Extensions 1→N→G→Q→1 with N=D4○SD16 and Q=C2

Direct product G=N×Q with N=D4○SD16 and Q=C2
dρLabelID
C2×D4○SD1632C2xD4oSD16128,2314

Semidirect products G=N:Q with N=D4○SD16 and Q=C2
extensionφ:Q→Out NdρLabelID
D4○SD161C2 = D811D4φ: C2/C1C2 ⊆ Out D4○SD16168+D4oSD16:1C2128,2020
D4○SD162C2 = D8.13D4φ: C2/C1C2 ⊆ Out D4○SD16328-D4oSD16:2C2128,2021
D4○SD163C2 = D8○SD16φ: C2/C1C2 ⊆ Out D4○SD16324D4oSD16:3C2128,2022
D4○SD164C2 = D86D4φ: C2/C1C2 ⊆ Out D4○SD16164D4oSD16:4C2128,2023
D4○SD165C2 = D8⋊C23φ: C2/C1C2 ⊆ Out D4○SD16168+D4oSD16:5C2128,2317
D4○SD166C2 = C4.C25φ: C2/C1C2 ⊆ Out D4○SD16328-D4oSD16:6C2128,2318
D4○SD167C2 = C8.C24φ: trivial image324D4oSD16:7C2128,2316


׿
×
𝔽