Extensions 1→N→G→Q→1 with N=C15 and Q=C2.C42

Direct product G=N×Q with N=C15 and Q=C2.C42
dρLabelID
C15×C2.C42480C15xC2.C4^2480,198

Semidirect products G=N:Q with N=C15 and Q=C2.C42
extensionφ:Q→Aut NdρLabelID
C15⋊(C2.C42) = D10.20D12φ: C2.C42/C22 → C2×C4 ⊆ Aut C15120C15:(C2.C4^2)480,243
C15⋊2(C2.C42) = D10.10D12φ: C2.C42/C2×C4 → C4 ⊆ Aut C15120C15:2(C2.C4^2)480,311
C15⋊3(C2.C42) = C3×D10.3Q8φ: C2.C42/C2×C4 → C4 ⊆ Aut C15120C15:3(C2.C4^2)480,286
C15⋊4(C2.C42) = C30.24C42φ: C2.C42/C23 → C22 ⊆ Aut C15480C15:4(C2.C4^2)480,70
C15⋊5(C2.C42) = C30.29C42φ: C2.C42/C22×C4 → C2 ⊆ Aut C15480C15:5(C2.C4^2)480,191
C15⋊6(C2.C42) = C3×C10.10C42φ: C2.C42/C22×C4 → C2 ⊆ Aut C15480C15:6(C2.C4^2)480,109
C15⋊7(C2.C42) = C5×C6.C42φ: C2.C42/C22×C4 → C2 ⊆ Aut C15480C15:7(C2.C4^2)480,150


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