Extensions 1→N→G→Q→1 with N=2+ 1+4 and Q=C22

Direct product G=NxQ with N=2+ 1+4 and Q=C22
dρLabelID
C22x2+ 1+432C2^2xES+(2,2)128,2323

Semidirect products G=N:Q with N=2+ 1+4 and Q=C22
extensionφ:Q→Out NdρLabelID
2+ 1+4:1C22 = D4wrC2φ: C22/C1C22 ⊆ Out 2+ 1+484+ES+(2,2):1C2^2128,928
2+ 1+4:2C22 = D8:11D4φ: C22/C1C22 ⊆ Out 2+ 1+4168+ES+(2,2):2C2^2128,2020
2+ 1+4:3C22 = D8:6D4φ: C22/C1C22 ⊆ Out 2+ 1+4164ES+(2,2):3C2^2128,2023
2+ 1+4:4C22 = D8oD8φ: C22/C1C22 ⊆ Out 2+ 1+4164+ES+(2,2):4C2^2128,2024
2+ 1+4:5C22 = C2xD4:4D4φ: C22/C2C2 ⊆ Out 2+ 1+416ES+(2,2):5C2^2128,1746
2+ 1+4:6C22 = C42.12C23φ: C22/C2C2 ⊆ Out 2+ 1+4168+ES+(2,2):6C2^2128,1753
2+ 1+4:7C22 = C2xC2wrC22φ: C22/C2C2 ⊆ Out 2+ 1+416ES+(2,2):7C2^2128,1755
2+ 1+4:8C22 = C2xD4oD8φ: C22/C2C2 ⊆ Out 2+ 1+432ES+(2,2):8C2^2128,2313
2+ 1+4:9C22 = C2xD4oSD16φ: C22/C2C2 ⊆ Out 2+ 1+432ES+(2,2):9C2^2128,2314
2+ 1+4:10C22 = C8.C24φ: C22/C2C2 ⊆ Out 2+ 1+4324ES+(2,2):10C2^2128,2316
2+ 1+4:11C22 = D8:C23φ: C22/C2C2 ⊆ Out 2+ 1+4168+ES+(2,2):11C2^2128,2317
2+ 1+4:12C22 = C4.C25φ: C22/C2C2 ⊆ Out 2+ 1+4328-ES+(2,2):12C2^2128,2318
2+ 1+4:13C22 = C2xC2.C25φ: trivial image32ES+(2,2):13C2^2128,2325
2+ 1+4:14C22 = 2+ 1+6φ: trivial image168+ES+(2,2):14C2^2128,2326
2+ 1+4:15C22 = 2- 1+6φ: trivial image328-ES+(2,2):15C2^2128,2327

Non-split extensions G=N.Q with N=2+ 1+4 and Q=C22
extensionφ:Q→Out NdρLabelID
2+ 1+4.1C22 = C42:4D4φ: C22/C1C22 ⊆ Out 2+ 1+4164ES+(2,2).1C2^2128,929
2+ 1+4.2C22 = C42.13D4φ: C22/C1C22 ⊆ Out 2+ 1+4164ES+(2,2).2C2^2128,930
2+ 1+4.3C22 = C42:5D4φ: C22/C1C22 ⊆ Out 2+ 1+4168+ES+(2,2).3C2^2128,931
2+ 1+4.4C22 = C42:6D4φ: C22/C1C22 ⊆ Out 2+ 1+4168+ES+(2,2).4C2^2128,932
2+ 1+4.5C22 = C42.14D4φ: C22/C1C22 ⊆ Out 2+ 1+4328-ES+(2,2).5C2^2128,933
2+ 1+4.6C22 = D8.13D4φ: C22/C1C22 ⊆ Out 2+ 1+4328-ES+(2,2).6C2^2128,2021
2+ 1+4.7C22 = D8oSD16φ: C22/C1C22 ⊆ Out 2+ 1+4324ES+(2,2).7C2^2128,2022
2+ 1+4.8C22 = C2xD4.9D4φ: C22/C2C2 ⊆ Out 2+ 1+432ES+(2,2).8C2^2128,1747
2+ 1+4.9C22 = C42.313C23φ: C22/C2C2 ⊆ Out 2+ 1+4164ES+(2,2).9C2^2128,1750
2+ 1+4.10C22 = M4(2):C23φ: C22/C2C2 ⊆ Out 2+ 1+4168+ES+(2,2).10C2^2128,1751
2+ 1+4.11C22 = C42.13C23φ: C22/C2C2 ⊆ Out 2+ 1+4328-ES+(2,2).11C2^2128,1754
2+ 1+4.12C22 = C2xC23.7D4φ: C22/C2C2 ⊆ Out 2+ 1+432ES+(2,2).12C2^2128,1756
2+ 1+4.13C22 = C23.7C24φ: C22/C2C2 ⊆ Out 2+ 1+4164ES+(2,2).13C2^2128,1757
2+ 1+4.14C22 = C24:C23φ: C22/C2C2 ⊆ Out 2+ 1+4168+ES+(2,2).14C2^2128,1758
2+ 1+4.15C22 = C23.9C24φ: C22/C2C2 ⊆ Out 2+ 1+4168+ES+(2,2).15C2^2128,1759
2+ 1+4.16C22 = C23.10C24φ: C22/C2C2 ⊆ Out 2+ 1+4328-ES+(2,2).16C2^2128,1760

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