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Extensions 1→N→G→Q→1 with N=C22 and Q=C4○D8

Direct product G=N×Q with N=C22 and Q=C4○D8
dρLabelID
C22×C4○D864C2^2xC4oD8128,2309

Semidirect products G=N:Q with N=C22 and Q=C4○D8
extensionφ:Q→Aut NdρLabelID
C22⋊1(C4○D8) = C24.144D4φ: C4○D8/C2×C8 → C2 ⊆ Aut C2232C2^2:1(C4oD8)128,1782
C22⋊2(C4○D8) = D8⋊12D4φ: C4○D8/D8 → C2 ⊆ Aut C2232C2^2:2(C4oD8)128,2012
C22⋊3(C4○D8) = SD16⋊10D4φ: C4○D8/SD16 → C2 ⊆ Aut C2232C2^2:3(C4oD8)128,2014
C22⋊4(C4○D8) = Q16⋊12D4φ: C4○D8/Q16 → C2 ⊆ Aut C2264C2^2:4(C4oD8)128,2017
C22⋊5(C4○D8) = C24.103D4φ: C4○D8/C4○D4 → C2 ⊆ Aut C2232C2^2:5(C4oD8)128,1734

Non-split extensions G=N.Q with N=C22 and Q=C4○D8
extensionφ:Q→Aut NdρLabelID
C22.1(C4○D8) = C8○D16φ: C4○D8/C2×C8 → C2 ⊆ Aut C22322C2^2.1(C4oD8)128,910
C22.2(C4○D8) = D16⋊5C4φ: C4○D8/C2×C8 → C2 ⊆ Aut C22324C2^2.2(C4oD8)128,911
C22.3(C4○D8) = C42.308D4φ: C4○D8/C2×C8 → C2 ⊆ Aut C2264C2^2.3(C4oD8)128,1900
C22.4(C4○D8) = C24.124D4φ: C4○D8/C2×C8 → C2 ⊆ Aut C2232C2^2.4(C4oD8)128,1923
C22.5(C4○D8) = C42.298D4φ: C4○D8/C2×C8 → C2 ⊆ Aut C2264C2^2.5(C4oD8)128,1982
C22.6(C4○D8) = D4.3D8φ: C4○D8/D8 → C2 ⊆ Aut C22324+C2^2.6(C4oD8)128,953
C22.7(C4○D8) = D4.4D8φ: C4○D8/D8 → C2 ⊆ Aut C22644-C2^2.7(C4oD8)128,954
C22.8(C4○D8) = D4.5D8φ: C4○D8/D8 → C2 ⊆ Aut C22324C2^2.8(C4oD8)128,955
C22.9(C4○D8) = C42.461C23φ: C4○D8/D8 → C2 ⊆ Aut C2232C2^2.9(C4oD8)128,2028
C22.10(C4○D8) = C42.485C23φ: C4○D8/D8 → C2 ⊆ Aut C2264C2^2.10(C4oD8)128,2068
C22.11(C4○D8) = C42.462C23φ: C4○D8/SD16 → C2 ⊆ Aut C2232C2^2.11(C4oD8)128,2029
C22.12(C4○D8) = C42.465C23φ: C4○D8/SD16 → C2 ⊆ Aut C2264C2^2.12(C4oD8)128,2032
C22.13(C4○D8) = C42.486C23φ: C4○D8/SD16 → C2 ⊆ Aut C2264C2^2.13(C4oD8)128,2069
C22.14(C4○D8) = C42.466C23φ: C4○D8/Q16 → C2 ⊆ Aut C2264C2^2.14(C4oD8)128,2033
C22.15(C4○D8) = C42.488C23φ: C4○D8/Q16 → C2 ⊆ Aut C2264C2^2.15(C4oD8)128,2071
C22.16(C4○D8) = C42.375D4φ: C4○D8/C4○D4 → C2 ⊆ Aut C2232C2^2.16(C4oD8)128,232
C22.17(C4○D8) = C24.53D4φ: C4○D8/C4○D4 → C2 ⊆ Aut C2232C2^2.17(C4oD8)128,233
C22.18(C4○D8) = C24.59D4φ: C4○D8/C4○D4 → C2 ⊆ Aut C2232C2^2.18(C4oD8)128,248
C22.19(C4○D8) = C42.63D4φ: C4○D8/C4○D4 → C2 ⊆ Aut C2232C2^2.19(C4oD8)128,253
C22.20(C4○D8) = C4⋊C4.D4φ: C4○D8/C4○D4 → C2 ⊆ Aut C2232C2^2.20(C4oD8)128,329
C22.21(C4○D8) = C24.9D4φ: C4○D8/C4○D4 → C2 ⊆ Aut C2216C2^2.21(C4oD8)128,332
C22.22(C4○D8) = C4⋊C4.6D4φ: C4○D8/C4○D4 → C2 ⊆ Aut C2232C2^2.22(C4oD8)128,335
C22.23(C4○D8) = C24.12D4φ: C4○D8/C4○D4 → C2 ⊆ Aut C2232C2^2.23(C4oD8)128,338
C22.24(C4○D8) = C4⋊C4.12D4φ: C4○D8/C4○D4 → C2 ⊆ Aut C2232C2^2.24(C4oD8)128,341
C22.25(C4○D8) = C24.15D4φ: C4○D8/C4○D4 → C2 ⊆ Aut C2232C2^2.25(C4oD8)128,344
C22.26(C4○D8) = C4⋊C4.18D4φ: C4○D8/C4○D4 → C2 ⊆ Aut C2232C2^2.26(C4oD8)128,347
C22.27(C4○D8) = C24.18D4φ: C4○D8/C4○D4 → C2 ⊆ Aut C2232C2^2.27(C4oD8)128,350
C22.28(C4○D8) = C24.115D4φ: C4○D8/C4○D4 → C2 ⊆ Aut C2232C2^2.28(C4oD8)128,1823
C22.29(C4○D8) = C42.225D4φ: C4○D8/C4○D4 → C2 ⊆ Aut C2232C2^2.29(C4oD8)128,1837
C22.30(C4○D8) = C42.226D4φ: C4○D8/C4○D4 → C2 ⊆ Aut C2264C2^2.30(C4oD8)128,1840
C22.31(C4○D8) = C24.121D4φ: C4○D8/C4○D4 → C2 ⊆ Aut C2232C2^2.31(C4oD8)128,1920
C22.32(C4○D8) = C24.123D4φ: C4○D8/C4○D4 → C2 ⊆ Aut C2232C2^2.32(C4oD8)128,1922
C22.33(C4○D8) = C42.269D4φ: C4○D8/C4○D4 → C2 ⊆ Aut C2232C2^2.33(C4oD8)128,1943
C22.34(C4○D8) = C42.284D4φ: C4○D8/C4○D4 → C2 ⊆ Aut C2264C2^2.34(C4oD8)128,1964
C22.35(C4○D8) = C24.132D4central extension (φ=1)64C2^2.35(C4oD8)128,467
C22.36(C4○D8) = C4×D4⋊C4central extension (φ=1)64C2^2.36(C4oD8)128,492
C22.37(C4○D8) = C4×Q8⋊C4central extension (φ=1)128C2^2.37(C4oD8)128,493
C22.38(C4○D8) = C4×C4.Q8central extension (φ=1)128C2^2.38(C4oD8)128,506
C22.39(C4○D8) = C4×C2.D8central extension (φ=1)128C2^2.39(C4oD8)128,507
C22.40(C4○D8) = C24.65D4central extension (φ=1)64C2^2.40(C4oD8)128,520
C22.41(C4○D8) = C42.100D4central extension (φ=1)64C2^2.41(C4oD8)128,536
C22.42(C4○D8) = C42.101D4central extension (φ=1)128C2^2.42(C4oD8)128,537
C22.43(C4○D8) = C24.133D4central extension (φ=1)64C2^2.43(C4oD8)128,539
C22.44(C4○D8) = C23.22D8central extension (φ=1)64C2^2.44(C4oD8)128,540
C22.45(C4○D8) = C24.69D4central extension (φ=1)64C2^2.45(C4oD8)128,557
C22.46(C4○D8) = C42.56Q8central extension (φ=1)128C2^2.46(C4oD8)128,567
C22.47(C4○D8) = C42.60Q8central extension (φ=1)128C2^2.47(C4oD8)128,578
C22.48(C4○D8) = C24.71D4central extension (φ=1)64C2^2.48(C4oD8)128,586
C22.49(C4○D8) = C2.(C4×D8)central extension (φ=1)64C2^2.49(C4oD8)128,594
C22.50(C4○D8) = Q8⋊(C4⋊C4)central extension (φ=1)128C2^2.50(C4oD8)128,595
C22.51(C4○D8) = D4⋊(C4⋊C4)central extension (φ=1)64C2^2.51(C4oD8)128,596
C22.52(C4○D8) = Q8⋊C4⋊C4central extension (φ=1)128C2^2.52(C4oD8)128,597
C22.53(C4○D8) = C24.73D4central extension (φ=1)64C2^2.53(C4oD8)128,605
C22.54(C4○D8) = C24.74D4central extension (φ=1)64C2^2.54(C4oD8)128,607
C22.55(C4○D8) = (C2×SD16)⋊14C4central extension (φ=1)64C2^2.55(C4oD8)128,609
C22.56(C4○D8) = (C2×C4)⋊9Q16central extension (φ=1)128C2^2.56(C4oD8)128,610
C22.57(C4○D8) = (C2×C4)⋊9D8central extension (φ=1)64C2^2.57(C4oD8)128,611
C22.58(C4○D8) = (C2×SD16)⋊15C4central extension (φ=1)64C2^2.58(C4oD8)128,612
C22.59(C4○D8) = C24.135D4central extension (φ=1)64C2^2.59(C4oD8)128,624
C22.60(C4○D8) = C23.23D8central extension (φ=1)64C2^2.60(C4oD8)128,625
C22.61(C4○D8) = C2.D8⋊4C4central extension (φ=1)128C2^2.61(C4oD8)128,650
C22.62(C4○D8) = C4.Q8⋊9C4central extension (φ=1)128C2^2.62(C4oD8)128,651
C22.63(C4○D8) = C4.Q8⋊10C4central extension (φ=1)128C2^2.63(C4oD8)128,652
C22.64(C4○D8) = C2.D8⋊5C4central extension (φ=1)128C2^2.64(C4oD8)128,653
C22.65(C4○D8) = D4⋊C4⋊C4central extension (φ=1)64C2^2.65(C4oD8)128,657
C22.66(C4○D8) = C4.67(C4×D4)central extension (φ=1)64C2^2.66(C4oD8)128,658
C22.67(C4○D8) = C4.68(C4×D4)central extension (φ=1)128C2^2.67(C4oD8)128,659
C22.68(C4○D8) = C2.(C4×Q16)central extension (φ=1)128C2^2.68(C4oD8)128,660
C22.69(C4○D8) = C2.(C8⋊8D4)central extension (φ=1)128C2^2.69(C4oD8)128,665
C22.70(C4○D8) = C2.(C8⋊7D4)central extension (φ=1)64C2^2.70(C4oD8)128,666
C22.71(C4○D8) = C8⋊7(C4⋊C4)central extension (φ=1)128C2^2.71(C4oD8)128,673
C22.72(C4○D8) = C8⋊5(C4⋊C4)central extension (φ=1)128C2^2.72(C4oD8)128,674
C22.73(C4○D8) = C42.31Q8central extension (φ=1)128C2^2.73(C4oD8)128,681
C22.74(C4○D8) = C42.433D4central extension (φ=1)64C2^2.74(C4oD8)128,690
C22.75(C4○D8) = (C2×C4)⋊9SD16central extension (φ=1)64C2^2.75(C4oD8)128,700
C22.76(C4○D8) = (C2×C4)⋊6Q16central extension (φ=1)128C2^2.76(C4oD8)128,701
C22.77(C4○D8) = (C2×C4)⋊6D8central extension (φ=1)64C2^2.77(C4oD8)128,702
C22.78(C4○D8) = C42.119D4central extension (φ=1)64C2^2.78(C4oD8)128,715
C22.79(C4○D8) = C42.123D4central extension (φ=1)128C2^2.79(C4oD8)128,721
C22.80(C4○D8) = C42.437D4central extension (φ=1)128C2^2.80(C4oD8)128,723
C22.81(C4○D8) = C2×C23.24D4central extension (φ=1)64C2^2.81(C4oD8)128,1624
C22.82(C4○D8) = C2×C23.25D4central extension (φ=1)64C2^2.82(C4oD8)128,1641
C22.83(C4○D8) = C2×C4×D8central extension (φ=1)64C2^2.83(C4oD8)128,1668
C22.84(C4○D8) = C2×C4×SD16central extension (φ=1)64C2^2.84(C4oD8)128,1669
C22.85(C4○D8) = C2×C4×Q16central extension (φ=1)128C2^2.85(C4oD8)128,1670
C22.86(C4○D8) = C2×D4⋊D4central extension (φ=1)64C2^2.86(C4oD8)128,1732
C22.87(C4○D8) = C2×D4.7D4central extension (φ=1)64C2^2.87(C4oD8)128,1733
C22.88(C4○D8) = C2×D4.2D4central extension (φ=1)64C2^2.88(C4oD8)128,1763
C22.89(C4○D8) = C2×Q8.D4central extension (φ=1)64C2^2.89(C4oD8)128,1766
C22.90(C4○D8) = C2×C8⋊8D4central extension (φ=1)64C2^2.90(C4oD8)128,1779
C22.91(C4○D8) = C2×C8⋊7D4central extension (φ=1)64C2^2.91(C4oD8)128,1780
C22.92(C4○D8) = C2×C8.18D4central extension (φ=1)64C2^2.92(C4oD8)128,1781
C22.93(C4○D8) = C2×D4.Q8central extension (φ=1)64C2^2.93(C4oD8)128,1804
C22.94(C4○D8) = C2×Q8.Q8central extension (φ=1)128C2^2.94(C4oD8)128,1807
C22.95(C4○D8) = C2×C23.19D4central extension (φ=1)64C2^2.95(C4oD8)128,1819
C22.96(C4○D8) = C2×C23.20D4central extension (φ=1)64C2^2.96(C4oD8)128,1820
C22.97(C4○D8) = C2×C42.78C22central extension (φ=1)64C2^2.97(C4oD8)128,1862
C22.98(C4○D8) = C2×C8.12D4central extension (φ=1)64C2^2.98(C4oD8)128,1878
C22.99(C4○D8) = C2×C8.5Q8central extension (φ=1)128C2^2.99(C4oD8)128,1890
C22.100(C4○D8) = C23⋊2D8central stem extension (φ=1)64C2^2.100(C4oD8)128,731
C22.101(C4○D8) = C23⋊3SD16central stem extension (φ=1)64C2^2.101(C4oD8)128,732
C22.102(C4○D8) = C23⋊2Q16central stem extension (φ=1)64C2^2.102(C4oD8)128,733
C22.103(C4○D8) = (C22×D8).C2central stem extension (φ=1)64C2^2.103(C4oD8)128,744
C22.104(C4○D8) = (C2×C8).41D4central stem extension (φ=1)64C2^2.104(C4oD8)128,747
C22.105(C4○D8) = C4⋊C4.84D4central stem extension (φ=1)64C2^2.105(C4oD8)128,757
C22.106(C4○D8) = C4⋊C4.85D4central stem extension (φ=1)128C2^2.106(C4oD8)128,758
C22.107(C4○D8) = C24.83D4central stem extension (φ=1)64C2^2.107(C4oD8)128,765
C22.108(C4○D8) = C24.84D4central stem extension (φ=1)64C2^2.108(C4oD8)128,766
C22.109(C4○D8) = C24.85D4central stem extension (φ=1)64C2^2.109(C4oD8)128,767
C22.110(C4○D8) = C24.86D4central stem extension (φ=1)64C2^2.110(C4oD8)128,768
C22.111(C4○D8) = C4⋊C4.94D4central stem extension (φ=1)64C2^2.111(C4oD8)128,774
C22.112(C4○D8) = (C2×C4)⋊3D8central stem extension (φ=1)64C2^2.112(C4oD8)128,786
C22.113(C4○D8) = (C2×C4)⋊5SD16central stem extension (φ=1)64C2^2.113(C4oD8)128,787
C22.114(C4○D8) = (C2×C4)⋊3Q16central stem extension (φ=1)128C2^2.114(C4oD8)128,788
C22.115(C4○D8) = C2.(C8⋊Q8)central stem extension (φ=1)128C2^2.115(C4oD8)128,791
C22.116(C4○D8) = C4⋊C4.106D4central stem extension (φ=1)64C2^2.116(C4oD8)128,797
C22.117(C4○D8) = (C2×Q8).8Q8central stem extension (φ=1)128C2^2.117(C4oD8)128,798
C22.118(C4○D8) = (C2×C4).23D8central stem extension (φ=1)64C2^2.118(C4oD8)128,799
C22.119(C4○D8) = (C2×C8).52D4central stem extension (φ=1)128C2^2.119(C4oD8)128,800
C22.120(C4○D8) = C42⋊8C4⋊C2central stem extension (φ=1)64C2^2.120(C4oD8)128,805
C22.121(C4○D8) = (C2×Q8).109D4central stem extension (φ=1)128C2^2.121(C4oD8)128,806
C22.122(C4○D8) = C23.12D8central stem extension (φ=1)64C2^2.122(C4oD8)128,807
C22.123(C4○D8) = C24.88D4central stem extension (φ=1)64C2^2.123(C4oD8)128,808
C22.124(C4○D8) = C24.89D4central stem extension (φ=1)64C2^2.124(C4oD8)128,809
C22.125(C4○D8) = (C2×C8).24Q8central stem extension (φ=1)128C2^2.125(C4oD8)128,817
C22.126(C4○D8) = (C2×C4).26D8central stem extension (φ=1)128C2^2.126(C4oD8)128,818
C22.127(C4○D8) = (C2×C4).21Q16central stem extension (φ=1)128C2^2.127(C4oD8)128,819
C22.128(C4○D8) = C4.(C4⋊Q8)central stem extension (φ=1)128C2^2.128(C4oD8)128,820
C22.129(C4○D8) = (C2×C8).168D4central stem extension (φ=1)64C2^2.129(C4oD8)128,824
C22.130(C4○D8) = (C2×C8).171D4central stem extension (φ=1)128C2^2.130(C4oD8)128,829
C22.131(C4○D8) = C4⋊C4.Q8central stem extension (φ=1)128C2^2.131(C4oD8)128,833

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