Extensions 1→N→G→Q→1 with N=D30 and Q=C2

Direct product G=N×Q with N=D30 and Q=C2
dρLabelID
C22×D1560C2^2xD15120,46

Semidirect products G=N:Q with N=D30 and Q=C2
extensionφ:Q→Out NdρLabelID
D301C2 = D60φ: C2/C1C2 ⊆ Out D30602+D30:1C2120,28
D302C2 = C157D4φ: C2/C1C2 ⊆ Out D30602D30:2C2120,30
D303C2 = C3⋊D20φ: C2/C1C2 ⊆ Out D30604+D30:3C2120,12
D304C2 = C5⋊D12φ: C2/C1C2 ⊆ Out D30604+D30:4C2120,13
D305C2 = C2×S3×D5φ: C2/C1C2 ⊆ Out D30304+D30:5C2120,42

Non-split extensions G=N.Q with N=D30 and Q=C2
extensionφ:Q→Out NdρLabelID
D30.C2 = D30.C2φ: C2/C1C2 ⊆ Out D30604+D30.C2120,10
D30.2C2 = C4×D15φ: trivial image602D30.2C2120,27

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