Extensions 1→N→G→Q→1 with N=C4×C8 and Q=C4

Direct product G=N×Q with N=C4×C8 and Q=C4
dρLabelID
C42×C8128C4^2xC8128,456

Semidirect products G=N:Q with N=C4×C8 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C4×C8)⋊1C4 = C421C8φ: C4/C1C4 ⊆ Aut C4×C832(C4xC8):1C4128,6
(C4×C8)⋊2C4 = C42.5Q8φ: C4/C1C4 ⊆ Aut C4×C832(C4xC8):2C4128,18
(C4×C8)⋊3C4 = (C4×C8)⋊C4φ: C4/C1C4 ⊆ Aut C4×C8324(C4xC8):3C4128,146
(C4×C8)⋊4C4 = C41D4⋊C4φ: C4/C1C4 ⊆ Aut C4×C8164+(C4xC8):4C4128,140
(C4×C8)⋊5C4 = C8.(C4⋊C4)φ: C4/C1C4 ⊆ Aut C4×C8324(C4xC8):5C4128,565
(C4×C8)⋊6C4 = (C4×C8)⋊6C4φ: C4/C1C4 ⊆ Aut C4×C8164(C4xC8):6C4128,141
(C4×C8)⋊7C4 = C42.6Q8φ: C4/C1C4 ⊆ Aut C4×C832(C4xC8):7C4128,20
(C4×C8)⋊8C4 = C8.16C42φ: C4/C1C4 ⊆ Aut C4×C8324(C4xC8):8C4128,479
(C4×C8)⋊9C4 = C8⋊C417C4φ: C4/C1C4 ⊆ Aut C4×C8164(C4xC8):9C4128,573
(C4×C8)⋊10C4 = C42.46Q8φ: C4/C2C2 ⊆ Aut C4×C8128(C4xC8):10C4128,11
(C4×C8)⋊11C4 = C424C8φ: C4/C2C2 ⊆ Aut C4×C8128(C4xC8):11C4128,476
(C4×C8)⋊12C4 = (C4×C8)⋊12C4φ: C4/C2C2 ⊆ Aut C4×C8128(C4xC8):12C4128,478
(C4×C8)⋊13C4 = C8×C4⋊C4φ: C4/C2C2 ⊆ Aut C4×C8128(C4xC8):13C4128,501
(C4×C8)⋊14C4 = C42.55Q8φ: C4/C2C2 ⊆ Aut C4×C8128(C4xC8):14C4128,566
(C4×C8)⋊15C4 = C42.56Q8φ: C4/C2C2 ⊆ Aut C4×C8128(C4xC8):15C4128,567
(C4×C8)⋊16C4 = C4×C2.D8φ: C4/C2C2 ⊆ Aut C4×C8128(C4xC8):16C4128,507
(C4×C8)⋊17C4 = C42.59Q8φ: C4/C2C2 ⊆ Aut C4×C8128(C4xC8):17C4128,577
(C4×C8)⋊18C4 = C42.60Q8φ: C4/C2C2 ⊆ Aut C4×C8128(C4xC8):18C4128,578
(C4×C8)⋊19C4 = C8.14C42φ: C4/C2C2 ⊆ Aut C4×C832(C4xC8):19C4128,504
(C4×C8)⋊20C4 = C4×C4.Q8φ: C4/C2C2 ⊆ Aut C4×C8128(C4xC8):20C4128,506
(C4×C8)⋊21C4 = C42.58Q8φ: C4/C2C2 ⊆ Aut C4×C8128(C4xC8):21C4128,576
(C4×C8)⋊22C4 = C4×C8⋊C4φ: C4/C2C2 ⊆ Aut C4×C8128(C4xC8):22C4128,457
(C4×C8)⋊23C4 = C2.C43φ: C4/C2C2 ⊆ Aut C4×C8128(C4xC8):23C4128,458
(C4×C8)⋊24C4 = C4⋊C813C4φ: C4/C2C2 ⊆ Aut C4×C8128(C4xC8):24C4128,502

Non-split extensions G=N.Q with N=C4×C8 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C4×C8).1C4 = C42.20D4φ: C4/C1C4 ⊆ Aut C4×C864(C4xC8).1C4128,7
(C4×C8).2C4 = C42.23D4φ: C4/C1C4 ⊆ Aut C4×C864(C4xC8).2C4128,19
(C4×C8).3C4 = C16⋊C8φ: C4/C1C4 ⊆ Aut C4×C8128(C4xC8).3C4128,45
(C4×C8).4C4 = (C2×Q8).D4φ: C4/C1C4 ⊆ Aut C4×C8324-(C4xC8).4C4128,143
(C4×C8).5C4 = C8.19M4(2)φ: C4/C1C4 ⊆ Aut C4×C8324(C4xC8).5C4128,898
(C4×C8).6C4 = (C4×C8).C4φ: C4/C1C4 ⊆ Aut C4×C8164(C4xC8).6C4128,142
(C4×C8).7C4 = C42.26D4φ: C4/C1C4 ⊆ Aut C4×C864(C4xC8).7C4128,23
(C4×C8).8C4 = C32⋊C4φ: C4/C1C4 ⊆ Aut C4×C8324(C4xC8).8C4128,130
(C4×C8).9C4 = C8.23C42φ: C4/C1C4 ⊆ Aut C4×C8324(C4xC8).9C4128,842
(C4×C8).10C4 = C8.5M4(2)φ: C4/C1C4 ⊆ Aut C4×C8164(C4xC8).10C4128,897
(C4×C8).11C4 = M4(2)⋊C8φ: C4/C2C2 ⊆ Aut C4×C864(C4xC8).11C4128,10
(C4×C8).12C4 = C165C8φ: C4/C2C2 ⊆ Aut C4×C8128(C4xC8).12C4128,43
(C4×C8).13C4 = C8⋊C16φ: C4/C2C2 ⊆ Aut C4×C8128(C4xC8).13C4128,44
(C4×C8).14C4 = C4⋊C32φ: C4/C2C2 ⊆ Aut C4×C8128(C4xC8).14C4128,153
(C4×C8).15C4 = C2×C8⋊C8φ: C4/C2C2 ⊆ Aut C4×C8128(C4xC8).15C4128,180
(C4×C8).16C4 = C8×M4(2)φ: C4/C2C2 ⊆ Aut C4×C864(C4xC8).16C4128,181
(C4×C8).17C4 = C23.27C42φ: C4/C2C2 ⊆ Aut C4×C864(C4xC8).17C4128,184
(C4×C8).18C4 = C88M4(2)φ: C4/C2C2 ⊆ Aut C4×C864(C4xC8).18C4128,298
(C4×C8).19C4 = C87M4(2)φ: C4/C2C2 ⊆ Aut C4×C864(C4xC8).19C4128,299
(C4×C8).20C4 = C42.43Q8φ: C4/C2C2 ⊆ Aut C4×C864(C4xC8).20C4128,300
(C4×C8).21C4 = C42.322D4φ: C4/C2C2 ⊆ Aut C4×C864(C4xC8).21C4128,569
(C4×C8).22C4 = C2×C4⋊C16φ: C4/C2C2 ⊆ Aut C4×C8128(C4xC8).22C4128,881
(C4×C8).23C4 = C42.13C8φ: C4/C2C2 ⊆ Aut C4×C864(C4xC8).23C4128,894
(C4×C8).24C4 = C8.36D8φ: C4/C2C2 ⊆ Aut C4×C8128(C4xC8).24C4128,102
(C4×C8).25C4 = C2×C81C8φ: C4/C2C2 ⊆ Aut C4×C8128(C4xC8).25C4128,295
(C4×C8).26C4 = C42.42Q8φ: C4/C2C2 ⊆ Aut C4×C864(C4xC8).26C4128,296
(C4×C8).27C4 = C42.324D4φ: C4/C2C2 ⊆ Aut C4×C864(C4xC8).27C4128,580
(C4×C8).28C4 = C8.C16φ: C4/C2C2 ⊆ Aut C4×C8322(C4xC8).28C4128,154
(C4×C8).29C4 = C2×C8.C8φ: C4/C2C2 ⊆ Aut C4×C832(C4xC8).29C4128,884
(C4×C8).30C4 = C82C16φ: C4/C2C2 ⊆ Aut C4×C8128(C4xC8).30C4128,99
(C4×C8).31C4 = C2×C82C8φ: C4/C2C2 ⊆ Aut C4×C8128(C4xC8).31C4128,294
(C4×C8).32C4 = C4×C8.C4φ: C4/C2C2 ⊆ Aut C4×C864(C4xC8).32C4128,509
(C4×C8).33C4 = C325C4φ: C4/C2C2 ⊆ Aut C4×C8128(C4xC8).33C4128,129
(C4×C8).34C4 = C82⋊C2φ: C4/C2C2 ⊆ Aut C4×C864(C4xC8).34C4128,182
(C4×C8).35C4 = C89M4(2)φ: C4/C2C2 ⊆ Aut C4×C864(C4xC8).35C4128,183
(C4×C8).36C4 = C2×C165C4φ: C4/C2C2 ⊆ Aut C4×C8128(C4xC8).36C4128,838
(C4×C8).37C4 = C4×M5(2)φ: C4/C2C2 ⊆ Aut C4×C864(C4xC8).37C4128,839
(C4×C8).38C4 = C4⋊M5(2)φ: C4/C2C2 ⊆ Aut C4×C864(C4xC8).38C4128,882
(C4×C8).39C4 = C42.6C8φ: C4/C2C2 ⊆ Aut C4×C864(C4xC8).39C4128,895

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