Extensions 1→N→G→Q→1 with N=C55 and Q=C8

Direct product G=N×Q with N=C55 and Q=C8
dρLabelID
C4404401C440440,6

Semidirect products G=N:Q with N=C55 and Q=C8
extensionφ:Q→Aut NdρLabelID
C551C8 = C55⋊C8φ: C8/C2C4 ⊆ Aut C554404C55:1C8440,16
C552C8 = C11×C5⋊C8φ: C8/C2C4 ⊆ Aut C554404C55:2C8440,15
C553C8 = C553C8φ: C8/C4C2 ⊆ Aut C554402C55:3C8440,5
C554C8 = C5×C11⋊C8φ: C8/C4C2 ⊆ Aut C554402C55:4C8440,4
C555C8 = C11×C52C8φ: C8/C4C2 ⊆ Aut C554402C55:5C8440,3


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