Extensions 1→N→G→Q→1 with N=C2×F5 and Q=D6

Direct product G=N×Q with N=C2×F5 and Q=D6
dρLabelID
C22×S3×F560C2^2xS3xF5480,1197

Semidirect products G=N:Q with N=C2×F5 and Q=D6
extensionφ:Q→Out NdρLabelID
(C2×F5)⋊1D6 = S3×C22⋊F5φ: D6/S3C2 ⊆ Out C2×F5608+(C2xF5):1D6480,1011
(C2×F5)⋊2D6 = C2×D6⋊F5φ: D6/C6C2 ⊆ Out C2×F5120(C2xF5):2D6480,1000

Non-split extensions G=N.Q with N=C2×F5 and Q=D6
extensionφ:Q→Out NdρLabelID
(C2×F5).1D6 = C4⋊F53S3φ: D6/S3C2 ⊆ Out C2×F51208(C2xF5).1D6480,983
(C2×F5).2D6 = Dic65F5φ: D6/S3C2 ⊆ Out C2×F51208-(C2xF5).2D6480,984
(C2×F5).3D6 = S3×C4⋊F5φ: D6/S3C2 ⊆ Out C2×F5608(C2xF5).3D6480,996
(C2×F5).4D6 = D603C4φ: D6/S3C2 ⊆ Out C2×F5608+(C2xF5).4D6480,997
(C2×F5).5D6 = C22⋊F5.S3φ: D6/S3C2 ⊆ Out C2×F51208-(C2xF5).5D6480,999
(C2×F5).6D6 = C3⋊D4⋊F5φ: D6/S3C2 ⊆ Out C2×F5608(C2xF5).6D6480,1012
(C2×F5).7D6 = (C4×S3)⋊F5φ: D6/C6C2 ⊆ Out C2×F51208(C2xF5).7D6480,985
(C2×F5).8D6 = C2×Dic3⋊F5φ: D6/C6C2 ⊆ Out C2×F5120(C2xF5).8D6480,1001
(C2×F5).9D6 = F5×Dic6φ: trivial image1208-(C2xF5).9D6480,982
(C2×F5).10D6 = C4×S3×F5φ: trivial image608(C2xF5).10D6480,994
(C2×F5).11D6 = F5×D12φ: trivial image608+(C2xF5).11D6480,995
(C2×F5).12D6 = C2×Dic3×F5φ: trivial image120(C2xF5).12D6480,998
(C2×F5).13D6 = F5×C3⋊D4φ: trivial image608(C2xF5).13D6480,1010

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