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Extensions 1→N→G→Q→1 with N=C5 and Q=D4.D6

Direct product G=N×Q with N=C5 and Q=D4.D6
dρLabelID
C5×D4.D62404C5xD4.D6480,794

Semidirect products G=N:Q with N=C5 and Q=D4.D6
extensionφ:Q→Aut NdρLabelID
C5⋊1(D4.D6) = C40.2D6φ: D4.D6/C8⋊S3 → C2 ⊆ Aut C52404-C5:1(D4.D6)480,350
C5⋊2(D4.D6) = D30.3D4φ: D4.D6/Dic12 → C2 ⊆ Aut C52404C5:2(D4.D6)480,354
C5⋊3(D4.D6) = D30.9D4φ: D4.D6/D4.S3 → C2 ⊆ Aut C52408-C5:3(D4.D6)480,564
C5⋊4(D4.D6) = D20.17D6φ: D4.D6/C3⋊Q16 → C2 ⊆ Aut C52408-C5:4(D4.D6)480,598
C5⋊5(D4.D6) = SD16⋊D15φ: D4.D6/C3×SD16 → C2 ⊆ Aut C52404-C5:5(D4.D6)480,880
C5⋊6(D4.D6) = C60.10C23φ: D4.D6/D4⋊2S3 → C2 ⊆ Aut C52408-C5:6(D4.D6)480,562
C5⋊7(D4.D6) = D20.28D6φ: D4.D6/S3×Q8 → C2 ⊆ Aut C52408-C5:7(D4.D6)480,594


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