Extensions 1→N→G→Q→1 with N=D8⋊2C4 and Q=C2

Direct product G=N×Q with N=D8⋊2C4 and Q=C2
dρLabelID
C2×D8⋊2C432C2xD8:2C4128,876

Semidirect products G=N:Q with N=D8⋊2C4 and Q=C2
extensionφ:Q→Out NdρLabelID
D8⋊2C4⋊1C2 = D8⋊D4φ: C2/C1 → C2 ⊆ Out D8⋊2C4168+D8:2C4:1C2128,922
D8⋊2C4⋊2C2 = D8.D4φ: C2/C1 → C2 ⊆ Out D8⋊2C4328-D8:2C4:2C2128,923
D8⋊2C4⋊3C2 = D16⋊C4φ: C2/C1 → C2 ⊆ Out D8⋊2C4168+D8:2C4:3C2128,913
D8⋊2C4⋊4C2 = C23.13D8φ: trivial image324D8:2C4:4C2128,877

Non-split extensions G=N.Q with N=D8⋊2C4 and Q=C2
extensionφ:Q→Out NdρLabelID
D8⋊2C4.1C2 = D8⋊3Q8φ: C2/C1 → C2 ⊆ Out D8⋊2C4164D8:2C4.1C2128,962
D8⋊2C4.2C2 = D8.2Q8φ: C2/C1 → C2 ⊆ Out D8⋊2C4324D8:2C4.2C2128,963
D8⋊2C4.3C2 = Q32⋊C4φ: C2/C1 → C2 ⊆ Out D8⋊2C4328-D8:2C4.3C2128,912

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁