Order = 3732063900024176640 = 235.38.5.7.11.43.
Mult = 1.
Out = 2.


Porting notes

Porting incomplete.

Standard generators

Standard generators of 214.U7(2) are a, b where a is in class 2C, b has order 7 and ab has order 33.

Notes


Presentations

Group Presentation Link
214.U7(2) a, b | a2 = b7 = (ab)33 = [a,b]3 = [a,b2]3 = [a,b3]3 = [a,bab]2 = [a,b2ab2]2 = [a,bab2]3 = (abab3abab−2ab−2)6 = 1 〉 Details

Representations

Representations of 214.U7(2)


Miscellaneous Notes

Group Category Note
214.U7(2) Bibliographic reference. As far as we know, this group was discovered by J.I.Hall. He also discovered its 3-­transposition property.