Extensions 1→N→G→Q→1 with N=C22 and Q=C23

Direct product G=N×Q with N=C22 and Q=C23

Semidirect products G=N:Q with N=C22 and Q=C23
extensionφ:Q→Aut NdρLabelID
C22⋊C23 = C22×D4φ: C23/C22C2 ⊆ Aut C2216C2^2:C2^332,46

Non-split extensions G=N.Q with N=C22 and Q=C23
extensionφ:Q→Aut NdρLabelID
C22.1C23 = C2×C4○D4φ: C23/C22C2 ⊆ Aut C2216C2^2.1C2^332,48
C22.2C23 = 2+ 1+4φ: C23/C22C2 ⊆ Aut C2284+C2^2.2C2^332,49
C22.3C23 = 2- 1+4φ: C23/C22C2 ⊆ Aut C22164-C2^2.3C2^332,50
C22.4C23 = C2×C22⋊C4central extension (φ=1)16C2^2.4C2^332,22
C22.5C23 = C2×C4⋊C4central extension (φ=1)32C2^2.5C2^332,23
C22.6C23 = C42⋊C2central extension (φ=1)16C2^2.6C2^332,24
C22.7C23 = C4×D4central extension (φ=1)16C2^2.7C2^332,25
C22.8C23 = C4×Q8central extension (φ=1)32C2^2.8C2^332,26
C22.9C23 = C22×Q8central extension (φ=1)32C2^2.9C2^332,47
C22.10C23 = C22≀C2central stem extension (φ=1)8C2^2.10C2^332,27
C22.11C23 = C4⋊D4central stem extension (φ=1)16C2^2.11C2^332,28
C22.12C23 = C22⋊Q8central stem extension (φ=1)16C2^2.12C2^332,29
C22.13C23 = C22.D4central stem extension (φ=1)16C2^2.13C2^332,30
C22.14C23 = C4.4D4central stem extension (φ=1)16C2^2.14C2^332,31
C22.15C23 = C42.C2central stem extension (φ=1)32C2^2.15C2^332,32
C22.16C23 = C422C2central stem extension (φ=1)16C2^2.16C2^332,33
C22.17C23 = C41D4central stem extension (φ=1)16C2^2.17C2^332,34
C22.18C23 = C4⋊Q8central stem extension (φ=1)32C2^2.18C2^332,35