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Extensions 1→N→G→Q→1 with N=C2×C24 and Q=C4

Direct product G=N×Q with N=C2×C24 and Q=C4
dρLabelID
C2×C4×C24192C2xC4xC24192,835

Semidirect products G=N:Q with N=C2×C24 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C2×C24)⋊1C4 = (C2×C24)⋊C4φ: C4/C1 → C4 ⊆ Aut C2×C24484(C2xC24):1C4192,115
(C2×C24)⋊2C4 = C12.20C42φ: C4/C1 → C4 ⊆ Aut C2×C24484(C2xC24):2C4192,116
(C2×C24)⋊3C4 = C3×C4.9C42φ: C4/C1 → C4 ⊆ Aut C2×C24484(C2xC24):3C4192,143
(C2×C24)⋊4C4 = C3×M4(2)⋊4C4φ: C4/C1 → C4 ⊆ Aut C2×C24484(C2xC24):4C4192,150
(C2×C24)⋊5C4 = (C2×C24)⋊5C4φ: C4/C2 → C2 ⊆ Aut C2×C24192(C2xC24):5C4192,109
(C2×C24)⋊6C4 = C12.9C42φ: C4/C2 → C2 ⊆ Aut C2×C24192(C2xC24):6C4192,110
(C2×C24)⋊7C4 = C3×C22.7C42φ: C4/C2 → C2 ⊆ Aut C2×C24192(C2xC24):7C4192,142
(C2×C24)⋊8C4 = C3×C22.4Q16φ: C4/C2 → C2 ⊆ Aut C2×C24192(C2xC24):8C4192,146
(C2×C24)⋊9C4 = C2×C24⋊1C4φ: C4/C2 → C2 ⊆ Aut C2×C24192(C2xC24):9C4192,664
(C2×C24)⋊10C4 = C23.27D12φ: C4/C2 → C2 ⊆ Aut C2×C2496(C2xC24):10C4192,665
(C2×C24)⋊11C4 = C2×C8⋊Dic3φ: C4/C2 → C2 ⊆ Aut C2×C24192(C2xC24):11C4192,663
(C2×C24)⋊12C4 = C6×C2.D8φ: C4/C2 → C2 ⊆ Aut C2×C24192(C2xC24):12C4192,859
(C2×C24)⋊13C4 = C3×C23.25D4φ: C4/C2 → C2 ⊆ Aut C2×C2496(C2xC24):13C4192,860
(C2×C24)⋊14C4 = Dic3×C2×C8φ: C4/C2 → C2 ⊆ Aut C2×C24192(C2xC24):14C4192,657
(C2×C24)⋊15C4 = C2×C24⋊C4φ: C4/C2 → C2 ⊆ Aut C2×C24192(C2xC24):15C4192,659
(C2×C24)⋊16C4 = C12.12C42φ: C4/C2 → C2 ⊆ Aut C2×C2496(C2xC24):16C4192,660
(C2×C24)⋊17C4 = C6×C4.Q8φ: C4/C2 → C2 ⊆ Aut C2×C24192(C2xC24):17C4192,858
(C2×C24)⋊18C4 = C6×C8⋊C4φ: C4/C2 → C2 ⊆ Aut C2×C24192(C2xC24):18C4192,836
(C2×C24)⋊19C4 = C3×C8○2M4(2)φ: C4/C2 → C2 ⊆ Aut C2×C2496(C2xC24):19C4192,838

Non-split extensions G=N.Q with N=C2×C24 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C2×C24).1C4 = C12.15C42φ: C4/C1 → C4 ⊆ Aut C2×C24484(C2xC24).1C4192,25
(C2×C24).2C4 = C24.D4φ: C4/C1 → C4 ⊆ Aut C2×C24484(C2xC24).2C4192,112
(C2×C24).3C4 = C12.21C42φ: C4/C1 → C4 ⊆ Aut C2×C24484(C2xC24).3C4192,119
(C2×C24).4C4 = C3×C4.10C42φ: C4/C1 → C4 ⊆ Aut C2×C24484(C2xC24).4C4192,144
(C2×C24).5C4 = C3×C16⋊C4φ: C4/C1 → C4 ⊆ Aut C2×C24484(C2xC24).5C4192,153
(C2×C24).6C4 = C3×C23.C8φ: C4/C1 → C4 ⊆ Aut C2×C24484(C2xC24).6C4192,155
(C2×C24).7C4 = C42.279D6φ: C4/C2 → C2 ⊆ Aut C2×C24192(C2xC24).7C4192,13
(C2×C24).8C4 = C24⋊2C8φ: C4/C2 → C2 ⊆ Aut C2×C24192(C2xC24).8C4192,16
(C2×C24).9C4 = C24⋊1C8φ: C4/C2 → C2 ⊆ Aut C2×C24192(C2xC24).9C4192,17
(C2×C24).10C4 = C12⋊C16φ: C4/C2 → C2 ⊆ Aut C2×C24192(C2xC24).10C4192,21
(C2×C24).11C4 = C24.98D4φ: C4/C2 → C2 ⊆ Aut C2×C2496(C2xC24).11C4192,108
(C2×C24).12C4 = C12.10C42φ: C4/C2 → C2 ⊆ Aut C2×C2496(C2xC24).12C4192,111
(C2×C24).13C4 = C3×C8⋊2C8φ: C4/C2 → C2 ⊆ Aut C2×C24192(C2xC24).13C4192,140
(C2×C24).14C4 = C3×C8⋊1C8φ: C4/C2 → C2 ⊆ Aut C2×C24192(C2xC24).14C4192,141
(C2×C24).15C4 = C3×C4.C42φ: C4/C2 → C2 ⊆ Aut C2×C2496(C2xC24).15C4192,147
(C2×C24).16C4 = C3×C22⋊C16φ: C4/C2 → C2 ⊆ Aut C2×C2496(C2xC24).16C4192,154
(C2×C24).17C4 = C3×C4⋊C16φ: C4/C2 → C2 ⊆ Aut C2×C24192(C2xC24).17C4192,169
(C2×C24).18C4 = C24.1C8φ: C4/C2 → C2 ⊆ Aut C2×C24482(C2xC24).18C4192,22
(C2×C24).19C4 = C2×C24.C4φ: C4/C2 → C2 ⊆ Aut C2×C2496(C2xC24).19C4192,666
(C2×C24).20C4 = C3×C8.C8φ: C4/C2 → C2 ⊆ Aut C2×C24482(C2xC24).20C4192,170
(C2×C24).21C4 = C8×C3⋊C8φ: C4/C2 → C2 ⊆ Aut C2×C24192(C2xC24).21C4192,12
(C2×C24).22C4 = C24⋊C8φ: C4/C2 → C2 ⊆ Aut C2×C24192(C2xC24).22C4192,14
(C2×C24).23C4 = C4×C3⋊C16φ: C4/C2 → C2 ⊆ Aut C2×C24192(C2xC24).23C4192,19
(C2×C24).24C4 = C24.C8φ: C4/C2 → C2 ⊆ Aut C2×C24192(C2xC24).24C4192,20
(C2×C24).25C4 = C2×C3⋊C32φ: C4/C2 → C2 ⊆ Aut C2×C24192(C2xC24).25C4192,57
(C2×C24).26C4 = C3⋊M6(2)φ: C4/C2 → C2 ⊆ Aut C2×C24962(C2xC24).26C4192,58
(C2×C24).27C4 = C22×C3⋊C16φ: C4/C2 → C2 ⊆ Aut C2×C24192(C2xC24).27C4192,655
(C2×C24).28C4 = C2×C12.C8φ: C4/C2 → C2 ⊆ Aut C2×C2496(C2xC24).28C4192,656
(C2×C24).29C4 = C6×C8.C4φ: C4/C2 → C2 ⊆ Aut C2×C2496(C2xC24).29C4192,862
(C2×C24).30C4 = C3×C8⋊C8φ: C4/C2 → C2 ⊆ Aut C2×C24192(C2xC24).30C4192,128
(C2×C24).31C4 = C3×C16⋊5C4φ: C4/C2 → C2 ⊆ Aut C2×C24192(C2xC24).31C4192,152
(C2×C24).32C4 = C3×M6(2)φ: C4/C2 → C2 ⊆ Aut C2×C24962(C2xC24).32C4192,176
(C2×C24).33C4 = C6×M5(2)φ: C4/C2 → C2 ⊆ Aut C2×C2496(C2xC24).33C4192,936

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