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Extensions 1→N→G→Q→1 with N=C2xC24 and Q=C4

Direct product G=NxQ with N=C2xC24 and Q=C4
dρLabelID
C2xC4xC24192C2xC4xC24192,835

Semidirect products G=N:Q with N=C2xC24 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C2xC24):1C4 = (C2xC24):C4φ: C4/C1 → C4 ⊆ Aut C2xC24484(C2xC24):1C4192,115
(C2xC24):2C4 = C12.20C42φ: C4/C1 → C4 ⊆ Aut C2xC24484(C2xC24):2C4192,116
(C2xC24):3C4 = C3xC4.9C42φ: C4/C1 → C4 ⊆ Aut C2xC24484(C2xC24):3C4192,143
(C2xC24):4C4 = C3xM4(2):4C4φ: C4/C1 → C4 ⊆ Aut C2xC24484(C2xC24):4C4192,150
(C2xC24):5C4 = (C2xC24):5C4φ: C4/C2 → C2 ⊆ Aut C2xC24192(C2xC24):5C4192,109
(C2xC24):6C4 = C12.9C42φ: C4/C2 → C2 ⊆ Aut C2xC24192(C2xC24):6C4192,110
(C2xC24):7C4 = C3xC22.7C42φ: C4/C2 → C2 ⊆ Aut C2xC24192(C2xC24):7C4192,142
(C2xC24):8C4 = C3xC22.4Q16φ: C4/C2 → C2 ⊆ Aut C2xC24192(C2xC24):8C4192,146
(C2xC24):9C4 = C2xC24:1C4φ: C4/C2 → C2 ⊆ Aut C2xC24192(C2xC24):9C4192,664
(C2xC24):10C4 = C23.27D12φ: C4/C2 → C2 ⊆ Aut C2xC2496(C2xC24):10C4192,665
(C2xC24):11C4 = C2xC8:Dic3φ: C4/C2 → C2 ⊆ Aut C2xC24192(C2xC24):11C4192,663
(C2xC24):12C4 = C6xC2.D8φ: C4/C2 → C2 ⊆ Aut C2xC24192(C2xC24):12C4192,859
(C2xC24):13C4 = C3xC23.25D4φ: C4/C2 → C2 ⊆ Aut C2xC2496(C2xC24):13C4192,860
(C2xC24):14C4 = Dic3xC2xC8φ: C4/C2 → C2 ⊆ Aut C2xC24192(C2xC24):14C4192,657
(C2xC24):15C4 = C2xC24:C4φ: C4/C2 → C2 ⊆ Aut C2xC24192(C2xC24):15C4192,659
(C2xC24):16C4 = C12.12C42φ: C4/C2 → C2 ⊆ Aut C2xC2496(C2xC24):16C4192,660
(C2xC24):17C4 = C6xC4.Q8φ: C4/C2 → C2 ⊆ Aut C2xC24192(C2xC24):17C4192,858
(C2xC24):18C4 = C6xC8:C4φ: C4/C2 → C2 ⊆ Aut C2xC24192(C2xC24):18C4192,836
(C2xC24):19C4 = C3xC8o2M4(2)φ: C4/C2 → C2 ⊆ Aut C2xC2496(C2xC24):19C4192,838

Non-split extensions G=N.Q with N=C2xC24 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C2xC24).1C4 = C12.15C42φ: C4/C1 → C4 ⊆ Aut C2xC24484(C2xC24).1C4192,25
(C2xC24).2C4 = C24.D4φ: C4/C1 → C4 ⊆ Aut C2xC24484(C2xC24).2C4192,112
(C2xC24).3C4 = C12.21C42φ: C4/C1 → C4 ⊆ Aut C2xC24484(C2xC24).3C4192,119
(C2xC24).4C4 = C3xC4.10C42φ: C4/C1 → C4 ⊆ Aut C2xC24484(C2xC24).4C4192,144
(C2xC24).5C4 = C3xC16:C4φ: C4/C1 → C4 ⊆ Aut C2xC24484(C2xC24).5C4192,153
(C2xC24).6C4 = C3xC23.C8φ: C4/C1 → C4 ⊆ Aut C2xC24484(C2xC24).6C4192,155
(C2xC24).7C4 = C42.279D6φ: C4/C2 → C2 ⊆ Aut C2xC24192(C2xC24).7C4192,13
(C2xC24).8C4 = C24:2C8φ: C4/C2 → C2 ⊆ Aut C2xC24192(C2xC24).8C4192,16
(C2xC24).9C4 = C24:1C8φ: C4/C2 → C2 ⊆ Aut C2xC24192(C2xC24).9C4192,17
(C2xC24).10C4 = C12:C16φ: C4/C2 → C2 ⊆ Aut C2xC24192(C2xC24).10C4192,21
(C2xC24).11C4 = C24.98D4φ: C4/C2 → C2 ⊆ Aut C2xC2496(C2xC24).11C4192,108
(C2xC24).12C4 = C12.10C42φ: C4/C2 → C2 ⊆ Aut C2xC2496(C2xC24).12C4192,111
(C2xC24).13C4 = C3xC8:2C8φ: C4/C2 → C2 ⊆ Aut C2xC24192(C2xC24).13C4192,140
(C2xC24).14C4 = C3xC8:1C8φ: C4/C2 → C2 ⊆ Aut C2xC24192(C2xC24).14C4192,141
(C2xC24).15C4 = C3xC4.C42φ: C4/C2 → C2 ⊆ Aut C2xC2496(C2xC24).15C4192,147
(C2xC24).16C4 = C3xC22:C16φ: C4/C2 → C2 ⊆ Aut C2xC2496(C2xC24).16C4192,154
(C2xC24).17C4 = C3xC4:C16φ: C4/C2 → C2 ⊆ Aut C2xC24192(C2xC24).17C4192,169
(C2xC24).18C4 = C24.1C8φ: C4/C2 → C2 ⊆ Aut C2xC24482(C2xC24).18C4192,22
(C2xC24).19C4 = C2xC24.C4φ: C4/C2 → C2 ⊆ Aut C2xC2496(C2xC24).19C4192,666
(C2xC24).20C4 = C3xC8.C8φ: C4/C2 → C2 ⊆ Aut C2xC24482(C2xC24).20C4192,170
(C2xC24).21C4 = C8xC3:C8φ: C4/C2 → C2 ⊆ Aut C2xC24192(C2xC24).21C4192,12
(C2xC24).22C4 = C24:C8φ: C4/C2 → C2 ⊆ Aut C2xC24192(C2xC24).22C4192,14
(C2xC24).23C4 = C4xC3:C16φ: C4/C2 → C2 ⊆ Aut C2xC24192(C2xC24).23C4192,19
(C2xC24).24C4 = C24.C8φ: C4/C2 → C2 ⊆ Aut C2xC24192(C2xC24).24C4192,20
(C2xC24).25C4 = C2xC3:C32φ: C4/C2 → C2 ⊆ Aut C2xC24192(C2xC24).25C4192,57
(C2xC24).26C4 = C3:M6(2)φ: C4/C2 → C2 ⊆ Aut C2xC24962(C2xC24).26C4192,58
(C2xC24).27C4 = C22xC3:C16φ: C4/C2 → C2 ⊆ Aut C2xC24192(C2xC24).27C4192,655
(C2xC24).28C4 = C2xC12.C8φ: C4/C2 → C2 ⊆ Aut C2xC2496(C2xC24).28C4192,656
(C2xC24).29C4 = C6xC8.C4φ: C4/C2 → C2 ⊆ Aut C2xC2496(C2xC24).29C4192,862
(C2xC24).30C4 = C3xC8:C8φ: C4/C2 → C2 ⊆ Aut C2xC24192(C2xC24).30C4192,128
(C2xC24).31C4 = C3xC16:5C4φ: C4/C2 → C2 ⊆ Aut C2xC24192(C2xC24).31C4192,152
(C2xC24).32C4 = C3xM6(2)φ: C4/C2 → C2 ⊆ Aut C2xC24962(C2xC24).32C4192,176
(C2xC24).33C4 = C6xM5(2)φ: C4/C2 → C2 ⊆ Aut C2xC2496(C2xC24).33C4192,936

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