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Extensions 1→N→G→Q→1 with N=C60 and Q=C4

Direct product G=N×Q with N=C60 and Q=C4
dρLabelID
C4×C60240C4xC60240,81

Semidirect products G=N:Q with N=C60 and Q=C4
extensionφ:Q→Aut NdρLabelID
C60⋊1C4 = C60⋊C4φ: C4/C1 → C4 ⊆ Aut C60604C60:1C4240,121
C60⋊2C4 = C4×C3⋊F5φ: C4/C1 → C4 ⊆ Aut C60604C60:2C4240,120
C60⋊3C4 = C3×C4⋊F5φ: C4/C1 → C4 ⊆ Aut C60604C60:3C4240,114
C60⋊4C4 = C12×F5φ: C4/C1 → C4 ⊆ Aut C60604C60:4C4240,113
C60⋊5C4 = C60⋊5C4φ: C4/C2 → C2 ⊆ Aut C60240C60:5C4240,74
C60⋊6C4 = C4×Dic15φ: C4/C2 → C2 ⊆ Aut C60240C60:6C4240,72
C60⋊7C4 = C3×C4⋊Dic5φ: C4/C2 → C2 ⊆ Aut C60240C60:7C4240,42
C60⋊8C4 = C5×C4⋊Dic3φ: C4/C2 → C2 ⊆ Aut C60240C60:8C4240,58
C60⋊9C4 = C12×Dic5φ: C4/C2 → C2 ⊆ Aut C60240C60:9C4240,40
C60⋊10C4 = Dic3×C20φ: C4/C2 → C2 ⊆ Aut C60240C60:10C4240,56
C60⋊11C4 = C15×C4⋊C4φ: C4/C2 → C2 ⊆ Aut C60240C60:11C4240,83

Non-split extensions G=N.Q with N=C60 and Q=C4
extensionφ:Q→Aut NdρLabelID
C60.1C4 = C12.F5φ: C4/C1 → C4 ⊆ Aut C601204C60.1C4240,119
C60.2C4 = C15⋊C16φ: C4/C1 → C4 ⊆ Aut C602404C60.2C4240,6
C60.3C4 = C60.C4φ: C4/C1 → C4 ⊆ Aut C601204C60.3C4240,118
C60.4C4 = C3×C4.F5φ: C4/C1 → C4 ⊆ Aut C601204C60.4C4240,112
C60.5C4 = C3×C5⋊C16φ: C4/C1 → C4 ⊆ Aut C602404C60.5C4240,5
C60.6C4 = C3×D5⋊C8φ: C4/C1 → C4 ⊆ Aut C601204C60.6C4240,111
C60.7C4 = C60.7C4φ: C4/C2 → C2 ⊆ Aut C601202C60.7C4240,71
C60.8C4 = C15⋊3C16φ: C4/C2 → C2 ⊆ Aut C602402C60.8C4240,3
C60.9C4 = C2×C15⋊3C8φ: C4/C2 → C2 ⊆ Aut C60240C60.9C4240,70
C60.10C4 = C3×C4.Dic5φ: C4/C2 → C2 ⊆ Aut C601202C60.10C4240,39
C60.11C4 = C5×C4.Dic3φ: C4/C2 → C2 ⊆ Aut C601202C60.11C4240,55
C60.12C4 = C3×C5⋊2C16φ: C4/C2 → C2 ⊆ Aut C602402C60.12C4240,2
C60.13C4 = C6×C5⋊2C8φ: C4/C2 → C2 ⊆ Aut C60240C60.13C4240,38
C60.14C4 = C5×C3⋊C16φ: C4/C2 → C2 ⊆ Aut C602402C60.14C4240,1
C60.15C4 = C10×C3⋊C8φ: C4/C2 → C2 ⊆ Aut C60240C60.15C4240,54
C60.16C4 = C15×M4(2)φ: C4/C2 → C2 ⊆ Aut C601202C60.16C4240,85

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