Extensions 1→N→G→Q→1 with N=C7 and Q=C2×SD16

Direct product G=N×Q with N=C7 and Q=C2×SD16
dρLabelID
C14×SD16112C14xSD16224,168

Semidirect products G=N:Q with N=C7 and Q=C2×SD16
extensionφ:Q→Aut NdρLabelID
C7⋊1(C2×SD16) = C2×C56⋊C2φ: C2×SD16/C2×C8 → C2 ⊆ Aut C7112C7:1(C2xSD16)224,97
C7⋊2(C2×SD16) = D7×SD16φ: C2×SD16/SD16 → C2 ⊆ Aut C7564C7:2(C2xSD16)224,108
C7⋊3(C2×SD16) = C2×D4.D7φ: C2×SD16/C2×D4 → C2 ⊆ Aut C7112C7:3(C2xSD16)224,128
C7⋊4(C2×SD16) = C2×Q8⋊D7φ: C2×SD16/C2×Q8 → C2 ⊆ Aut C7112C7:4(C2xSD16)224,136


׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁