Extensions 1→N→G→Q→1 with N=C7×M4(2) and Q=C2

Direct product G=N×Q with N=C7×M4(2) and Q=C2
dρLabelID
C14×M4(2)112C14xM4(2)224,165

Semidirect products G=N:Q with N=C7×M4(2) and Q=C2
extensionφ:Q→Out NdρLabelID
(C7×M4(2))⋊1C2 = C8⋊D14φ: C2/C1C2 ⊆ Out C7×M4(2)564+(C7xM4(2)):1C2224,103
(C7×M4(2))⋊2C2 = C8.D14φ: C2/C1C2 ⊆ Out C7×M4(2)1124-(C7xM4(2)):2C2224,104
(C7×M4(2))⋊3C2 = D7×M4(2)φ: C2/C1C2 ⊆ Out C7×M4(2)564(C7xM4(2)):3C2224,101
(C7×M4(2))⋊4C2 = D28.C4φ: C2/C1C2 ⊆ Out C7×M4(2)1124(C7xM4(2)):4C2224,102
(C7×M4(2))⋊5C2 = C7×C8⋊C22φ: C2/C1C2 ⊆ Out C7×M4(2)564(C7xM4(2)):5C2224,171
(C7×M4(2))⋊6C2 = C7×C8.C22φ: C2/C1C2 ⊆ Out C7×M4(2)1124(C7xM4(2)):6C2224,172
(C7×M4(2))⋊7C2 = C28.46D4φ: C2/C1C2 ⊆ Out C7×M4(2)564+(C7xM4(2)):7C2224,29
(C7×M4(2))⋊8C2 = D284C4φ: C2/C1C2 ⊆ Out C7×M4(2)564(C7xM4(2)):8C2224,31
(C7×M4(2))⋊9C2 = C7×C4.D4φ: C2/C1C2 ⊆ Out C7×M4(2)564(C7xM4(2)):9C2224,49
(C7×M4(2))⋊10C2 = C7×C4≀C2φ: C2/C1C2 ⊆ Out C7×M4(2)562(C7xM4(2)):10C2224,53
(C7×M4(2))⋊11C2 = C7×C8○D4φ: trivial image1122(C7xM4(2)):11C2224,166

Non-split extensions G=N.Q with N=C7×M4(2) and Q=C2
extensionφ:Q→Out NdρLabelID
(C7×M4(2)).1C2 = C28.53D4φ: C2/C1C2 ⊆ Out C7×M4(2)1124(C7xM4(2)).1C2224,28
(C7×M4(2)).2C2 = C4.12D28φ: C2/C1C2 ⊆ Out C7×M4(2)1124-(C7xM4(2)).2C2224,30
(C7×M4(2)).3C2 = C7×C4.10D4φ: C2/C1C2 ⊆ Out C7×M4(2)1124(C7xM4(2)).3C2224,50
(C7×M4(2)).4C2 = C7×C8.C4φ: C2/C1C2 ⊆ Out C7×M4(2)1122(C7xM4(2)).4C2224,57

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