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Extensions 1→N→G→Q→1 with N=C6 and Q=D4:S3

Direct product G=NxQ with N=C6 and Q=D4:S3
dρLabelID
C6xD4:S348C6xD4:S3288,702

Semidirect products G=N:Q with N=C6 and Q=D4:S3
extensionφ:Q→Aut NdρLabelID
C6:1(D4:S3) = C2xC3:D24φ: D4:S3/C3:C8 → C2 ⊆ Aut C648C6:1(D4:S3)288,472
C6:2(D4:S3) = C2xC32:2D8φ: D4:S3/D12 → C2 ⊆ Aut C696C6:2(D4:S3)288,469
C6:3(D4:S3) = C2xC32:7D8φ: D4:S3/C3xD4 → C2 ⊆ Aut C6144C6:3(D4:S3)288,788

Non-split extensions G=N.Q with N=C6 and Q=D4:S3
extensionφ:Q→Aut NdρLabelID
C6.1(D4:S3) = C3:D48φ: D4:S3/C3:C8 → C2 ⊆ Aut C6484+C6.1(D4:S3)288,194
C6.2(D4:S3) = C32:3SD32φ: D4:S3/C3:C8 → C2 ⊆ Aut C6964-C6.2(D4:S3)288,196
C6.3(D4:S3) = C24.49D6φ: D4:S3/C3:C8 → C2 ⊆ Aut C6484+C6.3(D4:S3)288,197
C6.4(D4:S3) = C32:3Q32φ: D4:S3/C3:C8 → C2 ⊆ Aut C6964-C6.4(D4:S3)288,199
C6.5(D4:S3) = C6.16D24φ: D4:S3/C3:C8 → C2 ⊆ Aut C696C6.5(D4:S3)288,211
C6.6(D4:S3) = C6.17D24φ: D4:S3/C3:C8 → C2 ⊆ Aut C648C6.6(D4:S3)288,212
C6.7(D4:S3) = C6.18D24φ: D4:S3/C3:C8 → C2 ⊆ Aut C696C6.7(D4:S3)288,223
C6.8(D4:S3) = C32:2D16φ: D4:S3/D12 → C2 ⊆ Aut C6964C6.8(D4:S3)288,193
C6.9(D4:S3) = D24.S3φ: D4:S3/D12 → C2 ⊆ Aut C6964C6.9(D4:S3)288,195
C6.10(D4:S3) = C32:2Q32φ: D4:S3/D12 → C2 ⊆ Aut C6964C6.10(D4:S3)288,198
C6.11(D4:S3) = D12:3Dic3φ: D4:S3/D12 → C2 ⊆ Aut C696C6.11(D4:S3)288,210
C6.12(D4:S3) = C12.8Dic6φ: D4:S3/D12 → C2 ⊆ Aut C696C6.12(D4:S3)288,224
C6.13(D4:S3) = C36.Q8φ: D4:S3/C3xD4 → C2 ⊆ Aut C6288C6.13(D4:S3)288,14
C6.14(D4:S3) = C18.D8φ: D4:S3/C3xD4 → C2 ⊆ Aut C6144C6.14(D4:S3)288,17
C6.15(D4:S3) = C9:D16φ: D4:S3/C3xD4 → C2 ⊆ Aut C61444+C6.15(D4:S3)288,33
C6.16(D4:S3) = D8.D9φ: D4:S3/C3xD4 → C2 ⊆ Aut C61444-C6.16(D4:S3)288,34
C6.17(D4:S3) = C9:SD32φ: D4:S3/C3xD4 → C2 ⊆ Aut C61444+C6.17(D4:S3)288,35
C6.18(D4:S3) = C9:Q32φ: D4:S3/C3xD4 → C2 ⊆ Aut C62884-C6.18(D4:S3)288,36
C6.19(D4:S3) = D4:Dic9φ: D4:S3/C3xD4 → C2 ⊆ Aut C6144C6.19(D4:S3)288,40
C6.20(D4:S3) = C2xD4:D9φ: D4:S3/C3xD4 → C2 ⊆ Aut C6144C6.20(D4:S3)288,142
C6.21(D4:S3) = C12.9Dic6φ: D4:S3/C3xD4 → C2 ⊆ Aut C6288C6.21(D4:S3)288,282
C6.22(D4:S3) = C62.113D4φ: D4:S3/C3xD4 → C2 ⊆ Aut C6144C6.22(D4:S3)288,284
C6.23(D4:S3) = C32:7D16φ: D4:S3/C3xD4 → C2 ⊆ Aut C6144C6.23(D4:S3)288,301
C6.24(D4:S3) = C32:8SD32φ: D4:S3/C3xD4 → C2 ⊆ Aut C6144C6.24(D4:S3)288,302
C6.25(D4:S3) = C32:10SD32φ: D4:S3/C3xD4 → C2 ⊆ Aut C6144C6.25(D4:S3)288,303
C6.26(D4:S3) = C32:7Q32φ: D4:S3/C3xD4 → C2 ⊆ Aut C6288C6.26(D4:S3)288,304
C6.27(D4:S3) = C62.116D4φ: D4:S3/C3xD4 → C2 ⊆ Aut C6144C6.27(D4:S3)288,307
C6.28(D4:S3) = C3xC6.Q16central extension (φ=1)96C6.28(D4:S3)288,241
C6.29(D4:S3) = C3xC6.D8central extension (φ=1)96C6.29(D4:S3)288,243
C6.30(D4:S3) = C3xC3:D16central extension (φ=1)484C6.30(D4:S3)288,260
C6.31(D4:S3) = C3xD8.S3central extension (φ=1)484C6.31(D4:S3)288,261
C6.32(D4:S3) = C3xC8.6D6central extension (φ=1)964C6.32(D4:S3)288,262
C6.33(D4:S3) = C3xC3:Q32central extension (φ=1)964C6.33(D4:S3)288,263
C6.34(D4:S3) = C3xD4:Dic3central extension (φ=1)48C6.34(D4:S3)288,266

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