Extensions 1→N→G→Q→1 with N=M4(2) and Q=Dic5

Direct product G=N×Q with N=M4(2) and Q=Dic5

Semidirect products G=N:Q with N=M4(2) and Q=Dic5
extensionφ:Q→Out NdρLabelID
M4(2)⋊1Dic5 = C23.47D20φ: Dic5/C10C2 ⊆ Out M4(2)160M4(2):1Dic5320,748
M4(2)⋊2Dic5 = M4(2)⋊Dic5φ: Dic5/C10C2 ⊆ Out M4(2)160M4(2):2Dic5320,112
M4(2)⋊3Dic5 = C20.33C42φ: Dic5/C10C2 ⊆ Out M4(2)80M4(2):3Dic5320,113
M4(2)⋊4Dic5 = M4(2)⋊4Dic5φ: Dic5/C10C2 ⊆ Out M4(2)804M4(2):4Dic5320,117
M4(2)⋊5Dic5 = C20.37C42φ: trivial image160M4(2):5Dic5320,749

Non-split extensions G=N.Q with N=M4(2) and Q=Dic5
extensionφ:Q→Out NdρLabelID
M4(2).1Dic5 = M4(2).Dic5φ: Dic5/C10C2 ⊆ Out M4(2)804M4(2).1Dic5320,752
M4(2).2Dic5 = C20.34C42φ: Dic5/C10C2 ⊆ Out M4(2)160M4(2).2Dic5320,116
M4(2).3Dic5 = C40.92D4φ: Dic5/C10C2 ⊆ Out M4(2)1604M4(2).3Dic5320,119
M4(2).4Dic5 = C40.70C23φ: trivial image1604M4(2).4Dic5320,767