# Extensions 1→N→G→Q→1 with N=D7×M4(2) and Q=C2

Direct product G=N×Q with N=D7×M4(2) and Q=C2
dρLabelID
C2×D7×M4(2)112C2xD7xM4(2)448,1196

Semidirect products G=N:Q with N=D7×M4(2) and Q=C2
extensionφ:Q→Out NdρLabelID
(D7×M4(2))⋊1C2 = D7×C8⋊C22φ: C2/C1C2 ⊆ Out D7×M4(2)568+(D7xM4(2)):1C2448,1225
(D7×M4(2))⋊2C2 = SD16⋊D14φ: C2/C1C2 ⊆ Out D7×M4(2)1128-(D7xM4(2)):2C2448,1226
(D7×M4(2))⋊3C2 = D7×C8.C22φ: C2/C1C2 ⊆ Out D7×M4(2)1128-(D7xM4(2)):3C2448,1229
(D7×M4(2))⋊4C2 = D56⋊C22φ: C2/C1C2 ⊆ Out D7×M4(2)1128+(D7xM4(2)):4C2448,1230
(D7×M4(2))⋊5C2 = D7×C4.D4φ: C2/C1C2 ⊆ Out D7×M4(2)568+(D7xM4(2)):5C2448,278
(D7×M4(2))⋊6C2 = M4(2).19D14φ: C2/C1C2 ⊆ Out D7×M4(2)1128-(D7xM4(2)):6C2448,279
(D7×M4(2))⋊7C2 = M4(2).21D14φ: C2/C1C2 ⊆ Out D7×M4(2)1128+(D7xM4(2)):7C2448,285
(D7×M4(2))⋊8C2 = D7×C4≀C2φ: C2/C1C2 ⊆ Out D7×M4(2)564(D7xM4(2)):8C2448,354
(D7×M4(2))⋊9C2 = C42⋊D14φ: C2/C1C2 ⊆ Out D7×M4(2)1124(D7xM4(2)):9C2448,355
(D7×M4(2))⋊10C2 = C28.70C24φ: C2/C1C2 ⊆ Out D7×M4(2)1124(D7xM4(2)):10C2448,1198
(D7×M4(2))⋊11C2 = C56.49C23φ: C2/C1C2 ⊆ Out D7×M4(2)1124(D7xM4(2)):11C2448,1203
(D7×M4(2))⋊12C2 = D7×C8○D4φ: trivial image1124(D7xM4(2)):12C2448,1202

Non-split extensions G=N.Q with N=D7×M4(2) and Q=C2
extensionφ:Q→Out NdρLabelID
(D7×M4(2)).1C2 = D7×C4.10D4φ: C2/C1C2 ⊆ Out D7×M4(2)1128-(D7xM4(2)).1C2448,284
(D7×M4(2)).2C2 = D7×C8.C4φ: C2/C1C2 ⊆ Out D7×M4(2)1124(D7xM4(2)).2C2448,426
(D7×M4(2)).3C2 = M4(2).25D14φ: C2/C1C2 ⊆ Out D7×M4(2)1124(D7xM4(2)).3C2448,427

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