Extensions 1→N→G→Q→1 with N=C22xC8 and Q=C14

Direct product G=NxQ with N=C22xC8 and Q=C14
dρLabelID
C23xC56448C2^3xC56448,1348

Semidirect products G=N:Q with N=C22xC8 and Q=C14
extensionφ:Q→Aut NdρLabelID
(C22xC8):1C14 = C14xC22:C8φ: C14/C7C2 ⊆ Aut C22xC8224(C2^2xC8):1C14448,814
(C22xC8):2C14 = C7x(C22xC8):C2φ: C14/C7C2 ⊆ Aut C22xC8224(C2^2xC8):2C14448,816
(C22xC8):3C14 = C14xD4:C4φ: C14/C7C2 ⊆ Aut C22xC8224(C2^2xC8):3C14448,822
(C22xC8):4C14 = C7xC23.24D4φ: C14/C7C2 ⊆ Aut C22xC8224(C2^2xC8):4C14448,824
(C22xC8):5C14 = D4xC56φ: C14/C7C2 ⊆ Aut C22xC8224(C2^2xC8):5C14448,842
(C22xC8):6C14 = C7xC8:7D4φ: C14/C7C2 ⊆ Aut C22xC8224(C2^2xC8):6C14448,874
(C22xC8):7C14 = D8xC2xC14φ: C14/C7C2 ⊆ Aut C22xC8224(C2^2xC8):7C14448,1352
(C22xC8):8C14 = C14xC4oD8φ: C14/C7C2 ⊆ Aut C22xC8224(C2^2xC8):8C14448,1355
(C22xC8):9C14 = C7xC8:8D4φ: C14/C7C2 ⊆ Aut C22xC8224(C2^2xC8):9C14448,873
(C22xC8):10C14 = SD16xC2xC14φ: C14/C7C2 ⊆ Aut C22xC8224(C2^2xC8):10C14448,1353
(C22xC8):11C14 = C7xC8:9D4φ: C14/C7C2 ⊆ Aut C22xC8224(C2^2xC8):11C14448,843
(C22xC8):12C14 = M4(2)xC2xC14φ: C14/C7C2 ⊆ Aut C22xC8224(C2^2xC8):12C14448,1349
(C22xC8):13C14 = C14xC8oD4φ: C14/C7C2 ⊆ Aut C22xC8224(C2^2xC8):13C14448,1350

Non-split extensions G=N.Q with N=C22xC8 and Q=C14
extensionφ:Q→Aut NdρLabelID
(C22xC8).1C14 = C7xC22.7C42φ: C14/C7C2 ⊆ Aut C22xC8448(C2^2xC8).1C14448,140
(C22xC8).2C14 = C7xC22.4Q16φ: C14/C7C2 ⊆ Aut C22xC8448(C2^2xC8).2C14448,144
(C22xC8).3C14 = C7xC4.C42φ: C14/C7C2 ⊆ Aut C22xC8224(C2^2xC8).3C14448,145
(C22xC8).4C14 = C7xC22:C16φ: C14/C7C2 ⊆ Aut C22xC8224(C2^2xC8).4C14448,152
(C22xC8).5C14 = C14xQ8:C4φ: C14/C7C2 ⊆ Aut C22xC8448(C2^2xC8).5C14448,823
(C22xC8).6C14 = C14xC4:C8φ: C14/C7C2 ⊆ Aut C22xC8448(C2^2xC8).6C14448,830
(C22xC8).7C14 = C7xC42.6C22φ: C14/C7C2 ⊆ Aut C22xC8224(C2^2xC8).7C14448,832
(C22xC8).8C14 = C14xC2.D8φ: C14/C7C2 ⊆ Aut C22xC8448(C2^2xC8).8C14448,834
(C22xC8).9C14 = C7xC8.18D4φ: C14/C7C2 ⊆ Aut C22xC8224(C2^2xC8).9C14448,875
(C22xC8).10C14 = Q16xC2xC14φ: C14/C7C2 ⊆ Aut C22xC8448(C2^2xC8).10C14448,1354
(C22xC8).11C14 = C7xC23.25D4φ: C14/C7C2 ⊆ Aut C22xC8224(C2^2xC8).11C14448,835
(C22xC8).12C14 = C14xC8.C4φ: C14/C7C2 ⊆ Aut C22xC8224(C2^2xC8).12C14448,837
(C22xC8).13C14 = C14xC4.Q8φ: C14/C7C2 ⊆ Aut C22xC8448(C2^2xC8).13C14448,833
(C22xC8).14C14 = C14xC8:C4φ: C14/C7C2 ⊆ Aut C22xC8448(C2^2xC8).14C14448,811
(C22xC8).15C14 = C7xC8o2M4(2)φ: C14/C7C2 ⊆ Aut C22xC8224(C2^2xC8).15C14448,813
(C22xC8).16C14 = C14xM5(2)φ: C14/C7C2 ⊆ Aut C22xC8224(C2^2xC8).16C14448,911

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