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Extensions 1→N→G→Q→1 with N=C14 and Q=C2×C12

Direct product G=N×Q with N=C14 and Q=C2×C12
dρLabelID
C22×C84336C2^2xC84336,204

Semidirect products G=N:Q with N=C14 and Q=C2×C12
extensionφ:Q→Aut NdρLabelID
C14⋊1(C2×C12) = C2×C4×F7φ: C2×C12/C4 → C6 ⊆ Aut C1456C14:1(C2xC12)336,122
C14⋊2(C2×C12) = C22×C7⋊C12φ: C2×C12/C22 → C6 ⊆ Aut C14112C14:2(C2xC12)336,129
C14⋊3(C2×C12) = C22×C4×C7⋊C3φ: C2×C12/C2×C4 → C3 ⊆ Aut C14112C14:3(C2xC12)336,164
C14⋊4(C2×C12) = D7×C2×C12φ: C2×C12/C12 → C2 ⊆ Aut C14168C14:4(C2xC12)336,175
C14⋊5(C2×C12) = C2×C6×Dic7φ: C2×C12/C2×C6 → C2 ⊆ Aut C14336C14:5(C2xC12)336,182

Non-split extensions G=N.Q with N=C14 and Q=C2×C12
extensionφ:Q→Aut NdρLabelID
C14.1(C2×C12) = C8×F7φ: C2×C12/C4 → C6 ⊆ Aut C14566C14.1(C2xC12)336,7
C14.2(C2×C12) = C8⋊F7φ: C2×C12/C4 → C6 ⊆ Aut C14566C14.2(C2xC12)336,8
C14.3(C2×C12) = C4×C7⋊C12φ: C2×C12/C4 → C6 ⊆ Aut C14112C14.3(C2xC12)336,14
C14.4(C2×C12) = Dic7⋊C12φ: C2×C12/C4 → C6 ⊆ Aut C14112C14.4(C2xC12)336,15
C14.5(C2×C12) = D14⋊C12φ: C2×C12/C4 → C6 ⊆ Aut C1456C14.5(C2xC12)336,17
C14.6(C2×C12) = C2×C7⋊C24φ: C2×C12/C22 → C6 ⊆ Aut C14112C14.6(C2xC12)336,12
C14.7(C2×C12) = C28.C12φ: C2×C12/C22 → C6 ⊆ Aut C14566C14.7(C2xC12)336,13
C14.8(C2×C12) = C28⋊C12φ: C2×C12/C22 → C6 ⊆ Aut C14112C14.8(C2xC12)336,16
C14.9(C2×C12) = C23.2F7φ: C2×C12/C22 → C6 ⊆ Aut C1456C14.9(C2xC12)336,22
C14.10(C2×C12) = C42×C7⋊C3φ: C2×C12/C2×C4 → C3 ⊆ Aut C14112C14.10(C2xC12)336,48
C14.11(C2×C12) = C22⋊C4×C7⋊C3φ: C2×C12/C2×C4 → C3 ⊆ Aut C1456C14.11(C2xC12)336,49
C14.12(C2×C12) = C4⋊C4×C7⋊C3φ: C2×C12/C2×C4 → C3 ⊆ Aut C14112C14.12(C2xC12)336,50
C14.13(C2×C12) = C2×C8×C7⋊C3φ: C2×C12/C2×C4 → C3 ⊆ Aut C14112C14.13(C2xC12)336,51
C14.14(C2×C12) = M4(2)×C7⋊C3φ: C2×C12/C2×C4 → C3 ⊆ Aut C14566C14.14(C2xC12)336,52
C14.15(C2×C12) = D7×C24φ: C2×C12/C12 → C2 ⊆ Aut C141682C14.15(C2xC12)336,58
C14.16(C2×C12) = C3×C8⋊D7φ: C2×C12/C12 → C2 ⊆ Aut C141682C14.16(C2xC12)336,59
C14.17(C2×C12) = C3×Dic7⋊C4φ: C2×C12/C12 → C2 ⊆ Aut C14336C14.17(C2xC12)336,66
C14.18(C2×C12) = C3×D14⋊C4φ: C2×C12/C12 → C2 ⊆ Aut C14168C14.18(C2xC12)336,68
C14.19(C2×C12) = C6×C7⋊C8φ: C2×C12/C2×C6 → C2 ⊆ Aut C14336C14.19(C2xC12)336,63
C14.20(C2×C12) = C3×C4.Dic7φ: C2×C12/C2×C6 → C2 ⊆ Aut C141682C14.20(C2xC12)336,64
C14.21(C2×C12) = C12×Dic7φ: C2×C12/C2×C6 → C2 ⊆ Aut C14336C14.21(C2xC12)336,65
C14.22(C2×C12) = C3×C4⋊Dic7φ: C2×C12/C2×C6 → C2 ⊆ Aut C14336C14.22(C2xC12)336,67
C14.23(C2×C12) = C3×C23.D7φ: C2×C12/C2×C6 → C2 ⊆ Aut C14168C14.23(C2xC12)336,73
C14.24(C2×C12) = C22⋊C4×C21central extension (φ=1)168C14.24(C2xC12)336,107
C14.25(C2×C12) = C4⋊C4×C21central extension (φ=1)336C14.25(C2xC12)336,108
C14.26(C2×C12) = M4(2)×C21central extension (φ=1)1682C14.26(C2xC12)336,110

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