Extensions 1→N→G→Q→1 with N=C2xM4(2) and Q=D5

Direct product G=NxQ with N=C2xM4(2) and Q=D5
dρLabelID
C2xD5xM4(2)80C2xD5xM4(2)320,1415

Semidirect products G=N:Q with N=C2xM4(2) and Q=D5
extensionφ:Q→Out NdρLabelID
(C2xM4(2)):1D5 = C40:2D4φ: D5/C5C2 ⊆ Out C2xM4(2)160(C2xM4(2)):1D5320,761
(C2xM4(2)):2D5 = C40:3D4φ: D5/C5C2 ⊆ Out C2xM4(2)160(C2xM4(2)):2D5320,762
(C2xM4(2)):3D5 = C2xC8:D10φ: D5/C5C2 ⊆ Out C2xM4(2)80(C2xM4(2)):3D5320,1418
(C2xM4(2)):4D5 = C2xC8.D10φ: D5/C5C2 ⊆ Out C2xM4(2)160(C2xM4(2)):4D5320,1419
(C2xM4(2)):5D5 = C40.9C23φ: D5/C5C2 ⊆ Out C2xM4(2)804(C2xM4(2)):5D5320,1420
(C2xM4(2)):6D5 = D10:8M4(2)φ: D5/C5C2 ⊆ Out C2xM4(2)80(C2xM4(2)):6D5320,753
(C2xM4(2)):7D5 = C40:D4φ: D5/C5C2 ⊆ Out C2xM4(2)160(C2xM4(2)):7D5320,754
(C2xM4(2)):8D5 = C40:18D4φ: D5/C5C2 ⊆ Out C2xM4(2)160(C2xM4(2)):8D5320,755
(C2xM4(2)):9D5 = C4.89(C2xD20)φ: D5/C5C2 ⊆ Out C2xM4(2)160(C2xM4(2)):9D5320,756
(C2xM4(2)):10D5 = C2xC20.46D4φ: D5/C5C2 ⊆ Out C2xM4(2)80(C2xM4(2)):10D5320,757
(C2xM4(2)):11D5 = C23.48D20φ: D5/C5C2 ⊆ Out C2xM4(2)80(C2xM4(2)):11D5320,758
(C2xM4(2)):12D5 = M4(2).31D10φ: D5/C5C2 ⊆ Out C2xM4(2)804(C2xM4(2)):12D5320,759
(C2xM4(2)):13D5 = C23.49D20φ: D5/C5C2 ⊆ Out C2xM4(2)160(C2xM4(2)):13D5320,760
(C2xM4(2)):14D5 = C2xD20:7C4φ: D5/C5C2 ⊆ Out C2xM4(2)80(C2xM4(2)):14D5320,765
(C2xM4(2)):15D5 = C23.20D20φ: D5/C5C2 ⊆ Out C2xM4(2)804(C2xM4(2)):15D5320,766
(C2xM4(2)):16D5 = C40.47C23φ: D5/C5C2 ⊆ Out C2xM4(2)804(C2xM4(2)):16D5320,1417
(C2xM4(2)):17D5 = C2xD20.2C4φ: trivial image160(C2xM4(2)):17D5320,1416

Non-split extensions G=N.Q with N=C2xM4(2) and Q=D5
extensionφ:Q→Out NdρLabelID
(C2xM4(2)).1D5 = C23.47D20φ: D5/C5C2 ⊆ Out C2xM4(2)160(C2xM4(2)).1D5320,748
(C2xM4(2)).2D5 = M4(2).Dic5φ: D5/C5C2 ⊆ Out C2xM4(2)804(C2xM4(2)).2D5320,752
(C2xM4(2)).3D5 = C40.4D4φ: D5/C5C2 ⊆ Out C2xM4(2)160(C2xM4(2)).3D5320,764
(C2xM4(2)).4D5 = C40.D4φ: D5/C5C2 ⊆ Out C2xM4(2)804(C2xM4(2)).4D5320,111
(C2xM4(2)).5D5 = M4(2):Dic5φ: D5/C5C2 ⊆ Out C2xM4(2)160(C2xM4(2)).5D5320,112
(C2xM4(2)).6D5 = C20.33C42φ: D5/C5C2 ⊆ Out C2xM4(2)80(C2xM4(2)).6D5320,113
(C2xM4(2)).7D5 = (C2xC40):C4φ: D5/C5C2 ⊆ Out C2xM4(2)804(C2xM4(2)).7D5320,114
(C2xM4(2)).8D5 = C23.9D20φ: D5/C5C2 ⊆ Out C2xM4(2)804(C2xM4(2)).8D5320,115
(C2xM4(2)).9D5 = C20.34C42φ: D5/C5C2 ⊆ Out C2xM4(2)160(C2xM4(2)).9D5320,116
(C2xM4(2)).10D5 = M4(2):4Dic5φ: D5/C5C2 ⊆ Out C2xM4(2)804(C2xM4(2)).10D5320,117
(C2xM4(2)).11D5 = C20.51C42φ: D5/C5C2 ⊆ Out C2xM4(2)804(C2xM4(2)).11D5320,118
(C2xM4(2)).12D5 = Dic5:5M4(2)φ: D5/C5C2 ⊆ Out C2xM4(2)160(C2xM4(2)).12D5320,745
(C2xM4(2)).13D5 = C20.51(C4:C4)φ: D5/C5C2 ⊆ Out C2xM4(2)160(C2xM4(2)).13D5320,746
(C2xM4(2)).14D5 = C23.46D20φ: D5/C5C2 ⊆ Out C2xM4(2)160(C2xM4(2)).14D5320,747
(C2xM4(2)).15D5 = C2xC20.53D4φ: D5/C5C2 ⊆ Out C2xM4(2)160(C2xM4(2)).15D5320,750
(C2xM4(2)).16D5 = C23.Dic10φ: D5/C5C2 ⊆ Out C2xM4(2)804(C2xM4(2)).16D5320,751
(C2xM4(2)).17D5 = C2xC4.12D20φ: D5/C5C2 ⊆ Out C2xM4(2)160(C2xM4(2)).17D5320,763
(C2xM4(2)).18D5 = M4(2)xDic5φ: trivial image160(C2xM4(2)).18D5320,744
(C2xM4(2)).19D5 = C20.37C42φ: trivial image160(C2xM4(2)).19D5320,749

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