Extensions 1→N→G→Q→1 with N=Q8 and Q=C32⋊C6

Direct product G=N×Q with N=Q8 and Q=C32⋊C6

Semidirect products G=N:Q with N=Q8 and Q=C32⋊C6
extensionφ:Q→Out NdρLabelID
Q8⋊(C32⋊C6) = C322GL2(𝔽3)φ: C32⋊C6/C32S3 ⊆ Out Q87212+Q8:(C3^2:C6)432,248
Q82(C32⋊C6) = Q8⋊He3⋊C2φ: C32⋊C6/C3⋊S3C3 ⊆ Out Q87212-Q8:2(C3^2:C6)432,270
Q83(C32⋊C6) = He310SD16φ: C32⋊C6/He3C2 ⊆ Out Q87212+Q8:3(C3^2:C6)432,161
Q84(C32⋊C6) = (Q8×He3)⋊C2φ: trivial image7212+Q8:4(C3^2:C6)432,369

Non-split extensions G=N.Q with N=Q8 and Q=C32⋊C6
extensionφ:Q→Out NdρLabelID
Q8.(C32⋊C6) = C32⋊CSU2(𝔽3)φ: C32⋊C6/C32S3 ⊆ Out Q814412-Q8.(C3^2:C6)432,247
Q8.2(C32⋊C6) = C6.(S3×A4)φ: C32⋊C6/C3⋊S3C3 ⊆ Out Q87212+Q8.2(C3^2:C6)432,269
Q8.3(C32⋊C6) = He36Q16φ: C32⋊C6/He3C2 ⊆ Out Q814412-Q8.3(C3^2:C6)432,160