# Extensions 1→N→G→Q→1 with N=C12.55D4 and Q=C2

Direct product G=N×Q with N=C12.55D4 and Q=C2
dρLabelID
C2×C12.55D496C2xC12.55D4192,765

Semidirect products G=N:Q with N=C12.55D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C12.55D41C2 = C6.C4≀C2φ: C2/C1C2 ⊆ Out C12.55D448C12.55D4:1C2192,10
C12.55D42C2 = D6⋊C8⋊C2φ: C2/C1C2 ⊆ Out C12.55D496C12.55D4:2C2192,286
C12.55D43C2 = C123M4(2)φ: C2/C1C2 ⊆ Out C12.55D496C12.55D4:3C2192,571
C12.55D44C2 = (C2×C6).40D8φ: C2/C1C2 ⊆ Out C12.55D496C12.55D4:4C2192,526
C12.55D45C2 = C4⋊C4.228D6φ: C2/C1C2 ⊆ Out C12.55D496C12.55D4:5C2192,527
C12.55D46C2 = C4⋊C4.236D6φ: C2/C1C2 ⊆ Out C12.55D496C12.55D4:6C2192,562
C12.55D47C2 = (C2×C6).D8φ: C2/C1C2 ⊆ Out C12.55D496C12.55D4:7C2192,592
C12.55D48C2 = C4⋊D4.S3φ: C2/C1C2 ⊆ Out C12.55D496C12.55D4:8C2192,593
C12.55D49C2 = C6.Q16⋊C2φ: C2/C1C2 ⊆ Out C12.55D496C12.55D4:9C2192,594
C12.55D410C2 = D1216D4φ: C2/C1C2 ⊆ Out C12.55D448C12.55D4:10C2192,595
C12.55D411C2 = D1217D4φ: C2/C1C2 ⊆ Out C12.55D496C12.55D4:11C2192,596
C12.55D412C2 = Dic617D4φ: C2/C1C2 ⊆ Out C12.55D496C12.55D4:12C2192,599
C12.55D413C2 = D12.36D4φ: C2/C1C2 ⊆ Out C12.55D448C12.55D4:13C2192,605
C12.55D414C2 = D12.37D4φ: C2/C1C2 ⊆ Out C12.55D496C12.55D4:14C2192,606
C12.55D415C2 = (C2×C6)⋊8D8φ: C2/C1C2 ⊆ Out C12.55D448C12.55D4:15C2192,776
C12.55D416C2 = (C3×D4).31D4φ: C2/C1C2 ⊆ Out C12.55D448C12.55D4:16C2192,777
C12.55D417C2 = (C3×Q8)⋊13D4φ: C2/C1C2 ⊆ Out C12.55D496C12.55D4:17C2192,786
C12.55D418C2 = (C3×D4)⋊14D4φ: C2/C1C2 ⊆ Out C12.55D496C12.55D4:18C2192,797
C12.55D419C2 = (C3×D4).32D4φ: C2/C1C2 ⊆ Out C12.55D496C12.55D4:19C2192,798
C12.55D420C2 = (C22×S3)⋊C8φ: C2/C1C2 ⊆ Out C12.55D448C12.55D4:20C2192,27
C12.55D421C2 = C24.3Dic3φ: C2/C1C2 ⊆ Out C12.55D448C12.55D4:21C2192,84
C12.55D422C2 = S3×C22⋊C8φ: C2/C1C2 ⊆ Out C12.55D448C12.55D4:22C2192,283
C12.55D423C2 = D6⋊M4(2)φ: C2/C1C2 ⊆ Out C12.55D448C12.55D4:23C2192,285
C12.55D424C2 = D4×C3⋊C8φ: C2/C1C2 ⊆ Out C12.55D496C12.55D4:24C2192,569
C12.55D425C2 = C42.47D6φ: C2/C1C2 ⊆ Out C12.55D496C12.55D4:25C2192,570
C12.55D426C2 = C2433D4φ: C2/C1C2 ⊆ Out C12.55D496C12.55D4:26C2192,670
C12.55D427C2 = C24.6Dic3φ: C2/C1C2 ⊆ Out C12.55D448C12.55D4:27C2192,766
C12.55D428C2 = (C6×D4)⋊C4φ: C2/C1C2 ⊆ Out C12.55D448C12.55D4:28C2192,96
C12.55D429C2 = C24⋊D4φ: C2/C1C2 ⊆ Out C12.55D496C12.55D4:29C2192,686
C12.55D430C2 = C2421D4φ: C2/C1C2 ⊆ Out C12.55D496C12.55D4:30C2192,687
C12.55D431C2 = (C6×D4).11C4φ: C2/C1C2 ⊆ Out C12.55D496C12.55D4:31C2192,793
C12.55D432C2 = C8×C3⋊D4φ: trivial image96C12.55D4:32C2192,668

Non-split extensions G=N.Q with N=C12.55D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C12.55D4.1C2 = C4⋊Dic3⋊C4φ: C2/C1C2 ⊆ Out C12.55D448C12.55D4.1C2192,11
C12.55D4.2C2 = C24⋊C4⋊C2φ: C2/C1C2 ⊆ Out C12.55D496C12.55D4.2C2192,279
C12.55D4.3C2 = C4⋊C4.230D6φ: C2/C1C2 ⊆ Out C12.55D496C12.55D4.3C2192,529
C12.55D4.4C2 = C4⋊C4.231D6φ: C2/C1C2 ⊆ Out C12.55D496C12.55D4.4C2192,530
C12.55D4.5C2 = C4⋊C4.233D6φ: C2/C1C2 ⊆ Out C12.55D496C12.55D4.5C2192,555
C12.55D4.6C2 = (C2×Q8).49D6φ: C2/C1C2 ⊆ Out C12.55D496C12.55D4.6C2192,602
C12.55D4.7C2 = (C2×C6).Q16φ: C2/C1C2 ⊆ Out C12.55D496C12.55D4.7C2192,603
C12.55D4.8C2 = (C2×Q8).51D6φ: C2/C1C2 ⊆ Out C12.55D496C12.55D4.8C2192,604
C12.55D4.9C2 = Dic6.37D4φ: C2/C1C2 ⊆ Out C12.55D496C12.55D4.9C2192,609
C12.55D4.10C2 = (C2×C6)⋊8Q16φ: C2/C1C2 ⊆ Out C12.55D496C12.55D4.10C2192,787
C12.55D4.11C2 = (C2×Dic3)⋊C8φ: C2/C1C2 ⊆ Out C12.55D496C12.55D4.11C2192,28
C12.55D4.12C2 = (C2×C12)⋊C8φ: C2/C1C2 ⊆ Out C12.55D496C12.55D4.12C2192,87
C12.55D4.13C2 = Dic3.5M4(2)φ: C2/C1C2 ⊆ Out C12.55D496C12.55D4.13C2192,277
C12.55D4.14C2 = Dic3.M4(2)φ: C2/C1C2 ⊆ Out C12.55D496C12.55D4.14C2192,278
C12.55D4.15C2 = C42.270D6φ: C2/C1C2 ⊆ Out C12.55D496C12.55D4.15C2192,485
C12.55D4.16C2 = (C6×Q8)⋊C4φ: C2/C1C2 ⊆ Out C12.55D448C12.55D4.16C2192,97
C12.55D4.17C2 = C42.187D6φ: C2/C1C2 ⊆ Out C12.55D496C12.55D4.17C2192,559
C12.55D4.18C2 = C42.285D6φ: trivial image96C12.55D4.18C2192,484

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