Extensions 1→N→G→Q→1 with N=C24 and Q=C3xS3

Direct product G=NxQ with N=C24 and Q=C3xS3
dρLabelID
S3xC3xC24144S3xC3xC24432,464

Semidirect products G=N:Q with N=C24 and Q=C3xS3
extensionφ:Q→Aut NdρLabelID
C24:1(C3xS3) = C3xC32:5D8φ: C3xS3/C32C2 ⊆ Aut C24144C24:1(C3xS3)432,483
C24:2(C3xS3) = C3xC24:2S3φ: C3xS3/C32C2 ⊆ Aut C24144C24:2(C3xS3)432,482
C24:3(C3xS3) = C32xD24φ: C3xS3/C32C2 ⊆ Aut C24144C24:3(C3xS3)432,467
C24:4(C3xS3) = C3:S3xC24φ: C3xS3/C32C2 ⊆ Aut C24144C24:4(C3xS3)432,480
C24:5(C3xS3) = C3xC24:S3φ: C3xS3/C32C2 ⊆ Aut C24144C24:5(C3xS3)432,481
C24:6(C3xS3) = C32xC24:C2φ: C3xS3/C32C2 ⊆ Aut C24144C24:6(C3xS3)432,466
C24:7(C3xS3) = C32xC8:S3φ: C3xS3/C32C2 ⊆ Aut C24144C24:7(C3xS3)432,465

Non-split extensions G=N.Q with N=C24 and Q=C3xS3
extensionφ:Q→Aut NdρLabelID
C24.1(C3xS3) = C3xDic36φ: C3xS3/C32C2 ⊆ Aut C241442C24.1(C3xS3)432,104
C24.2(C3xS3) = C3xD72φ: C3xS3/C32C2 ⊆ Aut C241442C24.2(C3xS3)432,108
C24.3(C3xS3) = He3:4Q16φ: C3xS3/C32C2 ⊆ Aut C241446-C24.3(C3xS3)432,114
C24.4(C3xS3) = He3:4D8φ: C3xS3/C32C2 ⊆ Aut C24726+C24.4(C3xS3)432,118
C24.5(C3xS3) = C72.C6φ: C3xS3/C32C2 ⊆ Aut C241446-C24.5(C3xS3)432,119
C24.6(C3xS3) = D72:C3φ: C3xS3/C32C2 ⊆ Aut C24726+C24.6(C3xS3)432,123
C24.7(C3xS3) = C3xC32:5Q16φ: C3xS3/C32C2 ⊆ Aut C24144C24.7(C3xS3)432,484
C24.8(C3xS3) = C3xC72:C2φ: C3xS3/C32C2 ⊆ Aut C241442C24.8(C3xS3)432,107
C24.9(C3xS3) = He3:6SD16φ: C3xS3/C32C2 ⊆ Aut C24726C24.9(C3xS3)432,117
C24.10(C3xS3) = C72:2C6φ: C3xS3/C32C2 ⊆ Aut C24726C24.10(C3xS3)432,122
C24.11(C3xS3) = C9xD24φ: C3xS3/C32C2 ⊆ Aut C241442C24.11(C3xS3)432,112
C24.12(C3xS3) = C9xDic12φ: C3xS3/C32C2 ⊆ Aut C241442C24.12(C3xS3)432,113
C24.13(C3xS3) = C32xDic12φ: C3xS3/C32C2 ⊆ Aut C24144C24.13(C3xS3)432,468
C24.14(C3xS3) = C3xC9:C16φ: C3xS3/C32C2 ⊆ Aut C241442C24.14(C3xS3)432,28
C24.15(C3xS3) = He3:3C16φ: C3xS3/C32C2 ⊆ Aut C241446C24.15(C3xS3)432,30
C24.16(C3xS3) = C9:C48φ: C3xS3/C32C2 ⊆ Aut C241446C24.16(C3xS3)432,31
C24.17(C3xS3) = D9xC24φ: C3xS3/C32C2 ⊆ Aut C241442C24.17(C3xS3)432,105
C24.18(C3xS3) = C3xC8:D9φ: C3xS3/C32C2 ⊆ Aut C241442C24.18(C3xS3)432,106
C24.19(C3xS3) = C8xC32:C6φ: C3xS3/C32C2 ⊆ Aut C24726C24.19(C3xS3)432,115
C24.20(C3xS3) = He3:5M4(2)φ: C3xS3/C32C2 ⊆ Aut C24726C24.20(C3xS3)432,116
C24.21(C3xS3) = C8xC9:C6φ: C3xS3/C32C2 ⊆ Aut C24726C24.21(C3xS3)432,120
C24.22(C3xS3) = C72:C6φ: C3xS3/C32C2 ⊆ Aut C24726C24.22(C3xS3)432,121
C24.23(C3xS3) = C3xC24.S3φ: C3xS3/C32C2 ⊆ Aut C24144C24.23(C3xS3)432,230
C24.24(C3xS3) = C9xC24:C2φ: C3xS3/C32C2 ⊆ Aut C241442C24.24(C3xS3)432,111
C24.25(C3xS3) = C9xC8:S3φ: C3xS3/C32C2 ⊆ Aut C241442C24.25(C3xS3)432,110
C24.26(C3xS3) = C9xC3:C16central extension (φ=1)1442C24.26(C3xS3)432,29
C24.27(C3xS3) = S3xC72central extension (φ=1)1442C24.27(C3xS3)432,109
C24.28(C3xS3) = C32xC3:C16central extension (φ=1)144C24.28(C3xS3)432,229

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