# Extensions 1→N→G→Q→1 with N=C14 and Q=C22×C6

Direct product G=N×Q with N=C14 and Q=C22×C6
dρLabelID
C23×C42336C2^3xC42336,228

Semidirect products G=N:Q with N=C14 and Q=C22×C6
extensionφ:Q→Aut NdρLabelID
C14⋊(C22×C6) = C23×F7φ: C22×C6/C22C6 ⊆ Aut C1456C14:(C2^2xC6)336,216
C142(C22×C6) = C24×C7⋊C3φ: C22×C6/C23C3 ⊆ Aut C14112C14:2(C2^2xC6)336,220
C143(C22×C6) = D7×C22×C6φ: C22×C6/C2×C6C2 ⊆ Aut C14168C14:3(C2^2xC6)336,225

Non-split extensions G=N.Q with N=C14 and Q=C22×C6
extensionφ:Q→Aut NdρLabelID
C14.1(C22×C6) = C2×C4.F7φ: C22×C6/C22C6 ⊆ Aut C14112C14.1(C2^2xC6)336,121
C14.2(C22×C6) = C2×C4×F7φ: C22×C6/C22C6 ⊆ Aut C1456C14.2(C2^2xC6)336,122
C14.3(C22×C6) = C2×C4⋊F7φ: C22×C6/C22C6 ⊆ Aut C1456C14.3(C2^2xC6)336,123
C14.4(C22×C6) = D286C6φ: C22×C6/C22C6 ⊆ Aut C14566C14.4(C2^2xC6)336,124
C14.5(C22×C6) = D4×F7φ: C22×C6/C22C6 ⊆ Aut C142812+C14.5(C2^2xC6)336,125
C14.6(C22×C6) = D42F7φ: C22×C6/C22C6 ⊆ Aut C145612-C14.6(C2^2xC6)336,126
C14.7(C22×C6) = Q8×F7φ: C22×C6/C22C6 ⊆ Aut C145612-C14.7(C2^2xC6)336,127
C14.8(C22×C6) = Q83F7φ: C22×C6/C22C6 ⊆ Aut C145612+C14.8(C2^2xC6)336,128
C14.9(C22×C6) = C22×C7⋊C12φ: C22×C6/C22C6 ⊆ Aut C14112C14.9(C2^2xC6)336,129
C14.10(C22×C6) = C2×Dic7⋊C6φ: C22×C6/C22C6 ⊆ Aut C1456C14.10(C2^2xC6)336,130
C14.11(C22×C6) = C22×C4×C7⋊C3φ: C22×C6/C23C3 ⊆ Aut C14112C14.11(C2^2xC6)336,164
C14.12(C22×C6) = C2×D4×C7⋊C3φ: C22×C6/C23C3 ⊆ Aut C1456C14.12(C2^2xC6)336,165
C14.13(C22×C6) = C2×Q8×C7⋊C3φ: C22×C6/C23C3 ⊆ Aut C14112C14.13(C2^2xC6)336,166
C14.14(C22×C6) = C4○D4×C7⋊C3φ: C22×C6/C23C3 ⊆ Aut C14566C14.14(C2^2xC6)336,167
C14.15(C22×C6) = C6×Dic14φ: C22×C6/C2×C6C2 ⊆ Aut C14336C14.15(C2^2xC6)336,174
C14.16(C22×C6) = D7×C2×C12φ: C22×C6/C2×C6C2 ⊆ Aut C14168C14.16(C2^2xC6)336,175
C14.17(C22×C6) = C6×D28φ: C22×C6/C2×C6C2 ⊆ Aut C14168C14.17(C2^2xC6)336,176
C14.18(C22×C6) = C3×C4○D28φ: C22×C6/C2×C6C2 ⊆ Aut C141682C14.18(C2^2xC6)336,177
C14.19(C22×C6) = C3×D4×D7φ: C22×C6/C2×C6C2 ⊆ Aut C14844C14.19(C2^2xC6)336,178
C14.20(C22×C6) = C3×D42D7φ: C22×C6/C2×C6C2 ⊆ Aut C141684C14.20(C2^2xC6)336,179
C14.21(C22×C6) = C3×Q8×D7φ: C22×C6/C2×C6C2 ⊆ Aut C141684C14.21(C2^2xC6)336,180
C14.22(C22×C6) = C3×Q82D7φ: C22×C6/C2×C6C2 ⊆ Aut C141684C14.22(C2^2xC6)336,181
C14.23(C22×C6) = C2×C6×Dic7φ: C22×C6/C2×C6C2 ⊆ Aut C14336C14.23(C2^2xC6)336,182
C14.24(C22×C6) = C6×C7⋊D4φ: C22×C6/C2×C6C2 ⊆ Aut C14168C14.24(C2^2xC6)336,183
C14.25(C22×C6) = D4×C42central extension (φ=1)168C14.25(C2^2xC6)336,205
C14.26(C22×C6) = Q8×C42central extension (φ=1)336C14.26(C2^2xC6)336,206
C14.27(C22×C6) = C4○D4×C21central extension (φ=1)1682C14.27(C2^2xC6)336,207

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