# Extensions 1→N→G→Q→1 with N=C28.55D4 and Q=C2

Direct product G=N×Q with N=C28.55D4 and Q=C2
dρLabelID
C2×C28.55D4224C2xC28.55D4448,740

Semidirect products G=N:Q with N=C28.55D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C28.55D41C2 = C14.C4≀C2φ: C2/C1C2 ⊆ Out C28.55D4112C28.55D4:1C2448,8
C28.55D42C2 = D14⋊C8⋊C2φ: C2/C1C2 ⊆ Out C28.55D4224C28.55D4:2C2448,261
C28.55D43C2 = C283M4(2)φ: C2/C1C2 ⊆ Out C28.55D4224C28.55D4:3C2448,546
C28.55D44C2 = (C2×C14).40D8φ: C2/C1C2 ⊆ Out C28.55D4224C28.55D4:4C2448,501
C28.55D45C2 = C4⋊C4.228D14φ: C2/C1C2 ⊆ Out C28.55D4224C28.55D4:5C2448,502
C28.55D46C2 = C4⋊C4.236D14φ: C2/C1C2 ⊆ Out C28.55D4224C28.55D4:6C2448,537
C28.55D47C2 = (C2×C14).D8φ: C2/C1C2 ⊆ Out C28.55D4224C28.55D4:7C2448,567
C28.55D48C2 = C4⋊D4.D7φ: C2/C1C2 ⊆ Out C28.55D4224C28.55D4:8C2448,568
C28.55D49C2 = (C2×D4).D14φ: C2/C1C2 ⊆ Out C28.55D4224C28.55D4:9C2448,569
C28.55D410C2 = D2816D4φ: C2/C1C2 ⊆ Out C28.55D4112C28.55D4:10C2448,570
C28.55D411C2 = D2817D4φ: C2/C1C2 ⊆ Out C28.55D4224C28.55D4:11C2448,571
C28.55D412C2 = Dic1417D4φ: C2/C1C2 ⊆ Out C28.55D4224C28.55D4:12C2448,574
C28.55D413C2 = D28.36D4φ: C2/C1C2 ⊆ Out C28.55D4112C28.55D4:13C2448,580
C28.55D414C2 = D28.37D4φ: C2/C1C2 ⊆ Out C28.55D4224C28.55D4:14C2448,581
C28.55D415C2 = (C2×C14)⋊8D8φ: C2/C1C2 ⊆ Out C28.55D4112C28.55D4:15C2448,751
C28.55D416C2 = (C7×D4).31D4φ: C2/C1C2 ⊆ Out C28.55D4112C28.55D4:16C2448,752
C28.55D417C2 = (C7×Q8)⋊13D4φ: C2/C1C2 ⊆ Out C28.55D4224C28.55D4:17C2448,761
C28.55D418C2 = (C7×D4)⋊14D4φ: C2/C1C2 ⊆ Out C28.55D4224C28.55D4:18C2448,772
C28.55D419C2 = (C7×D4).32D4φ: C2/C1C2 ⊆ Out C28.55D4224C28.55D4:19C2448,773
C28.55D420C2 = (C22×D7)⋊C8φ: C2/C1C2 ⊆ Out C28.55D4112C28.55D4:20C2448,25
C28.55D421C2 = C24.Dic7φ: C2/C1C2 ⊆ Out C28.55D4112C28.55D4:21C2448,82
C28.55D422C2 = D7×C22⋊C8φ: C2/C1C2 ⊆ Out C28.55D4112C28.55D4:22C2448,258
C28.55D423C2 = D14⋊M4(2)φ: C2/C1C2 ⊆ Out C28.55D4112C28.55D4:23C2448,260
C28.55D424C2 = D4×C7⋊C8φ: C2/C1C2 ⊆ Out C28.55D4224C28.55D4:24C2448,544
C28.55D425C2 = C42.47D14φ: C2/C1C2 ⊆ Out C28.55D4224C28.55D4:25C2448,545
C28.55D426C2 = C5632D4φ: C2/C1C2 ⊆ Out C28.55D4224C28.55D4:26C2448,645
C28.55D427C2 = C24.4Dic7φ: C2/C1C2 ⊆ Out C28.55D4112C28.55D4:27C2448,741
C28.55D428C2 = (D4×C14)⋊C4φ: C2/C1C2 ⊆ Out C28.55D4112C28.55D4:28C2448,94
C28.55D429C2 = C56⋊D4φ: C2/C1C2 ⊆ Out C28.55D4224C28.55D4:29C2448,661
C28.55D430C2 = C5618D4φ: C2/C1C2 ⊆ Out C28.55D4224C28.55D4:30C2448,662
C28.55D431C2 = (D4×C14).11C4φ: C2/C1C2 ⊆ Out C28.55D4224C28.55D4:31C2448,768
C28.55D432C2 = C8×C7⋊D4φ: trivial image224C28.55D4:32C2448,643

Non-split extensions G=N.Q with N=C28.55D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C28.55D4.1C2 = C4⋊Dic7⋊C4φ: C2/C1C2 ⊆ Out C28.55D4112C28.55D4.1C2448,9
C28.55D4.2C2 = C56⋊C4⋊C2φ: C2/C1C2 ⊆ Out C28.55D4224C28.55D4.2C2448,254
C28.55D4.3C2 = C4⋊C4.230D14φ: C2/C1C2 ⊆ Out C28.55D4224C28.55D4.3C2448,504
C28.55D4.4C2 = C4⋊C4.231D14φ: C2/C1C2 ⊆ Out C28.55D4224C28.55D4.4C2448,505
C28.55D4.5C2 = C4⋊C4.233D14φ: C2/C1C2 ⊆ Out C28.55D4224C28.55D4.5C2448,530
C28.55D4.6C2 = C22⋊Q8.D7φ: C2/C1C2 ⊆ Out C28.55D4224C28.55D4.6C2448,577
C28.55D4.7C2 = (C2×C14).Q16φ: C2/C1C2 ⊆ Out C28.55D4224C28.55D4.7C2448,578
C28.55D4.8C2 = C14.(C4○D8)φ: C2/C1C2 ⊆ Out C28.55D4224C28.55D4.8C2448,579
C28.55D4.9C2 = Dic14.37D4φ: C2/C1C2 ⊆ Out C28.55D4224C28.55D4.9C2448,584
C28.55D4.10C2 = (C2×C14)⋊8Q16φ: C2/C1C2 ⊆ Out C28.55D4224C28.55D4.10C2448,762
C28.55D4.11C2 = (C2×Dic7)⋊C8φ: C2/C1C2 ⊆ Out C28.55D4224C28.55D4.11C2448,26
C28.55D4.12C2 = (C2×C28)⋊C8φ: C2/C1C2 ⊆ Out C28.55D4224C28.55D4.12C2448,85
C28.55D4.13C2 = Dic7.5M4(2)φ: C2/C1C2 ⊆ Out C28.55D4224C28.55D4.13C2448,252
C28.55D4.14C2 = Dic7.M4(2)φ: C2/C1C2 ⊆ Out C28.55D4224C28.55D4.14C2448,253
C28.55D4.15C2 = C42.7Dic7φ: C2/C1C2 ⊆ Out C28.55D4224C28.55D4.15C2448,460
C28.55D4.16C2 = C4⋊C4⋊Dic7φ: C2/C1C2 ⊆ Out C28.55D4112C28.55D4.16C2448,95
C28.55D4.17C2 = C42.187D14φ: C2/C1C2 ⊆ Out C28.55D4224C28.55D4.17C2448,534
C28.55D4.18C2 = C42.6Dic7φ: trivial image224C28.55D4.18C2448,459

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