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

Direct product G=N×Q with N=C22 and Q=C7×C4⋊C4
dρLabelID
C4⋊C4×C2×C14448C4:C4xC2xC14448,1296

Semidirect products G=N:Q with N=C22 and Q=C7×C4⋊C4
extensionφ:Q→Aut NdρLabelID
C221(C7×C4⋊C4) = C7×C23.7Q8φ: C7×C4⋊C4/C2×C28C2 ⊆ Aut C22224C2^2:1(C7xC4:C4)448,788
C222(C7×C4⋊C4) = C7×C23.8Q8φ: C7×C4⋊C4/C2×C28C2 ⊆ Aut C22224C2^2:2(C7xC4:C4)448,793

Non-split extensions G=N.Q with N=C22 and Q=C7×C4⋊C4
extensionφ:Q→Aut NdρLabelID
C22.1(C7×C4⋊C4) = C7×C4.9C42φ: C7×C4⋊C4/C2×C28C2 ⊆ Aut C221124C2^2.1(C7xC4:C4)448,141
C22.2(C7×C4⋊C4) = C7×C4.10C42φ: C7×C4⋊C4/C2×C28C2 ⊆ Aut C221124C2^2.2(C7xC4:C4)448,142
C22.3(C7×C4⋊C4) = C7×C426C4φ: C7×C4⋊C4/C2×C28C2 ⊆ Aut C22112C2^2.3(C7xC4:C4)448,143
C22.4(C7×C4⋊C4) = C7×C23.9D4φ: C7×C4⋊C4/C2×C28C2 ⊆ Aut C22112C2^2.4(C7xC4:C4)448,146
C22.5(C7×C4⋊C4) = C7×C22.C42φ: C7×C4⋊C4/C2×C28C2 ⊆ Aut C22224C2^2.5(C7xC4:C4)448,147
C22.6(C7×C4⋊C4) = C7×M4(2)⋊4C4φ: C7×C4⋊C4/C2×C28C2 ⊆ Aut C221124C2^2.6(C7xC4:C4)448,148
C22.7(C7×C4⋊C4) = C7×C4⋊M4(2)φ: C7×C4⋊C4/C2×C28C2 ⊆ Aut C22224C2^2.7(C7xC4:C4)448,831
C22.8(C7×C4⋊C4) = C7×C42.6C22φ: C7×C4⋊C4/C2×C28C2 ⊆ Aut C22224C2^2.8(C7xC4:C4)448,832
C22.9(C7×C4⋊C4) = C7×C23.25D4φ: C7×C4⋊C4/C2×C28C2 ⊆ Aut C22224C2^2.9(C7xC4:C4)448,835
C22.10(C7×C4⋊C4) = C7×M4(2)⋊C4φ: C7×C4⋊C4/C2×C28C2 ⊆ Aut C22224C2^2.10(C7xC4:C4)448,836
C22.11(C7×C4⋊C4) = C14×C8.C4φ: C7×C4⋊C4/C2×C28C2 ⊆ Aut C22224C2^2.11(C7xC4:C4)448,837
C22.12(C7×C4⋊C4) = C7×M4(2).C4φ: C7×C4⋊C4/C2×C28C2 ⊆ Aut C221124C2^2.12(C7xC4:C4)448,838
C22.13(C7×C4⋊C4) = C7×C82C8central extension (φ=1)448C2^2.13(C7xC4:C4)448,138
C22.14(C7×C4⋊C4) = C7×C81C8central extension (φ=1)448C2^2.14(C7xC4:C4)448,139
C22.15(C7×C4⋊C4) = C7×C22.7C42central extension (φ=1)448C2^2.15(C7xC4:C4)448,140
C22.16(C7×C4⋊C4) = C7×C22.4Q16central extension (φ=1)448C2^2.16(C7xC4:C4)448,144
C22.17(C7×C4⋊C4) = C7×C4.C42central extension (φ=1)224C2^2.17(C7xC4:C4)448,145
C22.18(C7×C4⋊C4) = C14×C2.C42central extension (φ=1)448C2^2.18(C7xC4:C4)448,783
C22.19(C7×C4⋊C4) = C14×C4⋊C8central extension (φ=1)448C2^2.19(C7xC4:C4)448,830
C22.20(C7×C4⋊C4) = C14×C4.Q8central extension (φ=1)448C2^2.20(C7xC4:C4)448,833
C22.21(C7×C4⋊C4) = C14×C2.D8central extension (φ=1)448C2^2.21(C7xC4:C4)448,834

׿
×
𝔽