Extensions 1→N→G→Q→1 with N=C4 and Q=C6×D5

Direct product G=N×Q with N=C4 and Q=C6×D5
dρLabelID
D5×C2×C12120D5xC2xC12240,156

Semidirect products G=N:Q with N=C4 and Q=C6×D5
extensionφ:Q→Aut NdρLabelID
C41(C6×D5) = C3×D4×D5φ: C6×D5/C3×D5C2 ⊆ Aut C4604C4:1(C6xD5)240,159
C42(C6×D5) = C6×D20φ: C6×D5/C30C2 ⊆ Aut C4120C4:2(C6xD5)240,157

Non-split extensions G=N.Q with N=C4 and Q=C6×D5
extensionφ:Q→Aut NdρLabelID
C4.1(C6×D5) = C3×D4⋊D5φ: C6×D5/C3×D5C2 ⊆ Aut C41204C4.1(C6xD5)240,44
C4.2(C6×D5) = C3×D4.D5φ: C6×D5/C3×D5C2 ⊆ Aut C41204C4.2(C6xD5)240,45
C4.3(C6×D5) = C3×Q8⋊D5φ: C6×D5/C3×D5C2 ⊆ Aut C41204C4.3(C6xD5)240,46
C4.4(C6×D5) = C3×C5⋊Q16φ: C6×D5/C3×D5C2 ⊆ Aut C42404C4.4(C6xD5)240,47
C4.5(C6×D5) = C3×D42D5φ: C6×D5/C3×D5C2 ⊆ Aut C41204C4.5(C6xD5)240,160
C4.6(C6×D5) = C3×Q8×D5φ: C6×D5/C3×D5C2 ⊆ Aut C41204C4.6(C6xD5)240,161
C4.7(C6×D5) = C3×Q82D5φ: C6×D5/C3×D5C2 ⊆ Aut C41204C4.7(C6xD5)240,162
C4.8(C6×D5) = C3×C40⋊C2φ: C6×D5/C30C2 ⊆ Aut C41202C4.8(C6xD5)240,35
C4.9(C6×D5) = C3×D40φ: C6×D5/C30C2 ⊆ Aut C41202C4.9(C6xD5)240,36
C4.10(C6×D5) = C3×Dic20φ: C6×D5/C30C2 ⊆ Aut C42402C4.10(C6xD5)240,37
C4.11(C6×D5) = C6×Dic10φ: C6×D5/C30C2 ⊆ Aut C4240C4.11(C6xD5)240,155
C4.12(C6×D5) = D5×C24central extension (φ=1)1202C4.12(C6xD5)240,33
C4.13(C6×D5) = C3×C8⋊D5central extension (φ=1)1202C4.13(C6xD5)240,34
C4.14(C6×D5) = C6×C52C8central extension (φ=1)240C4.14(C6xD5)240,38
C4.15(C6×D5) = C3×C4.Dic5central extension (φ=1)1202C4.15(C6xD5)240,39
C4.16(C6×D5) = C3×C4○D20central extension (φ=1)1202C4.16(C6xD5)240,158

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