# Extensions 1→N→G→Q→1 with N=C14 and Q=C3×D4

Direct product G=N×Q with N=C14 and Q=C3×D4
dρLabelID
D4×C42168D4xC42336,205

Semidirect products G=N:Q with N=C14 and Q=C3×D4
extensionφ:Q→Aut NdρLabelID
C141(C3×D4) = C2×C4⋊F7φ: C3×D4/C4C6 ⊆ Aut C1456C14:1(C3xD4)336,123
C142(C3×D4) = C2×Dic7⋊C6φ: C3×D4/C22C6 ⊆ Aut C1456C14:2(C3xD4)336,130
C143(C3×D4) = C2×D4×C7⋊C3φ: C3×D4/D4C3 ⊆ Aut C1456C14:3(C3xD4)336,165
C144(C3×D4) = C6×D28φ: C3×D4/C12C2 ⊆ Aut C14168C14:4(C3xD4)336,176
C145(C3×D4) = C6×C7⋊D4φ: C3×D4/C2×C6C2 ⊆ Aut C14168C14:5(C3xD4)336,183

Non-split extensions G=N.Q with N=C14 and Q=C3×D4
extensionφ:Q→Aut NdρLabelID
C14.1(C3×D4) = C56⋊C6φ: C3×D4/C4C6 ⊆ Aut C14566C14.1(C3xD4)336,9
C14.2(C3×D4) = D56⋊C3φ: C3×D4/C4C6 ⊆ Aut C14566+C14.2(C3xD4)336,10
C14.3(C3×D4) = C8.F7φ: C3×D4/C4C6 ⊆ Aut C141126-C14.3(C3xD4)336,11
C14.4(C3×D4) = C28⋊C12φ: C3×D4/C4C6 ⊆ Aut C14112C14.4(C3xD4)336,16
C14.5(C3×D4) = Dic7⋊C12φ: C3×D4/C22C6 ⊆ Aut C14112C14.5(C3xD4)336,15
C14.6(C3×D4) = D14⋊C12φ: C3×D4/C22C6 ⊆ Aut C1456C14.6(C3xD4)336,17
C14.7(C3×D4) = D4⋊F7φ: C3×D4/C22C6 ⊆ Aut C145612+C14.7(C3xD4)336,18
C14.8(C3×D4) = D4.F7φ: C3×D4/C22C6 ⊆ Aut C145612-C14.8(C3xD4)336,19
C14.9(C3×D4) = Q82F7φ: C3×D4/C22C6 ⊆ Aut C145612+C14.9(C3xD4)336,20
C14.10(C3×D4) = Q8.2F7φ: C3×D4/C22C6 ⊆ Aut C1411212-C14.10(C3xD4)336,21
C14.11(C3×D4) = C23.2F7φ: C3×D4/C22C6 ⊆ Aut C1456C14.11(C3xD4)336,22
C14.12(C3×D4) = C22⋊C4×C7⋊C3φ: C3×D4/D4C3 ⊆ Aut C1456C14.12(C3xD4)336,49
C14.13(C3×D4) = C4⋊C4×C7⋊C3φ: C3×D4/D4C3 ⊆ Aut C14112C14.13(C3xD4)336,50
C14.14(C3×D4) = D8×C7⋊C3φ: C3×D4/D4C3 ⊆ Aut C14566C14.14(C3xD4)336,53
C14.15(C3×D4) = SD16×C7⋊C3φ: C3×D4/D4C3 ⊆ Aut C14566C14.15(C3xD4)336,54
C14.16(C3×D4) = Q16×C7⋊C3φ: C3×D4/D4C3 ⊆ Aut C141126C14.16(C3xD4)336,55
C14.17(C3×D4) = C3×C56⋊C2φ: C3×D4/C12C2 ⊆ Aut C141682C14.17(C3xD4)336,60
C14.18(C3×D4) = C3×D56φ: C3×D4/C12C2 ⊆ Aut C141682C14.18(C3xD4)336,61
C14.19(C3×D4) = C3×Dic28φ: C3×D4/C12C2 ⊆ Aut C143362C14.19(C3xD4)336,62
C14.20(C3×D4) = C3×C4⋊Dic7φ: C3×D4/C12C2 ⊆ Aut C14336C14.20(C3xD4)336,67
C14.21(C3×D4) = C3×Dic7⋊C4φ: C3×D4/C2×C6C2 ⊆ Aut C14336C14.21(C3xD4)336,66
C14.22(C3×D4) = C3×D14⋊C4φ: C3×D4/C2×C6C2 ⊆ Aut C14168C14.22(C3xD4)336,68
C14.23(C3×D4) = C3×D4⋊D7φ: C3×D4/C2×C6C2 ⊆ Aut C141684C14.23(C3xD4)336,69
C14.24(C3×D4) = C3×D4.D7φ: C3×D4/C2×C6C2 ⊆ Aut C141684C14.24(C3xD4)336,70
C14.25(C3×D4) = C3×Q8⋊D7φ: C3×D4/C2×C6C2 ⊆ Aut C141684C14.25(C3xD4)336,71
C14.26(C3×D4) = C3×C7⋊Q16φ: C3×D4/C2×C6C2 ⊆ Aut C143364C14.26(C3xD4)336,72
C14.27(C3×D4) = C3×C23.D7φ: C3×D4/C2×C6C2 ⊆ Aut C14168C14.27(C3xD4)336,73
C14.28(C3×D4) = C22⋊C4×C21central extension (φ=1)168C14.28(C3xD4)336,107
C14.29(C3×D4) = C4⋊C4×C21central extension (φ=1)336C14.29(C3xD4)336,108
C14.30(C3×D4) = D8×C21central extension (φ=1)1682C14.30(C3xD4)336,111
C14.31(C3×D4) = SD16×C21central extension (φ=1)1682C14.31(C3xD4)336,112
C14.32(C3×D4) = Q16×C21central extension (φ=1)3362C14.32(C3xD4)336,113

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