# Extensions 1→N→G→Q→1 with N=C24 and Q=C3×S3

Direct product G=N×Q with N=C24 and Q=C3×S3
dρLabelID
S3×C3×C24144S3xC3xC24432,464

Semidirect products G=N:Q with N=C24 and Q=C3×S3
extensionφ:Q→Aut NdρLabelID
C241(C3×S3) = C3×C325D8φ: C3×S3/C32C2 ⊆ Aut C24144C24:1(C3xS3)432,483
C242(C3×S3) = C3×C242S3φ: C3×S3/C32C2 ⊆ Aut C24144C24:2(C3xS3)432,482
C243(C3×S3) = C32×D24φ: C3×S3/C32C2 ⊆ Aut C24144C24:3(C3xS3)432,467
C244(C3×S3) = C3⋊S3×C24φ: C3×S3/C32C2 ⊆ Aut C24144C24:4(C3xS3)432,480
C245(C3×S3) = C3×C24⋊S3φ: C3×S3/C32C2 ⊆ Aut C24144C24:5(C3xS3)432,481
C246(C3×S3) = C32×C24⋊C2φ: C3×S3/C32C2 ⊆ Aut C24144C24:6(C3xS3)432,466
C247(C3×S3) = C32×C8⋊S3φ: C3×S3/C32C2 ⊆ Aut C24144C24:7(C3xS3)432,465

Non-split extensions G=N.Q with N=C24 and Q=C3×S3
extensionφ:Q→Aut NdρLabelID
C24.1(C3×S3) = C3×Dic36φ: C3×S3/C32C2 ⊆ Aut C241442C24.1(C3xS3)432,104
C24.2(C3×S3) = C3×D72φ: C3×S3/C32C2 ⊆ Aut C241442C24.2(C3xS3)432,108
C24.3(C3×S3) = He34Q16φ: C3×S3/C32C2 ⊆ Aut C241446-C24.3(C3xS3)432,114
C24.4(C3×S3) = He34D8φ: C3×S3/C32C2 ⊆ Aut C24726+C24.4(C3xS3)432,118
C24.5(C3×S3) = C72.C6φ: C3×S3/C32C2 ⊆ Aut C241446-C24.5(C3xS3)432,119
C24.6(C3×S3) = D72⋊C3φ: C3×S3/C32C2 ⊆ Aut C24726+C24.6(C3xS3)432,123
C24.7(C3×S3) = C3×C325Q16φ: C3×S3/C32C2 ⊆ Aut C24144C24.7(C3xS3)432,484
C24.8(C3×S3) = C3×C72⋊C2φ: C3×S3/C32C2 ⊆ Aut C241442C24.8(C3xS3)432,107
C24.9(C3×S3) = He36SD16φ: C3×S3/C32C2 ⊆ Aut C24726C24.9(C3xS3)432,117
C24.10(C3×S3) = C722C6φ: C3×S3/C32C2 ⊆ Aut C24726C24.10(C3xS3)432,122
C24.11(C3×S3) = C9×D24φ: C3×S3/C32C2 ⊆ Aut C241442C24.11(C3xS3)432,112
C24.12(C3×S3) = C9×Dic12φ: C3×S3/C32C2 ⊆ Aut C241442C24.12(C3xS3)432,113
C24.13(C3×S3) = C32×Dic12φ: C3×S3/C32C2 ⊆ Aut C24144C24.13(C3xS3)432,468
C24.14(C3×S3) = C3×C9⋊C16φ: C3×S3/C32C2 ⊆ Aut C241442C24.14(C3xS3)432,28
C24.15(C3×S3) = He33C16φ: C3×S3/C32C2 ⊆ Aut C241446C24.15(C3xS3)432,30
C24.16(C3×S3) = C9⋊C48φ: C3×S3/C32C2 ⊆ Aut C241446C24.16(C3xS3)432,31
C24.17(C3×S3) = D9×C24φ: C3×S3/C32C2 ⊆ Aut C241442C24.17(C3xS3)432,105
C24.18(C3×S3) = C3×C8⋊D9φ: C3×S3/C32C2 ⊆ Aut C241442C24.18(C3xS3)432,106
C24.19(C3×S3) = C8×C32⋊C6φ: C3×S3/C32C2 ⊆ Aut C24726C24.19(C3xS3)432,115
C24.20(C3×S3) = He35M4(2)φ: C3×S3/C32C2 ⊆ Aut C24726C24.20(C3xS3)432,116
C24.21(C3×S3) = C8×C9⋊C6φ: C3×S3/C32C2 ⊆ Aut C24726C24.21(C3xS3)432,120
C24.22(C3×S3) = C72⋊C6φ: C3×S3/C32C2 ⊆ Aut C24726C24.22(C3xS3)432,121
C24.23(C3×S3) = C3×C24.S3φ: C3×S3/C32C2 ⊆ Aut C24144C24.23(C3xS3)432,230
C24.24(C3×S3) = C9×C24⋊C2φ: C3×S3/C32C2 ⊆ Aut C241442C24.24(C3xS3)432,111
C24.25(C3×S3) = C9×C8⋊S3φ: C3×S3/C32C2 ⊆ Aut C241442C24.25(C3xS3)432,110
C24.26(C3×S3) = C9×C3⋊C16central extension (φ=1)1442C24.26(C3xS3)432,29
C24.27(C3×S3) = S3×C72central extension (φ=1)1442C24.27(C3xS3)432,109
C24.28(C3×S3) = C32×C3⋊C16central extension (φ=1)144C24.28(C3xS3)432,229

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