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Extensions 1→N→G→Q→1 with N=C2×M4(2) and Q=C6

Direct product G=N×Q with N=C2×M4(2) and Q=C6
dρLabelID
C2×C6×M4(2)96C2xC6xM4(2)192,1455

Semidirect products G=N:Q with N=C2×M4(2) and Q=C6
extensionφ:Q→Out NdρLabelID
(C2×M4(2))⋊1C6 = C3×C8⋊D4φ: C6/C3 → C2 ⊆ Out C2×M4(2)96(C2xM4(2)):1C6192,901
(C2×M4(2))⋊2C6 = C3×C8⋊2D4φ: C6/C3 → C2 ⊆ Out C2×M4(2)96(C2xM4(2)):2C6192,902
(C2×M4(2))⋊3C6 = C6×C8⋊C22φ: C6/C3 → C2 ⊆ Out C2×M4(2)48(C2xM4(2)):3C6192,1462
(C2×M4(2))⋊4C6 = C6×C8.C22φ: C6/C3 → C2 ⊆ Out C2×M4(2)96(C2xM4(2)):4C6192,1463
(C2×M4(2))⋊5C6 = C3×D8⋊C22φ: C6/C3 → C2 ⊆ Out C2×M4(2)484(C2xM4(2)):5C6192,1464
(C2×M4(2))⋊6C6 = C3×C24.4C4φ: C6/C3 → C2 ⊆ Out C2×M4(2)48(C2xM4(2)):6C6192,840
(C2×M4(2))⋊7C6 = C3×(C22×C8)⋊C2φ: C6/C3 → C2 ⊆ Out C2×M4(2)96(C2xM4(2)):7C6192,841
(C2×M4(2))⋊8C6 = C6×C4.D4φ: C6/C3 → C2 ⊆ Out C2×M4(2)48(C2xM4(2)):8C6192,844
(C2×M4(2))⋊9C6 = C3×M4(2).8C22φ: C6/C3 → C2 ⊆ Out C2×M4(2)484(C2xM4(2)):9C6192,846
(C2×M4(2))⋊10C6 = C3×C23.36D4φ: C6/C3 → C2 ⊆ Out C2×M4(2)96(C2xM4(2)):10C6192,850
(C2×M4(2))⋊11C6 = C3×C23.37D4φ: C6/C3 → C2 ⊆ Out C2×M4(2)48(C2xM4(2)):11C6192,851
(C2×M4(2))⋊12C6 = C6×C4≀C2φ: C6/C3 → C2 ⊆ Out C2×M4(2)48(C2xM4(2)):12C6192,853
(C2×M4(2))⋊13C6 = C3×C42⋊C22φ: C6/C3 → C2 ⊆ Out C2×M4(2)484(C2xM4(2)):13C6192,854
(C2×M4(2))⋊14C6 = C3×C8⋊9D4φ: C6/C3 → C2 ⊆ Out C2×M4(2)96(C2xM4(2)):14C6192,868
(C2×M4(2))⋊15C6 = C3×C8⋊6D4φ: C6/C3 → C2 ⊆ Out C2×M4(2)96(C2xM4(2)):15C6192,869
(C2×M4(2))⋊16C6 = C3×Q8○M4(2)φ: C6/C3 → C2 ⊆ Out C2×M4(2)484(C2xM4(2)):16C6192,1457
(C2×M4(2))⋊17C6 = C6×C8○D4φ: trivial image96(C2xM4(2)):17C6192,1456

Non-split extensions G=N.Q with N=C2×M4(2) and Q=C6
extensionφ:Q→Out NdρLabelID
(C2×M4(2)).1C6 = C3×M4(2)⋊C4φ: C6/C3 → C2 ⊆ Out C2×M4(2)96(C2xM4(2)).1C6192,861
(C2×M4(2)).2C6 = C3×M4(2).C4φ: C6/C3 → C2 ⊆ Out C2×M4(2)484(C2xM4(2)).2C6192,863
(C2×M4(2)).3C6 = C3×C8.D4φ: C6/C3 → C2 ⊆ Out C2×M4(2)96(C2xM4(2)).3C6192,903
(C2×M4(2)).4C6 = C3×C4.9C42φ: C6/C3 → C2 ⊆ Out C2×M4(2)484(C2xM4(2)).4C6192,143
(C2×M4(2)).5C6 = C3×C4.10C42φ: C6/C3 → C2 ⊆ Out C2×M4(2)484(C2xM4(2)).5C6192,144
(C2×M4(2)).6C6 = C3×C42⋊6C4φ: C6/C3 → C2 ⊆ Out C2×M4(2)48(C2xM4(2)).6C6192,145
(C2×M4(2)).7C6 = C3×C4.C42φ: C6/C3 → C2 ⊆ Out C2×M4(2)96(C2xM4(2)).7C6192,147
(C2×M4(2)).8C6 = C3×C22.C42φ: C6/C3 → C2 ⊆ Out C2×M4(2)96(C2xM4(2)).8C6192,149
(C2×M4(2)).9C6 = C3×M4(2)⋊4C4φ: C6/C3 → C2 ⊆ Out C2×M4(2)484(C2xM4(2)).9C6192,150
(C2×M4(2)).10C6 = C3×C23.C8φ: C6/C3 → C2 ⊆ Out C2×M4(2)484(C2xM4(2)).10C6192,155
(C2×M4(2)).11C6 = C6×C4.10D4φ: C6/C3 → C2 ⊆ Out C2×M4(2)96(C2xM4(2)).11C6192,845
(C2×M4(2)).12C6 = C3×C23.38D4φ: C6/C3 → C2 ⊆ Out C2×M4(2)96(C2xM4(2)).12C6192,852
(C2×M4(2)).13C6 = C3×C4⋊M4(2)φ: C6/C3 → C2 ⊆ Out C2×M4(2)96(C2xM4(2)).13C6192,856
(C2×M4(2)).14C6 = C3×C42.6C22φ: C6/C3 → C2 ⊆ Out C2×M4(2)96(C2xM4(2)).14C6192,857
(C2×M4(2)).15C6 = C6×C8.C4φ: C6/C3 → C2 ⊆ Out C2×M4(2)96(C2xM4(2)).15C6192,862
(C2×M4(2)).16C6 = C12×M4(2)φ: trivial image96(C2xM4(2)).16C6192,837
(C2×M4(2)).17C6 = C3×C8○2M4(2)φ: trivial image96(C2xM4(2)).17C6192,838

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