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Extensions 1→N→G→Q→1 with N=C4 and Q=S3×F5

Direct product G=N×Q with N=C4 and Q=S3×F5
dρLabelID
C4×S3×F5608C4xS3xF5480,994

Semidirect products G=N:Q with N=C4 and Q=S3×F5
extensionφ:Q→Aut NdρLabelID
C4⋊1(S3×F5) = F5×D12φ: S3×F5/C3×F5 → C2 ⊆ Aut C4608+C4:1(S3xF5)480,995
C4⋊2(S3×F5) = D60⋊3C4φ: S3×F5/C3⋊F5 → C2 ⊆ Aut C4608+C4:2(S3xF5)480,997
C4⋊3(S3×F5) = S3×C4⋊F5φ: S3×F5/S3×D5 → C2 ⊆ Aut C4608C4:3(S3xF5)480,996

Non-split extensions G=N.Q with N=C4 and Q=S3×F5
extensionφ:Q→Aut NdρLabelID
C4.1(S3×F5) = D12⋊F5φ: S3×F5/C3×F5 → C2 ⊆ Aut C41208+C4.1(S3xF5)480,228
C4.2(S3×F5) = Dic30⋊C4φ: S3×F5/C3×F5 → C2 ⊆ Aut C41208-C4.2(S3xF5)480,230
C4.3(S3×F5) = D12⋊2F5φ: S3×F5/C3×F5 → C2 ⊆ Aut C41208-C4.3(S3xF5)480,232
C4.4(S3×F5) = D60⋊5C4φ: S3×F5/C3×F5 → C2 ⊆ Aut C41208+C4.4(S3xF5)480,234
C4.5(S3×F5) = F5×Dic6φ: S3×F5/C3×F5 → C2 ⊆ Aut C41208-C4.5(S3xF5)480,982
C4.6(S3×F5) = D12.2F5φ: S3×F5/C3×F5 → C2 ⊆ Aut C42408-C4.6(S3xF5)480,987
C4.7(S3×F5) = D60.C4φ: S3×F5/C3×F5 → C2 ⊆ Aut C42408+C4.7(S3xF5)480,990
C4.8(S3×F5) = D60⋊C4φ: S3×F5/C3⋊F5 → C2 ⊆ Aut C41208+C4.8(S3xF5)480,227
C4.9(S3×F5) = Dic6⋊F5φ: S3×F5/C3⋊F5 → C2 ⊆ Aut C41208-C4.9(S3xF5)480,229
C4.10(S3×F5) = D12⋊4F5φ: S3×F5/C3⋊F5 → C2 ⊆ Aut C41208-C4.10(S3xF5)480,231
C4.11(S3×F5) = D60⋊2C4φ: S3×F5/C3⋊F5 → C2 ⊆ Aut C41208+C4.11(S3xF5)480,233
C4.12(S3×F5) = Dic6⋊5F5φ: S3×F5/C3⋊F5 → C2 ⊆ Aut C41208-C4.12(S3xF5)480,984
C4.13(S3×F5) = D12.F5φ: S3×F5/C3⋊F5 → C2 ⊆ Aut C42408-C4.13(S3xF5)480,989
C4.14(S3×F5) = Dic6.F5φ: S3×F5/C3⋊F5 → C2 ⊆ Aut C42408+C4.14(S3xF5)480,992
C4.15(S3×F5) = Dic5.Dic6φ: S3×F5/S3×D5 → C2 ⊆ Aut C41208C4.15(S3xF5)480,235
C4.16(S3×F5) = Dic5.4Dic6φ: S3×F5/S3×D5 → C2 ⊆ Aut C41208C4.16(S3xF5)480,236
C4.17(S3×F5) = D10.Dic6φ: S3×F5/S3×D5 → C2 ⊆ Aut C42408C4.17(S3xF5)480,237
C4.18(S3×F5) = D10.2Dic6φ: S3×F5/S3×D5 → C2 ⊆ Aut C42408C4.18(S3xF5)480,238
C4.19(S3×F5) = C4⋊F5⋊3S3φ: S3×F5/S3×D5 → C2 ⊆ Aut C41208C4.19(S3xF5)480,983
C4.20(S3×F5) = S3×C4.F5φ: S3×F5/S3×D5 → C2 ⊆ Aut C41208C4.20(S3xF5)480,988
C4.21(S3×F5) = D15⋊M4(2)φ: S3×F5/S3×D5 → C2 ⊆ Aut C41208C4.21(S3xF5)480,991
C4.22(S3×F5) = F5×C3⋊C8central extension (φ=1)1208C4.22(S3xF5)480,223
C4.23(S3×F5) = C30.C42central extension (φ=1)1208C4.23(S3xF5)480,224
C4.24(S3×F5) = C30.3C42central extension (φ=1)1208C4.24(S3xF5)480,225
C4.25(S3×F5) = C30.4C42central extension (φ=1)1208C4.25(S3xF5)480,226
C4.26(S3×F5) = S3×C5⋊C16central extension (φ=1)2408C4.26(S3xF5)480,239
C4.27(S3×F5) = D15⋊C16central extension (φ=1)2408C4.27(S3xF5)480,240
C4.28(S3×F5) = C15⋊M5(2)central extension (φ=1)2408C4.28(S3xF5)480,241
C4.29(S3×F5) = D30.C8central extension (φ=1)2408C4.29(S3xF5)480,242
C4.30(S3×F5) = (C4×S3)⋊F5central extension (φ=1)1208C4.30(S3xF5)480,985
C4.31(S3×F5) = S3×D5⋊C8central extension (φ=1)1208C4.31(S3xF5)480,986
C4.32(S3×F5) = C5⋊C8⋊D6central extension (φ=1)1208C4.32(S3xF5)480,993

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