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

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

Semidirect products G=N:Q with N=C15 and Q=C4⋊C4
extensionφ:Q→Aut NdρLabelID
C15⋊(C4⋊C4) = Dic3⋊F5φ: C4⋊C4/C2C2×C4 ⊆ Aut C15608-C15:(C4:C4)240,97
C152(C4⋊C4) = C60⋊C4φ: C4⋊C4/C4C4 ⊆ Aut C15604C15:2(C4:C4)240,121
C153(C4⋊C4) = C3×C4⋊F5φ: C4⋊C4/C4C4 ⊆ Aut C15604C15:3(C4:C4)240,114
C154(C4⋊C4) = C30.Q8φ: C4⋊C4/C22C22 ⊆ Aut C15240C15:4(C4:C4)240,29
C155(C4⋊C4) = Dic155C4φ: C4⋊C4/C22C22 ⊆ Aut C15240C15:5(C4:C4)240,30
C156(C4⋊C4) = C6.Dic10φ: C4⋊C4/C22C22 ⊆ Aut C15240C15:6(C4:C4)240,31
C157(C4⋊C4) = C30.4Q8φ: C4⋊C4/C2×C4C2 ⊆ Aut C15240C15:7(C4:C4)240,73
C158(C4⋊C4) = C605C4φ: C4⋊C4/C2×C4C2 ⊆ Aut C15240C15:8(C4:C4)240,74
C159(C4⋊C4) = C3×C10.D4φ: C4⋊C4/C2×C4C2 ⊆ Aut C15240C15:9(C4:C4)240,41
C1510(C4⋊C4) = C3×C4⋊Dic5φ: C4⋊C4/C2×C4C2 ⊆ Aut C15240C15:10(C4:C4)240,42
C1511(C4⋊C4) = C5×Dic3⋊C4φ: C4⋊C4/C2×C4C2 ⊆ Aut C15240C15:11(C4:C4)240,57
C1512(C4⋊C4) = C5×C4⋊Dic3φ: C4⋊C4/C2×C4C2 ⊆ Aut C15240C15:12(C4:C4)240,58


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