Extensions 1→N→G→Q→1 with N=C5 and Q=D6⋊Q8

Direct product G=N×Q with N=C5 and Q=D6⋊Q8
dρLabelID
C5×D6⋊Q8240C5xD6:Q8480,775

Semidirect products G=N:Q with N=C5 and Q=D6⋊Q8
extensionφ:Q→Aut NdρLabelID
C5⋊1(D6⋊Q8) = D30⋊8Q8φ: D6⋊Q8/Dic3⋊C4 → C2 ⊆ Aut C5240C5:1(D6:Q8)480,453
C5⋊2(D6⋊Q8) = D30⋊4Q8φ: D6⋊Q8/Dic3⋊C4 → C2 ⊆ Aut C5240C5:2(D6:Q8)480,505
C5⋊3(D6⋊Q8) = D6⋊3Dic10φ: D6⋊Q8/D6⋊C4 → C2 ⊆ Aut C5240C5:3(D6:Q8)480,508
C5⋊4(D6⋊Q8) = D6⋊4Dic10φ: D6⋊Q8/D6⋊C4 → C2 ⊆ Aut C5240C5:4(D6:Q8)480,512
C5⋊5(D6⋊Q8) = D30⋊5Q8φ: D6⋊Q8/C3×C4⋊C4 → C2 ⊆ Aut C5240C5:5(D6:Q8)480,861
C5⋊6(D6⋊Q8) = D30⋊3Q8φ: D6⋊Q8/C2×Dic6 → C2 ⊆ Aut C5240C5:6(D6:Q8)480,500
C5⋊7(D6⋊Q8) = D6⋊Dic10φ: D6⋊Q8/S3×C2×C4 → C2 ⊆ Aut C5240C5:7(D6:Q8)480,428


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