Extensions 1→N→G→Q→1 with N=M4(2) and Q=Dic7

Direct product G=N×Q with N=M4(2) and Q=Dic7

Semidirect products G=N:Q with N=M4(2) and Q=Dic7
extensionφ:Q→Out NdρLabelID
M4(2)⋊1Dic7 = C23.47D28φ: Dic7/C14C2 ⊆ Out M4(2)224M4(2):1Dic7448,655
M4(2)⋊2Dic7 = M4(2)⋊Dic7φ: Dic7/C14C2 ⊆ Out M4(2)224M4(2):2Dic7448,111
M4(2)⋊3Dic7 = C28.3C42φ: Dic7/C14C2 ⊆ Out M4(2)112M4(2):3Dic7448,112
M4(2)⋊4Dic7 = M4(2)⋊4Dic7φ: Dic7/C14C2 ⊆ Out M4(2)1124M4(2):4Dic7448,116
M4(2)⋊5Dic7 = C28.7C42φ: trivial image224M4(2):5Dic7448,656

Non-split extensions G=N.Q with N=M4(2) and Q=Dic7
extensionφ:Q→Out NdρLabelID
M4(2).1Dic7 = M4(2).Dic7φ: Dic7/C14C2 ⊆ Out M4(2)1124M4(2).1Dic7448,659
M4(2).2Dic7 = C28.4C42φ: Dic7/C14C2 ⊆ Out M4(2)224M4(2).2Dic7448,115
M4(2).3Dic7 = C56.92D4φ: Dic7/C14C2 ⊆ Out M4(2)2244M4(2).3Dic7448,118
M4(2).4Dic7 = C56.70C23φ: trivial image2244M4(2).4Dic7448,674