Extensions 1→N→G→Q→1 with N=C5×Q8 and Q=D5

Direct product G=N×Q with N=C5×Q8 and Q=D5
dρLabelID
C5×Q8×D5804C5xQ8xD5400,187

Semidirect products G=N:Q with N=C5×Q8 and Q=D5
extensionφ:Q→Out NdρLabelID
(C5×Q8)⋊1D5 = C5210SD16φ: D5/C5C2 ⊆ Out C5×Q8200(C5xQ8):1D5400,105
(C5×Q8)⋊2D5 = Q8×C5⋊D5φ: D5/C5C2 ⊆ Out C5×Q8200(C5xQ8):2D5400,197
(C5×Q8)⋊3D5 = C20.26D10φ: D5/C5C2 ⊆ Out C5×Q8200(C5xQ8):3D5400,198
(C5×Q8)⋊4D5 = C5×Q8⋊D5φ: D5/C5C2 ⊆ Out C5×Q8804(C5xQ8):4D5400,89
(C5×Q8)⋊5D5 = C5×Q82D5φ: trivial image804(C5xQ8):5D5400,188

Non-split extensions G=N.Q with N=C5×Q8 and Q=D5
extensionφ:Q→Out NdρLabelID
(C5×Q8).1D5 = C25⋊Q16φ: D5/C5C2 ⊆ Out C5×Q84004-(C5xQ8).1D5400,17
(C5×Q8).2D5 = Q8⋊D25φ: D5/C5C2 ⊆ Out C5×Q82004+(C5xQ8).2D5400,18
(C5×Q8).3D5 = Q8×D25φ: D5/C5C2 ⊆ Out C5×Q82004-(C5xQ8).3D5400,41
(C5×Q8).4D5 = Q82D25φ: D5/C5C2 ⊆ Out C5×Q82004+(C5xQ8).4D5400,42
(C5×Q8).5D5 = C527Q16φ: D5/C5C2 ⊆ Out C5×Q8400(C5xQ8).5D5400,106
(C5×Q8).6D5 = C5×C5⋊Q16φ: D5/C5C2 ⊆ Out C5×Q8804(C5xQ8).6D5400,90

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