# Extensions 1→N→G→Q→1 with N=C23.12D6 and Q=C2

Direct product G=N×Q with N=C23.12D6 and Q=C2
dρLabelID
C2×C23.12D696C2xC2^3.12D6192,1356

Semidirect products G=N:Q with N=C23.12D6 and Q=C2
extensionφ:Q→Out NdρLabelID
C23.12D61C2 = M4(2)⋊D6φ: C2/C1C2 ⊆ Out C23.12D6488-C2^3.12D6:1C2192,305
C23.12D62C2 = D12.D4φ: C2/C1C2 ⊆ Out C23.12D696C2^3.12D6:2C2192,346
C23.12D63C2 = (C6×D8).C2φ: C2/C1C2 ⊆ Out C23.12D696C2^3.12D6:3C2192,712
C23.12D64C2 = C2411D4φ: C2/C1C2 ⊆ Out C23.12D696C2^3.12D6:4C2192,713
C23.12D65C2 = C24.22D4φ: C2/C1C2 ⊆ Out C23.12D696C2^3.12D6:5C2192,714
C23.12D66C2 = C24.43D4φ: C2/C1C2 ⊆ Out C23.12D696C2^3.12D6:6C2192,727
C23.12D67C2 = D12.38D4φ: C2/C1C2 ⊆ Out C23.12D6488-C2^3.12D6:7C2192,760
C23.12D68C2 = 2+ 1+4.4S3φ: C2/C1C2 ⊆ Out C23.12D6488-C2^3.12D6:8C2192,801
C23.12D69C2 = C42.114D6φ: C2/C1C2 ⊆ Out C23.12D696C2^3.12D6:9C2192,1118
C23.12D610C2 = C42.115D6φ: C2/C1C2 ⊆ Out C23.12D696C2^3.12D6:10C2192,1120
C23.12D611C2 = C24.43D6φ: C2/C1C2 ⊆ Out C23.12D648C2^3.12D6:11C2192,1146
C23.12D612C2 = C24.46D6φ: C2/C1C2 ⊆ Out C23.12D648C2^3.12D6:12C2192,1152
C23.12D613C2 = C249D6φ: C2/C1C2 ⊆ Out C23.12D648C2^3.12D6:13C2192,1153
C23.12D614C2 = Dic619D4φ: C2/C1C2 ⊆ Out C23.12D696C2^3.12D6:14C2192,1157
C23.12D615C2 = C4⋊C4.178D6φ: C2/C1C2 ⊆ Out C23.12D696C2^3.12D6:15C2192,1159
C23.12D616C2 = C6.712- 1+4φ: C2/C1C2 ⊆ Out C23.12D696C2^3.12D6:16C2192,1162
C23.12D617C2 = D1220D4φ: C2/C1C2 ⊆ Out C23.12D648C2^3.12D6:17C2192,1171
C23.12D618C2 = C6.422+ 1+4φ: C2/C1C2 ⊆ Out C23.12D648C2^3.12D6:18C2192,1172
C23.12D619C2 = C6.452+ 1+4φ: C2/C1C2 ⊆ Out C23.12D696C2^3.12D6:19C2192,1175
C23.12D620C2 = C6.492+ 1+4φ: C2/C1C2 ⊆ Out C23.12D696C2^3.12D6:20C2192,1180
C23.12D621C2 = C6.622+ 1+4φ: C2/C1C2 ⊆ Out C23.12D648C2^3.12D6:21C2192,1218
C23.12D622C2 = C6.652+ 1+4φ: C2/C1C2 ⊆ Out C23.12D696C2^3.12D6:22C2192,1221
C23.12D623C2 = S3×C4.4D4φ: C2/C1C2 ⊆ Out C23.12D648C2^3.12D6:23C2192,1232
C23.12D624C2 = C42.141D6φ: C2/C1C2 ⊆ Out C23.12D696C2^3.12D6:24C2192,1234
C23.12D625C2 = C42.166D6φ: C2/C1C2 ⊆ Out C23.12D696C2^3.12D6:25C2192,1272
C23.12D626C2 = C4228D6φ: C2/C1C2 ⊆ Out C23.12D648C2^3.12D6:26C2192,1274
C23.12D627C2 = C42.238D6φ: C2/C1C2 ⊆ Out C23.12D696C2^3.12D6:27C2192,1275
C23.12D628C2 = C24.52D6φ: C2/C1C2 ⊆ Out C23.12D648C2^3.12D6:28C2192,1364
C23.12D629C2 = C24.53D6φ: C2/C1C2 ⊆ Out C23.12D648C2^3.12D6:29C2192,1365
C23.12D630C2 = C6.1052- 1+4φ: C2/C1C2 ⊆ Out C23.12D696C2^3.12D6:30C2192,1384
C23.12D631C2 = C6.1072- 1+4φ: C2/C1C2 ⊆ Out C23.12D696C2^3.12D6:31C2192,1390
C23.12D632C2 = C42.229D6φ: trivial image96C2^3.12D6:32C2192,1116
C23.12D633C2 = (C2×C12)⋊17D4φ: trivial image96C2^3.12D6:33C2192,1391

Non-split extensions G=N.Q with N=C23.12D6 and Q=C2
extensionφ:Q→Out NdρLabelID
C23.12D6.1C2 = C23.D12φ: C2/C1C2 ⊆ Out C23.12D6488-C2^3.12D6.1C2192,32
C23.12D6.2C2 = C12⋊Q8⋊C2φ: C2/C1C2 ⊆ Out C23.12D696C2^3.12D6.2C2192,324
C23.12D6.3C2 = Dic6.D4φ: C2/C1C2 ⊆ Out C23.12D696C2^3.12D6.3C2192,326
C23.12D6.4C2 = (C2×C8).200D6φ: C2/C1C2 ⊆ Out C23.12D696C2^3.12D6.4C2192,327
C23.12D6.5C2 = (C3×Q8).D4φ: C2/C1C2 ⊆ Out C23.12D696C2^3.12D6.5C2192,725
C23.12D6.6C2 = C24.31D4φ: C2/C1C2 ⊆ Out C23.12D696C2^3.12D6.6C2192,726
C23.12D6.7C2 = C42.106D6φ: C2/C1C2 ⊆ Out C23.12D696C2^3.12D6.7C2192,1101
C23.12D6.8C2 = C6.812- 1+4φ: C2/C1C2 ⊆ Out C23.12D696C2^3.12D6.8C2192,1210
C23.12D6.9C2 = C42.139D6φ: C2/C1C2 ⊆ Out C23.12D696C2^3.12D6.9C2192,1230

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