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

Direct product G=N×Q with N=C22 and Q=C3×C22⋊C4
dρLabelID
C2×C6×C22⋊C496C2xC6xC2^2:C4192,1401

Semidirect products G=N:Q with N=C22 and Q=C3×C22⋊C4
extensionφ:Q→Aut NdρLabelID
C22⋊(C3×C22⋊C4) = A4×C22⋊C4φ: C3×C22⋊C4/C22⋊C4 → C3 ⊆ Aut C2224C2^2:(C3xC2^2:C4)192,994
C22⋊2(C3×C22⋊C4) = C3×C23.23D4φ: C3×C22⋊C4/C2×C12 → C2 ⊆ Aut C2296C2^2:2(C3xC2^2:C4)192,819
C22⋊3(C3×C22⋊C4) = C3×C24⋊3C4φ: C3×C22⋊C4/C22×C6 → C2 ⊆ Aut C2248C2^2:3(C3xC2^2:C4)192,812

Non-split extensions G=N.Q with N=C22 and Q=C3×C22⋊C4
extensionφ:Q→Aut NdρLabelID
C22.1(C3×C22⋊C4) = C3×(C22×C8)⋊C2φ: C3×C22⋊C4/C2×C12 → C2 ⊆ Aut C2296C2^2.1(C3xC2^2:C4)192,841
C22.2(C3×C22⋊C4) = C6×C23⋊C4φ: C3×C22⋊C4/C2×C12 → C2 ⊆ Aut C2248C2^2.2(C3xC2^2:C4)192,842
C22.3(C3×C22⋊C4) = C3×M4(2).8C22φ: C3×C22⋊C4/C2×C12 → C2 ⊆ Aut C22484C2^2.3(C3xC2^2:C4)192,846
C22.4(C3×C22⋊C4) = C3×C23.24D4φ: C3×C22⋊C4/C2×C12 → C2 ⊆ Aut C2296C2^2.4(C3xC2^2:C4)192,849
C22.5(C3×C22⋊C4) = C3×C23.36D4φ: C3×C22⋊C4/C2×C12 → C2 ⊆ Aut C2296C2^2.5(C3xC2^2:C4)192,850
C22.6(C3×C22⋊C4) = C6×C4≀C2φ: C3×C22⋊C4/C2×C12 → C2 ⊆ Aut C2248C2^2.6(C3xC2^2:C4)192,853
C22.7(C3×C22⋊C4) = C3×C4.9C42φ: C3×C22⋊C4/C22×C6 → C2 ⊆ Aut C22484C2^2.7(C3xC2^2:C4)192,143
C22.8(C3×C22⋊C4) = C3×C23.9D4φ: C3×C22⋊C4/C22×C6 → C2 ⊆ Aut C2248C2^2.8(C3xC2^2:C4)192,148
C22.9(C3×C22⋊C4) = C3×M4(2)⋊4C4φ: C3×C22⋊C4/C22×C6 → C2 ⊆ Aut C22484C2^2.9(C3xC2^2:C4)192,150
C22.10(C3×C22⋊C4) = C3×C2≀C4φ: C3×C22⋊C4/C22×C6 → C2 ⊆ Aut C22244C2^2.10(C3xC2^2:C4)192,157
C22.11(C3×C22⋊C4) = C3×C23.D4φ: C3×C22⋊C4/C22×C6 → C2 ⊆ Aut C22484C2^2.11(C3xC2^2:C4)192,158
C22.12(C3×C22⋊C4) = C3×C42⋊C4φ: C3×C22⋊C4/C22×C6 → C2 ⊆ Aut C22244C2^2.12(C3xC2^2:C4)192,159
C22.13(C3×C22⋊C4) = C3×C42⋊3C4φ: C3×C22⋊C4/C22×C6 → C2 ⊆ Aut C22484C2^2.13(C3xC2^2:C4)192,160
C22.14(C3×C22⋊C4) = C3×C42.C4φ: C3×C22⋊C4/C22×C6 → C2 ⊆ Aut C22484C2^2.14(C3xC2^2:C4)192,161
C22.15(C3×C22⋊C4) = C3×C42.3C4φ: C3×C22⋊C4/C22×C6 → C2 ⊆ Aut C22484C2^2.15(C3xC2^2:C4)192,162
C22.16(C3×C22⋊C4) = C3×C23.34D4φ: C3×C22⋊C4/C22×C6 → C2 ⊆ Aut C2296C2^2.16(C3xC2^2:C4)192,814
C22.17(C3×C22⋊C4) = C3×C24.4C4φ: C3×C22⋊C4/C22×C6 → C2 ⊆ Aut C2248C2^2.17(C3xC2^2:C4)192,840
C22.18(C3×C22⋊C4) = C6×C4.D4φ: C3×C22⋊C4/C22×C6 → C2 ⊆ Aut C2248C2^2.18(C3xC2^2:C4)192,844
C22.19(C3×C22⋊C4) = C6×C4.10D4φ: C3×C22⋊C4/C22×C6 → C2 ⊆ Aut C2296C2^2.19(C3xC2^2:C4)192,845
C22.20(C3×C22⋊C4) = C3×C23.37D4φ: C3×C22⋊C4/C22×C6 → C2 ⊆ Aut C2248C2^2.20(C3xC2^2:C4)192,851
C22.21(C3×C22⋊C4) = C3×C23.38D4φ: C3×C22⋊C4/C22×C6 → C2 ⊆ Aut C2296C2^2.21(C3xC2^2:C4)192,852
C22.22(C3×C22⋊C4) = C3×C42⋊C22φ: C3×C22⋊C4/C22×C6 → C2 ⊆ Aut C22484C2^2.22(C3xC2^2:C4)192,854
C22.23(C3×C22⋊C4) = C3×C23⋊C8central extension (φ=1)48C2^2.23(C3xC2^2:C4)192,129
C22.24(C3×C22⋊C4) = C3×C22.M4(2)central extension (φ=1)96C2^2.24(C3xC2^2:C4)192,130
C22.25(C3×C22⋊C4) = C3×D4⋊C8central extension (φ=1)96C2^2.25(C3xC2^2:C4)192,131
C22.26(C3×C22⋊C4) = C3×Q8⋊C8central extension (φ=1)192C2^2.26(C3xC2^2:C4)192,132
C22.27(C3×C22⋊C4) = C3×C22.7C42central extension (φ=1)192C2^2.27(C3xC2^2:C4)192,142
C22.28(C3×C22⋊C4) = C3×C42⋊6C4central extension (φ=1)48C2^2.28(C3xC2^2:C4)192,145
C22.29(C3×C22⋊C4) = C3×C22.4Q16central extension (φ=1)192C2^2.29(C3xC2^2:C4)192,146
C22.30(C3×C22⋊C4) = C3×C22.C42central extension (φ=1)96C2^2.30(C3xC2^2:C4)192,149
C22.31(C3×C22⋊C4) = C6×C2.C42central extension (φ=1)192C2^2.31(C3xC2^2:C4)192,808
C22.32(C3×C22⋊C4) = C6×C22⋊C8central extension (φ=1)96C2^2.32(C3xC2^2:C4)192,839
C22.33(C3×C22⋊C4) = C6×D4⋊C4central extension (φ=1)96C2^2.33(C3xC2^2:C4)192,847
C22.34(C3×C22⋊C4) = C6×Q8⋊C4central extension (φ=1)192C2^2.34(C3xC2^2:C4)192,848
C22.35(C3×C22⋊C4) = C3×C22.SD16central stem extension (φ=1)48C2^2.35(C3xC2^2:C4)192,133
C22.36(C3×C22⋊C4) = C3×C23.31D4central stem extension (φ=1)48C2^2.36(C3xC2^2:C4)192,134
C22.37(C3×C22⋊C4) = C3×C42.C22central stem extension (φ=1)96C2^2.37(C3xC2^2:C4)192,135
C22.38(C3×C22⋊C4) = C3×C42.2C22central stem extension (φ=1)192C2^2.38(C3xC2^2:C4)192,136
C22.39(C3×C22⋊C4) = C3×C4.D8central stem extension (φ=1)96C2^2.39(C3xC2^2:C4)192,137
C22.40(C3×C22⋊C4) = C3×C4.10D8central stem extension (φ=1)192C2^2.40(C3xC2^2:C4)192,138
C22.41(C3×C22⋊C4) = C3×C4.6Q16central stem extension (φ=1)192C2^2.41(C3xC2^2:C4)192,139

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