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Extensions 1→N→G→Q→1 with N=C2×C28 and Q=C8

Direct product G=N×Q with N=C2×C28 and Q=C8
dρLabelID
C2×C4×C56448C2xC4xC56448,810

Semidirect products G=N:Q with N=C2×C28 and Q=C8
extensionφ:Q→Aut NdρLabelID
(C2×C28)⋊1C8 = (C2×C28)⋊C8φ: C8/C2 → C4 ⊆ Aut C2×C28224(C2xC28):1C8448,85
(C2×C28)⋊2C8 = C7×C22.M4(2)φ: C8/C2 → C4 ⊆ Aut C2×C28224(C2xC28):2C8448,128
(C2×C28)⋊3C8 = (C2×C28)⋊3C8φ: C8/C4 → C2 ⊆ Aut C2×C28448(C2xC28):3C8448,81
(C2×C28)⋊4C8 = C7×C22.7C42φ: C8/C4 → C2 ⊆ Aut C2×C28448(C2xC28):4C8448,140
(C2×C28)⋊5C8 = C2×C28⋊C8φ: C8/C4 → C2 ⊆ Aut C2×C28448(C2xC28):5C8448,457
(C2×C28)⋊6C8 = C42.6Dic7φ: C8/C4 → C2 ⊆ Aut C2×C28224(C2xC28):6C8448,459
(C2×C28)⋊7C8 = C2×C4×C7⋊C8φ: C8/C4 → C2 ⊆ Aut C2×C28448(C2xC28):7C8448,454
(C2×C28)⋊8C8 = C14×C4⋊C8φ: C8/C4 → C2 ⊆ Aut C2×C28448(C2xC28):8C8448,830
(C2×C28)⋊9C8 = C7×C42.12C4φ: C8/C4 → C2 ⊆ Aut C2×C28224(C2xC28):9C8448,839

Non-split extensions G=N.Q with N=C2×C28 and Q=C8
extensionφ:Q→Aut NdρLabelID
(C2×C28).1C8 = C56.D4φ: C8/C2 → C4 ⊆ Aut C2×C281124(C2xC28).1C8448,110
(C2×C28).2C8 = C7×C23.C8φ: C8/C2 → C4 ⊆ Aut C2×C281124(C2xC28).2C8448,153
(C2×C28).3C8 = C56.C8φ: C8/C4 → C2 ⊆ Aut C2×C28448(C2xC28).3C8448,18
(C2×C28).4C8 = C28⋊C16φ: C8/C4 → C2 ⊆ Aut C2×C28448(C2xC28).4C8448,19
(C2×C28).5C8 = C56.91D4φ: C8/C4 → C2 ⊆ Aut C2×C28224(C2xC28).5C8448,106
(C2×C28).6C8 = C7×C16⋊5C4φ: C8/C4 → C2 ⊆ Aut C2×C28448(C2xC28).6C8448,150
(C2×C28).7C8 = C7×C22⋊C16φ: C8/C4 → C2 ⊆ Aut C2×C28224(C2xC28).7C8448,152
(C2×C28).8C8 = C2×C28.C8φ: C8/C4 → C2 ⊆ Aut C2×C28224(C2xC28).8C8448,631
(C2×C28).9C8 = C7⋊M6(2)φ: C8/C4 → C2 ⊆ Aut C2×C282242(C2xC28).9C8448,56
(C2×C28).10C8 = C4×C7⋊C16φ: C8/C4 → C2 ⊆ Aut C2×C28448(C2xC28).10C8448,17
(C2×C28).11C8 = C2×C7⋊C32φ: C8/C4 → C2 ⊆ Aut C2×C28448(C2xC28).11C8448,55
(C2×C28).12C8 = C22×C7⋊C16φ: C8/C4 → C2 ⊆ Aut C2×C28448(C2xC28).12C8448,630
(C2×C28).13C8 = C7×C4⋊C16φ: C8/C4 → C2 ⊆ Aut C2×C28448(C2xC28).13C8448,167
(C2×C28).14C8 = C7×M6(2)φ: C8/C4 → C2 ⊆ Aut C2×C282242(C2xC28).14C8448,174
(C2×C28).15C8 = C14×M5(2)φ: C8/C4 → C2 ⊆ Aut C2×C28224(C2xC28).15C8448,911

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