# Extensions 1→N→G→Q→1 with N=C6 and Q=C3×C22⋊C4

Direct product G=N×Q with N=C6 and Q=C3×C22⋊C4
dρLabelID
C22⋊C4×C3×C6144C2^2:C4xC3xC6288,812

Semidirect products G=N:Q with N=C6 and Q=C3×C22⋊C4
extensionφ:Q→Aut NdρLabelID
C61(C3×C22⋊C4) = C6×D6⋊C4φ: C3×C22⋊C4/C2×C12C2 ⊆ Aut C696C6:1(C3xC2^2:C4)288,698
C62(C3×C22⋊C4) = C6×C6.D4φ: C3×C22⋊C4/C22×C6C2 ⊆ Aut C648C6:2(C3xC2^2:C4)288,723

Non-split extensions G=N.Q with N=C6 and Q=C3×C22⋊C4
extensionφ:Q→Aut NdρLabelID
C6.1(C3×C22⋊C4) = C3×C424S3φ: C3×C22⋊C4/C2×C12C2 ⊆ Aut C6242C6.1(C3xC2^2:C4)288,239
C6.2(C3×C22⋊C4) = C3×C23.6D6φ: C3×C22⋊C4/C2×C12C2 ⊆ Aut C6244C6.2(C3xC2^2:C4)288,240
C6.3(C3×C22⋊C4) = C3×C6.D8φ: C3×C22⋊C4/C2×C12C2 ⊆ Aut C696C6.3(C3xC2^2:C4)288,243
C6.4(C3×C22⋊C4) = C3×C6.SD16φ: C3×C22⋊C4/C2×C12C2 ⊆ Aut C696C6.4(C3xC2^2:C4)288,244
C6.5(C3×C22⋊C4) = C3×C2.Dic12φ: C3×C22⋊C4/C2×C12C2 ⊆ Aut C696C6.5(C3xC2^2:C4)288,250
C6.6(C3×C22⋊C4) = C3×D6⋊C8φ: C3×C22⋊C4/C2×C12C2 ⊆ Aut C696C6.6(C3xC2^2:C4)288,254
C6.7(C3×C22⋊C4) = C3×C2.D24φ: C3×C22⋊C4/C2×C12C2 ⊆ Aut C696C6.7(C3xC2^2:C4)288,255
C6.8(C3×C22⋊C4) = C3×C12.46D4φ: C3×C22⋊C4/C2×C12C2 ⊆ Aut C6484C6.8(C3xC2^2:C4)288,257
C6.9(C3×C22⋊C4) = C3×C12.47D4φ: C3×C22⋊C4/C2×C12C2 ⊆ Aut C6484C6.9(C3xC2^2:C4)288,258
C6.10(C3×C22⋊C4) = C3×D12⋊C4φ: C3×C22⋊C4/C2×C12C2 ⊆ Aut C6484C6.10(C3xC2^2:C4)288,259
C6.11(C3×C22⋊C4) = C3×C6.C42φ: C3×C22⋊C4/C2×C12C2 ⊆ Aut C696C6.11(C3xC2^2:C4)288,265
C6.12(C3×C22⋊C4) = C3×C12.55D4φ: C3×C22⋊C4/C22×C6C2 ⊆ Aut C648C6.12(C3xC2^2:C4)288,264
C6.13(C3×C22⋊C4) = C3×D4⋊Dic3φ: C3×C22⋊C4/C22×C6C2 ⊆ Aut C648C6.13(C3xC2^2:C4)288,266
C6.14(C3×C22⋊C4) = C3×C12.D4φ: C3×C22⋊C4/C22×C6C2 ⊆ Aut C6244C6.14(C3xC2^2:C4)288,267
C6.15(C3×C22⋊C4) = C3×C23.7D6φ: C3×C22⋊C4/C22×C6C2 ⊆ Aut C6244C6.15(C3xC2^2:C4)288,268
C6.16(C3×C22⋊C4) = C3×Q82Dic3φ: C3×C22⋊C4/C22×C6C2 ⊆ Aut C696C6.16(C3xC2^2:C4)288,269
C6.17(C3×C22⋊C4) = C3×C12.10D4φ: C3×C22⋊C4/C22×C6C2 ⊆ Aut C6484C6.17(C3xC2^2:C4)288,270
C6.18(C3×C22⋊C4) = C3×Q83Dic3φ: C3×C22⋊C4/C22×C6C2 ⊆ Aut C6484C6.18(C3xC2^2:C4)288,271
C6.19(C3×C22⋊C4) = C9×C2.C42central extension (φ=1)288C6.19(C3xC2^2:C4)288,45
C6.20(C3×C22⋊C4) = C9×C22⋊C8central extension (φ=1)144C6.20(C3xC2^2:C4)288,48
C6.21(C3×C22⋊C4) = C9×C23⋊C4central extension (φ=1)724C6.21(C3xC2^2:C4)288,49
C6.22(C3×C22⋊C4) = C9×C4.D4central extension (φ=1)724C6.22(C3xC2^2:C4)288,50
C6.23(C3×C22⋊C4) = C9×C4.10D4central extension (φ=1)1444C6.23(C3xC2^2:C4)288,51
C6.24(C3×C22⋊C4) = C9×D4⋊C4central extension (φ=1)144C6.24(C3xC2^2:C4)288,52
C6.25(C3×C22⋊C4) = C9×Q8⋊C4central extension (φ=1)288C6.25(C3xC2^2:C4)288,53
C6.26(C3×C22⋊C4) = C9×C4≀C2central extension (φ=1)722C6.26(C3xC2^2:C4)288,54
C6.27(C3×C22⋊C4) = C22⋊C4×C18central extension (φ=1)144C6.27(C3xC2^2:C4)288,165
C6.28(C3×C22⋊C4) = C32×C2.C42central extension (φ=1)288C6.28(C3xC2^2:C4)288,313
C6.29(C3×C22⋊C4) = C32×C22⋊C8central extension (φ=1)144C6.29(C3xC2^2:C4)288,316
C6.30(C3×C22⋊C4) = C32×C23⋊C4central extension (φ=1)72C6.30(C3xC2^2:C4)288,317
C6.31(C3×C22⋊C4) = C32×C4.D4central extension (φ=1)72C6.31(C3xC2^2:C4)288,318
C6.32(C3×C22⋊C4) = C32×C4.10D4central extension (φ=1)144C6.32(C3xC2^2:C4)288,319
C6.33(C3×C22⋊C4) = C32×D4⋊C4central extension (φ=1)144C6.33(C3xC2^2:C4)288,320
C6.34(C3×C22⋊C4) = C32×Q8⋊C4central extension (φ=1)288C6.34(C3xC2^2:C4)288,321
C6.35(C3×C22⋊C4) = C32×C4≀C2central extension (φ=1)72C6.35(C3xC2^2:C4)288,322

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