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Extensions 1→N→G→Q→1 with N=C22 and Q=D14⋊C4

Direct product G=N×Q with N=C22 and Q=D14⋊C4
dρLabelID
C22×D14⋊C4224C2^2xD14:C4448,1240

Semidirect products G=N:Q with N=C22 and Q=D14⋊C4
extensionφ:Q→Aut NdρLabelID
C22⋊1(D14⋊C4) = C23.45D28φ: D14⋊C4/C2×Dic7 → C2 ⊆ Aut C22224C2^2:1(D14:C4)448,492
C22⋊2(D14⋊C4) = C23.28D28φ: D14⋊C4/C2×C28 → C2 ⊆ Aut C22224C2^2:2(D14:C4)448,747
C22⋊3(D14⋊C4) = C23.44D28φ: D14⋊C4/C22×D7 → C2 ⊆ Aut C22112C2^2:3(D14:C4)448,489

Non-split extensions G=N.Q with N=C22 and Q=D14⋊C4
extensionφ:Q→Aut NdρLabelID
C22.1(D14⋊C4) = C4.(C2×D28)φ: D14⋊C4/C2×Dic7 → C2 ⊆ Aut C22224C2^2.1(D14:C4)448,536
C22.2(D14⋊C4) = (C2×D28).14C4φ: D14⋊C4/C2×Dic7 → C2 ⊆ Aut C22224C2^2.2(D14:C4)448,663
C22.3(D14⋊C4) = C23.49D28φ: D14⋊C4/C2×Dic7 → C2 ⊆ Aut C22224C2^2.3(D14:C4)448,667
C22.4(D14⋊C4) = C4○D28⋊C4φ: D14⋊C4/C2×C28 → C2 ⊆ Aut C22224C2^2.4(D14:C4)448,500
C22.5(D14⋊C4) = (C22×C8)⋊D7φ: D14⋊C4/C2×C28 → C2 ⊆ Aut C22224C2^2.5(D14:C4)448,644
C22.6(D14⋊C4) = C23.23D28φ: D14⋊C4/C2×C28 → C2 ⊆ Aut C22224C2^2.6(D14:C4)448,647
C22.7(D14⋊C4) = M4(2).31D14φ: D14⋊C4/C2×C28 → C2 ⊆ Aut C221124C2^2.7(D14:C4)448,666
C22.8(D14⋊C4) = C7⋊C2≀C4φ: D14⋊C4/C22×D7 → C2 ⊆ Aut C22568+C2^2.8(D14:C4)448,28
C22.9(D14⋊C4) = (C2×C28).D4φ: D14⋊C4/C22×D7 → C2 ⊆ Aut C221128-C2^2.9(D14:C4)448,29
C22.10(D14⋊C4) = C23.D28φ: D14⋊C4/C22×D7 → C2 ⊆ Aut C221128-C2^2.10(D14:C4)448,30
C22.11(D14⋊C4) = C23.2D28φ: D14⋊C4/C22×D7 → C2 ⊆ Aut C22568+C2^2.11(D14:C4)448,31
C22.12(D14⋊C4) = C23.3D28φ: D14⋊C4/C22×D7 → C2 ⊆ Aut C22568+C2^2.12(D14:C4)448,32
C22.13(D14⋊C4) = C23.4D28φ: D14⋊C4/C22×D7 → C2 ⊆ Aut C221128-C2^2.13(D14:C4)448,33
C22.14(D14⋊C4) = (C2×C4).D28φ: D14⋊C4/C22×D7 → C2 ⊆ Aut C221128+C2^2.14(D14:C4)448,34
C22.15(D14⋊C4) = (C2×Q8).D14φ: D14⋊C4/C22×D7 → C2 ⊆ Aut C221128-C2^2.15(D14:C4)448,35
C22.16(D14⋊C4) = C24.D14φ: D14⋊C4/C22×D7 → C2 ⊆ Aut C22112C2^2.16(D14:C4)448,83
C22.17(D14⋊C4) = C42⋊Dic7φ: D14⋊C4/C22×D7 → C2 ⊆ Aut C221124C2^2.17(D14:C4)448,88
C22.18(D14⋊C4) = C28.2C42φ: D14⋊C4/C22×D7 → C2 ⊆ Aut C22112C2^2.18(D14:C4)448,89
C22.19(D14⋊C4) = (C2×C56)⋊C4φ: D14⋊C4/C22×D7 → C2 ⊆ Aut C221124C2^2.19(D14:C4)448,113
C22.20(D14⋊C4) = C23.9D28φ: D14⋊C4/C22×D7 → C2 ⊆ Aut C221124C2^2.20(D14:C4)448,114
C22.21(D14⋊C4) = M4(2)⋊4Dic7φ: D14⋊C4/C22×D7 → C2 ⊆ Aut C221124C2^2.21(D14:C4)448,116
C22.22(D14⋊C4) = C23.42D28φ: D14⋊C4/C22×D7 → C2 ⊆ Aut C22224C2^2.22(D14:C4)448,477
C22.23(D14⋊C4) = C4⋊C4⋊36D14φ: D14⋊C4/C22×D7 → C2 ⊆ Aut C22112C2^2.23(D14:C4)448,535
C22.24(D14⋊C4) = (C2×C4).47D28φ: D14⋊C4/C22×D7 → C2 ⊆ Aut C22224C2^2.24(D14:C4)448,538
C22.25(D14⋊C4) = C42⋊4D14φ: D14⋊C4/C22×D7 → C2 ⊆ Aut C221124C2^2.25(D14:C4)448,539
C22.26(D14⋊C4) = C23.46D28φ: D14⋊C4/C22×D7 → C2 ⊆ Aut C22224C2^2.26(D14:C4)448,654
C22.27(D14⋊C4) = D14⋊6M4(2)φ: D14⋊C4/C22×D7 → C2 ⊆ Aut C22112C2^2.27(D14:C4)448,660
C22.28(D14⋊C4) = C23.48D28φ: D14⋊C4/C22×D7 → C2 ⊆ Aut C22112C2^2.28(D14:C4)448,665
C22.29(D14⋊C4) = C23.20D28φ: D14⋊C4/C22×D7 → C2 ⊆ Aut C221124C2^2.29(D14:C4)448,673
C22.30(D14⋊C4) = C4.8Dic28central extension (φ=1)448C2^2.30(D14:C4)448,13
C22.31(D14⋊C4) = C4.17D56central extension (φ=1)224C2^2.31(D14:C4)448,16
C22.32(D14⋊C4) = (C22×D7)⋊C8central extension (φ=1)112C2^2.32(D14:C4)448,25
C22.33(D14⋊C4) = (C2×Dic7)⋊C8central extension (φ=1)224C2^2.33(D14:C4)448,26
C22.34(D14⋊C4) = D28⋊2C8central extension (φ=1)224C2^2.34(D14:C4)448,40
C22.35(D14⋊C4) = Dic14⋊2C8central extension (φ=1)448C2^2.35(D14:C4)448,41
C22.36(D14⋊C4) = C28.8C42central extension (φ=1)112C2^2.36(D14:C4)448,80
C22.37(D14⋊C4) = C24.2D14central extension (φ=1)112C2^2.37(D14:C4)448,84
C22.38(D14⋊C4) = C28.C42central extension (φ=1)448C2^2.38(D14:C4)448,86
C22.39(D14⋊C4) = (C2×C56)⋊5C4central extension (φ=1)448C2^2.39(D14:C4)448,107
C22.40(D14⋊C4) = C28.9C42central extension (φ=1)448C2^2.40(D14:C4)448,108
C22.41(D14⋊C4) = M4(2)⋊Dic7central extension (φ=1)224C2^2.41(D14:C4)448,111
C22.42(D14⋊C4) = C28.3C42central extension (φ=1)112C2^2.42(D14:C4)448,112
C22.43(D14⋊C4) = C2×Dic14⋊C4central extension (φ=1)112C2^2.43(D14:C4)448,461
C22.44(D14⋊C4) = C2×C23.1D14central extension (φ=1)112C2^2.44(D14:C4)448,488
C22.45(D14⋊C4) = C2×C14.D8central extension (φ=1)224C2^2.45(D14:C4)448,499
C22.46(D14⋊C4) = C2×C14.Q16central extension (φ=1)448C2^2.46(D14:C4)448,503
C22.47(D14⋊C4) = C2×C28.44D4central extension (φ=1)448C2^2.47(D14:C4)448,637
C22.48(D14⋊C4) = C2×D14⋊C8central extension (φ=1)224C2^2.48(D14:C4)448,642
C22.49(D14⋊C4) = C2×C2.D56central extension (φ=1)224C2^2.49(D14:C4)448,646
C22.50(D14⋊C4) = C2×C28.46D4central extension (φ=1)112C2^2.50(D14:C4)448,664
C22.51(D14⋊C4) = C2×C4.12D28central extension (φ=1)224C2^2.51(D14:C4)448,670
C22.52(D14⋊C4) = C2×D28⋊4C4central extension (φ=1)112C2^2.52(D14:C4)448,672
C22.53(D14⋊C4) = C2×C14.C42central extension (φ=1)448C2^2.53(D14:C4)448,742
C22.54(D14⋊C4) = C14.C4≀C2central stem extension (φ=1)112C2^2.54(D14:C4)448,8
C22.55(D14⋊C4) = C4⋊Dic7⋊C4central stem extension (φ=1)112C2^2.55(D14:C4)448,9
C22.56(D14⋊C4) = C42.D14central stem extension (φ=1)224C2^2.56(D14:C4)448,21
C22.57(D14⋊C4) = C42.2D14central stem extension (φ=1)448C2^2.57(D14:C4)448,22
C22.58(D14⋊C4) = C23.30D28central stem extension (φ=1)112C2^2.58(D14:C4)448,24
C22.59(D14⋊C4) = C22.2D56central stem extension (φ=1)112C2^2.59(D14:C4)448,27
C22.60(D14⋊C4) = C4.Dic28central stem extension (φ=1)448C2^2.60(D14:C4)448,38
C22.61(D14⋊C4) = C28.47D8central stem extension (φ=1)448C2^2.61(D14:C4)448,39
C22.62(D14⋊C4) = C4.D56central stem extension (φ=1)224C2^2.62(D14:C4)448,42
C22.63(D14⋊C4) = C28.2D8central stem extension (φ=1)448C2^2.63(D14:C4)448,43

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