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Extensions 1→N→G→Q→1 with N=C12 and Q=C22xC6

Direct product G=NxQ with N=C12 and Q=C22xC6
dρLabelID
C22xC6xC12288C2^2xC6xC12288,1018

Semidirect products G=N:Q with N=C12 and Q=C22xC6
extensionφ:Q→Aut NdρLabelID
C12:(C22xC6) = S3xC6xD4φ: C22xC6/C6 → C22 ⊆ Aut C1248C12:(C2^2xC6)288,992
C12:2(C22xC6) = C2xC6xD12φ: C22xC6/C2xC6 → C2 ⊆ Aut C1296C12:2(C2^2xC6)288,990
C12:3(C22xC6) = S3xC22xC12φ: C22xC6/C2xC6 → C2 ⊆ Aut C1296C12:3(C2^2xC6)288,989
C12:4(C22xC6) = D4xC62φ: C22xC6/C2xC6 → C2 ⊆ Aut C12144C12:4(C2^2xC6)288,1019

Non-split extensions G=N.Q with N=C12 and Q=C22xC6
extensionφ:Q→Aut NdρLabelID
C12.1(C22xC6) = C3xS3xD8φ: C22xC6/C6 → C22 ⊆ Aut C12484C12.1(C2^2xC6)288,681
C12.2(C22xC6) = C3xD8:S3φ: C22xC6/C6 → C22 ⊆ Aut C12484C12.2(C2^2xC6)288,682
C12.3(C22xC6) = C3xD8:3S3φ: C22xC6/C6 → C22 ⊆ Aut C12484C12.3(C2^2xC6)288,683
C12.4(C22xC6) = C3xS3xSD16φ: C22xC6/C6 → C22 ⊆ Aut C12484C12.4(C2^2xC6)288,684
C12.5(C22xC6) = C3xQ8:3D6φ: C22xC6/C6 → C22 ⊆ Aut C12484C12.5(C2^2xC6)288,685
C12.6(C22xC6) = C3xD4.D6φ: C22xC6/C6 → C22 ⊆ Aut C12484C12.6(C2^2xC6)288,686
C12.7(C22xC6) = C3xQ8.7D6φ: C22xC6/C6 → C22 ⊆ Aut C12484C12.7(C2^2xC6)288,687
C12.8(C22xC6) = C3xS3xQ16φ: C22xC6/C6 → C22 ⊆ Aut C12964C12.8(C2^2xC6)288,688
C12.9(C22xC6) = C3xQ16:S3φ: C22xC6/C6 → C22 ⊆ Aut C12964C12.9(C2^2xC6)288,689
C12.10(C22xC6) = C3xD24:C2φ: C22xC6/C6 → C22 ⊆ Aut C12964C12.10(C2^2xC6)288,690
C12.11(C22xC6) = C6xD4:S3φ: C22xC6/C6 → C22 ⊆ Aut C1248C12.11(C2^2xC6)288,702
C12.12(C22xC6) = C3xD12:6C22φ: C22xC6/C6 → C22 ⊆ Aut C12244C12.12(C2^2xC6)288,703
C12.13(C22xC6) = C6xD4.S3φ: C22xC6/C6 → C22 ⊆ Aut C1248C12.13(C2^2xC6)288,704
C12.14(C22xC6) = C6xQ8:2S3φ: C22xC6/C6 → C22 ⊆ Aut C1296C12.14(C2^2xC6)288,712
C12.15(C22xC6) = C3xQ8.11D6φ: C22xC6/C6 → C22 ⊆ Aut C12484C12.15(C2^2xC6)288,713
C12.16(C22xC6) = C6xC3:Q16φ: C22xC6/C6 → C22 ⊆ Aut C1296C12.16(C2^2xC6)288,714
C12.17(C22xC6) = C3xD4:D6φ: C22xC6/C6 → C22 ⊆ Aut C12484C12.17(C2^2xC6)288,720
C12.18(C22xC6) = C3xQ8.13D6φ: C22xC6/C6 → C22 ⊆ Aut C12484C12.18(C2^2xC6)288,721
C12.19(C22xC6) = C3xQ8.14D6φ: C22xC6/C6 → C22 ⊆ Aut C12484C12.19(C2^2xC6)288,722
C12.20(C22xC6) = C6xD4:2S3φ: C22xC6/C6 → C22 ⊆ Aut C1248C12.20(C2^2xC6)288,993
C12.21(C22xC6) = C3xD4:6D6φ: C22xC6/C6 → C22 ⊆ Aut C12244C12.21(C2^2xC6)288,994
C12.22(C22xC6) = S3xC6xQ8φ: C22xC6/C6 → C22 ⊆ Aut C1296C12.22(C2^2xC6)288,995
C12.23(C22xC6) = C6xQ8:3S3φ: C22xC6/C6 → C22 ⊆ Aut C1296C12.23(C2^2xC6)288,996
C12.24(C22xC6) = C3xQ8.15D6φ: C22xC6/C6 → C22 ⊆ Aut C12484C12.24(C2^2xC6)288,997
C12.25(C22xC6) = C3xS3xC4oD4φ: C22xC6/C6 → C22 ⊆ Aut C12484C12.25(C2^2xC6)288,998
C12.26(C22xC6) = C3xD4oD12φ: C22xC6/C6 → C22 ⊆ Aut C12484C12.26(C2^2xC6)288,999
C12.27(C22xC6) = C3xQ8oD12φ: C22xC6/C6 → C22 ⊆ Aut C12484C12.27(C2^2xC6)288,1000
C12.28(C22xC6) = C6xC24:C2φ: C22xC6/C2xC6 → C2 ⊆ Aut C1296C12.28(C2^2xC6)288,673
C12.29(C22xC6) = C6xD24φ: C22xC6/C2xC6 → C2 ⊆ Aut C1296C12.29(C2^2xC6)288,674
C12.30(C22xC6) = C3xC4oD24φ: C22xC6/C2xC6 → C2 ⊆ Aut C12482C12.30(C2^2xC6)288,675
C12.31(C22xC6) = C6xDic12φ: C22xC6/C2xC6 → C2 ⊆ Aut C1296C12.31(C2^2xC6)288,676
C12.32(C22xC6) = C3xC8:D6φ: C22xC6/C2xC6 → C2 ⊆ Aut C12484C12.32(C2^2xC6)288,679
C12.33(C22xC6) = C3xC8.D6φ: C22xC6/C2xC6 → C2 ⊆ Aut C12484C12.33(C2^2xC6)288,680
C12.34(C22xC6) = C2xC6xDic6φ: C22xC6/C2xC6 → C2 ⊆ Aut C1296C12.34(C2^2xC6)288,988
C12.35(C22xC6) = S3xC2xC24φ: C22xC6/C2xC6 → C2 ⊆ Aut C1296C12.35(C2^2xC6)288,670
C12.36(C22xC6) = C6xC8:S3φ: C22xC6/C2xC6 → C2 ⊆ Aut C1296C12.36(C2^2xC6)288,671
C12.37(C22xC6) = C3xC8oD12φ: C22xC6/C2xC6 → C2 ⊆ Aut C12482C12.37(C2^2xC6)288,672
C12.38(C22xC6) = C3xS3xM4(2)φ: C22xC6/C2xC6 → C2 ⊆ Aut C12484C12.38(C2^2xC6)288,677
C12.39(C22xC6) = C3xD12.C4φ: C22xC6/C2xC6 → C2 ⊆ Aut C12484C12.39(C2^2xC6)288,678
C12.40(C22xC6) = C2xC6xC3:C8φ: C22xC6/C2xC6 → C2 ⊆ Aut C1296C12.40(C2^2xC6)288,691
C12.41(C22xC6) = C6xC4.Dic3φ: C22xC6/C2xC6 → C2 ⊆ Aut C1248C12.41(C2^2xC6)288,692
C12.42(C22xC6) = C3xD4.Dic3φ: C22xC6/C2xC6 → C2 ⊆ Aut C12484C12.42(C2^2xC6)288,719
C12.43(C22xC6) = C6xC4oD12φ: C22xC6/C2xC6 → C2 ⊆ Aut C1248C12.43(C2^2xC6)288,991
C12.44(C22xC6) = D8xC18φ: C22xC6/C2xC6 → C2 ⊆ Aut C12144C12.44(C2^2xC6)288,182
C12.45(C22xC6) = SD16xC18φ: C22xC6/C2xC6 → C2 ⊆ Aut C12144C12.45(C2^2xC6)288,183
C12.46(C22xC6) = Q16xC18φ: C22xC6/C2xC6 → C2 ⊆ Aut C12288C12.46(C2^2xC6)288,184
C12.47(C22xC6) = C9xC4oD8φ: C22xC6/C2xC6 → C2 ⊆ Aut C121442C12.47(C2^2xC6)288,185
C12.48(C22xC6) = C9xC8:C22φ: C22xC6/C2xC6 → C2 ⊆ Aut C12724C12.48(C2^2xC6)288,186
C12.49(C22xC6) = C9xC8.C22φ: C22xC6/C2xC6 → C2 ⊆ Aut C121444C12.49(C2^2xC6)288,187
C12.50(C22xC6) = D4xC2xC18φ: C22xC6/C2xC6 → C2 ⊆ Aut C12144C12.50(C2^2xC6)288,368
C12.51(C22xC6) = Q8xC2xC18φ: C22xC6/C2xC6 → C2 ⊆ Aut C12288C12.51(C2^2xC6)288,369
C12.52(C22xC6) = C4oD4xC18φ: C22xC6/C2xC6 → C2 ⊆ Aut C12144C12.52(C2^2xC6)288,370
C12.53(C22xC6) = C9x2+ 1+4φ: C22xC6/C2xC6 → C2 ⊆ Aut C12724C12.53(C2^2xC6)288,371
C12.54(C22xC6) = C9x2- 1+4φ: C22xC6/C2xC6 → C2 ⊆ Aut C121444C12.54(C2^2xC6)288,372
C12.55(C22xC6) = D8xC3xC6φ: C22xC6/C2xC6 → C2 ⊆ Aut C12144C12.55(C2^2xC6)288,829
C12.56(C22xC6) = SD16xC3xC6φ: C22xC6/C2xC6 → C2 ⊆ Aut C12144C12.56(C2^2xC6)288,830
C12.57(C22xC6) = Q16xC3xC6φ: C22xC6/C2xC6 → C2 ⊆ Aut C12288C12.57(C2^2xC6)288,831
C12.58(C22xC6) = C32xC4oD8φ: C22xC6/C2xC6 → C2 ⊆ Aut C12144C12.58(C2^2xC6)288,832
C12.59(C22xC6) = C32xC8:C22φ: C22xC6/C2xC6 → C2 ⊆ Aut C1272C12.59(C2^2xC6)288,833
C12.60(C22xC6) = C32xC8.C22φ: C22xC6/C2xC6 → C2 ⊆ Aut C12144C12.60(C2^2xC6)288,834
C12.61(C22xC6) = Q8xC62φ: C22xC6/C2xC6 → C2 ⊆ Aut C12288C12.61(C2^2xC6)288,1020
C12.62(C22xC6) = C4oD4xC3xC6φ: C22xC6/C2xC6 → C2 ⊆ Aut C12144C12.62(C2^2xC6)288,1021
C12.63(C22xC6) = C32x2+ 1+4φ: C22xC6/C2xC6 → C2 ⊆ Aut C1272C12.63(C2^2xC6)288,1022
C12.64(C22xC6) = C32x2- 1+4φ: C22xC6/C2xC6 → C2 ⊆ Aut C12144C12.64(C2^2xC6)288,1023
C12.65(C22xC6) = M4(2)xC18central extension (φ=1)144C12.65(C2^2xC6)288,180
C12.66(C22xC6) = C9xC8oD4central extension (φ=1)1442C12.66(C2^2xC6)288,181
C12.67(C22xC6) = M4(2)xC3xC6central extension (φ=1)144C12.67(C2^2xC6)288,827
C12.68(C22xC6) = C32xC8oD4central extension (φ=1)144C12.68(C2^2xC6)288,828

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