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

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

Semidirect products G=N:Q with N=C2×SL2(𝔽3) and Q=C22
extensionφ:Q→Out NdρLabelID
(C2×SL2(𝔽3))⋊C22 = D4.4S4φ: C22/C1 → C22 ⊆ Out C2×SL2(𝔽3)164(C2xSL(2,3)):C2^2192,1485
(C2×SL2(𝔽3))⋊2C22 = C2×D4.A4φ: C22/C2 → C2 ⊆ Out C2×SL2(𝔽3)32(C2xSL(2,3)):2C2^2192,1503
(C2×SL2(𝔽3))⋊3C22 = 2- 1+4⋊3C6φ: C22/C2 → C2 ⊆ Out C2×SL2(𝔽3)324(C2xSL(2,3)):3C2^2192,1504
(C2×SL2(𝔽3))⋊4C22 = C22×GL2(𝔽3)φ: C22/C2 → C2 ⊆ Out C2×SL2(𝔽3)32(C2xSL(2,3)):4C2^2192,1475
(C2×SL2(𝔽3))⋊5C22 = C2×Q8.D6φ: C22/C2 → C2 ⊆ Out C2×SL2(𝔽3)32(C2xSL(2,3)):5C2^2192,1476
(C2×SL2(𝔽3))⋊6C22 = C2×C4.3S4φ: C22/C2 → C2 ⊆ Out C2×SL2(𝔽3)32(C2xSL(2,3)):6C2^2192,1481
(C2×SL2(𝔽3))⋊7C22 = GL2(𝔽3)⋊C22φ: C22/C2 → C2 ⊆ Out C2×SL2(𝔽3)324(C2xSL(2,3)):7C2^2192,1482
(C2×SL2(𝔽3))⋊8C22 = C22×C4.A4φ: trivial image64(C2xSL(2,3)):8C2^2192,1500
(C2×SL2(𝔽3))⋊9C22 = C2×Q8.A4φ: trivial image48(C2xSL(2,3)):9C2^2192,1502

Non-split extensions G=N.Q with N=C2×SL2(𝔽3) and Q=C22
extensionφ:Q→Out NdρLabelID
(C2×SL2(𝔽3)).C22 = D4.5S4φ: C22/C1 → C22 ⊆ Out C2×SL2(𝔽3)324-(C2xSL(2,3)).C2^2192,1486
(C2×SL2(𝔽3)).2C22 = Q8⋊Dic6φ: C22/C2 → C2 ⊆ Out C2×SL2(𝔽3)64(C2xSL(2,3)).2C2^2192,945
(C2×SL2(𝔽3)).3C22 = C4×CSU2(𝔽3)φ: C22/C2 → C2 ⊆ Out C2×SL2(𝔽3)64(C2xSL(2,3)).3C2^2192,946
(C2×SL2(𝔽3)).4C22 = CSU2(𝔽3)⋊C4φ: C22/C2 → C2 ⊆ Out C2×SL2(𝔽3)64(C2xSL(2,3)).4C2^2192,947
(C2×SL2(𝔽3)).5C22 = Q8.Dic6φ: C22/C2 → C2 ⊆ Out C2×SL2(𝔽3)64(C2xSL(2,3)).5C2^2192,948
(C2×SL2(𝔽3)).6C22 = Q8.D12φ: C22/C2 → C2 ⊆ Out C2×SL2(𝔽3)64(C2xSL(2,3)).6C2^2192,949
(C2×SL2(𝔽3)).7C22 = SL2(𝔽3)⋊Q8φ: C22/C2 → C2 ⊆ Out C2×SL2(𝔽3)64(C2xSL(2,3)).7C2^2192,950
(C2×SL2(𝔽3)).8C22 = C4×GL2(𝔽3)φ: C22/C2 → C2 ⊆ Out C2×SL2(𝔽3)32(C2xSL(2,3)).8C2^2192,951
(C2×SL2(𝔽3)).9C22 = Q8⋊D12φ: C22/C2 → C2 ⊆ Out C2×SL2(𝔽3)32(C2xSL(2,3)).9C2^2192,952
(C2×SL2(𝔽3)).10C22 = GL2(𝔽3)⋊C4φ: C22/C2 → C2 ⊆ Out C2×SL2(𝔽3)32(C2xSL(2,3)).10C2^2192,953
(C2×SL2(𝔽3)).11C22 = Q8.2D12φ: C22/C2 → C2 ⊆ Out C2×SL2(𝔽3)32(C2xSL(2,3)).11C2^2192,954
(C2×SL2(𝔽3)).12C22 = C2×Q8⋊Dic3φ: C22/C2 → C2 ⊆ Out C2×SL2(𝔽3)64(C2xSL(2,3)).12C2^2192,977
(C2×SL2(𝔽3)).13C22 = C23.14S4φ: C22/C2 → C2 ⊆ Out C2×SL2(𝔽3)32(C2xSL(2,3)).13C2^2192,978
(C2×SL2(𝔽3)).14C22 = C23.15S4φ: C22/C2 → C2 ⊆ Out C2×SL2(𝔽3)32(C2xSL(2,3)).14C2^2192,979
(C2×SL2(𝔽3)).15C22 = C23.16S4φ: C22/C2 → C2 ⊆ Out C2×SL2(𝔽3)32(C2xSL(2,3)).15C2^2192,980
(C2×SL2(𝔽3)).16C22 = C4.A4⋊C4φ: C22/C2 → C2 ⊆ Out C2×SL2(𝔽3)64(C2xSL(2,3)).16C2^2192,983
(C2×SL2(𝔽3)).17C22 = SL2(𝔽3).D4φ: C22/C2 → C2 ⊆ Out C2×SL2(𝔽3)64(C2xSL(2,3)).17C2^2192,984
(C2×SL2(𝔽3)).18C22 = (C2×C4).S4φ: C22/C2 → C2 ⊆ Out C2×SL2(𝔽3)64(C2xSL(2,3)).18C2^2192,985
(C2×SL2(𝔽3)).19C22 = SL2(𝔽3)⋊D4φ: C22/C2 → C2 ⊆ Out C2×SL2(𝔽3)32(C2xSL(2,3)).19C2^2192,986
(C2×SL2(𝔽3)).20C22 = C22×CSU2(𝔽3)φ: C22/C2 → C2 ⊆ Out C2×SL2(𝔽3)64(C2xSL(2,3)).20C2^2192,1474
(C2×SL2(𝔽3)).21C22 = C2×C4.S4φ: C22/C2 → C2 ⊆ Out C2×SL2(𝔽3)64(C2xSL(2,3)).21C2^2192,1479
(C2×SL2(𝔽3)).22C22 = C2×C4.6S4φ: C22/C2 → C2 ⊆ Out C2×SL2(𝔽3)32(C2xSL(2,3)).22C2^2192,1480
(C2×SL2(𝔽3)).23C22 = C2×C4×SL2(𝔽3)φ: trivial image64(C2xSL(2,3)).23C2^2192,996
(C2×SL2(𝔽3)).24C22 = C4×C4.A4φ: trivial image64(C2xSL(2,3)).24C2^2192,997
(C2×SL2(𝔽3)).25C22 = (C2×Q8)⋊C12φ: trivial image32(C2xSL(2,3)).25C2^2192,998
(C2×SL2(𝔽3)).26C22 = C4○D4⋊C12φ: trivial image64(C2xSL(2,3)).26C2^2192,999
(C2×SL2(𝔽3)).27C22 = SL2(𝔽3)⋊5D4φ: trivial image32(C2xSL(2,3)).27C2^2192,1003
(C2×SL2(𝔽3)).28C22 = D4×SL2(𝔽3)φ: trivial image32(C2xSL(2,3)).28C2^2192,1004
(C2×SL2(𝔽3)).29C22 = SL2(𝔽3)⋊6D4φ: trivial image64(C2xSL(2,3)).29C2^2192,1005
(C2×SL2(𝔽3)).30C22 = SL2(𝔽3)⋊3Q8φ: trivial image64(C2xSL(2,3)).30C2^2192,1006
(C2×SL2(𝔽3)).31C22 = Q8×SL2(𝔽3)φ: trivial image64(C2xSL(2,3)).31C2^2192,1007

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