Extensions 1→N→G→Q→1 with N=Dic22 and Q=C22

Direct product G=N×Q with N=Dic22 and Q=C22
dρLabelID
C22×Dic22352C2^2xDic22352,173

Semidirect products G=N:Q with N=Dic22 and Q=C22
extensionφ:Q→Out NdρLabelID
Dic221C22 = D4⋊D22φ: C22/C1C22 ⊆ Out Dic22884Dic22:1C2^2352,106
Dic222C22 = SD16×D11φ: C22/C1C22 ⊆ Out Dic22884Dic22:2C2^2352,108
Dic223C22 = C2×C8⋊D11φ: C22/C2C2 ⊆ Out Dic22176Dic22:3C2^2352,97
Dic224C22 = C8⋊D22φ: C22/C2C2 ⊆ Out Dic22884+Dic22:4C2^2352,103
Dic225C22 = D446C22φ: C22/C2C2 ⊆ Out Dic22884Dic22:5C2^2352,127
Dic226C22 = C2×D4.D11φ: C22/C2C2 ⊆ Out Dic22176Dic22:6C2^2352,128
Dic227C22 = C2×D42D11φ: C22/C2C2 ⊆ Out Dic22176Dic22:7C2^2352,178
Dic228C22 = D46D22φ: C22/C2C2 ⊆ Out Dic22884Dic22:8C2^2352,179
Dic229C22 = C2×Q8×D11φ: C22/C2C2 ⊆ Out Dic22176Dic22:9C2^2352,180
Dic2210C22 = C4○D4×D11φ: C22/C2C2 ⊆ Out Dic22884Dic22:10C2^2352,183
Dic2211C22 = C2×D445C2φ: trivial image176Dic22:11C2^2352,176
Dic2212C22 = D48D22φ: trivial image884+Dic22:12C2^2352,184

Non-split extensions G=N.Q with N=Dic22 and Q=C22
extensionφ:Q→Out NdρLabelID
Dic22.1C22 = D83D11φ: C22/C1C22 ⊆ Out Dic221764-Dic22.1C2^2352,107
Dic22.2C22 = D4.D22φ: C22/C1C22 ⊆ Out Dic221764-Dic22.2C2^2352,110
Dic22.3C22 = Q8.D22φ: C22/C1C22 ⊆ Out Dic221764Dic22.3C2^2352,111
Dic22.4C22 = Q16×D11φ: C22/C1C22 ⊆ Out Dic221764-Dic22.4C2^2352,112
Dic22.5C22 = Q16⋊D11φ: C22/C1C22 ⊆ Out Dic221764Dic22.5C2^2352,113
Dic22.6C22 = D887C2φ: C22/C2C2 ⊆ Out Dic221762Dic22.6C2^2352,99
Dic22.7C22 = C2×Dic44φ: C22/C2C2 ⊆ Out Dic22352Dic22.7C2^2352,100
Dic22.8C22 = C8.D22φ: C22/C2C2 ⊆ Out Dic221764-Dic22.8C2^2352,104
Dic22.9C22 = C44.C23φ: C22/C2C2 ⊆ Out Dic221764Dic22.9C2^2352,137
Dic22.10C22 = C2×C11⋊Q16φ: C22/C2C2 ⊆ Out Dic22352Dic22.10C2^2352,138
Dic22.11C22 = D4.8D22φ: C22/C2C2 ⊆ Out Dic221764Dic22.11C2^2352,145
Dic22.12C22 = D4.9D22φ: C22/C2C2 ⊆ Out Dic221764-Dic22.12C2^2352,146
Dic22.13C22 = Q8.10D22φ: C22/C2C2 ⊆ Out Dic221764Dic22.13C2^2352,182
Dic22.14C22 = D4.10D22φ: C22/C2C2 ⊆ Out Dic221764-Dic22.14C2^2352,185

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