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Extensions 1→N→G→Q→1 with N=D10⋊C4 and Q=C2

Direct product G=N×Q with N=D10⋊C4 and Q=C2
dρLabelID
C2×D10⋊C480C2xD10:C4160,148

Semidirect products G=N:Q with N=D10⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
D10⋊C4⋊1C2 = C4.D20φ: C2/C1 → C2 ⊆ Out D10⋊C480D10:C4:1C2160,96
D10⋊C4⋊2C2 = C23.23D10φ: C2/C1 → C2 ⊆ Out D10⋊C480D10:C4:2C2160,150
D10⋊C4⋊3C2 = C20⋊7D4φ: C2/C1 → C2 ⊆ Out D10⋊C480D10:C4:3C2160,151
D10⋊C4⋊4C2 = C22⋊D20φ: C2/C1 → C2 ⊆ Out D10⋊C440D10:C4:4C2160,103
D10⋊C4⋊5C2 = D10.12D4φ: C2/C1 → C2 ⊆ Out D10⋊C480D10:C4:5C2160,104
D10⋊C4⋊6C2 = Dic5.5D4φ: C2/C1 → C2 ⊆ Out D10⋊C480D10:C4:6C2160,106
D10⋊C4⋊7C2 = C22.D20φ: C2/C1 → C2 ⊆ Out D10⋊C480D10:C4:7C2160,107
D10⋊C4⋊8C2 = C4⋊D20φ: C2/C1 → C2 ⊆ Out D10⋊C480D10:C4:8C2160,116
D10⋊C4⋊9C2 = D5×C22⋊C4φ: C2/C1 → C2 ⊆ Out D10⋊C440D10:C4:9C2160,101
D10⋊C4⋊10C2 = Dic5⋊4D4φ: C2/C1 → C2 ⊆ Out D10⋊C480D10:C4:10C2160,102
D10⋊C4⋊11C2 = D10⋊D4φ: C2/C1 → C2 ⊆ Out D10⋊C480D10:C4:11C2160,105
D10⋊C4⋊12C2 = D20⋊8C4φ: C2/C1 → C2 ⊆ Out D10⋊C480D10:C4:12C2160,114
D10⋊C4⋊13C2 = D10.13D4φ: C2/C1 → C2 ⊆ Out D10⋊C480D10:C4:13C2160,115
D10⋊C4⋊14C2 = C23⋊D10φ: C2/C1 → C2 ⊆ Out D10⋊C440D10:C4:14C2160,158
D10⋊C4⋊15C2 = Dic5⋊D4φ: C2/C1 → C2 ⊆ Out D10⋊C480D10:C4:15C2160,160
D10⋊C4⋊16C2 = C20.23D4φ: C2/C1 → C2 ⊆ Out D10⋊C480D10:C4:16C2160,168
D10⋊C4⋊17C2 = C4×D20φ: trivial image80D10:C4:17C2160,94
D10⋊C4⋊18C2 = C4×C5⋊D4φ: trivial image80D10:C4:18C2160,149

Non-split extensions G=N.Q with N=D10⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
D10⋊C4.1C2 = C42⋊2D5φ: C2/C1 → C2 ⊆ Out D10⋊C480D10:C4.1C2160,97
D10⋊C4.2C2 = D10⋊Q8φ: C2/C1 → C2 ⊆ Out D10⋊C480D10:C4.2C2160,117
D10⋊C4.3C2 = D10⋊2Q8φ: C2/C1 → C2 ⊆ Out D10⋊C480D10:C4.3C2160,118
D10⋊C4.4C2 = C4⋊C4⋊7D5φ: C2/C1 → C2 ⊆ Out D10⋊C480D10:C4.4C2160,113
D10⋊C4.5C2 = C4⋊C4⋊D5φ: C2/C1 → C2 ⊆ Out D10⋊C480D10:C4.5C2160,119
D10⋊C4.6C2 = D10⋊3Q8φ: C2/C1 → C2 ⊆ Out D10⋊C480D10:C4.6C2160,167
D10⋊C4.7C2 = C42⋊D5φ: trivial image80D10:C4.7C2160,93

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