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Extensions 1→N→G→Q→1 with N=C23xC8 and Q=C2

Direct product G=NxQ with N=C23xC8 and Q=C2
dρLabelID
C24xC8128C2^4xC8128,2301

Semidirect products G=N:Q with N=C23xC8 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C23xC8):1C2 = C23.22M4(2)φ: C2/C1 → C2 ⊆ Aut C23xC864(C2^3xC8):1C2128,601
(C23xC8):2C2 = C23.23D8φ: C2/C1 → C2 ⊆ Aut C23xC864(C2^3xC8):2C2128,625
(C23xC8):3C2 = C22xC22:C8φ: C2/C1 → C2 ⊆ Aut C23xC864(C2^3xC8):3C2128,1608
(C23xC8):4C2 = C2x(C22xC8):C2φ: C2/C1 → C2 ⊆ Aut C23xC864(C2^3xC8):4C2128,1610
(C23xC8):5C2 = C22xD4:C4φ: C2/C1 → C2 ⊆ Aut C23xC864(C2^3xC8):5C2128,1622
(C23xC8):6C2 = C2xC23.24D4φ: C2/C1 → C2 ⊆ Aut C23xC864(C2^3xC8):6C2128,1624
(C23xC8):7C2 = D4xC2xC8φ: C2/C1 → C2 ⊆ Aut C23xC864(C2^3xC8):7C2128,1658
(C23xC8):8C2 = C2xC8:7D4φ: C2/C1 → C2 ⊆ Aut C23xC864(C2^3xC8):8C2128,1780
(C23xC8):9C2 = C23xD8φ: C2/C1 → C2 ⊆ Aut C23xC864(C2^3xC8):9C2128,2306
(C23xC8):10C2 = C24.144D4φ: C2/C1 → C2 ⊆ Aut C23xC832(C2^3xC8):10C2128,1782
(C23xC8):11C2 = C22xC4oD8φ: C2/C1 → C2 ⊆ Aut C23xC864(C2^3xC8):11C2128,2309
(C23xC8):12C2 = C2xC8:8D4φ: C2/C1 → C2 ⊆ Aut C23xC864(C2^3xC8):12C2128,1779
(C23xC8):13C2 = C23xSD16φ: C2/C1 → C2 ⊆ Aut C23xC864(C2^3xC8):13C2128,2307
(C23xC8):14C2 = C2xC8:9D4φ: C2/C1 → C2 ⊆ Aut C23xC864(C2^3xC8):14C2128,1659
(C23xC8):15C2 = C42.264C23φ: C2/C1 → C2 ⊆ Aut C23xC832(C2^3xC8):15C2128,1661
(C23xC8):16C2 = C23xM4(2)φ: C2/C1 → C2 ⊆ Aut C23xC864(C2^3xC8):16C2128,2302
(C23xC8):17C2 = C22xC8oD4φ: C2/C1 → C2 ⊆ Aut C23xC864(C2^3xC8):17C2128,2303

Non-split extensions G=N.Q with N=C23xC8 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C23xC8).1C2 = C2xC22.7C42φ: C2/C1 → C2 ⊆ Aut C23xC8128(C2^3xC8).1C2128,459
(C23xC8).2C2 = C23.29C42φ: C2/C1 → C2 ⊆ Aut C23xC864(C2^3xC8).2C2128,461
(C23xC8).3C2 = C2xC22.4Q16φ: C2/C1 → C2 ⊆ Aut C23xC8128(C2^3xC8).3C2128,466
(C23xC8).4C2 = C24.132D4φ: C2/C1 → C2 ⊆ Aut C23xC864(C2^3xC8).4C2128,467
(C23xC8).5C2 = C2xC4.C42φ: C2/C1 → C2 ⊆ Aut C23xC864(C2^3xC8).5C2128,469
(C23xC8).6C2 = C8xC22:C4φ: C2/C1 → C2 ⊆ Aut C23xC864(C2^3xC8).6C2128,483
(C23xC8).7C2 = C23.21M4(2)φ: C2/C1 → C2 ⊆ Aut C23xC864(C2^3xC8).7C2128,582
(C23xC8).8C2 = C24.135D4φ: C2/C1 → C2 ⊆ Aut C23xC864(C2^3xC8).8C2128,624
(C23xC8).9C2 = C2xC22:C16φ: C2/C1 → C2 ⊆ Aut C23xC864(C2^3xC8).9C2128,843
(C23xC8).10C2 = C22xQ8:C4φ: C2/C1 → C2 ⊆ Aut C23xC8128(C2^3xC8).10C2128,1623
(C23xC8).11C2 = C22xC4:C8φ: C2/C1 → C2 ⊆ Aut C23xC8128(C2^3xC8).11C2128,1634
(C23xC8).12C2 = C2xC42.6C22φ: C2/C1 → C2 ⊆ Aut C23xC864(C2^3xC8).12C2128,1636
(C23xC8).13C2 = C23.22D8φ: C2/C1 → C2 ⊆ Aut C23xC864(C2^3xC8).13C2128,540
(C23xC8).14C2 = C22xC2.D8φ: C2/C1 → C2 ⊆ Aut C23xC8128(C2^3xC8).14C2128,1640
(C23xC8).15C2 = C2xC8.18D4φ: C2/C1 → C2 ⊆ Aut C23xC864(C2^3xC8).15C2128,1781
(C23xC8).16C2 = C23xQ16φ: C2/C1 → C2 ⊆ Aut C23xC8128(C2^3xC8).16C2128,2308
(C23xC8).17C2 = C24.19Q8φ: C2/C1 → C2 ⊆ Aut C23xC832(C2^3xC8).17C2128,542
(C23xC8).18C2 = C2xC23.25D4φ: C2/C1 → C2 ⊆ Aut C23xC864(C2^3xC8).18C2128,1641
(C23xC8).19C2 = C22xC8.C4φ: C2/C1 → C2 ⊆ Aut C23xC864(C2^3xC8).19C2128,1646
(C23xC8).20C2 = C24.133D4φ: C2/C1 → C2 ⊆ Aut C23xC864(C2^3xC8).20C2128,539
(C23xC8).21C2 = C22xC4.Q8φ: C2/C1 → C2 ⊆ Aut C23xC8128(C2^3xC8).21C2128,1639
(C23xC8).22C2 = C23.36C42φ: C2/C1 → C2 ⊆ Aut C23xC864(C2^3xC8).22C2128,484
(C23xC8).23C2 = C24.5C8φ: C2/C1 → C2 ⊆ Aut C23xC832(C2^3xC8).23C2128,844
(C23xC8).24C2 = C22xC8:C4φ: C2/C1 → C2 ⊆ Aut C23xC8128(C2^3xC8).24C2128,1602
(C23xC8).25C2 = C2xC8o2M4(2)φ: C2/C1 → C2 ⊆ Aut C23xC864(C2^3xC8).25C2128,1604
(C23xC8).26C2 = C22xM5(2)φ: C2/C1 → C2 ⊆ Aut C23xC864(C2^3xC8).26C2128,2137

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