# Extensions 1→N→G→Q→1 with N=C24 and Q=C2×C14

Direct product G=N×Q with N=C24 and Q=C2×C14
dρLabelID
C25×C14448C2^5xC14448,1396

Semidirect products G=N:Q with N=C24 and Q=C2×C14
extensionφ:Q→Aut NdρLabelID
C24⋊(C2×C14) = C23×F8φ: C2×C14/C22C7 ⊆ Aut C2456C2^4:(C2xC14)448,1392
C242(C2×C14) = C7×C2≀C22φ: C2×C14/C7C22 ⊆ Aut C24564C2^4:2(C2xC14)448,865
C243(C2×C14) = C7×C233D4φ: C2×C14/C7C22 ⊆ Aut C24112C2^4:3(C2xC14)448,1317
C244(C2×C14) = C7×D42φ: C2×C14/C7C22 ⊆ Aut C24112C2^4:4(C2xC14)448,1328
C245(C2×C14) = C7×C24⋊C22φ: C2×C14/C7C22 ⊆ Aut C24112C2^4:5(C2xC14)448,1344
C246(C2×C14) = C14×2+ 1+4φ: C2×C14/C7C22 ⊆ Aut C24112C2^4:6(C2xC14)448,1389
C247(C2×C14) = C14×C22≀C2φ: C2×C14/C14C2 ⊆ Aut C24112C2^4:7(C2xC14)448,1304
C248(C2×C14) = D4×C22×C14φ: C2×C14/C14C2 ⊆ Aut C24224C2^4:8(C2xC14)448,1386

Non-split extensions G=N.Q with N=C24 and Q=C2×C14
extensionφ:Q→Aut NdρLabelID
C24.1(C2×C14) = C2×C4×F8φ: C2×C14/C22C7 ⊆ Aut C2456C2^4.1(C2xC14)448,1362
C24.2(C2×C14) = D4×F8φ: C2×C14/C22C7 ⊆ Aut C242814+C2^4.2(C2xC14)448,1363
C24.3(C2×C14) = Q8×F8φ: C2×C14/C22C7 ⊆ Aut C245614-C2^4.3(C2xC14)448,1364
C24.4(C2×C14) = C7×C23.9D4φ: C2×C14/C7C22 ⊆ Aut C24112C2^4.4(C2xC14)448,146
C24.5(C2×C14) = C7×C24.C22φ: C2×C14/C7C22 ⊆ Aut C24224C2^4.5(C2xC14)448,796
C24.6(C2×C14) = C7×C24.3C22φ: C2×C14/C7C22 ⊆ Aut C24224C2^4.6(C2xC14)448,798
C24.7(C2×C14) = C7×C232D4φ: C2×C14/C7C22 ⊆ Aut C24224C2^4.7(C2xC14)448,800
C24.8(C2×C14) = C7×C23⋊Q8φ: C2×C14/C7C22 ⊆ Aut C24224C2^4.8(C2xC14)448,801
C24.9(C2×C14) = C7×C23.10D4φ: C2×C14/C7C22 ⊆ Aut C24224C2^4.9(C2xC14)448,802
C24.10(C2×C14) = C7×C23.Q8φ: C2×C14/C7C22 ⊆ Aut C24224C2^4.10(C2xC14)448,804
C24.11(C2×C14) = C7×C23.11D4φ: C2×C14/C7C22 ⊆ Aut C24224C2^4.11(C2xC14)448,805
C24.12(C2×C14) = C7×C23.4Q8φ: C2×C14/C7C22 ⊆ Aut C24224C2^4.12(C2xC14)448,807
C24.13(C2×C14) = C14×C23⋊C4φ: C2×C14/C7C22 ⊆ Aut C24112C2^4.13(C2xC14)448,817
C24.14(C2×C14) = C7×C22.11C24φ: C2×C14/C7C22 ⊆ Aut C24112C2^4.14(C2xC14)448,1301
C24.15(C2×C14) = C14×C4⋊D4φ: C2×C14/C7C22 ⊆ Aut C24224C2^4.15(C2xC14)448,1305
C24.16(C2×C14) = C14×C4.4D4φ: C2×C14/C7C22 ⊆ Aut C24224C2^4.16(C2xC14)448,1309
C24.17(C2×C14) = C14×C422C2φ: C2×C14/C7C22 ⊆ Aut C24224C2^4.17(C2xC14)448,1311
C24.18(C2×C14) = C14×C41D4φ: C2×C14/C7C22 ⊆ Aut C24224C2^4.18(C2xC14)448,1313
C24.19(C2×C14) = C7×C22.29C24φ: C2×C14/C7C22 ⊆ Aut C24112C2^4.19(C2xC14)448,1318
C24.20(C2×C14) = C7×C22.32C24φ: C2×C14/C7C22 ⊆ Aut C24112C2^4.20(C2xC14)448,1321
C24.21(C2×C14) = C7×C232Q8φ: C2×C14/C7C22 ⊆ Aut C24112C2^4.21(C2xC14)448,1326
C24.22(C2×C14) = C7×D45D4φ: C2×C14/C7C22 ⊆ Aut C24112C2^4.22(C2xC14)448,1329
C24.23(C2×C14) = C7×C22.45C24φ: C2×C14/C7C22 ⊆ Aut C24112C2^4.23(C2xC14)448,1334
C24.24(C2×C14) = C7×C22.54C24φ: C2×C14/C7C22 ⊆ Aut C24112C2^4.24(C2xC14)448,1343
C24.25(C2×C14) = C22⋊C4×C28φ: C2×C14/C14C2 ⊆ Aut C24224C2^4.25(C2xC14)448,785
C24.26(C2×C14) = C7×C243C4φ: C2×C14/C14C2 ⊆ Aut C24112C2^4.26(C2xC14)448,787
C24.27(C2×C14) = C7×C23.7Q8φ: C2×C14/C14C2 ⊆ Aut C24224C2^4.27(C2xC14)448,788
C24.28(C2×C14) = C7×C23.34D4φ: C2×C14/C14C2 ⊆ Aut C24224C2^4.28(C2xC14)448,789
C24.29(C2×C14) = C7×C23.8Q8φ: C2×C14/C14C2 ⊆ Aut C24224C2^4.29(C2xC14)448,793
C24.30(C2×C14) = C7×C23.23D4φ: C2×C14/C14C2 ⊆ Aut C24224C2^4.30(C2xC14)448,794
C24.31(C2×C14) = C22⋊C4×C2×C14φ: C2×C14/C14C2 ⊆ Aut C24224C2^4.31(C2xC14)448,1295
C24.32(C2×C14) = C14×C42⋊C2φ: C2×C14/C14C2 ⊆ Aut C24224C2^4.32(C2xC14)448,1297
C24.33(C2×C14) = D4×C2×C28φ: C2×C14/C14C2 ⊆ Aut C24224C2^4.33(C2xC14)448,1298
C24.34(C2×C14) = C14×C22⋊Q8φ: C2×C14/C14C2 ⊆ Aut C24224C2^4.34(C2xC14)448,1306
C24.35(C2×C14) = C14×C22.D4φ: C2×C14/C14C2 ⊆ Aut C24224C2^4.35(C2xC14)448,1307
C24.36(C2×C14) = C7×C22.19C24φ: C2×C14/C14C2 ⊆ Aut C24112C2^4.36(C2xC14)448,1308
C24.37(C2×C14) = C4○D4×C2×C14φ: C2×C14/C14C2 ⊆ Aut C24224C2^4.37(C2xC14)448,1388
C24.38(C2×C14) = C14×C2.C42central extension (φ=1)448C2^4.38(C2xC14)448,783
C24.39(C2×C14) = C4⋊C4×C2×C14central extension (φ=1)448C2^4.39(C2xC14)448,1296
C24.40(C2×C14) = Q8×C22×C14central extension (φ=1)448C2^4.40(C2xC14)448,1387

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