Extensions 1→N→G→Q→1 with N=C56 and Q=C8

Direct product G=N×Q with N=C56 and Q=C8
dρLabelID
C8×C56448C8xC56448,125

Semidirect products G=N:Q with N=C56 and Q=C8
extensionφ:Q→Aut NdρLabelID
C561C8 = C561C8φ: C8/C4C2 ⊆ Aut C56448C56:1C8448,15
C562C8 = C562C8φ: C8/C4C2 ⊆ Aut C56448C56:2C8448,14
C563C8 = C8×C7⋊C8φ: C8/C4C2 ⊆ Aut C56448C56:3C8448,10
C564C8 = C56⋊C8φ: C8/C4C2 ⊆ Aut C56448C56:4C8448,12
C565C8 = C7×C81C8φ: C8/C4C2 ⊆ Aut C56448C56:5C8448,139
C566C8 = C7×C82C8φ: C8/C4C2 ⊆ Aut C56448C56:6C8448,138
C567C8 = C7×C8⋊C8φ: C8/C4C2 ⊆ Aut C56448C56:7C8448,126

Non-split extensions G=N.Q with N=C56 and Q=C8
extensionφ:Q→Aut NdρLabelID
C56.1C8 = C56.16Q8φ: C8/C4C2 ⊆ Aut C561122C56.1C8448,20
C56.2C8 = C7⋊C64φ: C8/C4C2 ⊆ Aut C564482C56.2C8448,1
C56.3C8 = C4×C7⋊C16φ: C8/C4C2 ⊆ Aut C56448C56.3C8448,17
C56.4C8 = C56.C8φ: C8/C4C2 ⊆ Aut C56448C56.4C8448,18
C56.5C8 = C2×C7⋊C32φ: C8/C4C2 ⊆ Aut C56448C56.5C8448,55
C56.6C8 = C7⋊M6(2)φ: C8/C4C2 ⊆ Aut C562242C56.6C8448,56
C56.7C8 = C7×C8.C8φ: C8/C4C2 ⊆ Aut C561122C56.7C8448,168
C56.8C8 = C7×C165C4φ: C8/C4C2 ⊆ Aut C56448C56.8C8448,150
C56.9C8 = C7×M6(2)φ: C8/C4C2 ⊆ Aut C562242C56.9C8448,174

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