Extensions 1→N→G→Q→1 with N=D4 and Q=C5×D4

Direct product G=N×Q with N=D4 and Q=C5×D4
dρLabelID
C5×D4280C5xD4^2320,1547

Semidirect products G=N:Q with N=D4 and Q=C5×D4
extensionφ:Q→Out NdρLabelID
D41(C5×D4) = C5×C4⋊D8φ: C5×D4/C20C2 ⊆ Out D4160D4:1(C5xD4)320,960
D42(C5×D4) = C5×C22⋊D8φ: C5×D4/C2×C10C2 ⊆ Out D480D4:2(C5xD4)320,948
D43(C5×D4) = C5×D4⋊D4φ: C5×D4/C2×C10C2 ⊆ Out D4160D4:3(C5xD4)320,950
D44(C5×D4) = C5×D44D4φ: C5×D4/C2×C10C2 ⊆ Out D4404D4:4(C5xD4)320,954
D45(C5×D4) = C5×D45D4φ: trivial image80D4:5(C5xD4)320,1548
D46(C5×D4) = C5×D46D4φ: trivial image160D4:6(C5xD4)320,1549

Non-split extensions G=N.Q with N=D4 and Q=C5×D4
extensionφ:Q→Out NdρLabelID
D4.1(C5×D4) = C5×D4.D4φ: C5×D4/C20C2 ⊆ Out D4160D4.1(C5xD4)320,962
D4.2(C5×D4) = C5×D4.2D4φ: C5×D4/C20C2 ⊆ Out D4160D4.2(C5xD4)320,964
D4.3(C5×D4) = C5×D4.3D4φ: C5×D4/C20C2 ⊆ Out D4804D4.3(C5xD4)320,972
D4.4(C5×D4) = C5×D4.4D4φ: C5×D4/C20C2 ⊆ Out D4804D4.4(C5xD4)320,973
D4.5(C5×D4) = C5×D4.5D4φ: C5×D4/C20C2 ⊆ Out D41604D4.5(C5xD4)320,974
D4.6(C5×D4) = C5×C22⋊SD16φ: C5×D4/C2×C10C2 ⊆ Out D480D4.6(C5xD4)320,951
D4.7(C5×D4) = C5×D4.7D4φ: C5×D4/C2×C10C2 ⊆ Out D4160D4.7(C5xD4)320,953
D4.8(C5×D4) = C5×D4.8D4φ: C5×D4/C2×C10C2 ⊆ Out D4804D4.8(C5xD4)320,955
D4.9(C5×D4) = C5×D4.9D4φ: C5×D4/C2×C10C2 ⊆ Out D4804D4.9(C5xD4)320,956
D4.10(C5×D4) = C5×D4.10D4φ: C5×D4/C2×C10C2 ⊆ Out D4804D4.10(C5xD4)320,957
D4.11(C5×D4) = C5×D4○D8φ: trivial image804D4.11(C5xD4)320,1578
D4.12(C5×D4) = C5×D4○SD16φ: trivial image804D4.12(C5xD4)320,1579
D4.13(C5×D4) = C5×Q8○D8φ: trivial image1604D4.13(C5xD4)320,1580

׿
×
𝔽