Extensions 1→N→G→Q→1 with N=GL2(𝔽3) and Q=C10

Direct product G=N×Q with N=GL2(𝔽3) and Q=C10
dρLabelID
C10×GL2(𝔽3)80C10xGL(2,3)480,1017

Semidirect products G=N:Q with N=GL2(𝔽3) and Q=C10
extensionφ:Q→Out NdρLabelID
GL2(𝔽3)⋊1C10 = C5×Q8.D6φ: C10/C5C2 ⊆ Out GL2(𝔽3)804GL(2,3):1C10480,1018
GL2(𝔽3)⋊2C10 = C5×C4.3S4φ: C10/C5C2 ⊆ Out GL2(𝔽3)804GL(2,3):2C10480,1021
GL2(𝔽3)⋊3C10 = C5×C4.6S4φ: trivial image802GL(2,3):3C10480,1020


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