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Extensions 1→N→G→Q→1 with N=C4:C4 and Q=C30

Direct product G=NxQ with N=C4:C4 and Q=C30
dρLabelID
C4:C4xC30480C4:C4xC30480,921

Semidirect products G=N:Q with N=C4:C4 and Q=C30
extensionφ:Q→Out NdρLabelID
C4:C4:1C30 = C15xD4:C4φ: C30/C15 → C2 ⊆ Out C4:C4240C4:C4:1C30480,205
C4:C4:2C30 = C15xC4:D4φ: C30/C15 → C2 ⊆ Out C4:C4240C4:C4:2C30480,926
C4:C4:3C30 = C15xC22:Q8φ: C30/C15 → C2 ⊆ Out C4:C4240C4:C4:3C30480,927
C4:C4:4C30 = C15xC22.D4φ: C30/C15 → C2 ⊆ Out C4:C4240C4:C4:4C30480,928
C4:C4:5C30 = C15xC42:2C2φ: C30/C15 → C2 ⊆ Out C4:C4240C4:C4:5C30480,931
C4:C4:6C30 = C15xC42:C2φ: trivial image240C4:C4:6C30480,922
C4:C4:7C30 = D4xC60φ: trivial image240C4:C4:7C30480,923

Non-split extensions G=N.Q with N=C4:C4 and Q=C30
extensionφ:Q→Out NdρLabelID
C4:C4.1C30 = C15xQ8:C4φ: C30/C15 → C2 ⊆ Out C4:C4480C4:C4.1C30480,206
C4:C4.2C30 = C15xC4.Q8φ: C30/C15 → C2 ⊆ Out C4:C4480C4:C4.2C30480,209
C4:C4.3C30 = C15xC2.D8φ: C30/C15 → C2 ⊆ Out C4:C4480C4:C4.3C30480,210
C4:C4.4C30 = C15xC42.C2φ: C30/C15 → C2 ⊆ Out C4:C4480C4:C4.4C30480,930
C4:C4.5C30 = C15xC4:Q8φ: C30/C15 → C2 ⊆ Out C4:C4480C4:C4.5C30480,933
C4:C4.6C30 = Q8xC60φ: trivial image480C4:C4.6C30480,924

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