Extensions 1→N→G→Q→1 with N=C58 and Q=Q8

Direct product G=N×Q with N=C58 and Q=Q8
dρLabelID
Q8×C58464Q8xC58464,47

Semidirect products G=N:Q with N=C58 and Q=Q8
extensionφ:Q→Aut NdρLabelID
C58⋊Q8 = C2×Dic58φ: Q8/C4C2 ⊆ Aut C58464C58:Q8464,35

Non-split extensions G=N.Q with N=C58 and Q=Q8
extensionφ:Q→Aut NdρLabelID
C58.1Q8 = C58.D4φ: Q8/C4C2 ⊆ Aut C58464C58.1Q8464,12
C58.2Q8 = C4⋊Dic29φ: Q8/C4C2 ⊆ Aut C58464C58.2Q8464,13
C58.3Q8 = C4⋊C4×C29central extension (φ=1)464C58.3Q8464,22

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