Extensions 1→N→G→Q→1 with N=C2xC4 and Q=C58

Direct product G=NxQ with N=C2xC4 and Q=C58
dρLabelID
C22xC116464C2^2xC116464,45

Semidirect products G=N:Q with N=C2xC4 and Q=C58
extensionφ:Q→Aut NdρLabelID
(C2xC4):1C58 = C22:C4xC29φ: C58/C29C2 ⊆ Aut C2xC4232(C2xC4):1C58464,21
(C2xC4):2C58 = D4xC58φ: C58/C29C2 ⊆ Aut C2xC4232(C2xC4):2C58464,46
(C2xC4):3C58 = C4oD4xC29φ: C58/C29C2 ⊆ Aut C2xC42322(C2xC4):3C58464,48

Non-split extensions G=N.Q with N=C2xC4 and Q=C58
extensionφ:Q→Aut NdρLabelID
(C2xC4).1C58 = C4:C4xC29φ: C58/C29C2 ⊆ Aut C2xC4464(C2xC4).1C58464,22
(C2xC4).2C58 = M4(2)xC29φ: C58/C29C2 ⊆ Aut C2xC42322(C2xC4).2C58464,24
(C2xC4).3C58 = Q8xC58φ: C58/C29C2 ⊆ Aut C2xC4464(C2xC4).3C58464,47

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