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

Direct product G=N×Q with N=C2.D8 and Q=C4
dρLabelID
C4×C2.D8128C4xC2.D8128,507

Semidirect products G=N:Q with N=C2.D8 and Q=C4
extensionφ:Q→Out NdρLabelID
C2.D81C4 = C22.SD32φ: C4/C1C4 ⊆ Out C2.D832C2.D8:1C4128,79
C2.D82C4 = C23.32D8φ: C4/C1C4 ⊆ Out C2.D832C2.D8:2C4128,80
C2.D83C4 = C8.7C42φ: C4/C2C2 ⊆ Out C2.D8128C2.D8:3C4128,112
C2.D84C4 = C2.D84C4φ: C4/C2C2 ⊆ Out C2.D8128C2.D8:4C4128,650
C2.D85C4 = C2.D85C4φ: C4/C2C2 ⊆ Out C2.D8128C2.D8:5C4128,653
C2.D86C4 = M4(2).3Q8φ: C4/C2C2 ⊆ Out C2.D832C2.D8:6C4128,654
C2.D87C4 = C85(C4⋊C4)φ: C4/C2C2 ⊆ Out C2.D8128C2.D8:7C4128,674
C2.D88C4 = C42.62Q8φ: C4/C2C2 ⊆ Out C2.D832C2.D8:8C4128,677
C2.D89C4 = C8.C42φ: C4/C2C2 ⊆ Out C2.D832C2.D8:9C4128,118
C2.D810C4 = C8.5C42φ: C4/C2C2 ⊆ Out C2.D832C2.D8:10C4128,505
C2.D811C4 = C8⋊C42φ: C4/C2C2 ⊆ Out C2.D8128C2.D8:11C4128,508
C2.D812C4 = C4.(C4×Q8)φ: C4/C2C2 ⊆ Out C2.D8128C2.D8:12C4128,675
C2.D813C4 = C42.28Q8φ: C4/C2C2 ⊆ Out C2.D832C2.D8:13C4128,678
C2.D814C4 = C8.14C42φ: trivial image32C2.D8:14C4128,504

Non-split extensions G=N.Q with N=C2.D8 and Q=C4
extensionφ:Q→Out NdρLabelID
C2.D8.1C4 = C23.12SD16φ: C4/C1C4 ⊆ Out C2.D864C2.D8.1C4128,81
C2.D8.2C4 = C23.13SD16φ: C4/C1C4 ⊆ Out C2.D864C2.D8.2C4128,82
C2.D8.3C4 = C8.16Q16φ: C4/C1C4 ⊆ Out C2.D8128C2.D8.3C4128,95
C2.D8.4C4 = C4.10D16φ: C4/C1C4 ⊆ Out C2.D8128C2.D8.4C4128,96
C2.D8.5C4 = C4.6Q32φ: C4/C1C4 ⊆ Out C2.D8128C2.D8.5C4128,97
C2.D8.6C4 = C4.16D16φ: C4/C2C2 ⊆ Out C2.D864C2.D8.6C4128,63
C2.D8.7C4 = Q161C8φ: C4/C2C2 ⊆ Out C2.D8128C2.D8.7C4128,64
C2.D8.8C4 = C8.9C42φ: C4/C2C2 ⊆ Out C2.D864C2.D8.8C4128,114
C2.D8.9C4 = C89D8φ: C4/C2C2 ⊆ Out C2.D864C2.D8.9C4128,313
C2.D8.10C4 = C89Q16φ: C4/C2C2 ⊆ Out C2.D8128C2.D8.10C4128,316
C2.D8.11C4 = D42M4(2)φ: C4/C2C2 ⊆ Out C2.D864C2.D8.11C4128,318
C2.D8.12C4 = Q8.M4(2)φ: C4/C2C2 ⊆ Out C2.D8128C2.D8.12C4128,319
C2.D8.13C4 = C86D8φ: C4/C2C2 ⊆ Out C2.D864C2.D8.13C4128,321
C2.D8.14C4 = C86Q16φ: C4/C2C2 ⊆ Out C2.D8128C2.D8.14C4128,323
C2.D8.15C4 = D8⋊C8φ: C4/C2C2 ⊆ Out C2.D864C2.D8.15C4128,65
C2.D8.16C4 = Q16⋊C8φ: C4/C2C2 ⊆ Out C2.D8128C2.D8.16C4128,66
C2.D8.17C4 = C8.2C42φ: C4/C2C2 ⊆ Out C2.D864C2.D8.17C4128,119
C2.D8.18C4 = Q165C8φ: C4/C2C2 ⊆ Out C2.D8128C2.D8.18C4128,311
C2.D8.19C4 = D85C8φ: C4/C2C2 ⊆ Out C2.D864C2.D8.19C4128,312
C2.D8.20C4 = C8.M4(2)φ: C4/C2C2 ⊆ Out C2.D8128C2.D8.20C4128,325
C2.D8.21C4 = C83M4(2)φ: C4/C2C2 ⊆ Out C2.D864C2.D8.21C4128,326
C2.D8.22C4 = C8×D8φ: trivial image64C2.D8.22C4128,307
C2.D8.23C4 = C8×Q16φ: trivial image128C2.D8.23C4128,309

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