# Extensions 1→N→G→Q→1 with N=C3×C22⋊F5 and Q=C2

Direct product G=N×Q with N=C3×C22⋊F5 and Q=C2
dρLabelID
C6×C22⋊F5120C6xC2^2:F5480,1059

Semidirect products G=N:Q with N=C3×C22⋊F5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C22⋊F5)⋊1C2 = D10.D12φ: C2/C1C2 ⊆ Out C3×C22⋊F51208-(C3xC2^2:F5):1C2480,248
(C3×C22⋊F5)⋊2C2 = D10.4D12φ: C2/C1C2 ⊆ Out C3×C22⋊F51208+(C3xC2^2:F5):2C2480,249
(C3×C22⋊F5)⋊3C2 = S3×C22⋊F5φ: C2/C1C2 ⊆ Out C3×C22⋊F5608+(C3xC2^2:F5):3C2480,1011
(C3×C22⋊F5)⋊4C2 = C3⋊D4⋊F5φ: C2/C1C2 ⊆ Out C3×C22⋊F5608(C3xC2^2:F5):4C2480,1012
(C3×C22⋊F5)⋊5C2 = C3×D10.D4φ: C2/C1C2 ⊆ Out C3×C22⋊F51204(C3xC2^2:F5):5C2480,279
(C3×C22⋊F5)⋊6C2 = C3×C23⋊F5φ: C2/C1C2 ⊆ Out C3×C22⋊F51204(C3xC2^2:F5):6C2480,291
(C3×C22⋊F5)⋊7C2 = C3×D4×F5φ: C2/C1C2 ⊆ Out C3×C22⋊F5608(C3xC2^2:F5):7C2480,1054

Non-split extensions G=N.Q with N=C3×C22⋊F5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C22⋊F5).C2 = C22⋊F5.S3φ: C2/C1C2 ⊆ Out C3×C22⋊F51208-(C3xC2^2:F5).C2480,999
(C3×C22⋊F5).2C2 = C3×D10.C23φ: trivial image1204(C3xC2^2:F5).2C2480,1052

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