Extensions 1→N→G→Q→1 with N=C4 and Q=C2×C28

Direct product G=N×Q with N=C4 and Q=C2×C28
dρLabelID
C2×C4×C28224C2xC4xC28224,149

Semidirect products G=N:Q with N=C4 and Q=C2×C28
extensionφ:Q→Aut NdρLabelID
C41(C2×C28) = D4×C28φ: C2×C28/C28C2 ⊆ Aut C4112C4:1(C2xC28)224,153
C42(C2×C28) = C14×C4⋊C4φ: C2×C28/C2×C14C2 ⊆ Aut C4224C4:2(C2xC28)224,151

Non-split extensions G=N.Q with N=C4 and Q=C2×C28
extensionφ:Q→Aut NdρLabelID
C4.1(C2×C28) = C7×D4⋊C4φ: C2×C28/C28C2 ⊆ Aut C4112C4.1(C2xC28)224,51
C4.2(C2×C28) = C7×Q8⋊C4φ: C2×C28/C28C2 ⊆ Aut C4224C4.2(C2xC28)224,52
C4.3(C2×C28) = C7×C4≀C2φ: C2×C28/C28C2 ⊆ Aut C4562C4.3(C2xC28)224,53
C4.4(C2×C28) = Q8×C28φ: C2×C28/C28C2 ⊆ Aut C4224C4.4(C2xC28)224,154
C4.5(C2×C28) = C7×C8○D4φ: C2×C28/C28C2 ⊆ Aut C41122C4.5(C2xC28)224,166
C4.6(C2×C28) = C7×C4.Q8φ: C2×C28/C2×C14C2 ⊆ Aut C4224C4.6(C2xC28)224,55
C4.7(C2×C28) = C7×C2.D8φ: C2×C28/C2×C14C2 ⊆ Aut C4224C4.7(C2xC28)224,56
C4.8(C2×C28) = C7×C8.C4φ: C2×C28/C2×C14C2 ⊆ Aut C41122C4.8(C2xC28)224,57
C4.9(C2×C28) = C7×C42⋊C2φ: C2×C28/C2×C14C2 ⊆ Aut C4112C4.9(C2xC28)224,152
C4.10(C2×C28) = C14×M4(2)φ: C2×C28/C2×C14C2 ⊆ Aut C4112C4.10(C2xC28)224,165
C4.11(C2×C28) = C7×C8⋊C4central extension (φ=1)224C4.11(C2xC28)224,46
C4.12(C2×C28) = C7×M5(2)central extension (φ=1)1122C4.12(C2xC28)224,59

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