Extensions 1→N→G→Q→1 with N=Dic5 and Q=C24

Direct product G=N×Q with N=Dic5 and Q=C24
dρLabelID
Dic5×C24480Dic5xC24480,91

Semidirect products G=N:Q with N=Dic5 and Q=C24
extensionφ:Q→Out NdρLabelID
Dic51C24 = C3×C20.8Q8φ: C24/C12C2 ⊆ Out Dic5480Dic5:1C24480,92
Dic52C24 = C12×C5⋊C8φ: C24/C12C2 ⊆ Out Dic5480Dic5:2C24480,280
Dic53C24 = C3×Dic5⋊C8φ: C24/C12C2 ⊆ Out Dic5480Dic5:3C24480,284

Non-split extensions G=N.Q with N=Dic5 and Q=C24
extensionφ:Q→Out NdρLabelID
Dic5.1C24 = C3×C80⋊C2φ: C24/C12C2 ⊆ Out Dic52402Dic5.1C24480,76
Dic5.2C24 = C3×D5⋊C16φ: C24/C12C2 ⊆ Out Dic52404Dic5.2C24480,269
Dic5.3C24 = C3×C8.F5φ: C24/C12C2 ⊆ Out Dic52404Dic5.3C24480,270
Dic5.4C24 = D5×C48φ: trivial image2402Dic5.4C24480,75

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