Extensions 1→N→G→Q→1 with N=C4.F5 and Q=C6

Direct product G=NxQ with N=C4.F5 and Q=C6
dρLabelID
C6xC4.F5240C6xC4.F5480,1048

Semidirect products G=N:Q with N=C4.F5 and Q=C6
extensionφ:Q→Out NdρLabelID
C4.F5:1C6 = C3xD4:F5φ: C6/C3C2 ⊆ Out C4.F51208C4.F5:1C6480,288
C4.F5:2C6 = C3xQ8:2F5φ: C6/C3C2 ⊆ Out C4.F51208C4.F5:2C6480,290
C4.F5:3C6 = C3xD4.F5φ: C6/C3C2 ⊆ Out C4.F52408C4.F5:3C6480,1053
C4.F5:4C6 = C3xQ8.F5φ: C6/C3C2 ⊆ Out C4.F52408C4.F5:4C6480,1055
C4.F5:5C6 = C3xD5:M4(2)φ: trivial image1204C4.F5:5C6480,1049

Non-split extensions G=N.Q with N=C4.F5 and Q=C6
extensionφ:Q→Out NdρLabelID
C4.F5.1C6 = C3xC40.C4φ: C6/C3C2 ⊆ Out C4.F52404C4.F5.1C6480,275
C4.F5.2C6 = C3xD10.Q8φ: C6/C3C2 ⊆ Out C4.F52404C4.F5.2C6480,276

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