# Extensions 1→N→G→Q→1 with N=C22×SL2(𝔽3) and Q=C2

Direct product G=N×Q with N=C22×SL2(𝔽3) and Q=C2
dρLabelID
C23×SL2(𝔽3)64C2^3xSL(2,3)192,1498

Semidirect products G=N:Q with N=C22×SL2(𝔽3) and Q=C2
extensionφ:Q→Out NdρLabelID
(C22×SL2(𝔽3))⋊1C2 = SL2(𝔽3)⋊5D4φ: C2/C1C2 ⊆ Out C22×SL2(𝔽3)32(C2^2xSL(2,3)):1C2192,1003
(C22×SL2(𝔽3))⋊2C2 = D4×SL2(𝔽3)φ: C2/C1C2 ⊆ Out C22×SL2(𝔽3)32(C2^2xSL(2,3)):2C2192,1004
(C22×SL2(𝔽3))⋊3C2 = C2×D4.A4φ: C2/C1C2 ⊆ Out C22×SL2(𝔽3)32(C2^2xSL(2,3)):3C2192,1503
(C22×SL2(𝔽3))⋊4C2 = C23.16S4φ: C2/C1C2 ⊆ Out C22×SL2(𝔽3)32(C2^2xSL(2,3)):4C2192,980
(C22×SL2(𝔽3))⋊5C2 = C22×GL2(𝔽3)φ: C2/C1C2 ⊆ Out C22×SL2(𝔽3)32(C2^2xSL(2,3)):5C2192,1475
(C22×SL2(𝔽3))⋊6C2 = C2×Q8.D6φ: C2/C1C2 ⊆ Out C22×SL2(𝔽3)32(C2^2xSL(2,3)):6C2192,1476
(C22×SL2(𝔽3))⋊7C2 = C22×C4.A4φ: trivial image64(C2^2xSL(2,3)):7C2192,1500

Non-split extensions G=N.Q with N=C22×SL2(𝔽3) and Q=C2
extensionφ:Q→Out NdρLabelID
(C22×SL2(𝔽3)).1C2 = (C2×Q8)⋊C12φ: C2/C1C2 ⊆ Out C22×SL2(𝔽3)32(C2^2xSL(2,3)).1C2192,998
(C22×SL2(𝔽3)).2C2 = C2×Q8⋊Dic3φ: C2/C1C2 ⊆ Out C22×SL2(𝔽3)64(C2^2xSL(2,3)).2C2192,977
(C22×SL2(𝔽3)).3C2 = C23.14S4φ: C2/C1C2 ⊆ Out C22×SL2(𝔽3)32(C2^2xSL(2,3)).3C2192,978
(C22×SL2(𝔽3)).4C2 = C23.15S4φ: C2/C1C2 ⊆ Out C22×SL2(𝔽3)32(C2^2xSL(2,3)).4C2192,979
(C22×SL2(𝔽3)).5C2 = C22×CSU2(𝔽3)φ: C2/C1C2 ⊆ Out C22×SL2(𝔽3)64(C2^2xSL(2,3)).5C2192,1474
(C22×SL2(𝔽3)).6C2 = C2×C4×SL2(𝔽3)φ: trivial image64(C2^2xSL(2,3)).6C2192,996

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