# Extensions 1→N→G→Q→1 with N=C4 and Q=S3×D5

Direct product G=N×Q with N=C4 and Q=S3×D5
dρLabelID
C4×S3×D5604C4xS3xD5240,135

Semidirect products G=N:Q with N=C4 and Q=S3×D5
extensionφ:Q→Aut NdρLabelID
C41(S3×D5) = S3×D20φ: S3×D5/C5×S3C2 ⊆ Aut C4604+C4:1(S3xD5)240,137
C42(S3×D5) = D5×D12φ: S3×D5/C3×D5C2 ⊆ Aut C4604+C4:2(S3xD5)240,136
C43(S3×D5) = C20⋊D6φ: S3×D5/D15C2 ⊆ Aut C4604C4:3(S3xD5)240,138

Non-split extensions G=N.Q with N=C4 and Q=S3×D5
extensionφ:Q→Aut NdρLabelID
C4.1(S3×D5) = C3⋊D40φ: S3×D5/C5×S3C2 ⊆ Aut C41204+C4.1(S3xD5)240,14
C4.2(S3×D5) = C6.D20φ: S3×D5/C5×S3C2 ⊆ Aut C41204-C4.2(S3xD5)240,18
C4.3(S3×D5) = C15⋊SD16φ: S3×D5/C5×S3C2 ⊆ Aut C41204+C4.3(S3xD5)240,19
C4.4(S3×D5) = C3⋊Dic20φ: S3×D5/C5×S3C2 ⊆ Aut C42404-C4.4(S3xD5)240,23
C4.5(S3×D5) = D205S3φ: S3×D5/C5×S3C2 ⊆ Aut C41204-C4.5(S3xD5)240,126
C4.6(S3×D5) = S3×Dic10φ: S3×D5/C5×S3C2 ⊆ Aut C41204-C4.6(S3xD5)240,128
C4.7(S3×D5) = D60⋊C2φ: S3×D5/C5×S3C2 ⊆ Aut C41204+C4.7(S3xD5)240,130
C4.8(S3×D5) = C5⋊D24φ: S3×D5/C3×D5C2 ⊆ Aut C41204+C4.8(S3xD5)240,15
C4.9(S3×D5) = D12.D5φ: S3×D5/C3×D5C2 ⊆ Aut C41204-C4.9(S3xD5)240,20
C4.10(S3×D5) = Dic6⋊D5φ: S3×D5/C3×D5C2 ⊆ Aut C41204+C4.10(S3xD5)240,21
C4.11(S3×D5) = C5⋊Dic12φ: S3×D5/C3×D5C2 ⊆ Aut C42404-C4.11(S3xD5)240,24
C4.12(S3×D5) = D5×Dic6φ: S3×D5/C3×D5C2 ⊆ Aut C41204-C4.12(S3xD5)240,125
C4.13(S3×D5) = D125D5φ: S3×D5/C3×D5C2 ⊆ Aut C41204-C4.13(S3xD5)240,133
C4.14(S3×D5) = C12.28D10φ: S3×D5/C3×D5C2 ⊆ Aut C41204+C4.14(S3xD5)240,134
C4.15(S3×D5) = C15⋊D8φ: S3×D5/D15C2 ⊆ Aut C41204C4.15(S3xD5)240,13
C4.16(S3×D5) = C30.D4φ: S3×D5/D15C2 ⊆ Aut C41204C4.16(S3xD5)240,16
C4.17(S3×D5) = C20.D6φ: S3×D5/D15C2 ⊆ Aut C41204C4.17(S3xD5)240,17
C4.18(S3×D5) = C15⋊Q16φ: S3×D5/D15C2 ⊆ Aut C42404C4.18(S3xD5)240,22
C4.19(S3×D5) = D20⋊S3φ: S3×D5/D15C2 ⊆ Aut C41204C4.19(S3xD5)240,127
C4.20(S3×D5) = D12⋊D5φ: S3×D5/D15C2 ⊆ Aut C41204C4.20(S3xD5)240,129
C4.21(S3×D5) = D15⋊Q8φ: S3×D5/D15C2 ⊆ Aut C41204C4.21(S3xD5)240,131
C4.22(S3×D5) = D5×C3⋊C8central extension (φ=1)1204C4.22(S3xD5)240,7
C4.23(S3×D5) = S3×C52C8central extension (φ=1)1204C4.23(S3xD5)240,8
C4.24(S3×D5) = D152C8central extension (φ=1)1204C4.24(S3xD5)240,9
C4.25(S3×D5) = C20.32D6central extension (φ=1)1204C4.25(S3xD5)240,10
C4.26(S3×D5) = D6.Dic5central extension (φ=1)1204C4.26(S3xD5)240,11
C4.27(S3×D5) = D30.5C4central extension (φ=1)1204C4.27(S3xD5)240,12
C4.28(S3×D5) = D6.D10central extension (φ=1)1204C4.28(S3xD5)240,132

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