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Extensions 1→N→G→Q→1 with N=C6×SL2(𝔽3) and Q=C2

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

Semidirect products G=N:Q with N=C6×SL2(𝔽3) and Q=C2
extensionφ:Q→Out NdρLabelID
(C6×SL2(𝔽3))⋊1C2 = C2×C6.6S4φ: C2/C1 → C2 ⊆ Out C6×SL2(𝔽3)48(C6xSL(2,3)):1C2288,911
(C6×SL2(𝔽3))⋊2C2 = SL2(𝔽3).D6φ: C2/C1 → C2 ⊆ Out C6×SL2(𝔽3)484(C6xSL(2,3)):2C2288,912
(C6×SL2(𝔽3))⋊3C2 = C2×Dic3.A4φ: C2/C1 → C2 ⊆ Out C6×SL2(𝔽3)96(C6xSL(2,3)):3C2288,921
(C6×SL2(𝔽3))⋊4C2 = C2×S3×SL2(𝔽3)φ: C2/C1 → C2 ⊆ Out C6×SL2(𝔽3)48(C6xSL(2,3)):4C2288,922
(C6×SL2(𝔽3))⋊5C2 = SL2(𝔽3).11D6φ: C2/C1 → C2 ⊆ Out C6×SL2(𝔽3)484(C6xSL(2,3)):5C2288,923
(C6×SL2(𝔽3))⋊6C2 = C6×GL2(𝔽3)φ: C2/C1 → C2 ⊆ Out C6×SL2(𝔽3)48(C6xSL(2,3)):6C2288,900
(C6×SL2(𝔽3))⋊7C2 = C3×Q8.D6φ: C2/C1 → C2 ⊆ Out C6×SL2(𝔽3)484(C6xSL(2,3)):7C2288,901
(C6×SL2(𝔽3))⋊8C2 = C3×D4.A4φ: C2/C1 → C2 ⊆ Out C6×SL2(𝔽3)484(C6xSL(2,3)):8C2288,985
(C6×SL2(𝔽3))⋊9C2 = C6×C4.A4φ: trivial image96(C6xSL(2,3)):9C2288,983

Non-split extensions G=N.Q with N=C6×SL2(𝔽3) and Q=C2
extensionφ:Q→Out NdρLabelID
(C6×SL2(𝔽3)).1C2 = C6.GL2(𝔽3)φ: C2/C1 → C2 ⊆ Out C6×SL2(𝔽3)96(C6xSL(2,3)).1C2288,403
(C6×SL2(𝔽3)).2C2 = Dic3×SL2(𝔽3)φ: C2/C1 → C2 ⊆ Out C6×SL2(𝔽3)96(C6xSL(2,3)).2C2288,409
(C6×SL2(𝔽3)).3C2 = C2×C6.5S4φ: C2/C1 → C2 ⊆ Out C6×SL2(𝔽3)96(C6xSL(2,3)).3C2288,910
(C6×SL2(𝔽3)).4C2 = C3×Q8⋊Dic3φ: C2/C1 → C2 ⊆ Out C6×SL2(𝔽3)96(C6xSL(2,3)).4C2288,399
(C6×SL2(𝔽3)).5C2 = C6×CSU2(𝔽3)φ: C2/C1 → C2 ⊆ Out C6×SL2(𝔽3)96(C6xSL(2,3)).5C2288,899
(C6×SL2(𝔽3)).6C2 = C12×SL2(𝔽3)φ: trivial image96(C6xSL(2,3)).6C2288,633

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