Extensions 1→N→G→Q→1 with N=C4 and Q=SD32

Direct product G=N×Q with N=C4 and Q=SD32
dρLabelID
C4×SD3264C4xSD32128,905

Semidirect products G=N:Q with N=C4 and Q=SD32
extensionφ:Q→Aut NdρLabelID
C4⋊1SD32 = C16⋊5D4φ: SD32/C16 → C2 ⊆ Aut C464C4:1SD32128,980
C4⋊2SD32 = D8.4D4φ: SD32/D8 → C2 ⊆ Aut C464C4:2SD32128,940
C4⋊3SD32 = Q16⋊2D4φ: SD32/Q16 → C2 ⊆ Aut C464C4:3SD32128,939

Non-split extensions G=N.Q with N=C4 and Q=SD32
extensionφ:Q→Aut NdρLabelID
C4.1SD32 = D16⋊2C4φ: SD32/C16 → C2 ⊆ Aut C464C4.1SD32128,147
C4.2SD32 = Q32⋊2C4φ: SD32/C16 → C2 ⊆ Aut C4128C4.2SD32128,148
C4.3SD32 = C4.4D16φ: SD32/C16 → C2 ⊆ Aut C464C4.3SD32128,972
C4.4SD32 = C4.SD32φ: SD32/C16 → C2 ⊆ Aut C4128C4.4SD32128,973
C4.5SD32 = C16⋊3Q8φ: SD32/C16 → C2 ⊆ Aut C4128C4.5SD32128,986
C4.6SD32 = C8.27D8φ: SD32/D8 → C2 ⊆ Aut C4128C4.6SD32128,94
C4.7SD32 = C4.6Q32φ: SD32/D8 → C2 ⊆ Aut C4128C4.7SD32128,97
C4.8SD32 = D16⋊3C4φ: SD32/D8 → C2 ⊆ Aut C4324C4.8SD32128,150
C4.9SD32 = C8.Q16φ: SD32/D8 → C2 ⊆ Aut C4324C4.9SD32128,158
C4.10SD32 = D8⋊Q8φ: SD32/D8 → C2 ⊆ Aut C464C4.10SD32128,958
C4.11SD32 = C4.D16φ: SD32/Q16 → C2 ⊆ Aut C464C4.11SD32128,93
C4.12SD32 = C4.10D16φ: SD32/Q16 → C2 ⊆ Aut C4128C4.12SD32128,96
C4.13SD32 = Q16⋊Q8φ: SD32/Q16 → C2 ⊆ Aut C4128C4.13SD32128,957
C4.14SD32 = C4.16D16central extension (φ=1)64C4.14SD32128,63
C4.15SD32 = Q16⋊1C8central extension (φ=1)128C4.15SD32128,64
C4.16SD32 = C16⋊4C8central extension (φ=1)128C4.16SD32128,104

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁