# Extensions 1→N→G→Q→1 with N=A4×C2×C10 and Q=C2

Direct product G=N×Q with N=A4×C2×C10 and Q=C2
dρLabelID
A4×C22×C10120A4xC2^2xC10480,1208

Semidirect products G=N:Q with N=A4×C2×C10 and Q=C2
extensionφ:Q→Out NdρLabelID
(A4×C2×C10)⋊1C2 = C5×D4×A4φ: C2/C1C2 ⊆ Out A4×C2×C10606(A4xC2xC10):1C2480,1127
(A4×C2×C10)⋊2C2 = C242D15φ: C2/C1C2 ⊆ Out A4×C2×C10606(A4xC2xC10):2C2480,1034
(A4×C2×C10)⋊3C2 = C22×C5⋊S4φ: C2/C1C2 ⊆ Out A4×C2×C1060(A4xC2xC10):3C2480,1199
(A4×C2×C10)⋊4C2 = A4×C5⋊D4φ: C2/C1C2 ⊆ Out A4×C2×C10606(A4xC2xC10):4C2480,1045
(A4×C2×C10)⋊5C2 = C22×D5×A4φ: C2/C1C2 ⊆ Out A4×C2×C1060(A4xC2xC10):5C2480,1202
(A4×C2×C10)⋊6C2 = C5×A4⋊D4φ: C2/C1C2 ⊆ Out A4×C2×C10606(A4xC2xC10):6C2480,1023
(A4×C2×C10)⋊7C2 = C2×C10×S4φ: C2/C1C2 ⊆ Out A4×C2×C1060(A4xC2xC10):7C2480,1198

Non-split extensions G=N.Q with N=A4×C2×C10 and Q=C2
extensionφ:Q→Out NdρLabelID
(A4×C2×C10).1C2 = C2×A4⋊Dic5φ: C2/C1C2 ⊆ Out A4×C2×C10120(A4xC2xC10).1C2480,1033
(A4×C2×C10).2C2 = C2×A4×Dic5φ: C2/C1C2 ⊆ Out A4×C2×C10120(A4xC2xC10).2C2480,1044
(A4×C2×C10).3C2 = C10×A4⋊C4φ: C2/C1C2 ⊆ Out A4×C2×C10120(A4xC2xC10).3C2480,1022
(A4×C2×C10).4C2 = A4×C2×C20φ: trivial image120(A4xC2xC10).4C2480,1126

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