Extensions 1→N→G→Q→1 with N=C8⋊C4 and Q=D5

Direct product G=N×Q with N=C8⋊C4 and Q=D5
dρLabelID
D5×C8⋊C4160D5xC8:C4320,331

Semidirect products G=N:Q with N=C8⋊C4 and Q=D5
extensionφ:Q→Out NdρLabelID
C8⋊C41D5 = C42.16D10φ: D5/C5C2 ⊆ Out C8⋊C4160C8:C4:1D5320,337
C8⋊C42D5 = D409C4φ: D5/C5C2 ⊆ Out C8⋊C4160C8:C4:2D5320,338
C8⋊C43D5 = C8⋊D20φ: D5/C5C2 ⊆ Out C8⋊C4160C8:C4:3D5320,339
C8⋊C44D5 = C8.D20φ: D5/C5C2 ⊆ Out C8⋊C4160C8:C4:4D5320,342
C8⋊C45D5 = D4010C4φ: D5/C5C2 ⊆ Out C8⋊C4804C8:C4:5D5320,344
C8⋊C46D5 = C42.D10φ: D5/C5C2 ⊆ Out C8⋊C4160C8:C4:6D5320,22
C8⋊C47D5 = C42.182D10φ: D5/C5C2 ⊆ Out C8⋊C4160C8:C4:7D5320,332
C8⋊C48D5 = C89D20φ: D5/C5C2 ⊆ Out C8⋊C4160C8:C4:8D5320,333
C8⋊C49D5 = C42.185D10φ: D5/C5C2 ⊆ Out C8⋊C4160C8:C4:9D5320,336
C8⋊C410D5 = C42.19D10φ: D5/C5C2 ⊆ Out C8⋊C4160C8:C4:10D5320,340
C8⋊C411D5 = C42.20D10φ: D5/C5C2 ⊆ Out C8⋊C4160C8:C4:11D5320,341
C8⋊C412D5 = D10.6C42φ: trivial image160C8:C4:12D5320,334
C8⋊C413D5 = D10.7C42φ: trivial image160C8:C4:13D5320,335

Non-split extensions G=N.Q with N=C8⋊C4 and Q=D5
extensionφ:Q→Out NdρLabelID
C8⋊C4.1D5 = C8⋊Dic10φ: D5/C5C2 ⊆ Out C8⋊C4320C8:C4.1D5320,329
C8⋊C4.2D5 = Dic209C4φ: D5/C5C2 ⊆ Out C8⋊C4320C8:C4.2D5320,343
C8⋊C4.3D5 = C42.2D10φ: D5/C5C2 ⊆ Out C8⋊C4320C8:C4.3D5320,23
C8⋊C4.4D5 = C20.45C42φ: D5/C5C2 ⊆ Out C8⋊C4804C8:C4.4D5320,24
C8⋊C4.5D5 = C40⋊Q8φ: D5/C5C2 ⊆ Out C8⋊C4320C8:C4.5D5320,328
C8⋊C4.6D5 = C42.14D10φ: D5/C5C2 ⊆ Out C8⋊C4320C8:C4.6D5320,330

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