Extensions 1→N→G→Q→1 with N=Dic53 and Q=C2

Direct product G=N×Q with N=Dic53 and Q=C2
dρLabelID
C2×Dic53424C2xDic53424,7

Semidirect products G=N:Q with N=Dic53 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic53⋊C2 = C53⋊D4φ: C2/C1C2 ⊆ Out Dic532122Dic53:C2424,8
Dic532C2 = C4×D53φ: trivial image2122Dic53:2C2424,5

Non-split extensions G=N.Q with N=Dic53 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic53.1C2 = Dic106φ: C2/C1C2 ⊆ Out Dic534242-Dic53.1C2424,4
Dic53.2C2 = C53⋊C8φ: C2/C1C2 ⊆ Out Dic534244-Dic53.2C2424,3

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