Extensions 1→N→G→Q→1 with N=SL2(𝔽3) and Q=D5

Direct product G=N×Q with N=SL2(𝔽3) and Q=D5
dρLabelID
D5×SL2(𝔽3)404-D5xSL(2,3)240,109

Semidirect products G=N:Q with N=SL2(𝔽3) and Q=D5
extensionφ:Q→Out NdρLabelID
SL2(𝔽3)⋊D5 = Q8⋊D15φ: D5/C5C2 ⊆ Out SL2(𝔽3)404+SL(2,3):D5240,106
SL2(𝔽3)⋊2D5 = Dic5.A4φ: trivial image804+SL(2,3):2D5240,108

Non-split extensions G=N.Q with N=SL2(𝔽3) and Q=D5
extensionφ:Q→Out NdρLabelID
SL2(𝔽3).D5 = Q8.D15φ: D5/C5C2 ⊆ Out SL2(𝔽3)804-SL(2,3).D5240,105

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