Extensions 1→N→G→Q→1 with N=D4.5D4 and Q=C2

Direct product G=NxQ with N=D4.5D4 and Q=C2
dρLabelID
C2xD4.5D464C2xD4.5D4128,1798

Semidirect products G=N:Q with N=D4.5D4 and Q=C2
extensionφ:Q→Out NdρLabelID
D4.5D4:1C2 = D8.3D4φ: C2/C1C2 ⊆ Out D4.5D4324D4.5D4:1C2128,926
D4.5D4:2C2 = D8.12D4φ: C2/C1C2 ⊆ Out D4.5D4644-D4.5D4:2C2128,927
D4.5D4:3C2 = D4.5D8φ: C2/C1C2 ⊆ Out D4.5D4324D4.5D4:3C2128,955
D4.5D4:4C2 = M4(2).38D4φ: C2/C1C2 ⊆ Out D4.5D4328-D4.5D4:4C2128,1801
D4.5D4:5C2 = D8.13D4φ: C2/C1C2 ⊆ Out D4.5D4328-D4.5D4:5C2128,2021
D4.5D4:6C2 = D8oSD16φ: C2/C1C2 ⊆ Out D4.5D4324D4.5D4:6C2128,2022
D4.5D4:7C2 = D8oQ16φ: C2/C1C2 ⊆ Out D4.5D4324-D4.5D4:7C2128,2025
D4.5D4:8C2 = M4(2).10C23φ: trivial image324D4.5D4:8C2128,1799

Non-split extensions G=N.Q with N=D4.5D4 and Q=C2
extensionφ:Q→Out NdρLabelID
D4.5D4.C2 = D4.4D8φ: C2/C1C2 ⊆ Out D4.5D4644-D4.5D4.C2128,954

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