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Extensions 1→N→G→Q→1 with N=C4 and Q=C22×D15

Direct product G=N×Q with N=C4 and Q=C22×D15
dρLabelID
C22×C4×D15240C2^2xC4xD15480,1166

Semidirect products G=N:Q with N=C4 and Q=C22×D15
extensionφ:Q→Aut NdρLabelID
C4⋊1(C22×D15) = C2×D4×D15φ: C22×D15/D30 → C2 ⊆ Aut C4120C4:1(C2^2xD15)480,1169
C4⋊2(C22×D15) = C22×D60φ: C22×D15/C2×C30 → C2 ⊆ Aut C4240C4:2(C2^2xD15)480,1167

Non-split extensions G=N.Q with N=C4 and Q=C22×D15
extensionφ:Q→Aut NdρLabelID
C4.1(C22×D15) = D8×D15φ: C22×D15/D30 → C2 ⊆ Aut C41204+C4.1(C2^2xD15)480,875
C4.2(C22×D15) = D8⋊D15φ: C22×D15/D30 → C2 ⊆ Aut C41204C4.2(C2^2xD15)480,876
C4.3(C22×D15) = D8⋊3D15φ: C22×D15/D30 → C2 ⊆ Aut C42404-C4.3(C2^2xD15)480,877
C4.4(C22×D15) = SD16×D15φ: C22×D15/D30 → C2 ⊆ Aut C41204C4.4(C2^2xD15)480,878
C4.5(C22×D15) = Q8⋊3D30φ: C22×D15/D30 → C2 ⊆ Aut C41204+C4.5(C2^2xD15)480,879
C4.6(C22×D15) = SD16⋊D15φ: C22×D15/D30 → C2 ⊆ Aut C42404-C4.6(C2^2xD15)480,880
C4.7(C22×D15) = D4.5D30φ: C22×D15/D30 → C2 ⊆ Aut C42404C4.7(C2^2xD15)480,881
C4.8(C22×D15) = Q16×D15φ: C22×D15/D30 → C2 ⊆ Aut C42404-C4.8(C2^2xD15)480,882
C4.9(C22×D15) = Q16⋊D15φ: C22×D15/D30 → C2 ⊆ Aut C42404C4.9(C2^2xD15)480,883
C4.10(C22×D15) = D120⋊8C2φ: C22×D15/D30 → C2 ⊆ Aut C42404+C4.10(C2^2xD15)480,884
C4.11(C22×D15) = C2×D4⋊D15φ: C22×D15/D30 → C2 ⊆ Aut C4240C4.11(C2^2xD15)480,896
C4.12(C22×D15) = D4.D30φ: C22×D15/D30 → C2 ⊆ Aut C41204C4.12(C2^2xD15)480,897
C4.13(C22×D15) = C2×D4.D15φ: C22×D15/D30 → C2 ⊆ Aut C4240C4.13(C2^2xD15)480,898
C4.14(C22×D15) = C2×Q8⋊2D15φ: C22×D15/D30 → C2 ⊆ Aut C4240C4.14(C2^2xD15)480,906
C4.15(C22×D15) = Q8.11D30φ: C22×D15/D30 → C2 ⊆ Aut C42404C4.15(C2^2xD15)480,907
C4.16(C22×D15) = C2×C15⋊7Q16φ: C22×D15/D30 → C2 ⊆ Aut C4480C4.16(C2^2xD15)480,908
C4.17(C22×D15) = D4⋊D30φ: C22×D15/D30 → C2 ⊆ Aut C41204+C4.17(C2^2xD15)480,914
C4.18(C22×D15) = D4.8D30φ: C22×D15/D30 → C2 ⊆ Aut C42404C4.18(C2^2xD15)480,915
C4.19(C22×D15) = D4.9D30φ: C22×D15/D30 → C2 ⊆ Aut C42404-C4.19(C2^2xD15)480,916
C4.20(C22×D15) = C2×D4⋊2D15φ: C22×D15/D30 → C2 ⊆ Aut C4240C4.20(C2^2xD15)480,1170
C4.21(C22×D15) = D4⋊6D30φ: C22×D15/D30 → C2 ⊆ Aut C41204C4.21(C2^2xD15)480,1171
C4.22(C22×D15) = C2×Q8×D15φ: C22×D15/D30 → C2 ⊆ Aut C4240C4.22(C2^2xD15)480,1172
C4.23(C22×D15) = C2×Q8⋊3D15φ: C22×D15/D30 → C2 ⊆ Aut C4240C4.23(C2^2xD15)480,1173
C4.24(C22×D15) = Q8.15D30φ: C22×D15/D30 → C2 ⊆ Aut C42404C4.24(C2^2xD15)480,1174
C4.25(C22×D15) = C2×C24⋊D5φ: C22×D15/C2×C30 → C2 ⊆ Aut C4240C4.25(C2^2xD15)480,867
C4.26(C22×D15) = C2×D120φ: C22×D15/C2×C30 → C2 ⊆ Aut C4240C4.26(C2^2xD15)480,868
C4.27(C22×D15) = C40.69D6φ: C22×D15/C2×C30 → C2 ⊆ Aut C42402C4.27(C2^2xD15)480,869
C4.28(C22×D15) = C2×Dic60φ: C22×D15/C2×C30 → C2 ⊆ Aut C4480C4.28(C2^2xD15)480,870
C4.29(C22×D15) = C8⋊D30φ: C22×D15/C2×C30 → C2 ⊆ Aut C41204+C4.29(C2^2xD15)480,873
C4.30(C22×D15) = C8.D30φ: C22×D15/C2×C30 → C2 ⊆ Aut C42404-C4.30(C2^2xD15)480,874
C4.31(C22×D15) = C22×Dic30φ: C22×D15/C2×C30 → C2 ⊆ Aut C4480C4.31(C2^2xD15)480,1165
C4.32(C22×D15) = D4⋊8D30φ: C22×D15/C2×C30 → C2 ⊆ Aut C41204+C4.32(C2^2xD15)480,1176
C4.33(C22×D15) = D4.10D30φ: C22×D15/C2×C30 → C2 ⊆ Aut C42404-C4.33(C2^2xD15)480,1177
C4.34(C22×D15) = C2×C8×D15central extension (φ=1)240C4.34(C2^2xD15)480,864
C4.35(C22×D15) = C2×C40⋊S3central extension (φ=1)240C4.35(C2^2xD15)480,865
C4.36(C22×D15) = D60.6C4central extension (φ=1)2402C4.36(C2^2xD15)480,866
C4.37(C22×D15) = M4(2)×D15central extension (φ=1)1204C4.37(C2^2xD15)480,871
C4.38(C22×D15) = D60.3C4central extension (φ=1)2404C4.38(C2^2xD15)480,872
C4.39(C22×D15) = C22×C15⋊3C8central extension (φ=1)480C4.39(C2^2xD15)480,885
C4.40(C22×D15) = C2×C60.7C4central extension (φ=1)240C4.40(C2^2xD15)480,886
C4.41(C22×D15) = D4.Dic15central extension (φ=1)2404C4.41(C2^2xD15)480,913
C4.42(C22×D15) = C2×D60⋊11C2central extension (φ=1)240C4.42(C2^2xD15)480,1168
C4.43(C22×D15) = C4○D4×D15central extension (φ=1)1204C4.43(C2^2xD15)480,1175

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