Extensions 1→N→G→Q→1 with N=C2xC26 and Q=C8

Direct product G=NxQ with N=C2xC26 and Q=C8
dρLabelID
C22xC104416C2^2xC104416,190

Semidirect products G=N:Q with N=C2xC26 and Q=C8
extensionφ:Q→Aut NdρLabelID
(C2xC26):1C8 = C26.M4(2)φ: C8/C2C4 ⊆ Aut C2xC26208(C2xC26):1C8416,87
(C2xC26):2C8 = C22xC13:C8φ: C8/C2C4 ⊆ Aut C2xC26416(C2xC26):2C8416,209
(C2xC26):3C8 = C13xC22:C8φ: C8/C4C2 ⊆ Aut C2xC26208(C2xC26):3C8416,48
(C2xC26):4C8 = C52.55D4φ: C8/C4C2 ⊆ Aut C2xC26208(C2xC26):4C8416,37
(C2xC26):5C8 = C22xC13:2C8φ: C8/C4C2 ⊆ Aut C2xC26416(C2xC26):5C8416,141

Non-split extensions G=N.Q with N=C2xC26 and Q=C8
extensionφ:Q→Aut NdρLabelID
(C2xC26).1C8 = C2xC13:C16φ: C8/C2C4 ⊆ Aut C2xC26416(C2xC26).1C8416,72
(C2xC26).2C8 = C52.C8φ: C8/C2C4 ⊆ Aut C2xC262084(C2xC26).2C8416,73
(C2xC26).3C8 = C13xM5(2)φ: C8/C4C2 ⊆ Aut C2xC262082(C2xC26).3C8416,60
(C2xC26).4C8 = C2xC13:2C16φ: C8/C4C2 ⊆ Aut C2xC26416(C2xC26).4C8416,18
(C2xC26).5C8 = C52.4C8φ: C8/C4C2 ⊆ Aut C2xC262082(C2xC26).5C8416,19

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