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Extensions 1→N→G→Q→1 with N=C4 and Q=C5×D8

Direct product G=N×Q with N=C4 and Q=C5×D8
dρLabelID
D8×C20160D8xC20320,938

Semidirect products G=N:Q with N=C4 and Q=C5×D8
extensionφ:Q→Aut NdρLabelID
C4⋊1(C5×D8) = C5×C8⋊4D4φ: C5×D8/C40 → C2 ⊆ Aut C4160C4:1(C5xD8)320,994
C4⋊2(C5×D8) = C5×C4⋊D8φ: C5×D8/C5×D4 → C2 ⊆ Aut C4160C4:2(C5xD8)320,960

Non-split extensions G=N.Q with N=C4 and Q=C5×D8
extensionφ:Q→Aut NdρLabelID
C4.1(C5×D8) = C5×D32φ: C5×D8/C40 → C2 ⊆ Aut C41602C4.1(C5xD8)320,176
C4.2(C5×D8) = C5×SD64φ: C5×D8/C40 → C2 ⊆ Aut C41602C4.2(C5xD8)320,177
C4.3(C5×D8) = C5×Q64φ: C5×D8/C40 → C2 ⊆ Aut C43202C4.3(C5xD8)320,178
C4.4(C5×D8) = C5×C4.4D8φ: C5×D8/C40 → C2 ⊆ Aut C4160C4.4(C5xD8)320,987
C4.5(C5×D8) = C5×C8⋊2Q8φ: C5×D8/C40 → C2 ⊆ Aut C4320C4.5(C5xD8)320,1001
C4.6(C5×D8) = C10×D16φ: C5×D8/C40 → C2 ⊆ Aut C4160C4.6(C5xD8)320,1006
C4.7(C5×D8) = C10×SD32φ: C5×D8/C40 → C2 ⊆ Aut C4160C4.7(C5xD8)320,1007
C4.8(C5×D8) = C10×Q32φ: C5×D8/C40 → C2 ⊆ Aut C4320C4.8(C5xD8)320,1008
C4.9(C5×D8) = C5×C4.D8φ: C5×D8/C5×D4 → C2 ⊆ Aut C4160C4.9(C5xD8)320,136
C4.10(C5×D8) = C5×C4.10D8φ: C5×D8/C5×D4 → C2 ⊆ Aut C4320C4.10(C5xD8)320,137
C4.11(C5×D8) = C5×M5(2)⋊C2φ: C5×D8/C5×D4 → C2 ⊆ Aut C4804C4.11(C5xD8)320,166
C4.12(C5×D8) = C5×C8.17D4φ: C5×D8/C5×D4 → C2 ⊆ Aut C41604C4.12(C5xD8)320,167
C4.13(C5×D8) = C5×D4⋊Q8φ: C5×D8/C5×D4 → C2 ⊆ Aut C4160C4.13(C5xD8)320,975
C4.14(C5×D8) = C5×C16⋊C22φ: C5×D8/C5×D4 → C2 ⊆ Aut C4804C4.14(C5xD8)320,1010
C4.15(C5×D8) = C5×Q32⋊C2φ: C5×D8/C5×D4 → C2 ⊆ Aut C41604C4.15(C5xD8)320,1011
C4.16(C5×D8) = C5×D4⋊C8central extension (φ=1)160C4.16(C5xD8)320,130
C4.17(C5×D8) = C5×C8⋊1C8central extension (φ=1)320C4.17(C5xD8)320,140
C4.18(C5×D8) = C5×D8.C4central extension (φ=1)1602C4.18(C5xD8)320,164
C4.19(C5×D8) = C5×C8.4Q8central extension (φ=1)1602C4.19(C5xD8)320,173
C4.20(C5×D8) = C5×C4○D16central extension (φ=1)1602C4.20(C5xD8)320,1009

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