Extensions 1→N→G→Q→1 with N=C22xC8 and Q=C2

Direct product G=NxQ with N=C22xC8 and Q=C2
dρLabelID
C23xC864C2^3xC864,246

Semidirect products G=N:Q with N=C22xC8 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C22xC8):1C2 = C2xC22:C8φ: C2/C1C2 ⊆ Aut C22xC832(C2^2xC8):1C264,87
(C22xC8):2C2 = (C22xC8):C2φ: C2/C1C2 ⊆ Aut C22xC832(C2^2xC8):2C264,89
(C22xC8):3C2 = C2xD4:C4φ: C2/C1C2 ⊆ Aut C22xC832(C2^2xC8):3C264,95
(C22xC8):4C2 = C23.24D4φ: C2/C1C2 ⊆ Aut C22xC832(C2^2xC8):4C264,97
(C22xC8):5C2 = C8xD4φ: C2/C1C2 ⊆ Aut C22xC832(C2^2xC8):5C264,115
(C22xC8):6C2 = C8:7D4φ: C2/C1C2 ⊆ Aut C22xC832(C2^2xC8):6C264,147
(C22xC8):7C2 = C22xD8φ: C2/C1C2 ⊆ Aut C22xC832(C2^2xC8):7C264,250
(C22xC8):8C2 = C2xC4oD8φ: C2/C1C2 ⊆ Aut C22xC832(C2^2xC8):8C264,253
(C22xC8):9C2 = C8:8D4φ: C2/C1C2 ⊆ Aut C22xC832(C2^2xC8):9C264,146
(C22xC8):10C2 = C22xSD16φ: C2/C1C2 ⊆ Aut C22xC832(C2^2xC8):10C264,251
(C22xC8):11C2 = C8:9D4φ: C2/C1C2 ⊆ Aut C22xC832(C2^2xC8):11C264,116
(C22xC8):12C2 = C22xM4(2)φ: C2/C1C2 ⊆ Aut C22xC832(C2^2xC8):12C264,247
(C22xC8):13C2 = C2xC8oD4φ: C2/C1C2 ⊆ Aut C22xC832(C2^2xC8):13C264,248

Non-split extensions G=N.Q with N=C22xC8 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C22xC8).1C2 = C22.7C42φ: C2/C1C2 ⊆ Aut C22xC864(C2^2xC8).1C264,17
(C22xC8).2C2 = C22.4Q16φ: C2/C1C2 ⊆ Aut C22xC864(C2^2xC8).2C264,21
(C22xC8).3C2 = C4.C42φ: C2/C1C2 ⊆ Aut C22xC832(C2^2xC8).3C264,22
(C22xC8).4C2 = C22:C16φ: C2/C1C2 ⊆ Aut C22xC832(C2^2xC8).4C264,29
(C22xC8).5C2 = C2xQ8:C4φ: C2/C1C2 ⊆ Aut C22xC864(C2^2xC8).5C264,96
(C22xC8).6C2 = C2xC4:C8φ: C2/C1C2 ⊆ Aut C22xC864(C2^2xC8).6C264,103
(C22xC8).7C2 = C42.6C22φ: C2/C1C2 ⊆ Aut C22xC832(C2^2xC8).7C264,105
(C22xC8).8C2 = C2xC2.D8φ: C2/C1C2 ⊆ Aut C22xC864(C2^2xC8).8C264,107
(C22xC8).9C2 = C8.18D4φ: C2/C1C2 ⊆ Aut C22xC832(C2^2xC8).9C264,148
(C22xC8).10C2 = C22xQ16φ: C2/C1C2 ⊆ Aut C22xC864(C2^2xC8).10C264,252
(C22xC8).11C2 = C23.25D4φ: C2/C1C2 ⊆ Aut C22xC832(C2^2xC8).11C264,108
(C22xC8).12C2 = C2xC8.C4φ: C2/C1C2 ⊆ Aut C22xC832(C2^2xC8).12C264,110
(C22xC8).13C2 = C2xC4.Q8φ: C2/C1C2 ⊆ Aut C22xC864(C2^2xC8).13C264,106
(C22xC8).14C2 = C2xC8:C4φ: C2/C1C2 ⊆ Aut C22xC864(C2^2xC8).14C264,84
(C22xC8).15C2 = C8o2M4(2)φ: C2/C1C2 ⊆ Aut C22xC832(C2^2xC8).15C264,86
(C22xC8).16C2 = C2xM5(2)φ: C2/C1C2 ⊆ Aut C22xC832(C2^2xC8).16C264,184

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