Extensions 1→N→G→Q→1 with N=SL2(𝔽3) and Q=C18

Direct product G=N×Q with N=SL2(𝔽3) and Q=C18
dρLabelID
C18×SL2(𝔽3)144C18xSL(2,3)432,327

Semidirect products G=N:Q with N=SL2(𝔽3) and Q=C18
extensionφ:Q→Out NdρLabelID
SL2(𝔽3)⋊C18 = C9×GL2(𝔽3)φ: C18/C9C2 ⊆ Out SL2(𝔽3)722SL(2,3):C18432,241
SL2(𝔽3)⋊2C18 = C9×C4.A4φ: trivial image1442SL(2,3):2C18432,329

Non-split extensions G=N.Q with N=SL2(𝔽3) and Q=C18
extensionφ:Q→Out NdρLabelID
SL2(𝔽3).C18 = C9×CSU2(𝔽3)φ: C18/C9C2 ⊆ Out SL2(𝔽3)1442SL(2,3).C18432,240

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