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

Direct product G=N×Q with N=C15 and Q=C42
dρLabelID
C4×C60240C4xC60240,81

Semidirect products G=N:Q with N=C15 and Q=C42
extensionφ:Q→Aut NdρLabelID
C15⋊C42 = Dic3×F5φ: C42/C2 → C2×C4 ⊆ Aut C15608-C15:C4^2240,95
C15⋊2C42 = C4×C3⋊F5φ: C42/C4 → C4 ⊆ Aut C15604C15:2C4^2240,120
C15⋊3C42 = C12×F5φ: C42/C4 → C4 ⊆ Aut C15604C15:3C4^2240,113
C15⋊4C42 = Dic3×Dic5φ: C42/C22 → C22 ⊆ Aut C15240C15:4C4^2240,25
C15⋊5C42 = C4×Dic15φ: C42/C2×C4 → C2 ⊆ Aut C15240C15:5C4^2240,72
C15⋊6C42 = C12×Dic5φ: C42/C2×C4 → C2 ⊆ Aut C15240C15:6C4^2240,40
C15⋊7C42 = Dic3×C20φ: C42/C2×C4 → C2 ⊆ Aut C15240C15:7C4^2240,56


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