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Extensions 1→N→G→Q→1 with N=C2×C15⋊7D4 and Q=C2

Direct product G=N×Q with N=C2×C15⋊7D4 and Q=C2
dρLabelID
C22×C15⋊7D4240C2^2xC15:7D4480,1179

Semidirect products G=N:Q with N=C2×C15⋊7D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C15⋊7D4)⋊1C2 = D30⋊16D4φ: C2/C1 → C2 ⊆ Out C2×C15⋊7D4120(C2xC15:7D4):1C2480,847
(C2×C15⋊7D4)⋊2C2 = D30⋊9D4φ: C2/C1 → C2 ⊆ Out C2×C15⋊7D4240(C2xC15:7D4):2C2480,849
(C2×C15⋊7D4)⋊3C2 = C60⋊29D4φ: C2/C1 → C2 ⊆ Out C2×C15⋊7D4240(C2xC15:7D4):3C2480,895
(C2×C15⋊7D4)⋊4C2 = D30⋊17D4φ: C2/C1 → C2 ⊆ Out C2×C15⋊7D4120(C2xC15:7D4):4C2480,902
(C2×C15⋊7D4)⋊5C2 = C60⋊2D4φ: C2/C1 → C2 ⊆ Out C2×C15⋊7D4240(C2xC15:7D4):5C2480,903
(C2×C15⋊7D4)⋊6C2 = Dic15⋊12D4φ: C2/C1 → C2 ⊆ Out C2×C15⋊7D4240(C2xC15:7D4):6C2480,904
(C2×C15⋊7D4)⋊7C2 = C60⋊3D4φ: C2/C1 → C2 ⊆ Out C2×C15⋊7D4240(C2xC15:7D4):7C2480,905
(C2×C15⋊7D4)⋊8C2 = C24⋊5D15φ: C2/C1 → C2 ⊆ Out C2×C15⋊7D4120(C2xC15:7D4):8C2480,918
(C2×C15⋊7D4)⋊9C2 = C2×D4×D15φ: C2/C1 → C2 ⊆ Out C2×C15⋊7D4120(C2xC15:7D4):9C2480,1169
(C2×C15⋊7D4)⋊10C2 = C2×D4⋊2D15φ: C2/C1 → C2 ⊆ Out C2×C15⋊7D4240(C2xC15:7D4):10C2480,1170
(C2×C15⋊7D4)⋊11C2 = D4⋊6D30φ: C2/C1 → C2 ⊆ Out C2×C15⋊7D41204(C2xC15:7D4):11C2480,1171
(C2×C15⋊7D4)⋊12C2 = D30⋊6D4φ: C2/C1 → C2 ⊆ Out C2×C15⋊7D4240(C2xC15:7D4):12C2480,609
(C2×C15⋊7D4)⋊13C2 = Dic15⋊3D4φ: C2/C1 → C2 ⊆ Out C2×C15⋊7D4240(C2xC15:7D4):13C2480,626
(C2×C15⋊7D4)⋊14C2 = D30⋊7D4φ: C2/C1 → C2 ⊆ Out C2×C15⋊7D4240(C2xC15:7D4):14C2480,633
(C2×C15⋊7D4)⋊15C2 = Dic15⋊4D4φ: C2/C1 → C2 ⊆ Out C2×C15⋊7D4240(C2xC15:7D4):15C2480,634
(C2×C15⋊7D4)⋊16C2 = (C2×C6)⋊8D20φ: C2/C1 → C2 ⊆ Out C2×C15⋊7D4120(C2xC15:7D4):16C2480,640
(C2×C15⋊7D4)⋊17C2 = (C2×C10)⋊4D12φ: C2/C1 → C2 ⊆ Out C2×C15⋊7D4240(C2xC15:7D4):17C2480,642
(C2×C15⋊7D4)⋊18C2 = Dic15⋊5D4φ: C2/C1 → C2 ⊆ Out C2×C15⋊7D4240(C2xC15:7D4):18C2480,643
(C2×C15⋊7D4)⋊19C2 = (C2×C6)⋊D20φ: C2/C1 → C2 ⊆ Out C2×C15⋊7D4240(C2xC15:7D4):19C2480,645
(C2×C15⋊7D4)⋊20C2 = (C2×C10)⋊11D12φ: C2/C1 → C2 ⊆ Out C2×C15⋊7D4120(C2xC15:7D4):20C2480,646
(C2×C15⋊7D4)⋊21C2 = D30⋊8D4φ: C2/C1 → C2 ⊆ Out C2×C15⋊7D4120(C2xC15:7D4):21C2480,653
(C2×C15⋊7D4)⋊22C2 = C2×Dic5.D6φ: C2/C1 → C2 ⊆ Out C2×C15⋊7D4240(C2xC15:7D4):22C2480,1113
(C2×C15⋊7D4)⋊23C2 = C2×Dic3.D10φ: C2/C1 → C2 ⊆ Out C2×C15⋊7D4240(C2xC15:7D4):23C2480,1116
(C2×C15⋊7D4)⋊24C2 = C2×D5×C3⋊D4φ: C2/C1 → C2 ⊆ Out C2×C15⋊7D4120(C2xC15:7D4):24C2480,1122
(C2×C15⋊7D4)⋊25C2 = C2×S3×C5⋊D4φ: C2/C1 → C2 ⊆ Out C2×C15⋊7D4120(C2xC15:7D4):25C2480,1123
(C2×C15⋊7D4)⋊26C2 = C15⋊2+ 1+4φ: C2/C1 → C2 ⊆ Out C2×C15⋊7D41204(C2xC15:7D4):26C2480,1125
(C2×C15⋊7D4)⋊27C2 = C2×D60⋊11C2φ: trivial image240(C2xC15:7D4):27C2480,1168

Non-split extensions G=N.Q with N=C2×C15⋊7D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C15⋊7D4).1C2 = C23.6D30φ: C2/C1 → C2 ⊆ Out C2×C15⋊7D41204(C2xC15:7D4).1C2480,166
(C2×C15⋊7D4).2C2 = Dic15⋊19D4φ: C2/C1 → C2 ⊆ Out C2×C15⋊7D4240(C2xC15:7D4).2C2480,846
(C2×C15⋊7D4).3C2 = D30.28D4φ: C2/C1 → C2 ⊆ Out C2×C15⋊7D4240(C2xC15:7D4).3C2480,848
(C2×C15⋊7D4).4C2 = C23.11D30φ: C2/C1 → C2 ⊆ Out C2×C15⋊7D4240(C2xC15:7D4).4C2480,850
(C2×C15⋊7D4).5C2 = C22.D60φ: C2/C1 → C2 ⊆ Out C2×C15⋊7D4240(C2xC15:7D4).5C2480,851
(C2×C15⋊7D4).6C2 = C23.28D30φ: C2/C1 → C2 ⊆ Out C2×C15⋊7D4240(C2xC15:7D4).6C2480,894
(C2×C15⋊7D4).7C2 = C15⋊9(C23⋊C4)φ: C2/C1 → C2 ⊆ Out C2×C15⋊7D41204(C2xC15:7D4).7C2480,73
(C2×C15⋊7D4).8C2 = Dic15.19D4φ: C2/C1 → C2 ⊆ Out C2×C15⋊7D4240(C2xC15:7D4).8C2480,602
(C2×C15⋊7D4).9C2 = C10.(C2×D12)φ: C2/C1 → C2 ⊆ Out C2×C15⋊7D4240(C2xC15:7D4).9C2480,618
(C2×C15⋊7D4).10C2 = C6.D4⋊D5φ: C2/C1 → C2 ⊆ Out C2×C15⋊7D4240(C2xC15:7D4).10C2480,622
(C2×C15⋊7D4).11C2 = C15⋊26(C4×D4)φ: C2/C1 → C2 ⊆ Out C2×C15⋊7D4240(C2xC15:7D4).11C2480,628
(C2×C15⋊7D4).12C2 = C15⋊28(C4×D4)φ: C2/C1 → C2 ⊆ Out C2×C15⋊7D4240(C2xC15:7D4).12C2480,632
(C2×C15⋊7D4).13C2 = D30.16D4φ: C2/C1 → C2 ⊆ Out C2×C15⋊7D4240(C2xC15:7D4).13C2480,638
(C2×C15⋊7D4).14C2 = C4×C15⋊7D4φ: trivial image240(C2xC15:7D4).14C2480,893

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