# Extensions 1→N→G→Q→1 with N=C2×C22⋊C4 and Q=D5

Direct product G=N×Q with N=C2×C22⋊C4 and Q=D5
dρLabelID
C2×D5×C22⋊C480C2xD5xC2^2:C4320,1156

Semidirect products G=N:Q with N=C2×C22⋊C4 and Q=D5
extensionφ:Q→Out NdρLabelID
(C2×C22⋊C4)⋊1D5 = C2×C23.1D10φ: D5/C5C2 ⊆ Out C2×C22⋊C480(C2xC2^2:C4):1D5320,581
(C2×C22⋊C4)⋊2D5 = C24.48D10φ: D5/C5C2 ⊆ Out C2×C22⋊C480(C2xC2^2:C4):2D5320,582
(C2×C22⋊C4)⋊3D5 = C24.12D10φ: D5/C5C2 ⊆ Out C2×C22⋊C4160(C2xC2^2:C4):3D5320,583
(C2×C22⋊C4)⋊4D5 = C24.13D10φ: D5/C5C2 ⊆ Out C2×C22⋊C4160(C2xC2^2:C4):4D5320,584
(C2×C22⋊C4)⋊5D5 = C23.45D20φ: D5/C5C2 ⊆ Out C2×C22⋊C4160(C2xC2^2:C4):5D5320,585
(C2×C22⋊C4)⋊6D5 = C24.14D10φ: D5/C5C2 ⊆ Out C2×C22⋊C4160(C2xC2^2:C4):6D5320,586
(C2×C22⋊C4)⋊7D5 = C24.24D10φ: D5/C5C2 ⊆ Out C2×C22⋊C480(C2xC2^2:C4):7D5320,1158
(C2×C22⋊C4)⋊8D5 = C232D20φ: D5/C5C2 ⊆ Out C2×C22⋊C4160(C2xC2^2:C4):8D5320,587
(C2×C22⋊C4)⋊9D5 = C24.16D10φ: D5/C5C2 ⊆ Out C2×C22⋊C4160(C2xC2^2:C4):9D5320,588
(C2×C22⋊C4)⋊10D5 = C2×C22⋊D20φ: D5/C5C2 ⊆ Out C2×C22⋊C480(C2xC2^2:C4):10D5320,1159
(C2×C22⋊C4)⋊11D5 = C2×D10.12D4φ: D5/C5C2 ⊆ Out C2×C22⋊C4160(C2xC2^2:C4):11D5320,1160
(C2×C22⋊C4)⋊12D5 = C2×D10⋊D4φ: D5/C5C2 ⊆ Out C2×C22⋊C4160(C2xC2^2:C4):12D5320,1161
(C2×C22⋊C4)⋊13D5 = C24.27D10φ: D5/C5C2 ⊆ Out C2×C22⋊C480(C2xC2^2:C4):13D5320,1162
(C2×C22⋊C4)⋊14D5 = C2×Dic5.5D4φ: D5/C5C2 ⊆ Out C2×C22⋊C4160(C2xC2^2:C4):14D5320,1163
(C2×C22⋊C4)⋊15D5 = C2×C22.D20φ: D5/C5C2 ⊆ Out C2×C22⋊C4160(C2xC2^2:C4):15D5320,1164
(C2×C22⋊C4)⋊16D5 = C233D20φ: D5/C5C2 ⊆ Out C2×C22⋊C480(C2xC2^2:C4):16D5320,1165
(C2×C22⋊C4)⋊17D5 = C24.30D10φ: D5/C5C2 ⊆ Out C2×C22⋊C480(C2xC2^2:C4):17D5320,1166
(C2×C22⋊C4)⋊18D5 = C24.31D10φ: D5/C5C2 ⊆ Out C2×C22⋊C480(C2xC2^2:C4):18D5320,1167
(C2×C22⋊C4)⋊19D5 = C2×Dic54D4φ: trivial image160(C2xC2^2:C4):19D5320,1157

Non-split extensions G=N.Q with N=C2×C22⋊C4 and Q=D5
extensionφ:Q→Out NdρLabelID
(C2×C22⋊C4).1D5 = C24.Dic5φ: D5/C5C2 ⊆ Out C2×C22⋊C480(C2xC2^2:C4).1D5320,83
(C2×C22⋊C4).2D5 = C24.D10φ: D5/C5C2 ⊆ Out C2×C22⋊C480(C2xC2^2:C4).2D5320,84
(C2×C22⋊C4).3D5 = C24.2D10φ: D5/C5C2 ⊆ Out C2×C22⋊C480(C2xC2^2:C4).3D5320,85
(C2×C22⋊C4).4D5 = C24.44D10φ: D5/C5C2 ⊆ Out C2×C22⋊C4160(C2xC2^2:C4).4D5320,569
(C2×C22⋊C4).5D5 = C23.42D20φ: D5/C5C2 ⊆ Out C2×C22⋊C4160(C2xC2^2:C4).5D5320,570
(C2×C22⋊C4).6D5 = C24.3D10φ: D5/C5C2 ⊆ Out C2×C22⋊C4160(C2xC2^2:C4).6D5320,571
(C2×C22⋊C4).7D5 = C24.4D10φ: D5/C5C2 ⊆ Out C2×C22⋊C4160(C2xC2^2:C4).7D5320,572
(C2×C22⋊C4).8D5 = C24.46D10φ: D5/C5C2 ⊆ Out C2×C22⋊C4160(C2xC2^2:C4).8D5320,573
(C2×C22⋊C4).9D5 = C24.9D10φ: D5/C5C2 ⊆ Out C2×C22⋊C4160(C2xC2^2:C4).9D5320,579
(C2×C22⋊C4).10D5 = C23⋊Dic10φ: D5/C5C2 ⊆ Out C2×C22⋊C4160(C2xC2^2:C4).10D5320,574
(C2×C22⋊C4).11D5 = C24.6D10φ: D5/C5C2 ⊆ Out C2×C22⋊C4160(C2xC2^2:C4).11D5320,575
(C2×C22⋊C4).12D5 = C24.7D10φ: D5/C5C2 ⊆ Out C2×C22⋊C4160(C2xC2^2:C4).12D5320,576
(C2×C22⋊C4).13D5 = C24.47D10φ: D5/C5C2 ⊆ Out C2×C22⋊C4160(C2xC2^2:C4).13D5320,577
(C2×C22⋊C4).14D5 = C24.8D10φ: D5/C5C2 ⊆ Out C2×C22⋊C4160(C2xC2^2:C4).14D5320,578
(C2×C22⋊C4).15D5 = C23.14D20φ: D5/C5C2 ⊆ Out C2×C22⋊C4160(C2xC2^2:C4).15D5320,580
(C2×C22⋊C4).16D5 = C2×Dic5.14D4φ: D5/C5C2 ⊆ Out C2×C22⋊C4160(C2xC2^2:C4).16D5320,1153
(C2×C22⋊C4).17D5 = C2×C23.D10φ: D5/C5C2 ⊆ Out C2×C22⋊C4160(C2xC2^2:C4).17D5320,1154
(C2×C22⋊C4).18D5 = C232Dic10φ: D5/C5C2 ⊆ Out C2×C22⋊C480(C2xC2^2:C4).18D5320,1155
(C2×C22⋊C4).19D5 = C22⋊C4×Dic5φ: trivial image160(C2xC2^2:C4).19D5320,568
(C2×C22⋊C4).20D5 = C2×C23.11D10φ: trivial image160(C2xC2^2:C4).20D5320,1152

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