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Extensions 1→N→G→Q→1 with N=C4⋊C8 and Q=C4

Direct product G=N×Q with N=C4⋊C8 and Q=C4
dρLabelID
C4×C4⋊C8128C4xC4:C8128,498

Semidirect products G=N:Q with N=C4⋊C8 and Q=C4
extensionφ:Q→Out NdρLabelID
C4⋊C8⋊1C4 = C42.4Q8φ: C4/C1 → C4 ⊆ Out C4⋊C832C4:C8:1C4128,17
C4⋊C8⋊2C4 = C42.5Q8φ: C4/C1 → C4 ⊆ Out C4⋊C832C4:C8:2C4128,18
C4⋊C8⋊3C4 = C42.9Q8φ: C4/C1 → C4 ⊆ Out C4⋊C832C4:C8:3C4128,32
C4⋊C8⋊4C4 = C42.10Q8φ: C4/C1 → C4 ⊆ Out C4⋊C832C4:C8:4C4128,35
C4⋊C8⋊5C4 = C42⋊6C8φ: C4/C2 → C2 ⊆ Out C4⋊C832C4:C8:5C4128,8
C4⋊C8⋊6C4 = C42.46Q8φ: C4/C2 → C2 ⊆ Out C4⋊C8128C4:C8:6C4128,11
C4⋊C8⋊7C4 = C42.8Q8φ: C4/C2 → C2 ⊆ Out C4⋊C8128C4:C8:7C4128,28
C4⋊C8⋊8C4 = C42.29Q8φ: C4/C2 → C2 ⊆ Out C4⋊C8128C4:C8:8C4128,679
C4⋊C8⋊9C4 = C42.31Q8φ: C4/C2 → C2 ⊆ Out C4⋊C8128C4:C8:9C4128,681
C4⋊C8⋊10C4 = C42.30Q8φ: C4/C2 → C2 ⊆ Out C4⋊C8128C4:C8:10C4128,680
C4⋊C8⋊11C4 = C43.7C2φ: C4/C2 → C2 ⊆ Out C4⋊C8128C4:C8:11C4128,499
C4⋊C8⋊12C4 = C42.45Q8φ: C4/C2 → C2 ⊆ Out C4⋊C8128C4:C8:12C4128,500
C4⋊C8⋊13C4 = C4⋊C8⋊13C4φ: C4/C2 → C2 ⊆ Out C4⋊C8128C4:C8:13C4128,502
C4⋊C8⋊14C4 = C4⋊C8⋊14C4φ: C4/C2 → C2 ⊆ Out C4⋊C8128C4:C8:14C4128,503
C4⋊C8⋊15C4 = C8×C4⋊C4φ: trivial image128C4:C8:15C4128,501

Non-split extensions G=N.Q with N=C4⋊C8 and Q=C4
extensionφ:Q→Out NdρLabelID
C4⋊C8.1C4 = C42.26D4φ: C4/C1 → C4 ⊆ Out C4⋊C864C4:C8.1C4128,23
C4⋊C8.2C4 = C42.27D4φ: C4/C1 → C4 ⊆ Out C4⋊C864C4:C8.2C4128,24
C4⋊C8.3C4 = C42.370D4φ: C4/C1 → C4 ⊆ Out C4⋊C864C4:C8.3C4128,34
C4⋊C8.4C4 = C8.31D8φ: C4/C1 → C4 ⊆ Out C4⋊C864C4:C8.4C4128,62
C4⋊C8.5C4 = C8.17Q16φ: C4/C1 → C4 ⊆ Out C4⋊C8128C4:C8.5C4128,70
C4⋊C8.6C4 = C42.385D4φ: C4/C2 → C2 ⊆ Out C4⋊C8128C4:C8.6C4128,9
C4⋊C8.7C4 = M4(2)⋊C8φ: C4/C2 → C2 ⊆ Out C4⋊C864C4:C8.7C4128,10
C4⋊C8.8C4 = C42.388D4φ: C4/C2 → C2 ⊆ Out C4⋊C864C4:C8.8C4128,31
C4⋊C8.9C4 = C42.389D4φ: C4/C2 → C2 ⊆ Out C4⋊C864C4:C8.9C4128,33
C4⋊C8.10C4 = D4⋊C16φ: C4/C2 → C2 ⊆ Out C4⋊C864C4:C8.10C4128,61
C4⋊C8.11C4 = Q8⋊C16φ: C4/C2 → C2 ⊆ Out C4⋊C8128C4:C8.11C4128,69
C4⋊C8.12C4 = C42.91D4φ: C4/C2 → C2 ⊆ Out C4⋊C864C4:C8.12C4128,303
C4⋊C8.13C4 = C42.21Q8φ: C4/C2 → C2 ⊆ Out C4⋊C864C4:C8.13C4128,306
C4⋊C8.14C4 = C42.Q8φ: C4/C2 → C2 ⊆ Out C4⋊C864C4:C8.14C4128,304
C4⋊C8.15C4 = C42.92D4φ: C4/C2 → C2 ⊆ Out C4⋊C864C4:C8.15C4128,305
C4⋊C8.16C4 = C42.430D4φ: C4/C2 → C2 ⊆ Out C4⋊C864C4:C8.16C4128,682
C4⋊C8.17C4 = C42.90D4φ: C4/C2 → C2 ⊆ Out C4⋊C864C4:C8.17C4128,302
C4⋊C8.18C4 = C8⋊9M4(2)φ: C4/C2 → C2 ⊆ Out C4⋊C864C4:C8.18C4128,183
C4⋊C8.19C4 = C23.27C42φ: C4/C2 → C2 ⊆ Out C4⋊C864C4:C8.19C4128,184
C4⋊C8.20C4 = C82⋊15C2φ: C4/C2 → C2 ⊆ Out C4⋊C864C4:C8.20C4128,185
C4⋊C8.21C4 = C82⋊2C2φ: C4/C2 → C2 ⊆ Out C4⋊C864C4:C8.21C4128,186
C4⋊C8.22C4 = C16⋊9D4φ: C4/C2 → C2 ⊆ Out C4⋊C864C4:C8.22C4128,900
C4⋊C8.23C4 = C16⋊6D4φ: C4/C2 → C2 ⊆ Out C4⋊C864C4:C8.23C4128,901
C4⋊C8.24C4 = C16⋊4Q8φ: C4/C2 → C2 ⊆ Out C4⋊C8128C4:C8.24C4128,915
C4⋊C8.25C4 = C8×M4(2)φ: trivial image64C4:C8.25C4128,181
C4⋊C8.26C4 = C82⋊C2φ: trivial image64C4:C8.26C4128,182
C4⋊C8.27C4 = D4×C16φ: trivial image64C4:C8.27C4128,899
C4⋊C8.28C4 = Q8×C16φ: trivial image128C4:C8.28C4128,914

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