C4:1(C7xD8)448,901
C42(C7×D8) = C7×C4⋊D8φ: C7×D8/C7×D4C2 ⊆ Aut C4224C4:2(C7xD8)448,867

Non-split extensions G=N.Q with N=C4 and Q=C7×D8
extensionφ:Q→Aut NdρLabelID
C4.1(C7×D8) = C7×D32φ: C7×D8/C56C2 ⊆ Aut C42242C4.1(C7xD8)448,175
C4.2(C7×D8) = C7×SD64φ: C7×D8/C56C2 ⊆ Aut C42242C4.2(C7xD8)448,176
C4.3(C7×D8) = C7×Q64φ: C7×D8/C56C2 ⊆ Aut C44482C4.3(C7xD8)448,177
C4.4(C7×D8) = C7×C4.4D8φ: C7×D8/C56C2 ⊆ Aut C4224C4.4(C7xD8)448,894
C4.5(C7×D8) = C7×C82Q8φ: C7×D8/C56C2 ⊆ Aut C4448C4.5(C7xD8)448,908
C4.6(C7×D8) = C14×D16φ: C7×D8/C56C2 ⊆ Aut C4224C4.6(C7xD8)448,913
C4.7(C7×D8) = C14×SD32φ: C7×D8/C56C2 ⊆ Aut C4224C4.7(C7xD8)448,914
C4.8(C7×D8) = C14×Q32φ: C7×D8/C56C2 ⊆ Aut C4448C4.8(C7xD8)448,915
C4.9(C7×D8) = C7×C4.D8φ: C7×D8/C7×D4C2 ⊆ Aut C4224C4.9(C7xD8)448,135
C4.10(C7×D8) = C7×C4.10D8φ: C7×D8/C7×D4C2 ⊆ Aut C4448C4.10(C7xD8)448,136
C4.11(C7×D8) = C7×M5(2)⋊C2φ: C7×D8/C7×D4C2 ⊆ Aut C41124C4.11(C7xD8)448,165
C4.12(C7×D8) = C7×C8.17D4φ: C7×D8/C7×D4C2 ⊆ Aut C42244C4.12(C7xD8)448,166
C4.13(C7×D8) = C7×D4⋊Q8φ: C7×D8/C7×D4C2 ⊆ Aut C4224C4.13(C7xD8)448,882
C4.14(C7×D8) = C7×C16⋊C22φ: C7×D8/C7×D4C2 ⊆ Aut C41124C4.14(C7xD8)448,917
C4.15(C7×D8) = C7×Q32⋊C2φ: C7×D8/C7×D4C2 ⊆ Aut C42244C4.15(C7xD8)448,918
C4.16(C7×D8) = C7×D4⋊C8central extension (φ=1)224C4.16(C7xD8)448,129
C4.17(C7×D8) = C7×C81C8central extension (φ=1)448C4.17(C7xD8)448,139
C4.18(C7×D8) = C7×D8.C4central extension (φ=1)2242C4.18(C7xD8)448,163
C4.19(C7×D8) = C7×C8.4Q8central extension (φ=1)2242C4.19(C7xD8)448,172
C4.20(C7×D8) = C7×C4○D16central extension (φ=1)2242C4.20(C7xD8)448,916

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