# Extensions 1→N→G→Q→1 with N=C4 and Q=C23×C14

Direct product G=N×Q with N=C4 and Q=C23×C14
dρLabelID
C24×C28448C2^4xC28448,1385

Semidirect products G=N:Q with N=C4 and Q=C23×C14
extensionφ:Q→Aut NdρLabelID
C4⋊(C23×C14) = D4×C22×C14φ: C23×C14/C22×C14C2 ⊆ Aut C4224C4:(C2^3xC14)448,1386

Non-split extensions G=N.Q with N=C4 and Q=C23×C14
extensionφ:Q→Aut NdρLabelID
C4.1(C23×C14) = D8×C2×C14φ: C23×C14/C22×C14C2 ⊆ Aut C4224C4.1(C2^3xC14)448,1352
C4.2(C23×C14) = SD16×C2×C14φ: C23×C14/C22×C14C2 ⊆ Aut C4224C4.2(C2^3xC14)448,1353
C4.3(C23×C14) = Q16×C2×C14φ: C23×C14/C22×C14C2 ⊆ Aut C4448C4.3(C2^3xC14)448,1354
C4.4(C23×C14) = C14×C4○D8φ: C23×C14/C22×C14C2 ⊆ Aut C4224C4.4(C2^3xC14)448,1355
C4.5(C23×C14) = C14×C8⋊C22φ: C23×C14/C22×C14C2 ⊆ Aut C4112C4.5(C2^3xC14)448,1356
C4.6(C23×C14) = C14×C8.C22φ: C23×C14/C22×C14C2 ⊆ Aut C4224C4.6(C2^3xC14)448,1357
C4.7(C23×C14) = C7×D8⋊C22φ: C23×C14/C22×C14C2 ⊆ Aut C41124C4.7(C2^3xC14)448,1358
C4.8(C23×C14) = C7×D4○D8φ: C23×C14/C22×C14C2 ⊆ Aut C41124C4.8(C2^3xC14)448,1359
C4.9(C23×C14) = C7×D4○SD16φ: C23×C14/C22×C14C2 ⊆ Aut C41124C4.9(C2^3xC14)448,1360
C4.10(C23×C14) = C7×Q8○D8φ: C23×C14/C22×C14C2 ⊆ Aut C42244C4.10(C2^3xC14)448,1361
C4.11(C23×C14) = Q8×C22×C14φ: C23×C14/C22×C14C2 ⊆ Aut C4448C4.11(C2^3xC14)448,1387
C4.12(C23×C14) = C4○D4×C2×C14φ: C23×C14/C22×C14C2 ⊆ Aut C4224C4.12(C2^3xC14)448,1388
C4.13(C23×C14) = C14×2+ 1+4φ: C23×C14/C22×C14C2 ⊆ Aut C4112C4.13(C2^3xC14)448,1389
C4.14(C23×C14) = C14×2- 1+4φ: C23×C14/C22×C14C2 ⊆ Aut C4224C4.14(C2^3xC14)448,1390
C4.15(C23×C14) = C7×C2.C25φ: C23×C14/C22×C14C2 ⊆ Aut C41124C4.15(C2^3xC14)448,1391
C4.16(C23×C14) = M4(2)×C2×C14central extension (φ=1)224C4.16(C2^3xC14)448,1349
C4.17(C23×C14) = C14×C8○D4central extension (φ=1)224C4.17(C2^3xC14)448,1350
C4.18(C23×C14) = C7×Q8○M4(2)central extension (φ=1)1124C4.18(C2^3xC14)448,1351

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