# Extensions 1→N→G→Q→1 with N=C4 and Q=C22×C14

Direct product G=N×Q with N=C4 and Q=C22×C14
dρLabelID
C23×C28224C2^3xC28224,189

Semidirect products G=N:Q with N=C4 and Q=C22×C14
extensionφ:Q→Aut NdρLabelID
C4⋊(C22×C14) = D4×C2×C14φ: C22×C14/C2×C14C2 ⊆ Aut C4112C4:(C2^2xC14)224,190

Non-split extensions G=N.Q with N=C4 and Q=C22×C14
extensionφ:Q→Aut NdρLabelID
C4.1(C22×C14) = C14×D8φ: C22×C14/C2×C14C2 ⊆ Aut C4112C4.1(C2^2xC14)224,167
C4.2(C22×C14) = C14×SD16φ: C22×C14/C2×C14C2 ⊆ Aut C4112C4.2(C2^2xC14)224,168
C4.3(C22×C14) = C14×Q16φ: C22×C14/C2×C14C2 ⊆ Aut C4224C4.3(C2^2xC14)224,169
C4.4(C22×C14) = C7×C4○D8φ: C22×C14/C2×C14C2 ⊆ Aut C41122C4.4(C2^2xC14)224,170
C4.5(C22×C14) = C7×C8⋊C22φ: C22×C14/C2×C14C2 ⊆ Aut C4564C4.5(C2^2xC14)224,171
C4.6(C22×C14) = C7×C8.C22φ: C22×C14/C2×C14C2 ⊆ Aut C41124C4.6(C2^2xC14)224,172
C4.7(C22×C14) = Q8×C2×C14φ: C22×C14/C2×C14C2 ⊆ Aut C4224C4.7(C2^2xC14)224,191
C4.8(C22×C14) = C14×C4○D4φ: C22×C14/C2×C14C2 ⊆ Aut C4112C4.8(C2^2xC14)224,192
C4.9(C22×C14) = C7×2+ 1+4φ: C22×C14/C2×C14C2 ⊆ Aut C4564C4.9(C2^2xC14)224,193
C4.10(C22×C14) = C7×2- 1+4φ: C22×C14/C2×C14C2 ⊆ Aut C41124C4.10(C2^2xC14)224,194
C4.11(C22×C14) = C14×M4(2)central extension (φ=1)112C4.11(C2^2xC14)224,165
C4.12(C22×C14) = C7×C8○D4central extension (φ=1)1122C4.12(C2^2xC14)224,166

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