Extensions 1→N→G→Q→1 with N=C32 and Q=Q32

Direct product G=N×Q with N=C32 and Q=Q32
dρLabelID
C32×Q32288C3^2xQ32288,331

Semidirect products G=N:Q with N=C32 and Q=Q32
extensionφ:Q→Aut NdρLabelID
C32⋊Q32 = C32⋊Q32φ: Q32/C4 → D4 ⊆ Aut C32968-C3^2:Q32288,384
C32⋊2Q32 = C32⋊2Q32φ: Q32/C8 → C22 ⊆ Aut C32964C3^2:2Q32288,198
C32⋊3Q32 = C32⋊3Q32φ: Q32/C8 → C22 ⊆ Aut C32964-C3^2:3Q32288,199
C32⋊4Q32 = C3×Dic24φ: Q32/C16 → C2 ⊆ Aut C32962C3^2:4Q32288,235
C32⋊5Q32 = C32⋊5Q32φ: Q32/C16 → C2 ⊆ Aut C32288C3^2:5Q32288,276
C32⋊6Q32 = C3×C3⋊Q32φ: Q32/Q16 → C2 ⊆ Aut C32964C3^2:6Q32288,263
C32⋊7Q32 = C32⋊7Q32φ: Q32/Q16 → C2 ⊆ Aut C32288C3^2:7Q32288,304


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