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Extensions 1→N→G→Q→1 with N=C5 and Q=Q8.7D6

Direct product G=N×Q with N=C5 and Q=Q8.7D6
dρLabelID
C5×Q8.7D62404C5xQ8.7D6480,795

Semidirect products G=N:Q with N=C5 and Q=Q8.7D6
extensionφ:Q→Aut NdρLabelID
C5⋊1(Q8.7D6) = D6.1D20φ: Q8.7D6/S3×C8 → C2 ⊆ Aut C52404C5:1(Q8.7D6)480,348
C5⋊2(Q8.7D6) = Dic6.D10φ: Q8.7D6/C24⋊C2 → C2 ⊆ Aut C52404C5:2(Q8.7D6)480,352
C5⋊3(Q8.7D6) = D30.11D4φ: Q8.7D6/D4⋊S3 → C2 ⊆ Aut C52408-C5:3(Q8.7D6)480,575
C5⋊4(Q8.7D6) = D20.16D6φ: Q8.7D6/C3⋊Q16 → C2 ⊆ Aut C52408+C5:4(Q8.7D6)480,597
C5⋊5(Q8.7D6) = D4.5D30φ: Q8.7D6/C3×SD16 → C2 ⊆ Aut C52404C5:5(Q8.7D6)480,881
C5⋊6(Q8.7D6) = C60.19C23φ: Q8.7D6/D4⋊2S3 → C2 ⊆ Aut C52408+C5:6(Q8.7D6)480,571
C5⋊7(Q8.7D6) = D20.27D6φ: Q8.7D6/Q8⋊3S3 → C2 ⊆ Aut C52408-C5:7(Q8.7D6)480,593


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