Extensions 1→N→G→Q→1 with N=C6 and Q=Q8

Direct product G=N×Q with N=C6 and Q=Q8
dρLabelID
C6×Q848C6xQ848,46

Semidirect products G=N:Q with N=C6 and Q=Q8
extensionφ:Q→Aut NdρLabelID
C6⋊Q8 = C2×Dic6φ: Q8/C4C2 ⊆ Aut C648C6:Q848,34

Non-split extensions G=N.Q with N=C6 and Q=Q8
extensionφ:Q→Aut NdρLabelID
C6.1Q8 = Dic3⋊C4φ: Q8/C4C2 ⊆ Aut C648C6.1Q848,12
C6.2Q8 = C4⋊Dic3φ: Q8/C4C2 ⊆ Aut C648C6.2Q848,13
C6.3Q8 = C3×C4⋊C4central extension (φ=1)48C6.3Q848,22

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