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Extensions 1→N→G→Q→1 with N=C4 and Q=D5×C12

Direct product G=N×Q with N=C4 and Q=D5×C12
dρLabelID
D5×C4×C12240D5xC4xC12480,664

Semidirect products G=N:Q with N=C4 and Q=D5×C12
extensionφ:Q→Aut NdρLabelID
C4⋊1(D5×C12) = C3×D20⋊8C4φ: D5×C12/C3×Dic5 → C2 ⊆ Aut C4240C4:1(D5xC12)480,686
C4⋊2(D5×C12) = C12×D20φ: D5×C12/C60 → C2 ⊆ Aut C4240C4:2(D5xC12)480,666
C4⋊3(D5×C12) = C3×D5×C4⋊C4φ: D5×C12/C6×D5 → C2 ⊆ Aut C4240C4:3(D5xC12)480,684

Non-split extensions G=N.Q with N=C4 and Q=D5×C12
extensionφ:Q→Aut NdρLabelID
C4.1(D5×C12) = C3×D20⋊6C4φ: D5×C12/C3×Dic5 → C2 ⊆ Aut C4240C4.1(D5xC12)480,87
C4.2(D5×C12) = C3×C10.Q16φ: D5×C12/C3×Dic5 → C2 ⊆ Aut C4480C4.2(D5xC12)480,88
C4.3(D5×C12) = C3×D20⋊7C4φ: D5×C12/C3×Dic5 → C2 ⊆ Aut C41204C4.3(D5xC12)480,103
C4.4(D5×C12) = C3×Dic5⋊3Q8φ: D5×C12/C3×Dic5 → C2 ⊆ Aut C4480C4.4(D5xC12)480,680
C4.5(D5×C12) = C3×D20.2C4φ: D5×C12/C3×Dic5 → C2 ⊆ Aut C42404C4.5(D5xC12)480,700
C4.6(D5×C12) = C3×D20⋊4C4φ: D5×C12/C60 → C2 ⊆ Aut C41202C4.6(D5xC12)480,83
C4.7(D5×C12) = C3×C20.44D4φ: D5×C12/C60 → C2 ⊆ Aut C4480C4.7(D5xC12)480,94
C4.8(D5×C12) = C3×D20⋊5C4φ: D5×C12/C60 → C2 ⊆ Aut C4240C4.8(D5xC12)480,99
C4.9(D5×C12) = C12×Dic10φ: D5×C12/C60 → C2 ⊆ Aut C4480C4.9(D5xC12)480,661
C4.10(D5×C12) = C3×D20.3C4φ: D5×C12/C60 → C2 ⊆ Aut C42402C4.10(D5xC12)480,694
C4.11(D5×C12) = C3×C10.D8φ: D5×C12/C6×D5 → C2 ⊆ Aut C4480C4.11(D5xC12)480,85
C4.12(D5×C12) = C3×C20.Q8φ: D5×C12/C6×D5 → C2 ⊆ Aut C4480C4.12(D5xC12)480,86
C4.13(D5×C12) = C3×C20.53D4φ: D5×C12/C6×D5 → C2 ⊆ Aut C42404C4.13(D5xC12)480,100
C4.14(D5×C12) = C3×C4⋊C4⋊7D5φ: D5×C12/C6×D5 → C2 ⊆ Aut C4240C4.14(D5xC12)480,685
C4.15(D5×C12) = C3×D5×M4(2)φ: D5×C12/C6×D5 → C2 ⊆ Aut C41204C4.15(D5xC12)480,699
C4.16(D5×C12) = D5×C48central extension (φ=1)2402C4.16(D5xC12)480,75
C4.17(D5×C12) = C3×C80⋊C2central extension (φ=1)2402C4.17(D5xC12)480,76
C4.18(D5×C12) = C12×C5⋊2C8central extension (φ=1)480C4.18(D5xC12)480,80
C4.19(D5×C12) = C3×C42.D5central extension (φ=1)480C4.19(D5xC12)480,81
C4.20(D5×C12) = Dic5×C24central extension (φ=1)480C4.20(D5xC12)480,91
C4.21(D5×C12) = C3×C40⋊8C4central extension (φ=1)480C4.21(D5xC12)480,93
C4.22(D5×C12) = C3×C42⋊D5central extension (φ=1)240C4.22(D5xC12)480,665
C4.23(D5×C12) = D5×C2×C24central extension (φ=1)240C4.23(D5xC12)480,692
C4.24(D5×C12) = C6×C8⋊D5central extension (φ=1)240C4.24(D5xC12)480,693

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