# Extensions 1→N→G→Q→1 with N=C22 and Q=C7×C22⋊C4

Direct product G=N×Q with N=C22 and Q=C7×C22⋊C4
dρLabelID
C22⋊C4×C2×C14224C2^2:C4xC2xC14448,1295

Semidirect products G=N:Q with N=C22 and Q=C7×C22⋊C4
extensionφ:Q→Aut NdρLabelID
C221(C7×C22⋊C4) = C7×C23.23D4φ: C7×C22⋊C4/C2×C28C2 ⊆ Aut C22224C2^2:1(C7xC2^2:C4)448,794
C222(C7×C22⋊C4) = C7×C243C4φ: C7×C22⋊C4/C22×C14C2 ⊆ Aut C22112C2^2:2(C7xC2^2:C4)448,787

Non-split extensions G=N.Q with N=C22 and Q=C7×C22⋊C4
extensionφ:Q→Aut NdρLabelID
C22.1(C7×C22⋊C4) = C7×(C22×C8)⋊C2φ: C7×C22⋊C4/C2×C28C2 ⊆ Aut C22224C2^2.1(C7xC2^2:C4)448,816
C22.2(C7×C22⋊C4) = C14×C23⋊C4φ: C7×C22⋊C4/C2×C28C2 ⊆ Aut C22112C2^2.2(C7xC2^2:C4)448,817
C22.3(C7×C22⋊C4) = C7×M4(2).8C22φ: C7×C22⋊C4/C2×C28C2 ⊆ Aut C221124C2^2.3(C7xC2^2:C4)448,821
C22.4(C7×C22⋊C4) = C7×C23.24D4φ: C7×C22⋊C4/C2×C28C2 ⊆ Aut C22224C2^2.4(C7xC2^2:C4)448,824
C22.5(C7×C22⋊C4) = C7×C23.36D4φ: C7×C22⋊C4/C2×C28C2 ⊆ Aut C22224C2^2.5(C7xC2^2:C4)448,825
C22.6(C7×C22⋊C4) = C14×C4≀C2φ: C7×C22⋊C4/C2×C28C2 ⊆ Aut C22112C2^2.6(C7xC2^2:C4)448,828
C22.7(C7×C22⋊C4) = C7×C4.9C42φ: C7×C22⋊C4/C22×C14C2 ⊆ Aut C221124C2^2.7(C7xC2^2:C4)448,141
C22.8(C7×C22⋊C4) = C7×C23.9D4φ: C7×C22⋊C4/C22×C14C2 ⊆ Aut C22112C2^2.8(C7xC2^2:C4)448,146
C22.9(C7×C22⋊C4) = C7×M4(2)⋊4C4φ: C7×C22⋊C4/C22×C14C2 ⊆ Aut C221124C2^2.9(C7xC2^2:C4)448,148
C22.10(C7×C22⋊C4) = C7×C2≀C4φ: C7×C22⋊C4/C22×C14C2 ⊆ Aut C22564C2^2.10(C7xC2^2:C4)448,155
C22.11(C7×C22⋊C4) = C7×C23.D4φ: C7×C22⋊C4/C22×C14C2 ⊆ Aut C221124C2^2.11(C7xC2^2:C4)448,156
C22.12(C7×C22⋊C4) = C7×C42⋊C4φ: C7×C22⋊C4/C22×C14C2 ⊆ Aut C22564C2^2.12(C7xC2^2:C4)448,157
C22.13(C7×C22⋊C4) = C7×C423C4φ: C7×C22⋊C4/C22×C14C2 ⊆ Aut C221124C2^2.13(C7xC2^2:C4)448,158
C22.14(C7×C22⋊C4) = C7×C42.C4φ: C7×C22⋊C4/C22×C14C2 ⊆ Aut C221124C2^2.14(C7xC2^2:C4)448,159
C22.15(C7×C22⋊C4) = C7×C42.3C4φ: C7×C22⋊C4/C22×C14C2 ⊆ Aut C221124C2^2.15(C7xC2^2:C4)448,160
C22.16(C7×C22⋊C4) = C7×C23.34D4φ: C7×C22⋊C4/C22×C14C2 ⊆ Aut C22224C2^2.16(C7xC2^2:C4)448,789
C22.17(C7×C22⋊C4) = C7×C24.4C4φ: C7×C22⋊C4/C22×C14C2 ⊆ Aut C22112C2^2.17(C7xC2^2:C4)448,815
C22.18(C7×C22⋊C4) = C14×C4.D4φ: C7×C22⋊C4/C22×C14C2 ⊆ Aut C22112C2^2.18(C7xC2^2:C4)448,819
C22.19(C7×C22⋊C4) = C14×C4.10D4φ: C7×C22⋊C4/C22×C14C2 ⊆ Aut C22224C2^2.19(C7xC2^2:C4)448,820
C22.20(C7×C22⋊C4) = C7×C23.37D4φ: C7×C22⋊C4/C22×C14C2 ⊆ Aut C22112C2^2.20(C7xC2^2:C4)448,826
C22.21(C7×C22⋊C4) = C7×C23.38D4φ: C7×C22⋊C4/C22×C14C2 ⊆ Aut C22224C2^2.21(C7xC2^2:C4)448,827
C22.22(C7×C22⋊C4) = C7×C42⋊C22φ: C7×C22⋊C4/C22×C14C2 ⊆ Aut C221124C2^2.22(C7xC2^2:C4)448,829
C22.23(C7×C22⋊C4) = C7×C23⋊C8central extension (φ=1)112C2^2.23(C7xC2^2:C4)448,127
C22.24(C7×C22⋊C4) = C7×C22.M4(2)central extension (φ=1)224C2^2.24(C7xC2^2:C4)448,128
C22.25(C7×C22⋊C4) = C7×D4⋊C8central extension (φ=1)224C2^2.25(C7xC2^2:C4)448,129
C22.26(C7×C22⋊C4) = C7×Q8⋊C8central extension (φ=1)448C2^2.26(C7xC2^2:C4)448,130
C22.27(C7×C22⋊C4) = C7×C22.7C42central extension (φ=1)448C2^2.27(C7xC2^2:C4)448,140
C22.28(C7×C22⋊C4) = C7×C426C4central extension (φ=1)112C2^2.28(C7xC2^2:C4)448,143
C22.29(C7×C22⋊C4) = C7×C22.4Q16central extension (φ=1)448C2^2.29(C7xC2^2:C4)448,144
C22.30(C7×C22⋊C4) = C7×C22.C42central extension (φ=1)224C2^2.30(C7xC2^2:C4)448,147
C22.31(C7×C22⋊C4) = C14×C2.C42central extension (φ=1)448C2^2.31(C7xC2^2:C4)448,783
C22.32(C7×C22⋊C4) = C14×C22⋊C8central extension (φ=1)224C2^2.32(C7xC2^2:C4)448,814
C22.33(C7×C22⋊C4) = C14×D4⋊C4central extension (φ=1)224C2^2.33(C7xC2^2:C4)448,822
C22.34(C7×C22⋊C4) = C14×Q8⋊C4central extension (φ=1)448C2^2.34(C7xC2^2:C4)448,823
C22.35(C7×C22⋊C4) = C7×C22.SD16central stem extension (φ=1)112C2^2.35(C7xC2^2:C4)448,131
C22.36(C7×C22⋊C4) = C7×C23.31D4central stem extension (φ=1)112C2^2.36(C7xC2^2:C4)448,132
C22.37(C7×C22⋊C4) = C7×C42.C22central stem extension (φ=1)224C2^2.37(C7xC2^2:C4)448,133
C22.38(C7×C22⋊C4) = C7×C42.2C22central stem extension (φ=1)448C2^2.38(C7xC2^2:C4)448,134
C22.39(C7×C22⋊C4) = C7×C4.D8central stem extension (φ=1)224C2^2.39(C7xC2^2:C4)448,135
C22.40(C7×C22⋊C4) = C7×C4.10D8central stem extension (φ=1)448C2^2.40(C7xC2^2:C4)448,136
C22.41(C7×C22⋊C4) = C7×C4.6Q16central stem extension (φ=1)448C2^2.41(C7xC2^2:C4)448,137

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