Extensions 1→N→G→Q→1 with N=C7 and Q=C2×2- 1+4

Direct product G=N×Q with N=C7 and Q=C2×2- 1+4
dρLabelID
C14×2- 1+4224C14xES-(2,2)448,1390

Semidirect products G=N:Q with N=C7 and Q=C2×2- 1+4
extensionφ:Q→Aut NdρLabelID
C7⋊1(C2×2- 1+4) = C2×Q8.10D14φ: C2×2- 1+4/C22×Q8 → C2 ⊆ Aut C7224C7:1(C2xES-(2,2))448,1374
C7⋊2(C2×2- 1+4) = C2×D4.10D14φ: C2×2- 1+4/C2×C4○D4 → C2 ⊆ Aut C7224C7:2(C2xES-(2,2))448,1377
C7⋊3(C2×2- 1+4) = D7×2- 1+4φ: C2×2- 1+4/2- 1+4 → C2 ⊆ Aut C71128-C7:3(C2xES-(2,2))448,1381


׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁