# Extensions 1→N→G→Q→1 with N=C6 and Q=C2×C42

Direct product G=N×Q with N=C6 and Q=C2×C42
dρLabelID
C22×C4×C12192C2^2xC4xC12192,1400

Semidirect products G=N:Q with N=C6 and Q=C2×C42
extensionφ:Q→Aut NdρLabelID
C61(C2×C42) = S3×C2×C42φ: C2×C42/C42C2 ⊆ Aut C696C6:1(C2xC4^2)192,1030
C62(C2×C42) = Dic3×C22×C4φ: C2×C42/C22×C4C2 ⊆ Aut C6192C6:2(C2xC4^2)192,1341

Non-split extensions G=N.Q with N=C6 and Q=C2×C42
extensionφ:Q→Aut NdρLabelID
C6.1(C2×C42) = Dic3.5C42φ: C2×C42/C42C2 ⊆ Aut C6192C6.1(C2xC4^2)192,207
C6.2(C2×C42) = Dic3⋊C42φ: C2×C42/C42C2 ⊆ Aut C6192C6.2(C2xC4^2)192,208
C6.3(C2×C42) = S3×C2.C42φ: C2×C42/C42C2 ⊆ Aut C696C6.3(C2xC4^2)192,222
C6.4(C2×C42) = D6⋊C42φ: C2×C42/C42C2 ⊆ Aut C696C6.4(C2xC4^2)192,225
C6.5(C2×C42) = S3×C4×C8φ: C2×C42/C42C2 ⊆ Aut C696C6.5(C2xC4^2)192,243
C6.6(C2×C42) = C4×C8⋊S3φ: C2×C42/C42C2 ⊆ Aut C696C6.6(C2xC4^2)192,246
C6.7(C2×C42) = D6.C42φ: C2×C42/C42C2 ⊆ Aut C696C6.7(C2xC4^2)192,248
C6.8(C2×C42) = S3×C8⋊C4φ: C2×C42/C42C2 ⊆ Aut C696C6.8(C2xC4^2)192,263
C6.9(C2×C42) = Dic35M4(2)φ: C2×C42/C42C2 ⊆ Aut C696C6.9(C2xC4^2)192,266
C6.10(C2×C42) = D6.4C42φ: C2×C42/C42C2 ⊆ Aut C696C6.10(C2xC4^2)192,267
C6.11(C2×C42) = C4×Dic3⋊C4φ: C2×C42/C42C2 ⊆ Aut C6192C6.11(C2xC4^2)192,490
C6.12(C2×C42) = C4×D6⋊C4φ: C2×C42/C42C2 ⊆ Aut C696C6.12(C2xC4^2)192,497
C6.13(C2×C42) = C2×C4×C3⋊C8φ: C2×C42/C22×C4C2 ⊆ Aut C6192C6.13(C2xC4^2)192,479
C6.14(C2×C42) = C2×C42.S3φ: C2×C42/C22×C4C2 ⊆ Aut C6192C6.14(C2xC4^2)192,480
C6.15(C2×C42) = C4×C4.Dic3φ: C2×C42/C22×C4C2 ⊆ Aut C696C6.15(C2xC4^2)192,481
C6.16(C2×C42) = Dic3×C42φ: C2×C42/C22×C4C2 ⊆ Aut C6192C6.16(C2xC4^2)192,489
C6.17(C2×C42) = C426Dic3φ: C2×C42/C22×C4C2 ⊆ Aut C6192C6.17(C2xC4^2)192,491
C6.18(C2×C42) = C4×C4⋊Dic3φ: C2×C42/C22×C4C2 ⊆ Aut C6192C6.18(C2xC4^2)192,493
C6.19(C2×C42) = Dic3×C22⋊C4φ: C2×C42/C22×C4C2 ⊆ Aut C696C6.19(C2xC4^2)192,500
C6.20(C2×C42) = Dic3×C4⋊C4φ: C2×C42/C22×C4C2 ⊆ Aut C6192C6.20(C2xC4^2)192,533
C6.21(C2×C42) = C12.5C42φ: C2×C42/C22×C4C2 ⊆ Aut C696C6.21(C2xC4^2)192,556
C6.22(C2×C42) = Dic3×C2×C8φ: C2×C42/C22×C4C2 ⊆ Aut C6192C6.22(C2xC4^2)192,657
C6.23(C2×C42) = C2×C24⋊C4φ: C2×C42/C22×C4C2 ⊆ Aut C6192C6.23(C2xC4^2)192,659
C6.24(C2×C42) = C12.12C42φ: C2×C42/C22×C4C2 ⊆ Aut C696C6.24(C2xC4^2)192,660
C6.25(C2×C42) = Dic3×M4(2)φ: C2×C42/C22×C4C2 ⊆ Aut C696C6.25(C2xC4^2)192,676
C6.26(C2×C42) = C12.7C42φ: C2×C42/C22×C4C2 ⊆ Aut C696C6.26(C2xC4^2)192,681
C6.27(C2×C42) = C2×C6.C42φ: C2×C42/C22×C4C2 ⊆ Aut C6192C6.27(C2xC4^2)192,767
C6.28(C2×C42) = C4×C6.D4φ: C2×C42/C22×C4C2 ⊆ Aut C696C6.28(C2xC4^2)192,768
C6.29(C2×C42) = C6×C2.C42central extension (φ=1)192C6.29(C2xC4^2)192,808
C6.30(C2×C42) = C3×C424C4central extension (φ=1)192C6.30(C2xC4^2)192,809
C6.31(C2×C42) = C12×C22⋊C4central extension (φ=1)96C6.31(C2xC4^2)192,810
C6.32(C2×C42) = C12×C4⋊C4central extension (φ=1)192C6.32(C2xC4^2)192,811
C6.33(C2×C42) = C6×C8⋊C4central extension (φ=1)192C6.33(C2xC4^2)192,836
C6.34(C2×C42) = C12×M4(2)central extension (φ=1)96C6.34(C2xC4^2)192,837
C6.35(C2×C42) = C3×C82M4(2)central extension (φ=1)96C6.35(C2xC4^2)192,838

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