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Extensions 1→N→G→Q→1 with N=C4 and Q=C42.C2

Direct product G=N×Q with N=C4 and Q=C42.C2
dρLabelID
C4×C42.C2128C4xC4^2.C2128,1037

Semidirect products G=N:Q with N=C4 and Q=C42.C2
extensionφ:Q→Aut NdρLabelID
C4⋊1(C42.C2) = C43.15C2φ: C42.C2/C42 → C2 ⊆ Aut C4128C4:1(C4^2.C2)128,1591
C4⋊2(C42.C2) = C23.406C24φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C4128C4:2(C4^2.C2)128,1238
C4⋊3(C42.C2) = C42.35Q8φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C4128C4:3(C4^2.C2)128,1284

Non-split extensions G=N.Q with N=C4 and Q=C42.C2
extensionφ:Q→Aut NdρLabelID
C4.1(C42.C2) = C42.55Q8φ: C42.C2/C42 → C2 ⊆ Aut C4128C4.1(C4^2.C2)128,566
C4.2(C42.C2) = C42.56Q8φ: C42.C2/C42 → C2 ⊆ Aut C4128C4.2(C4^2.C2)128,567
C4.3(C42.C2) = C42.24Q8φ: C42.C2/C42 → C2 ⊆ Aut C4128C4.3(C4^2.C2)128,568
C4.4(C42.C2) = C8⋊7(C4⋊C4)φ: C42.C2/C42 → C2 ⊆ Aut C4128C4.4(C4^2.C2)128,673
C4.5(C42.C2) = C8⋊5(C4⋊C4)φ: C42.C2/C42 → C2 ⊆ Aut C4128C4.5(C4^2.C2)128,674
C4.6(C42.C2) = C4.(C4×Q8)φ: C42.C2/C42 → C2 ⊆ Aut C4128C4.6(C4^2.C2)128,675
C4.7(C42.C2) = C8⋊(C4⋊C4)φ: C42.C2/C42 → C2 ⊆ Aut C4128C4.7(C4^2.C2)128,676
C4.8(C42.C2) = C42.39Q8φ: C42.C2/C42 → C2 ⊆ Aut C4128C4.8(C4^2.C2)128,1379
C4.9(C42.C2) = C43.18C2φ: C42.C2/C42 → C2 ⊆ Aut C4128C4.9(C4^2.C2)128,1596
C4.10(C42.C2) = C8.(C4⋊C4)φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C4324C4.10(C4^2.C2)128,565
C4.11(C42.C2) = C2.D8⋊4C4φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C4128C4.11(C4^2.C2)128,650
C4.12(C42.C2) = C4.Q8⋊9C4φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C4128C4.12(C4^2.C2)128,651
C4.13(C42.C2) = C4.Q8⋊10C4φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C4128C4.13(C4^2.C2)128,652
C4.14(C42.C2) = C2.D8⋊5C4φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C4128C4.14(C4^2.C2)128,653
C4.15(C42.C2) = C42.29Q8φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C4128C4.15(C4^2.C2)128,679
C4.16(C42.C2) = C42.30Q8φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C4128C4.16(C4^2.C2)128,680
C4.17(C42.C2) = C42.31Q8φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C4128C4.17(C4^2.C2)128,681
C4.18(C42.C2) = M4(2).27D4φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C4324C4.18(C4^2.C2)128,685
C4.19(C42.C2) = (C2×C8).1Q8φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C4128C4.19(C4^2.C2)128,815
C4.20(C42.C2) = C2.(C8⋊3Q8)φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C4128C4.20(C4^2.C2)128,816
C4.21(C42.C2) = (C2×C8).24Q8φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C4128C4.21(C4^2.C2)128,817
C4.22(C42.C2) = (C2×C4).26D8φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C4128C4.22(C4^2.C2)128,818
C4.23(C42.C2) = (C2×C4).21Q16φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C4128C4.23(C4^2.C2)128,819
C4.24(C42.C2) = C4.(C4⋊Q8)φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C4128C4.24(C4^2.C2)128,820
C4.25(C42.C2) = (C2×C4).28D8φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C4128C4.25(C4^2.C2)128,831
C4.26(C42.C2) = (C2×C4).23Q16φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C4128C4.26(C4^2.C2)128,832
C4.27(C42.C2) = C4⋊C4.Q8φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C4128C4.27(C4^2.C2)128,833
C4.28(C42.C2) = C42.32Q8φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C4164C4.28(C4^2.C2)128,834
C4.29(C42.C2) = C23.407C24φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C4128C4.29(C4^2.C2)128,1239
C4.30(C42.C2) = C23.408C24φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C4128C4.30(C4^2.C2)128,1240
C4.31(C42.C2) = C23.409C24φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C4128C4.31(C4^2.C2)128,1241
C4.32(C42.C2) = C42.36Q8φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C4128C4.32(C4^2.C2)128,1302
C4.33(C42.C2) = C42.37Q8φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C4128C4.33(C4^2.C2)128,1303
C4.34(C42.C2) = C42⋊8C8central extension (φ=1)128C4.34(C4^2.C2)128,563
C4.35(C42.C2) = C42.23Q8central extension (φ=1)128C4.35(C4^2.C2)128,564
C4.36(C42.C2) = C4⋊C4⋊3C8central extension (φ=1)128C4.36(C4^2.C2)128,648
C4.37(C42.C2) = (C2×C8).Q8central extension (φ=1)128C4.37(C4^2.C2)128,649
C4.38(C42.C2) = C42.61Q8central extension (φ=1)128C4.38(C4^2.C2)128,671
C4.39(C42.C2) = C42.27Q8central extension (φ=1)128C4.39(C4^2.C2)128,672
C4.40(C42.C2) = C42.34Q8central extension (φ=1)128C4.40(C4^2.C2)128,1134

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