# Extensions 1→N→G→Q→1 with N=C3×SL2(𝔽3) and Q=C22

Direct product G=N×Q with N=C3×SL2(𝔽3) and Q=C22
dρLabelID
C2×C6×SL2(𝔽3)96C2xC6xSL(2,3)288,981

Semidirect products G=N:Q with N=C3×SL2(𝔽3) and Q=C22
extensionφ:Q→Out NdρLabelID
(C3×SL2(𝔽3))⋊1C22 = GL2(𝔽3)⋊S3φ: C22/C1C22 ⊆ Out C3×SL2(𝔽3)484+(C3xSL(2,3)):1C2^2288,847
(C3×SL2(𝔽3))⋊2C22 = S3×GL2(𝔽3)φ: C22/C1C22 ⊆ Out C3×SL2(𝔽3)244(C3xSL(2,3)):2C2^2288,851
(C3×SL2(𝔽3))⋊3C22 = C2×C6.6S4φ: C22/C2C2 ⊆ Out C3×SL2(𝔽3)48(C3xSL(2,3)):3C2^2288,911
(C3×SL2(𝔽3))⋊4C22 = C12.7S4φ: C22/C2C2 ⊆ Out C3×SL2(𝔽3)484+(C3xSL(2,3)):4C2^2288,915
(C3×SL2(𝔽3))⋊5C22 = C2×Dic3.A4φ: C22/C2C2 ⊆ Out C3×SL2(𝔽3)96(C3xSL(2,3)):5C2^2288,921
(C3×SL2(𝔽3))⋊6C22 = C2×S3×SL2(𝔽3)φ: C22/C2C2 ⊆ Out C3×SL2(𝔽3)48(C3xSL(2,3)):6C2^2288,922
(C3×SL2(𝔽3))⋊7C22 = Dic6.A4φ: C22/C2C2 ⊆ Out C3×SL2(𝔽3)724+(C3xSL(2,3)):7C2^2288,924
(C3×SL2(𝔽3))⋊8C22 = S3×C4.A4φ: C22/C2C2 ⊆ Out C3×SL2(𝔽3)484(C3xSL(2,3)):8C2^2288,925
(C3×SL2(𝔽3))⋊9C22 = C6×GL2(𝔽3)φ: C22/C2C2 ⊆ Out C3×SL2(𝔽3)48(C3xSL(2,3)):9C2^2288,900
(C3×SL2(𝔽3))⋊10C22 = C3×C4.3S4φ: C22/C2C2 ⊆ Out C3×SL2(𝔽3)484(C3xSL(2,3)):10C2^2288,904
(C3×SL2(𝔽3))⋊11C22 = C6×C4.A4φ: trivial image96(C3xSL(2,3)):11C2^2288,983
(C3×SL2(𝔽3))⋊12C22 = C3×Q8.A4φ: trivial image724(C3xSL(2,3)):12C2^2288,984

Non-split extensions G=N.Q with N=C3×SL2(𝔽3) and Q=C22
extensionφ:Q→Out NdρLabelID
(C3×SL2(𝔽3)).1C22 = CSU2(𝔽3)⋊S3φ: C22/C1C22 ⊆ Out C3×SL2(𝔽3)964(C3xSL(2,3)).1C2^2288,844
(C3×SL2(𝔽3)).2C22 = Dic3.4S4φ: C22/C1C22 ⊆ Out C3×SL2(𝔽3)484(C3xSL(2,3)).2C2^2288,845
(C3×SL2(𝔽3)).3C22 = Dic3.5S4φ: C22/C1C22 ⊆ Out C3×SL2(𝔽3)484+(C3xSL(2,3)).3C2^2288,846
(C3×SL2(𝔽3)).4C22 = S3×CSU2(𝔽3)φ: C22/C1C22 ⊆ Out C3×SL2(𝔽3)484-(C3xSL(2,3)).4C2^2288,848
(C3×SL2(𝔽3)).5C22 = D6.S4φ: C22/C1C22 ⊆ Out C3×SL2(𝔽3)484-(C3xSL(2,3)).5C2^2288,849
(C3×SL2(𝔽3)).6C22 = D6.2S4φ: C22/C1C22 ⊆ Out C3×SL2(𝔽3)484(C3xSL(2,3)).6C2^2288,850
(C3×SL2(𝔽3)).7C22 = C2×C6.5S4φ: C22/C2C2 ⊆ Out C3×SL2(𝔽3)96(C3xSL(2,3)).7C2^2288,910
(C3×SL2(𝔽3)).8C22 = SL2(𝔽3).D6φ: C22/C2C2 ⊆ Out C3×SL2(𝔽3)484(C3xSL(2,3)).8C2^2288,912
(C3×SL2(𝔽3)).9C22 = C12.6S4φ: C22/C2C2 ⊆ Out C3×SL2(𝔽3)964-(C3xSL(2,3)).9C2^2288,913
(C3×SL2(𝔽3)).10C22 = C12.14S4φ: C22/C2C2 ⊆ Out C3×SL2(𝔽3)484(C3xSL(2,3)).10C2^2288,914
(C3×SL2(𝔽3)).11C22 = SL2(𝔽3).11D6φ: C22/C2C2 ⊆ Out C3×SL2(𝔽3)484(C3xSL(2,3)).11C2^2288,923
(C3×SL2(𝔽3)).12C22 = D12.A4φ: C22/C2C2 ⊆ Out C3×SL2(𝔽3)484-(C3xSL(2,3)).12C2^2288,926
(C3×SL2(𝔽3)).13C22 = C6×CSU2(𝔽3)φ: C22/C2C2 ⊆ Out C3×SL2(𝔽3)96(C3xSL(2,3)).13C2^2288,899
(C3×SL2(𝔽3)).14C22 = C3×Q8.D6φ: C22/C2C2 ⊆ Out C3×SL2(𝔽3)484(C3xSL(2,3)).14C2^2288,901
(C3×SL2(𝔽3)).15C22 = C3×C4.S4φ: C22/C2C2 ⊆ Out C3×SL2(𝔽3)964(C3xSL(2,3)).15C2^2288,902
(C3×SL2(𝔽3)).16C22 = C3×C4.6S4φ: C22/C2C2 ⊆ Out C3×SL2(𝔽3)482(C3xSL(2,3)).16C2^2288,903
(C3×SL2(𝔽3)).17C22 = C3×D4.A4φ: trivial image484(C3xSL(2,3)).17C2^2288,985

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