Extensions 1→N→G→Q→1 with N=C2xC28 and Q=C8

Direct product G=NxQ with N=C2xC28 and Q=C8
dρLabelID
C2xC4xC56448C2xC4xC56448,810

Semidirect products G=N:Q with N=C2xC28 and Q=C8
extensionφ:Q→Aut NdρLabelID
(C2xC28):1C8 = (C2xC28):C8φ: C8/C2C4 ⊆ Aut C2xC28224(C2xC28):1C8448,85
(C2xC28):2C8 = C7xC22.M4(2)φ: C8/C2C4 ⊆ Aut C2xC28224(C2xC28):2C8448,128
(C2xC28):3C8 = (C2xC28):3C8φ: C8/C4C2 ⊆ Aut C2xC28448(C2xC28):3C8448,81
(C2xC28):4C8 = C7xC22.7C42φ: C8/C4C2 ⊆ Aut C2xC28448(C2xC28):4C8448,140
(C2xC28):5C8 = C2xC28:C8φ: C8/C4C2 ⊆ Aut C2xC28448(C2xC28):5C8448,457
(C2xC28):6C8 = C42.6Dic7φ: C8/C4C2 ⊆ Aut C2xC28224(C2xC28):6C8448,459
(C2xC28):7C8 = C2xC4xC7:C8φ: C8/C4C2 ⊆ Aut C2xC28448(C2xC28):7C8448,454
(C2xC28):8C8 = C14xC4:C8φ: C8/C4C2 ⊆ Aut C2xC28448(C2xC28):8C8448,830
(C2xC28):9C8 = C7xC42.12C4φ: C8/C4C2 ⊆ Aut C2xC28224(C2xC28):9C8448,839

Non-split extensions G=N.Q with N=C2xC28 and Q=C8
extensionφ:Q→Aut NdρLabelID
(C2xC28).1C8 = C56.D4φ: C8/C2C4 ⊆ Aut C2xC281124(C2xC28).1C8448,110
(C2xC28).2C8 = C7xC23.C8φ: C8/C2C4 ⊆ Aut C2xC281124(C2xC28).2C8448,153
(C2xC28).3C8 = C56.C8φ: C8/C4C2 ⊆ Aut C2xC28448(C2xC28).3C8448,18
(C2xC28).4C8 = C28:C16φ: C8/C4C2 ⊆ Aut C2xC28448(C2xC28).4C8448,19
(C2xC28).5C8 = C56.91D4φ: C8/C4C2 ⊆ Aut C2xC28224(C2xC28).5C8448,106
(C2xC28).6C8 = C7xC16:5C4φ: C8/C4C2 ⊆ Aut C2xC28448(C2xC28).6C8448,150
(C2xC28).7C8 = C7xC22:C16φ: C8/C4C2 ⊆ Aut C2xC28224(C2xC28).7C8448,152
(C2xC28).8C8 = C2xC28.C8φ: C8/C4C2 ⊆ Aut C2xC28224(C2xC28).8C8448,631
(C2xC28).9C8 = C7:M6(2)φ: C8/C4C2 ⊆ Aut C2xC282242(C2xC28).9C8448,56
(C2xC28).10C8 = C4xC7:C16φ: C8/C4C2 ⊆ Aut C2xC28448(C2xC28).10C8448,17
(C2xC28).11C8 = C2xC7:C32φ: C8/C4C2 ⊆ Aut C2xC28448(C2xC28).11C8448,55
(C2xC28).12C8 = C22xC7:C16φ: C8/C4C2 ⊆ Aut C2xC28448(C2xC28).12C8448,630
(C2xC28).13C8 = C7xC4:C16φ: C8/C4C2 ⊆ Aut C2xC28448(C2xC28).13C8448,167
(C2xC28).14C8 = C7xM6(2)φ: C8/C4C2 ⊆ Aut C2xC282242(C2xC28).14C8448,174
(C2xC28).15C8 = C14xM5(2)φ: C8/C4C2 ⊆ Aut C2xC28224(C2xC28).15C8448,911

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