Extensions 1→N→G→Q→1 with N=Dic29 and Q=C22

Direct product G=N×Q with N=Dic29 and Q=C22
dρLabelID
C22×Dic29464C2^2xDic29464,43

Semidirect products G=N:Q with N=Dic29 and Q=C22
extensionφ:Q→Out NdρLabelID
Dic291C22 = D4×D29φ: C22/C2C2 ⊆ Out Dic291164+Dic29:1C2^2464,39
Dic292C22 = C2×C29⋊D4φ: C22/C2C2 ⊆ Out Dic29232Dic29:2C2^2464,44
Dic293C22 = C2×C4×D29φ: trivial image232Dic29:3C2^2464,36

Non-split extensions G=N.Q with N=Dic29 and Q=C22
extensionφ:Q→Out NdρLabelID
Dic29.1C22 = C2×Dic58φ: C22/C2C2 ⊆ Out Dic29464Dic29.1C2^2464,35
Dic29.2C22 = D1165C2φ: C22/C2C2 ⊆ Out Dic292322Dic29.2C2^2464,38
Dic29.3C22 = Q8×D29φ: C22/C2C2 ⊆ Out Dic292324-Dic29.3C2^2464,41
Dic29.4C22 = D29⋊C8φ: C22/C2C2 ⊆ Out Dic292324Dic29.4C2^2464,28
Dic29.5C22 = C116.C4φ: C22/C2C2 ⊆ Out Dic292324Dic29.5C2^2464,29
Dic29.6C22 = C2×C29⋊C8φ: C22/C2C2 ⊆ Out Dic29464Dic29.6C2^2464,32
Dic29.7C22 = C29⋊M4(2)φ: C22/C2C2 ⊆ Out Dic292324-Dic29.7C2^2464,33
Dic29.8C22 = D42D29φ: trivial image2324-Dic29.8C2^2464,40
Dic29.9C22 = Q82D29φ: trivial image2324+Dic29.9C2^2464,42

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