Extensions 1→N→G→Q→1 with N=C5 and Q=C4⋊2Q16

Direct product G=N×Q with N=C5 and Q=C4⋊2Q16
dρLabelID
C5×C4⋊2Q16320C5xC4:2Q16320,963

Semidirect products G=N:Q with N=C5 and Q=C4⋊2Q16
extensionφ:Q→Aut NdρLabelID
C5⋊1(C4⋊2Q16) = Dic5⋊Q16φ: C4⋊2Q16/Q8⋊C4 → C2 ⊆ Aut C5320C5:1(C4:2Q16)320,420
C5⋊2(C4⋊2Q16) = C4⋊Dic20φ: C4⋊2Q16/C4⋊C8 → C2 ⊆ Aut C5320C5:2(C4:2Q16)320,476
C5⋊3(C4⋊2Q16) = C20⋊7Q16φ: C4⋊2Q16/C4×Q8 → C2 ⊆ Aut C5320C5:3(C4:2Q16)320,658
C5⋊4(C4⋊2Q16) = C20⋊Q16φ: C4⋊2Q16/C4⋊Q8 → C2 ⊆ Aut C5320C5:4(C4:2Q16)320,717
C5⋊5(C4⋊2Q16) = Dic5⋊3Q16φ: C4⋊2Q16/C2×Q16 → C2 ⊆ Aut C5320C5:5(C4:2Q16)320,809


׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁