# Extensions 1→N→G→Q→1 with N=Dic21 and Q=C22

Direct product G=N×Q with N=Dic21 and Q=C22
dρLabelID
C22×Dic21336C2^2xDic21336,202

Semidirect products G=N:Q with N=Dic21 and Q=C22
extensionφ:Q→Out NdρLabelID
Dic211C22 = D7×C3⋊D4φ: C22/C1C22 ⊆ Out Dic21844Dic21:1C2^2336,161
Dic212C22 = S3×C7⋊D4φ: C22/C1C22 ⊆ Out Dic21844Dic21:2C2^2336,162
Dic213C22 = D4×D21φ: C22/C2C2 ⊆ Out Dic21844+Dic21:3C2^2336,198
Dic214C22 = C2×C217D4φ: C22/C2C2 ⊆ Out Dic21168Dic21:4C2^2336,203
Dic215C22 = C4×S3×D7φ: C22/C2C2 ⊆ Out Dic21844Dic21:5C2^2336,147
Dic216C22 = C28⋊D6φ: C22/C2C2 ⊆ Out Dic21844Dic21:6C2^2336,150
Dic217C22 = C2×Dic3×D7φ: C22/C2C2 ⊆ Out Dic21168Dic21:7C2^2336,151
Dic218C22 = C2×S3×Dic7φ: C22/C2C2 ⊆ Out Dic21168Dic21:8C2^2336,154
Dic219C22 = C2×C21⋊D4φ: C22/C2C2 ⊆ Out Dic21168Dic21:9C2^2336,157
Dic2110C22 = C2×C4×D21φ: trivial image168Dic21:10C2^2336,195

Non-split extensions G=N.Q with N=Dic21 and Q=C22
extensionφ:Q→Out NdρLabelID
Dic21.1C22 = D7×Dic6φ: C22/C1C22 ⊆ Out Dic211684-Dic21.1C2^2336,137
Dic21.2C22 = D285S3φ: C22/C1C22 ⊆ Out Dic211684-Dic21.2C2^2336,138
Dic21.3C22 = S3×Dic14φ: C22/C1C22 ⊆ Out Dic211684-Dic21.3C2^2336,140
Dic21.4C22 = D125D7φ: C22/C1C22 ⊆ Out Dic211684-Dic21.4C2^2336,145
Dic21.5C22 = Dic7.D6φ: C22/C1C22 ⊆ Out Dic211684Dic21.5C2^2336,152
Dic21.6C22 = Dic3.D14φ: C22/C1C22 ⊆ Out Dic211684Dic21.6C2^2336,155
Dic21.7C22 = C2×Dic42φ: C22/C2C2 ⊆ Out Dic21336Dic21.7C2^2336,194
Dic21.8C22 = D8411C2φ: C22/C2C2 ⊆ Out Dic211682Dic21.8C2^2336,197
Dic21.9C22 = Q8×D21φ: C22/C2C2 ⊆ Out Dic211684-Dic21.9C2^2336,200
Dic21.10C22 = D28⋊S3φ: C22/C2C2 ⊆ Out Dic211684Dic21.10C2^2336,139
Dic21.11C22 = D12⋊D7φ: C22/C2C2 ⊆ Out Dic211684Dic21.11C2^2336,141
Dic21.12C22 = D21⋊Q8φ: C22/C2C2 ⊆ Out Dic211684Dic21.12C2^2336,143
Dic21.13C22 = D6.D14φ: C22/C2C2 ⊆ Out Dic211684Dic21.13C2^2336,144
Dic21.14C22 = C42.C23φ: C22/C2C2 ⊆ Out Dic211684-Dic21.14C2^2336,153
Dic21.15C22 = C2×C21⋊Q8φ: C22/C2C2 ⊆ Out Dic21336Dic21.15C2^2336,160
Dic21.16C22 = D42D21φ: trivial image1684-Dic21.16C2^2336,199
Dic21.17C22 = Q83D21φ: trivial image1684+Dic21.17C2^2336,201

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