Extensions 1→N→G→Q→1 with N=C4 and Q=C2×D8

Direct product G=N×Q with N=C4 and Q=C2×D8
dρLabelID
C2×C4×D864C2xC4xD8128,1668

Semidirect products G=N:Q with N=C4 and Q=C2×D8
extensionφ:Q→Aut NdρLabelID
C41(C2×D8) = C2×C84D4φ: C2×D8/C2×C8C2 ⊆ Aut C464C4:1(C2xD8)128,1876
C42(C2×D8) = D4×D8φ: C2×D8/D8C2 ⊆ Aut C432C4:2(C2xD8)128,2011
C43(C2×D8) = C2×C4⋊D8φ: C2×D8/C2×D4C2 ⊆ Aut C464C4:3(C2xD8)128,1761

Non-split extensions G=N.Q with N=C4 and Q=C2×D8
extensionφ:Q→Aut NdρLabelID
C4.1(C2×D8) = C85D8φ: C2×D8/C2×C8C2 ⊆ Aut C464C4.1(C2xD8)128,438
C4.2(C2×D8) = C825C2φ: C2×D8/C2×C8C2 ⊆ Aut C464C4.2(C2xD8)128,441
C4.3(C2×D8) = C84D8φ: C2×D8/C2×C8C2 ⊆ Aut C464C4.3(C2xD8)128,444
C4.4(C2×D8) = C84Q16φ: C2×D8/C2×C8C2 ⊆ Aut C4128C4.4(C2xD8)128,445
C4.5(C2×D8) = C83D8φ: C2×D8/C2×C8C2 ⊆ Aut C464C4.5(C2xD8)128,453
C4.6(C2×D8) = C8.2D8φ: C2×D8/C2×C8C2 ⊆ Aut C464C4.6(C2xD8)128,454
C4.7(C2×D8) = C4⋊D16φ: C2×D8/C2×C8C2 ⊆ Aut C464C4.7(C2xD8)128,978
C4.8(C2×D8) = C4⋊Q32φ: C2×D8/C2×C8C2 ⊆ Aut C4128C4.8(C2xD8)128,979
C4.9(C2×D8) = C165D4φ: C2×D8/C2×C8C2 ⊆ Aut C464C4.9(C2xD8)128,980
C4.10(C2×D8) = C8.21D8φ: C2×D8/C2×C8C2 ⊆ Aut C464C4.10(C2xD8)128,981
C4.11(C2×D8) = C163D4φ: C2×D8/C2×C8C2 ⊆ Aut C464C4.11(C2xD8)128,982
C4.12(C2×D8) = C8.7D8φ: C2×D8/C2×C8C2 ⊆ Aut C464C4.12(C2xD8)128,983
C4.13(C2×D8) = C2×D32φ: C2×D8/C2×C8C2 ⊆ Aut C464C4.13(C2xD8)128,991
C4.14(C2×D8) = C2×SD64φ: C2×D8/C2×C8C2 ⊆ Aut C464C4.14(C2xD8)128,992
C4.15(C2×D8) = C2×Q64φ: C2×D8/C2×C8C2 ⊆ Aut C4128C4.15(C2xD8)128,993
C4.16(C2×D8) = C4○D32φ: C2×D8/C2×C8C2 ⊆ Aut C4642C4.16(C2xD8)128,994
C4.17(C2×D8) = C32⋊C22φ: C2×D8/C2×C8C2 ⊆ Aut C4324+C4.17(C2xD8)128,995
C4.18(C2×D8) = Q64⋊C2φ: C2×D8/C2×C8C2 ⊆ Aut C4644-C4.18(C2xD8)128,996
C4.19(C2×D8) = C2×C4.4D8φ: C2×D8/C2×C8C2 ⊆ Aut C464C4.19(C2xD8)128,1860
C4.20(C2×D8) = C2×C82Q8φ: C2×D8/C2×C8C2 ⊆ Aut C4128C4.20(C2xD8)128,1891
C4.21(C2×D8) = C22×D16φ: C2×D8/C2×C8C2 ⊆ Aut C464C4.21(C2xD8)128,2140
C4.22(C2×D8) = C22×SD32φ: C2×D8/C2×C8C2 ⊆ Aut C464C4.22(C2xD8)128,2141
C4.23(C2×D8) = C22×Q32φ: C2×D8/C2×C8C2 ⊆ Aut C4128C4.23(C2xD8)128,2142
C4.24(C2×D8) = D4⋊D8φ: C2×D8/D8C2 ⊆ Aut C432C4.24(C2xD8)128,351
C4.25(C2×D8) = Q8⋊D8φ: C2×D8/D8C2 ⊆ Aut C464C4.25(C2xD8)128,353
C4.26(C2×D8) = D43D8φ: C2×D8/D8C2 ⊆ Aut C464C4.26(C2xD8)128,357
C4.27(C2×D8) = Q83D8φ: C2×D8/D8C2 ⊆ Aut C464C4.27(C2xD8)128,359
C4.28(C2×D8) = D4.D8φ: C2×D8/D8C2 ⊆ Aut C432C4.28(C2xD8)128,371
C4.29(C2×D8) = Q8.D8φ: C2×D8/D8C2 ⊆ Aut C464C4.29(C2xD8)128,373
C4.30(C2×D8) = D4.7D8φ: C2×D8/D8C2 ⊆ Aut C464C4.30(C2xD8)128,379
C4.31(C2×D8) = D44Q16φ: C2×D8/D8C2 ⊆ Aut C464C4.31(C2xD8)128,381
C4.32(C2×D8) = C813SD16φ: C2×D8/D8C2 ⊆ Aut C464C4.32(C2xD8)128,400
C4.33(C2×D8) = C810SD16φ: C2×D8/D8C2 ⊆ Aut C464C4.33(C2xD8)128,405
C4.34(C2×D8) = C87Q16φ: C2×D8/D8C2 ⊆ Aut C4128C4.34(C2xD8)128,406
C4.35(C2×D8) = D4.2D8φ: C2×D8/D8C2 ⊆ Aut C464C4.35(C2xD8)128,413
C4.36(C2×D8) = Q8.2D8φ: C2×D8/D8C2 ⊆ Aut C464C4.36(C2xD8)128,414
C4.37(C2×D8) = Q16.10D4φ: C2×D8/D8C2 ⊆ Aut C4324+C4.37(C2xD8)128,924
C4.38(C2×D8) = Q16.D4φ: C2×D8/D8C2 ⊆ Aut C4324C4.38(C2xD8)128,925
C4.39(C2×D8) = D8.3D4φ: C2×D8/D8C2 ⊆ Aut C4324C4.39(C2xD8)128,926
C4.40(C2×D8) = D8.12D4φ: C2×D8/D8C2 ⊆ Aut C4644-C4.40(C2xD8)128,927
C4.41(C2×D8) = D4.3D8φ: C2×D8/D8C2 ⊆ Aut C4324+C4.41(C2xD8)128,953
C4.42(C2×D8) = D4.4D8φ: C2×D8/D8C2 ⊆ Aut C4644-C4.42(C2xD8)128,954
C4.43(C2×D8) = D4.5D8φ: C2×D8/D8C2 ⊆ Aut C4324C4.43(C2xD8)128,955
C4.44(C2×D8) = D44D8φ: C2×D8/D8C2 ⊆ Aut C432C4.44(C2xD8)128,2026
C4.45(C2×D8) = D45D8φ: C2×D8/D8C2 ⊆ Aut C464C4.45(C2xD8)128,2066
C4.46(C2×D8) = Q84D8φ: C2×D8/D8C2 ⊆ Aut C464C4.46(C2xD8)128,2090
C4.47(C2×D8) = Q8×D8φ: C2×D8/D8C2 ⊆ Aut C464C4.47(C2xD8)128,2110
C4.48(C2×D8) = Q85D8φ: C2×D8/D8C2 ⊆ Aut C464C4.48(C2xD8)128,2123
C4.49(C2×D8) = D4○D16φ: C2×D8/D8C2 ⊆ Aut C4324+C4.49(C2xD8)128,2147
C4.50(C2×D8) = D4○SD32φ: C2×D8/D8C2 ⊆ Aut C4324C4.50(C2xD8)128,2148
C4.51(C2×D8) = Q8○D16φ: C2×D8/D8C2 ⊆ Aut C4644-C4.51(C2xD8)128,2149
C4.52(C2×D8) = C2×C4.D8φ: C2×D8/C2×D4C2 ⊆ Aut C464C4.52(C2xD8)128,270
C4.53(C2×D8) = C2×C4.10D8φ: C2×D8/C2×D4C2 ⊆ Aut C4128C4.53(C2xD8)128,271
C4.54(C2×D8) = C42.409D4φ: C2×D8/C2×D4C2 ⊆ Aut C464C4.54(C2xD8)128,272
C4.55(C2×D8) = C42.413D4φ: C2×D8/C2×D4C2 ⊆ Aut C432C4.55(C2xD8)128,277
C4.56(C2×D8) = C42.414D4φ: C2×D8/C2×D4C2 ⊆ Aut C464C4.56(C2xD8)128,278
C4.57(C2×D8) = C42.78D4φ: C2×D8/C2×D4C2 ⊆ Aut C464C4.57(C2xD8)128,279
C4.58(C2×D8) = C88D8φ: C2×D8/C2×D4C2 ⊆ Aut C464C4.58(C2xD8)128,397
C4.59(C2×D8) = C87D8φ: C2×D8/C2×D4C2 ⊆ Aut C464C4.59(C2xD8)128,399
C4.60(C2×D8) = C8.28D8φ: C2×D8/C2×D4C2 ⊆ Aut C464C4.60(C2xD8)128,401
C4.61(C2×D8) = C8⋊D8φ: C2×D8/C2×D4C2 ⊆ Aut C464C4.61(C2xD8)128,417
C4.62(C2×D8) = C82D8φ: C2×D8/C2×D4C2 ⊆ Aut C464C4.62(C2xD8)128,419
C4.63(C2×D8) = C8.D8φ: C2×D8/C2×D4C2 ⊆ Aut C464C4.63(C2xD8)128,421
C4.64(C2×D8) = C2×M5(2)⋊C2φ: C2×D8/C2×D4C2 ⊆ Aut C432C4.64(C2xD8)128,878
C4.65(C2×D8) = C2×C8.17D4φ: C2×D8/C2×D4C2 ⊆ Aut C464C4.65(C2xD8)128,879
C4.66(C2×D8) = C23.21SD16φ: C2×D8/C2×D4C2 ⊆ Aut C4324C4.66(C2xD8)128,880
C4.67(C2×D8) = C8.3D8φ: C2×D8/C2×D4C2 ⊆ Aut C4324C4.67(C2xD8)128,944
C4.68(C2×D8) = D83D4φ: C2×D8/C2×D4C2 ⊆ Aut C4164+C4.68(C2xD8)128,945
C4.69(C2×D8) = C8.5D8φ: C2×D8/C2×D4C2 ⊆ Aut C4324-C4.69(C2xD8)128,946
C4.70(C2×D8) = C2×D4⋊Q8φ: C2×D8/C2×D4C2 ⊆ Aut C464C4.70(C2xD8)128,1802
C4.71(C2×D8) = C42.221D4φ: C2×D8/C2×D4C2 ⊆ Aut C432C4.71(C2xD8)128,1832
C4.72(C2×D8) = C42.263D4φ: C2×D8/C2×D4C2 ⊆ Aut C432C4.72(C2xD8)128,1937
C4.73(C2×D8) = C42.278D4φ: C2×D8/C2×D4C2 ⊆ Aut C464C4.73(C2xD8)128,1958
C4.74(C2×D8) = C42.293D4φ: C2×D8/C2×D4C2 ⊆ Aut C464C4.74(C2xD8)128,1977
C4.75(C2×D8) = C2×C16⋊C22φ: C2×D8/C2×D4C2 ⊆ Aut C432C4.75(C2xD8)128,2144
C4.76(C2×D8) = C2×Q32⋊C2φ: C2×D8/C2×D4C2 ⊆ Aut C464C4.76(C2xD8)128,2145
C4.77(C2×D8) = D16⋊C22φ: C2×D8/C2×D4C2 ⊆ Aut C4324C4.77(C2xD8)128,2146
C4.78(C2×D8) = C2×D4⋊C8central extension (φ=1)64C4.78(C2xD8)128,206
C4.79(C2×D8) = C42.45D4central extension (φ=1)64C4.79(C2xD8)128,212
C4.80(C2×D8) = D4⋊M4(2)central extension (φ=1)32C4.80(C2xD8)128,218
C4.81(C2×D8) = C42.315D4central extension (φ=1)64C4.81(C2xD8)128,224
C4.82(C2×D8) = C2×C81C8central extension (φ=1)128C4.82(C2xD8)128,295
C4.83(C2×D8) = C87M4(2)central extension (φ=1)64C4.83(C2xD8)128,299
C4.84(C2×D8) = C42.91D4central extension (φ=1)64C4.84(C2xD8)128,303
C4.85(C2×D8) = C8×D8central extension (φ=1)64C4.85(C2xD8)128,307
C4.86(C2×D8) = C89D8central extension (φ=1)64C4.86(C2xD8)128,313
C4.87(C2×D8) = C86D8central extension (φ=1)64C4.87(C2xD8)128,321
C4.88(C2×D8) = C2×D8.C4central extension (φ=1)64C4.88(C2xD8)128,874
C4.89(C2×D8) = C23.20SD16central extension (φ=1)324C4.89(C2xD8)128,875
C4.90(C2×D8) = C2×C8.4Q8central extension (φ=1)64C4.90(C2xD8)128,892
C4.91(C2×D8) = M5(2).1C4central extension (φ=1)324C4.91(C2xD8)128,893
C4.92(C2×D8) = C8○D16central extension (φ=1)322C4.92(C2xD8)128,910
C4.93(C2×D8) = D165C4central extension (φ=1)324C4.93(C2xD8)128,911
C4.94(C2×D8) = C42.366D4central extension (φ=1)64C4.94(C2xD8)128,1901
C4.95(C2×D8) = C2×C4○D16central extension (φ=1)64C4.95(C2xD8)128,2143

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