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Extensions 1→N→G→Q→1 with N=C2xC15:7D4 and Q=C2

Direct product G=NxQ with N=C2xC15:7D4 and Q=C2
dρLabelID
C22xC15:7D4240C2^2xC15:7D4480,1179

Semidirect products G=N:Q with N=C2xC15:7D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2xC15:7D4):1C2 = D30:16D4φ: C2/C1 → C2 ⊆ Out C2xC15:7D4120(C2xC15:7D4):1C2480,847
(C2xC15:7D4):2C2 = D30:9D4φ: C2/C1 → C2 ⊆ Out C2xC15:7D4240(C2xC15:7D4):2C2480,849
(C2xC15:7D4):3C2 = C60:29D4φ: C2/C1 → C2 ⊆ Out C2xC15:7D4240(C2xC15:7D4):3C2480,895
(C2xC15:7D4):4C2 = D30:17D4φ: C2/C1 → C2 ⊆ Out C2xC15:7D4120(C2xC15:7D4):4C2480,902
(C2xC15:7D4):5C2 = C60:2D4φ: C2/C1 → C2 ⊆ Out C2xC15:7D4240(C2xC15:7D4):5C2480,903
(C2xC15:7D4):6C2 = Dic15:12D4φ: C2/C1 → C2 ⊆ Out C2xC15:7D4240(C2xC15:7D4):6C2480,904
(C2xC15:7D4):7C2 = C60:3D4φ: C2/C1 → C2 ⊆ Out C2xC15:7D4240(C2xC15:7D4):7C2480,905
(C2xC15:7D4):8C2 = C24:5D15φ: C2/C1 → C2 ⊆ Out C2xC15:7D4120(C2xC15:7D4):8C2480,918
(C2xC15:7D4):9C2 = C2xD4xD15φ: C2/C1 → C2 ⊆ Out C2xC15:7D4120(C2xC15:7D4):9C2480,1169
(C2xC15:7D4):10C2 = C2xD4:2D15φ: C2/C1 → C2 ⊆ Out C2xC15:7D4240(C2xC15:7D4):10C2480,1170
(C2xC15:7D4):11C2 = D4:6D30φ: C2/C1 → C2 ⊆ Out C2xC15:7D41204(C2xC15:7D4):11C2480,1171
(C2xC15:7D4):12C2 = D30:6D4φ: C2/C1 → C2 ⊆ Out C2xC15:7D4240(C2xC15:7D4):12C2480,609
(C2xC15:7D4):13C2 = Dic15:3D4φ: C2/C1 → C2 ⊆ Out C2xC15:7D4240(C2xC15:7D4):13C2480,626
(C2xC15:7D4):14C2 = D30:7D4φ: C2/C1 → C2 ⊆ Out C2xC15:7D4240(C2xC15:7D4):14C2480,633
(C2xC15:7D4):15C2 = Dic15:4D4φ: C2/C1 → C2 ⊆ Out C2xC15:7D4240(C2xC15:7D4):15C2480,634
(C2xC15:7D4):16C2 = (C2xC6):8D20φ: C2/C1 → C2 ⊆ Out C2xC15:7D4120(C2xC15:7D4):16C2480,640
(C2xC15:7D4):17C2 = (C2xC10):4D12φ: C2/C1 → C2 ⊆ Out C2xC15:7D4240(C2xC15:7D4):17C2480,642
(C2xC15:7D4):18C2 = Dic15:5D4φ: C2/C1 → C2 ⊆ Out C2xC15:7D4240(C2xC15:7D4):18C2480,643
(C2xC15:7D4):19C2 = (C2xC6):D20φ: C2/C1 → C2 ⊆ Out C2xC15:7D4240(C2xC15:7D4):19C2480,645
(C2xC15:7D4):20C2 = (C2xC10):11D12φ: C2/C1 → C2 ⊆ Out C2xC15:7D4120(C2xC15:7D4):20C2480,646
(C2xC15:7D4):21C2 = D30:8D4φ: C2/C1 → C2 ⊆ Out C2xC15:7D4120(C2xC15:7D4):21C2480,653
(C2xC15:7D4):22C2 = C2xDic5.D6φ: C2/C1 → C2 ⊆ Out C2xC15:7D4240(C2xC15:7D4):22C2480,1113
(C2xC15:7D4):23C2 = C2xDic3.D10φ: C2/C1 → C2 ⊆ Out C2xC15:7D4240(C2xC15:7D4):23C2480,1116
(C2xC15:7D4):24C2 = C2xD5xC3:D4φ: C2/C1 → C2 ⊆ Out C2xC15:7D4120(C2xC15:7D4):24C2480,1122
(C2xC15:7D4):25C2 = C2xS3xC5:D4φ: C2/C1 → C2 ⊆ Out C2xC15:7D4120(C2xC15:7D4):25C2480,1123
(C2xC15:7D4):26C2 = C15:2+ 1+4φ: C2/C1 → C2 ⊆ Out C2xC15:7D41204(C2xC15:7D4):26C2480,1125
(C2xC15:7D4):27C2 = C2xD60:11C2φ: trivial image240(C2xC15:7D4):27C2480,1168

Non-split extensions G=N.Q with N=C2xC15:7D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2xC15:7D4).1C2 = C23.6D30φ: C2/C1 → C2 ⊆ Out C2xC15:7D41204(C2xC15:7D4).1C2480,166
(C2xC15:7D4).2C2 = Dic15:19D4φ: C2/C1 → C2 ⊆ Out C2xC15:7D4240(C2xC15:7D4).2C2480,846
(C2xC15:7D4).3C2 = D30.28D4φ: C2/C1 → C2 ⊆ Out C2xC15:7D4240(C2xC15:7D4).3C2480,848
(C2xC15:7D4).4C2 = C23.11D30φ: C2/C1 → C2 ⊆ Out C2xC15:7D4240(C2xC15:7D4).4C2480,850
(C2xC15:7D4).5C2 = C22.D60φ: C2/C1 → C2 ⊆ Out C2xC15:7D4240(C2xC15:7D4).5C2480,851
(C2xC15:7D4).6C2 = C23.28D30φ: C2/C1 → C2 ⊆ Out C2xC15:7D4240(C2xC15:7D4).6C2480,894
(C2xC15:7D4).7C2 = C15:9(C23:C4)φ: C2/C1 → C2 ⊆ Out C2xC15:7D41204(C2xC15:7D4).7C2480,73
(C2xC15:7D4).8C2 = Dic15.19D4φ: C2/C1 → C2 ⊆ Out C2xC15:7D4240(C2xC15:7D4).8C2480,602
(C2xC15:7D4).9C2 = C10.(C2xD12)φ: C2/C1 → C2 ⊆ Out C2xC15:7D4240(C2xC15:7D4).9C2480,618
(C2xC15:7D4).10C2 = C6.D4:D5φ: C2/C1 → C2 ⊆ Out C2xC15:7D4240(C2xC15:7D4).10C2480,622
(C2xC15:7D4).11C2 = C15:26(C4xD4)φ: C2/C1 → C2 ⊆ Out C2xC15:7D4240(C2xC15:7D4).11C2480,628
(C2xC15:7D4).12C2 = C15:28(C4xD4)φ: C2/C1 → C2 ⊆ Out C2xC15:7D4240(C2xC15:7D4).12C2480,632
(C2xC15:7D4).13C2 = D30.16D4φ: C2/C1 → C2 ⊆ Out C2xC15:7D4240(C2xC15:7D4).13C2480,638
(C2xC15:7D4).14C2 = C4xC15:7D4φ: trivial image240(C2xC15:7D4).14C2480,893

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