Extensions 1→N→G→Q→1 with N=Q8⋊D7 and Q=C2

Direct product G=N×Q with N=Q8⋊D7 and Q=C2
dρLabelID
C2×Q8⋊D7112C2xQ8:D7224,136

Semidirect products G=N:Q with N=Q8⋊D7 and Q=C2
extensionφ:Q→Out NdρLabelID
Q8⋊D7⋊1C2 = D7×SD16φ: C2/C1 → C2 ⊆ Out Q8⋊D7564Q8:D7:1C2224,108
Q8⋊D7⋊2C2 = D56⋊C2φ: C2/C1 → C2 ⊆ Out Q8⋊D7564+Q8:D7:2C2224,109
Q8⋊D7⋊3C2 = Q16⋊D7φ: C2/C1 → C2 ⊆ Out Q8⋊D71124Q8:D7:3C2224,113
Q8⋊D7⋊4C2 = Q8.D14φ: C2/C1 → C2 ⊆ Out Q8⋊D71124+Q8:D7:4C2224,114
Q8⋊D7⋊5C2 = C28.C23φ: C2/C1 → C2 ⊆ Out Q8⋊D71124Q8:D7:5C2224,137
Q8⋊D7⋊6C2 = D4⋊D14φ: C2/C1 → C2 ⊆ Out Q8⋊D7564+Q8:D7:6C2224,144
Q8⋊D7⋊7C2 = D4.8D14φ: trivial image1124Q8:D7:7C2224,145


׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁