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Extensions 1→N→G→Q→1 with N=S3×C2×C10 and Q=C4

Direct product G=N×Q with N=S3×C2×C10 and Q=C4
dρLabelID
S3×C22×C20240S3xC2^2xC20480,1151

Semidirect products G=N:Q with N=S3×C2×C10 and Q=C4
extensionφ:Q→Out NdρLabelID
(S3×C2×C10)⋊1C4 = C15⋊8(C23⋊C4)φ: C4/C1 → C4 ⊆ Out S3×C2×C101204(S3xC2xC10):1C4480,72
(S3×C2×C10)⋊2C4 = D10.D12φ: C4/C1 → C4 ⊆ Out S3×C2×C101208-(S3xC2xC10):2C4480,248
(S3×C2×C10)⋊3C4 = C2×D6⋊F5φ: C4/C1 → C4 ⊆ Out S3×C2×C10120(S3xC2xC10):3C4480,1000
(S3×C2×C10)⋊4C4 = S3×C22⋊F5φ: C4/C1 → C4 ⊆ Out S3×C2×C10608+(S3xC2xC10):4C4480,1011
(S3×C2×C10)⋊5C4 = C22×S3×F5φ: C4/C1 → C4 ⊆ Out S3×C2×C1060(S3xC2xC10):5C4480,1197
(S3×C2×C10)⋊6C4 = C5×C23.6D6φ: C4/C1 → C4 ⊆ Out S3×C2×C101204(S3xC2xC10):6C4480,125
(S3×C2×C10)⋊7C4 = C2×D6⋊Dic5φ: C4/C2 → C2 ⊆ Out S3×C2×C10240(S3xC2xC10):7C4480,614
(S3×C2×C10)⋊8C4 = S3×C23.D5φ: C4/C2 → C2 ⊆ Out S3×C2×C10120(S3xC2xC10):8C4480,630
(S3×C2×C10)⋊9C4 = C22×S3×Dic5φ: C4/C2 → C2 ⊆ Out S3×C2×C10240(S3xC2xC10):9C4480,1115
(S3×C2×C10)⋊10C4 = C5×S3×C22⋊C4φ: C4/C2 → C2 ⊆ Out S3×C2×C10120(S3xC2xC10):10C4480,759
(S3×C2×C10)⋊11C4 = C10×D6⋊C4φ: C4/C2 → C2 ⊆ Out S3×C2×C10240(S3xC2xC10):11C4480,806

Non-split extensions G=N.Q with N=S3×C2×C10 and Q=C4
extensionφ:Q→Out NdρLabelID
(S3×C2×C10).1C4 = C20.5D12φ: C4/C1 → C4 ⊆ Out S3×C2×C101204(S3xC2xC10).1C4480,35
(S3×C2×C10).2C4 = Dic5.22D12φ: C4/C1 → C4 ⊆ Out S3×C2×C10240(S3xC2xC10).2C4480,246
(S3×C2×C10).3C4 = Dic5.D12φ: C4/C1 → C4 ⊆ Out S3×C2×C101208+(S3xC2xC10).3C4480,250
(S3×C2×C10).4C4 = C2×S3×C5⋊C8φ: C4/C1 → C4 ⊆ Out S3×C2×C10240(S3xC2xC10).4C4480,1002
(S3×C2×C10).5C4 = S3×C22.F5φ: C4/C1 → C4 ⊆ Out S3×C2×C101208-(S3xC2xC10).5C4480,1004
(S3×C2×C10).6C4 = C2×D6.F5φ: C4/C1 → C4 ⊆ Out S3×C2×C10240(S3xC2xC10).6C4480,1008
(S3×C2×C10).7C4 = C5×C12.46D4φ: C4/C1 → C4 ⊆ Out S3×C2×C101204(S3xC2xC10).7C4480,142
(S3×C2×C10).8C4 = C60.94D4φ: C4/C2 → C2 ⊆ Out S3×C2×C10240(S3xC2xC10).8C4480,32
(S3×C2×C10).9C4 = C2×S3×C5⋊2C8φ: C4/C2 → C2 ⊆ Out S3×C2×C10240(S3xC2xC10).9C4480,361
(S3×C2×C10).10C4 = S3×C4.Dic5φ: C4/C2 → C2 ⊆ Out S3×C2×C101204(S3xC2xC10).10C4480,363
(S3×C2×C10).11C4 = C2×D6.Dic5φ: C4/C2 → C2 ⊆ Out S3×C2×C10240(S3xC2xC10).11C4480,370
(S3×C2×C10).12C4 = C5×D6⋊C8φ: C4/C2 → C2 ⊆ Out S3×C2×C10240(S3xC2xC10).12C4480,139
(S3×C2×C10).13C4 = C10×C8⋊S3φ: C4/C2 → C2 ⊆ Out S3×C2×C10240(S3xC2xC10).13C4480,779
(S3×C2×C10).14C4 = C5×S3×M4(2)φ: C4/C2 → C2 ⊆ Out S3×C2×C101204(S3xC2xC10).14C4480,785
(S3×C2×C10).15C4 = S3×C2×C40φ: trivial image240(S3xC2xC10).15C4480,778

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