Extensions 1→N→G→Q→1 with N=D10 and Q=D7

Direct product G=N×Q with N=D10 and Q=D7
dρLabelID
C2×D5×D7704+C2xD5xD7280,36

Semidirect products G=N:Q with N=D10 and Q=D7
extensionφ:Q→Out NdρLabelID
D101D7 = C35⋊D4φ: D7/C7C2 ⊆ Out D101404-D10:1D7280,10
D102D7 = C7⋊D20φ: D7/C7C2 ⊆ Out D101404+D10:2D7280,12

Non-split extensions G=N.Q with N=D10 and Q=D7
extensionφ:Q→Out NdρLabelID
D10.D7 = C2×C7⋊F5φ: D7/C7C2 ⊆ Out D10704D10.D7280,35
D10.2D7 = D5×Dic7φ: trivial image1404-D10.2D7280,8

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