# Extensions 1→N→G→Q→1 with N=D14 and Q=C2×C6

Direct product G=N×Q with N=D14 and Q=C2×C6
dρLabelID
D7×C22×C6168D7xC2^2xC6336,225

Semidirect products G=N:Q with N=D14 and Q=C2×C6
extensionφ:Q→Out NdρLabelID
D141(C2×C6) = C2×C4⋊F7φ: C2×C6/C2C6 ⊆ Out D1456D14:1(C2xC6)336,123
D142(C2×C6) = D4×F7φ: C2×C6/C2C6 ⊆ Out D142812+D14:2(C2xC6)336,125
D143(C2×C6) = C2×Dic7⋊C6φ: C2×C6/C2C6 ⊆ Out D1456D14:3(C2xC6)336,130
D144(C2×C6) = C23×F7φ: C2×C6/C22C3 ⊆ Out D1456D14:4(C2xC6)336,216
D145(C2×C6) = C6×D28φ: C2×C6/C6C2 ⊆ Out D14168D14:5(C2xC6)336,176
D146(C2×C6) = C3×D4×D7φ: C2×C6/C6C2 ⊆ Out D14844D14:6(C2xC6)336,178
D147(C2×C6) = C6×C7⋊D4φ: C2×C6/C6C2 ⊆ Out D14168D14:7(C2xC6)336,183

Non-split extensions G=N.Q with N=D14 and Q=C2×C6
extensionφ:Q→Out NdρLabelID
D14.1(C2×C6) = D286C6φ: C2×C6/C2C6 ⊆ Out D14566D14.1(C2xC6)336,124
D14.2(C2×C6) = D42F7φ: C2×C6/C2C6 ⊆ Out D145612-D14.2(C2xC6)336,126
D14.3(C2×C6) = Q83F7φ: C2×C6/C2C6 ⊆ Out D145612+D14.3(C2xC6)336,128
D14.4(C2×C6) = C2×C4×F7φ: C2×C6/C22C3 ⊆ Out D1456D14.4(C2xC6)336,122
D14.5(C2×C6) = Q8×F7φ: C2×C6/C22C3 ⊆ Out D145612-D14.5(C2xC6)336,127
D14.6(C2×C6) = C3×C4○D28φ: C2×C6/C6C2 ⊆ Out D141682D14.6(C2xC6)336,177
D14.7(C2×C6) = C3×D42D7φ: C2×C6/C6C2 ⊆ Out D141684D14.7(C2xC6)336,179
D14.8(C2×C6) = C3×Q82D7φ: C2×C6/C6C2 ⊆ Out D141684D14.8(C2xC6)336,181
D14.9(C2×C6) = D7×C2×C12φ: trivial image168D14.9(C2xC6)336,175
D14.10(C2×C6) = C3×Q8×D7φ: trivial image1684D14.10(C2xC6)336,180

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