# Extensions 1→N→G→Q→1 with N=C4 and Q=C23×D7

Direct product G=N×Q with N=C4 and Q=C23×D7
dρLabelID
D7×C23×C4224D7xC2^3xC4448,1366

Semidirect products G=N:Q with N=C4 and Q=C23×D7
extensionφ:Q→Aut NdρLabelID
C41(C23×D7) = C22×D4×D7φ: C23×D7/C22×D7C2 ⊆ Aut C4112C4:1(C2^3xD7)448,1369
C42(C23×D7) = C23×D28φ: C23×D7/C22×C14C2 ⊆ Aut C4224C4:2(C2^3xD7)448,1367

Non-split extensions G=N.Q with N=C4 and Q=C23×D7
extensionφ:Q→Aut NdρLabelID
C4.1(C23×D7) = C2×D7×D8φ: C23×D7/C22×D7C2 ⊆ Aut C4112C4.1(C2^3xD7)448,1207
C4.2(C23×D7) = C2×D8⋊D7φ: C23×D7/C22×D7C2 ⊆ Aut C4112C4.2(C2^3xD7)448,1208
C4.3(C23×D7) = C2×D83D7φ: C23×D7/C22×D7C2 ⊆ Aut C4224C4.3(C2^3xD7)448,1209
C4.4(C23×D7) = D813D14φ: C23×D7/C22×D7C2 ⊆ Aut C41124C4.4(C2^3xD7)448,1210
C4.5(C23×D7) = C2×D7×SD16φ: C23×D7/C22×D7C2 ⊆ Aut C4112C4.5(C2^3xD7)448,1211
C4.6(C23×D7) = C2×D56⋊C2φ: C23×D7/C22×D7C2 ⊆ Aut C4112C4.6(C2^3xD7)448,1212
C4.7(C23×D7) = C2×SD16⋊D7φ: C23×D7/C22×D7C2 ⊆ Aut C4224C4.7(C2^3xD7)448,1213
C4.8(C23×D7) = C2×SD163D7φ: C23×D7/C22×D7C2 ⊆ Aut C4224C4.8(C2^3xD7)448,1214
C4.9(C23×D7) = D28.29D4φ: C23×D7/C22×D7C2 ⊆ Aut C41124C4.9(C2^3xD7)448,1215
C4.10(C23×D7) = C2×D7×Q16φ: C23×D7/C22×D7C2 ⊆ Aut C4224C4.10(C2^3xD7)448,1216
C4.11(C23×D7) = C2×Q16⋊D7φ: C23×D7/C22×D7C2 ⊆ Aut C4224C4.11(C2^3xD7)448,1217
C4.12(C23×D7) = C2×Q8.D14φ: C23×D7/C22×D7C2 ⊆ Aut C4224C4.12(C2^3xD7)448,1218
C4.13(C23×D7) = D28.30D4φ: C23×D7/C22×D7C2 ⊆ Aut C42244C4.13(C2^3xD7)448,1219
C4.14(C23×D7) = D7×C4○D8φ: C23×D7/C22×D7C2 ⊆ Aut C41124C4.14(C2^3xD7)448,1220
C4.15(C23×D7) = D810D14φ: C23×D7/C22×D7C2 ⊆ Aut C41124C4.15(C2^3xD7)448,1221
C4.16(C23×D7) = D815D14φ: C23×D7/C22×D7C2 ⊆ Aut C41124+C4.16(C2^3xD7)448,1222
C4.17(C23×D7) = D811D14φ: C23×D7/C22×D7C2 ⊆ Aut C41124C4.17(C2^3xD7)448,1223
C4.18(C23×D7) = D8.10D14φ: C23×D7/C22×D7C2 ⊆ Aut C42244-C4.18(C2^3xD7)448,1224
C4.19(C23×D7) = D7×C8⋊C22φ: C23×D7/C22×D7C2 ⊆ Aut C4568+C4.19(C2^3xD7)448,1225
C4.20(C23×D7) = SD16⋊D14φ: C23×D7/C22×D7C2 ⊆ Aut C41128-C4.20(C2^3xD7)448,1226
C4.21(C23×D7) = D85D14φ: C23×D7/C22×D7C2 ⊆ Aut C41128+C4.21(C2^3xD7)448,1227
C4.22(C23×D7) = D86D14φ: C23×D7/C22×D7C2 ⊆ Aut C41128-C4.22(C2^3xD7)448,1228
C4.23(C23×D7) = D7×C8.C22φ: C23×D7/C22×D7C2 ⊆ Aut C41128-C4.23(C2^3xD7)448,1229
C4.24(C23×D7) = D56⋊C22φ: C23×D7/C22×D7C2 ⊆ Aut C41128+C4.24(C2^3xD7)448,1230
C4.25(C23×D7) = C56.C23φ: C23×D7/C22×D7C2 ⊆ Aut C41128+C4.25(C2^3xD7)448,1231
C4.26(C23×D7) = D28.44D4φ: C23×D7/C22×D7C2 ⊆ Aut C42248-C4.26(C2^3xD7)448,1232
C4.27(C23×D7) = C22×D4⋊D7φ: C23×D7/C22×D7C2 ⊆ Aut C4224C4.27(C2^3xD7)448,1245
C4.28(C23×D7) = C2×D4.D14φ: C23×D7/C22×D7C2 ⊆ Aut C4112C4.28(C2^3xD7)448,1246
C4.29(C23×D7) = C22×D4.D7φ: C23×D7/C22×D7C2 ⊆ Aut C4224C4.29(C2^3xD7)448,1247
C4.30(C23×D7) = C22×Q8⋊D7φ: C23×D7/C22×D7C2 ⊆ Aut C4224C4.30(C2^3xD7)448,1260
C4.31(C23×D7) = C2×C28.C23φ: C23×D7/C22×D7C2 ⊆ Aut C4224C4.31(C2^3xD7)448,1261
C4.32(C23×D7) = C22×C7⋊Q16φ: C23×D7/C22×D7C2 ⊆ Aut C4448C4.32(C2^3xD7)448,1262
C4.33(C23×D7) = C2×D4⋊D14φ: C23×D7/C22×D7C2 ⊆ Aut C4112C4.33(C2^3xD7)448,1273
C4.34(C23×D7) = C2×D4.8D14φ: C23×D7/C22×D7C2 ⊆ Aut C4224C4.34(C2^3xD7)448,1274
C4.35(C23×D7) = C28.C24φ: C23×D7/C22×D7C2 ⊆ Aut C41124C4.35(C2^3xD7)448,1275
C4.36(C23×D7) = C2×D4.9D14φ: C23×D7/C22×D7C2 ⊆ Aut C4224C4.36(C2^3xD7)448,1276
C4.37(C23×D7) = D28.32C23φ: C23×D7/C22×D7C2 ⊆ Aut C41128+C4.37(C2^3xD7)448,1288
C4.38(C23×D7) = D28.33C23φ: C23×D7/C22×D7C2 ⊆ Aut C41128-C4.38(C2^3xD7)448,1289
C4.39(C23×D7) = D28.34C23φ: C23×D7/C22×D7C2 ⊆ Aut C41128+C4.39(C2^3xD7)448,1290
C4.40(C23×D7) = D28.35C23φ: C23×D7/C22×D7C2 ⊆ Aut C42248-C4.40(C2^3xD7)448,1291
C4.41(C23×D7) = C22×D42D7φ: C23×D7/C22×D7C2 ⊆ Aut C4224C4.41(C2^3xD7)448,1370
C4.42(C23×D7) = C2×D46D14φ: C23×D7/C22×D7C2 ⊆ Aut C4112C4.42(C2^3xD7)448,1371
C4.43(C23×D7) = C22×Q8×D7φ: C23×D7/C22×D7C2 ⊆ Aut C4224C4.43(C2^3xD7)448,1372
C4.44(C23×D7) = C22×Q82D7φ: C23×D7/C22×D7C2 ⊆ Aut C4224C4.44(C2^3xD7)448,1373
C4.45(C23×D7) = C2×Q8.10D14φ: C23×D7/C22×D7C2 ⊆ Aut C4224C4.45(C2^3xD7)448,1374
C4.46(C23×D7) = C14.C25φ: C23×D7/C22×D7C2 ⊆ Aut C41124C4.46(C2^3xD7)448,1378
C4.47(C23×D7) = D7×2+ 1+4φ: C23×D7/C22×D7C2 ⊆ Aut C4568+C4.47(C2^3xD7)448,1379
C4.48(C23×D7) = D14.C24φ: C23×D7/C22×D7C2 ⊆ Aut C41128-C4.48(C2^3xD7)448,1380
C4.49(C23×D7) = D7×2- 1+4φ: C23×D7/C22×D7C2 ⊆ Aut C41128-C4.49(C2^3xD7)448,1381
C4.50(C23×D7) = D28.39C23φ: C23×D7/C22×D7C2 ⊆ Aut C41128+C4.50(C2^3xD7)448,1382
C4.51(C23×D7) = C22×C56⋊C2φ: C23×D7/C22×C14C2 ⊆ Aut C4224C4.51(C2^3xD7)448,1192
C4.52(C23×D7) = C22×D56φ: C23×D7/C22×C14C2 ⊆ Aut C4224C4.52(C2^3xD7)448,1193
C4.53(C23×D7) = C2×D567C2φ: C23×D7/C22×C14C2 ⊆ Aut C4224C4.53(C2^3xD7)448,1194
C4.54(C23×D7) = C22×Dic28φ: C23×D7/C22×C14C2 ⊆ Aut C4448C4.54(C2^3xD7)448,1195
C4.55(C23×D7) = C2×C8⋊D14φ: C23×D7/C22×C14C2 ⊆ Aut C4112C4.55(C2^3xD7)448,1199
C4.56(C23×D7) = C2×C8.D14φ: C23×D7/C22×C14C2 ⊆ Aut C4224C4.56(C2^3xD7)448,1200
C4.57(C23×D7) = C56.9C23φ: C23×D7/C22×C14C2 ⊆ Aut C41124C4.57(C2^3xD7)448,1201
C4.58(C23×D7) = D4.11D28φ: C23×D7/C22×C14C2 ⊆ Aut C41124C4.58(C2^3xD7)448,1204
C4.59(C23×D7) = D4.12D28φ: C23×D7/C22×C14C2 ⊆ Aut C41124+C4.59(C2^3xD7)448,1205
C4.60(C23×D7) = D4.13D28φ: C23×D7/C22×C14C2 ⊆ Aut C42244-C4.60(C2^3xD7)448,1206
C4.61(C23×D7) = C23×Dic14φ: C23×D7/C22×C14C2 ⊆ Aut C4448C4.61(C2^3xD7)448,1365
C4.62(C23×D7) = C2×D48D14φ: C23×D7/C22×C14C2 ⊆ Aut C4112C4.62(C2^3xD7)448,1376
C4.63(C23×D7) = C2×D4.10D14φ: C23×D7/C22×C14C2 ⊆ Aut C4224C4.63(C2^3xD7)448,1377
C4.64(C23×D7) = D7×C22×C8central extension (φ=1)224C4.64(C2^3xD7)448,1189
C4.65(C23×D7) = C22×C8⋊D7central extension (φ=1)224C4.65(C2^3xD7)448,1190
C4.66(C23×D7) = C2×D28.2C4central extension (φ=1)224C4.66(C2^3xD7)448,1191
C4.67(C23×D7) = C2×D7×M4(2)central extension (φ=1)112C4.67(C2^3xD7)448,1196
C4.68(C23×D7) = C2×D28.C4central extension (φ=1)224C4.68(C2^3xD7)448,1197
C4.69(C23×D7) = C28.70C24central extension (φ=1)1124C4.69(C2^3xD7)448,1198
C4.70(C23×D7) = D7×C8○D4central extension (φ=1)1124C4.70(C2^3xD7)448,1202
C4.71(C23×D7) = C56.49C23central extension (φ=1)1124C4.71(C2^3xD7)448,1203
C4.72(C23×D7) = C23×C7⋊C8central extension (φ=1)448C4.72(C2^3xD7)448,1233
C4.73(C23×D7) = C22×C4.Dic7central extension (φ=1)224C4.73(C2^3xD7)448,1234
C4.74(C23×D7) = C2×Q8.Dic7central extension (φ=1)224C4.74(C2^3xD7)448,1271
C4.75(C23×D7) = C28.76C24central extension (φ=1)1124C4.75(C2^3xD7)448,1272
C4.76(C23×D7) = C22×C4○D28central extension (φ=1)224C4.76(C2^3xD7)448,1368
C4.77(C23×D7) = C2×D7×C4○D4central extension (φ=1)112C4.77(C2^3xD7)448,1375

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