# Extensions 1→N→G→Q→1 with N=C32×SL2(𝔽3) and Q=C2

Direct product G=N×Q with N=C32×SL2(𝔽3) and Q=C2
dρLabelID
C3×C6×SL2(𝔽3)144C3xC6xSL(2,3)432,698

Semidirect products G=N:Q with N=C32×SL2(𝔽3) and Q=C2
extensionφ:Q→Out NdρLabelID
(C32×SL2(𝔽3))⋊1C2 = C3×C6.6S4φ: C2/C1C2 ⊆ Out C32×SL2(𝔽3)484(C3^2xSL(2,3)):1C2432,617
(C32×SL2(𝔽3))⋊2C2 = C325GL2(𝔽3)φ: C2/C1C2 ⊆ Out C32×SL2(𝔽3)72(C3^2xSL(2,3)):2C2432,620
(C32×SL2(𝔽3))⋊3C2 = C3×Dic3.A4φ: C2/C1C2 ⊆ Out C32×SL2(𝔽3)484(C3^2xSL(2,3)):3C2432,622
(C32×SL2(𝔽3))⋊4C2 = C3×S3×SL2(𝔽3)φ: C2/C1C2 ⊆ Out C32×SL2(𝔽3)484(C3^2xSL(2,3)):4C2432,623
(C32×SL2(𝔽3))⋊5C2 = C3⋊Dic3.2A4φ: C2/C1C2 ⊆ Out C32×SL2(𝔽3)144(C3^2xSL(2,3)):5C2432,625
(C32×SL2(𝔽3))⋊6C2 = C3⋊S3×SL2(𝔽3)φ: C2/C1C2 ⊆ Out C32×SL2(𝔽3)72(C3^2xSL(2,3)):6C2432,626
(C32×SL2(𝔽3))⋊7C2 = C32×GL2(𝔽3)φ: C2/C1C2 ⊆ Out C32×SL2(𝔽3)72(C3^2xSL(2,3)):7C2432,614
(C32×SL2(𝔽3))⋊8C2 = C32×C4.A4φ: trivial image144(C3^2xSL(2,3)):8C2432,699

Non-split extensions G=N.Q with N=C32×SL2(𝔽3) and Q=C2
extensionφ:Q→Out NdρLabelID
(C32×SL2(𝔽3)).1C2 = C3×C6.5S4φ: C2/C1C2 ⊆ Out C32×SL2(𝔽3)484(C3^2xSL(2,3)).1C2432,616
(C32×SL2(𝔽3)).2C2 = C324CSU2(𝔽3)φ: C2/C1C2 ⊆ Out C32×SL2(𝔽3)144(C3^2xSL(2,3)).2C2432,619
(C32×SL2(𝔽3)).3C2 = C32×CSU2(𝔽3)φ: C2/C1C2 ⊆ Out C32×SL2(𝔽3)144(C3^2xSL(2,3)).3C2432,613

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