Order = 227787103272960 = 221.38.5.7.11.43.
Mult = 1.
Out = 2.


Porting notes

Porting incomplete.

Standard generators

Standard generators of U7(2) are a, b where a is in class 2A, b has order 7, ab has order 33 and abb has order 45.


Presentations

Group Presentation Link
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 = (abab−3ab−3)8 = 1 〉 Details

Representations

Representations of U7(2)


Maximal subgroups

Maximal subgroups of U7(2)

Subgroup Order Index Programs/reps
21+10:(3 × U5(2)) Program: Generators
3.U6(2).3 Program: Generators
29+6:3.L3(4).3
24+12.(A5 × 31+2:2A4)
3 × S3 × U5(2)
31+2:2A4 × U4(2)
36:S7 Program: Generators
43:7 = F301