Extensions 1→N→G→Q→1 with N=C8 and Q=C2×C28

Direct product G=N×Q with N=C8 and Q=C2×C28
dρLabelID
C2×C4×C56448C2xC4xC56448,810

Semidirect products G=N:Q with N=C8 and Q=C2×C28
extensionφ:Q→Aut NdρLabelID
C81(C2×C28) = C7×M4(2)⋊C4φ: C2×C28/C14C22 ⊆ Aut C8224C8:1(C2xC28)448,836
C82(C2×C28) = C7×SD16⋊C4φ: C2×C28/C14C22 ⊆ Aut C8224C8:2(C2xC28)448,848
C83(C2×C28) = C7×D8⋊C4φ: C2×C28/C14C22 ⊆ Aut C8224C8:3(C2xC28)448,850
C84(C2×C28) = D8×C28φ: C2×C28/C28C2 ⊆ Aut C8224C8:4(C2xC28)448,845
C85(C2×C28) = SD16×C28φ: C2×C28/C28C2 ⊆ Aut C8224C8:5(C2xC28)448,846
C86(C2×C28) = M4(2)×C28φ: C2×C28/C28C2 ⊆ Aut C8224C8:6(C2xC28)448,812
C87(C2×C28) = C14×C2.D8φ: C2×C28/C2×C14C2 ⊆ Aut C8448C8:7(C2xC28)448,834
C88(C2×C28) = C14×C4.Q8φ: C2×C28/C2×C14C2 ⊆ Aut C8448C8:8(C2xC28)448,833
C89(C2×C28) = C14×C8⋊C4φ: C2×C28/C2×C14C2 ⊆ Aut C8448C8:9(C2xC28)448,811

Non-split extensions G=N.Q with N=C8 and Q=C2×C28
extensionφ:Q→Aut NdρLabelID
C8.1(C2×C28) = C7×D82C4φ: C2×C28/C14C22 ⊆ Aut C81124C8.1(C2xC28)448,164
C8.2(C2×C28) = C7×M5(2)⋊C2φ: C2×C28/C14C22 ⊆ Aut C81124C8.2(C2xC28)448,165
C8.3(C2×C28) = C7×C8.17D4φ: C2×C28/C14C22 ⊆ Aut C82244C8.3(C2xC28)448,166
C8.4(C2×C28) = C7×M4(2).C4φ: C2×C28/C14C22 ⊆ Aut C81124C8.4(C2xC28)448,838
C8.5(C2×C28) = C7×Q16⋊C4φ: C2×C28/C14C22 ⊆ Aut C8448C8.5(C2xC28)448,849
C8.6(C2×C28) = C7×C8.26D4φ: C2×C28/C14C22 ⊆ Aut C81124C8.6(C2xC28)448,852
C8.7(C2×C28) = C7×C2.D16φ: C2×C28/C28C2 ⊆ Aut C8224C8.7(C2xC28)448,161
C8.8(C2×C28) = C7×C2.Q32φ: C2×C28/C28C2 ⊆ Aut C8448C8.8(C2xC28)448,162
C8.9(C2×C28) = C7×D8.C4φ: C2×C28/C28C2 ⊆ Aut C82242C8.9(C2xC28)448,163
C8.10(C2×C28) = Q16×C28φ: C2×C28/C28C2 ⊆ Aut C8448C8.10(C2xC28)448,847
C8.11(C2×C28) = C7×C8○D8φ: C2×C28/C28C2 ⊆ Aut C81122C8.11(C2xC28)448,851
C8.12(C2×C28) = C7×D4○C16φ: C2×C28/C28C2 ⊆ Aut C82242C8.12(C2xC28)448,912
C8.13(C2×C28) = C7×C163C4φ: C2×C28/C2×C14C2 ⊆ Aut C8448C8.13(C2xC28)448,170
C8.14(C2×C28) = C7×C164C4φ: C2×C28/C2×C14C2 ⊆ Aut C8448C8.14(C2xC28)448,171
C8.15(C2×C28) = C7×C8.4Q8φ: C2×C28/C2×C14C2 ⊆ Aut C82242C8.15(C2xC28)448,172
C8.16(C2×C28) = C7×C23.25D4φ: C2×C28/C2×C14C2 ⊆ Aut C8224C8.16(C2xC28)448,835
C8.17(C2×C28) = C14×C8.C4φ: C2×C28/C2×C14C2 ⊆ Aut C8224C8.17(C2xC28)448,837
C8.18(C2×C28) = C7×C8.Q8φ: C2×C28/C2×C14C2 ⊆ Aut C81124C8.18(C2xC28)448,169
C8.19(C2×C28) = C7×C16⋊C4φ: C2×C28/C2×C14C2 ⊆ Aut C81124C8.19(C2xC28)448,151
C8.20(C2×C28) = C14×M5(2)φ: C2×C28/C2×C14C2 ⊆ Aut C8224C8.20(C2xC28)448,911
C8.21(C2×C28) = C7×C165C4central extension (φ=1)448C8.21(C2xC28)448,150
C8.22(C2×C28) = C7×M6(2)central extension (φ=1)2242C8.22(C2xC28)448,174
C8.23(C2×C28) = C7×C82M4(2)central extension (φ=1)224C8.23(C2xC28)448,813

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