Extensions 1→N→G→Q→1 with N=D4 and Q=C60

Direct product G=N×Q with N=D4 and Q=C60
dρLabelID
D4×C60240D4xC60480,923

Semidirect products G=N:Q with N=D4 and Q=C60
extensionφ:Q→Out NdρLabelID
D41C60 = C15×D4⋊C4φ: C60/C30C2 ⊆ Out D4240D4:1C60480,205
D42C60 = C15×C4≀C2φ: C60/C30C2 ⊆ Out D41202D4:2C60480,207

Non-split extensions G=N.Q with N=D4 and Q=C60
extensionφ:Q→Out NdρLabelID
D4.C60 = C15×C8○D4φ: trivial image2402D4.C60480,936

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