Extensions 1→N→G→Q→1 with N=C24 and Q=C2xC6

Direct product G=NxQ with N=C24 and Q=C2xC6
dρLabelID
C2xC6xC24288C2xC6xC24288,826

Semidirect products G=N:Q with N=C24 and Q=C2xC6
extensionφ:Q→Aut NdρLabelID
C24:1(C2xC6) = C3xC8:D6φ: C2xC6/C3C22 ⊆ Aut C24484C24:1(C2xC6)288,679
C24:2(C2xC6) = C3xS3xD8φ: C2xC6/C3C22 ⊆ Aut C24484C24:2(C2xC6)288,681
C24:3(C2xC6) = C3xQ8:3D6φ: C2xC6/C3C22 ⊆ Aut C24484C24:3(C2xC6)288,685
C24:4(C2xC6) = C3xD8:S3φ: C2xC6/C3C22 ⊆ Aut C24484C24:4(C2xC6)288,682
C24:5(C2xC6) = C3xS3xSD16φ: C2xC6/C3C22 ⊆ Aut C24484C24:5(C2xC6)288,684
C24:6(C2xC6) = C32xC8:C22φ: C2xC6/C3C22 ⊆ Aut C2472C24:6(C2xC6)288,833
C24:7(C2xC6) = C3xS3xM4(2)φ: C2xC6/C3C22 ⊆ Aut C24484C24:7(C2xC6)288,677
C24:8(C2xC6) = C6xD24φ: C2xC6/C6C2 ⊆ Aut C2496C24:8(C2xC6)288,674
C24:9(C2xC6) = C6xC24:C2φ: C2xC6/C6C2 ⊆ Aut C2496C24:9(C2xC6)288,673
C24:10(C2xC6) = D8xC3xC6φ: C2xC6/C6C2 ⊆ Aut C24144C24:10(C2xC6)288,829
C24:11(C2xC6) = S3xC2xC24φ: C2xC6/C6C2 ⊆ Aut C2496C24:11(C2xC6)288,670
C24:12(C2xC6) = C6xC8:S3φ: C2xC6/C6C2 ⊆ Aut C2496C24:12(C2xC6)288,671
C24:13(C2xC6) = SD16xC3xC6φ: C2xC6/C6C2 ⊆ Aut C24144C24:13(C2xC6)288,830
C24:14(C2xC6) = M4(2)xC3xC6φ: C2xC6/C6C2 ⊆ Aut C24144C24:14(C2xC6)288,827

Non-split extensions G=N.Q with N=C24 and Q=C2xC6
extensionφ:Q→Aut NdρLabelID
C24.1(C2xC6) = C3xC8.D6φ: C2xC6/C3C22 ⊆ Aut C24484C24.1(C2xC6)288,680
C24.2(C2xC6) = C3xC3:D16φ: C2xC6/C3C22 ⊆ Aut C24484C24.2(C2xC6)288,260
C24.3(C2xC6) = C3xD8.S3φ: C2xC6/C3C22 ⊆ Aut C24484C24.3(C2xC6)288,261
C24.4(C2xC6) = C3xC8.6D6φ: C2xC6/C3C22 ⊆ Aut C24964C24.4(C2xC6)288,262
C24.5(C2xC6) = C3xC3:Q32φ: C2xC6/C3C22 ⊆ Aut C24964C24.5(C2xC6)288,263
C24.6(C2xC6) = C3xD8:3S3φ: C2xC6/C3C22 ⊆ Aut C24484C24.6(C2xC6)288,683
C24.7(C2xC6) = C3xS3xQ16φ: C2xC6/C3C22 ⊆ Aut C24964C24.7(C2xC6)288,688
C24.8(C2xC6) = C3xD24:C2φ: C2xC6/C3C22 ⊆ Aut C24964C24.8(C2xC6)288,690
C24.9(C2xC6) = C3xD4.D6φ: C2xC6/C3C22 ⊆ Aut C24484C24.9(C2xC6)288,686
C24.10(C2xC6) = C3xQ16:S3φ: C2xC6/C3C22 ⊆ Aut C24964C24.10(C2xC6)288,689
C24.11(C2xC6) = C3xQ8.7D6φ: C2xC6/C3C22 ⊆ Aut C24484C24.11(C2xC6)288,687
C24.12(C2xC6) = C9xC8:C22φ: C2xC6/C3C22 ⊆ Aut C24724C24.12(C2xC6)288,186
C24.13(C2xC6) = C9xC8.C22φ: C2xC6/C3C22 ⊆ Aut C241444C24.13(C2xC6)288,187
C24.14(C2xC6) = C32xC8.C22φ: C2xC6/C3C22 ⊆ Aut C24144C24.14(C2xC6)288,834
C24.15(C2xC6) = C3xD12.C4φ: C2xC6/C3C22 ⊆ Aut C24484C24.15(C2xC6)288,678
C24.16(C2xC6) = C3xD48φ: C2xC6/C6C2 ⊆ Aut C24962C24.16(C2xC6)288,233
C24.17(C2xC6) = C3xC48:C2φ: C2xC6/C6C2 ⊆ Aut C24962C24.17(C2xC6)288,234
C24.18(C2xC6) = C3xDic24φ: C2xC6/C6C2 ⊆ Aut C24962C24.18(C2xC6)288,235
C24.19(C2xC6) = C3xC4oD24φ: C2xC6/C6C2 ⊆ Aut C24482C24.19(C2xC6)288,675
C24.20(C2xC6) = C6xDic12φ: C2xC6/C6C2 ⊆ Aut C2496C24.20(C2xC6)288,676
C24.21(C2xC6) = C9xD16φ: C2xC6/C6C2 ⊆ Aut C241442C24.21(C2xC6)288,61
C24.22(C2xC6) = C9xSD32φ: C2xC6/C6C2 ⊆ Aut C241442C24.22(C2xC6)288,62
C24.23(C2xC6) = C9xQ32φ: C2xC6/C6C2 ⊆ Aut C242882C24.23(C2xC6)288,63
C24.24(C2xC6) = D8xC18φ: C2xC6/C6C2 ⊆ Aut C24144C24.24(C2xC6)288,182
C24.25(C2xC6) = Q16xC18φ: C2xC6/C6C2 ⊆ Aut C24288C24.25(C2xC6)288,184
C24.26(C2xC6) = C9xC4oD8φ: C2xC6/C6C2 ⊆ Aut C241442C24.26(C2xC6)288,185
C24.27(C2xC6) = C32xD16φ: C2xC6/C6C2 ⊆ Aut C24144C24.27(C2xC6)288,329
C24.28(C2xC6) = C32xSD32φ: C2xC6/C6C2 ⊆ Aut C24144C24.28(C2xC6)288,330
C24.29(C2xC6) = C32xQ32φ: C2xC6/C6C2 ⊆ Aut C24288C24.29(C2xC6)288,331
C24.30(C2xC6) = Q16xC3xC6φ: C2xC6/C6C2 ⊆ Aut C24288C24.30(C2xC6)288,831
C24.31(C2xC6) = C32xC4oD8φ: C2xC6/C6C2 ⊆ Aut C24144C24.31(C2xC6)288,832
C24.32(C2xC6) = S3xC48φ: C2xC6/C6C2 ⊆ Aut C24962C24.32(C2xC6)288,231
C24.33(C2xC6) = C3xD6.C8φ: C2xC6/C6C2 ⊆ Aut C24962C24.33(C2xC6)288,232
C24.34(C2xC6) = C6xC3:C16φ: C2xC6/C6C2 ⊆ Aut C2496C24.34(C2xC6)288,245
C24.35(C2xC6) = C3xC12.C8φ: C2xC6/C6C2 ⊆ Aut C24482C24.35(C2xC6)288,246
C24.36(C2xC6) = C3xC8oD12φ: C2xC6/C6C2 ⊆ Aut C24482C24.36(C2xC6)288,672
C24.37(C2xC6) = SD16xC18φ: C2xC6/C6C2 ⊆ Aut C24144C24.37(C2xC6)288,183
C24.38(C2xC6) = M4(2)xC18φ: C2xC6/C6C2 ⊆ Aut C24144C24.38(C2xC6)288,180
C24.39(C2xC6) = C9xC8oD4φ: C2xC6/C6C2 ⊆ Aut C241442C24.39(C2xC6)288,181
C24.40(C2xC6) = C32xC8oD4φ: C2xC6/C6C2 ⊆ Aut C24144C24.40(C2xC6)288,828
C24.41(C2xC6) = C9xM5(2)central extension (φ=1)1442C24.41(C2xC6)288,60
C24.42(C2xC6) = C32xM5(2)central extension (φ=1)144C24.42(C2xC6)288,328

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