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Extensions 1→N→G→Q→1 with N=C22 and Q=C2×Q16

Direct product G=N×Q with N=C22 and Q=C2×Q16
dρLabelID
C23×Q16128C2^3xQ16128,2308

Semidirect products G=N:Q with N=C22 and Q=C2×Q16
extensionφ:Q→Aut NdρLabelID
C22⋊1(C2×Q16) = C2×C8.18D4φ: C2×Q16/C2×C8 → C2 ⊆ Aut C2264C2^2:1(C2xQ16)128,1781
C22⋊2(C2×Q16) = D4×Q16φ: C2×Q16/Q16 → C2 ⊆ Aut C2264C2^2:2(C2xQ16)128,2018
C22⋊3(C2×Q16) = C2×C22⋊Q16φ: C2×Q16/C2×Q8 → C2 ⊆ Aut C2264C2^2:3(C2xQ16)128,1731

Non-split extensions G=N.Q with N=C22 and Q=C2×Q16
extensionφ:Q→Aut NdρLabelID
C22.1(C2×Q16) = C2×C8.4Q8φ: C2×Q16/C2×C8 → C2 ⊆ Aut C2264C2^2.1(C2xQ16)128,892
C22.2(C2×Q16) = M5(2).1C4φ: C2×Q16/C2×C8 → C2 ⊆ Aut C22324C2^2.2(C2xQ16)128,893
C22.3(C2×Q16) = C42.367D4φ: C2×Q16/C2×C8 → C2 ⊆ Aut C2264C2^2.3(C2xQ16)128,1902
C22.4(C2×Q16) = C42.297D4φ: C2×Q16/C2×C8 → C2 ⊆ Aut C2264C2^2.4(C2xQ16)128,1981
C22.5(C2×Q16) = D4⋊5Q16φ: C2×Q16/Q16 → C2 ⊆ Aut C2264C2^2.5(C2xQ16)128,2031
C22.6(C2×Q16) = D4⋊6Q16φ: C2×Q16/Q16 → C2 ⊆ Aut C2264C2^2.6(C2xQ16)128,2070
C22.7(C2×Q16) = C2×C23.31D4φ: C2×Q16/C2×Q8 → C2 ⊆ Aut C2232C2^2.7(C2xQ16)128,231
C22.8(C2×Q16) = C42.404D4φ: C2×Q16/C2×Q8 → C2 ⊆ Aut C2232C2^2.8(C2xQ16)128,235
C22.9(C2×Q16) = C42.62D4φ: C2×Q16/C2×Q8 → C2 ⊆ Aut C2232C2^2.9(C2xQ16)128,250
C22.10(C2×Q16) = C24.61D4φ: C2×Q16/C2×Q8 → C2 ⊆ Aut C2232C2^2.10(C2xQ16)128,252
C22.11(C2×Q16) = C23⋊Q16φ: C2×Q16/C2×Q8 → C2 ⊆ Aut C2232C2^2.11(C2xQ16)128,334
C22.12(C2×Q16) = (C2×C4)⋊Q16φ: C2×Q16/C2×Q8 → C2 ⊆ Aut C2232C2^2.12(C2xQ16)128,337
C22.13(C2×Q16) = C24.17D4φ: C2×Q16/C2×Q8 → C2 ⊆ Aut C2232C2^2.13(C2xQ16)128,346
C22.14(C2×Q16) = C4⋊C4.20D4φ: C2×Q16/C2×Q8 → C2 ⊆ Aut C2232C2^2.14(C2xQ16)128,349
C22.15(C2×Q16) = C2×C23.48D4φ: C2×Q16/C2×Q8 → C2 ⊆ Aut C2264C2^2.15(C2xQ16)128,1822
C22.16(C2×Q16) = C42.224D4φ: C2×Q16/C2×Q8 → C2 ⊆ Aut C2264C2^2.16(C2xQ16)128,1836
C22.17(C2×Q16) = C23⋊3Q16φ: C2×Q16/C2×Q8 → C2 ⊆ Aut C2232C2^2.17(C2xQ16)128,1921
C22.18(C2×Q16) = C42.267D4φ: C2×Q16/C2×Q8 → C2 ⊆ Aut C2264C2^2.18(C2xQ16)128,1941
C22.19(C2×Q16) = C42.282D4φ: C2×Q16/C2×Q8 → C2 ⊆ Aut C2264C2^2.19(C2xQ16)128,1962
C22.20(C2×Q16) = C2×C22.4Q16central extension (φ=1)128C2^2.20(C2xQ16)128,466
C22.21(C2×Q16) = C4×Q8⋊C4central extension (φ=1)128C2^2.21(C2xQ16)128,493
C22.22(C2×Q16) = C4×C2.D8central extension (φ=1)128C2^2.22(C2xQ16)128,507
C22.23(C2×Q16) = C24.155D4central extension (φ=1)64C2^2.23(C2xQ16)128,519
C22.24(C2×Q16) = C42.99D4central extension (φ=1)128C2^2.24(C2xQ16)128,535
C22.25(C2×Q16) = C23.22D8central extension (φ=1)64C2^2.25(C2xQ16)128,540
C22.26(C2×Q16) = C24.157D4central extension (φ=1)64C2^2.26(C2xQ16)128,556
C22.27(C2×Q16) = C42.55Q8central extension (φ=1)128C2^2.27(C2xQ16)128,566
C22.28(C2×Q16) = C42.59Q8central extension (φ=1)128C2^2.28(C2xQ16)128,577
C22.29(C2×Q16) = C23.37D8central extension (φ=1)64C2^2.29(C2xQ16)128,584
C22.30(C2×Q16) = Q8⋊(C4⋊C4)central extension (φ=1)128C2^2.30(C2xQ16)128,595
C22.31(C2×Q16) = C24.160D4central extension (φ=1)64C2^2.31(C2xQ16)128,604
C22.32(C2×Q16) = (C2×C4)⋊9Q16central extension (φ=1)128C2^2.32(C2xQ16)128,610
C22.33(C2×Q16) = C24.135D4central extension (φ=1)64C2^2.33(C2xQ16)128,624
C22.34(C2×Q16) = C2.D8⋊5C4central extension (φ=1)128C2^2.34(C2xQ16)128,653
C22.35(C2×Q16) = C2.(C4×Q16)central extension (φ=1)128C2^2.35(C2xQ16)128,660
C22.36(C2×Q16) = C2.(C8⋊8D4)central extension (φ=1)128C2^2.36(C2xQ16)128,665
C22.37(C2×Q16) = C8⋊5(C4⋊C4)central extension (φ=1)128C2^2.37(C2xQ16)128,674
C22.38(C2×Q16) = C42.29Q8central extension (φ=1)128C2^2.38(C2xQ16)128,679
C22.39(C2×Q16) = C42.431D4central extension (φ=1)128C2^2.39(C2xQ16)128,688
C22.40(C2×Q16) = (C2×C4)⋊6Q16central extension (φ=1)128C2^2.40(C2xQ16)128,701
C22.41(C2×Q16) = C42.117D4central extension (φ=1)128C2^2.41(C2xQ16)128,713
C22.42(C2×Q16) = C42.121D4central extension (φ=1)128C2^2.42(C2xQ16)128,719
C22.43(C2×Q16) = C42.436D4central extension (φ=1)128C2^2.43(C2xQ16)128,722
C22.44(C2×Q16) = C22×Q8⋊C4central extension (φ=1)128C2^2.44(C2xQ16)128,1623
C22.45(C2×Q16) = C22×C2.D8central extension (φ=1)128C2^2.45(C2xQ16)128,1640
C22.46(C2×Q16) = C2×C4×Q16central extension (φ=1)128C2^2.46(C2xQ16)128,1670
C22.47(C2×Q16) = C2×C4⋊2Q16central extension (φ=1)128C2^2.47(C2xQ16)128,1765
C22.48(C2×Q16) = C2×C4.Q16central extension (φ=1)128C2^2.48(C2xQ16)128,1806
C22.49(C2×Q16) = C2×C4.SD16central extension (φ=1)128C2^2.49(C2xQ16)128,1861
C22.50(C2×Q16) = C2×C4⋊Q16central extension (φ=1)128C2^2.50(C2xQ16)128,1877
C22.51(C2×Q16) = C2×C8⋊2Q8central extension (φ=1)128C2^2.51(C2xQ16)128,1891
C22.52(C2×Q16) = C23⋊2Q16central stem extension (φ=1)64C2^2.52(C2xQ16)128,733
C22.53(C2×Q16) = (C2×C4)⋊2Q16central stem extension (φ=1)128C2^2.53(C2xQ16)128,748
C22.54(C2×Q16) = (C2×Q8)⋊Q8central stem extension (φ=1)128C2^2.54(C2xQ16)128,756
C22.55(C2×Q16) = C24.86D4central stem extension (φ=1)64C2^2.55(C2xQ16)128,768
C22.56(C2×Q16) = C4⋊C4.95D4central stem extension (φ=1)128C2^2.56(C2xQ16)128,775
C22.57(C2×Q16) = (C2×C4)⋊3Q16central stem extension (φ=1)128C2^2.57(C2xQ16)128,788
C22.58(C2×Q16) = C4⋊C4⋊Q8central stem extension (φ=1)128C2^2.58(C2xQ16)128,789
C22.59(C2×Q16) = (C2×C8).52D4central stem extension (φ=1)128C2^2.59(C2xQ16)128,800
C22.60(C2×Q16) = (C2×C4).19Q16central stem extension (φ=1)128C2^2.60(C2xQ16)128,804
C22.61(C2×Q16) = C24.88D4central stem extension (φ=1)64C2^2.61(C2xQ16)128,808
C22.62(C2×Q16) = (C2×C8).1Q8central stem extension (φ=1)128C2^2.62(C2xQ16)128,815
C22.63(C2×Q16) = (C2×C4).21Q16central stem extension (φ=1)128C2^2.63(C2xQ16)128,819
C22.64(C2×Q16) = (C2×C8).60D4central stem extension (φ=1)128C2^2.64(C2xQ16)128,827
C22.65(C2×Q16) = (C2×C4).23Q16central stem extension (φ=1)128C2^2.65(C2xQ16)128,832

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