# Extensions 1→N→G→Q→1 with N=C23⋊D14 and Q=C2

Direct product G=N×Q with N=C23⋊D14 and Q=C2
dρLabelID
C2×C23⋊D14112C2xC2^3:D14448,1252

Semidirect products G=N:Q with N=C23⋊D14 and Q=C2
extensionφ:Q→Out NdρLabelID
C23⋊D141C2 = C23⋊D28φ: C2/C1C2 ⊆ Out C23⋊D14568+C2^3:D14:1C2448,275
C23⋊D142C2 = D7×C22≀C2φ: C2/C1C2 ⊆ Out C23⋊D1456C2^3:D14:2C2448,1041
C23⋊D143C2 = C242D14φ: C2/C1C2 ⊆ Out C23⋊D14112C2^3:D14:3C2448,1042
C23⋊D144C2 = C243D14φ: C2/C1C2 ⊆ Out C23⋊D14112C2^3:D14:4C2448,1043
C23⋊D145C2 = C24.33D14φ: C2/C1C2 ⊆ Out C23⋊D14112C2^3:D14:5C2448,1044
C23⋊D146C2 = C24.34D14φ: C2/C1C2 ⊆ Out C23⋊D14112C2^3:D14:6C2448,1045
C23⋊D147C2 = C244D14φ: C2/C1C2 ⊆ Out C23⋊D14112C2^3:D14:7C2448,1047
C23⋊D148C2 = C4⋊C421D14φ: C2/C1C2 ⊆ Out C23⋊D14112C2^3:D14:8C2448,1059
C23⋊D149C2 = C14.382+ 1+4φ: C2/C1C2 ⊆ Out C23⋊D14112C2^3:D14:9C2448,1060
C23⋊D1410C2 = D2819D4φ: C2/C1C2 ⊆ Out C23⋊D14112C2^3:D14:10C2448,1062
C23⋊D1411C2 = D2820D4φ: C2/C1C2 ⊆ Out C23⋊D14112C2^3:D14:11C2448,1065
C23⋊D1412C2 = C14.422+ 1+4φ: C2/C1C2 ⊆ Out C23⋊D14112C2^3:D14:12C2448,1066
C23⋊D1413C2 = C14.462+ 1+4φ: C2/C1C2 ⊆ Out C23⋊D14112C2^3:D14:13C2448,1070
C23⋊D1414C2 = C14.482+ 1+4φ: C2/C1C2 ⊆ Out C23⋊D14112C2^3:D14:14C2448,1073
C23⋊D1415C2 = C14.1202+ 1+4φ: C2/C1C2 ⊆ Out C23⋊D14112C2^3:D14:15C2448,1106
C23⋊D1416C2 = C4⋊C428D14φ: C2/C1C2 ⊆ Out C23⋊D14112C2^3:D14:16C2448,1109
C23⋊D1417C2 = C14.612+ 1+4φ: C2/C1C2 ⊆ Out C23⋊D14112C2^3:D14:17C2448,1110
C23⋊D1418C2 = C14.682+ 1+4φ: C2/C1C2 ⊆ Out C23⋊D14112C2^3:D14:18C2448,1119
C23⋊D1419C2 = 2+ 1+42D7φ: C2/C1C2 ⊆ Out C23⋊D14568+C2^3:D14:19C2448,778
C23⋊D1420C2 = D2823D4φ: C2/C1C2 ⊆ Out C23⋊D14112C2^3:D14:20C2448,1003
C23⋊D1421C2 = C4217D14φ: C2/C1C2 ⊆ Out C23⋊D14112C2^3:D14:21C2448,1013
C23⋊D1422C2 = C14.372+ 1+4φ: C2/C1C2 ⊆ Out C23⋊D14112C2^3:D14:22C2448,1058
C23⋊D1423C2 = C14.402+ 1+4φ: C2/C1C2 ⊆ Out C23⋊D14112C2^3:D14:23C2448,1063
C23⋊D1424C2 = C4220D14φ: C2/C1C2 ⊆ Out C23⋊D14112C2^3:D14:24C2448,1131
C23⋊D1425C2 = C4222D14φ: C2/C1C2 ⊆ Out C23⋊D14112C2^3:D14:25C2448,1136
C23⋊D1426C2 = C4226D14φ: C2/C1C2 ⊆ Out C23⋊D14112C2^3:D14:26C2448,1168
C23⋊D1427C2 = D2811D4φ: C2/C1C2 ⊆ Out C23⋊D14112C2^3:D14:27C2448,1170
C23⋊D1428C2 = C4228D14φ: C2/C1C2 ⊆ Out C23⋊D14112C2^3:D14:28C2448,1173
C23⋊D1429C2 = D4×C7⋊D4φ: C2/C1C2 ⊆ Out C23⋊D14112C2^3:D14:29C2448,1254
C23⋊D1430C2 = C247D14φ: C2/C1C2 ⊆ Out C23⋊D14112C2^3:D14:30C2448,1257
C23⋊D1431C2 = C14.1452+ 1+4φ: C2/C1C2 ⊆ Out C23⋊D14112C2^3:D14:31C2448,1282
C23⋊D1432C2 = C14.1462+ 1+4φ: C2/C1C2 ⊆ Out C23⋊D14112C2^3:D14:32C2448,1283
C23⋊D1433C2 = C4212D14φ: trivial image112C2^3:D14:33C2448,1000
C23⋊D1434C2 = (C2×C28)⋊15D4φ: trivial image112C2^3:D14:34C2448,1281

Non-split extensions G=N.Q with N=C23⋊D14 and Q=C2
extensionφ:Q→Out NdρLabelID
C23⋊D14.1C2 = C7⋊C2≀C4φ: C2/C1C2 ⊆ Out C23⋊D14568+C2^3:D14.1C2448,28
C23⋊D14.2C2 = C14.1222+ 1+4φ: C2/C1C2 ⊆ Out C23⋊D14112C2^3:D14.2C2448,1111
C23⋊D14.3C2 = C14.622+ 1+4φ: C2/C1C2 ⊆ Out C23⋊D14112C2^3:D14.3C2448,1112
C23⋊D14.4C2 = C23.3D28φ: C2/C1C2 ⊆ Out C23⋊D14568+C2^3:D14.4C2448,32
C23⋊D14.5C2 = C4216D14φ: C2/C1C2 ⊆ Out C23⋊D14112C2^3:D14.5C2448,1009
C23⋊D14.6C2 = C4221D14φ: C2/C1C2 ⊆ Out C23⋊D14112C2^3:D14.6C2448,1132

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