Extensions 1→N→G→Q→1 with N=C2 and Q=C4⋊C4

Direct product G=N×Q with N=C2 and Q=C4⋊C4
dρLabelID
C2×C4⋊C432C2xC4:C432,23


Non-split extensions G=N.Q with N=C2 and Q=C4⋊C4
extensionφ:Q→Aut NdρLabelID
C2.1(C4⋊C4) = C2.C42central extension (φ=1)32C2.1(C4:C4)32,2
C2.2(C4⋊C4) = C4⋊C8central extension (φ=1)32C2.2(C4:C4)32,12
C2.3(C4⋊C4) = C4.Q8central stem extension (φ=1)32C2.3(C4:C4)32,13
C2.4(C4⋊C4) = C2.D8central stem extension (φ=1)32C2.4(C4:C4)32,14
C2.5(C4⋊C4) = C8.C4central stem extension (φ=1)162C2.5(C4:C4)32,15

׿
×
𝔽