〈a, b | aaa=1, aabbbbab=1〉

Monoid presentation of length 11

Properties

Finite non-Abelian group with 195 elements

Completion parameters

Reduction order: right-to-left b/a

Inverses of generators

a^-1 = a²
b^-1 = b⁶⁴

Complete rewriting system

b⁶⁵ ⇒ 1
ab ⇒ b⁶¹a
a³ ⇒ 1

Right Cayley graph

Left Cayley graph

Others with same cardinality

2 unique, 4 total

Length:	Presentation:	Description:	Related:
10	〈a, b \| aaa=1, babbbb=a〉	Finite non-Abelian group with 195 elements
11	〈a, b \| aaa=1, aababbbb=1〉	Finite non-Abelian group with 195 elements	2 anti-isomorphic

Other anti-isomorphic instances

4 total

Length:	Presentation:
11	〈a, b \| aaa=1, ababbbba=1〉
11	〈a, b \| aaa=1, abbbbaab=1〉
11	〈a, b \| aaa=1, baababbb=1〉
11	〈a, b \| aaa=1, bbaababb=1〉