Direct product G=NxQ with N=C4 and Q=D60
Semidirect products G=N:Q with N=C4 and Q=D60
Non-split extensions G=N.Q with N=C4 and Q=D60
extension | φ:Q→Aut N | d | ρ | Label | ID |
C4.1D60 = D240 | φ: D60/C60 → C2 ⊆ Aut C4 | 240 | 2+ | C4.1D60 | 480,159 |
C4.2D60 = C48:D5 | φ: D60/C60 → C2 ⊆ Aut C4 | 240 | 2 | C4.2D60 | 480,160 |
C4.3D60 = Dic120 | φ: D60/C60 → C2 ⊆ Aut C4 | 480 | 2- | C4.3D60 | 480,161 |
C4.4D60 = C60:8Q8 | φ: D60/C60 → C2 ⊆ Aut C4 | 480 | | C4.4D60 | 480,834 |
C4.5D60 = C42:7D15 | φ: D60/C60 → C2 ⊆ Aut C4 | 240 | | C4.5D60 | 480,840 |
C4.6D60 = C2xC24:D5 | φ: D60/C60 → C2 ⊆ Aut C4 | 240 | | C4.6D60 | 480,867 |
C4.7D60 = C2xD120 | φ: D60/C60 → C2 ⊆ Aut C4 | 240 | | C4.7D60 | 480,868 |
C4.8D60 = C2xDic60 | φ: D60/C60 → C2 ⊆ Aut C4 | 480 | | C4.8D60 | 480,870 |
C4.9D60 = D60:9C4 | φ: D60/D30 → C2 ⊆ Aut C4 | 240 | | C4.9D60 | 480,169 |
C4.10D60 = Dic30:9C4 | φ: D60/D30 → C2 ⊆ Aut C4 | 480 | | C4.10D60 | 480,170 |
C4.11D60 = M4(2):D15 | φ: D60/D30 → C2 ⊆ Aut C4 | 120 | 4+ | C4.11D60 | 480,183 |
C4.12D60 = C4.D60 | φ: D60/D30 → C2 ⊆ Aut C4 | 240 | 4- | C4.12D60 | 480,184 |
C4.13D60 = D30:6Q8 | φ: D60/D30 → C2 ⊆ Aut C4 | 240 | | C4.13D60 | 480,862 |
C4.14D60 = C8:D30 | φ: D60/D30 → C2 ⊆ Aut C4 | 120 | 4+ | C4.14D60 | 480,873 |
C4.15D60 = C8.D30 | φ: D60/D30 → C2 ⊆ Aut C4 | 240 | 4- | C4.15D60 | 480,874 |
C4.16D60 = C60:5C8 | central extension (φ=1) | 480 | | C4.16D60 | 480,164 |
C4.17D60 = D60:7C4 | central extension (φ=1) | 120 | 2 | C4.17D60 | 480,165 |
C4.18D60 = C4.18D60 | central extension (φ=1) | 240 | 2 | C4.18D60 | 480,179 |
C4.19D60 = D30:3C8 | central extension (φ=1) | 240 | | C4.19D60 | 480,180 |
C4.20D60 = C40.69D6 | central extension (φ=1) | 240 | 2 | C4.20D60 | 480,869 |
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