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Extensions 1→N→G→Q→1 with N=C40 and Q=C12

Direct product G=N×Q with N=C40 and Q=C12
dρLabelID
C4×C120480C4xC120480,199

Semidirect products G=N:Q with N=C40 and Q=C12
extensionφ:Q→Aut NdρLabelID
C40⋊1C12 = C3×D5.D8φ: C12/C3 → C4 ⊆ Aut C401204C40:1C12480,274
C40⋊2C12 = C3×C40⋊C4φ: C12/C3 → C4 ⊆ Aut C401204C40:2C12480,273
C40⋊3C12 = F5×C24φ: C12/C3 → C4 ⊆ Aut C401204C40:3C12480,271
C40⋊4C12 = C3×C8⋊F5φ: C12/C3 → C4 ⊆ Aut C401204C40:4C12480,272
C40⋊5C12 = C3×C40⋊5C4φ: C12/C6 → C2 ⊆ Aut C40480C40:5C12480,96
C40⋊6C12 = C3×C40⋊6C4φ: C12/C6 → C2 ⊆ Aut C40480C40:6C12480,95
C40⋊7C12 = Dic5×C24φ: C12/C6 → C2 ⊆ Aut C40480C40:7C12480,91
C40⋊8C12 = C3×C40⋊8C4φ: C12/C6 → C2 ⊆ Aut C40480C40:8C12480,93
C40⋊9C12 = C15×C2.D8φ: C12/C6 → C2 ⊆ Aut C40480C40:9C12480,210
C40⋊10C12 = C15×C4.Q8φ: C12/C6 → C2 ⊆ Aut C40480C40:10C12480,209
C40⋊11C12 = C15×C8⋊C4φ: C12/C6 → C2 ⊆ Aut C40480C40:11C12480,200

Non-split extensions G=N.Q with N=C40 and Q=C12
extensionφ:Q→Aut NdρLabelID
C40.1C12 = C3×D10.Q8φ: C12/C3 → C4 ⊆ Aut C402404C40.1C12480,276
C40.2C12 = C3×C40.C4φ: C12/C3 → C4 ⊆ Aut C402404C40.2C12480,275
C40.3C12 = C3×C5⋊C32φ: C12/C3 → C4 ⊆ Aut C404804C40.3C12480,5
C40.4C12 = C3×D5⋊C16φ: C12/C3 → C4 ⊆ Aut C402404C40.4C12480,269
C40.5C12 = C3×C8.F5φ: C12/C3 → C4 ⊆ Aut C402404C40.5C12480,270
C40.6C12 = C3×C40.6C4φ: C12/C6 → C2 ⊆ Aut C402402C40.6C12480,97
C40.7C12 = C3×C5⋊2C32φ: C12/C6 → C2 ⊆ Aut C404802C40.7C12480,2
C40.8C12 = C6×C5⋊2C16φ: C12/C6 → C2 ⊆ Aut C40480C40.8C12480,89
C40.9C12 = C3×C20.4C8φ: C12/C6 → C2 ⊆ Aut C402402C40.9C12480,90
C40.10C12 = C15×C8.C4φ: C12/C6 → C2 ⊆ Aut C402402C40.10C12480,211
C40.11C12 = C15×M5(2)φ: C12/C6 → C2 ⊆ Aut C402402C40.11C12480,213

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