# Extensions 1→N→G→Q→1 with N=C2×M4(2) and Q=C10

Direct product G=N×Q with N=C2×M4(2) and Q=C10
dρLabelID
M4(2)×C2×C10160M4(2)xC2xC10320,1568

Semidirect products G=N:Q with N=C2×M4(2) and Q=C10
extensionφ:Q→Out NdρLabelID
(C2×M4(2))⋊1C10 = C5×C8⋊D4φ: C10/C5C2 ⊆ Out C2×M4(2)160(C2xM4(2)):1C10320,969
(C2×M4(2))⋊2C10 = C5×C82D4φ: C10/C5C2 ⊆ Out C2×M4(2)160(C2xM4(2)):2C10320,970
(C2×M4(2))⋊3C10 = C10×C8⋊C22φ: C10/C5C2 ⊆ Out C2×M4(2)80(C2xM4(2)):3C10320,1575
(C2×M4(2))⋊4C10 = C10×C8.C22φ: C10/C5C2 ⊆ Out C2×M4(2)160(C2xM4(2)):4C10320,1576
(C2×M4(2))⋊5C10 = C5×D8⋊C22φ: C10/C5C2 ⊆ Out C2×M4(2)804(C2xM4(2)):5C10320,1577
(C2×M4(2))⋊6C10 = C5×C24.4C4φ: C10/C5C2 ⊆ Out C2×M4(2)80(C2xM4(2)):6C10320,908
(C2×M4(2))⋊7C10 = C5×(C22×C8)⋊C2φ: C10/C5C2 ⊆ Out C2×M4(2)160(C2xM4(2)):7C10320,909
(C2×M4(2))⋊8C10 = C10×C4.D4φ: C10/C5C2 ⊆ Out C2×M4(2)80(C2xM4(2)):8C10320,912
(C2×M4(2))⋊9C10 = C5×M4(2).8C22φ: C10/C5C2 ⊆ Out C2×M4(2)804(C2xM4(2)):9C10320,914
(C2×M4(2))⋊10C10 = C5×C23.36D4φ: C10/C5C2 ⊆ Out C2×M4(2)160(C2xM4(2)):10C10320,918
(C2×M4(2))⋊11C10 = C5×C23.37D4φ: C10/C5C2 ⊆ Out C2×M4(2)80(C2xM4(2)):11C10320,919
(C2×M4(2))⋊12C10 = C10×C4≀C2φ: C10/C5C2 ⊆ Out C2×M4(2)80(C2xM4(2)):12C10320,921
(C2×M4(2))⋊13C10 = C5×C42⋊C22φ: C10/C5C2 ⊆ Out C2×M4(2)804(C2xM4(2)):13C10320,922
(C2×M4(2))⋊14C10 = C5×C89D4φ: C10/C5C2 ⊆ Out C2×M4(2)160(C2xM4(2)):14C10320,936
(C2×M4(2))⋊15C10 = C5×C86D4φ: C10/C5C2 ⊆ Out C2×M4(2)160(C2xM4(2)):15C10320,937
(C2×M4(2))⋊16C10 = C5×Q8○M4(2)φ: C10/C5C2 ⊆ Out C2×M4(2)804(C2xM4(2)):16C10320,1570
(C2×M4(2))⋊17C10 = C10×C8○D4φ: trivial image160(C2xM4(2)):17C10320,1569

Non-split extensions G=N.Q with N=C2×M4(2) and Q=C10
extensionφ:Q→Out NdρLabelID
(C2×M4(2)).1C10 = C5×M4(2)⋊C4φ: C10/C5C2 ⊆ Out C2×M4(2)160(C2xM4(2)).1C10320,929
(C2×M4(2)).2C10 = C5×M4(2).C4φ: C10/C5C2 ⊆ Out C2×M4(2)804(C2xM4(2)).2C10320,931
(C2×M4(2)).3C10 = C5×C8.D4φ: C10/C5C2 ⊆ Out C2×M4(2)160(C2xM4(2)).3C10320,971
(C2×M4(2)).4C10 = C5×C4.9C42φ: C10/C5C2 ⊆ Out C2×M4(2)804(C2xM4(2)).4C10320,142
(C2×M4(2)).5C10 = C5×C4.10C42φ: C10/C5C2 ⊆ Out C2×M4(2)804(C2xM4(2)).5C10320,143
(C2×M4(2)).6C10 = C5×C426C4φ: C10/C5C2 ⊆ Out C2×M4(2)80(C2xM4(2)).6C10320,144
(C2×M4(2)).7C10 = C5×C4.C42φ: C10/C5C2 ⊆ Out C2×M4(2)160(C2xM4(2)).7C10320,146
(C2×M4(2)).8C10 = C5×C22.C42φ: C10/C5C2 ⊆ Out C2×M4(2)160(C2xM4(2)).8C10320,148
(C2×M4(2)).9C10 = C5×M4(2)⋊4C4φ: C10/C5C2 ⊆ Out C2×M4(2)804(C2xM4(2)).9C10320,149
(C2×M4(2)).10C10 = C5×C23.C8φ: C10/C5C2 ⊆ Out C2×M4(2)804(C2xM4(2)).10C10320,154
(C2×M4(2)).11C10 = C10×C4.10D4φ: C10/C5C2 ⊆ Out C2×M4(2)160(C2xM4(2)).11C10320,913
(C2×M4(2)).12C10 = C5×C23.38D4φ: C10/C5C2 ⊆ Out C2×M4(2)160(C2xM4(2)).12C10320,920
(C2×M4(2)).13C10 = C5×C4⋊M4(2)φ: C10/C5C2 ⊆ Out C2×M4(2)160(C2xM4(2)).13C10320,924
(C2×M4(2)).14C10 = C5×C42.6C22φ: C10/C5C2 ⊆ Out C2×M4(2)160(C2xM4(2)).14C10320,925
(C2×M4(2)).15C10 = C10×C8.C4φ: C10/C5C2 ⊆ Out C2×M4(2)160(C2xM4(2)).15C10320,930
(C2×M4(2)).16C10 = M4(2)×C20φ: trivial image160(C2xM4(2)).16C10320,905
(C2×M4(2)).17C10 = C5×C82M4(2)φ: trivial image160(C2xM4(2)).17C10320,906

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