# Extensions 1→N→G→Q→1 with N=C4○D4 and Q=C30

Direct product G=N×Q with N=C4○D4 and Q=C30
dρLabelID
C4○D4×C30240C4oD4xC30480,1183

Semidirect products G=N:Q with N=C4○D4 and Q=C30
extensionφ:Q→Out NdρLabelID
C4○D4⋊C30 = C5×D4.A4φ: C30/C5C6 ⊆ Out C4○D4804C4oD4:C30480,1132
C4○D42C30 = C10×C4.A4φ: C30/C10C3 ⊆ Out C4○D4160C4oD4:2C30480,1130
C4○D43C30 = C15×C4○D8φ: C30/C15C2 ⊆ Out C4○D42402C4oD4:3C30480,940
C4○D44C30 = C15×C8⋊C22φ: C30/C15C2 ⊆ Out C4○D41204C4oD4:4C30480,941
C4○D45C30 = C15×2+ 1+4φ: C30/C15C2 ⊆ Out C4○D41204C4oD4:5C30480,1184
C4○D46C30 = C15×2- 1+4φ: C30/C15C2 ⊆ Out C4○D42404C4oD4:6C30480,1185

Non-split extensions G=N.Q with N=C4○D4 and Q=C30
extensionφ:Q→Out NdρLabelID
C4○D4.C30 = C5×Q8.A4φ: C30/C5C6 ⊆ Out C4○D41204C4oD4.C30480,1131
C4○D4.2C30 = C5×C8.A4φ: C30/C10C3 ⊆ Out C4○D41602C4oD4.2C30480,660
C4○D4.3C30 = C15×C4≀C2φ: C30/C15C2 ⊆ Out C4○D41202C4oD4.3C30480,207
C4○D4.4C30 = C15×C8.C22φ: C30/C15C2 ⊆ Out C4○D42404C4oD4.4C30480,942
C4○D4.5C30 = C15×C8○D4φ: trivial image2402C4oD4.5C30480,936

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