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Extensions 1→N→G→Q→1 with N=C2×C14 and Q=C2×C6

Direct product G=N×Q with N=C2×C14 and Q=C2×C6
dρLabelID
C23×C42336C2^3xC42336,228

Semidirect products G=N:Q with N=C2×C14 and Q=C2×C6
extensionφ:Q→Aut NdρLabelID
(C2×C14)⋊(C2×C6) = D4×F7φ: C2×C6/C1 → C2×C6 ⊆ Aut C2×C142812+(C2xC14):(C2xC6)336,125
(C2×C14)⋊2(C2×C6) = C2×A4×D7φ: C2×C6/C2 → C6 ⊆ Aut C2×C14426+(C2xC14):2(C2xC6)336,217
(C2×C14)⋊3(C2×C6) = C2×D7⋊A4φ: C2×C6/C2 → C6 ⊆ Aut C2×C14426+(C2xC14):3(C2xC6)336,218
(C2×C14)⋊4(C2×C6) = C2×Dic7⋊C6φ: C2×C6/C2 → C6 ⊆ Aut C2×C1456(C2xC14):4(C2xC6)336,130
(C2×C14)⋊5(C2×C6) = C23×F7φ: C2×C6/C2 → C6 ⊆ Aut C2×C1456(C2xC14):5(C2xC6)336,216
(C2×C14)⋊6(C2×C6) = C2×D4×C7⋊C3φ: C2×C6/C2 → C6 ⊆ Aut C2×C1456(C2xC14):6(C2xC6)336,165
(C2×C14)⋊7(C2×C6) = C3×D4×D7φ: C2×C6/C3 → C22 ⊆ Aut C2×C14844(C2xC14):7(C2xC6)336,178
(C2×C14)⋊8(C2×C6) = A4×C2×C14φ: C2×C6/C22 → C3 ⊆ Aut C2×C1484(C2xC14):8(C2xC6)336,221
(C2×C14)⋊9(C2×C6) = C22×C7⋊A4φ: C2×C6/C22 → C3 ⊆ Aut C2×C1484(C2xC14):9(C2xC6)336,222
(C2×C14)⋊10(C2×C6) = C24×C7⋊C3φ: C2×C6/C22 → C3 ⊆ Aut C2×C14112(C2xC14):10(C2xC6)336,220
(C2×C14)⋊11(C2×C6) = D4×C42φ: C2×C6/C6 → C2 ⊆ Aut C2×C14168(C2xC14):11(C2xC6)336,205
(C2×C14)⋊12(C2×C6) = C6×C7⋊D4φ: C2×C6/C6 → C2 ⊆ Aut C2×C14168(C2xC14):12(C2xC6)336,183
(C2×C14)⋊13(C2×C6) = D7×C22×C6φ: C2×C6/C6 → C2 ⊆ Aut C2×C14168(C2xC14):13(C2xC6)336,225

Non-split extensions G=N.Q with N=C2×C14 and Q=C2×C6
extensionφ:Q→Aut NdρLabelID
(C2×C14).(C2×C6) = D4⋊2F7φ: C2×C6/C1 → C2×C6 ⊆ Aut C2×C145612-(C2xC14).(C2xC6)336,126
(C2×C14).2(C2×C6) = C4×C7⋊C12φ: C2×C6/C2 → C6 ⊆ Aut C2×C14112(C2xC14).2(C2xC6)336,14
(C2×C14).3(C2×C6) = Dic7⋊C12φ: C2×C6/C2 → C6 ⊆ Aut C2×C14112(C2xC14).3(C2xC6)336,15
(C2×C14).4(C2×C6) = C28⋊C12φ: C2×C6/C2 → C6 ⊆ Aut C2×C14112(C2xC14).4(C2xC6)336,16
(C2×C14).5(C2×C6) = D14⋊C12φ: C2×C6/C2 → C6 ⊆ Aut C2×C1456(C2xC14).5(C2xC6)336,17
(C2×C14).6(C2×C6) = C23.2F7φ: C2×C6/C2 → C6 ⊆ Aut C2×C1456(C2xC14).6(C2xC6)336,22
(C2×C14).7(C2×C6) = C2×C4.F7φ: C2×C6/C2 → C6 ⊆ Aut C2×C14112(C2xC14).7(C2xC6)336,121
(C2×C14).8(C2×C6) = C2×C4×F7φ: C2×C6/C2 → C6 ⊆ Aut C2×C1456(C2xC14).8(C2xC6)336,122
(C2×C14).9(C2×C6) = C2×C4⋊F7φ: C2×C6/C2 → C6 ⊆ Aut C2×C1456(C2xC14).9(C2xC6)336,123
(C2×C14).10(C2×C6) = D28⋊6C6φ: C2×C6/C2 → C6 ⊆ Aut C2×C14566(C2xC14).10(C2xC6)336,124
(C2×C14).11(C2×C6) = C22×C7⋊C12φ: C2×C6/C2 → C6 ⊆ Aut C2×C14112(C2xC14).11(C2xC6)336,129
(C2×C14).12(C2×C6) = C4○D4×C7⋊C3φ: C2×C6/C2 → C6 ⊆ Aut C2×C14566(C2xC14).12(C2xC6)336,167
(C2×C14).13(C2×C6) = C3×D4⋊2D7φ: C2×C6/C3 → C22 ⊆ Aut C2×C141684(C2xC14).13(C2xC6)336,179
(C2×C14).14(C2×C6) = C42×C7⋊C3φ: C2×C6/C22 → C3 ⊆ Aut C2×C14112(C2xC14).14(C2xC6)336,48
(C2×C14).15(C2×C6) = C22⋊C4×C7⋊C3φ: C2×C6/C22 → C3 ⊆ Aut C2×C1456(C2xC14).15(C2xC6)336,49
(C2×C14).16(C2×C6) = C4⋊C4×C7⋊C3φ: C2×C6/C22 → C3 ⊆ Aut C2×C14112(C2xC14).16(C2xC6)336,50
(C2×C14).17(C2×C6) = C22×C4×C7⋊C3φ: C2×C6/C22 → C3 ⊆ Aut C2×C14112(C2xC14).17(C2xC6)336,164
(C2×C14).18(C2×C6) = C2×Q8×C7⋊C3φ: C2×C6/C22 → C3 ⊆ Aut C2×C14112(C2xC14).18(C2xC6)336,166
(C2×C14).19(C2×C6) = C4○D4×C21φ: C2×C6/C6 → C2 ⊆ Aut C2×C141682(C2xC14).19(C2xC6)336,207
(C2×C14).20(C2×C6) = C12×Dic7φ: C2×C6/C6 → C2 ⊆ Aut C2×C14336(C2xC14).20(C2xC6)336,65
(C2×C14).21(C2×C6) = C3×Dic7⋊C4φ: C2×C6/C6 → C2 ⊆ Aut C2×C14336(C2xC14).21(C2xC6)336,66
(C2×C14).22(C2×C6) = C3×C4⋊Dic7φ: C2×C6/C6 → C2 ⊆ Aut C2×C14336(C2xC14).22(C2xC6)336,67
(C2×C14).23(C2×C6) = C3×D14⋊C4φ: C2×C6/C6 → C2 ⊆ Aut C2×C14168(C2xC14).23(C2xC6)336,68
(C2×C14).24(C2×C6) = C3×C23.D7φ: C2×C6/C6 → C2 ⊆ Aut C2×C14168(C2xC14).24(C2xC6)336,73
(C2×C14).25(C2×C6) = C6×Dic14φ: C2×C6/C6 → C2 ⊆ Aut C2×C14336(C2xC14).25(C2xC6)336,174
(C2×C14).26(C2×C6) = D7×C2×C12φ: C2×C6/C6 → C2 ⊆ Aut C2×C14168(C2xC14).26(C2xC6)336,175
(C2×C14).27(C2×C6) = C6×D28φ: C2×C6/C6 → C2 ⊆ Aut C2×C14168(C2xC14).27(C2xC6)336,176
(C2×C14).28(C2×C6) = C3×C4○D28φ: C2×C6/C6 → C2 ⊆ Aut C2×C141682(C2xC14).28(C2xC6)336,177
(C2×C14).29(C2×C6) = C2×C6×Dic7φ: C2×C6/C6 → C2 ⊆ Aut C2×C14336(C2xC14).29(C2xC6)336,182
(C2×C14).30(C2×C6) = C22⋊C4×C21central extension (φ=1)168(C2xC14).30(C2xC6)336,107
(C2×C14).31(C2×C6) = C4⋊C4×C21central extension (φ=1)336(C2xC14).31(C2xC6)336,108
(C2×C14).32(C2×C6) = Q8×C42central extension (φ=1)336(C2xC14).32(C2xC6)336,206

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