Extensions 1→N→G→Q→1 with N=C15 and Q=C22⋊C4

Direct product G=N×Q with N=C15 and Q=C22⋊C4
dρLabelID
C15×C22⋊C4120C15xC2^2:C4240,82

Semidirect products G=N:Q with N=C15 and Q=C22⋊C4
extensionφ:Q→Aut NdρLabelID
C15⋊(C22⋊C4) = D6⋊F5φ: C22⋊C4/C2 → C2×C4 ⊆ Aut C15608+C15:(C2^2:C4)240,96
C15⋊2(C22⋊C4) = D10.D6φ: C22⋊C4/C22 → C4 ⊆ Aut C15604C15:2(C2^2:C4)240,124
C15⋊3(C22⋊C4) = C3×C22⋊F5φ: C22⋊C4/C22 → C4 ⊆ Aut C15604C15:3(C2^2:C4)240,117
C15⋊4(C22⋊C4) = D10⋊Dic3φ: C22⋊C4/C22 → C22 ⊆ Aut C15120C15:4(C2^2:C4)240,26
C15⋊5(C22⋊C4) = D6⋊Dic5φ: C22⋊C4/C22 → C22 ⊆ Aut C15120C15:5(C2^2:C4)240,27
C15⋊6(C22⋊C4) = D30⋊4C4φ: C22⋊C4/C22 → C22 ⊆ Aut C15120C15:6(C2^2:C4)240,28
C15⋊7(C22⋊C4) = D30⋊3C4φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C15120C15:7(C2^2:C4)240,75
C15⋊8(C22⋊C4) = C3×D10⋊C4φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C15120C15:8(C2^2:C4)240,43
C15⋊9(C22⋊C4) = C5×D6⋊C4φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C15120C15:9(C2^2:C4)240,59
C15⋊10(C22⋊C4) = C30.38D4φ: C22⋊C4/C23 → C2 ⊆ Aut C15120C15:10(C2^2:C4)240,80
C15⋊11(C22⋊C4) = C3×C23.D5φ: C22⋊C4/C23 → C2 ⊆ Aut C15120C15:11(C2^2:C4)240,48
C15⋊12(C22⋊C4) = C5×C6.D4φ: C22⋊C4/C23 → C2 ⊆ Aut C15120C15:12(C2^2:C4)240,64


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