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

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

Semidirect products G=N:Q with N=Q8 and Q=C6
extensionφ:Q→Out NdρLabelID
Q8⋊C6 = C2×SL2(𝔽3)φ: C6/C2C3 ⊆ Out Q816Q8:C648,32
Q82C6 = C3×SD16φ: C6/C3C2 ⊆ Out Q8242Q8:2C648,26
Q83C6 = C3×C4○D4φ: trivial image242Q8:3C648,47

Non-split extensions G=N.Q with N=Q8 and Q=C6
extensionφ:Q→Out NdρLabelID
Q8.C6 = C4.A4φ: C6/C2C3 ⊆ Out Q8162Q8.C648,33
Q8.2C6 = C3×Q16φ: C6/C3C2 ⊆ Out Q8482Q8.2C648,27

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