Extensions 1→N→G→Q→1 with N=D4 and Q=C30

Direct product G=N×Q with N=D4 and Q=C30
dρLabelID
D4×C30120D4xC30240,186

Semidirect products G=N:Q with N=D4 and Q=C30
extensionφ:Q→Out NdρLabelID
D4⋊C30 = C15×D8φ: C30/C15C2 ⊆ Out D41202D4:C30240,86
D42C30 = C15×C4○D4φ: trivial image1202D4:2C30240,188

Non-split extensions G=N.Q with N=D4 and Q=C30
extensionφ:Q→Out NdρLabelID
D4.C30 = C15×SD16φ: C30/C15C2 ⊆ Out D41202D4.C30240,87

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