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

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

Semidirect products G=N:Q with N=C6 and Q=C22×C14
extensionφ:Q→Aut NdρLabelID
C6⋊(C22×C14) = S3×C22×C14φ: C22×C14/C2×C14C2 ⊆ Aut C6168C6:(C2^2xC14)336,226

Non-split extensions G=N.Q with N=C6 and Q=C22×C14
extensionφ:Q→Aut NdρLabelID
C6.1(C22×C14) = C14×Dic6φ: C22×C14/C2×C14C2 ⊆ Aut C6336C6.1(C2^2xC14)336,184
C6.2(C22×C14) = S3×C2×C28φ: C22×C14/C2×C14C2 ⊆ Aut C6168C6.2(C2^2xC14)336,185
C6.3(C22×C14) = C14×D12φ: C22×C14/C2×C14C2 ⊆ Aut C6168C6.3(C2^2xC14)336,186
C6.4(C22×C14) = C7×C4○D12φ: C22×C14/C2×C14C2 ⊆ Aut C61682C6.4(C2^2xC14)336,187
C6.5(C22×C14) = S3×C7×D4φ: C22×C14/C2×C14C2 ⊆ Aut C6844C6.5(C2^2xC14)336,188
C6.6(C22×C14) = C7×D42S3φ: C22×C14/C2×C14C2 ⊆ Aut C61684C6.6(C2^2xC14)336,189
C6.7(C22×C14) = S3×C7×Q8φ: C22×C14/C2×C14C2 ⊆ Aut C61684C6.7(C2^2xC14)336,190
C6.8(C22×C14) = C7×Q83S3φ: C22×C14/C2×C14C2 ⊆ Aut C61684C6.8(C2^2xC14)336,191
C6.9(C22×C14) = Dic3×C2×C14φ: C22×C14/C2×C14C2 ⊆ Aut C6336C6.9(C2^2xC14)336,192
C6.10(C22×C14) = C14×C3⋊D4φ: C22×C14/C2×C14C2 ⊆ Aut C6168C6.10(C2^2xC14)336,193
C6.11(C22×C14) = D4×C42central extension (φ=1)168C6.11(C2^2xC14)336,205
C6.12(C22×C14) = Q8×C42central extension (φ=1)336C6.12(C2^2xC14)336,206
C6.13(C22×C14) = C4○D4×C21central extension (φ=1)1682C6.13(C2^2xC14)336,207

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