Extensions 1→N→G→Q→1 with N=C8 and Q=C58

Direct product G=N×Q with N=C8 and Q=C58
dρLabelID
C2×C232464C2xC232464,23

Semidirect products G=N:Q with N=C8 and Q=C58
extensionφ:Q→Aut NdρLabelID
C81C58 = D8×C29φ: C58/C29C2 ⊆ Aut C82322C8:1C58464,25
C82C58 = SD16×C29φ: C58/C29C2 ⊆ Aut C82322C8:2C58464,26
C83C58 = M4(2)×C29φ: C58/C29C2 ⊆ Aut C82322C8:3C58464,24

Non-split extensions G=N.Q with N=C8 and Q=C58
extensionφ:Q→Aut NdρLabelID
C8.C58 = Q16×C29φ: C58/C29C2 ⊆ Aut C84642C8.C58464,27

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