Extensions 1→N→G→Q→1 with N=C5 and Q=C3×C4≀C2

Direct product G=N×Q with N=C5 and Q=C3×C4≀C2
dρLabelID
C15×C4≀C21202C15xC4wrC2480,207

Semidirect products G=N:Q with N=C5 and Q=C3×C4≀C2
extensionφ:Q→Aut NdρLabelID
C5⋊1(C3×C4≀C2) = C3×D4⋊F5φ: C3×C4≀C2/C3×D4 → C4 ⊆ Aut C51208C5:1(C3xC4wrC2)480,288
C5⋊2(C3×C4≀C2) = C3×Q8⋊2F5φ: C3×C4≀C2/C3×Q8 → C4 ⊆ Aut C51208C5:2(C3xC4wrC2)480,290
C5⋊3(C3×C4≀C2) = C3×D20⋊4C4φ: C3×C4≀C2/C4×C12 → C2 ⊆ Aut C51202C5:3(C3xC4wrC2)480,83
C5⋊4(C3×C4≀C2) = C3×D20⋊7C4φ: C3×C4≀C2/C3×M4(2) → C2 ⊆ Aut C51204C5:4(C3xC4wrC2)480,103
C5⋊5(C3×C4≀C2) = C3×D4⋊2Dic5φ: C3×C4≀C2/C3×C4○D4 → C2 ⊆ Aut C51204C5:5(C3xC4wrC2)480,115


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