# Extensions 1→N→G→Q→1 with N=C82 and Q=C2

Direct product G=N×Q with N=C82 and Q=C2
dρLabelID
C2×C82128C2xC8^2128,179

Semidirect products G=N:Q with N=C82 and Q=C2
extensionφ:Q→Aut NdρLabelID
C821C2 = C82⋊C2φ: C2/C1C2 ⊆ Aut C8264C8^2:1C2128,182
C822C2 = C822C2φ: C2/C1C2 ⊆ Aut C8264C8^2:2C2128,186
C823C2 = C823C2φ: C2/C1C2 ⊆ Aut C8264C8^2:3C2128,443
C824C2 = C8×D8φ: C2/C1C2 ⊆ Aut C8264C8^2:4C2128,307
C825C2 = C825C2φ: C2/C1C2 ⊆ Aut C8264C8^2:5C2128,441
C826C2 = C84D8φ: C2/C1C2 ⊆ Aut C8264C8^2:6C2128,444
C827C2 = C85D8φ: C2/C1C2 ⊆ Aut C8264C8^2:7C2128,438
C828C2 = C8≀C2φ: C2/C1C2 ⊆ Aut C82162C8^2:8C2128,67
C829C2 = C86D8φ: C2/C1C2 ⊆ Aut C8264C8^2:9C2128,321
C8210C2 = C8×SD16φ: C2/C1C2 ⊆ Aut C8264C8^2:10C2128,308
C8211C2 = C88SD16φ: C2/C1C2 ⊆ Aut C8264C8^2:11C2128,437
C8212C2 = C8212C2φ: C2/C1C2 ⊆ Aut C8264C8^2:12C2128,440
C8213C2 = C89SD16φ: C2/C1C2 ⊆ Aut C8264C8^2:13C2128,322
C8214C2 = C8×M4(2)φ: C2/C1C2 ⊆ Aut C8264C8^2:14C2128,181
C8215C2 = C8215C2φ: C2/C1C2 ⊆ Aut C8264C8^2:15C2128,185
C8216C2 = C86M4(2)φ: C2/C1C2 ⊆ Aut C8264C8^2:16C2128,187

Non-split extensions G=N.Q with N=C82 and Q=C2
extensionφ:Q→Aut NdρLabelID
C82.1C2 = C165C8φ: C2/C1C2 ⊆ Aut C82128C8^2.1C2128,43
C82.2C2 = C8.36D8φ: C2/C1C2 ⊆ Aut C82128C8^2.2C2128,102
C82.3C2 = C8×Q16φ: C2/C1C2 ⊆ Aut C82128C8^2.3C2128,309
C82.4C2 = C8.7Q16φ: C2/C1C2 ⊆ Aut C82128C8^2.4C2128,442
C82.5C2 = C84Q16φ: C2/C1C2 ⊆ Aut C82128C8^2.5C2128,445
C82.6C2 = C85Q16φ: C2/C1C2 ⊆ Aut C82128C8^2.6C2128,439
C82.7C2 = C86Q16φ: C2/C1C2 ⊆ Aut C82128C8^2.7C2128,323
C82.8C2 = C82C16φ: C2/C1C2 ⊆ Aut C82128C8^2.8C2128,99
C82.9C2 = C8⋊C16φ: C2/C1C2 ⊆ Aut C82128C8^2.9C2128,44

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