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Extensions 1→N→G→Q→1 with N=C4 and Q=C5⋊D12

Direct product G=N×Q with N=C4 and Q=C5⋊D12
dρLabelID
C4×C5⋊D12240C4xC5:D12480,521

Semidirect products G=N:Q with N=C4 and Q=C5⋊D12
extensionφ:Q→Aut NdρLabelID
C4⋊1(C5⋊D12) = C20⋊D12φ: C5⋊D12/C3×Dic5 → C2 ⊆ Aut C4240C4:1(C5:D12)480,527
C4⋊2(C5⋊D12) = C60⋊6D4φ: C5⋊D12/S3×C10 → C2 ⊆ Aut C4240C4:2(C5:D12)480,536
C4⋊3(C5⋊D12) = C20⋊2D12φ: C5⋊D12/D30 → C2 ⊆ Aut C4240C4:3(C5:D12)480,542

Non-split extensions G=N.Q with N=C4 and Q=C5⋊D12
extensionφ:Q→Aut NdρLabelID
C4.1(C5⋊D12) = C5⋊D48φ: C5⋊D12/C3×Dic5 → C2 ⊆ Aut C42404+C4.1(C5:D12)480,15
C4.2(C5⋊D12) = D24.D5φ: C5⋊D12/C3×Dic5 → C2 ⊆ Aut C42404-C4.2(C5:D12)480,20
C4.3(C5⋊D12) = Dic12⋊D5φ: C5⋊D12/C3×Dic5 → C2 ⊆ Aut C42404+C4.3(C5:D12)480,21
C4.4(C5⋊D12) = C5⋊Dic24φ: C5⋊D12/C3×Dic5 → C2 ⊆ Aut C44804-C4.4(C5:D12)480,24
C4.5(C5⋊D12) = C2×C5⋊D24φ: C5⋊D12/C3×Dic5 → C2 ⊆ Aut C4240C4.5(C5:D12)480,378
C4.6(C5⋊D12) = C2×D12.D5φ: C5⋊D12/C3×Dic5 → C2 ⊆ Aut C4240C4.6(C5:D12)480,392
C4.7(C5⋊D12) = C2×Dic6⋊D5φ: C5⋊D12/C3×Dic5 → C2 ⊆ Aut C4240C4.7(C5:D12)480,393
C4.8(C5⋊D12) = C2×C5⋊Dic12φ: C5⋊D12/C3×Dic5 → C2 ⊆ Aut C4480C4.8(C5:D12)480,396
C4.9(C5⋊D12) = C60.69D4φ: C5⋊D12/C3×Dic5 → C2 ⊆ Aut C4240C4.9(C5:D12)480,449
C4.10(C5⋊D12) = C60.70D4φ: C5⋊D12/C3×Dic5 → C2 ⊆ Aut C4240C4.10(C5:D12)480,451
C4.11(C5⋊D12) = Dic5⋊Dic6φ: C5⋊D12/C3×Dic5 → C2 ⊆ Aut C4480C4.11(C5:D12)480,452
C4.12(C5⋊D12) = C60.29D4φ: C5⋊D12/S3×C10 → C2 ⊆ Aut C41204+C4.12(C5:D12)480,36
C4.13(C5⋊D12) = C60.31D4φ: C5⋊D12/S3×C10 → C2 ⊆ Aut C42404-C4.13(C5:D12)480,39
C4.14(C5⋊D12) = D60⋊12C4φ: C5⋊D12/S3×C10 → C2 ⊆ Aut C4240C4.14(C5:D12)480,44
C4.15(C5⋊D12) = Dic30⋊12C4φ: C5⋊D12/S3×C10 → C2 ⊆ Aut C4480C4.15(C5:D12)480,50
C4.16(C5⋊D12) = C60.38D4φ: C5⋊D12/S3×C10 → C2 ⊆ Aut C41204+C4.16(C5:D12)480,381
C4.17(C5⋊D12) = D12.33D10φ: C5⋊D12/S3×C10 → C2 ⊆ Aut C42404-C4.17(C5:D12)480,398
C4.18(C5⋊D12) = C60.45D4φ: C5⋊D12/S3×C10 → C2 ⊆ Aut C4240C4.18(C5:D12)480,441
C4.19(C5⋊D12) = C20.5D12φ: C5⋊D12/D30 → C2 ⊆ Aut C41204C4.19(C5:D12)480,35
C4.20(C5⋊D12) = C60.54D4φ: C5⋊D12/D30 → C2 ⊆ Aut C42404C4.20(C5:D12)480,38
C4.21(C5⋊D12) = D12⋊Dic5φ: C5⋊D12/D30 → C2 ⊆ Aut C4240C4.21(C5:D12)480,42
C4.22(C5⋊D12) = Dic6⋊Dic5φ: C5⋊D12/D30 → C2 ⊆ Aut C4480C4.22(C5:D12)480,48
C4.23(C5⋊D12) = D60⋊36C22φ: C5⋊D12/D30 → C2 ⊆ Aut C41204C4.23(C5:D12)480,380
C4.24(C5⋊D12) = C20.D12φ: C5⋊D12/D30 → C2 ⊆ Aut C42404C4.24(C5:D12)480,397
C4.25(C5⋊D12) = D30⋊9Q8φ: C5⋊D12/D30 → C2 ⊆ Aut C4240C4.25(C5:D12)480,459
C4.26(C5⋊D12) = C60.94D4central extension (φ=1)240C4.26(C5:D12)480,32
C4.27(C5⋊D12) = D30⋊4C8central extension (φ=1)240C4.27(C5:D12)480,33
C4.28(C5⋊D12) = C60.99D4central extension (φ=1)1204C4.28(C5:D12)480,55
C4.29(C5⋊D12) = D60⋊16C4central extension (φ=1)1204C4.29(C5:D12)480,57
C4.30(C5⋊D12) = C60.13Q8central extension (φ=1)480C4.30(C5:D12)480,58
C4.31(C5⋊D12) = C60.105D4central extension (φ=1)2404C4.31(C5:D12)480,67
C4.32(C5⋊D12) = C20.60D12central extension (φ=1)2404C4.32(C5:D12)480,379

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