# Extensions 1→N→G→Q→1 with N=C12.23D4 and Q=C2

Direct product G=N×Q with N=C12.23D4 and Q=C2
dρLabelID
C2×C12.23D496C2xC12.23D4192,1373

Semidirect products G=N:Q with N=C12.23D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C12.23D41C2 = D12.5D4φ: C2/C1C2 ⊆ Out C12.23D4488+C12.23D4:1C2192,312
C12.23D42C2 = D12.12D4φ: C2/C1C2 ⊆ Out C12.23D496C12.23D4:2C2192,378
C12.23D43C2 = (C3×D4).D4φ: C2/C1C2 ⊆ Out C12.23D496C12.23D4:3C2192,724
C12.23D44C2 = C24.43D4φ: C2/C1C2 ⊆ Out C12.23D496C12.23D4:4C2192,727
C12.23D45C2 = C249D4φ: C2/C1C2 ⊆ Out C12.23D496C12.23D4:5C2192,735
C12.23D46C2 = C24.28D4φ: C2/C1C2 ⊆ Out C12.23D496C12.23D4:6C2192,750
C12.23D47C2 = D12.39D4φ: C2/C1C2 ⊆ Out C12.23D4488+C12.23D4:7C2192,761
C12.23D48C2 = 2- 1+44S3φ: C2/C1C2 ⊆ Out C12.23D4488+C12.23D4:8C2192,804
C12.23D49C2 = C42.133D6φ: C2/C1C2 ⊆ Out C12.23D496C12.23D4:9C2192,1141
C12.23D410C2 = C42.136D6φ: C2/C1C2 ⊆ Out C12.23D496C12.23D4:10C2192,1144
C12.23D411C2 = C4⋊C4.187D6φ: C2/C1C2 ⊆ Out C12.23D496C12.23D4:11C2192,1183
C12.23D412C2 = D1221D4φ: C2/C1C2 ⊆ Out C12.23D448C12.23D4:12C2192,1189
C12.23D413C2 = Dic622D4φ: C2/C1C2 ⊆ Out C12.23D496C12.23D4:13C2192,1192
C12.23D414C2 = C6.532+ 1+4φ: C2/C1C2 ⊆ Out C12.23D448C12.23D4:14C2192,1196
C12.23D415C2 = C6.222- 1+4φ: C2/C1C2 ⊆ Out C12.23D496C12.23D4:15C2192,1199
C12.23D416C2 = C6.242- 1+4φ: C2/C1C2 ⊆ Out C12.23D496C12.23D4:16C2192,1202
C12.23D417C2 = C6.562+ 1+4φ: C2/C1C2 ⊆ Out C12.23D448C12.23D4:17C2192,1203
C12.23D418C2 = C6.592+ 1+4φ: C2/C1C2 ⊆ Out C12.23D496C12.23D4:18C2192,1206
C12.23D419C2 = C42.138D6φ: C2/C1C2 ⊆ Out C12.23D496C12.23D4:19C2192,1229
C12.23D420C2 = S3×C4.4D4φ: C2/C1C2 ⊆ Out C12.23D448C12.23D4:20C2192,1232
C12.23D421C2 = C4220D6φ: C2/C1C2 ⊆ Out C12.23D448C12.23D4:21C2192,1233
C12.23D422C2 = C4222D6φ: C2/C1C2 ⊆ Out C12.23D448C12.23D4:22C2192,1237
C12.23D423C2 = C42.143D6φ: C2/C1C2 ⊆ Out C12.23D496C12.23D4:23C2192,1240
C12.23D424C2 = C4224D6φ: C2/C1C2 ⊆ Out C12.23D448C12.23D4:24C2192,1242
C12.23D425C2 = C42.171D6φ: C2/C1C2 ⊆ Out C12.23D496C12.23D4:25C2192,1283
C12.23D426C2 = C42.240D6φ: C2/C1C2 ⊆ Out C12.23D496C12.23D4:26C2192,1284
C12.23D427C2 = C42.178D6φ: C2/C1C2 ⊆ Out C12.23D496C12.23D4:27C2192,1292
C12.23D428C2 = C42.179D6φ: C2/C1C2 ⊆ Out C12.23D496C12.23D4:28C2192,1293
C12.23D429C2 = C6.442- 1+4φ: C2/C1C2 ⊆ Out C12.23D496C12.23D4:29C2192,1375
C12.23D430C2 = C6.452- 1+4φ: C2/C1C2 ⊆ Out C12.23D496C12.23D4:30C2192,1376
C12.23D431C2 = C6.1452+ 1+4φ: C2/C1C2 ⊆ Out C12.23D448C12.23D4:31C2192,1388
C12.23D432C2 = C6.1462+ 1+4φ: C2/C1C2 ⊆ Out C12.23D448C12.23D4:32C2192,1389
C12.23D433C2 = C42.131D6φ: trivial image96C12.23D4:33C2192,1139
C12.23D434C2 = (C2×C12)⋊17D4φ: trivial image96C12.23D4:34C2192,1391

Non-split extensions G=N.Q with N=C12.23D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C12.23D4.1C2 = (C2×C4).D12φ: C2/C1C2 ⊆ Out C12.23D4488+C12.23D4.1C2192,36
C12.23D4.2C2 = (C2×C8).D6φ: C2/C1C2 ⊆ Out C12.23D496C12.23D4.2C2192,353
C12.23D4.3C2 = Dic6.11D4φ: C2/C1C2 ⊆ Out C12.23D496C12.23D4.3C2192,357
C12.23D4.4C2 = Q8⋊C4⋊S3φ: C2/C1C2 ⊆ Out C12.23D496C12.23D4.4C2192,359
C12.23D4.5C2 = (C2×Q16)⋊S3φ: C2/C1C2 ⊆ Out C12.23D496C12.23D4.5C2192,744
C12.23D4.6C2 = C24.37D4φ: C2/C1C2 ⊆ Out C12.23D496C12.23D4.6C2192,749
C12.23D4.7C2 = C42.122D6φ: C2/C1C2 ⊆ Out C12.23D496C12.23D4.7C2192,1127
C12.23D4.8C2 = C42.177D6φ: C2/C1C2 ⊆ Out C12.23D496C12.23D4.8C2192,1291
C12.23D4.9C2 = C42.180D6φ: C2/C1C2 ⊆ Out C12.23D496C12.23D4.9C2192,1294

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