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Extensions 1→N→G→Q→1 with N=C22 and Q=S3×F5

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

Semidirect products G=N:Q with N=C22 and Q=S3×F5
extensionφ:Q→Aut NdρLabelID
C22⋊(S3×F5) = F5×S4φ: S3×F5/F5 → S3 ⊆ Aut C222012+C2^2:(S3xF5)480,1189
C22⋊2(S3×F5) = F5×C3⋊D4φ: S3×F5/C3×F5 → C2 ⊆ Aut C22608C2^2:2(S3xF5)480,1010
C22⋊3(S3×F5) = C3⋊D4⋊F5φ: S3×F5/C3⋊F5 → C2 ⊆ Aut C22608C2^2:3(S3xF5)480,1012
C22⋊4(S3×F5) = S3×C22⋊F5φ: S3×F5/S3×D5 → C2 ⊆ Aut C22608+C2^2:4(S3xF5)480,1011

Non-split extensions G=N.Q with N=C22 and Q=S3×F5
extensionφ:Q→Aut NdρLabelID
C22.1(S3×F5) = C5⋊C8.D6φ: S3×F5/C3×F5 → C2 ⊆ Aut C222408C2^2.1(S3xF5)480,1003
C22.2(S3×F5) = D15⋊C8⋊C2φ: S3×F5/C3⋊F5 → C2 ⊆ Aut C222408C2^2.2(S3xF5)480,1005
C22.3(S3×F5) = D10.D12φ: S3×F5/S3×D5 → C2 ⊆ Aut C221208-C2^2.3(S3xF5)480,248
C22.4(S3×F5) = D10.4D12φ: S3×F5/S3×D5 → C2 ⊆ Aut C221208+C2^2.4(S3xF5)480,249
C22.5(S3×F5) = Dic5.D12φ: S3×F5/S3×D5 → C2 ⊆ Aut C221208+C2^2.5(S3xF5)480,250
C22.6(S3×F5) = Dic5.4D12φ: S3×F5/S3×D5 → C2 ⊆ Aut C222408-C2^2.6(S3xF5)480,251
C22.7(S3×F5) = C22⋊F5.S3φ: S3×F5/S3×D5 → C2 ⊆ Aut C221208-C2^2.7(S3xF5)480,999
C22.8(S3×F5) = S3×C22.F5φ: S3×F5/S3×D5 → C2 ⊆ Aut C221208-C2^2.8(S3xF5)480,1004
C22.9(S3×F5) = D15⋊2M4(2)φ: S3×F5/S3×D5 → C2 ⊆ Aut C221208+C2^2.9(S3xF5)480,1007
C22.10(S3×F5) = D10.20D12central extension (φ=1)120C2^2.10(S3xF5)480,243
C22.11(S3×F5) = Dic3×C5⋊C8central extension (φ=1)480C2^2.11(S3xF5)480,244
C22.12(S3×F5) = C30.M4(2)central extension (φ=1)480C2^2.12(S3xF5)480,245
C22.13(S3×F5) = Dic5.22D12central extension (φ=1)240C2^2.13(S3xF5)480,246
C22.14(S3×F5) = D30⋊C8central extension (φ=1)240C2^2.14(S3xF5)480,247
C22.15(S3×F5) = C30.4M4(2)central extension (φ=1)480C2^2.15(S3xF5)480,252
C22.16(S3×F5) = Dic15⋊C8central extension (φ=1)480C2^2.16(S3xF5)480,253
C22.17(S3×F5) = C2×Dic3×F5central extension (φ=1)120C2^2.17(S3xF5)480,998
C22.18(S3×F5) = C2×D6⋊F5central extension (φ=1)120C2^2.18(S3xF5)480,1000
C22.19(S3×F5) = C2×Dic3⋊F5central extension (φ=1)120C2^2.19(S3xF5)480,1001
C22.20(S3×F5) = C2×S3×C5⋊C8central extension (φ=1)240C2^2.20(S3xF5)480,1002
C22.21(S3×F5) = C2×D15⋊C8central extension (φ=1)240C2^2.21(S3xF5)480,1006
C22.22(S3×F5) = C2×D6.F5central extension (φ=1)240C2^2.22(S3xF5)480,1008
C22.23(S3×F5) = C2×Dic3.F5central extension (φ=1)240C2^2.23(S3xF5)480,1009

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