Finite Group Databasebeta

← #14919934

Subgroups — #14919934

Order 2816.

2488 conjugacy classes of subgroups.

The subgroup lattice has 1664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623125C211yesmaximal, characteristic
2#13071789C211yesmaximal, characteristic, complemented
3#13071786C211yesmaximal, characteristic, complemented
4#13071785C211yesmaximal, characteristic, complemented
5#13071690C211yesmaximal, characteristic, complemented
6#13071689C211yesmaximal, characteristic, complemented
7#13071686C211yesmaximal, characteristic, complemented
8#13071684C211yesmaximal, characteristic, complemented
9#13071682C211yesmaximal, characteristic, complemented
10#13071682C211yesmaximal, characteristic, complemented
11#13071600C211yesmaximal, characteristic, complemented
12#13071597C211yesmaximal, characteristic, complemented
13#13071596C211yesmaximal, characteristic, complemented
14#13071595C211yesmaximal, characteristic, complemented
15#13071595C211yesmaximal, characteristic, complemented
16#13071593C211yesmaximal, characteristic, complemented
17#13071427C211yesmaximal, characteristic, complemented
18#13071425C211yesmaximal, characteristic, complemented
19#13071425C211yesmaximal, characteristic, complemented
20#13071424C211yesmaximal, characteristic, complemented
21#13071423C211yesmaximal, characteristic, complemented
22#13071423C211yesmaximal, characteristic, complemented
23#13071279C211yesmaximal, characteristic, complemented
24#13071275C211yesmaximal, characteristic, complemented
25#13071272C211yesmaximal, characteristic, complemented
26#13071271C211yesmaximal, characteristic, complemented
27#13071271C211yesmaximal, characteristic, complemented
28#13071163C211yesmaximal, characteristic, complemented
29#13071157C211yesmaximal, characteristic, complemented
30C4×#66938C211yesmaximal, characteristic, complemented
31C11×#2321C211yesmaximal, characteristic, complemented
32C2×C11×#120C2211yescharacteristic
33C2×C4×D4×C11C2211yescharacteristic
34C22×C11×C22⋊C4C2211yescharacteristic, complemented
35C2×#67006C2211yescharacteristic
36C2×#67006C2211yescharacteristic
37C22×C22⋊Dic11C2211yescharacteristic, complemented
38C22×C22⋊Dic11C2211yescharacteristic, complemented
39C2×#66990C2211yescharacteristic
40C2×#66990C2211yescharacteristic
41C2×#66990C2211yescharacteristic
42C2×#66989C2211yescharacteristic
43C2×#66989C2211yescharacteristic
44C2×#66989C2211yescharacteristic
45C2×D4×Dic11C2211yescharacteristic
46C2×D4×Dic11C2211yescharacteristic
47C2×C4×C22⋊D11C2211yescharacteristic
48C2×C4×C22⋊D11C2211yescharacteristic
49C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
50#10623125C4116yescomplemented
51C2×#66940C2211yescharacteristic, complemented
52C2×#66940C2211yescharacteristic, complemented
53C2×#66938C2211yescharacteristic
54C2×#66938C2211yescharacteristic
55C2×#66938C2211yescharacteristic
56C2×#66938C2211yescharacteristic
57C2×#66938C2211yescharacteristic
58C2×#66938C2211yescharacteristic
59C2×(C22⋊D11)⋊C4C2211yescharacteristic
60C2×(C22⋊D11)⋊C4C2211yescharacteristic
61C2×(C22⋊D11)⋊C4C2211yescharacteristic
62C2×(C22⋊D11)⋊C4C2211yescharacteristic
63C2×C22⋊C4×D11C2211yescharacteristic, complemented
64C2×C22⋊C4×D11C2211yescharacteristic, complemented
65C2×C4×Dic22C2211yescharacteristic, complemented
66C11×#390C2211yescharacteristic
67C11×#390C2211yescharacteristic
68C11×#388C2211yescharacteristic, complemented
69C11×#388C2211yescharacteristic, complemented
70C11×#388C2211yescharacteristic, complemented
71C11×#388C2211yescharacteristic, complemented
72C11×#386C2211yescharacteristic
73C11×#386C2211yescharacteristic
74C11×#386C2211yescharacteristic
75C11×#385C2211yescharacteristic, complemented
76C11×#379C2211yescharacteristic, complemented
77C4×C11×C22⋊C4C2211yescharacteristic, complemented
78#10622834C2211yescharacteristic
79#10622833C2211yescharacteristic
80#10622833C2211yescharacteristic
81#10622833C2211yescharacteristic
82#10622826C2211yescharacteristic
83#10622826C2211yescharacteristic
84#10622823C2211yescharacteristic, complemented
85#10622823C2211yescharacteristic, complemented
86#10622823C2211yescharacteristic, complemented
87#10622823C2211yescharacteristic, complemented
88C4×C22⋊Dic11C2211yescharacteristic, complemented
89C4×C22⋊Dic11C2211yescharacteristic, complemented
90C4×C22⋊Dic11C2211yescharacteristic, complemented
91#10622603C2211yescharacteristic, complemented
92#10622603C2211yescharacteristic, complemented
93#10622602C2211yescharacteristic, complemented
94#10622602C2211yescharacteristic, complemented
95#10622602C2211yescharacteristic, complemented
96#10622602C2211yescharacteristic, complemented
97#10622590C2211yescharacteristic, complemented
98C4⋊C4×Dic11C2211yescharacteristic, complemented
99C4⋊C4×Dic11C2211yescharacteristic, complemented
100#10622587C2211yescharacteristic, complemented
101#10622571C2211yescharacteristic
102#10622571C2211yescharacteristic
103#10622571C2211yescharacteristic
104#10622571C2211yescharacteristic
105#10622570C2211yescharacteristic
106#10622570C2211yescharacteristic
107#10622570C2211yescharacteristic
108#10622570C2211yescharacteristic
109#10622570C2211yescharacteristic
110#10622570C2211yescharacteristic
111#10622569C2211yescharacteristic
112#10622569C2211yescharacteristic
113#10622569C2211yescharacteristic
114#10622569C2211yescharacteristic
115#10622569C2211yescharacteristic
116#10622569C2211yescharacteristic
117#10622568C2211yescharacteristic, complemented
118#10622564C2211yescharacteristic, complemented
119#10622564C2211yescharacteristic, complemented
120#10622563C2211yescharacteristic, complemented
121#10622563C2211yescharacteristic, complemented
122#10622559C2211yescharacteristic, complemented
123#10622559C2211yescharacteristic, complemented
124#10622559C2211yescharacteristic, complemented
125#10622559C2211yescharacteristic, complemented
126#10622559C2211yescharacteristic, complemented
127#10622558C2211yescharacteristic, complemented
128#10622558C2211yescharacteristic, complemented
129#10622558C2211yescharacteristic, complemented
130#10622558C2211yescharacteristic, complemented
131#10622558C2211yescharacteristic, complemented
132#10622558C2211yescharacteristic, complemented
133#10622558C2211yescharacteristic, complemented
134#10622558C2211yescharacteristic, complemented
135#10622557C2211yescharacteristic, complemented
136#10622557C2211yescharacteristic, complemented
137#10622557C2211yescharacteristic, complemented
138#10622557C2211yescharacteristic, complemented
139#10622557C2211yescharacteristic, complemented
140#10622557C2211yescharacteristic, complemented
141#10622557C2211yescharacteristic, complemented
142#10622557C2211yescharacteristic, complemented
143#10622557C2211yescharacteristic, complemented
144#10622557C2211yescharacteristic, complemented
145C22⋊C4×Dic11C2211yescharacteristic, complemented
146C22⋊C4×Dic11C2211yescharacteristic, complemented
147C22⋊C4×Dic11C2211yescharacteristic, complemented
148C22⋊C4×Dic11C2211yescharacteristic, complemented
149C22⋊C4×Dic11C2211yescharacteristic, complemented
150C22⋊C4×Dic11C2211yescharacteristic, complemented
151C22⋊C4×Dic11C2211yescharacteristic, complemented
152C22⋊C4×Dic11C2211yescharacteristic, complemented
153#10622553C2211yescharacteristic, complemented
154#10622553C2211yescharacteristic, complemented
155C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
156C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
157C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
158C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
159C4×Dic11⋊C4C2211yescharacteristic, complemented
160C4×Dic11⋊C4C2211yescharacteristic, complemented
161C42×Dic11C2211yescharacteristic, complemented
162#10622542C2211yescharacteristic, complemented
163#10622542C2211yescharacteristic, complemented
164#10622283C2211yescharacteristic, complemented
165#10622283C2211yescharacteristic, complemented
166#10622283C2211yescharacteristic, complemented
167#10622283C2211yescharacteristic, complemented
168#10622282C2211yescharacteristic, complemented
169#10622282C2211yescharacteristic, complemented
170#10622282C2211yescharacteristic, complemented
171#10622282C2211yescharacteristic, complemented
172#10622281C2211yescharacteristic, complemented
173#10622281C2211yescharacteristic, complemented
174#10622279C2211yescharacteristic, complemented
175#10622279C2211yescharacteristic, complemented
176#10622264C2211yescharacteristic, complemented
177#10622264C2211yescharacteristic, complemented
178#10622263C2211yescharacteristic, complemented
179#10622263C2211yescharacteristic, complemented
180#10622262C2211yescharacteristic, complemented
181#10622262C2211yescharacteristic, complemented
182#10622259C2211yescharacteristic, complemented
183#10622259C2211yescharacteristic, complemented
184#10622259C2211yescharacteristic, complemented
185#10622259C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188C25×C11C2311yescharacteristic
189C24×D11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C23×Dic11C2311yescharacteristic
203C23×Dic11C2311yescharacteristic
204C23×Dic11C2311yescharacteristic
205C23×Dic11C2311yescharacteristic
206C23×Dic11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×Dic22C2311yescharacteristic
212C22×Dic22C2311yescharacteristic
213C22×Dic22C2311yescharacteristic
214C11×#120C2×C418yescomplemented
215C4×D4×C11—42no—
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4—42no—
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C42×C11C2311yescharacteristic
237C2×C42×C11C2311yescharacteristic
238C2×C42×C11C2311yescharacteristic
239#67006C2×C418yescomplemented
240#67006C2×C418yescomplemented
241C2×C22⋊Dic11—42no—
242C2×C22⋊Dic11—42no—
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260C2×C22⋊Dic11C2311yescharacteristic
261C2×C22⋊Dic11C2311yescharacteristic
262C2×C22⋊Dic11C2311yescharacteristic
263#66990C2×C418yescomplemented
264#66990C2×C418yescomplemented
265#66990C2×C418yescomplemented
266#66989C2×C418yescomplemented
267#66989C2×C418yescomplemented
268#66989C2×C418yescomplemented
269D4×Dic11—42no—
270D4×Dic11—42no—
271C4×C22⋊D11—42no—
272C4×C22⋊D11—42no—
273C2×(C2×D11)⋊C4—42no—
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2311yescharacteristic
280C2×(C2×D11)⋊C4C2311yescharacteristic
281C2×(C2×D11)⋊C4C2311yescharacteristic
282C2×(C2×D11)⋊C4C2311yescharacteristic
283C2×(C2×D11)⋊C4C2311yescharacteristic
284C2×(C2×D11)⋊C4C2311yescharacteristic
285C2×(C2×D11)⋊C4C2311yescharacteristic
286C2×(C2×D11)⋊C4C2311yescharacteristic
287C2×(C2×D11)⋊C4C2311yescharacteristic
288C2×(C2×D11)⋊C4C2311yescharacteristic
289C2×(C2×D11)⋊C4C2311yescharacteristic
290C2×(C2×D11)⋊C4C2311yescharacteristic
291C2×(C2×D11)⋊C4C2311yescharacteristic
292C2×C4⋊Dic11C2311yescharacteristic
293C2×C4⋊Dic11C2311yescharacteristic
294C2×C4⋊Dic11C2311yescharacteristic
295C2×Dic11⋊C4C2311yescharacteristic
296C2×Dic11⋊C4C2311yescharacteristic
297C2×Dic11⋊C4C2311yescharacteristic
298C2×Dic11⋊C4C2311yescharacteristic
299C2×Dic11⋊C4C2311yescharacteristic
300C2×Dic11⋊C4C2311yescharacteristic
301C2×Dic11⋊C4C2311yescharacteristic
302C2×Dic11⋊C4C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
304C2×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×Dic11⋊C4C2311yescharacteristic
307C2×C4×Dic11C2311yescharacteristic
308C2×C4×Dic11C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
310C2×C4×Dic11C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316C2×C4×Dic11C2311yescharacteristic
317C2×C4×Dic11C2311yescharacteristic
318C2×C4×Dic11C2311yescharacteristic
319C2×C4×Dic11C2311yescharacteristic
320C2×C4×Dic11C2311yescharacteristic
321C2×C4×Dic11C2311yescharacteristic
322C2×C4×Dic11C2311yescharacteristic
323C2×C4×Dic11C2311yescharacteristic
324C2×C4×Dic11C2311yescharacteristic
325#66940—42no—
326#66940—42no—
327#66938C2×C418yescomplemented
328#66938C2×C418yescomplemented
329#66938C2×C418yescomplemented
330#66938C2×C418yescomplemented
331#66938C2×C418yescomplemented
332#66938C2×C418yescomplemented
333(C22⋊D11)⋊C4—42no—
334(C22⋊D11)⋊C4—42no—
335(C22⋊D11)⋊C4—42no—
336(C22⋊D11)⋊C4—42no—
337C22⋊C4×D11—42no—
338C22⋊C4×D11—42no—
339C4×Dic22—42no—
340C11×#95C2311yescharacteristic
341C11×#95C2311yescharacteristic
342C11×#95C2311yescharacteristic
343C11×#95C2311yescharacteristic
344C11×#95C2311yescharacteristic
345C11×#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376#34529—111nomaximal, Sylow
377C24×C11—41no—
378C24×C11—41no—
379C24×C11—41no—
380C24×C11—41no—
381C24×C11—41no—
382C24×C11—41no—
383C24×C11C22×C414yes—
384C24×C11C2411yescharacteristic
385C24×C11C2411yescharacteristic
386C24×C11C2411yescharacteristic
387C24×C11C2411yescharacteristic
388C23×D11—41no—
389C23×D11—41no—
390C23×D11—41no—
391C23×D11—41no—
392C23×D11—41no—
393C23×D11—41no—
394C23×D11C22×C414yes—
395C23×D11C2411yescharacteristic
396C23×D11C2411yescharacteristic
397C2×D4×C11—41no—
398C2×D4×C11—41no—
399C2×D4×C11—41no—
400C2×D4×C11—41no—
401C2×D4×C11—41no—
402C2×D4×C11—41no—
403C2×D4×C11C22×C414yes—
404C2×D4×C11C22×C414yes—
405C2×D4×C11C22×C414yes—
406C22×C4×C11—22no—
407C22×C4×C11—41no—
408C22×C4×C11—41no—
409C22×C4×C11—41no—
410C22×C4×C11—41no—
411C22×C4×C11—41no—
412C22×C4×C11—41no—
413C22×C4×C11—41no—
414C22×C4×C11—41no—
415C22×C4×C11C2411yescharacteristic
416C22×C4×C11C2411yescharacteristic
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2411yescharacteristic
419C22×C4×C11C2411yescharacteristic
420C22×C4×C11C2411yescharacteristic
421C22×C4×C11C2411yescharacteristic
422C22×C4×C11C2411yescharacteristic
423C22×C4×C11C2411yescharacteristic
424C22×C4×C11C2411yescharacteristic
425C22×C4×C11C2411yescharacteristic
426C2×C22⋊D11—41no—
427C2×C22⋊D11—41no—
428C2×C22⋊D11—41no—
429C2×C22⋊D11—41no—
430C2×C22⋊D11—41no—
431C2×C22⋊D11—41no—
432C2×C22⋊D11—41no—
433C2×C22⋊D11—41no—
434C2×C22⋊D11—41no—
435C2×C22⋊D11—41no—
436C2×C22⋊D11—41no—
437C2×C22⋊D11—41no—
438C2×C22⋊D11C22×C414yes—
439C2×C22⋊D11C22×C414yes—
440C2×C22⋊D11C22×C414yes—
441C2×C22⋊D11C22×C414yes—
442C2×C22⋊D11C22×C414yes—
443C2×C22⋊D11C22×C414yes—
444C22×Dic11—22no—
445C22×Dic11—22no—
446C22×Dic11—22no—
447C22×Dic11—41no—
448C22×Dic11—41no—
449C22×Dic11—41no—
450C22×Dic11—41no—
451C22×Dic11—41no—
452C22×Dic11—41no—
453C22×Dic11—41no—
454C22×Dic11—41no—
455C22×Dic11—41no—
456C22×Dic11—41no—
457C22×Dic11—41no—
458C22×Dic11—41no—
459C22×Dic11C2411yescharacteristic
460C22×Dic11C2411yescharacteristic
461C22×Dic11C2411yescharacteristic
462C22×Dic11C2411yescharacteristic
463C22×Dic11C2411yescharacteristic
464C22×Dic11C2411yescharacteristic
465C22×Dic11C2411yescharacteristic
466C22×Dic11C2411yescharacteristic
467C22×Dic11C2411yescharacteristic
468C22×Dic11C2411yescharacteristic
469C22×Dic11C2411yescharacteristic
470C22×Dic11C2411yescharacteristic
471C22×Dic11C2411yescharacteristic
472C22×Dic11C2411yescharacteristic
473C2×C4×D11—22no—
474C2×C4×D11—22no—
475C2×C4×D11—41no—
476C2×C4×D11—41no—
477C2×C4×D11—41no—
478C2×C4×D11—41no—
479C2×C4×D11—41no—
480C2×C4×D11—41no—
481C2×C4×D11—41no—
482C2×C4×D11—41no—
483C2×C4×D11—41no—
484C2×C4×D11—41no—
485C2×Dic22—41no—
486C2×Dic22—41no—
487C2×Dic22—41no—
488C2×Dic22—41no—
489C2×Dic22—41no—
490C2×Dic22—41no—
491C2×Dic22C22×C414yes—
492C2×Dic22C22×C414yes—
493C2×Dic22C22×C414yes—
494C11×C4⋊C4—22no—
495C11×C4⋊C4—41no—
496C11×C4⋊C4—41no—
497C11×C22⋊C4—22no—
498C11×C22⋊C4—22no—
499C11×C22⋊C4—22no—
500C11×C22⋊C4—41no—
501C11×C22⋊C4—41no—
502C11×C22⋊C4—41no—
503C11×C22⋊C4—41no—
504C11×C22⋊C4—41no—
505C11×C22⋊C4—41no—
506C11×C22⋊C4—41no—
507C11×C22⋊C4—41no—
508C11×C22⋊C4—41no—
509C11×C22⋊C4—41no—
510C11×C22⋊C4C22×C414yes—
511C11×C22⋊C4C22×C414yes—
512C11×C22⋊C4C22×C414yes—
513C42×C11—41no—
514C42×C11—41no—
515C42×C11—41no—
516C22⋊Dic11—22no—
517C22⋊Dic11—22no—
518C22⋊Dic11—22no—
519C22⋊Dic11—22no—
520C22⋊Dic11—22no—
521C22⋊Dic11—41no—
522C22⋊Dic11—41no—
523C22⋊Dic11—41no—
524C22⋊Dic11—41no—
525C22⋊Dic11—41no—
526C22⋊Dic11—41no—
527C22⋊Dic11C22×C414yes—
528C22⋊Dic11C22×C414yes—
529C22⋊Dic11C22×C414yes—
530C22⋊Dic11C22×C414yes—
531C22⋊Dic11C22×C414yes—
532C22⋊Dic11C22×C414yes—
533C22⋊Dic11C22×C414yes—
534C22⋊Dic11C22×C414yes—
535C22⋊Dic11C22×C414yes—
536(C2×D11)⋊C4—22no—
537(C2×D11)⋊C4—22no—
538(C2×D11)⋊C4—22no—
539(C2×D11)⋊C4—22no—
540(C2×D11)⋊C4—41no—
541(C2×D11)⋊C4—41no—
542(C2×D11)⋊C4—41no—
543(C2×D11)⋊C4—41no—
544(C2×D11)⋊C4—41no—
545(C2×D11)⋊C4—41no—
546(C2×D11)⋊C4—41no—
547(C2×D11)⋊C4—41no—
548(C2×D11)⋊C4C22×C414yes—
549(C2×D11)⋊C4C22×C414yes—
550(C2×D11)⋊C4C22×C414yes—
551(C2×D11)⋊C4C22×C414yes—
552(C2×D11)⋊C4C22×C414yes—
553(C2×D11)⋊C4C22×C414yes—
554C4⋊Dic11—22no—
555C4⋊Dic11—41no—
556C4⋊Dic11—41no—
557Dic11⋊C4—22no—
558Dic11⋊C4—22no—
559Dic11⋊C4—22no—
560Dic11⋊C4—22no—
561Dic11⋊C4—41no—
562Dic11⋊C4—41no—
563Dic11⋊C4—41no—
564Dic11⋊C4—41no—
565Dic11⋊C4—41no—
566Dic11⋊C4—41no—
567Dic11⋊C4—41no—
568Dic11⋊C4—41no—
569C4×Dic11—22no—
570C4×Dic11—22no—
571C4×Dic11—22no—
572C4×Dic11—41no—
573C4×Dic11—41no—
574C4×Dic11—41no—
575C4×Dic11—41no—
576C4×Dic11—41no—
577C4×Dic11—41no—
578C4×Dic11—41no—
579C4×Dic11—41no—
580C4×Dic11—41no—
581C4×Dic11—41no—
582C4×Dic11—41no—
583C4×Dic11—41no—
584C4×Dic11C22×C414yes—
585C4×Dic11C22×C414yes—
586C4×Dic11C22×C414yes—
587C2×H(3,𝔽4)—111no—
588#2379—111no—
589#2379—111no—
590#2379—111no—
591#2367—111no—
592#2367—111no—
593#2367—111no—
594#2367—111no—
595#2367—111no—
596#2367—111no—
597#2358—111no—
598#2358—111no—
599#2358—111no—
600#2358—111no—
601#2358—111no—
602#2358—111no—
603#2337—111no—
604#2337—111no—
605#2337—111no—
606#2337—111no—
607#2337—111no—
608#2337—111no—
609#2321—111no—
610#2321—111no—
611#2321—111no—
612#2321—111no—
613#2321—111no—
614#2321D1111yescharacteristic, complemented
615C4×#124—111no—
616C4×#124—111no—
617C4×#124—111no—
618C23×C11—21no—
619C23×C11—21no—
620C23×C11—21no—
621C23×C11—21no—
622C23×C11—21no—
623C23×C11—21no—
624C23×C11—21no—
625C23×C11—21no—
626C23×C11—21no—
627C23×C11—21no—
628C23×C11—21no—
629C23×C11—21no—
630C23×C11—21no—
631C23×C11—21no—
632C23×C11—21no—
633C23×C11—21no—
634C23×C11—21no—
635C23×C11—21no—
636C23×C11—21no—
637C23×C11—21no—
638C23×C11—21no—
639C23×C11—21no—
640C23×C11—21no—
641C23×C11—21no—
642C23×C11—44no—
643C23×C11—44no—
644C23×C11—44no—
645C23×C11—82no—
646C23×C11—82no—
647C23×C11—82no—
648C23×C11—82no—
649C23×C11C23×C412yes—
650C23×C11C23×C412yes—
651C23×C11C23×C412yes—
652C23×C11C23×C412yes—
653C23×C11C2511yescharacteristic
654C22×D11—21no—
655C22×D11—21no—
656C22×D11—21no—
657C22×D11—21no—
658C22×D11—21no—
659C22×D11—21no—
660C22×D11—21no—
661C22×D11—21no—
662C22×D11—21no—
663C22×D11—21no—
664C22×D11—21no—
665C22×D11—21no—
666C22×D11—44no—
667C22×D11—44no—
668C22×D11—44no—
669C22×D11—82no—
670C22×D11—82no—
671C22×D11—82no—
672C22×D11—82no—
673C22×D11C23×C412yes—
674C22×D11C23×C412yes—
675D4×C11—44no—
676D4×C11—44no—
677D4×C11—44no—
678C2×C4×C11—21no—
679C2×C4×C11—21no—
680C2×C4×C11—21no—
681C2×C4×C11—21no—
682C2×C4×C11—21no—
683C2×C4×C11—21no—
684C2×C4×C11—21no—
685C2×C4×C11—21no—
686C2×C4×C11—21no—
687C2×C4×C11—21no—
688C2×C4×C11—21no—
689C2×C4×C11—21no—
690C2×C4×C11—21no—
691C2×C4×C11—21no—
692C2×C4×C11—21no—
693C2×C4×C11—21no—
694C2×C4×C11—21no—
695C2×C4×C11—21no—
696C2×C4×C11—21no—
697C2×C4×C11—21no—
698C2×C4×C11—21no—
699C2×C4×C11—21no—
700C2×C4×C11—21no—
701C2×C4×C11—21no—
702C2×C4×C11—21no—
703C2×C4×C11—21no—
704C2×C4×C11—21no—
705C2×C4×C11—21no—
706C2×C4×C11—21no—
707C2×C4×C11—82no—
708C2×C4×C11—82no—
709C2×C4×C11—82no—
710C2×C4×C11C23×C412yes—
711C2×C4×C11C23×C412yes—
712C2×C4×C11C23×C412yes—
713C2×C4×C11H(5,𝔽2)12yes—
714C22⋊D11—44no—
715C22⋊D11—44no—
716C22⋊D11—44no—
717C22⋊D11—44no—
718C22⋊D11—44no—
719C22⋊D11—44no—
720C2×Dic11—21no—
721C2×Dic11—21no—
722C2×Dic11—21no—
723C2×Dic11—21no—
724C2×Dic11—21no—
725C2×Dic11—21no—
726C2×Dic11—21no—
727C2×Dic11—21no—
728C2×Dic11—21no—
729C2×Dic11—21no—
730C2×Dic11—21no—
731C2×Dic11—21no—
732C2×Dic11—21no—
733C2×Dic11—21no—
734C2×Dic11—21no—
735C2×Dic11—21no—
736C2×Dic11—21no—
737C2×Dic11—21no—
738C2×Dic11—21no—
739C2×Dic11—21no—
740C2×Dic11—21no—
741C2×Dic11—21no—
742C2×Dic11—21no—
743C2×Dic11—21no—
744C2×Dic11—21no—
745C2×Dic11—21no—
746C2×Dic11—21no—
747C2×Dic11—21no—
748C2×Dic11—21no—
749C2×Dic11—21no—
750C2×Dic11—21no—
751C2×Dic11—21no—
752C2×Dic11—21no—
753C2×Dic11—21no—
754C2×Dic11—82no—
755C2×Dic11—82no—
756C2×Dic11—82no—
757C2×Dic11—82no—
758C2×Dic11—82no—
759C2×Dic11C23×C412yes—
760C2×Dic11C23×C412yes—
761C2×Dic11C23×C412yes—
762C2×Dic11C23×C412yes—
763C2×Dic11C23×C412yes—
764C2×Dic11C23×C412yes—
765C2×Dic11H(5,𝔽2)12yes—
766C2×Dic11H(5,𝔽2)12yes—
767C4×D11—82no—
768C4×D11—82no—
769C4×D11—82no—
770C4×D11—82no—
771Dic22—44no—
772Dic22—44no—
773Dic22—44no—
774H(3,𝔽4)—1116no—
775C2×#124—111no—
776C2×#124—111no—
777C2×#124—111no—
778C2×#124—111no—
779C2×#124—111no—
780C2×#124—111no—
781C2×#124—111no—
782C2×#124—111no—
783C2×#124—111no—
784C2×#120—111no—
785C2×#120—111no—
786C2×#120—111no—
787C2×#120—111no—
788C2×#120—111no—
789C2×#120C2×D1111yescharacteristic
790C2×C4×Q8—111no—
791C2×C4×Q8—111no—
792C2×C4×Q8—111no—
793C2×C4×D4—111no—
794C2×C4×D4—111no—
795C2×C4×D4—111no—
796C2×C4×D4—111no—
797C2×C4×D4—111no—
798C2×C4×D4—111no—
799C2×C4×D4—111no—
800C2×C4×D4—111no—
801C2×C4×D4C2×D1111yescharacteristic
802C22×C22⋊C4—111no—
803C22×C22⋊C4—111no—
804C22×C22⋊C4—111no—
805C22×C22⋊C4—111no—
806C22×C22⋊C4—111no—
807C22×C22⋊C4C2×D1111yescharacteristic, complemented
808#391—111no—
809#391—111no—
810#391—111no—
811#391—111no—
812#391—111no—
813#391—111no—
814#391—111no—
815#391—111no—
816#391—111no—
817#390—111no—
818#390—111no—
819#390—111no—
820#390—111no—
821#390—111no—
822#390—111no—
823#390—111no—
824#390C2×D1111yescharacteristic
825#390C2×D1111yescharacteristic
826#388—111no—
827#388—111no—
828#388—111no—
829#388—111no—
830#388—111no—
831#388—111no—
832#388—111no—
833#388—111no—
834#388—111no—
835#388—111no—
836#388—111no—
837#388—111no—
838#388—111no—
839#388—111no—
840#388—111no—
841#388—111no—
842#388—111no—
843#388—111no—
844#388—111no—
845#388—111no—
846#388—111no—
847#388—111no—
848#388—111no—
849#388—111no—
850#388—111no—
851#388—111no—
852#388—111no—
853#388—111no—
854#388—111no—
855#388—111no—
856#388—111no—
857#388—111no—
858#388C2×D1111yescharacteristic, complemented
859#388C2×D1111yescharacteristic, complemented
860#388C2×D1111yescharacteristic, complemented
861#388C2×D1111yescharacteristic, complemented
862#386—111no—
863#386—111no—
864#386—111no—
865#386—111no—
866#386—111no—
867#386—111no—
868#386—111no—
869#386—111no—
870#386—111no—
871#386—111no—
872#386—111no—
873#386—111no—
874#386—111no—
875#386—111no—
876#386—111no—
877#386C2×D1111yescharacteristic
878#386C2×D1111yescharacteristic
879#386C2×D1111yescharacteristic
880#385—111no—
881#385—111no—
882#385—111no—
883#385—111no—
884#385—111no—
885#385—111no—
886#385—111no—
887#385—111no—
888#385—111no—
889#385—111no—
890#385—111no—
891#385—111no—
892#385—111no—
893#385—111no—
894#385—111no—
895#385—111no—
896#385—111no—
897#385C2×D1111yescharacteristic, complemented
898#383—111no—
899#383—111no—
900#382—111no—
901#382—111no—
902#382—111no—
903#379—111no—
904#379C2×D1111yescharacteristic, complemented
905C4×C4⋊C4—111no—
906C4×C4⋊C4—111no—
907C4×C4⋊C4—111no—
908C4×C4⋊C4—111no—
909C4×C4⋊C4—111no—
910C4×C4⋊C4—111no—
911C4×C22⋊C4—111no—
912C4×C22⋊C4—111no—
913C4×C22⋊C4—111no—
914C4×C22⋊C4—111no—
915C4×C22⋊C4—111no—
916C4×C22⋊C4—111no—
917C4×C22⋊C4—111no—
918C4×C22⋊C4—111no—
919C4×C22⋊C4—111no—
920C4×C22⋊C4—111no—
921C4×C22⋊C4—111no—
922C4×C22⋊C4—111no—
923C4×C22⋊C4—111no—
924C4×C22⋊C4—111no—
925C4×C22⋊C4—111no—
926C4×C22⋊C4—111no—
927C4×C22⋊C4—111no—
928C4×C22⋊C4C2×D1111yescharacteristic, complemented
929C43—111no—
930C22×C11—22no—
931C22×C11—22no—
932C22×C11—22no—
933C22×C11—22no—
934C22×C11—22no—
935C22×C11—22no—
936C22×C11—22no—
937C22×C11—22no—
938C22×C11—22no—
939C22×C11—22no—
940C22×C11—22no—
941C22×C11—22no—
942C22×C11—41no—
943C22×C11—41no—
944C22×C11—41no—
945C22×C11—41no—
946C22×C11—41no—
947C22×C11—41no—
948C22×C11—41no—
949C22×C11—41no—
950C22×C11—41no—
951C22×C11—41no—
952C22×C11—41no—
953C22×C11—41no—
954C22×C11—41no—
955C22×C11—41no—
956C22×C11—41no—
957C22×C11—41no—
958C22×C11—88no—
959C22×C11C24×C411yescharacteristic
960C22×C11C2×H(5,𝔽2)11yescharacteristic
961C22×C11C2×H(5,𝔽2)11yescharacteristic
962C22×C11C2×H(5,𝔽2)11yescharacteristic
963C22×C11#58511yescharacteristic
964C22×C11#58511yescharacteristic
965C22×C11#58511yescharacteristic
966C2×D11—22no—
967C2×D11—22no—
968C2×D11—22no—
969C2×D11—22no—
970C2×D11—22no—
971C2×D11—22no—
972C2×D11—41no—
973C2×D11—41no—
974C2×D11—41no—
975C2×D11—41no—
976C2×D11—41no—
977C2×D11—41no—
978C2×D11—41no—
979C2×D11—41no—
980C2×D11—88no—
981C4×C11—22no—
982C4×C11—22no—
983C4×C11—22no—
984C4×C11—22no—
985C4×C11—41no—
986C4×C11—41no—
987C4×C11—41no—
988C4×C11—41no—
989C4×C11—41no—
990C4×C11—41no—
991C4×C11—41no—
992Dic11—22no—
993Dic11—22no—
994Dic11—22no—
995Dic11—22no—
996Dic11—22no—
997Dic11—22no—
998Dic11—22no—
999Dic11—22no—
1000Dic11—41no—
1001Dic11—41no—
1002Dic11—41no—
1003Dic11—41no—
1004Dic11—41no—
1005Dic11—41no—
1006C25—111no—
1007C25C22×D1111yescharacteristic
1008C22×Q8—111no—
1009C22×Q8—111no—
1010C22×Q8—111no—
1011C22×D4—111no—
1012C22×D4—111no—
1013C22×D4—111no—
1014C22×D4—111no—
1015C22×D4—111no—
1016C22×D4—111no—
1017C22×D4C22×D1111yescharacteristic
1018C22×D4C22×D1111yescharacteristic
1019C22×D4C22×D1111yescharacteristic
1020C23×C4—111no—
1021C23×C4—111no—
1022C23×C4—111no—
1023C23×C4—111no—
1024C23×C4—111no—
1025C23×C4—111no—
1026C23×C4—111no—
1027C23×C4—111no—
1028C23×C4—111no—
1029C23×C4C22×D1111yescharacteristic
1030C23×C4C22×D1111yescharacteristic
1031C23×C4C22×D1111yescharacteristic
1032#124—118no—
1033#124—118no—
1034#124—118no—
1035#124—118no—
1036#124—118no—
1037#124—118no—
1038#124—118no—
1039#124—118no—
1040#124—118no—
1041#120—118no—
1042#120—118no—
1043#120—118no—
1044#120—118no—
1045#120—118no—
1046#120C4×D1118yescomplemented
1047C4×Q8—442no—
1048C4×Q8—442no—
1049C4×Q8—442no—
1050C4×D4—42no—
1051C4×D4—442no—
1052C4×D4—442no—
1053C4×D4—442no—
1054C4×D4—442no—
1055C4×D4—442no—
1056C4×D4—442no—
1057C4×D4—442no—
1058C4×D4—442no—
1059C2×C4⋊C4—111no—
1060C2×C4⋊C4—111no—
1061C2×C4⋊C4—111no—
1062C2×C4⋊C4—111no—
1063C2×C4⋊C4—111no—
1064C2×C4⋊C4—111no—
1065C2×C4⋊C4—111no—
1066C2×C4⋊C4—111no—
1067C2×C4⋊C4—111no—
1068C2×C4⋊C4—111no—
1069C2×C4⋊C4—111no—
1070C2×C4⋊C4—111no—
1071C2×C4⋊C4—111no—
1072C2×C4⋊C4—111no—
1073C2×C4⋊C4—111no—
1074C2×C4⋊C4C22×D1111yescharacteristic
1075C2×C4⋊C4C22×D1111yescharacteristic
1076C2×C4⋊C4C22×D1111yescharacteristic
1077C2×C22⋊C4—42no—
1078C2×C22⋊C4—111no—
1079C2×C22⋊C4—111no—
1080C2×C22⋊C4—111no—
1081C2×C22⋊C4—111no—
1082C2×C22⋊C4—111no—
1083C2×C22⋊C4—111no—
1084C2×C22⋊C4—111no—
1085C2×C22⋊C4—111no—
1086C2×C22⋊C4—111no—
1087C2×C22⋊C4—111no—
1088C2×C22⋊C4—111no—
1089C2×C22⋊C4—111no—
1090C2×C22⋊C4—111no—
1091C2×C22⋊C4—111no—
1092C2×C22⋊C4—111no—
1093C2×C22⋊C4—111no—
1094C2×C22⋊C4—111no—
1095C2×C22⋊C4—111no—
1096C2×C22⋊C4—111no—
1097C2×C22⋊C4—111no—
1098C2×C22⋊C4—111no—
1099C2×C22⋊C4—111no—
1100C2×C22⋊C4—111no—
1101C2×C22⋊C4—111no—
1102C2×C22⋊C4—111no—
1103C2×C22⋊C4—111no—
1104C2×C22⋊C4—111no—
1105C2×C22⋊C4—111no—
1106C2×C22⋊C4—111no—
1107C2×C22⋊C4—111no—
1108C2×C22⋊C4—111no—
1109C2×C22⋊C4—111no—
1110C2×C22⋊C4—111no—
1111C2×C22⋊C4—111no—
1112C2×C22⋊C4—111no—
1113C2×C22⋊C4—111no—
1114C2×C22⋊C4—111no—
1115C2×C22⋊C4—111no—
1116C2×C22⋊C4—442no—
1117C2×C22⋊C4—442no—
1118C2×C22⋊C4—442no—
1119C2×C22⋊C4—442no—
1120C2×C22⋊C4—442no—
1121C2×C22⋊C4C22×D1111yescharacteristic
1122C2×C22⋊C4C22×D1111yescharacteristic
1123C2×C22⋊C4C22×D1111yescharacteristic
1124C2×C22⋊C4C22×D1111yescharacteristic
1125C2×C22⋊C4C22×D1111yescharacteristic
1126C2×C22⋊C4C22×D1111yescharacteristic
1127C2×C22⋊C4C22×D1111yescharacteristic
1128C2×C22⋊C4C22×D1111yescharacteristic
1129C2×C22⋊C4C22×D1111yescharacteristic
1130C2×C22⋊C4C22×D1111yescharacteristic
1131C2×C22⋊C4C22×D1111yescharacteristic
1132C2×C22⋊C4C22×D1111yescharacteristic
1133C2×C22⋊C4C22×D1111yescharacteristic
1134C2×C22⋊C4C22×D1111yescharacteristic
1135C2×C22⋊C4C22×D1111yescharacteristic
1136C2×C22⋊C4C22×D1111yescharacteristic
1137C2×C42—111no—
1138C2×C42—111no—
1139C2×C42—111no—
1140C2×C42—111no—
1141C2×C42—111no—
1142C2×C42—111no—
1143C2×C42—111no—
1144C2×C42—111no—
1145C2×C42—111no—
1146C2×C42—111no—
1147C2×C42—111no—
1148C2×C42—111no—
1149C2×C42—111no—
1150C2×C42—111no—
1151C2×C42—111no—
1152C2×C42—111no—
1153C2×C42—111no—
1154C2×C42—111no—
1155C2×C42C22×D1111yescharacteristic
1156C2×C42C22×D1111yescharacteristic
1157C2×C42C22×D1111yescharacteristic
1158#95—111no—
1159#95—111no—
1160#95—111no—
1161#95—111no—
1162#95—111no—
1163#95—111no—
1164#95—111no—
1165#95—111no—
1166#95—111no—
1167#95—111no—
1168#95—111no—
1169#95—111no—
1170#95—111no—
1171#95—111no—
1172#95—111no—
1173#95—111no—
1174#95—111no—
1175#95—111no—
1176#95—111no—
1177#95—111no—
1178#95—111no—
1179#95—111no—
1180#95—111no—
1181#95—111no—
1182#95—111no—
1183#95—111no—
1184#95—111no—
1185#95—111no—
1186#95—111no—
1187#95—111no—
1188#95C22×D1111yescharacteristic
1189#95C22×D1111yescharacteristic
1190#95C22×D1111yescharacteristic
1191#95C22×D1111yescharacteristic
1192#95C22×D1111yescharacteristic
1193#95C22×D1111yescharacteristic
1194C2×C11—42no—
1195C2×C11—42no—
1196C2×C11—42no—
1197C2×C11—42no—
1198C2×C11C4×H(5,𝔽2)11yescharacteristic
1199C2×C11C4×H(5,𝔽2)11yescharacteristic
1200C2×C11C4×H(5,𝔽2)11yescharacteristic
1201C2×C11#355811yescharacteristic
1202C2×C11#355811yescharacteristic
1203C2×C11#355811yescharacteristic
1204C2×C11#356811yescharacteristic
1205D11—42no—
1206D11—42no—
1207C24—41no—
1208C24—41no—
1209C24—41no—
1210C24—41no—
1211C24—41no—
1212C24—41no—
1213C24—111no—
1214C24—111no—
1215C24—114no—
1216C24—441no—
1217C24—441no—
1218C24—441no—
1219C24—441no—
1220C24—441no—
1221C24—441no—
1222C24C2×C4×D1114yes—
1223C24C23×D1111yescharacteristic
1224C24C23×D1111yescharacteristic
1225C24C23×D1111yescharacteristic
1226C24C23×D1111yescharacteristic
1227C2×Q8—114no—
1228C2×Q8—114no—
1229C2×Q8—114no—
1230C2×Q8—441no—
1231C2×Q8—441no—
1232C2×Q8—441no—
1233C2×Q8—441no—
1234C2×Q8—441no—
1235C2×Q8—441no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—114no—
1243C2×D4—114no—
1244C2×D4—114no—
1245C2×D4—114no—
1246C2×D4—114no—
1247C2×D4—114no—
1248C2×D4—441no—
1249C2×D4—441no—
1250C2×D4—441no—
1251C2×D4—441no—
1252C2×D4—441no—
1253C2×D4—441no—
1254C2×D4—441no—
1255C2×D4—441no—
1256C2×D4—441no—
1257C2×D4—441no—
1258C2×D4—441no—
1259C2×D4—441no—
1260C2×D4C2×C4×D1114yes—
1261C2×D4C2×C4×D1114yes—
1262C2×D4C2×C4×D1114yes—
1263C22×C4—22no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—111no—
1273C22×C4—111no—
1274C22×C4—111no—
1275C22×C4—111no—
1276C22×C4—111no—
1277C22×C4—111no—
1278C22×C4—111no—
1279C22×C4—111no—
1280C22×C4—111no—
1281C22×C4—111no—
1282C22×C4—111no—
1283C22×C4—111no—
1284C22×C4—111no—
1285C22×C4—111no—
1286C22×C4—222no—
1287C22×C4—222no—
1288C22×C4—222no—
1289C22×C4—222no—
1290C22×C4—222no—
1291C22×C4—441no—
1292C22×C4—441no—
1293C22×C4—441no—
1294C22×C4—441no—
1295C22×C4—441no—
1296C22×C4—441no—
1297C22×C4—441no—
1298C22×C4—441no—
1299C22×C4—441no—
1300C22×C4—441no—
1301C22×C4—441no—
1302C22×C4—441no—
1303C22×C4—441no—
1304C22×C4—441no—
1305C22×C4—441no—
1306C22×C4—441no—
1307C22×C4—441no—
1308C22×C4—441no—
1309C22×C4—441no—
1310C22×C4—441no—
1311C22×C4—441no—
1312C22×C4—441no—
1313C22×C4C23×D1111yescharacteristic
1314C22×C4C23×D1111yescharacteristic
1315C22×C4C23×D1111yescharacteristic
1316C22×C4C23×D1111yescharacteristic
1317C22×C4C23×D1111yescharacteristic
1318C22×C4C23×D1111yescharacteristic
1319C22×C4C23×D1111yescharacteristic
1320C22×C4C23×D1111yescharacteristic
1321C22×C4C23×D1111yescharacteristic
1322C22×C4C23×D1111yescharacteristic
1323C22×C4C23×D1111yescharacteristic
1324C4⋊C4—22no—
1325C4⋊C4—41no—
1326C4⋊C4—41no—
1327C4⋊C4—222no—
1328C4⋊C4—222no—
1329C4⋊C4—222no—
1330C4⋊C4—222no—
1331C4⋊C4—222no—
1332C4⋊C4—441no—
1333C4⋊C4—441no—
1334C4⋊C4—441no—
1335C4⋊C4—441no—
1336C4⋊C4—441no—
1337C4⋊C4—441no—
1338C4⋊C4—441no—
1339C4⋊C4—441no—
1340C4⋊C4—441no—
1341C4⋊C4—441no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—114no—
1356C22⋊C4—114no—
1357C22⋊C4—114no—
1358C22⋊C4—114no—
1359C22⋊C4—114no—
1360C22⋊C4—114no—
1361C22⋊C4—114no—
1362C22⋊C4—114no—
1363C22⋊C4—114no—
1364C22⋊C4—114no—
1365C22⋊C4—114no—
1366C22⋊C4—114no—
1367C22⋊C4—114no—
1368C22⋊C4—114no—
1369C22⋊C4—114no—
1370C22⋊C4—222no—
1371C22⋊C4—222no—
1372C22⋊C4—222no—
1373C22⋊C4—222no—
1374C22⋊C4—222no—
1375C22⋊C4—222no—
1376C22⋊C4—222no—
1377C22⋊C4—222no—
1378C22⋊C4—222no—
1379C22⋊C4—441no—
1380C22⋊C4—441no—
1381C22⋊C4—441no—
1382C22⋊C4—441no—
1383C22⋊C4—441no—
1384C22⋊C4—441no—
1385C22⋊C4—441no—
1386C22⋊C4—441no—
1387C22⋊C4—441no—
1388C22⋊C4—441no—
1389C22⋊C4—441no—
1390C22⋊C4—441no—
1391C22⋊C4—441no—
1392C22⋊C4—441no—
1393C22⋊C4C2×C4×D1114yes—
1394C22⋊C4C2×C4×D1114yes—
1395C22⋊C4C2×C4×D1114yes—
1396C42—41no—
1397C42—41no—
1398C42—41no—
1399C42—114no—
1400C42—114no—
1401C42—114no—
1402C42—222no—
1403C42—222no—
1404C42—222no—
1405C42—441no—
1406C42—441no—
1407C42—441no—
1408C42—441no—
1409C42—441no—
1410C42—441no—
1411C42—441no—
1412C42—441no—
1413C42—441no—
1414C42—441no—
1415C42—441no—
1416C42—441no—
1417C11#3452911yescharacteristic, complemented, Sylow
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—44no—
1443C23—44no—
1444C23—44no—
1445C23—82no—
1446C23—82no—
1447C23—82no—
1448C23—82no—
1449C23—112no—
1450C23—112no—
1451C23—221no—
1452C23—221no—
1453C23—221no—
1454C23—221no—
1455C23—221no—
1456C23—221no—
1457C23—221no—
1458C23—221no—
1459C23—221no—
1460C23—221no—
1461C23—221no—
1462C23—221no—
1463C23—444no—
1464C23—444no—
1465C23—444no—
1466C23—882no—
1467C23—882no—
1468C23—882no—
1469C23—882no—
1470C23C22×C4×D1112yes—
1471C23C22×C4×D1112yes—
1472C23C22×C4×D1112yes—
1473C23C22×C4×D1112yes—
1474C23C24×D1111yescharacteristic
1475Q8—444no—
1476Q8—444no—
1477Q8—444no—
1478D4—44no—
1479D4—44no—
1480D4—44no—
1481D4—444no—
1482D4—444no—
1483D4—444no—
1484D4—444no—
1485D4—444no—
1486D4—444no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—82no—
1517C2×C4—82no—
1518C2×C4—82no—
1519C2×C4—112no—
1520C2×C4—112no—
1521C2×C4—112no—
1522C2×C4—112no—
1523C2×C4—112no—
1524C2×C4—112no—
1525C2×C4—112no—
1526C2×C4—112no—
1527C2×C4—221no—
1528C2×C4—221no—
1529C2×C4—221no—
1530C2×C4—221no—
1531C2×C4—221no—
1532C2×C4—221no—
1533C2×C4—221no—
1534C2×C4—221no—
1535C2×C4—221no—
1536C2×C4—221no—
1537C2×C4—221no—
1538C2×C4—221no—
1539C2×C4—221no—
1540C2×C4—221no—
1541C2×C4—221no—
1542C2×C4—221no—
1543C2×C4—221no—
1544C2×C4—221no—
1545C2×C4—221no—
1546C2×C4—221no—
1547C2×C4—221no—
1548C2×C4—221no—
1549C2×C4—221no—
1550C2×C4—221no—
1551C2×C4—221no—
1552C2×C4—221no—
1553C2×C4—221no—
1554C2×C4—221no—
1555C2×C4—221no—
1556C2×C4—221no—
1557C2×C4—221no—
1558C2×C4—221no—
1559C2×C4—221no—
1560C2×C4—221no—
1561C2×C4—882no—
1562C2×C4—882no—
1563C2×C4—882no—
1564C2×C4—882no—
1565C2×C4—882no—
1566C2×C4—882no—
1567C2×C4—882no—
1568C2×C4—882no—
1569C2×C4—882no—
1570C2×C4C22×C4×D1112yes—
1571C2×C4C22×C4×D1112yes—
1572C2×C4C22×C4×D1112yes—
1573C2×C4#6703712yes—
1574C22—22no—
1575C22—22no—
1576C22—22no—
1577C22—22no—
1578C22—22no—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—88no—
1603C22—222no—
1604C22—222no—
1605C22—222no—
1606C22—222no—
1607C22—222no—
1608C22—222no—
1609C22—441no—
1610C22—441no—
1611C22—441no—
1612C22—441no—
1613C22—441no—
1614C22—441no—
1615C22—441no—
1616C22—441no—
1617C22—888no—
1618C22C23×C4×D1111yescharacteristic
1619C22C2×#6703711yescharacteristic
1620C22#1062345311yescharacteristic
1621C22D11×H(5,𝔽2)11yescharacteristic
1622C22D11×H(5,𝔽2)11yescharacteristic
1623C22#1062345511yescharacteristic
1624C22#1062345511yescharacteristic
1625C4—22no—
1626C4—22no—
1627C4—22no—
1628C4—22no—
1629C4—41no—
1630C4—41no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—222no—
1637C4—222no—
1638C4—222no—
1639C4—222no—
1640C4—222no—
1641C4—222no—
1642C4—222no—
1643C4—222no—
1644C4—441no—
1645C4—441no—
1646C4—441no—
1647C4—441no—
1648C4—441no—
1649C4—441no—
1650C2—42no—
1651C2—42no—
1652C2—42no—
1653C2—42no—
1654C2—442no—
1655C2—442no—
1656C2#1308182011yescharacteristic
1657C2#1308182011yescharacteristic
1658C2C4×#6703711yescharacteristic
1659C2#1308312711yescharacteristic
1660C2#1308312811yescharacteristic
1661C2#1308313411yescharacteristic
1662C2#1308330911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2321C2
socle, cosocleC23×C11C25
prime radicalC2×#10623125C2
hypercenter#2321D11
hypocenterC11#34529
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2321

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
2. #13071789C2semidirect
3. #13071786C2semidirect
4. #13071785C2semidirect
5. #13071690C2semidirect
6. #13071689C2semidirect
7. #13071686C2semidirect
8. #13071684C2semidirect
9. #13071682C2semidirect
10. #13071682C2semidirect
11. #13071600C2semidirect
12. #13071597C2semidirect
13. #13071596C2semidirect
14. #13071595C2semidirect
15. #13071595C2semidirect
16. #13071593C2semidirect
17. #13071427C2semidirect
18. #13071425C2semidirect
19. #13071425C2semidirect
20. #13071424C2semidirect
21. #13071423C2semidirect
22. #13071423C2semidirect
23. #13071279C2semidirect
24. #13071275C2semidirect
25. #13071272C2semidirect
26. #13071271C2semidirect
27. #13071271C2semidirect
28. #13071163C2semidirect
29. #13071157C2semidirect
30. C4×#66938C2semidirect
31. C11×#2321C2semidirect
34. C22×C11×C22⋊C4C22semidirect
37. C22×C22⋊Dic11C22semidirect
38. C22×C22⋊Dic11C22semidirect
49. C22×(C2×D11)⋊C4C22semidirect
50. #10623125C4semidirect
51. C2×#66940C22semidirect
52. C2×#66940C22semidirect
63. C2×C22⋊C4×D11C22semidirect
64. C2×C22⋊C4×D11C22semidirect
65. C2×C4×Dic22C22semidirect
68. C11×#388C22semidirect
69. C11×#388C22semidirect
70. C11×#388C22semidirect
71. C11×#388C22semidirect
75. C11×#385C22semidirect
76. C11×#379C22semidirect
77. C4×C11×C22⋊C4C22semidirect
84. #10622823C22semidirect
85. #10622823C22semidirect
86. #10622823C22semidirect
87. #10622823C22semidirect
88. C4×C22⋊Dic11C22semidirect
89. C4×C22⋊Dic11C22semidirect
90. C4×C22⋊Dic11C22semidirect
91. #10622603C22semidirect
92. #10622603C22semidirect
93. #10622602C22semidirect
94. #10622602C22semidirect
95. #10622602C22semidirect
96. #10622602C22semidirect
97. #10622590C22semidirect
98. C4⋊C4×Dic11C22semidirect
99. C4⋊C4×Dic11C22semidirect
100. #10622587C22semidirect
117. #10622568C22semidirect
118. #10622564C22semidirect
119. #10622564C22semidirect
120. #10622563C22semidirect
121. #10622563C22semidirect
122. #10622559C22semidirect
123. #10622559C22semidirect
124. #10622559C22semidirect
125. #10622559C22semidirect
126. #10622559C22semidirect
127. #10622558C22semidirect
128. #10622558C22semidirect
129. #10622558C22semidirect
130. #10622558C22semidirect
131. #10622558C22semidirect
132. #10622558C22semidirect
133. #10622558C22semidirect
134. #10622558C22semidirect
135. #10622557C22semidirect
136. #10622557C22semidirect
137. #10622557C22semidirect
138. #10622557C22semidirect
139. #10622557C22semidirect
140. #10622557C22semidirect
141. #10622557C22semidirect
142. #10622557C22semidirect
143. #10622557C22semidirect
144. #10622557C22semidirect
145. C22⋊C4×Dic11C22semidirect
146. C22⋊C4×Dic11C22semidirect
147. C22⋊C4×Dic11C22semidirect
148. C22⋊C4×Dic11C22semidirect
149. C22⋊C4×Dic11C22semidirect
150. C22⋊C4×Dic11C22semidirect
151. C22⋊C4×Dic11C22semidirect
152. C22⋊C4×Dic11C22semidirect
153. #10622553C22semidirect
154. #10622553C22semidirect
155. C4×(C2×D11)⋊C4C22semidirect
156. C4×(C2×D11)⋊C4C22semidirect
157. C4×(C2×D11)⋊C4C22semidirect
158. C4×(C2×D11)⋊C4C22semidirect
159. C4×Dic11⋊C4C22semidirect
160. C4×Dic11⋊C4C22semidirect
161. C42×Dic11C22semidirect
162. #10622542C22semidirect
163. #10622542C22semidirect
164. #10622283C22semidirect
165. #10622283C22semidirect
166. #10622283C22semidirect
167. #10622283C22semidirect
168. #10622282C22semidirect
169. #10622282C22semidirect
170. #10622282C22semidirect
171. #10622282C22semidirect
172. #10622281C22semidirect
173. #10622281C22semidirect
174. #10622279C22semidirect
175. #10622279C22semidirect
176. #10622264C22semidirect
177. #10622264C22semidirect
178. #10622263C22semidirect
179. #10622263C22semidirect
180. #10622262C22semidirect
181. #10622262C22semidirect
182. #10622259C22semidirect
183. #10622259C22semidirect
184. #10622259C22semidirect
185. #10622259C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
214. C11×#120C2×C4semidirect
239. #67006C2×C4semidirect
240. #67006C2×C4semidirect
263. #66990C2×C4semidirect
264. #66990C2×C4semidirect
265. #66990C2×C4semidirect
266. #66989C2×C4semidirect
267. #66989C2×C4semidirect
268. #66989C2×C4semidirect
327. #66938C2×C4semidirect
328. #66938C2×C4semidirect
329. #66938C2×C4semidirect
330. #66938C2×C4semidirect
331. #66938C2×C4semidirect
332. #66938C2×C4semidirect
614. #2321D11semidirect
807. C22×C22⋊C4C2×D11semidirect
858. #388C2×D11semidirect
859. #388C2×D11semidirect
860. #388C2×D11semidirect
861. #388C2×D11semidirect
897. #385C2×D11semidirect
904. #379C2×D11semidirect
928. C4×C22⋊C4C2×D11semidirect
1046. #120C4×D11semidirect
1417. C11#34529semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×#106231252
#130717892
#130717862
#130717852
#130716902
#130716892
#130716862
#130716842
#130716822
#130716002
#130715972
#130715962
#130715952
#130715932
#130714272
#130714252
#130714242
#130714232
#130712792
#130712752
#130712722
#130712712
#130711632
#130711572
C4×#669382
C11×#23212
#3452911