# Extensions 1→N→G→Q→1 with N=C122 and Q=C2

Direct product G=N×Q with N=C122 and Q=C2
dρLabelID
C2×C122288C2xC12^2288,811

Semidirect products G=N:Q with N=C122 and Q=C2
extensionφ:Q→Aut NdρLabelID
C1221C2 = C3×C423S3φ: C2/C1C2 ⊆ Aut C12296C12^2:1C2288,647
C1222C2 = C1222C2φ: C2/C1C2 ⊆ Aut C122144C12^2:2C2288,733
C1223C2 = C32×C42⋊C2φ: C2/C1C2 ⊆ Aut C122144C12^2:3C2288,814
C1224C2 = C32×C422C2φ: C2/C1C2 ⊆ Aut C122144C12^2:4C2288,823
C1225C2 = C124D12φ: C2/C1C2 ⊆ Aut C122144C12^2:5C2288,731
C1226C2 = C1226C2φ: C2/C1C2 ⊆ Aut C122144C12^2:6C2288,732
C1227C2 = C122⋊C2φ: C2/C1C2 ⊆ Aut C12272C12^2:7C2288,280
C1228C2 = C4×C12⋊S3φ: C2/C1C2 ⊆ Aut C122144C12^2:8C2288,730
C1229C2 = C3×C424S3φ: C2/C1C2 ⊆ Aut C122242C12^2:9C2288,239
C12210C2 = C12×D12φ: C2/C1C2 ⊆ Aut C12296C12^2:10C2288,644
C12211C2 = C3×C4⋊D12φ: C2/C1C2 ⊆ Aut C12296C12^2:11C2288,645
C12212C2 = C3×C427S3φ: C2/C1C2 ⊆ Aut C12296C12^2:12C2288,646
C12213C2 = S3×C4×C12φ: C2/C1C2 ⊆ Aut C12296C12^2:13C2288,642
C12214C2 = C3×C422S3φ: C2/C1C2 ⊆ Aut C12296C12^2:14C2288,643
C12215C2 = C42×C3⋊S3φ: C2/C1C2 ⊆ Aut C122144C12^2:15C2288,728
C12216C2 = C12216C2φ: C2/C1C2 ⊆ Aut C122144C12^2:16C2288,729
C12217C2 = C32×C4≀C2φ: C2/C1C2 ⊆ Aut C12272C12^2:17C2288,322
C12218C2 = D4×C3×C12φ: C2/C1C2 ⊆ Aut C122144C12^2:18C2288,815
C12219C2 = C32×C4.4D4φ: C2/C1C2 ⊆ Aut C122144C12^2:19C2288,821
C12220C2 = C32×C41D4φ: C2/C1C2 ⊆ Aut C122144C12^2:20C2288,824

Non-split extensions G=N.Q with N=C122 and Q=C2
extensionφ:Q→Aut NdρLabelID
C122.1C2 = C32×C8⋊C4φ: C2/C1C2 ⊆ Aut C122288C12^2.1C2288,315
C122.2C2 = C126Dic6φ: C2/C1C2 ⊆ Aut C122288C12^2.2C2288,726
C122.3C2 = C12.25Dic6φ: C2/C1C2 ⊆ Aut C122288C12^2.3C2288,727
C122.4C2 = C12.57D12φ: C2/C1C2 ⊆ Aut C122288C12^2.4C2288,279
C122.5C2 = C4×C324Q8φ: C2/C1C2 ⊆ Aut C122288C12^2.5C2288,725
C122.6C2 = C3×C12⋊C8φ: C2/C1C2 ⊆ Aut C12296C12^2.6C2288,238
C122.7C2 = C12×Dic6φ: C2/C1C2 ⊆ Aut C12296C12^2.7C2288,639
C122.8C2 = C3×C122Q8φ: C2/C1C2 ⊆ Aut C12296C12^2.8C2288,640
C122.9C2 = C3×C12.6Q8φ: C2/C1C2 ⊆ Aut C12296C12^2.9C2288,641
C122.10C2 = C12×C3⋊C8φ: C2/C1C2 ⊆ Aut C12296C12^2.10C2288,236
C122.11C2 = C3×C42.S3φ: C2/C1C2 ⊆ Aut C12296C12^2.11C2288,237
C122.12C2 = C4×C324C8φ: C2/C1C2 ⊆ Aut C122288C12^2.12C2288,277
C122.13C2 = C122.C2φ: C2/C1C2 ⊆ Aut C122288C12^2.13C2288,278
C122.14C2 = C32×C4⋊C8φ: C2/C1C2 ⊆ Aut C122288C12^2.14C2288,323
C122.15C2 = Q8×C3×C12φ: C2/C1C2 ⊆ Aut C122288C12^2.15C2288,816
C122.16C2 = C32×C42.C2φ: C2/C1C2 ⊆ Aut C122288C12^2.16C2288,822
C122.17C2 = C32×C4⋊Q8φ: C2/C1C2 ⊆ Aut C122288C12^2.17C2288,825

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