Extensions 1→N→G→Q→1 with N=C8oD4 and Q=C4

Direct product G=NxQ with N=C8oD4 and Q=C4
dρLabelID
C4xC8oD464C4xC8oD4128,1606

Semidirect products G=N:Q with N=C8oD4 and Q=C4
extensionφ:Q→Out NdρLabelID
C8oD4:1C4 = C8oD4:C4φ: C4/C2C2 ⊆ Out C8oD4324C8oD4:1C4128,546
C8oD4:2C4 = C4oD4.4Q8φ: C4/C2C2 ⊆ Out C8oD464C8oD4:2C4128,547
C8oD4:3C4 = C4oD4.5Q8φ: C4/C2C2 ⊆ Out C8oD464C8oD4:3C4128,548
C8oD4:4C4 = C4oD4.7Q8φ: C4/C2C2 ⊆ Out C8oD464C8oD4:4C4128,1644
C8oD4:5C4 = C4oD4.8Q8φ: C4/C2C2 ⊆ Out C8oD464C8oD4:5C4128,1645
C8oD4:6C4 = Q8.C42φ: C4/C2C2 ⊆ Out C8oD432C8oD4:6C4128,496
C8oD4:7C4 = D4.3C42φ: C4/C2C2 ⊆ Out C8oD432C8oD4:7C4128,497
C8oD4:8C4 = D4.5C42φ: C4/C2C2 ⊆ Out C8oD464C8oD4:8C4128,1607

Non-split extensions G=N.Q with N=C8oD4 and Q=C4
extensionφ:Q→Out NdρLabelID
C8oD4.1C4 = M4(2).29C23φ: C4/C2C2 ⊆ Out C8oD4324C8oD4.1C4128,1648
C8oD4.2C4 = D4.C16φ: C4/C2C2 ⊆ Out C8oD4642C8oD4.2C4128,133
C8oD4.3C4 = C2xD4.C8φ: C4/C2C2 ⊆ Out C8oD464C8oD4.3C4128,848
C8oD4.4C4 = M5(2):12C22φ: C4/C2C2 ⊆ Out C8oD4324C8oD4.4C4128,849
C8oD4.5C4 = Q8oM5(2)φ: C4/C2C2 ⊆ Out C8oD4324C8oD4.5C4128,2139
C8oD4.6C4 = D4oC32φ: trivial image642C8oD4.6C4128,990
C8oD4.7C4 = C2xD4oC16φ: trivial image64C8oD4.7C4128,2138

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