Extensions 1→N→G→Q→1 with N=Q8 and Q=C5×D4

Direct product G=N×Q with N=Q8 and Q=C5×D4
dρLabelID
C5×D4×Q8160C5xD4xQ8320,1551

Semidirect products G=N:Q with N=Q8 and Q=C5×D4
extensionφ:Q→Out NdρLabelID
Q81(C5×D4) = C5×C4⋊SD16φ: C5×D4/C20C2 ⊆ Out Q8160Q8:1(C5xD4)320,961
Q82(C5×D4) = C5×Q8⋊D4φ: C5×D4/C2×C10C2 ⊆ Out Q8160Q8:2(C5xD4)320,949
Q83(C5×D4) = C5×D4⋊D4φ: C5×D4/C2×C10C2 ⊆ Out Q8160Q8:3(C5xD4)320,950
Q84(C5×D4) = C5×D44D4φ: C5×D4/C2×C10C2 ⊆ Out Q8404Q8:4(C5xD4)320,954
Q85(C5×D4) = C5×Q85D4φ: trivial image160Q8:5(C5xD4)320,1550
Q86(C5×D4) = C5×Q86D4φ: trivial image160Q8:6(C5xD4)320,1552

Non-split extensions G=N.Q with N=Q8 and Q=C5×D4
extensionφ:Q→Out NdρLabelID
Q8.1(C5×D4) = C5×C42Q16φ: C5×D4/C20C2 ⊆ Out Q8320Q8.1(C5xD4)320,963
Q8.2(C5×D4) = C5×Q8.D4φ: C5×D4/C20C2 ⊆ Out Q8160Q8.2(C5xD4)320,965
Q8.3(C5×D4) = C5×D4.3D4φ: C5×D4/C20C2 ⊆ Out Q8804Q8.3(C5xD4)320,972
Q8.4(C5×D4) = C5×D4.4D4φ: C5×D4/C20C2 ⊆ Out Q8804Q8.4(C5xD4)320,973
Q8.5(C5×D4) = C5×D4.5D4φ: C5×D4/C20C2 ⊆ Out Q81604Q8.5(C5xD4)320,974
Q8.6(C5×D4) = C5×C22⋊Q16φ: C5×D4/C2×C10C2 ⊆ Out Q8160Q8.6(C5xD4)320,952
Q8.7(C5×D4) = C5×D4.7D4φ: C5×D4/C2×C10C2 ⊆ Out Q8160Q8.7(C5xD4)320,953
Q8.8(C5×D4) = C5×D4.8D4φ: C5×D4/C2×C10C2 ⊆ Out Q8804Q8.8(C5xD4)320,955
Q8.9(C5×D4) = C5×D4.9D4φ: C5×D4/C2×C10C2 ⊆ Out Q8804Q8.9(C5xD4)320,956
Q8.10(C5×D4) = C5×D4.10D4φ: C5×D4/C2×C10C2 ⊆ Out Q8804Q8.10(C5xD4)320,957
Q8.11(C5×D4) = C5×D4○D8φ: trivial image804Q8.11(C5xD4)320,1578
Q8.12(C5×D4) = C5×D4○SD16φ: trivial image804Q8.12(C5xD4)320,1579
Q8.13(C5×D4) = C5×Q8○D8φ: trivial image1604Q8.13(C5xD4)320,1580

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