Extensions 1→N→G→Q→1 with N=M4(2) and Q=C10

Direct product G=N×Q with N=M4(2) and Q=C10
dρLabelID
C10×M4(2)80C10xM4(2)160,191

Semidirect products G=N:Q with N=M4(2) and Q=C10
extensionφ:Q→Out NdρLabelID
M4(2)⋊1C10 = C5×C8⋊C22φ: C10/C5C2 ⊆ Out M4(2)404M4(2):1C10160,197
M4(2)⋊2C10 = C5×C8.C22φ: C10/C5C2 ⊆ Out M4(2)804M4(2):2C10160,198
M4(2)⋊3C10 = C5×C4.D4φ: C10/C5C2 ⊆ Out M4(2)404M4(2):3C10160,50
M4(2)⋊4C10 = C5×C4≀C2φ: C10/C5C2 ⊆ Out M4(2)402M4(2):4C10160,54
M4(2)⋊5C10 = C5×C8○D4φ: trivial image802M4(2):5C10160,192

Non-split extensions G=N.Q with N=M4(2) and Q=C10
extensionφ:Q→Out NdρLabelID
M4(2).1C10 = C5×C4.10D4φ: C10/C5C2 ⊆ Out M4(2)804M4(2).1C10160,51
M4(2).2C10 = C5×C8.C4φ: C10/C5C2 ⊆ Out M4(2)802M4(2).2C10160,58

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