Extensions 1→N→G→Q→1 with N=C3 and Q=Q8.10D10

Direct product G=N×Q with N=C3 and Q=Q8.10D10
dρLabelID
C3×Q8.10D102404C3xQ8.10D10480,1144

Semidirect products G=N:Q with N=C3 and Q=Q8.10D10
extensionφ:Q→Aut NdρLabelID
C31(Q8.10D10) = D20.38D6φ: Q8.10D10/C4○D20C2 ⊆ Aut C32404C3:1(Q8.10D10)480,1076
C32(Q8.10D10) = C30.33C24φ: Q8.10D10/Q8×D5C2 ⊆ Aut C32408+C3:2(Q8.10D10)480,1105
C33(Q8.10D10) = D20.29D6φ: Q8.10D10/Q82D5C2 ⊆ Aut C32408-C3:3(Q8.10D10)480,1104
C34(Q8.10D10) = Q8.15D30φ: Q8.10D10/Q8×C10C2 ⊆ Aut C32404C3:4(Q8.10D10)480,1174


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