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Extensions 1→N→G→Q→1 with N=C14 and Q=C22×Q8

Direct product G=N×Q with N=C14 and Q=C22×Q8
dρLabelID
Q8×C22×C14448Q8xC2^2xC14448,1387

Semidirect products G=N:Q with N=C14 and Q=C22×Q8
extensionφ:Q→Aut NdρLabelID
C14⋊1(C22×Q8) = C23×Dic14φ: C22×Q8/C22×C4 → C2 ⊆ Aut C14448C14:1(C2^2xQ8)448,1365
C14⋊2(C22×Q8) = C22×Q8×D7φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C14224C14:2(C2^2xQ8)448,1372

Non-split extensions G=N.Q with N=C14 and Q=C22×Q8
extensionφ:Q→Aut NdρLabelID
C14.1(C22×Q8) = C2×C4×Dic14φ: C22×Q8/C22×C4 → C2 ⊆ Aut C14448C14.1(C2^2xQ8)448,920
C14.2(C22×Q8) = C2×C28⋊2Q8φ: C22×Q8/C22×C4 → C2 ⊆ Aut C14448C14.2(C2^2xQ8)448,921
C14.3(C22×Q8) = C2×C28.6Q8φ: C22×Q8/C22×C4 → C2 ⊆ Aut C14448C14.3(C2^2xQ8)448,922
C14.4(C22×Q8) = C42.274D14φ: C22×Q8/C22×C4 → C2 ⊆ Aut C14224C14.4(C2^2xQ8)448,923
C14.5(C22×Q8) = C2×C22⋊Dic14φ: C22×Q8/C22×C4 → C2 ⊆ Aut C14224C14.5(C2^2xQ8)448,934
C14.6(C22×Q8) = C23⋊2Dic14φ: C22×Q8/C22×C4 → C2 ⊆ Aut C14112C14.6(C2^2xQ8)448,936
C14.7(C22×Q8) = C2×C28⋊Q8φ: C22×Q8/C22×C4 → C2 ⊆ Aut C14448C14.7(C2^2xQ8)448,950
C14.8(C22×Q8) = C2×C28.3Q8φ: C22×Q8/C22×C4 → C2 ⊆ Aut C14448C14.8(C2^2xQ8)448,952
C14.9(C22×Q8) = C14.72+ 1+4φ: C22×Q8/C22×C4 → C2 ⊆ Aut C14224C14.9(C2^2xQ8)448,953
C14.10(C22×Q8) = C42.88D14φ: C22×Q8/C22×C4 → C2 ⊆ Aut C14224C14.10(C2^2xQ8)448,970
C14.11(C22×Q8) = C42.90D14φ: C22×Q8/C22×C4 → C2 ⊆ Aut C14224C14.11(C2^2xQ8)448,972
C14.12(C22×Q8) = D4×Dic14φ: C22×Q8/C22×C4 → C2 ⊆ Aut C14224C14.12(C2^2xQ8)448,990
C14.13(C22×Q8) = D4⋊5Dic14φ: C22×Q8/C22×C4 → C2 ⊆ Aut C14224C14.13(C2^2xQ8)448,992
C14.14(C22×Q8) = D4⋊6Dic14φ: C22×Q8/C22×C4 → C2 ⊆ Aut C14224C14.14(C2^2xQ8)448,996
C14.15(C22×Q8) = Q8×Dic14φ: C22×Q8/C22×C4 → C2 ⊆ Aut C14448C14.15(C2^2xQ8)448,1019
C14.16(C22×Q8) = Q8⋊5Dic14φ: C22×Q8/C22×C4 → C2 ⊆ Aut C14448C14.16(C2^2xQ8)448,1022
C14.17(C22×Q8) = Q8⋊6Dic14φ: C22×Q8/C22×C4 → C2 ⊆ Aut C14448C14.17(C2^2xQ8)448,1023
C14.18(C22×Q8) = C22×Dic7⋊C4φ: C22×Q8/C22×C4 → C2 ⊆ Aut C14448C14.18(C2^2xQ8)448,1236
C14.19(C22×Q8) = C2×C28.48D4φ: C22×Q8/C22×C4 → C2 ⊆ Aut C14224C14.19(C2^2xQ8)448,1237
C14.20(C22×Q8) = C22×C4⋊Dic7φ: C22×Q8/C22×C4 → C2 ⊆ Aut C14448C14.20(C2^2xQ8)448,1238
C14.21(C22×Q8) = C2×Dic7⋊3Q8φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C14448C14.21(C2^2xQ8)448,949
C14.22(C22×Q8) = C2×Dic7.Q8φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C14448C14.22(C2^2xQ8)448,951
C14.23(C22×Q8) = C2×D7×C4⋊C4φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C14224C14.23(C2^2xQ8)448,954
C14.24(C22×Q8) = C2×D14⋊Q8φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C14224C14.24(C2^2xQ8)448,961
C14.25(C22×Q8) = C2×D14⋊2Q8φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C14224C14.25(C2^2xQ8)448,962
C14.26(C22×Q8) = C14.102+ 1+4φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C14224C14.26(C2^2xQ8)448,964
C14.27(C22×Q8) = Dic14⋊10Q8φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C14448C14.27(C2^2xQ8)448,1020
C14.28(C22×Q8) = C4×Q8×D7φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C14224C14.28(C2^2xQ8)448,1024
C14.29(C22×Q8) = Q8×D28φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C14224C14.29(C2^2xQ8)448,1028
C14.30(C22×Q8) = C42.232D14φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C14224C14.30(C2^2xQ8)448,1031
C14.31(C22×Q8) = D28⋊10Q8φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C14224C14.31(C2^2xQ8)448,1032
C14.32(C22×Q8) = (Q8×Dic7)⋊C2φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C14224C14.32(C2^2xQ8)448,1075
C14.33(C22×Q8) = C14.752- 1+4φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C14224C14.33(C2^2xQ8)448,1076
C14.34(C22×Q8) = D7×C22⋊Q8φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C14112C14.34(C2^2xQ8)448,1079
C14.35(C22×Q8) = Dic14⋊21D4φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C14224C14.35(C2^2xQ8)448,1085
C14.36(C22×Q8) = C14.512+ 1+4φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C14112C14.36(C2^2xQ8)448,1087
C14.37(C22×Q8) = C14.1182+ 1+4φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C14224C14.37(C2^2xQ8)448,1088
C14.38(C22×Q8) = C14.522+ 1+4φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C14224C14.38(C2^2xQ8)448,1089
C14.39(C22×Q8) = Dic14⋊7Q8φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C14448C14.39(C2^2xQ8)448,1138
C14.40(C22×Q8) = D7×C42.C2φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C14224C14.40(C2^2xQ8)448,1140
C14.41(C22×Q8) = C42.236D14φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C14224C14.41(C2^2xQ8)448,1141
C14.42(C22×Q8) = C42.148D14φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C14224C14.42(C2^2xQ8)448,1142
C14.43(C22×Q8) = D28⋊7Q8φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C14224C14.43(C2^2xQ8)448,1143
C14.44(C22×Q8) = Dic14⋊8Q8φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C14448C14.44(C2^2xQ8)448,1174
C14.45(C22×Q8) = Dic14⋊9Q8φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C14448C14.45(C2^2xQ8)448,1175
C14.46(C22×Q8) = D7×C4⋊Q8φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C14224C14.46(C2^2xQ8)448,1176
C14.47(C22×Q8) = D28⋊8Q8φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C14224C14.47(C2^2xQ8)448,1180
C14.48(C22×Q8) = C42.241D14φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C14224C14.48(C2^2xQ8)448,1181
C14.49(C22×Q8) = C42.174D14φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C14224C14.49(C2^2xQ8)448,1182
C14.50(C22×Q8) = D28⋊9Q8φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C14224C14.50(C2^2xQ8)448,1183
C14.51(C22×Q8) = C2×Dic7⋊Q8φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C14448C14.51(C2^2xQ8)448,1263
C14.52(C22×Q8) = C2×Q8×Dic7φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C14448C14.52(C2^2xQ8)448,1264
C14.53(C22×Q8) = C2×D14⋊3Q8φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C14224C14.53(C2^2xQ8)448,1266
C14.54(C22×Q8) = Q8×C7⋊D4φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C14224C14.54(C2^2xQ8)448,1268
C14.55(C22×Q8) = C4⋊C4×C2×C14central extension (φ=1)448C14.55(C2^2xQ8)448,1296
C14.56(C22×Q8) = Q8×C2×C28central extension (φ=1)448C14.56(C2^2xQ8)448,1299
C14.57(C22×Q8) = C14×C22⋊Q8central extension (φ=1)224C14.57(C2^2xQ8)448,1306
C14.58(C22×Q8) = C14×C42.C2central extension (φ=1)448C14.58(C2^2xQ8)448,1310
C14.59(C22×Q8) = C14×C4⋊Q8central extension (φ=1)448C14.59(C2^2xQ8)448,1314
C14.60(C22×Q8) = C7×C23.37C23central extension (φ=1)224C14.60(C2^2xQ8)448,1316
C14.61(C22×Q8) = C7×C23⋊2Q8central extension (φ=1)112C14.61(C2^2xQ8)448,1326
C14.62(C22×Q8) = C7×C23.41C23central extension (φ=1)224C14.62(C2^2xQ8)448,1327
C14.63(C22×Q8) = C7×D4×Q8central extension (φ=1)224C14.63(C2^2xQ8)448,1332
C14.64(C22×Q8) = C7×D4⋊3Q8central extension (φ=1)224C14.64(C2^2xQ8)448,1337
C14.65(C22×Q8) = C7×Q8⋊3Q8central extension (φ=1)448C14.65(C2^2xQ8)448,1340
C14.66(C22×Q8) = C7×Q82central extension (φ=1)448C14.66(C2^2xQ8)448,1341

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