# Extensions 1→N→G→Q→1 with N=C23⋊2D6 and Q=C2

Direct product G=N×Q with N=C232D6 and Q=C2
dρLabelID
C2×C232D648C2xC2^3:2D6192,1358

Semidirect products G=N:Q with N=C232D6 and Q=C2
extensionφ:Q→Out NdρLabelID
C232D61C2 = C23⋊D12φ: C2/C1C2 ⊆ Out C232D6248+C2^3:2D6:1C2192,300
C232D62C2 = S3×C22≀C2φ: C2/C1C2 ⊆ Out C232D624C2^3:2D6:2C2192,1147
C232D63C2 = C247D6φ: C2/C1C2 ⊆ Out C232D648C2^3:2D6:3C2192,1148
C232D64C2 = C248D6φ: C2/C1C2 ⊆ Out C232D648C2^3:2D6:4C2192,1149
C232D65C2 = C24.44D6φ: C2/C1C2 ⊆ Out C232D648C2^3:2D6:5C2192,1150
C232D66C2 = C24.45D6φ: C2/C1C2 ⊆ Out C232D648C2^3:2D6:6C2192,1151
C232D67C2 = C249D6φ: C2/C1C2 ⊆ Out C232D648C2^3:2D6:7C2192,1153
C232D68C2 = C4⋊C421D6φ: C2/C1C2 ⊆ Out C232D648C2^3:2D6:8C2192,1165
C232D69C2 = C6.382+ 1+4φ: C2/C1C2 ⊆ Out C232D648C2^3:2D6:9C2192,1166
C232D610C2 = D1219D4φ: C2/C1C2 ⊆ Out C232D648C2^3:2D6:10C2192,1168
C232D611C2 = D1220D4φ: C2/C1C2 ⊆ Out C232D648C2^3:2D6:11C2192,1171
C232D612C2 = C6.422+ 1+4φ: C2/C1C2 ⊆ Out C232D648C2^3:2D6:12C2192,1172
C232D613C2 = C6.462+ 1+4φ: C2/C1C2 ⊆ Out C232D648C2^3:2D6:13C2192,1176
C232D614C2 = C6.482+ 1+4φ: C2/C1C2 ⊆ Out C232D648C2^3:2D6:14C2192,1179
C232D615C2 = C6.1202+ 1+4φ: C2/C1C2 ⊆ Out C232D648C2^3:2D6:15C2192,1212
C232D616C2 = C4⋊C428D6φ: C2/C1C2 ⊆ Out C232D648C2^3:2D6:16C2192,1215
C232D617C2 = C6.612+ 1+4φ: C2/C1C2 ⊆ Out C232D648C2^3:2D6:17C2192,1216
C232D618C2 = C6.682+ 1+4φ: C2/C1C2 ⊆ Out C232D648C2^3:2D6:18C2192,1225
C232D619C2 = 2+ 1+47S3φ: C2/C1C2 ⊆ Out C232D6248+C2^3:2D6:19C2192,803
C232D620C2 = D1223D4φ: C2/C1C2 ⊆ Out C232D648C2^3:2D6:20C2192,1109
C232D621C2 = C4219D6φ: C2/C1C2 ⊆ Out C232D648C2^3:2D6:21C2192,1119
C232D622C2 = C6.372+ 1+4φ: C2/C1C2 ⊆ Out C232D648C2^3:2D6:22C2192,1164
C232D623C2 = C6.402+ 1+4φ: C2/C1C2 ⊆ Out C232D648C2^3:2D6:23C2192,1169
C232D624C2 = C4222D6φ: C2/C1C2 ⊆ Out C232D648C2^3:2D6:24C2192,1237
C232D625C2 = C4224D6φ: C2/C1C2 ⊆ Out C232D648C2^3:2D6:25C2192,1242
C232D626C2 = C4228D6φ: C2/C1C2 ⊆ Out C232D648C2^3:2D6:26C2192,1274
C232D627C2 = D1211D4φ: C2/C1C2 ⊆ Out C232D648C2^3:2D6:27C2192,1276
C232D628C2 = C4230D6φ: C2/C1C2 ⊆ Out C232D648C2^3:2D6:28C2192,1279
C232D629C2 = D4×C3⋊D4φ: C2/C1C2 ⊆ Out C232D648C2^3:2D6:29C2192,1360
C232D630C2 = C2412D6φ: C2/C1C2 ⊆ Out C232D648C2^3:2D6:30C2192,1363
C232D631C2 = C6.1452+ 1+4φ: C2/C1C2 ⊆ Out C232D648C2^3:2D6:31C2192,1388
C232D632C2 = C6.1462+ 1+4φ: C2/C1C2 ⊆ Out C232D648C2^3:2D6:32C2192,1389
C232D633C2 = C4214D6φ: trivial image48C2^3:2D6:33C2192,1106
C232D634C2 = (C2×D4)⋊43D6φ: trivial image48C2^3:2D6:34C2192,1387

Non-split extensions G=N.Q with N=C232D6 and Q=C2
extensionφ:Q→Out NdρLabelID
C232D6.1C2 = C3⋊C2≀C4φ: C2/C1C2 ⊆ Out C232D6248+C2^3:2D6.1C2192,30
C232D6.2C2 = C6.1222+ 1+4φ: C2/C1C2 ⊆ Out C232D648C2^3:2D6.2C2192,1217
C232D6.3C2 = C6.622+ 1+4φ: C2/C1C2 ⊆ Out C232D648C2^3:2D6.3C2192,1218
C232D6.4C2 = C23.3D12φ: C2/C1C2 ⊆ Out C232D6248+C2^3:2D6.4C2192,34
C232D6.5C2 = C4218D6φ: C2/C1C2 ⊆ Out C232D648C2^3:2D6.5C2192,1115
C232D6.6C2 = C4223D6φ: C2/C1C2 ⊆ Out C232D648C2^3:2D6.6C2192,1238

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