# Extensions 1→N→G→Q→1 with N=C6 and Q=C2×M4(2)

Direct product G=N×Q with N=C6 and Q=C2×M4(2)
dρLabelID
C2×C6×M4(2)96C2xC6xM4(2)192,1455

Semidirect products G=N:Q with N=C6 and Q=C2×M4(2)
extensionφ:Q→Aut NdρLabelID
C61(C2×M4(2)) = C22×C8⋊S3φ: C2×M4(2)/C2×C8C2 ⊆ Aut C696C6:1(C2xM4(2))192,1296
C62(C2×M4(2)) = C2×S3×M4(2)φ: C2×M4(2)/M4(2)C2 ⊆ Aut C648C6:2(C2xM4(2))192,1302
C63(C2×M4(2)) = C22×C4.Dic3φ: C2×M4(2)/C22×C4C2 ⊆ Aut C696C6:3(C2xM4(2))192,1340

Non-split extensions G=N.Q with N=C6 and Q=C2×M4(2)
extensionφ:Q→Aut NdρLabelID
C6.1(C2×M4(2)) = C2412Q8φ: C2×M4(2)/C2×C8C2 ⊆ Aut C6192C6.1(C2xM4(2))192,238
C6.2(C2×M4(2)) = C42.282D6φ: C2×M4(2)/C2×C8C2 ⊆ Aut C696C6.2(C2xM4(2))192,244
C6.3(C2×M4(2)) = C4×C8⋊S3φ: C2×M4(2)/C2×C8C2 ⊆ Aut C696C6.3(C2xM4(2))192,246
C6.4(C2×M4(2)) = C86D12φ: C2×M4(2)/C2×C8C2 ⊆ Aut C696C6.4(C2xM4(2))192,247
C6.5(C2×M4(2)) = D6⋊M4(2)φ: C2×M4(2)/C2×C8C2 ⊆ Aut C648C6.5(C2xM4(2))192,285
C6.6(C2×M4(2)) = C3⋊C826D4φ: C2×M4(2)/C2×C8C2 ⊆ Aut C696C6.6(C2xM4(2))192,289
C6.7(C2×M4(2)) = C42.198D6φ: C2×M4(2)/C2×C8C2 ⊆ Aut C6192C6.7(C2xM4(2))192,390
C6.8(C2×M4(2)) = C12⋊M4(2)φ: C2×M4(2)/C2×C8C2 ⊆ Aut C696C6.8(C2xM4(2))192,396
C6.9(C2×M4(2)) = C122M4(2)φ: C2×M4(2)/C2×C8C2 ⊆ Aut C696C6.9(C2xM4(2))192,397
C6.10(C2×M4(2)) = C2×Dic3⋊C8φ: C2×M4(2)/C2×C8C2 ⊆ Aut C6192C6.10(C2xM4(2))192,658
C6.11(C2×M4(2)) = C2×C24⋊C4φ: C2×M4(2)/C2×C8C2 ⊆ Aut C6192C6.11(C2xM4(2))192,659
C6.12(C2×M4(2)) = C2×D6⋊C8φ: C2×M4(2)/C2×C8C2 ⊆ Aut C696C6.12(C2xM4(2))192,667
C6.13(C2×M4(2)) = C2433D4φ: C2×M4(2)/C2×C8C2 ⊆ Aut C696C6.13(C2xM4(2))192,670
C6.14(C2×M4(2)) = C24⋊Q8φ: C2×M4(2)/M4(2)C2 ⊆ Aut C6192C6.14(C2xM4(2))192,260
C6.15(C2×M4(2)) = S3×C8⋊C4φ: C2×M4(2)/M4(2)C2 ⊆ Aut C696C6.15(C2xM4(2))192,263
C6.16(C2×M4(2)) = C42.182D6φ: C2×M4(2)/M4(2)C2 ⊆ Aut C696C6.16(C2xM4(2))192,264
C6.17(C2×M4(2)) = C89D12φ: C2×M4(2)/M4(2)C2 ⊆ Aut C696C6.17(C2xM4(2))192,265
C6.18(C2×M4(2)) = Dic35M4(2)φ: C2×M4(2)/M4(2)C2 ⊆ Aut C696C6.18(C2xM4(2))192,266
C6.19(C2×M4(2)) = Dic3.5M4(2)φ: C2×M4(2)/M4(2)C2 ⊆ Aut C696C6.19(C2xM4(2))192,277
C6.20(C2×M4(2)) = Dic3.M4(2)φ: C2×M4(2)/M4(2)C2 ⊆ Aut C696C6.20(C2xM4(2))192,278
C6.21(C2×M4(2)) = S3×C22⋊C8φ: C2×M4(2)/M4(2)C2 ⊆ Aut C648C6.21(C2xM4(2))192,283
C6.22(C2×M4(2)) = D62M4(2)φ: C2×M4(2)/M4(2)C2 ⊆ Aut C696C6.22(C2xM4(2))192,287
C6.23(C2×M4(2)) = Dic3⋊M4(2)φ: C2×M4(2)/M4(2)C2 ⊆ Aut C696C6.23(C2xM4(2))192,288
C6.24(C2×M4(2)) = C42.27D6φ: C2×M4(2)/M4(2)C2 ⊆ Aut C6192C6.24(C2xM4(2))192,387
C6.25(C2×M4(2)) = S3×C4⋊C8φ: C2×M4(2)/M4(2)C2 ⊆ Aut C696C6.25(C2xM4(2))192,391
C6.26(C2×M4(2)) = C42.200D6φ: C2×M4(2)/M4(2)C2 ⊆ Aut C696C6.26(C2xM4(2))192,392
C6.27(C2×M4(2)) = C42.202D6φ: C2×M4(2)/M4(2)C2 ⊆ Aut C696C6.27(C2xM4(2))192,394
C6.28(C2×M4(2)) = D63M4(2)φ: C2×M4(2)/M4(2)C2 ⊆ Aut C696C6.28(C2xM4(2))192,395
C6.29(C2×M4(2)) = Dic3×M4(2)φ: C2×M4(2)/M4(2)C2 ⊆ Aut C696C6.29(C2xM4(2))192,676
C6.30(C2×M4(2)) = Dic34M4(2)φ: C2×M4(2)/M4(2)C2 ⊆ Aut C696C6.30(C2xM4(2))192,677
C6.31(C2×M4(2)) = D66M4(2)φ: C2×M4(2)/M4(2)C2 ⊆ Aut C648C6.31(C2xM4(2))192,685
C6.32(C2×M4(2)) = C24⋊D4φ: C2×M4(2)/M4(2)C2 ⊆ Aut C696C6.32(C2xM4(2))192,686
C6.33(C2×M4(2)) = C2421D4φ: C2×M4(2)/M4(2)C2 ⊆ Aut C696C6.33(C2xM4(2))192,687
C6.34(C2×M4(2)) = C2×C42.S3φ: C2×M4(2)/C22×C4C2 ⊆ Aut C6192C6.34(C2xM4(2))192,480
C6.35(C2×M4(2)) = C4×C4.Dic3φ: C2×M4(2)/C22×C4C2 ⊆ Aut C696C6.35(C2xM4(2))192,481
C6.36(C2×M4(2)) = C2×C12⋊C8φ: C2×M4(2)/C22×C4C2 ⊆ Aut C6192C6.36(C2xM4(2))192,482
C6.37(C2×M4(2)) = C127M4(2)φ: C2×M4(2)/C22×C4C2 ⊆ Aut C696C6.37(C2xM4(2))192,483
C6.38(C2×M4(2)) = C42.285D6φ: C2×M4(2)/C22×C4C2 ⊆ Aut C696C6.38(C2xM4(2))192,484
C6.39(C2×M4(2)) = C42.270D6φ: C2×M4(2)/C22×C4C2 ⊆ Aut C696C6.39(C2xM4(2))192,485
C6.40(C2×M4(2)) = C42.47D6φ: C2×M4(2)/C22×C4C2 ⊆ Aut C696C6.40(C2xM4(2))192,570
C6.41(C2×M4(2)) = C123M4(2)φ: C2×M4(2)/C22×C4C2 ⊆ Aut C696C6.41(C2xM4(2))192,571
C6.42(C2×M4(2)) = C42.210D6φ: C2×M4(2)/C22×C4C2 ⊆ Aut C6192C6.42(C2xM4(2))192,583
C6.43(C2×M4(2)) = C2×C12.55D4φ: C2×M4(2)/C22×C4C2 ⊆ Aut C696C6.43(C2xM4(2))192,765
C6.44(C2×M4(2)) = C24.6Dic3φ: C2×M4(2)/C22×C4C2 ⊆ Aut C648C6.44(C2xM4(2))192,766
C6.45(C2×M4(2)) = C6×C8⋊C4central extension (φ=1)192C6.45(C2xM4(2))192,836
C6.46(C2×M4(2)) = C12×M4(2)central extension (φ=1)96C6.46(C2xM4(2))192,837
C6.47(C2×M4(2)) = C6×C22⋊C8central extension (φ=1)96C6.47(C2xM4(2))192,839
C6.48(C2×M4(2)) = C3×C24.4C4central extension (φ=1)48C6.48(C2xM4(2))192,840
C6.49(C2×M4(2)) = C6×C4⋊C8central extension (φ=1)192C6.49(C2xM4(2))192,855
C6.50(C2×M4(2)) = C3×C4⋊M4(2)central extension (φ=1)96C6.50(C2xM4(2))192,856
C6.51(C2×M4(2)) = C3×C42.12C4central extension (φ=1)96C6.51(C2xM4(2))192,864
C6.52(C2×M4(2)) = C3×C42.6C4central extension (φ=1)96C6.52(C2xM4(2))192,865
C6.53(C2×M4(2)) = C3×C89D4central extension (φ=1)96C6.53(C2xM4(2))192,868
C6.54(C2×M4(2)) = C3×C86D4central extension (φ=1)96C6.54(C2xM4(2))192,869
C6.55(C2×M4(2)) = C3×C84Q8central extension (φ=1)192C6.55(C2xM4(2))192,879

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