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Extensions 1→N→G→Q→1 with N=C3 and Q=C4×C5⋊D4

Direct product G=N×Q with N=C3 and Q=C4×C5⋊D4
dρLabelID
C12×C5⋊D4240C12xC5:D4480,721

Semidirect products G=N:Q with N=C3 and Q=C4×C5⋊D4
extensionφ:Q→Aut NdρLabelID
C3⋊1(C4×C5⋊D4) = C4×C5⋊D12φ: C4×C5⋊D4/C4×Dic5 → C2 ⊆ Aut C3240C3:1(C4xC5:D4)480,521
C3⋊2(C4×C5⋊D4) = C15⋊22(C4×D4)φ: C4×C5⋊D4/C10.D4 → C2 ⊆ Aut C3240C3:2(C4xC5:D4)480,522
C3⋊3(C4×C5⋊D4) = C15⋊17(C4×D4)φ: C4×C5⋊D4/D10⋊C4 → C2 ⊆ Aut C3240C3:3(C4xC5:D4)480,517
C3⋊4(C4×C5⋊D4) = C15⋊28(C4×D4)φ: C4×C5⋊D4/C23.D5 → C2 ⊆ Aut C3240C3:4(C4xC5:D4)480,632
C3⋊5(C4×C5⋊D4) = C4×C15⋊D4φ: C4×C5⋊D4/C2×C4×D5 → C2 ⊆ Aut C3240C3:5(C4xC5:D4)480,515
C3⋊6(C4×C5⋊D4) = Dic3×C5⋊D4φ: C4×C5⋊D4/C2×C5⋊D4 → C2 ⊆ Aut C3240C3:6(C4xC5:D4)480,629
C3⋊7(C4×C5⋊D4) = C4×C15⋊7D4φ: C4×C5⋊D4/C22×C20 → C2 ⊆ Aut C3240C3:7(C4xC5:D4)480,893


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