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Extensions 1→N→G→Q→1 with N=C4 and Q=D30.C2

Direct product G=N×Q with N=C4 and Q=D30.C2
dρLabelID
C4×D30.C2240C4xD30.C2480,477

Semidirect products G=N:Q with N=C4 and Q=D30.C2
extensionφ:Q→Aut NdρLabelID
C4⋊1(D30.C2) = D60⋊14C4φ: D30.C2/C5×Dic3 → C2 ⊆ Aut C4240C4:1(D30.C2)480,504
C4⋊2(D30.C2) = D60⋊17C4φ: D30.C2/C3×Dic5 → C2 ⊆ Aut C4240C4:2(D30.C2)480,494
C4⋊3(D30.C2) = D30.2Q8φ: D30.C2/D30 → C2 ⊆ Aut C4240C4:3(D30.C2)480,513

Non-split extensions G=N.Q with N=C4 and Q=D30.C2
extensionφ:Q→Aut NdρLabelID
C4.1(D30.C2) = D60⋊12C4φ: D30.C2/C5×Dic3 → C2 ⊆ Aut C4240C4.1(D30.C2)480,44
C4.2(D30.C2) = Dic30⋊12C4φ: D30.C2/C5×Dic3 → C2 ⊆ Aut C4480C4.2(D30.C2)480,50
C4.3(D30.C2) = D60⋊13C4φ: D30.C2/C5×Dic3 → C2 ⊆ Aut C41204C4.3(D30.C2)480,56
C4.4(D30.C2) = D60.4C4φ: D30.C2/C5×Dic3 → C2 ⊆ Aut C42404C4.4(D30.C2)480,367
C4.5(D30.C2) = Dic30⋊14C4φ: D30.C2/C5×Dic3 → C2 ⊆ Aut C4480C4.5(D30.C2)480,416
C4.6(D30.C2) = D60⋊15C4φ: D30.C2/C3×Dic5 → C2 ⊆ Aut C4240C4.6(D30.C2)480,45
C4.7(D30.C2) = Dic30⋊15C4φ: D30.C2/C3×Dic5 → C2 ⊆ Aut C4480C4.7(D30.C2)480,51
C4.8(D30.C2) = D60⋊16C4φ: D30.C2/C3×Dic5 → C2 ⊆ Aut C41204C4.8(D30.C2)480,57
C4.9(D30.C2) = D60.5C4φ: D30.C2/C3×Dic5 → C2 ⊆ Aut C42404C4.9(D30.C2)480,366
C4.10(D30.C2) = Dic30⋊17C4φ: D30.C2/C3×Dic5 → C2 ⊆ Aut C4480C4.10(D30.C2)480,409
C4.11(D30.C2) = C30.SD16φ: D30.C2/D30 → C2 ⊆ Aut C4480C4.11(D30.C2)480,62
C4.12(D30.C2) = C30.20D8φ: D30.C2/D30 → C2 ⊆ Aut C4480C4.12(D30.C2)480,65
C4.13(D30.C2) = C60.D4φ: D30.C2/D30 → C2 ⊆ Aut C42404C4.13(D30.C2)480,68
C4.14(D30.C2) = D15⋊4M4(2)φ: D30.C2/D30 → C2 ⊆ Aut C41204C4.14(D30.C2)480,368
C4.15(D30.C2) = (C4×D15)⋊8C4φ: D30.C2/D30 → C2 ⊆ Aut C4240C4.15(D30.C2)480,423
C4.16(D30.C2) = D15⋊2C16central extension (φ=1)2404C4.16(D30.C2)480,9
C4.17(D30.C2) = D30.5C8central extension (φ=1)2404C4.17(D30.C2)480,12
C4.18(D30.C2) = Dic5×C3⋊C8central extension (φ=1)480C4.18(D30.C2)480,25
C4.19(D30.C2) = Dic3×C5⋊2C8central extension (φ=1)480C4.19(D30.C2)480,26
C4.20(D30.C2) = C30.21C42central extension (φ=1)480C4.20(D30.C2)480,28
C4.21(D30.C2) = C30.22C42central extension (φ=1)480C4.21(D30.C2)480,29
C4.22(D30.C2) = C2×D15⋊2C8central extension (φ=1)240C4.22(D30.C2)480,365
C4.23(D30.C2) = C2×D30.5C4central extension (φ=1)240C4.23(D30.C2)480,371
C4.24(D30.C2) = (C4×D15)⋊10C4central extension (φ=1)240C4.24(D30.C2)480,462

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