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

Direct product G=N×Q with N=C5 and Q=C4×C3⋊D4
dρLabelID
C20×C3⋊D4240C20xC3:D4480,807

Semidirect products G=N:Q with N=C5 and Q=C4×C3⋊D4
extensionφ:Q→Aut NdρLabelID
C5⋊(C4×C3⋊D4) = F5×C3⋊D4φ: C4×C3⋊D4/C3⋊D4 → C4 ⊆ Aut C5608C5:(C4xC3:D4)480,1010
C5⋊2(C4×C3⋊D4) = C4×C3⋊D20φ: C4×C3⋊D4/C4×Dic3 → C2 ⊆ Aut C5240C5:2(C4xC3:D4)480,519
C5⋊3(C4×C3⋊D4) = C15⋊20(C4×D4)φ: C4×C3⋊D4/Dic3⋊C4 → C2 ⊆ Aut C5240C5:3(C4xC3:D4)480,520
C5⋊4(C4×C3⋊D4) = D6⋊(C4×D5)φ: C4×C3⋊D4/D6⋊C4 → C2 ⊆ Aut C5240C5:4(C4xC3:D4)480,516
C5⋊5(C4×C3⋊D4) = C15⋊26(C4×D4)φ: C4×C3⋊D4/C6.D4 → C2 ⊆ Aut C5240C5:5(C4xC3:D4)480,628
C5⋊6(C4×C3⋊D4) = C4×C15⋊D4φ: C4×C3⋊D4/S3×C2×C4 → C2 ⊆ Aut C5240C5:6(C4xC3:D4)480,515
C5⋊7(C4×C3⋊D4) = Dic5×C3⋊D4φ: C4×C3⋊D4/C2×C3⋊D4 → C2 ⊆ Aut C5240C5:7(C4xC3:D4)480,627
C5⋊8(C4×C3⋊D4) = C4×C15⋊7D4φ: C4×C3⋊D4/C22×C12 → C2 ⊆ Aut C5240C5:8(C4xC3:D4)480,893


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