# Extensions 1→N→G→Q→1 with N=C10×A4 and Q=C22

Direct product G=N×Q with N=C10×A4 and Q=C22
dρLabelID
A4×C22×C10120A4xC2^2xC10480,1208

Semidirect products G=N:Q with N=C10×A4 and Q=C22
extensionφ:Q→Out NdρLabelID
(C10×A4)⋊C22 = C2×D5×S4φ: C22/C1C22 ⊆ Out C10×A4306+(C10xA4):C2^2480,1193
(C10×A4)⋊2C22 = C22×C5⋊S4φ: C22/C2C2 ⊆ Out C10×A460(C10xA4):2C2^2480,1199
(C10×A4)⋊3C22 = C22×D5×A4φ: C22/C2C2 ⊆ Out C10×A460(C10xA4):3C2^2480,1202
(C10×A4)⋊4C22 = C2×C10×S4φ: C22/C2C2 ⊆ Out C10×A460(C10xA4):4C2^2480,1198

Non-split extensions G=N.Q with N=C10×A4 and Q=C22
extensionφ:Q→Out NdρLabelID
(C10×A4).1C22 = A4⋊Dic10φ: C22/C1C22 ⊆ Out C10×A41206-(C10xA4).1C2^2480,975
(C10×A4).2C22 = Dic5×S4φ: C22/C1C22 ⊆ Out C10×A4606-(C10xA4).2C2^2480,976
(C10×A4).3C22 = Dic52S4φ: C22/C1C22 ⊆ Out C10×A4606(C10xA4).3C2^2480,977
(C10×A4).4C22 = Dic5⋊S4φ: C22/C1C22 ⊆ Out C10×A4606(C10xA4).4C2^2480,978
(C10×A4).5C22 = D5×A4⋊C4φ: C22/C1C22 ⊆ Out C10×A4606(C10xA4).5C2^2480,979
(C10×A4).6C22 = D10⋊S4φ: C22/C1C22 ⊆ Out C10×A4606(C10xA4).6C2^2480,980
(C10×A4).7C22 = A4⋊D20φ: C22/C1C22 ⊆ Out C10×A4606+(C10xA4).7C2^2480,981
(C10×A4).8C22 = C20.1S4φ: C22/C2C2 ⊆ Out C10×A41206-(C10xA4).8C2^2480,1024
(C10×A4).9C22 = C4×C5⋊S4φ: C22/C2C2 ⊆ Out C10×A4606(C10xA4).9C2^2480,1025
(C10×A4).10C22 = C20⋊S4φ: C22/C2C2 ⊆ Out C10×A4606+(C10xA4).10C2^2480,1026
(C10×A4).11C22 = C2×A4⋊Dic5φ: C22/C2C2 ⊆ Out C10×A4120(C10xA4).11C2^2480,1033
(C10×A4).12C22 = C242D15φ: C22/C2C2 ⊆ Out C10×A4606(C10xA4).12C2^2480,1034
(C10×A4).13C22 = A4×Dic10φ: C22/C2C2 ⊆ Out C10×A41206-(C10xA4).13C2^2480,1035
(C10×A4).14C22 = C4×D5×A4φ: C22/C2C2 ⊆ Out C10×A4606(C10xA4).14C2^2480,1036
(C10×A4).15C22 = A4×D20φ: C22/C2C2 ⊆ Out C10×A4606+(C10xA4).15C2^2480,1037
(C10×A4).16C22 = C2×A4×Dic5φ: C22/C2C2 ⊆ Out C10×A4120(C10xA4).16C2^2480,1044
(C10×A4).17C22 = A4×C5⋊D4φ: C22/C2C2 ⊆ Out C10×A4606(C10xA4).17C2^2480,1045
(C10×A4).18C22 = C5×A4⋊Q8φ: C22/C2C2 ⊆ Out C10×A41206(C10xA4).18C2^2480,1013
(C10×A4).19C22 = C20×S4φ: C22/C2C2 ⊆ Out C10×A4603(C10xA4).19C2^2480,1014
(C10×A4).20C22 = C5×C4⋊S4φ: C22/C2C2 ⊆ Out C10×A4606(C10xA4).20C2^2480,1015
(C10×A4).21C22 = C10×A4⋊C4φ: C22/C2C2 ⊆ Out C10×A4120(C10xA4).21C2^2480,1022
(C10×A4).22C22 = C5×A4⋊D4φ: C22/C2C2 ⊆ Out C10×A4606(C10xA4).22C2^2480,1023
(C10×A4).23C22 = A4×C2×C20φ: trivial image120(C10xA4).23C2^2480,1126
(C10×A4).24C22 = C5×D4×A4φ: trivial image606(C10xA4).24C2^2480,1127
(C10×A4).25C22 = C5×Q8×A4φ: trivial image1206(C10xA4).25C2^2480,1129

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