Extensions 1→N→G→Q→1 with N=SL2(𝔽3) and Q=D7

Direct product G=N×Q with N=SL2(𝔽3) and Q=D7
dρLabelID
D7×SL2(𝔽3)564-D7xSL(2,3)336,132

Semidirect products G=N:Q with N=SL2(𝔽3) and Q=D7
extensionφ:Q→Out NdρLabelID
SL2(𝔽3)⋊D7 = Q8⋊D21φ: D7/C7C2 ⊆ Out SL2(𝔽3)564+SL(2,3):D7336,119
SL2(𝔽3)⋊2D7 = Dic7.2A4φ: trivial image1124+SL(2,3):2D7336,131

Non-split extensions G=N.Q with N=SL2(𝔽3) and Q=D7
extensionφ:Q→Out NdρLabelID
SL2(𝔽3).D7 = Q8.D21φ: D7/C7C2 ⊆ Out SL2(𝔽3)1124-SL(2,3).D7336,118

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