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

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

Semidirect products G=N:Q with N=C60 and Q=C8
extensionφ:Q→Aut NdρLabelID
C60⋊1C8 = C60⋊C8φ: C8/C2 → C4 ⊆ Aut C60480C60:1C8480,306
C60⋊2C8 = C4×C15⋊C8φ: C8/C2 → C4 ⊆ Aut C60480C60:2C8480,305
C60⋊3C8 = C3×C20⋊C8φ: C8/C2 → C4 ⊆ Aut C60480C60:3C8480,281
C60⋊4C8 = C12×C5⋊C8φ: C8/C2 → C4 ⊆ Aut C60480C60:4C8480,280
C60⋊5C8 = C60⋊5C8φ: C8/C4 → C2 ⊆ Aut C60480C60:5C8480,164
C60⋊6C8 = C4×C15⋊3C8φ: C8/C4 → C2 ⊆ Aut C60480C60:6C8480,162
C60⋊7C8 = C3×C20⋊3C8φ: C8/C4 → C2 ⊆ Aut C60480C60:7C8480,82
C60⋊8C8 = C5×C12⋊C8φ: C8/C4 → C2 ⊆ Aut C60480C60:8C8480,123
C60⋊9C8 = C12×C5⋊2C8φ: C8/C4 → C2 ⊆ Aut C60480C60:9C8480,80
C60⋊10C8 = C20×C3⋊C8φ: C8/C4 → C2 ⊆ Aut C60480C60:10C8480,121
C60⋊11C8 = C15×C4⋊C8φ: C8/C4 → C2 ⊆ Aut C60480C60:11C8480,208

Non-split extensions G=N.Q with N=C60 and Q=C8
extensionφ:Q→Aut NdρLabelID
C60.1C8 = C60.C8φ: C8/C2 → C4 ⊆ Aut C602404C60.1C8480,303
C60.2C8 = C15⋊C32φ: C8/C2 → C4 ⊆ Aut C604804C60.2C8480,6
C60.3C8 = C2×C15⋊C16φ: C8/C2 → C4 ⊆ Aut C60480C60.3C8480,302
C60.4C8 = C3×C20.C8φ: C8/C2 → C4 ⊆ Aut C602404C60.4C8480,278
C60.5C8 = C3×C5⋊C32φ: C8/C2 → C4 ⊆ Aut C604804C60.5C8480,5
C60.6C8 = C6×C5⋊C16φ: C8/C2 → C4 ⊆ Aut C60480C60.6C8480,277
C60.7C8 = C60.7C8φ: C8/C4 → C2 ⊆ Aut C602402C60.7C8480,172
C60.8C8 = C15⋊3C32φ: C8/C4 → C2 ⊆ Aut C604802C60.8C8480,3
C60.9C8 = C2×C15⋊3C16φ: C8/C4 → C2 ⊆ Aut C60480C60.9C8480,171
C60.10C8 = C3×C20.4C8φ: C8/C4 → C2 ⊆ Aut C602402C60.10C8480,90
C60.11C8 = C5×C12.C8φ: C8/C4 → C2 ⊆ Aut C602402C60.11C8480,131
C60.12C8 = C3×C5⋊2C32φ: C8/C4 → C2 ⊆ Aut C604802C60.12C8480,2
C60.13C8 = C6×C5⋊2C16φ: C8/C4 → C2 ⊆ Aut C60480C60.13C8480,89
C60.14C8 = C5×C3⋊C32φ: C8/C4 → C2 ⊆ Aut C604802C60.14C8480,1
C60.15C8 = C10×C3⋊C16φ: C8/C4 → C2 ⊆ Aut C60480C60.15C8480,130
C60.16C8 = C15×M5(2)φ: C8/C4 → C2 ⊆ Aut C602402C60.16C8480,213

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