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Extensions 1→N→G→Q→1 with N=C4 and Q=C8.C22

Direct product G=N×Q with N=C4 and Q=C8.C22
dρLabelID
C4×C8.C2264C4xC8.C2^2128,1677

Semidirect products G=N:Q with N=C4 and Q=C8.C22
extensionφ:Q→Aut NdρLabelID
C4⋊1(C8.C22) = M4(2)⋊8D4φ: C8.C22/M4(2) → C2 ⊆ Aut C464C4:1(C8.C2^2)128,1884
C4⋊2(C8.C22) = SD16⋊3D4φ: C8.C22/SD16 → C2 ⊆ Aut C464C4:2(C8.C2^2)128,2008
C4⋊3(C8.C22) = Q16⋊5D4φ: C8.C22/Q16 → C2 ⊆ Aut C464C4:3(C8.C2^2)128,2010
C4⋊4(C8.C22) = C42.212D4φ: C8.C22/C2×Q8 → C2 ⊆ Aut C464C4:4(C8.C2^2)128,1769
C4⋊5(C8.C22) = C42.445D4φ: C8.C22/C4○D4 → C2 ⊆ Aut C464C4:5(C8.C2^2)128,1771

Non-split extensions G=N.Q with N=C4 and Q=C8.C22
extensionφ:Q→Aut NdρLabelID
C4.1(C8.C22) = C8⋊5SD16φ: C8.C22/M4(2) → C2 ⊆ Aut C464C4.1(C8.C2^2)128,446
C4.2(C8.C22) = C8.9SD16φ: C8.C22/M4(2) → C2 ⊆ Aut C4128C4.2(C8.C2^2)128,448
C4.3(C8.C22) = C42.665C23φ: C8.C22/M4(2) → C2 ⊆ Aut C4128C4.3(C8.C2^2)128,450
C4.4(C8.C22) = C42.666C23φ: C8.C22/M4(2) → C2 ⊆ Aut C464C4.4(C8.C2^2)128,451
C4.5(C8.C22) = C42.667C23φ: C8.C22/M4(2) → C2 ⊆ Aut C464C4.5(C8.C2^2)128,452
C4.6(C8.C22) = C8.2D8φ: C8.C22/M4(2) → C2 ⊆ Aut C464C4.6(C8.C2^2)128,454
C4.7(C8.C22) = C8⋊3Q16φ: C8.C22/M4(2) → C2 ⊆ Aut C4128C4.7(C8.C2^2)128,455
C4.8(C8.C22) = D8⋊1Q8φ: C8.C22/M4(2) → C2 ⊆ Aut C464C4.8(C8.C2^2)128,956
C4.9(C8.C22) = Q16⋊Q8φ: C8.C22/M4(2) → C2 ⊆ Aut C4128C4.9(C8.C2^2)128,957
C4.10(C8.C22) = D8⋊Q8φ: C8.C22/M4(2) → C2 ⊆ Aut C464C4.10(C8.C2^2)128,958
C4.11(C8.C22) = C4.Q32φ: C8.C22/M4(2) → C2 ⊆ Aut C4128C4.11(C8.C2^2)128,959
C4.12(C8.C22) = D8.Q8φ: C8.C22/M4(2) → C2 ⊆ Aut C464C4.12(C8.C2^2)128,960
C4.13(C8.C22) = Q16.Q8φ: C8.C22/M4(2) → C2 ⊆ Aut C4128C4.13(C8.C2^2)128,961
C4.14(C8.C22) = C22.D16φ: C8.C22/M4(2) → C2 ⊆ Aut C464C4.14(C8.C2^2)128,964
C4.15(C8.C22) = C23.49D8φ: C8.C22/M4(2) → C2 ⊆ Aut C464C4.15(C8.C2^2)128,965
C4.16(C8.C22) = C23.19D8φ: C8.C22/M4(2) → C2 ⊆ Aut C464C4.16(C8.C2^2)128,966
C4.17(C8.C22) = C23.50D8φ: C8.C22/M4(2) → C2 ⊆ Aut C464C4.17(C8.C2^2)128,967
C4.18(C8.C22) = C23.51D8φ: C8.C22/M4(2) → C2 ⊆ Aut C464C4.18(C8.C2^2)128,968
C4.19(C8.C22) = C23.20D8φ: C8.C22/M4(2) → C2 ⊆ Aut C464C4.19(C8.C2^2)128,969
C4.20(C8.C22) = C42.241D4φ: C8.C22/M4(2) → C2 ⊆ Aut C464C4.20(C8.C2^2)128,1871
C4.21(C8.C22) = C42.243D4φ: C8.C22/M4(2) → C2 ⊆ Aut C464C4.21(C8.C2^2)128,1873
C4.22(C8.C22) = M4(2)⋊5Q8φ: C8.C22/M4(2) → C2 ⊆ Aut C464C4.22(C8.C2^2)128,1897
C4.23(C8.C22) = C42.259D4φ: C8.C22/M4(2) → C2 ⊆ Aut C464C4.23(C8.C2^2)128,1914
C4.24(C8.C22) = C42.262D4φ: C8.C22/M4(2) → C2 ⊆ Aut C464C4.24(C8.C2^2)128,1917
C4.25(C8.C22) = C42.264D4φ: C8.C22/M4(2) → C2 ⊆ Aut C464C4.25(C8.C2^2)128,1938
C4.26(C8.C22) = C42.267D4φ: C8.C22/M4(2) → C2 ⊆ Aut C464C4.26(C8.C2^2)128,1941
C4.27(C8.C22) = C42.268D4φ: C8.C22/M4(2) → C2 ⊆ Aut C464C4.27(C8.C2^2)128,1942
C4.28(C8.C22) = C42.278D4φ: C8.C22/M4(2) → C2 ⊆ Aut C464C4.28(C8.C2^2)128,1958
C4.29(C8.C22) = C42.281D4φ: C8.C22/M4(2) → C2 ⊆ Aut C464C4.29(C8.C2^2)128,1961
C4.30(C8.C22) = C42.283D4φ: C8.C22/M4(2) → C2 ⊆ Aut C464C4.30(C8.C2^2)128,1963
C4.31(C8.C22) = D4⋊Q16φ: C8.C22/SD16 → C2 ⊆ Aut C464C4.31(C8.C2^2)128,364
C4.32(C8.C22) = Q8⋊Q16φ: C8.C22/SD16 → C2 ⊆ Aut C4128C4.32(C8.C2^2)128,365
C4.33(C8.C22) = C42.195C23φ: C8.C22/SD16 → C2 ⊆ Aut C464C4.33(C8.C2^2)128,366
C4.34(C8.C22) = D4.SD16φ: C8.C22/SD16 → C2 ⊆ Aut C464C4.34(C8.C2^2)128,367
C4.35(C8.C22) = D4.3Q16φ: C8.C22/SD16 → C2 ⊆ Aut C464C4.35(C8.C2^2)128,369
C4.36(C8.C22) = D4⋊3Q16φ: C8.C22/SD16 → C2 ⊆ Aut C464C4.36(C8.C2^2)128,376
C4.37(C8.C22) = C42.207C23φ: C8.C22/SD16 → C2 ⊆ Aut C464C4.37(C8.C2^2)128,378
C4.38(C8.C22) = D4.7D8φ: C8.C22/SD16 → C2 ⊆ Aut C464C4.38(C8.C2^2)128,379
C4.39(C8.C22) = Q8⋊4Q16φ: C8.C22/SD16 → C2 ⊆ Aut C4128C4.39(C8.C2^2)128,380
C4.40(C8.C22) = D4⋊4Q16φ: C8.C22/SD16 → C2 ⊆ Aut C464C4.40(C8.C2^2)128,381
C4.41(C8.C22) = C42.211C23φ: C8.C22/SD16 → C2 ⊆ Aut C464C4.41(C8.C2^2)128,382
C4.42(C8.C22) = C8.D8φ: C8.C22/SD16 → C2 ⊆ Aut C464C4.42(C8.C2^2)128,421
C4.43(C8.C22) = C8.SD16φ: C8.C22/SD16 → C2 ⊆ Aut C4128C4.43(C8.C2^2)128,422
C4.44(C8.C22) = C8.8SD16φ: C8.C22/SD16 → C2 ⊆ Aut C464C4.44(C8.C2^2)128,427
C4.45(C8.C22) = C8.3Q16φ: C8.C22/SD16 → C2 ⊆ Aut C4128C4.45(C8.C2^2)128,428
C4.46(C8.C22) = C42.254C23φ: C8.C22/SD16 → C2 ⊆ Aut C464C4.46(C8.C2^2)128,435
C4.47(C8.C22) = C42.255C23φ: C8.C22/SD16 → C2 ⊆ Aut C4128C4.47(C8.C2^2)128,436
C4.48(C8.C22) = C42.478C23φ: C8.C22/SD16 → C2 ⊆ Aut C464C4.48(C8.C2^2)128,2061
C4.49(C8.C22) = C42.480C23φ: C8.C22/SD16 → C2 ⊆ Aut C464C4.49(C8.C2^2)128,2063
C4.50(C8.C22) = C42.498C23φ: C8.C22/SD16 → C2 ⊆ Aut C464C4.50(C8.C2^2)128,2089
C4.51(C8.C22) = C42.510C23φ: C8.C22/SD16 → C2 ⊆ Aut C464C4.51(C8.C2^2)128,2101
C4.52(C8.C22) = C42.513C23φ: C8.C22/SD16 → C2 ⊆ Aut C464C4.52(C8.C2^2)128,2104
C4.53(C8.C22) = SD16⋊Q8φ: C8.C22/SD16 → C2 ⊆ Aut C464C4.53(C8.C2^2)128,2117
C4.54(C8.C22) = C42.73C23φ: C8.C22/SD16 → C2 ⊆ Aut C464C4.54(C8.C2^2)128,2130
C4.55(C8.C22) = D4⋊SD16φ: C8.C22/Q16 → C2 ⊆ Aut C464C4.55(C8.C2^2)128,354
C4.56(C8.C22) = Q8⋊SD16φ: C8.C22/Q16 → C2 ⊆ Aut C464C4.56(C8.C2^2)128,355
C4.57(C8.C22) = Q8⋊6SD16φ: C8.C22/Q16 → C2 ⊆ Aut C464C4.57(C8.C2^2)128,358
C4.58(C8.C22) = Q8⋊3D8φ: C8.C22/Q16 → C2 ⊆ Aut C464C4.58(C8.C2^2)128,359
C4.59(C8.C22) = C42.191C23φ: C8.C22/Q16 → C2 ⊆ Aut C464C4.59(C8.C2^2)128,362
C4.60(C8.C22) = Q8⋊2SD16φ: C8.C22/Q16 → C2 ⊆ Aut C464C4.60(C8.C2^2)128,363
C4.61(C8.C22) = Q8.Q16φ: C8.C22/Q16 → C2 ⊆ Aut C4128C4.61(C8.C2^2)128,368
C4.62(C8.C22) = C42.199C23φ: C8.C22/Q16 → C2 ⊆ Aut C464C4.62(C8.C2^2)128,370
C4.63(C8.C22) = C42.201C23φ: C8.C22/Q16 → C2 ⊆ Aut C464C4.63(C8.C2^2)128,372
C4.64(C8.C22) = Q8.D8φ: C8.C22/Q16 → C2 ⊆ Aut C464C4.64(C8.C2^2)128,373
C4.65(C8.C22) = D4.5SD16φ: C8.C22/Q16 → C2 ⊆ Aut C464C4.65(C8.C2^2)128,375
C4.66(C8.C22) = Q8⋊3Q16φ: C8.C22/Q16 → C2 ⊆ Aut C4128C4.66(C8.C2^2)128,377
C4.67(C8.C22) = Q8⋊4SD16φ: C8.C22/Q16 → C2 ⊆ Aut C464C4.67(C8.C2^2)128,383
C4.68(C8.C22) = C42.213C23φ: C8.C22/Q16 → C2 ⊆ Aut C464C4.68(C8.C2^2)128,384
C4.69(C8.C22) = Q8.SD16φ: C8.C22/Q16 → C2 ⊆ Aut C4128C4.69(C8.C2^2)128,385
C4.70(C8.C22) = C8⋊D8φ: C8.C22/Q16 → C2 ⊆ Aut C464C4.70(C8.C2^2)128,417
C4.71(C8.C22) = C8⋊SD16φ: C8.C22/Q16 → C2 ⊆ Aut C464C4.71(C8.C2^2)128,418
C4.72(C8.C22) = C8⋊3SD16φ: C8.C22/Q16 → C2 ⊆ Aut C464C4.72(C8.C2^2)128,423
C4.73(C8.C22) = C8⋊Q16φ: C8.C22/Q16 → C2 ⊆ Aut C4128C4.73(C8.C2^2)128,424
C4.74(C8.C22) = C42.248C23φ: C8.C22/Q16 → C2 ⊆ Aut C464C4.74(C8.C2^2)128,429
C4.75(C8.C22) = C42.249C23φ: C8.C22/Q16 → C2 ⊆ Aut C464C4.75(C8.C2^2)128,430
C4.76(C8.C22) = C42.250C23φ: C8.C22/Q16 → C2 ⊆ Aut C464C4.76(C8.C2^2)128,431
C4.77(C8.C22) = C42.477C23φ: C8.C22/Q16 → C2 ⊆ Aut C464C4.77(C8.C2^2)128,2060
C4.78(C8.C22) = C42.482C23φ: C8.C22/Q16 → C2 ⊆ Aut C464C4.78(C8.C2^2)128,2065
C4.79(C8.C22) = C42.497C23φ: C8.C22/Q16 → C2 ⊆ Aut C464C4.79(C8.C2^2)128,2088
C4.80(C8.C22) = C42.515C23φ: C8.C22/Q16 → C2 ⊆ Aut C4128C4.80(C8.C2^2)128,2106
C4.81(C8.C22) = C42.516C23φ: C8.C22/Q16 → C2 ⊆ Aut C464C4.81(C8.C2^2)128,2107
C4.82(C8.C22) = Q16⋊4Q8φ: C8.C22/Q16 → C2 ⊆ Aut C4128C4.82(C8.C2^2)128,2119
C4.83(C8.C22) = C42.75C23φ: C8.C22/Q16 → C2 ⊆ Aut C464C4.83(C8.C2^2)128,2132
C4.84(C8.C22) = C42.78D4φ: C8.C22/C2×Q8 → C2 ⊆ Aut C464C4.84(C8.C2^2)128,279
C4.85(C8.C22) = C42.79D4φ: C8.C22/C2×Q8 → C2 ⊆ Aut C464C4.85(C8.C2^2)128,282
C4.86(C8.C22) = C42.80D4φ: C8.C22/C2×Q8 → C2 ⊆ Aut C464C4.86(C8.C2^2)128,283
C4.87(C8.C22) = C42.81D4φ: C8.C22/C2×Q8 → C2 ⊆ Aut C464C4.87(C8.C2^2)128,284
C4.88(C8.C22) = C42.84D4φ: C8.C22/C2×Q8 → C2 ⊆ Aut C464C4.88(C8.C2^2)128,289
C4.89(C8.C22) = C42.87D4φ: C8.C22/C2×Q8 → C2 ⊆ Aut C464C4.89(C8.C2^2)128,292
C4.90(C8.C22) = C42.88D4φ: C8.C22/C2×Q8 → C2 ⊆ Aut C464C4.90(C8.C2^2)128,293
C4.91(C8.C22) = Q8.2SD16φ: C8.C22/C2×Q8 → C2 ⊆ Aut C464C4.91(C8.C2^2)128,410
C4.92(C8.C22) = Q8.3SD16φ: C8.C22/C2×Q8 → C2 ⊆ Aut C4128C4.92(C8.C2^2)128,412
C4.93(C8.C22) = Q8.2D8φ: C8.C22/C2×Q8 → C2 ⊆ Aut C464C4.93(C8.C2^2)128,414
C4.94(C8.C22) = Q8.2Q16φ: C8.C22/C2×Q8 → C2 ⊆ Aut C4128C4.94(C8.C2^2)128,416
C4.95(C8.C22) = C42.251C23φ: C8.C22/C2×Q8 → C2 ⊆ Aut C4128C4.95(C8.C2^2)128,432
C4.96(C8.C22) = C42.253C23φ: C8.C22/C2×Q8 → C2 ⊆ Aut C464C4.96(C8.C2^2)128,434
C4.97(C8.C22) = C42.220D4φ: C8.C22/C2×Q8 → C2 ⊆ Aut C464C4.97(C8.C2^2)128,1810
C4.98(C8.C22) = C42.230D4φ: C8.C22/C2×Q8 → C2 ⊆ Aut C464C4.98(C8.C2^2)128,1844
C4.99(C8.C22) = C42.231D4φ: C8.C22/C2×Q8 → C2 ⊆ Aut C464C4.99(C8.C2^2)128,1845
C4.100(C8.C22) = C42.274D4φ: C8.C22/C2×Q8 → C2 ⊆ Aut C464C4.100(C8.C2^2)128,1948
C4.101(C8.C22) = C42.289D4φ: C8.C22/C2×Q8 → C2 ⊆ Aut C464C4.101(C8.C2^2)128,1969
C4.102(C8.C22) = C42.302D4φ: C8.C22/C2×Q8 → C2 ⊆ Aut C464C4.102(C8.C2^2)128,1986
C4.103(C8.C22) = C42.303D4φ: C8.C22/C2×Q8 → C2 ⊆ Aut C464C4.103(C8.C2^2)128,1987
C4.104(C8.C22) = C42.414D4φ: C8.C22/C4○D4 → C2 ⊆ Aut C464C4.104(C8.C2^2)128,278
C4.105(C8.C22) = C42.415D4φ: C8.C22/C4○D4 → C2 ⊆ Aut C464C4.105(C8.C2^2)128,280
C4.106(C8.C22) = C42.418D4φ: C8.C22/C4○D4 → C2 ⊆ Aut C464C4.106(C8.C2^2)128,286
C4.107(C8.C22) = C42.83D4φ: C8.C22/C4○D4 → C2 ⊆ Aut C464C4.107(C8.C2^2)128,288
C4.108(C8.C22) = C42.85D4φ: C8.C22/C4○D4 → C2 ⊆ Aut C464C4.108(C8.C2^2)128,290
C4.109(C8.C22) = C42.86D4φ: C8.C22/C4○D4 → C2 ⊆ Aut C464C4.109(C8.C2^2)128,291
C4.110(C8.C22) = C8⋊11SD16φ: C8.C22/C4○D4 → C2 ⊆ Aut C464C4.110(C8.C2^2)128,403
C4.111(C8.C22) = C8⋊8Q16φ: C8.C22/C4○D4 → C2 ⊆ Aut C4128C4.111(C8.C2^2)128,404
C4.112(C8.C22) = C8⋊10SD16φ: C8.C22/C4○D4 → C2 ⊆ Aut C464C4.112(C8.C2^2)128,405
C4.113(C8.C22) = C8⋊7Q16φ: C8.C22/C4○D4 → C2 ⊆ Aut C4128C4.113(C8.C2^2)128,406
C4.114(C8.C22) = D4.1Q16φ: C8.C22/C4○D4 → C2 ⊆ Aut C464C4.114(C8.C2^2)128,407
C4.115(C8.C22) = Q8.1Q16φ: C8.C22/C4○D4 → C2 ⊆ Aut C4128C4.115(C8.C2^2)128,408
C4.116(C8.C22) = C8⋊4SD16φ: C8.C22/C4○D4 → C2 ⊆ Aut C464C4.116(C8.C2^2)128,425
C4.117(C8.C22) = C8⋊2Q16φ: C8.C22/C4○D4 → C2 ⊆ Aut C4128C4.117(C8.C2^2)128,426
C4.118(C8.C22) = C42.448D4φ: C8.C22/C4○D4 → C2 ⊆ Aut C464C4.118(C8.C2^2)128,1811
C4.119(C8.C22) = C42.234D4φ: C8.C22/C4○D4 → C2 ⊆ Aut C464C4.119(C8.C2^2)128,1848
C4.120(C8.C22) = C42.276D4φ: C8.C22/C4○D4 → C2 ⊆ Aut C464C4.120(C8.C2^2)128,1950
C4.121(C8.C22) = C42.290D4φ: C8.C22/C4○D4 → C2 ⊆ Aut C464C4.121(C8.C2^2)128,1970
C4.122(C8.C22) = C42.300D4φ: C8.C22/C4○D4 → C2 ⊆ Aut C464C4.122(C8.C2^2)128,1984
C4.123(C8.C22) = C42.397D4central extension (φ=1)64C4.123(C8.C2^2)128,209
C4.124(C8.C22) = C42.399D4central extension (φ=1)64C4.124(C8.C2^2)128,211
C4.125(C8.C22) = C42.47D4central extension (φ=1)64C4.125(C8.C2^2)128,215
C4.126(C8.C22) = C42.401D4central extension (φ=1)64C4.126(C8.C2^2)128,217
C4.127(C8.C22) = D4⋊4M4(2)central extension (φ=1)64C4.127(C8.C2^2)128,221
C4.128(C8.C22) = Q8⋊5M4(2)central extension (φ=1)64C4.128(C8.C2^2)128,223
C4.129(C8.C22) = C42.52D4central extension (φ=1)64C4.129(C8.C2^2)128,227
C4.130(C8.C22) = C42.54D4central extension (φ=1)64C4.130(C8.C2^2)128,229
C4.131(C8.C22) = M4(2)⋊1C8central extension (φ=1)64C4.131(C8.C2^2)128,297
C4.132(C8.C22) = C8⋊1M4(2)central extension (φ=1)64C4.132(C8.C2^2)128,301
C4.133(C8.C22) = C42.92D4central extension (φ=1)64C4.133(C8.C2^2)128,305
C4.134(C8.C22) = C42.21Q8central extension (φ=1)64C4.134(C8.C2^2)128,306
C4.135(C8.C22) = SD16⋊C8central extension (φ=1)64C4.135(C8.C2^2)128,310
C4.136(C8.C22) = Q16⋊5C8central extension (φ=1)128C4.136(C8.C2^2)128,311
C4.137(C8.C22) = D4.M4(2)central extension (φ=1)64C4.137(C8.C2^2)128,317
C4.138(C8.C22) = Q8.M4(2)central extension (φ=1)128C4.138(C8.C2^2)128,319
C4.139(C8.C22) = Q8⋊2M4(2)central extension (φ=1)64C4.139(C8.C2^2)128,320
C4.140(C8.C22) = C8⋊M4(2)central extension (φ=1)64C4.140(C8.C2^2)128,324
C4.141(C8.C22) = C8.M4(2)central extension (φ=1)128C4.141(C8.C2^2)128,325
C4.142(C8.C22) = C42.451D4central extension (φ=1)64C4.142(C8.C2^2)128,1839
C4.143(C8.C22) = C42.226D4central extension (φ=1)64C4.143(C8.C2^2)128,1840
C4.144(C8.C22) = C42.256D4central extension (φ=1)64C4.144(C8.C2^2)128,1904

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