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Extensions 1→N→G→Q→1 with N=C4 and Q=C4○D8

Direct product G=N×Q with N=C4 and Q=C4○D8
dρLabelID
C4×C4○D864C4xC4oD8128,1671

Semidirect products G=N:Q with N=C4 and Q=C4○D8
extensionφ:Q→Aut NdρLabelID
C4⋊1(C4○D8) = C42.360D4φ: C4○D8/C2×C8 → C2 ⊆ Aut C464C4:1(C4oD8)128,1879
C4⋊2(C4○D8) = D8⋊13D4φ: C4○D8/D8 → C2 ⊆ Aut C464C4:2(C4oD8)128,2015
C4⋊3(C4○D8) = SD16⋊11D4φ: C4○D8/SD16 → C2 ⊆ Aut C464C4:3(C4oD8)128,2016
C4⋊4(C4○D8) = Q16⋊13D4φ: C4○D8/Q16 → C2 ⊆ Aut C464C4:4(C4oD8)128,2019
C4⋊5(C4○D8) = C42.443D4φ: C4○D8/C4○D4 → C2 ⊆ Aut C464C4:5(C4oD8)128,1767

Non-split extensions G=N.Q with N=C4 and Q=C4○D8
extensionφ:Q→Aut NdρLabelID
C4.1(C4○D8) = C8⋊5D8φ: C4○D8/C2×C8 → C2 ⊆ Aut C464C4.1(C4oD8)128,438
C4.2(C4○D8) = C8⋊5Q16φ: C4○D8/C2×C8 → C2 ⊆ Aut C4128C4.2(C4oD8)128,439
C4.3(C4○D8) = C82⋊12C2φ: C4○D8/C2×C8 → C2 ⊆ Aut C464C4.3(C4oD8)128,440
C4.4(C4○D8) = C82⋊5C2φ: C4○D8/C2×C8 → C2 ⊆ Aut C464C4.4(C4oD8)128,441
C4.5(C4○D8) = C8.7Q16φ: C4○D8/C2×C8 → C2 ⊆ Aut C4128C4.5(C4oD8)128,442
C4.6(C4○D8) = C82⋊3C2φ: C4○D8/C2×C8 → C2 ⊆ Aut C464C4.6(C4oD8)128,443
C4.7(C4○D8) = C42.664C23φ: C4○D8/C2×C8 → C2 ⊆ Aut C464C4.7(C4oD8)128,449
C4.8(C4○D8) = C42.665C23φ: C4○D8/C2×C8 → C2 ⊆ Aut C4128C4.8(C4oD8)128,450
C4.9(C4○D8) = C42.666C23φ: C4○D8/C2×C8 → C2 ⊆ Aut C464C4.9(C4oD8)128,451
C4.10(C4○D8) = C42.667C23φ: C4○D8/C2×C8 → C2 ⊆ Aut C464C4.10(C4oD8)128,452
C4.11(C4○D8) = C4×D16φ: C4○D8/C2×C8 → C2 ⊆ Aut C464C4.11(C4oD8)128,904
C4.12(C4○D8) = C4×SD32φ: C4○D8/C2×C8 → C2 ⊆ Aut C464C4.12(C4oD8)128,905
C4.13(C4○D8) = C4×Q32φ: C4○D8/C2×C8 → C2 ⊆ Aut C4128C4.13(C4oD8)128,906
C4.14(C4○D8) = SD32⋊3C4φ: C4○D8/C2×C8 → C2 ⊆ Aut C464C4.14(C4oD8)128,907
C4.15(C4○D8) = Q32⋊4C4φ: C4○D8/C2×C8 → C2 ⊆ Aut C4128C4.15(C4oD8)128,908
C4.16(C4○D8) = D16⋊4C4φ: C4○D8/C2×C8 → C2 ⊆ Aut C464C4.16(C4oD8)128,909
C4.17(C4○D8) = C16⋊7D4φ: C4○D8/C2×C8 → C2 ⊆ Aut C464C4.17(C4oD8)128,947
C4.18(C4○D8) = C16.19D4φ: C4○D8/C2×C8 → C2 ⊆ Aut C464C4.18(C4oD8)128,948
C4.19(C4○D8) = C16⋊8D4φ: C4○D8/C2×C8 → C2 ⊆ Aut C464C4.19(C4oD8)128,949
C4.20(C4○D8) = C16⋊D4φ: C4○D8/C2×C8 → C2 ⊆ Aut C464C4.20(C4oD8)128,950
C4.21(C4○D8) = C16.D4φ: C4○D8/C2×C8 → C2 ⊆ Aut C464C4.21(C4oD8)128,951
C4.22(C4○D8) = C16⋊2D4φ: C4○D8/C2×C8 → C2 ⊆ Aut C464C4.22(C4oD8)128,952
C4.23(C4○D8) = C42.355D4φ: C4○D8/C2×C8 → C2 ⊆ Aut C464C4.23(C4oD8)128,1863
C4.24(C4○D8) = C42.364D4φ: C4○D8/C2×C8 → C2 ⊆ Aut C464C4.24(C4oD8)128,1892
C4.25(C4○D8) = C42.365D4φ: C4○D8/C2×C8 → C2 ⊆ Aut C464C4.25(C4oD8)128,1899
C4.26(C4○D8) = C42.366D4φ: C4○D8/C2×C8 → C2 ⊆ Aut C464C4.26(C4oD8)128,1901
C4.27(C4○D8) = C42.367D4φ: C4○D8/C2×C8 → C2 ⊆ Aut C464C4.27(C4oD8)128,1902
C4.28(C4○D8) = C42.265D4φ: C4○D8/C2×C8 → C2 ⊆ Aut C464C4.28(C4oD8)128,1939
C4.29(C4○D8) = C42.268D4φ: C4○D8/C2×C8 → C2 ⊆ Aut C464C4.29(C4oD8)128,1942
C4.30(C4○D8) = C42.280D4φ: C4○D8/C2×C8 → C2 ⊆ Aut C464C4.30(C4oD8)128,1960
C4.31(C4○D8) = C42.283D4φ: C4○D8/C2×C8 → C2 ⊆ Aut C464C4.31(C4oD8)128,1963
C4.32(C4○D8) = D4⋊Q16φ: C4○D8/D8 → C2 ⊆ Aut C464C4.32(C4oD8)128,364
C4.33(C4○D8) = C42.195C23φ: C4○D8/D8 → C2 ⊆ Aut C464C4.33(C4oD8)128,366
C4.34(C4○D8) = D4.SD16φ: C4○D8/D8 → C2 ⊆ Aut C464C4.34(C4oD8)128,367
C4.35(C4○D8) = C42.199C23φ: C4○D8/D8 → C2 ⊆ Aut C464C4.35(C4oD8)128,370
C4.36(C4○D8) = D4.5SD16φ: C4○D8/D8 → C2 ⊆ Aut C464C4.36(C4oD8)128,375
C4.37(C4○D8) = C42.207C23φ: C4○D8/D8 → C2 ⊆ Aut C464C4.37(C4oD8)128,378
C4.38(C4○D8) = D4.7D8φ: C4○D8/D8 → C2 ⊆ Aut C464C4.38(C4oD8)128,379
C4.39(C4○D8) = C42.211C23φ: C4○D8/D8 → C2 ⊆ Aut C464C4.39(C4oD8)128,382
C4.40(C4○D8) = C8.28D8φ: C4○D8/D8 → C2 ⊆ Aut C464C4.40(C4oD8)128,401
C4.41(C4○D8) = Q8⋊1Q16φ: C4○D8/D8 → C2 ⊆ Aut C4128C4.41(C4oD8)128,402
C4.42(C4○D8) = D4.1Q16φ: C4○D8/D8 → C2 ⊆ Aut C464C4.42(C4oD8)128,407
C4.43(C4○D8) = Q8.1Q16φ: C4○D8/D8 → C2 ⊆ Aut C4128C4.43(C4oD8)128,408
C4.44(C4○D8) = D4.Q16φ: C4○D8/D8 → C2 ⊆ Aut C464C4.44(C4oD8)128,415
C4.45(C4○D8) = Q8.2Q16φ: C4○D8/D8 → C2 ⊆ Aut C4128C4.45(C4oD8)128,416
C4.46(C4○D8) = C42.468C23φ: C4○D8/D8 → C2 ⊆ Aut C464C4.46(C4oD8)128,2035
C4.47(C4○D8) = C42.490C23φ: C4○D8/D8 → C2 ⊆ Aut C464C4.47(C4oD8)128,2073
C4.48(C4○D8) = C42.501C23φ: C4○D8/D8 → C2 ⊆ Aut C464C4.48(C4oD8)128,2092
C4.49(C4○D8) = D8⋊6Q8φ: C4○D8/D8 → C2 ⊆ Aut C464C4.49(C4oD8)128,2112
C4.50(C4○D8) = C42.527C23φ: C4○D8/D8 → C2 ⊆ Aut C464C4.50(C4oD8)128,2125
C4.51(C4○D8) = D4⋊SD16φ: C4○D8/SD16 → C2 ⊆ Aut C464C4.51(C4oD8)128,354
C4.52(C4○D8) = C42.185C23φ: C4○D8/SD16 → C2 ⊆ Aut C464C4.52(C4oD8)128,356
C4.53(C4○D8) = D4⋊3D8φ: C4○D8/SD16 → C2 ⊆ Aut C464C4.53(C4oD8)128,357
C4.54(C4○D8) = C42.189C23φ: C4○D8/SD16 → C2 ⊆ Aut C464C4.54(C4oD8)128,360
C4.55(C4○D8) = C42.191C23φ: C4○D8/SD16 → C2 ⊆ Aut C464C4.55(C4oD8)128,362
C4.56(C4○D8) = Q8⋊2SD16φ: C4○D8/SD16 → C2 ⊆ Aut C464C4.56(C4oD8)128,363
C4.57(C4○D8) = Q8.Q16φ: C4○D8/SD16 → C2 ⊆ Aut C4128C4.57(C4oD8)128,368
C4.58(C4○D8) = C42.201C23φ: C4○D8/SD16 → C2 ⊆ Aut C464C4.58(C4oD8)128,372
C4.59(C4○D8) = Q8.D8φ: C4○D8/SD16 → C2 ⊆ Aut C464C4.59(C4oD8)128,373
C4.60(C4○D8) = D4⋊3Q16φ: C4○D8/SD16 → C2 ⊆ Aut C464C4.60(C4oD8)128,376
C4.61(C4○D8) = C42.213C23φ: C4○D8/SD16 → C2 ⊆ Aut C464C4.61(C4oD8)128,384
C4.62(C4○D8) = Q8.SD16φ: C4○D8/SD16 → C2 ⊆ Aut C4128C4.62(C4oD8)128,385
C4.63(C4○D8) = D4⋊4SD16φ: C4○D8/SD16 → C2 ⊆ Aut C464C4.63(C4oD8)128,386
C4.64(C4○D8) = C8⋊8D8φ: C4○D8/SD16 → C2 ⊆ Aut C464C4.64(C4oD8)128,397
C4.65(C4○D8) = C8⋊14SD16φ: C4○D8/SD16 → C2 ⊆ Aut C464C4.65(C4oD8)128,398
C4.66(C4○D8) = C8⋊11SD16φ: C4○D8/SD16 → C2 ⊆ Aut C464C4.66(C4oD8)128,403
C4.67(C4○D8) = C8⋊8Q16φ: C4○D8/SD16 → C2 ⊆ Aut C4128C4.67(C4oD8)128,404
C4.68(C4○D8) = D4.2SD16φ: C4○D8/SD16 → C2 ⊆ Aut C464C4.68(C4oD8)128,409
C4.69(C4○D8) = Q8.2SD16φ: C4○D8/SD16 → C2 ⊆ Aut C464C4.69(C4oD8)128,410
C4.70(C4○D8) = D4.3SD16φ: C4○D8/SD16 → C2 ⊆ Aut C464C4.70(C4oD8)128,411
C4.71(C4○D8) = Q8.3SD16φ: C4○D8/SD16 → C2 ⊆ Aut C4128C4.71(C4oD8)128,412
C4.72(C4○D8) = C42.467C23φ: C4○D8/SD16 → C2 ⊆ Aut C464C4.72(C4oD8)128,2034
C4.73(C4○D8) = C42.470C23φ: C4○D8/SD16 → C2 ⊆ Aut C464C4.73(C4oD8)128,2037
C4.74(C4○D8) = C42.489C23φ: C4○D8/SD16 → C2 ⊆ Aut C464C4.74(C4oD8)128,2072
C4.75(C4○D8) = C42.502C23φ: C4○D8/SD16 → C2 ⊆ Aut C464C4.75(C4oD8)128,2093
C4.76(C4○D8) = C42.505C23φ: C4○D8/SD16 → C2 ⊆ Aut C464C4.76(C4oD8)128,2096
C4.77(C4○D8) = SD16⋊4Q8φ: C4○D8/SD16 → C2 ⊆ Aut C464C4.77(C4oD8)128,2113
C4.78(C4○D8) = C42.528C23φ: C4○D8/SD16 → C2 ⊆ Aut C464C4.78(C4oD8)128,2126
C4.79(C4○D8) = C42.181C23φ: C4○D8/Q16 → C2 ⊆ Aut C464C4.79(C4oD8)128,352
C4.80(C4○D8) = Q8⋊D8φ: C4○D8/Q16 → C2 ⊆ Aut C464C4.80(C4oD8)128,353
C4.81(C4○D8) = Q8⋊6SD16φ: C4○D8/Q16 → C2 ⊆ Aut C464C4.81(C4oD8)128,358
C4.82(C4○D8) = Q8⋊3SD16φ: C4○D8/Q16 → C2 ⊆ Aut C464C4.82(C4oD8)128,374
C4.83(C4○D8) = Q8⋊4Q16φ: C4○D8/Q16 → C2 ⊆ Aut C4128C4.83(C4oD8)128,380
C4.84(C4○D8) = C8⋊7D8φ: C4○D8/Q16 → C2 ⊆ Aut C464C4.84(C4oD8)128,399
C4.85(C4○D8) = C8⋊13SD16φ: C4○D8/Q16 → C2 ⊆ Aut C464C4.85(C4oD8)128,400
C4.86(C4○D8) = C8⋊10SD16φ: C4○D8/Q16 → C2 ⊆ Aut C464C4.86(C4oD8)128,405
C4.87(C4○D8) = C8⋊7Q16φ: C4○D8/Q16 → C2 ⊆ Aut C4128C4.87(C4oD8)128,406
C4.88(C4○D8) = D4.2D8φ: C4○D8/Q16 → C2 ⊆ Aut C464C4.88(C4oD8)128,413
C4.89(C4○D8) = Q8.2D8φ: C4○D8/Q16 → C2 ⊆ Aut C464C4.89(C4oD8)128,414
C4.90(C4○D8) = C42.469C23φ: C4○D8/Q16 → C2 ⊆ Aut C464C4.90(C4oD8)128,2036
C4.91(C4○D8) = C42.491C23φ: C4○D8/Q16 → C2 ⊆ Aut C464C4.91(C4oD8)128,2074
C4.92(C4○D8) = C42.506C23φ: C4○D8/Q16 → C2 ⊆ Aut C464C4.92(C4oD8)128,2097
C4.93(C4○D8) = Q16⋊6Q8φ: C4○D8/Q16 → C2 ⊆ Aut C4128C4.93(C4oD8)128,2115
C4.94(C4○D8) = C42.530C23φ: C4○D8/Q16 → C2 ⊆ Aut C464C4.94(C4oD8)128,2128
C4.95(C4○D8) = C42.409D4φ: C4○D8/C4○D4 → C2 ⊆ Aut C464C4.95(C4oD8)128,272
C4.96(C4○D8) = C42.410D4φ: C4○D8/C4○D4 → C2 ⊆ Aut C464C4.96(C4oD8)128,274
C4.97(C4○D8) = C42.411D4φ: C4○D8/C4○D4 → C2 ⊆ Aut C464C4.97(C4oD8)128,275
C4.98(C4○D8) = C42.412D4φ: C4○D8/C4○D4 → C2 ⊆ Aut C464C4.98(C4oD8)128,276
C4.99(C4○D8) = C42.80D4φ: C4○D8/C4○D4 → C2 ⊆ Aut C464C4.99(C4oD8)128,283
C4.100(C4○D8) = C42.81D4φ: C4○D8/C4○D4 → C2 ⊆ Aut C464C4.100(C4oD8)128,284
C4.101(C4○D8) = C42.417D4φ: C4○D8/C4○D4 → C2 ⊆ Aut C464C4.101(C4oD8)128,285
C4.102(C4○D8) = C42.418D4φ: C4○D8/C4○D4 → C2 ⊆ Aut C464C4.102(C4oD8)128,286
C4.103(C4○D8) = C42.248C23φ: C4○D8/C4○D4 → C2 ⊆ Aut C464C4.103(C4oD8)128,429
C4.104(C4○D8) = C42.249C23φ: C4○D8/C4○D4 → C2 ⊆ Aut C464C4.104(C4oD8)128,430
C4.105(C4○D8) = C42.250C23φ: C4○D8/C4○D4 → C2 ⊆ Aut C464C4.105(C4oD8)128,431
C4.106(C4○D8) = C42.251C23φ: C4○D8/C4○D4 → C2 ⊆ Aut C4128C4.106(C4oD8)128,432
C4.107(C4○D8) = C42.252C23φ: C4○D8/C4○D4 → C2 ⊆ Aut C464C4.107(C4oD8)128,433
C4.108(C4○D8) = C42.253C23φ: C4○D8/C4○D4 → C2 ⊆ Aut C464C4.108(C4oD8)128,434
C4.109(C4○D8) = C42.254C23φ: C4○D8/C4○D4 → C2 ⊆ Aut C464C4.109(C4oD8)128,435
C4.110(C4○D8) = C42.255C23φ: C4○D8/C4○D4 → C2 ⊆ Aut C4128C4.110(C4oD8)128,436
C4.111(C4○D8) = C42.447D4φ: C4○D8/C4○D4 → C2 ⊆ Aut C464C4.111(C4oD8)128,1808
C4.112(C4○D8) = C42.450D4φ: C4○D8/C4○D4 → C2 ⊆ Aut C464C4.112(C4oD8)128,1838
C4.113(C4○D8) = C42.451D4φ: C4○D8/C4○D4 → C2 ⊆ Aut C464C4.113(C4oD8)128,1839
C4.114(C4○D8) = C42.270D4φ: C4○D8/C4○D4 → C2 ⊆ Aut C464C4.114(C4oD8)128,1944
C4.115(C4○D8) = C42.285D4φ: C4○D8/C4○D4 → C2 ⊆ Aut C464C4.115(C4oD8)128,1965
C4.116(C4○D8) = C42.295D4φ: C4○D8/C4○D4 → C2 ⊆ Aut C464C4.116(C4oD8)128,1979
C4.117(C4○D8) = C42.296D4φ: C4○D8/C4○D4 → C2 ⊆ Aut C464C4.117(C4oD8)128,1980
C4.118(C4○D8) = C42.455D4central extension (φ=1)64C4.118(C4oD8)128,208
C4.119(C4○D8) = C42.373D4central extension (φ=1)64C4.119(C4oD8)128,214
C4.120(C4○D8) = C42.374D4central extension (φ=1)64C4.120(C4oD8)128,220
C4.121(C4○D8) = C42.305D4central extension (φ=1)64C4.121(C4oD8)128,226
C4.122(C4○D8) = C42.42Q8central extension (φ=1)64C4.122(C4oD8)128,296
C4.123(C4○D8) = C42.43Q8central extension (φ=1)64C4.123(C4oD8)128,300
C4.124(C4○D8) = C42.Q8central extension (φ=1)64C4.124(C4oD8)128,304
C4.125(C4○D8) = C8×D8central extension (φ=1)64C4.125(C4oD8)128,307
C4.126(C4○D8) = C8×SD16central extension (φ=1)64C4.126(C4oD8)128,308
C4.127(C4○D8) = C8×Q16central extension (φ=1)128C4.127(C4oD8)128,309
C4.128(C4○D8) = C8⋊9D8central extension (φ=1)64C4.128(C4oD8)128,313
C4.129(C4○D8) = C8⋊12SD16central extension (φ=1)64C4.129(C4oD8)128,314
C4.130(C4○D8) = C8⋊15SD16central extension (φ=1)64C4.130(C4oD8)128,315
C4.131(C4○D8) = C8⋊9Q16central extension (φ=1)128C4.131(C4oD8)128,316
C4.132(C4○D8) = C8⋊6D8central extension (φ=1)64C4.132(C4oD8)128,321
C4.133(C4○D8) = C8⋊9SD16central extension (φ=1)64C4.133(C4oD8)128,322
C4.134(C4○D8) = C8⋊6Q16central extension (φ=1)128C4.134(C4oD8)128,323
C4.135(C4○D8) = C42.384D4central extension (φ=1)64C4.135(C4oD8)128,1834
C4.136(C4○D8) = C42.308D4central extension (φ=1)64C4.136(C4oD8)128,1900

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