Bol Loops of Order 16 with Centre of Order 4
As part of my enumeration of Bol loops of order 16,
here I list just those which are non-associative
with |Z(L)|=4. This list, with 46 entries, is exhaustive.
Please see the parent page for notation, including
my conventions for naming of loops and table entries.
I would appreciate an email
message (
) from you if you have any comments regarding this list.
- 16 loops with |I(L)|=3 and |C(L)|=4:
16.3.4.0,
16.3.4.1,
16.3.4.2,
16.3.4.3,
16.3.4.4,
16.3.4.5,
16.3.4.6,
16.3.4.7,
16.3.4.12,
16.3.4.13,
16.3.4.14,
16.3.4.15,
16.3.4.16,
16.3.4.17,
16.3.4.24,
16.3.4.25;
- 5 loops with |I(L)|=3 and |C(L)|=8:
16.3.8.0,
16.3.8.1,
16.3.8.2,
16.3.8.3,
16.3.8.4;
- 14 loops with |I(L)|=7 and |C(L)|=4:
16.7.4.0,
16.7.4.1,
16.7.4.6,
16.7.4.7,
16.7.4.8,
16.7.4.9,
16.7.4.10,
16.7.4.11,
16.7.4.12,
16.7.4.13,
16.7.4.14,
16.7.4.15,
16.7.4.61,
16.7.4.75;
- 3 loops with |I(L)|=7 and |C(L)|=8:
16.7.8.0,
16.7.8.1,
16.7.8.2;
- 4 loops with |I(L)|=11 and |C(L)|=4:
16.11.4.0,
16.11.4.1,
16.11.4.2,
16.11.4.3;
- 2 loops with |I(L)|=11 and |C(L)|=8:
16.11.8.0,
16.11.8.1; and
- 2 loops with |I(L)|=15 and |C(L)|=4:
16.15.4.0,
16.15.4.1.
/
revised November, 2001