Extensions 1→N→G→Q→1 with N=C8 and Q=C60

Direct product G=N×Q with N=C8 and Q=C60
dρLabelID
C4×C120480C4xC120480,199

Semidirect products G=N:Q with N=C8 and Q=C60
extensionφ:Q→Aut NdρLabelID
C81C60 = C15×C2.D8φ: C60/C30C2 ⊆ Aut C8480C8:1C60480,210
C82C60 = C15×C4.Q8φ: C60/C30C2 ⊆ Aut C8480C8:2C60480,209
C83C60 = C15×C8⋊C4φ: C60/C30C2 ⊆ Aut C8480C8:3C60480,200

Non-split extensions G=N.Q with N=C8 and Q=C60
extensionφ:Q→Aut NdρLabelID
C8.1C60 = C15×C8.C4φ: C60/C30C2 ⊆ Aut C82402C8.1C60480,211
C8.2C60 = C15×M5(2)φ: C60/C30C2 ⊆ Aut C82402C8.2C60480,213

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