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Extensions 1→N→G→Q→1 with N=C6 and Q=C8:D5

Direct product G=NxQ with N=C6 and Q=C8:D5
dρLabelID
C6xC8:D5240C6xC8:D5480,693

Semidirect products G=N:Q with N=C6 and Q=C8:D5
extensionφ:Q→Aut NdρLabelID
C6:1(C8:D5) = C2xD30.5C4φ: C8:D5/C5:2C8 → C2 ⊆ Aut C6240C6:1(C8:D5)480,371
C6:2(C8:D5) = C2xC40:S3φ: C8:D5/C40 → C2 ⊆ Aut C6240C6:2(C8:D5)480,865
C6:3(C8:D5) = C2xC20.32D6φ: C8:D5/C4xD5 → C2 ⊆ Aut C6240C6:3(C8:D5)480,369

Non-split extensions G=N.Q with N=C6 and Q=C8:D5
extensionφ:Q→Aut NdρLabelID
C6.1(C8:D5) = C30.23C42φ: C8:D5/C5:2C8 → C2 ⊆ Aut C6480C6.1(C8:D5)480,30
C6.2(C8:D5) = D30:4C8φ: C8:D5/C5:2C8 → C2 ⊆ Aut C6240C6.2(C8:D5)480,33
C6.3(C8:D5) = C60.14Q8φ: C8:D5/C5:2C8 → C2 ⊆ Aut C6480C6.3(C8:D5)480,59
C6.4(C8:D5) = C60.26Q8φ: C8:D5/C40 → C2 ⊆ Aut C6480C6.4(C8:D5)480,174
C6.5(C8:D5) = C120:13C4φ: C8:D5/C40 → C2 ⊆ Aut C6480C6.5(C8:D5)480,175
C6.6(C8:D5) = D30:3C8φ: C8:D5/C40 → C2 ⊆ Aut C6240C6.6(C8:D5)480,180
C6.7(C8:D5) = C30.21C42φ: C8:D5/C4xD5 → C2 ⊆ Aut C6480C6.7(C8:D5)480,28
C6.8(C8:D5) = C60.93D4φ: C8:D5/C4xD5 → C2 ⊆ Aut C6240C6.8(C8:D5)480,31
C6.9(C8:D5) = C60.13Q8φ: C8:D5/C4xD5 → C2 ⊆ Aut C6480C6.9(C8:D5)480,58
C6.10(C8:D5) = C3xC20.8Q8central extension (φ=1)480C6.10(C8:D5)480,92
C6.11(C8:D5) = C3xC40:8C4central extension (φ=1)480C6.11(C8:D5)480,93
C6.12(C8:D5) = C3xD10:1C8central extension (φ=1)240C6.12(C8:D5)480,98

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