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Extensions 1→N→G→Q→1 with N=C2×C28 and Q=C4

Direct product G=N×Q with N=C2×C28 and Q=C4
dρLabelID
C2×C4×C28224C2xC4xC28224,149

Semidirect products G=N:Q with N=C2×C28 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C2×C28)⋊1C4 = C23⋊Dic7φ: C4/C1 → C4 ⊆ Aut C2×C28564(C2xC28):1C4224,40
(C2×C28)⋊2C4 = C7×C23⋊C4φ: C4/C1 → C4 ⊆ Aut C2×C28564(C2xC28):2C4224,48
(C2×C28)⋊3C4 = C14.C42φ: C4/C2 → C2 ⊆ Aut C2×C28224(C2xC28):3C4224,37
(C2×C28)⋊4C4 = C7×C2.C42φ: C4/C2 → C2 ⊆ Aut C2×C28224(C2xC28):4C4224,44
(C2×C28)⋊5C4 = C2×C4⋊Dic7φ: C4/C2 → C2 ⊆ Aut C2×C28224(C2xC28):5C4224,120
(C2×C28)⋊6C4 = C23.21D14φ: C4/C2 → C2 ⊆ Aut C2×C28112(C2xC28):6C4224,121
(C2×C28)⋊7C4 = C2×C4×Dic7φ: C4/C2 → C2 ⊆ Aut C2×C28224(C2xC28):7C4224,117
(C2×C28)⋊8C4 = C14×C4⋊C4φ: C4/C2 → C2 ⊆ Aut C2×C28224(C2xC28):8C4224,151
(C2×C28)⋊9C4 = C7×C42⋊C2φ: C4/C2 → C2 ⊆ Aut C2×C28112(C2xC28):9C4224,152

Non-split extensions G=N.Q with N=C2×C28 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C2×C28).1C4 = C28.10D4φ: C4/C1 → C4 ⊆ Aut C2×C281124(C2xC28).1C4224,42
(C2×C28).2C4 = C7×C4.10D4φ: C4/C1 → C4 ⊆ Aut C2×C281124(C2xC28).2C4224,50
(C2×C28).3C4 = C42.D7φ: C4/C2 → C2 ⊆ Aut C2×C28224(C2xC28).3C4224,9
(C2×C28).4C4 = C28.55D4φ: C4/C2 → C2 ⊆ Aut C2×C28112(C2xC28).4C4224,36
(C2×C28).5C4 = C7×C8⋊C4φ: C4/C2 → C2 ⊆ Aut C2×C28224(C2xC28).5C4224,46
(C2×C28).6C4 = C7×C22⋊C8φ: C4/C2 → C2 ⊆ Aut C2×C28112(C2xC28).6C4224,47
(C2×C28).7C4 = C28⋊C8φ: C4/C2 → C2 ⊆ Aut C2×C28224(C2xC28).7C4224,10
(C2×C28).8C4 = C28.C8φ: C4/C2 → C2 ⊆ Aut C2×C281122(C2xC28).8C4224,18
(C2×C28).9C4 = C2×C4.Dic7φ: C4/C2 → C2 ⊆ Aut C2×C28112(C2xC28).9C4224,116
(C2×C28).10C4 = C4×C7⋊C8φ: C4/C2 → C2 ⊆ Aut C2×C28224(C2xC28).10C4224,8
(C2×C28).11C4 = C2×C7⋊C16φ: C4/C2 → C2 ⊆ Aut C2×C28224(C2xC28).11C4224,17
(C2×C28).12C4 = C22×C7⋊C8φ: C4/C2 → C2 ⊆ Aut C2×C28224(C2xC28).12C4224,115
(C2×C28).13C4 = C7×C4⋊C8φ: C4/C2 → C2 ⊆ Aut C2×C28224(C2xC28).13C4224,54
(C2×C28).14C4 = C7×M5(2)φ: C4/C2 → C2 ⊆ Aut C2×C281122(C2xC28).14C4224,59
(C2×C28).15C4 = C14×M4(2)φ: C4/C2 → C2 ⊆ Aut C2×C28112(C2xC28).15C4224,165

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