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Extensions 1→N→G→Q→1 with N=C6 and Q=C5:Q16

Direct product G=NxQ with N=C6 and Q=C5:Q16
dρLabelID
C6xC5:Q16480C6xC5:Q16480,736

Semidirect products G=N:Q with N=C6 and Q=C5:Q16
extensionφ:Q→Aut NdρLabelID
C6:1(C5:Q16) = C2xC5:Dic12φ: C5:Q16/C5:2C8 → C2 ⊆ Aut C6480C6:1(C5:Q16)480,396
C6:2(C5:Q16) = C2xC15:Q16φ: C5:Q16/Dic10 → C2 ⊆ Aut C6480C6:2(C5:Q16)480,394
C6:3(C5:Q16) = C2xC15:7Q16φ: C5:Q16/C5xQ8 → C2 ⊆ Aut C6480C6:3(C5:Q16)480,908

Non-split extensions G=N.Q with N=C6 and Q=C5:Q16
extensionφ:Q→Aut NdρLabelID
C6.1(C5:Q16) = C10.Dic12φ: C5:Q16/C5:2C8 → C2 ⊆ Aut C6480C6.1(C5:Q16)480,49
C6.2(C5:Q16) = Dic30:15C4φ: C5:Q16/C5:2C8 → C2 ⊆ Aut C6480C6.2(C5:Q16)480,51
C6.3(C5:Q16) = C60.8Q8φ: C5:Q16/C5:2C8 → C2 ⊆ Aut C6480C6.3(C5:Q16)480,64
C6.4(C5:Q16) = C30.Q16φ: C5:Q16/Dic10 → C2 ⊆ Aut C6480C6.4(C5:Q16)480,46
C6.5(C5:Q16) = Dic6:Dic5φ: C5:Q16/Dic10 → C2 ⊆ Aut C6480C6.5(C5:Q16)480,48
C6.6(C5:Q16) = C30.20D8φ: C5:Q16/Dic10 → C2 ⊆ Aut C6480C6.6(C5:Q16)480,65
C6.7(C5:Q16) = C60.1Q8φ: C5:Q16/C5xQ8 → C2 ⊆ Aut C6480C6.7(C5:Q16)480,167
C6.8(C5:Q16) = Dic30:9C4φ: C5:Q16/C5xQ8 → C2 ⊆ Aut C6480C6.8(C5:Q16)480,170
C6.9(C5:Q16) = Q8:2Dic15φ: C5:Q16/C5xQ8 → C2 ⊆ Aut C6480C6.9(C5:Q16)480,195
C6.10(C5:Q16) = C3xC10.D8central extension (φ=1)480C6.10(C5:Q16)480,85
C6.11(C5:Q16) = C3xC10.Q16central extension (φ=1)480C6.11(C5:Q16)480,88
C6.12(C5:Q16) = C3xQ8:Dic5central extension (φ=1)480C6.12(C5:Q16)480,113

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