Subgroup structure of special linear group:SL(2,9)

This article gives specific information, namely, subgroup structure, about a particular group, namely: special linear group:SL(2,9).
View subgroup structure of particular groups | View other specific information about special linear group:SL(2,9)

Summary

FACTS TO CHECK AGAINST FOR SUBGROUP STRUCTURE: (finite group)
Lagrange's theorem (order of subgroup times index of subgroup equals order of whole group, so both divide it), |order of quotient group divides order of group (and equals index of corresponding normal subgroup)
Sylow subgroups exist, Sylow implies order-dominating, congruence condition on Sylow numbers|congruence condition on number of subgroups of given prime power order
normal Hall implies permutably complemented, Hall retract implies order-conjugate

Quick summary

Item	Value
number of subgroups	588
number of conjugacy classes of subgroups	27
number of automorphism classes of subgroups	PLACEHOLDER FOR INFORMATION TO BE FILLED IN: [SHOW MORE] One of the people editing this page intended to fill in this information at a later stage, but hasn't gotten around to doing it yet. If you see this placeholder for a long time, file an error report at the error reporting page.