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Extensions 1→N→G→Q→1 with N=C2.C42 and Q=D5

Direct product G=N×Q with N=C2.C42 and Q=D5
dρLabelID
D5×C2.C42160D5xC2.C4^2320,290

Semidirect products G=N:Q with N=C2.C42 and Q=D5
extensionφ:Q→Out NdρLabelID
C2.C42⋊1D5 = C22.58(D4×D5)φ: D5/C5 → C2 ⊆ Out C2.C42160C2.C4^2:1D5320,291
C2.C42⋊2D5 = D10⋊2(C4⋊C4)φ: D5/C5 → C2 ⊆ Out C2.C42160C2.C4^2:2D5320,294
C2.C42⋊3D5 = C10.54(C4×D4)φ: D5/C5 → C2 ⊆ Out C2.C42160C2.C4^2:3D5320,296
C2.C42⋊4D5 = C10.(C4⋊D4)φ: D5/C5 → C2 ⊆ Out C2.C42160C2.C4^2:4D5320,302
C2.C42⋊5D5 = (C22×D5).Q8φ: D5/C5 → C2 ⊆ Out C2.C42160C2.C4^2:5D5320,303
C2.C42⋊6D5 = (C2×D20)⋊C4φ: D5/C5 → C2 ⊆ Out C2.C4280C2.C4^2:6D5320,9
C2.C42⋊7D5 = (C2×C4)⋊9D20φ: D5/C5 → C2 ⊆ Out C2.C42160C2.C4^2:7D5320,292
C2.C42⋊8D5 = D10⋊3(C4⋊C4)φ: D5/C5 → C2 ⊆ Out C2.C42160C2.C4^2:8D5320,295
C2.C42⋊9D5 = C10.55(C4×D4)φ: D5/C5 → C2 ⊆ Out C2.C42160C2.C4^2:9D5320,297
C2.C42⋊10D5 = (C2×C20)⋊5D4φ: D5/C5 → C2 ⊆ Out C2.C42160C2.C4^2:10D5320,298
C2.C42⋊11D5 = (C2×Dic5)⋊3D4φ: D5/C5 → C2 ⊆ Out C2.C42160C2.C4^2:11D5320,299
C2.C42⋊12D5 = (C2×C4).20D20φ: D5/C5 → C2 ⊆ Out C2.C42160C2.C4^2:12D5320,300
C2.C42⋊13D5 = (C2×C4).21D20φ: D5/C5 → C2 ⊆ Out C2.C42160C2.C4^2:13D5320,301
C2.C42⋊14D5 = (C2×C20).33D4φ: D5/C5 → C2 ⊆ Out C2.C42160C2.C4^2:14D5320,304
C2.C42⋊15D5 = D10⋊2C42φ: trivial image160C2.C4^2:15D5320,293

Non-split extensions G=N.Q with N=C2.C42 and Q=D5
extensionφ:Q→Out NdρLabelID
C2.C42.1D5 = C5⋊2(C42⋊8C4)φ: D5/C5 → C2 ⊆ Out C2.C42320C2.C4^2.1D5320,277
C2.C42.2D5 = C5⋊2(C42⋊5C4)φ: D5/C5 → C2 ⊆ Out C2.C42320C2.C4^2.2D5320,278
C2.C42.3D5 = C10.51(C4×D4)φ: D5/C5 → C2 ⊆ Out C2.C42320C2.C4^2.3D5320,279
C2.C42.4D5 = (C2×Dic5).Q8φ: D5/C5 → C2 ⊆ Out C2.C42320C2.C4^2.4D5320,285
C2.C42.5D5 = (C22×C4).D10φ: D5/C5 → C2 ⊆ Out C2.C42320C2.C4^2.5D5320,289
C2.C42.6D5 = C4⋊Dic5⋊C4φ: D5/C5 → C2 ⊆ Out C2.C4280C2.C4^2.6D5320,10
C2.C42.7D5 = (C2×C20)⋊Q8φ: D5/C5 → C2 ⊆ Out C2.C42320C2.C4^2.7D5320,273
C2.C42.8D5 = C10.49(C4×D4)φ: D5/C5 → C2 ⊆ Out C2.C42320C2.C4^2.8D5320,274
C2.C42.9D5 = C2.(C4×D20)φ: D5/C5 → C2 ⊆ Out C2.C42320C2.C4^2.9D5320,280
C2.C42.10D5 = C4⋊Dic5⋊15C4φ: D5/C5 → C2 ⊆ Out C2.C42320C2.C4^2.10D5320,281
C2.C42.11D5 = C10.52(C4×D4)φ: D5/C5 → C2 ⊆ Out C2.C42320C2.C4^2.11D5320,282
C2.C42.12D5 = (C2×Dic5)⋊Q8φ: D5/C5 → C2 ⊆ Out C2.C42320C2.C4^2.12D5320,283
C2.C42.13D5 = C2.(C20⋊Q8)φ: D5/C5 → C2 ⊆ Out C2.C42320C2.C4^2.13D5320,284
C2.C42.14D5 = (C2×C20).28D4φ: D5/C5 → C2 ⊆ Out C2.C42320C2.C4^2.14D5320,286
C2.C42.15D5 = (C2×C4).Dic10φ: D5/C5 → C2 ⊆ Out C2.C42320C2.C4^2.15D5320,287
C2.C42.16D5 = C10.(C4⋊Q8)φ: D5/C5 → C2 ⊆ Out C2.C42320C2.C4^2.16D5320,288
C2.C42.17D5 = Dic5.15C42φ: trivial image320C2.C4^2.17D5320,275
C2.C42.18D5 = Dic5⋊2C42φ: trivial image320C2.C4^2.18D5320,276

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