# Extensions 1→N→G→Q→1 with N=C12.53D4 and Q=C2

Direct product G=N×Q with N=C12.53D4 and Q=C2
dρLabelID
C2×C12.53D496C2xC12.53D4192,682

Semidirect products G=N:Q with N=C12.53D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C12.53D41C2 = D12.2D4φ: C2/C1C2 ⊆ Out C12.53D4488-C12.53D4:1C2192,307
C12.53D42C2 = D12.3D4φ: C2/C1C2 ⊆ Out C12.53D4488+C12.53D4:2C2192,308
C12.53D43C2 = D12.6D4φ: C2/C1C2 ⊆ Out C12.53D4488+C12.53D4:3C2192,313
C12.53D44C2 = D12.7D4φ: C2/C1C2 ⊆ Out C12.53D4968-C12.53D4:4C2192,314
C12.53D45C2 = M4(2).D6φ: C2/C1C2 ⊆ Out C12.53D4488+C12.53D4:5C2192,758
C12.53D46C2 = M4(2).13D6φ: C2/C1C2 ⊆ Out C12.53D4488-C12.53D4:6C2192,759
C12.53D47C2 = M4(2).15D6φ: C2/C1C2 ⊆ Out C12.53D4488+C12.53D4:7C2192,762
C12.53D48C2 = M4(2).16D6φ: C2/C1C2 ⊆ Out C12.53D4968-C12.53D4:8C2192,763
C12.53D49C2 = M4(2).22D6φ: C2/C1C2 ⊆ Out C12.53D4484C12.53D4:9C2192,382
C12.53D410C2 = C42.196D6φ: C2/C1C2 ⊆ Out C12.53D4484C12.53D4:10C2192,383
C12.53D411C2 = S3×C8.C4φ: C2/C1C2 ⊆ Out C12.53D4484C12.53D4:11C2192,451
C12.53D412C2 = M4(2).25D6φ: C2/C1C2 ⊆ Out C12.53D4484C12.53D4:12C2192,452
C12.53D413C2 = C23.8Dic6φ: C2/C1C2 ⊆ Out C12.53D4484C12.53D4:13C2192,683
C12.53D414C2 = C24.54D4φ: C2/C1C2 ⊆ Out C12.53D4484C12.53D4:14C2192,704
C12.53D415C2 = C24.100D4φ: trivial image484C12.53D4:15C2192,703

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