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

Direct product G=N×Q with N=C5 and Q=C3×C4⋊C4
dρLabelID
C15×C4⋊C4240C15xC4:C4240,83

Semidirect products G=N:Q with N=C5 and Q=C3×C4⋊C4
extensionφ:Q→Aut NdρLabelID
C5⋊(C3×C4⋊C4) = C3×C4⋊F5φ: C3×C4⋊C4/C12 → C4 ⊆ Aut C5604C5:(C3xC4:C4)240,114
C5⋊2(C3×C4⋊C4) = C3×C10.D4φ: C3×C4⋊C4/C2×C12 → C2 ⊆ Aut C5240C5:2(C3xC4:C4)240,41
C5⋊3(C3×C4⋊C4) = C3×C4⋊Dic5φ: C3×C4⋊C4/C2×C12 → C2 ⊆ Aut C5240C5:3(C3xC4:C4)240,42


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