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

Direct product G=N×Q with N=C4 and Q=C7×C4⋊C4
dρLabelID
C4⋊C4×C28448C4:C4xC28448,786

Semidirect products G=N:Q with N=C4 and Q=C7×C4⋊C4
extensionφ:Q→Aut NdρLabelID
C4⋊1(C7×C4⋊C4) = C7×C42⋊9C4φ: C7×C4⋊C4/C2×C28 → C2 ⊆ Aut C4448C4:1(C7xC4:C4)448,792
C4⋊2(C7×C4⋊C4) = C7×C23.65C23φ: C7×C4⋊C4/C2×C28 → C2 ⊆ Aut C4448C4:2(C7xC4:C4)448,797

Non-split extensions G=N.Q with N=C4 and Q=C7×C4⋊C4
extensionφ:Q→Aut NdρLabelID
C4.1(C7×C4⋊C4) = C7×C4.9C42φ: C7×C4⋊C4/C2×C28 → C2 ⊆ Aut C41124C4.1(C7xC4:C4)448,141
C4.2(C7×C4⋊C4) = C7×C42⋊6C4φ: C7×C4⋊C4/C2×C28 → C2 ⊆ Aut C4112C4.2(C7xC4:C4)448,143
C4.3(C7×C4⋊C4) = C7×C22.4Q16φ: C7×C4⋊C4/C2×C28 → C2 ⊆ Aut C4448C4.3(C7xC4:C4)448,144
C4.4(C7×C4⋊C4) = C7×C22.C42φ: C7×C4⋊C4/C2×C28 → C2 ⊆ Aut C4224C4.4(C7xC4:C4)448,147
C4.5(C7×C4⋊C4) = C7×M4(2)⋊4C4φ: C7×C4⋊C4/C2×C28 → C2 ⊆ Aut C41124C4.5(C7xC4:C4)448,148
C4.6(C7×C4⋊C4) = C7×C8.Q8φ: C7×C4⋊C4/C2×C28 → C2 ⊆ Aut C41124C4.6(C7xC4:C4)448,169
C4.7(C7×C4⋊C4) = C7×C16⋊3C4φ: C7×C4⋊C4/C2×C28 → C2 ⊆ Aut C4448C4.7(C7xC4:C4)448,170
C4.8(C7×C4⋊C4) = C7×C16⋊4C4φ: C7×C4⋊C4/C2×C28 → C2 ⊆ Aut C4448C4.8(C7xC4:C4)448,171
C4.9(C7×C4⋊C4) = C7×C8.4Q8φ: C7×C4⋊C4/C2×C28 → C2 ⊆ Aut C42242C4.9(C7xC4:C4)448,172
C4.10(C7×C4⋊C4) = C7×C42⋊8C4φ: C7×C4⋊C4/C2×C28 → C2 ⊆ Aut C4448C4.10(C7xC4:C4)448,790
C4.11(C7×C4⋊C4) = C7×C4⋊M4(2)φ: C7×C4⋊C4/C2×C28 → C2 ⊆ Aut C4224C4.11(C7xC4:C4)448,831
C4.12(C7×C4⋊C4) = C7×C42.6C22φ: C7×C4⋊C4/C2×C28 → C2 ⊆ Aut C4224C4.12(C7xC4:C4)448,832
C4.13(C7×C4⋊C4) = C14×C4.Q8φ: C7×C4⋊C4/C2×C28 → C2 ⊆ Aut C4448C4.13(C7xC4:C4)448,833
C4.14(C7×C4⋊C4) = C14×C2.D8φ: C7×C4⋊C4/C2×C28 → C2 ⊆ Aut C4448C4.14(C7xC4:C4)448,834
C4.15(C7×C4⋊C4) = C7×M4(2)⋊C4φ: C7×C4⋊C4/C2×C28 → C2 ⊆ Aut C4224C4.15(C7xC4:C4)448,836
C4.16(C7×C4⋊C4) = C7×M4(2).C4φ: C7×C4⋊C4/C2×C28 → C2 ⊆ Aut C41124C4.16(C7xC4:C4)448,838
C4.17(C7×C4⋊C4) = C7×C22.7C42central extension (φ=1)448C4.17(C7xC4:C4)448,140
C4.18(C7×C4⋊C4) = C7×C4⋊C16central extension (φ=1)448C4.18(C7xC4:C4)448,167
C4.19(C7×C4⋊C4) = C7×C8.C8central extension (φ=1)1122C4.19(C7xC4:C4)448,168
C4.20(C7×C4⋊C4) = C14×C4⋊C8central extension (φ=1)448C4.20(C7xC4:C4)448,830
C4.21(C7×C4⋊C4) = C7×C23.25D4central extension (φ=1)224C4.21(C7xC4:C4)448,835
C4.22(C7×C4⋊C4) = C14×C8.C4central extension (φ=1)224C4.22(C7xC4:C4)448,837

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