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

Direct product G=N×Q with N=C22 and Q=C3⋊D4
dρLabelID
C22×C3⋊D448C2^2xC3:D496,219

Semidirect products G=N:Q with N=C22 and Q=C3⋊D4
extensionφ:Q→Aut NdρLabelID
C22⋊(C3⋊D4) = A4⋊D4φ: C3⋊D4/C22 → S3 ⊆ Aut C22126+C2^2:(C3:D4)96,195
C22⋊2(C3⋊D4) = C23.14D6φ: C3⋊D4/Dic3 → C2 ⊆ Aut C2248C2^2:2(C3:D4)96,146
C22⋊3(C3⋊D4) = C23⋊2D6φ: C3⋊D4/D6 → C2 ⊆ Aut C2224C2^2:3(C3:D4)96,144
C22⋊4(C3⋊D4) = C24⋊4S3φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C2224C2^2:4(C3:D4)96,160

Non-split extensions G=N.Q with N=C22 and Q=C3⋊D4
extensionφ:Q→Aut NdρLabelID
C22.1(C3⋊D4) = Q8.13D6φ: C3⋊D4/Dic3 → C2 ⊆ Aut C22484C2^2.1(C3:D4)96,157
C22.2(C3⋊D4) = C23.7D6φ: C3⋊D4/D6 → C2 ⊆ Aut C22244C2^2.2(C3:D4)96,41
C22.3(C3⋊D4) = Q8⋊3Dic3φ: C3⋊D4/D6 → C2 ⊆ Aut C22244C2^2.3(C3:D4)96,44
C22.4(C3⋊D4) = C23.23D6φ: C3⋊D4/D6 → C2 ⊆ Aut C2248C2^2.4(C3:D4)96,142
C22.5(C3⋊D4) = D4⋊D6φ: C3⋊D4/D6 → C2 ⊆ Aut C22244+C2^2.5(C3:D4)96,156
C22.6(C3⋊D4) = Q8.14D6φ: C3⋊D4/D6 → C2 ⊆ Aut C22484-C2^2.6(C3:D4)96,158
C22.7(C3⋊D4) = C42⋊4S3φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C22242C2^2.7(C3:D4)96,12
C22.8(C3⋊D4) = C23.6D6φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C22244C2^2.8(C3:D4)96,13
C22.9(C3⋊D4) = C23.28D6φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C2248C2^2.9(C3:D4)96,136
C22.10(C3⋊D4) = D12⋊6C22φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C22244C2^2.10(C3:D4)96,139
C22.11(C3⋊D4) = Q8.11D6φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C22484C2^2.11(C3:D4)96,149
C22.12(C3⋊D4) = C6.Q16central extension (φ=1)96C2^2.12(C3:D4)96,14
C22.13(C3⋊D4) = C12.Q8central extension (φ=1)96C2^2.13(C3:D4)96,15
C22.14(C3⋊D4) = C6.D8central extension (φ=1)48C2^2.14(C3:D4)96,16
C22.15(C3⋊D4) = C6.SD16central extension (φ=1)96C2^2.15(C3:D4)96,17
C22.16(C3⋊D4) = C6.C42central extension (φ=1)96C2^2.16(C3:D4)96,38
C22.17(C3⋊D4) = D4⋊Dic3central extension (φ=1)48C2^2.17(C3:D4)96,39
C22.18(C3⋊D4) = Q8⋊2Dic3central extension (φ=1)96C2^2.18(C3:D4)96,42
C22.19(C3⋊D4) = C2×Dic3⋊C4central extension (φ=1)96C2^2.19(C3:D4)96,130
C22.20(C3⋊D4) = C2×D6⋊C4central extension (φ=1)48C2^2.20(C3:D4)96,134
C22.21(C3⋊D4) = C2×D4⋊S3central extension (φ=1)48C2^2.21(C3:D4)96,138
C22.22(C3⋊D4) = C2×D4.S3central extension (φ=1)48C2^2.22(C3:D4)96,140
C22.23(C3⋊D4) = C2×Q8⋊2S3central extension (φ=1)48C2^2.23(C3:D4)96,148
C22.24(C3⋊D4) = C2×C3⋊Q16central extension (φ=1)96C2^2.24(C3:D4)96,150
C22.25(C3⋊D4) = C2×C6.D4central extension (φ=1)48C2^2.25(C3:D4)96,159

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