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Extensions 1→N→G→Q→1 with N=C22 and Q=C3×C3⋊D4

Direct product G=N×Q with N=C22 and Q=C3×C3⋊D4
dρLabelID
C2×C6×C3⋊D448C2xC6xC3:D4288,1002

Semidirect products G=N:Q with N=C22 and Q=C3×C3⋊D4
extensionφ:Q→Aut NdρLabelID
C22⋊(C3×C3⋊D4) = C3×A4⋊D4φ: C3×C3⋊D4/C2×C6 → S3 ⊆ Aut C22366C2^2:(C3xC3:D4)288,906
C22⋊2(C3×C3⋊D4) = A4×C3⋊D4φ: C3×C3⋊D4/C3⋊D4 → C3 ⊆ Aut C22366C2^2:2(C3xC3:D4)288,928
C22⋊3(C3×C3⋊D4) = C3×C23.14D6φ: C3×C3⋊D4/C3×Dic3 → C2 ⊆ Aut C2248C2^2:3(C3xC3:D4)288,710
C22⋊4(C3×C3⋊D4) = C3×C23⋊2D6φ: C3×C3⋊D4/S3×C6 → C2 ⊆ Aut C2248C2^2:4(C3xC3:D4)288,708
C22⋊5(C3×C3⋊D4) = C3×C24⋊4S3φ: C3×C3⋊D4/C62 → C2 ⊆ Aut C2224C2^2:5(C3xC3:D4)288,724

Non-split extensions G=N.Q with N=C22 and Q=C3×C3⋊D4
extensionφ:Q→Aut NdρLabelID
C22.1(C3×C3⋊D4) = C3×Q8.13D6φ: C3×C3⋊D4/C3×Dic3 → C2 ⊆ Aut C22484C2^2.1(C3xC3:D4)288,721
C22.2(C3×C3⋊D4) = C3×C23.7D6φ: C3×C3⋊D4/S3×C6 → C2 ⊆ Aut C22244C2^2.2(C3xC3:D4)288,268
C22.3(C3×C3⋊D4) = C3×Q8⋊3Dic3φ: C3×C3⋊D4/S3×C6 → C2 ⊆ Aut C22484C2^2.3(C3xC3:D4)288,271
C22.4(C3×C3⋊D4) = C3×C23.23D6φ: C3×C3⋊D4/S3×C6 → C2 ⊆ Aut C2248C2^2.4(C3xC3:D4)288,706
C22.5(C3×C3⋊D4) = C3×D4⋊D6φ: C3×C3⋊D4/S3×C6 → C2 ⊆ Aut C22484C2^2.5(C3xC3:D4)288,720
C22.6(C3×C3⋊D4) = C3×Q8.14D6φ: C3×C3⋊D4/S3×C6 → C2 ⊆ Aut C22484C2^2.6(C3xC3:D4)288,722
C22.7(C3×C3⋊D4) = C3×C42⋊4S3φ: C3×C3⋊D4/C62 → C2 ⊆ Aut C22242C2^2.7(C3xC3:D4)288,239
C22.8(C3×C3⋊D4) = C3×C23.6D6φ: C3×C3⋊D4/C62 → C2 ⊆ Aut C22244C2^2.8(C3xC3:D4)288,240
C22.9(C3×C3⋊D4) = C3×C23.28D6φ: C3×C3⋊D4/C62 → C2 ⊆ Aut C2248C2^2.9(C3xC3:D4)288,700
C22.10(C3×C3⋊D4) = C3×D12⋊6C22φ: C3×C3⋊D4/C62 → C2 ⊆ Aut C22244C2^2.10(C3xC3:D4)288,703
C22.11(C3×C3⋊D4) = C3×Q8.11D6φ: C3×C3⋊D4/C62 → C2 ⊆ Aut C22484C2^2.11(C3xC3:D4)288,713
C22.12(C3×C3⋊D4) = C3×C6.Q16central extension (φ=1)96C2^2.12(C3xC3:D4)288,241
C22.13(C3×C3⋊D4) = C3×C12.Q8central extension (φ=1)96C2^2.13(C3xC3:D4)288,242
C22.14(C3×C3⋊D4) = C3×C6.D8central extension (φ=1)96C2^2.14(C3xC3:D4)288,243
C22.15(C3×C3⋊D4) = C3×C6.SD16central extension (φ=1)96C2^2.15(C3xC3:D4)288,244
C22.16(C3×C3⋊D4) = C3×C6.C42central extension (φ=1)96C2^2.16(C3xC3:D4)288,265
C22.17(C3×C3⋊D4) = C3×D4⋊Dic3central extension (φ=1)48C2^2.17(C3xC3:D4)288,266
C22.18(C3×C3⋊D4) = C3×Q8⋊2Dic3central extension (φ=1)96C2^2.18(C3xC3:D4)288,269
C22.19(C3×C3⋊D4) = C6×Dic3⋊C4central extension (φ=1)96C2^2.19(C3xC3:D4)288,694
C22.20(C3×C3⋊D4) = C6×D6⋊C4central extension (φ=1)96C2^2.20(C3xC3:D4)288,698
C22.21(C3×C3⋊D4) = C6×D4⋊S3central extension (φ=1)48C2^2.21(C3xC3:D4)288,702
C22.22(C3×C3⋊D4) = C6×D4.S3central extension (φ=1)48C2^2.22(C3xC3:D4)288,704
C22.23(C3×C3⋊D4) = C6×Q8⋊2S3central extension (φ=1)96C2^2.23(C3xC3:D4)288,712
C22.24(C3×C3⋊D4) = C6×C3⋊Q16central extension (φ=1)96C2^2.24(C3xC3:D4)288,714
C22.25(C3×C3⋊D4) = C6×C6.D4central extension (φ=1)48C2^2.25(C3xC3:D4)288,723

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