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Extensions 1→N→G→Q→1 with N=C22xC42 and Q=C2

Direct product G=NxQ with N=C22xC42 and Q=C2
dρLabelID
C23xC42128C2^3xC4^2128,2150

Semidirect products G=N:Q with N=C22xC42 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C22xC42):1C2 = C23:2C42φ: C2/C1 → C2 ⊆ Aut C22xC4264(C2^2xC4^2):1C2128,169
(C22xC42):2C2 = C2xC4xC22:C4φ: C2/C1 → C2 ⊆ Aut C22xC4264(C2^2xC4^2):2C2128,1000
(C22xC42):3C2 = D4xC42φ: C2/C1 → C2 ⊆ Aut C22xC4264(C2^2xC4^2):3C2128,1003
(C22xC42):4C2 = C2xC24.C22φ: C2/C1 → C2 ⊆ Aut C22xC4264(C2^2xC4^2):4C2128,1021
(C22xC42):5C2 = C42:42D4φ: C2/C1 → C2 ⊆ Aut C22xC4264(C2^2xC4^2):5C2128,1022
(C22xC42):6C2 = C4xC22.D4φ: C2/C1 → C2 ⊆ Aut C22xC4264(C2^2xC4^2):6C2128,1033
(C22xC42):7C2 = C42:43D4φ: C2/C1 → C2 ⊆ Aut C22xC4264(C2^2xC4^2):7C2128,1584
(C22xC42):8C2 = C23.753C24φ: C2/C1 → C2 ⊆ Aut C22xC4264(C2^2xC4^2):8C2128,1585
(C22xC42):9C2 = C22xC42:C2φ: C2/C1 → C2 ⊆ Aut C22xC4264(C2^2xC4^2):9C2128,2153
(C22xC42):10C2 = C22xC42:2C2φ: C2/C1 → C2 ⊆ Aut C22xC4264(C2^2xC4^2):10C2128,2170
(C22xC42):11C2 = (C2xC4)wrC2φ: C2/C1 → C2 ⊆ Aut C22xC4216(C2^2xC4^2):11C2128,628
(C22xC42):12C2 = C2xC24.3C22φ: C2/C1 → C2 ⊆ Aut C22xC4264(C2^2xC4^2):12C2128,1024
(C22xC42):13C2 = C23.179C24φ: C2/C1 → C2 ⊆ Aut C22xC4264(C2^2xC4^2):13C2128,1029
(C22xC42):14C2 = C4xC4:D4φ: C2/C1 → C2 ⊆ Aut C22xC4264(C2^2xC4^2):14C2128,1032
(C22xC42):15C2 = C42:46D4φ: C2/C1 → C2 ⊆ Aut C22xC4264(C2^2xC4^2):15C2128,1582
(C22xC42):16C2 = C24.598C23φ: C2/C1 → C2 ⊆ Aut C22xC4264(C2^2xC4^2):16C2128,1586
(C22xC42):17C2 = C42:47D4φ: C2/C1 → C2 ⊆ Aut C22xC4264(C2^2xC4^2):17C2128,1588
(C22xC42):18C2 = C22xC4wrC2φ: C2/C1 → C2 ⊆ Aut C22xC4232(C2^2xC4^2):18C2128,1631
(C22xC42):19C2 = D4xC22xC4φ: C2/C1 → C2 ⊆ Aut C22xC4264(C2^2xC4^2):19C2128,2154
(C22xC42):20C2 = C2xC4xC4oD4φ: C2/C1 → C2 ⊆ Aut C22xC4264(C2^2xC4^2):20C2128,2156
(C22xC42):21C2 = C22xC4.4D4φ: C2/C1 → C2 ⊆ Aut C22xC4264(C2^2xC4^2):21C2128,2168
(C22xC42):22C2 = C2xC23.36C23φ: C2/C1 → C2 ⊆ Aut C22xC4264(C2^2xC4^2):22C2128,2171
(C22xC42):23C2 = C22xC4:1D4φ: C2/C1 → C2 ⊆ Aut C22xC4264(C2^2xC4^2):23C2128,2172
(C22xC42):24C2 = C2xC22.26C24φ: C2/C1 → C2 ⊆ Aut C22xC4264(C2^2xC4^2):24C2128,2174
(C22xC42):25C2 = C22.33C25φ: C2/C1 → C2 ⊆ Aut C22xC4232(C2^2xC4^2):25C2128,2176

Non-split extensions G=N.Q with N=C22xC42 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C22xC42).1C2 = C4xC2.C42φ: C2/C1 → C2 ⊆ Aut C22xC42128(C2^2xC4^2).1C2128,164
(C22xC42).2C2 = C24.624C23φ: C2/C1 → C2 ⊆ Aut C22xC42128(C2^2xC4^2).2C2128,166
(C22xC42).3C2 = C24.626C23φ: C2/C1 → C2 ⊆ Aut C22xC42128(C2^2xC4^2).3C2128,168
(C22xC42).4C2 = C2xC22.7C42φ: C2/C1 → C2 ⊆ Aut C22xC42128(C2^2xC4^2).4C2128,459
(C22xC42).5C2 = C4xC22:C8φ: C2/C1 → C2 ⊆ Aut C22xC4264(C2^2xC4^2).5C2128,480
(C22xC42).6C2 = C42.378D4φ: C2/C1 → C2 ⊆ Aut C22xC4264(C2^2xC4^2).6C2128,481
(C22xC42).7C2 = C23.32M4(2)φ: C2/C1 → C2 ⊆ Aut C22xC4264(C2^2xC4^2).7C2128,549
(C22xC42).8C2 = C2xC42:4C4φ: C2/C1 → C2 ⊆ Aut C22xC42128(C2^2xC4^2).8C2128,999
(C22xC42).9C2 = C2xC4xC4:C4φ: C2/C1 → C2 ⊆ Aut C22xC42128(C2^2xC4^2).9C2128,1001
(C22xC42).10C2 = C2xC42:5C4φ: C2/C1 → C2 ⊆ Aut C22xC42128(C2^2xC4^2).10C2128,1014
(C22xC42).11C2 = C2xC23.63C23φ: C2/C1 → C2 ⊆ Aut C22xC42128(C2^2xC4^2).11C2128,1020
(C22xC42).12C2 = C22xC8:C4φ: C2/C1 → C2 ⊆ Aut C22xC42128(C2^2xC4^2).12C2128,1602
(C22xC42).13C2 = C24.625C23φ: C2/C1 → C2 ⊆ Aut C22xC42128(C2^2xC4^2).13C2128,167
(C22xC42).14C2 = C23.28C42φ: C2/C1 → C2 ⊆ Aut C22xC4264(C2^2xC4^2).14C2128,460
(C22xC42).15C2 = C2xC42:6C4φ: C2/C1 → C2 ⊆ Aut C22xC4232(C2^2xC4^2).15C2128,464
(C22xC42).16C2 = C42.425D4φ: C2/C1 → C2 ⊆ Aut C22xC4264(C2^2xC4^2).16C2128,529
(C22xC42).17C2 = C4xC42:C2φ: C2/C1 → C2 ⊆ Aut C22xC4264(C2^2xC4^2).17C2128,1002
(C22xC42).18C2 = C2xC42:8C4φ: C2/C1 → C2 ⊆ Aut C22xC42128(C2^2xC4^2).18C2128,1013
(C22xC42).19C2 = C23.165C24φ: C2/C1 → C2 ⊆ Aut C22xC4264(C2^2xC4^2).19C2128,1015
(C22xC42).20C2 = C2xC42:9C4φ: C2/C1 → C2 ⊆ Aut C22xC42128(C2^2xC4^2).20C2128,1016
(C22xC42).21C2 = C23.167C24φ: C2/C1 → C2 ⊆ Aut C22xC4264(C2^2xC4^2).21C2128,1017
(C22xC42).22C2 = C2xC23.65C23φ: C2/C1 → C2 ⊆ Aut C22xC42128(C2^2xC4^2).22C2128,1023
(C22xC42).23C2 = C2xC23.67C23φ: C2/C1 → C2 ⊆ Aut C22xC42128(C2^2xC4^2).23C2128,1026
(C22xC42).24C2 = C23.178C24φ: C2/C1 → C2 ⊆ Aut C22xC4264(C2^2xC4^2).24C2128,1028
(C22xC42).25C2 = C4xC22:Q8φ: C2/C1 → C2 ⊆ Aut C22xC4264(C2^2xC4^2).25C2128,1034
(C22xC42).26C2 = C42.439D4φ: C2/C1 → C2 ⊆ Aut C22xC4264(C2^2xC4^2).26C2128,1583
(C22xC42).27C2 = C24.599C23φ: C2/C1 → C2 ⊆ Aut C22xC4264(C2^2xC4^2).27C2128,1587
(C22xC42).28C2 = C42.440D4φ: C2/C1 → C2 ⊆ Aut C22xC4264(C2^2xC4^2).28C2128,1589
(C22xC42).29C2 = C2xC4xM4(2)φ: C2/C1 → C2 ⊆ Aut C22xC4264(C2^2xC4^2).29C2128,1603
(C22xC42).30C2 = C22xC4:C8φ: C2/C1 → C2 ⊆ Aut C22xC42128(C2^2xC4^2).30C2128,1634
(C22xC42).31C2 = C2xC4:M4(2)φ: C2/C1 → C2 ⊆ Aut C22xC4264(C2^2xC4^2).31C2128,1635
(C22xC42).32C2 = C2xC42.12C4φ: C2/C1 → C2 ⊆ Aut C22xC4264(C2^2xC4^2).32C2128,1649
(C22xC42).33C2 = C2xC42.6C4φ: C2/C1 → C2 ⊆ Aut C22xC4264(C2^2xC4^2).33C2128,1650
(C22xC42).34C2 = C42.677C23φ: C2/C1 → C2 ⊆ Aut C22xC4232(C2^2xC4^2).34C2128,1652
(C22xC42).35C2 = Q8xC22xC4φ: C2/C1 → C2 ⊆ Aut C22xC42128(C2^2xC4^2).35C2128,2155
(C22xC42).36C2 = C22xC42.C2φ: C2/C1 → C2 ⊆ Aut C22xC42128(C2^2xC4^2).36C2128,2169
(C22xC42).37C2 = C22xC4:Q8φ: C2/C1 → C2 ⊆ Aut C22xC42128(C2^2xC4^2).37C2128,2173
(C22xC42).38C2 = C2xC23.37C23φ: C2/C1 → C2 ⊆ Aut C22xC4264(C2^2xC4^2).38C2128,2175

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