Extensions 1→N→G→Q→1 with N=C23.C23 and Q=C2

Direct product G=NxQ with N=C23.C23 and Q=C2
dρLabelID
C2xC23.C2332C2xC2^3.C2^3128,1614

Semidirect products G=N:Q with N=C23.C23 and Q=C2
extensionφ:Q→Out NdρLabelID
C23.C23:1C2 = 2+ 1+4:4C4φ: C2/C1C2 ⊆ Out C23.C23324C2^3.C2^3:1C2128,526
C23.C23:2C2 = C4oD4.D4φ: C2/C1C2 ⊆ Out C23.C23168+C2^3.C2^3:2C2128,527
C23.C23:3C2 = (C22xQ8):C4φ: C2/C1C2 ⊆ Out C23.C23328-C2^3.C2^3:3C2128,528
C23.C23:4C2 = M4(2):19D4φ: C2/C1C2 ⊆ Out C23.C23164C2^3.C2^3:4C2128,616
C23.C23:5C2 = C42.5D4φ: C2/C1C2 ⊆ Out C23.C23168+C2^3.C2^3:5C2128,636
C23.C23:6C2 = C42.426D4φ: C2/C1C2 ⊆ Out C23.C23164C2^3.C2^3:6C2128,638
C23.C23:7C2 = (C2xC8):4D4φ: C2/C1C2 ⊆ Out C23.C23168+C2^3.C2^3:7C2128,642
C23.C23:8C2 = M4(2).30D4φ: C2/C1C2 ⊆ Out C23.C23324C2^3.C2^3:8C2128,708
C23.C23:9C2 = M4(2):5D4φ: C2/C1C2 ⊆ Out C23.C23168+C2^3.C2^3:9C2128,740
C23.C23:10C2 = M4(2).D4φ: C2/C1C2 ⊆ Out C23.C23328-C2^3.C2^3:10C2128,741
C23.C23:11C2 = C22:C4.7D4φ: C2/C1C2 ⊆ Out C23.C23324C2^3.C2^3:11C2128,785
C23.C23:12C2 = C4oC2wrC4φ: C2/C1C2 ⊆ Out C23.C23164C2^3.C2^3:12C2128,852
C23.C23:13C2 = C2wrC4:C2φ: C2/C1C2 ⊆ Out C23.C23168+C2^3.C2^3:13C2128,854
C23.C23:14C2 = C4:Q8:29C4φ: C2/C1C2 ⊆ Out C23.C23164C2^3.C2^3:14C2128,858
C23.C23:15C2 = C4.4D4:C4φ: C2/C1C2 ⊆ Out C23.C23168+C2^3.C2^3:15C2128,860
C23.C23:16C2 = C23.C24φ: C2/C1C2 ⊆ Out C23.C23168+C2^3.C2^3:16C2128,1615
C23.C23:17C2 = C23.4C24φ: C2/C1C2 ⊆ Out C23.C23328-C2^3.C2^3:17C2128,1616
C23.C23:18C2 = C23.7C24φ: C2/C1C2 ⊆ Out C23.C23164C2^3.C2^3:18C2128,1757
C23.C23:19C2 = C23.9C24φ: C2/C1C2 ⊆ Out C23.C23168+C2^3.C2^3:19C2128,1759
C23.C23:20C2 = C23.10C24φ: C2/C1C2 ⊆ Out C23.C23328-C2^3.C2^3:20C2128,1760

Non-split extensions G=N.Q with N=C23.C23 and Q=C2
extensionφ:Q→Out NdρLabelID
C23.C23.1C2 = C23.2C42φ: C2/C1C2 ⊆ Out C23.C23324C2^3.C2^3.1C2128,123
C23.C23.2C2 = (C22xC8):C4φ: C2/C1C2 ⊆ Out C23.C23324C2^3.C2^3.2C2128,127
C23.C23.3C2 = (C2xD4).24Q8φ: C2/C1C2 ⊆ Out C23.C23324C2^3.C2^3.3C2128,544
C23.C23.4C2 = (C2xC42):C4φ: C2/C1C2 ⊆ Out C23.C23164C2^3.C2^3.4C2128,559
C23.C23.5C2 = (C2xD4).Q8φ: C2/C1C2 ⊆ Out C23.C23324C2^3.C2^3.5C2128,600
C23.C23.6C2 = C42.6D4φ: C2/C1C2 ⊆ Out C23.C23328-C2^3.C2^3.6C2128,637
C23.C23.7C2 = C4.(C4xD4)φ: C2/C1C2 ⊆ Out C23.C23328-C2^3.C2^3.7C2128,641
C23.C23.8C2 = C42.8D4φ: C2/C1C2 ⊆ Out C23.C23164C2^3.C2^3.8C2128,763
C23.C23.9C2 = C23.(C2xD4)φ: C2/C1C2 ⊆ Out C23.C23328-C2^3.C2^3.9C2128,855
C23.C23.10C2 = C4:Q8:C4φ: C2/C1C2 ⊆ Out C23.C23328-C2^3.C2^3.10C2128,861
C23.C23.11C2 = C23.5C42φ: trivial image324C2^3.C2^3.11C2128,489

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