Extensions 1→N→G→Q→1 with N=Dic29 and Q=C4

Direct product G=N×Q with N=Dic29 and Q=C4
dρLabelID
C4×Dic29464C4xDic29464,11

Semidirect products G=N:Q with N=Dic29 and Q=C4
extensionφ:Q→Out NdρLabelID
Dic291C4 = C58.D4φ: C4/C2C2 ⊆ Out Dic29464Dic29:1C4464,12
Dic292C4 = C4×C29⋊C4φ: C4/C2C2 ⊆ Out Dic291164Dic29:2C4464,30
Dic293C4 = C116⋊C4φ: C4/C2C2 ⊆ Out Dic291164Dic29:3C4464,31

Non-split extensions G=N.Q with N=Dic29 and Q=C4
extensionφ:Q→Out NdρLabelID
Dic29.1C4 = C8⋊D29φ: C4/C2C2 ⊆ Out Dic292322Dic29.1C4464,5
Dic29.2C4 = C2×C29⋊C8φ: C4/C2C2 ⊆ Out Dic29464Dic29.2C4464,32
Dic29.3C4 = C29⋊M4(2)φ: C4/C2C2 ⊆ Out Dic292324-Dic29.3C4464,33
Dic29.4C4 = C8×D29φ: trivial image2322Dic29.4C4464,4

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