Extensions 1→N→G→Q→1 with N=Q8 and Q=C3⋊Dic3

Direct product G=N×Q with N=Q8 and Q=C3⋊Dic3
dρLabelID
Q8×C3⋊Dic3288Q8xC3:Dic3288,802

Semidirect products G=N:Q with N=Q8 and Q=C3⋊Dic3
extensionφ:Q→Out NdρLabelID
Q8⋊(C3⋊Dic3) = C6.GL2(𝔽3)φ: C3⋊Dic3/C6S3 ⊆ Out Q896Q8:(C3:Dic3)288,403
Q82(C3⋊Dic3) = C62.117D4φ: C3⋊Dic3/C3×C6C2 ⊆ Out Q8288Q8:2(C3:Dic3)288,310
Q83(C3⋊Dic3) = C62.39D4φ: C3⋊Dic3/C3×C6C2 ⊆ Out Q872Q8:3(C3:Dic3)288,312

Non-split extensions G=N.Q with N=Q8 and Q=C3⋊Dic3
extensionφ:Q→Out NdρLabelID
Q8.(C3⋊Dic3) = C3⋊U2(𝔽3)φ: C3⋊Dic3/C6S3 ⊆ Out Q8724Q8.(C3:Dic3)288,404
Q8.2(C3⋊Dic3) = D4.(C3⋊Dic3)φ: trivial image144Q8.2(C3:Dic3)288,805

׿
×
𝔽