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

Direct product G=NxQ with N=C15 and Q=C4:C4
dρLabelID
C15xC4: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/C2 → C2xC4 ⊆ Aut C15608-C15:(C4:C4)240,97
C15:2(C4:C4) = C60:C4φ: C4:C4/C4 → C4 ⊆ Aut C15604C15:2(C4:C4)240,121
C15:3(C4:C4) = C3xC4:F5φ: C4:C4/C4 → C4 ⊆ Aut C15604C15:3(C4:C4)240,114
C15:4(C4:C4) = C30.Q8φ: C4:C4/C22 → C22 ⊆ Aut C15240C15:4(C4:C4)240,29
C15:5(C4:C4) = Dic15:5C4φ: C4:C4/C22 → C22 ⊆ Aut C15240C15:5(C4:C4)240,30
C15:6(C4:C4) = C6.Dic10φ: C4:C4/C22 → C22 ⊆ Aut C15240C15:6(C4:C4)240,31
C15:7(C4:C4) = C30.4Q8φ: C4:C4/C2xC4 → C2 ⊆ Aut C15240C15:7(C4:C4)240,73
C15:8(C4:C4) = C60:5C4φ: C4:C4/C2xC4 → C2 ⊆ Aut C15240C15:8(C4:C4)240,74
C15:9(C4:C4) = C3xC10.D4φ: C4:C4/C2xC4 → C2 ⊆ Aut C15240C15:9(C4:C4)240,41
C15:10(C4:C4) = C3xC4:Dic5φ: C4:C4/C2xC4 → C2 ⊆ Aut C15240C15:10(C4:C4)240,42
C15:11(C4:C4) = C5xDic3:C4φ: C4:C4/C2xC4 → C2 ⊆ Aut C15240C15:11(C4:C4)240,57
C15:12(C4:C4) = C5xC4:Dic3φ: C4:C4/C2xC4 → C2 ⊆ Aut C15240C15:12(C4:C4)240,58


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