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

Direct product G=N×Q with N=C4 and Q=C7×C22⋊C4
dρLabelID
C22⋊C4×C28224C2^2:C4xC28448,785

Semidirect products G=N:Q with N=C4 and Q=C7×C22⋊C4
extensionφ:Q→Aut NdρLabelID
C41(C7×C22⋊C4) = C7×C24.3C22φ: C7×C22⋊C4/C2×C28C2 ⊆ Aut C4224C4:1(C7xC2^2:C4)448,798
C42(C7×C22⋊C4) = C7×C23.7Q8φ: C7×C22⋊C4/C22×C14C2 ⊆ Aut C4224C4:2(C7xC2^2:C4)448,788

Non-split extensions G=N.Q with N=C4 and Q=C7×C22⋊C4
extensionφ:Q→Aut NdρLabelID
C4.1(C7×C22⋊C4) = C7×C2.D16φ: C7×C22⋊C4/C2×C28C2 ⊆ Aut C4224C4.1(C7xC2^2:C4)448,161
C4.2(C7×C22⋊C4) = C7×C2.Q32φ: C7×C22⋊C4/C2×C28C2 ⊆ Aut C4448C4.2(C7xC2^2:C4)448,162
C4.3(C7×C22⋊C4) = C7×D8.C4φ: C7×C22⋊C4/C2×C28C2 ⊆ Aut C42242C4.3(C7xC2^2:C4)448,163
C4.4(C7×C22⋊C4) = C7×D82C4φ: C7×C22⋊C4/C2×C28C2 ⊆ Aut C41124C4.4(C7xC2^2:C4)448,164
C4.5(C7×C22⋊C4) = C7×M5(2)⋊C2φ: C7×C22⋊C4/C2×C28C2 ⊆ Aut C41124C4.5(C7xC2^2:C4)448,165
C4.6(C7×C22⋊C4) = C7×C8.17D4φ: C7×C22⋊C4/C2×C28C2 ⊆ Aut C42244C4.6(C7xC2^2:C4)448,166
C4.7(C7×C22⋊C4) = C7×C23.67C23φ: C7×C22⋊C4/C2×C28C2 ⊆ Aut C4448C4.7(C7xC2^2:C4)448,799
C4.8(C7×C22⋊C4) = C7×(C22×C8)⋊C2φ: C7×C22⋊C4/C2×C28C2 ⊆ Aut C4224C4.8(C7xC2^2:C4)448,816
C4.9(C7×C22⋊C4) = C7×C23.C23φ: C7×C22⋊C4/C2×C28C2 ⊆ Aut C41124C4.9(C7xC2^2:C4)448,818
C4.10(C7×C22⋊C4) = C14×C4.D4φ: C7×C22⋊C4/C2×C28C2 ⊆ Aut C4112C4.10(C7xC2^2:C4)448,819
C4.11(C7×C22⋊C4) = C14×C4.10D4φ: C7×C22⋊C4/C2×C28C2 ⊆ Aut C4224C4.11(C7xC2^2:C4)448,820
C4.12(C7×C22⋊C4) = C14×D4⋊C4φ: C7×C22⋊C4/C2×C28C2 ⊆ Aut C4224C4.12(C7xC2^2:C4)448,822
C4.13(C7×C22⋊C4) = C14×Q8⋊C4φ: C7×C22⋊C4/C2×C28C2 ⊆ Aut C4448C4.13(C7xC2^2:C4)448,823
C4.14(C7×C22⋊C4) = C7×C23.37D4φ: C7×C22⋊C4/C2×C28C2 ⊆ Aut C4112C4.14(C7xC2^2:C4)448,826
C4.15(C7×C22⋊C4) = C7×C23.38D4φ: C7×C22⋊C4/C2×C28C2 ⊆ Aut C4224C4.15(C7xC2^2:C4)448,827
C4.16(C7×C22⋊C4) = C7×C42⋊C22φ: C7×C22⋊C4/C2×C28C2 ⊆ Aut C41124C4.16(C7xC2^2:C4)448,829
C4.17(C7×C22⋊C4) = C7×C4.9C42φ: C7×C22⋊C4/C22×C14C2 ⊆ Aut C41124C4.17(C7xC2^2:C4)448,141
C4.18(C7×C22⋊C4) = C7×C4.10C42φ: C7×C22⋊C4/C22×C14C2 ⊆ Aut C41124C4.18(C7xC2^2:C4)448,142
C4.19(C7×C22⋊C4) = C7×C22.4Q16φ: C7×C22⋊C4/C22×C14C2 ⊆ Aut C4448C4.19(C7xC2^2:C4)448,144
C4.20(C7×C22⋊C4) = C7×C22.C42φ: C7×C22⋊C4/C22×C14C2 ⊆ Aut C4224C4.20(C7xC2^2:C4)448,147
C4.21(C7×C22⋊C4) = C7×C24.4C4φ: C7×C22⋊C4/C22×C14C2 ⊆ Aut C4112C4.21(C7xC2^2:C4)448,815
C4.22(C7×C22⋊C4) = C7×M4(2).8C22φ: C7×C22⋊C4/C22×C14C2 ⊆ Aut C41124C4.22(C7xC2^2:C4)448,821
C4.23(C7×C22⋊C4) = C7×C23.36D4φ: C7×C22⋊C4/C22×C14C2 ⊆ Aut C4224C4.23(C7xC2^2:C4)448,825
C4.24(C7×C22⋊C4) = C7×C22.7C42central extension (φ=1)448C4.24(C7xC2^2:C4)448,140
C4.25(C7×C22⋊C4) = C7×C426C4central extension (φ=1)112C4.25(C7xC2^2:C4)448,143
C4.26(C7×C22⋊C4) = C7×C4.C42central extension (φ=1)224C4.26(C7xC2^2:C4)448,145
C4.27(C7×C22⋊C4) = C7×M4(2)⋊4C4central extension (φ=1)1124C4.27(C7xC2^2:C4)448,148
C4.28(C7×C22⋊C4) = C7×C22⋊C16central extension (φ=1)224C4.28(C7xC2^2:C4)448,152
C4.29(C7×C22⋊C4) = C7×C23.C8central extension (φ=1)1124C4.29(C7xC2^2:C4)448,153
C4.30(C7×C22⋊C4) = C7×D4.C8central extension (φ=1)2242C4.30(C7xC2^2:C4)448,154
C4.31(C7×C22⋊C4) = C14×C22⋊C8central extension (φ=1)224C4.31(C7xC2^2:C4)448,814
C4.32(C7×C22⋊C4) = C7×C23.24D4central extension (φ=1)224C4.32(C7xC2^2:C4)448,824
C4.33(C7×C22⋊C4) = C14×C4≀C2central extension (φ=1)112C4.33(C7xC2^2:C4)448,828

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