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Extensions 1→N→G→Q→1 with N=C4 and Q=D4.D5

Direct product G=N×Q with N=C4 and Q=D4.D5
dρLabelID
C4×D4.D5160C4xD4.D5320,644

Semidirect products G=N:Q with N=C4 and Q=D4.D5
extensionφ:Q→Aut NdρLabelID
C4⋊1(D4.D5) = C20⋊4SD16φ: D4.D5/C5⋊2C8 → C2 ⊆ Aut C4160C4:1(D4.D5)320,703
C4⋊2(D4.D5) = Dic10⋊9D4φ: D4.D5/Dic10 → C2 ⊆ Aut C4160C4:2(D4.D5)320,702
C4⋊3(D4.D5) = D4.2D20φ: D4.D5/C5×D4 → C2 ⊆ Aut C4160C4:3(D4.D5)320,646

Non-split extensions G=N.Q with N=C4 and Q=D4.D5
extensionφ:Q→Aut NdρLabelID
C4.1(D4.D5) = C10.D16φ: D4.D5/C5⋊2C8 → C2 ⊆ Aut C4160C4.1(D4.D5)320,120
C4.2(D4.D5) = C40.15D4φ: D4.D5/C5⋊2C8 → C2 ⊆ Aut C4320C4.2(D4.D5)320,122
C4.3(D4.D5) = C20.16D8φ: D4.D5/C5⋊2C8 → C2 ⊆ Aut C4160C4.3(D4.D5)320,697
C4.4(D4.D5) = C20.SD16φ: D4.D5/C5⋊2C8 → C2 ⊆ Aut C4320C4.4(D4.D5)320,706
C4.5(D4.D5) = C20.11Q16φ: D4.D5/C5⋊2C8 → C2 ⊆ Aut C4320C4.5(D4.D5)320,720
C4.6(D4.D5) = C20.9D8φ: D4.D5/Dic10 → C2 ⊆ Aut C4160C4.6(D4.D5)320,102
C4.7(D4.D5) = C20.10D8φ: D4.D5/Dic10 → C2 ⊆ Aut C4320C4.7(D4.D5)320,105
C4.8(D4.D5) = Dic10⋊6Q8φ: D4.D5/Dic10 → C2 ⊆ Aut C4320C4.8(D4.D5)320,721
C4.9(D4.D5) = C4.Dic20φ: D4.D5/C5×D4 → C2 ⊆ Aut C4320C4.9(D4.D5)320,39
C4.10(D4.D5) = C20.2D8φ: D4.D5/C5×D4 → C2 ⊆ Aut C4320C4.10(D4.D5)320,44
C4.11(D4.D5) = C40.6Q8φ: D4.D5/C5×D4 → C2 ⊆ Aut C4804C4.11(D4.D5)320,52
C4.12(D4.D5) = D8⋊2Dic5φ: D4.D5/C5×D4 → C2 ⊆ Aut C4804C4.12(D4.D5)320,124
C4.13(D4.D5) = C20.38SD16φ: D4.D5/C5×D4 → C2 ⊆ Aut C4160C4.13(D4.D5)320,635
C4.14(D4.D5) = C20.39SD16central extension (φ=1)320C4.14(D4.D5)320,38
C4.15(D4.D5) = Dic10⋊4C8central extension (φ=1)320C4.15(D4.D5)320,42
C4.16(D4.D5) = C20.57D8central extension (φ=1)160C4.16(D4.D5)320,92

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