Extensions 1→N→G→Q→1 with N=C2xM4(2) and Q=C10

Direct product G=NxQ with N=C2xM4(2) and Q=C10
dρLabelID
M4(2)xC2xC10160M4(2)xC2xC10320,1568

Semidirect products G=N:Q with N=C2xM4(2) and Q=C10
extensionφ:Q→Out NdρLabelID
(C2xM4(2)):1C10 = C5xC8:D4φ: C10/C5C2 ⊆ Out C2xM4(2)160(C2xM4(2)):1C10320,969
(C2xM4(2)):2C10 = C5xC8:2D4φ: C10/C5C2 ⊆ Out C2xM4(2)160(C2xM4(2)):2C10320,970
(C2xM4(2)):3C10 = C10xC8:C22φ: C10/C5C2 ⊆ Out C2xM4(2)80(C2xM4(2)):3C10320,1575
(C2xM4(2)):4C10 = C10xC8.C22φ: C10/C5C2 ⊆ Out C2xM4(2)160(C2xM4(2)):4C10320,1576
(C2xM4(2)):5C10 = C5xD8:C22φ: C10/C5C2 ⊆ Out C2xM4(2)804(C2xM4(2)):5C10320,1577
(C2xM4(2)):6C10 = C5xC24.4C4φ: C10/C5C2 ⊆ Out C2xM4(2)80(C2xM4(2)):6C10320,908
(C2xM4(2)):7C10 = C5x(C22xC8):C2φ: C10/C5C2 ⊆ Out C2xM4(2)160(C2xM4(2)):7C10320,909
(C2xM4(2)):8C10 = C10xC4.D4φ: C10/C5C2 ⊆ Out C2xM4(2)80(C2xM4(2)):8C10320,912
(C2xM4(2)):9C10 = C5xM4(2).8C22φ: C10/C5C2 ⊆ Out C2xM4(2)804(C2xM4(2)):9C10320,914
(C2xM4(2)):10C10 = C5xC23.36D4φ: C10/C5C2 ⊆ Out C2xM4(2)160(C2xM4(2)):10C10320,918
(C2xM4(2)):11C10 = C5xC23.37D4φ: C10/C5C2 ⊆ Out C2xM4(2)80(C2xM4(2)):11C10320,919
(C2xM4(2)):12C10 = C10xC4wrC2φ: C10/C5C2 ⊆ Out C2xM4(2)80(C2xM4(2)):12C10320,921
(C2xM4(2)):13C10 = C5xC42:C22φ: C10/C5C2 ⊆ Out C2xM4(2)804(C2xM4(2)):13C10320,922
(C2xM4(2)):14C10 = C5xC8:9D4φ: C10/C5C2 ⊆ Out C2xM4(2)160(C2xM4(2)):14C10320,936
(C2xM4(2)):15C10 = C5xC8:6D4φ: C10/C5C2 ⊆ Out C2xM4(2)160(C2xM4(2)):15C10320,937
(C2xM4(2)):16C10 = C5xQ8oM4(2)φ: C10/C5C2 ⊆ Out C2xM4(2)804(C2xM4(2)):16C10320,1570
(C2xM4(2)):17C10 = C10xC8oD4φ: trivial image160(C2xM4(2)):17C10320,1569

Non-split extensions G=N.Q with N=C2xM4(2) and Q=C10
extensionφ:Q→Out NdρLabelID
(C2xM4(2)).1C10 = C5xM4(2):C4φ: C10/C5C2 ⊆ Out C2xM4(2)160(C2xM4(2)).1C10320,929
(C2xM4(2)).2C10 = C5xM4(2).C4φ: C10/C5C2 ⊆ Out C2xM4(2)804(C2xM4(2)).2C10320,931
(C2xM4(2)).3C10 = C5xC8.D4φ: C10/C5C2 ⊆ Out C2xM4(2)160(C2xM4(2)).3C10320,971
(C2xM4(2)).4C10 = C5xC4.9C42φ: C10/C5C2 ⊆ Out C2xM4(2)804(C2xM4(2)).4C10320,142
(C2xM4(2)).5C10 = C5xC4.10C42φ: C10/C5C2 ⊆ Out C2xM4(2)804(C2xM4(2)).5C10320,143
(C2xM4(2)).6C10 = C5xC42:6C4φ: C10/C5C2 ⊆ Out C2xM4(2)80(C2xM4(2)).6C10320,144
(C2xM4(2)).7C10 = C5xC4.C42φ: C10/C5C2 ⊆ Out C2xM4(2)160(C2xM4(2)).7C10320,146
(C2xM4(2)).8C10 = C5xC22.C42φ: C10/C5C2 ⊆ Out C2xM4(2)160(C2xM4(2)).8C10320,148
(C2xM4(2)).9C10 = C5xM4(2):4C4φ: C10/C5C2 ⊆ Out C2xM4(2)804(C2xM4(2)).9C10320,149
(C2xM4(2)).10C10 = C5xC23.C8φ: C10/C5C2 ⊆ Out C2xM4(2)804(C2xM4(2)).10C10320,154
(C2xM4(2)).11C10 = C10xC4.10D4φ: C10/C5C2 ⊆ Out C2xM4(2)160(C2xM4(2)).11C10320,913
(C2xM4(2)).12C10 = C5xC23.38D4φ: C10/C5C2 ⊆ Out C2xM4(2)160(C2xM4(2)).12C10320,920
(C2xM4(2)).13C10 = C5xC4:M4(2)φ: C10/C5C2 ⊆ Out C2xM4(2)160(C2xM4(2)).13C10320,924
(C2xM4(2)).14C10 = C5xC42.6C22φ: C10/C5C2 ⊆ Out C2xM4(2)160(C2xM4(2)).14C10320,925
(C2xM4(2)).15C10 = C10xC8.C4φ: C10/C5C2 ⊆ Out C2xM4(2)160(C2xM4(2)).15C10320,930
(C2xM4(2)).16C10 = M4(2)xC20φ: trivial image160(C2xM4(2)).16C10320,905
(C2xM4(2)).17C10 = C5xC8o2M4(2)φ: trivial image160(C2xM4(2)).17C10320,906

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