# Extensions 1→N→G→Q→1 with N=D5×M4(2) and Q=C2

Direct product G=N×Q with N=D5×M4(2) and Q=C2
dρLabelID
C2×D5×M4(2)80C2xD5xM4(2)320,1415

Semidirect products G=N:Q with N=D5×M4(2) and Q=C2
extensionφ:Q→Out NdρLabelID
(D5×M4(2))⋊1C2 = D5×C8⋊C22φ: C2/C1C2 ⊆ Out D5×M4(2)408+(D5xM4(2)):1C2320,1444
(D5×M4(2))⋊2C2 = SD16⋊D10φ: C2/C1C2 ⊆ Out D5×M4(2)808-(D5xM4(2)):2C2320,1445
(D5×M4(2))⋊3C2 = D5×C8.C22φ: C2/C1C2 ⊆ Out D5×M4(2)808-(D5xM4(2)):3C2320,1448
(D5×M4(2))⋊4C2 = D40⋊C22φ: C2/C1C2 ⊆ Out D5×M4(2)808+(D5xM4(2)):4C2320,1449
(D5×M4(2))⋊5C2 = D5×C4.D4φ: C2/C1C2 ⊆ Out D5×M4(2)408+(D5xM4(2)):5C2320,371
(D5×M4(2))⋊6C2 = M4(2).19D10φ: C2/C1C2 ⊆ Out D5×M4(2)808-(D5xM4(2)):6C2320,372
(D5×M4(2))⋊7C2 = M4(2).21D10φ: C2/C1C2 ⊆ Out D5×M4(2)808+(D5xM4(2)):7C2320,378
(D5×M4(2))⋊8C2 = D5×C4≀C2φ: C2/C1C2 ⊆ Out D5×M4(2)404(D5xM4(2)):8C2320,447
(D5×M4(2))⋊9C2 = C42⋊D10φ: C2/C1C2 ⊆ Out D5×M4(2)804(D5xM4(2)):9C2320,448
(D5×M4(2))⋊10C2 = C40.47C23φ: C2/C1C2 ⊆ Out D5×M4(2)804(D5xM4(2)):10C2320,1417
(D5×M4(2))⋊11C2 = C20.72C24φ: C2/C1C2 ⊆ Out D5×M4(2)804(D5xM4(2)):11C2320,1422
(D5×M4(2))⋊12C2 = D5×C8○D4φ: trivial image804(D5xM4(2)):12C2320,1421

Non-split extensions G=N.Q with N=D5×M4(2) and Q=C2
extensionφ:Q→Out NdρLabelID
(D5×M4(2)).1C2 = M4(2)⋊1F5φ: C2/C1C2 ⊆ Out D5×M4(2)408(D5xM4(2)).1C2320,1065
(D5×M4(2)).2C2 = M4(2).1F5φ: C2/C1C2 ⊆ Out D5×M4(2)808(D5xM4(2)).2C2320,1067
(D5×M4(2)).3C2 = M4(2)⋊F5φ: C2/C1C2 ⊆ Out D5×M4(2)408(D5xM4(2)).3C2320,237
(D5×M4(2)).4C2 = M4(2)⋊3F5φ: C2/C1C2 ⊆ Out D5×M4(2)408(D5xM4(2)).4C2320,238
(D5×M4(2)).5C2 = M4(2).F5φ: C2/C1C2 ⊆ Out D5×M4(2)808(D5xM4(2)).5C2320,239
(D5×M4(2)).6C2 = M4(2)⋊4F5φ: C2/C1C2 ⊆ Out D5×M4(2)808(D5xM4(2)).6C2320,240
(D5×M4(2)).7C2 = D5×C4.10D4φ: C2/C1C2 ⊆ Out D5×M4(2)808-(D5xM4(2)).7C2320,377
(D5×M4(2)).8C2 = D5×C8.C4φ: C2/C1C2 ⊆ Out D5×M4(2)804(D5xM4(2)).8C2320,519
(D5×M4(2)).9C2 = M4(2).25D10φ: C2/C1C2 ⊆ Out D5×M4(2)804(D5xM4(2)).9C2320,520
(D5×M4(2)).10C2 = M4(2)×F5φ: C2/C1C2 ⊆ Out D5×M4(2)408(D5xM4(2)).10C2320,1064
(D5×M4(2)).11C2 = M4(2)⋊5F5φ: C2/C1C2 ⊆ Out D5×M4(2)808(D5xM4(2)).11C2320,1066

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