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Extensions 1→N→G→Q→1 with N=C14 and Q=C23⋊C4

Direct product G=N×Q with N=C14 and Q=C23⋊C4
dρLabelID
C14×C23⋊C4112C14xC2^3:C4448,817

Semidirect products G=N:Q with N=C14 and Q=C23⋊C4
extensionφ:Q→Aut NdρLabelID
C14⋊1(C23⋊C4) = C2×C23.1D14φ: C23⋊C4/C22⋊C4 → C2 ⊆ Aut C14112C14:1(C2^3:C4)448,488
C14⋊2(C23⋊C4) = C2×C23⋊Dic7φ: C23⋊C4/C2×D4 → C2 ⊆ Aut C14112C14:2(C2^3:C4)448,753

Non-split extensions G=N.Q with N=C14 and Q=C23⋊C4
extensionφ:Q→Aut NdρLabelID
C14.1(C23⋊C4) = C14.C4≀C2φ: C23⋊C4/C22⋊C4 → C2 ⊆ Aut C14112C14.1(C2^3:C4)448,8
C14.2(C23⋊C4) = C4⋊Dic7⋊C4φ: C23⋊C4/C22⋊C4 → C2 ⊆ Aut C14112C14.2(C2^3:C4)448,9
C14.3(C23⋊C4) = C23.30D28φ: C23⋊C4/C22⋊C4 → C2 ⊆ Aut C14112C14.3(C2^3:C4)448,24
C14.4(C23⋊C4) = (C22×D7)⋊C8φ: C23⋊C4/C22⋊C4 → C2 ⊆ Aut C14112C14.4(C2^3:C4)448,25
C14.5(C23⋊C4) = (C2×Dic7)⋊C8φ: C23⋊C4/C22⋊C4 → C2 ⊆ Aut C14224C14.5(C2^3:C4)448,26
C14.6(C23⋊C4) = C22.2D56φ: C23⋊C4/C22⋊C4 → C2 ⊆ Aut C14112C14.6(C2^3:C4)448,27
C14.7(C23⋊C4) = C7⋊C2≀C4φ: C23⋊C4/C22⋊C4 → C2 ⊆ Aut C14568+C14.7(C2^3:C4)448,28
C14.8(C23⋊C4) = (C2×C28).D4φ: C23⋊C4/C22⋊C4 → C2 ⊆ Aut C141128-C14.8(C2^3:C4)448,29
C14.9(C23⋊C4) = C23.D28φ: C23⋊C4/C22⋊C4 → C2 ⊆ Aut C141128-C14.9(C2^3:C4)448,30
C14.10(C23⋊C4) = C23.2D28φ: C23⋊C4/C22⋊C4 → C2 ⊆ Aut C14568+C14.10(C2^3:C4)448,31
C14.11(C23⋊C4) = C23.3D28φ: C23⋊C4/C22⋊C4 → C2 ⊆ Aut C14568+C14.11(C2^3:C4)448,32
C14.12(C23⋊C4) = C23.4D28φ: C23⋊C4/C22⋊C4 → C2 ⊆ Aut C141128-C14.12(C2^3:C4)448,33
C14.13(C23⋊C4) = (C2×C4).D28φ: C23⋊C4/C22⋊C4 → C2 ⊆ Aut C141128+C14.13(C2^3:C4)448,34
C14.14(C23⋊C4) = (C2×Q8).D14φ: C23⋊C4/C22⋊C4 → C2 ⊆ Aut C141128-C14.14(C2^3:C4)448,35
C14.15(C23⋊C4) = C24.2D14φ: C23⋊C4/C22⋊C4 → C2 ⊆ Aut C14112C14.15(C2^3:C4)448,84
C14.16(C23⋊C4) = C24.Dic7φ: C23⋊C4/C2×D4 → C2 ⊆ Aut C14112C14.16(C2^3:C4)448,82
C14.17(C23⋊C4) = C24.D14φ: C23⋊C4/C2×D4 → C2 ⊆ Aut C14112C14.17(C2^3:C4)448,83
C14.18(C23⋊C4) = (C2×C28)⋊C8φ: C23⋊C4/C2×D4 → C2 ⊆ Aut C14224C14.18(C2^3:C4)448,85
C14.19(C23⋊C4) = C24⋊Dic7φ: C23⋊C4/C2×D4 → C2 ⊆ Aut C14564C14.19(C2^3:C4)448,93
C14.20(C23⋊C4) = (D4×C14)⋊C4φ: C23⋊C4/C2×D4 → C2 ⊆ Aut C14112C14.20(C2^3:C4)448,94
C14.21(C23⋊C4) = C4⋊C4⋊Dic7φ: C23⋊C4/C2×D4 → C2 ⊆ Aut C14112C14.21(C2^3:C4)448,95
C14.22(C23⋊C4) = (C22×C28)⋊C4φ: C23⋊C4/C2×D4 → C2 ⊆ Aut C141124C14.22(C2^3:C4)448,96
C14.23(C23⋊C4) = C42⋊2Dic7φ: C23⋊C4/C2×D4 → C2 ⊆ Aut C141124C14.23(C2^3:C4)448,98
C14.24(C23⋊C4) = C42.Dic7φ: C23⋊C4/C2×D4 → C2 ⊆ Aut C141124C14.24(C2^3:C4)448,99
C14.25(C23⋊C4) = C42⋊3Dic7φ: C23⋊C4/C2×D4 → C2 ⊆ Aut C14564C14.25(C2^3:C4)448,102
C14.26(C23⋊C4) = C42.3Dic7φ: C23⋊C4/C2×D4 → C2 ⊆ Aut C141124C14.26(C2^3:C4)448,105
C14.27(C23⋊C4) = C7×C23⋊C8central extension (φ=1)112C14.27(C2^3:C4)448,127
C14.28(C23⋊C4) = C7×C22.M4(2)central extension (φ=1)224C14.28(C2^3:C4)448,128
C14.29(C23⋊C4) = C7×C22.SD16central extension (φ=1)112C14.29(C2^3:C4)448,131
C14.30(C23⋊C4) = C7×C23.31D4central extension (φ=1)112C14.30(C2^3:C4)448,132
C14.31(C23⋊C4) = C7×C23.9D4central extension (φ=1)112C14.31(C2^3:C4)448,146
C14.32(C23⋊C4) = C7×C2≀C4central extension (φ=1)564C14.32(C2^3:C4)448,155
C14.33(C23⋊C4) = C7×C23.D4central extension (φ=1)1124C14.33(C2^3:C4)448,156
C14.34(C23⋊C4) = C7×C42⋊C4central extension (φ=1)564C14.34(C2^3:C4)448,157
C14.35(C23⋊C4) = C7×C42⋊3C4central extension (φ=1)1124C14.35(C2^3:C4)448,158
C14.36(C23⋊C4) = C7×C42.C4central extension (φ=1)1124C14.36(C2^3:C4)448,159
C14.37(C23⋊C4) = C7×C42.3C4central extension (φ=1)1124C14.37(C2^3:C4)448,160

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