Extensions 1→N→G→Q→1 with N=M4(2) and Q=C26

Direct product G=NxQ with N=M4(2) and Q=C26
dρLabelID
M4(2)xC26208M4(2)xC26416,191

Semidirect products G=N:Q with N=M4(2) and Q=C26
extensionφ:Q→Out NdρLabelID
M4(2):1C26 = C13xC8:C22φ: C26/C13C2 ⊆ Out M4(2)1044M4(2):1C26416,197
M4(2):2C26 = C13xC8.C22φ: C26/C13C2 ⊆ Out M4(2)2084M4(2):2C26416,198
M4(2):3C26 = C13xC4.D4φ: C26/C13C2 ⊆ Out M4(2)1044M4(2):3C26416,50
M4(2):4C26 = C13xC4wrC2φ: C26/C13C2 ⊆ Out M4(2)1042M4(2):4C26416,54
M4(2):5C26 = C13xC8oD4φ: trivial image2082M4(2):5C26416,192

Non-split extensions G=N.Q with N=M4(2) and Q=C26
extensionφ:Q→Out NdρLabelID
M4(2).1C26 = C13xC4.10D4φ: C26/C13C2 ⊆ Out M4(2)2084M4(2).1C26416,51
M4(2).2C26 = C13xC8.C4φ: C26/C13C2 ⊆ Out M4(2)2082M4(2).2C26416,58

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