Finite Group Databasebeta

← #15647535

Subgroups — #15647535

Order 2816.

1850 conjugacy classes of subgroups.

The subgroup lattice has 1788 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082977C211yesmaximal, characteristic, complemented
2#13082723C211yesmaximal, characteristic, complemented
3#13081688C211yesmaximal, characteristic, complemented
4#13081655C211yesmaximal, characteristic, complemented
5#13081457C211yesmaximal, characteristic, complemented
6#13081350C211yesmaximal, characteristic, complemented
7#13080771C211yesmaximal, characteristic, complemented
8#13080761C211yesmaximal, characteristic, complemented
9#13080735C211yesmaximal, characteristic, complemented
10#13080585C211yesmaximal, characteristic, complemented
11#13080565C211yesmaximal, characteristic, complemented
12#13080455C211yesmaximal, characteristic, complemented
13#13080369C211yesmaximal, characteristic, complemented
14#13080322C211yesmaximal, characteristic, complemented
15#13080200C211yesmaximal, characteristic, complemented
16#13080175C211yesmaximal, characteristic, complemented
17#13080154C211yesmaximal, characteristic, complemented
18#13080109C211yesmaximal, characteristic, complemented
19#13080072C211yesmaximal, characteristic, complemented
20#13080032C211yesmaximal, characteristic, complemented
21#13079940C211yesmaximal, characteristic, complemented
22#13079665C211yesmaximal, characteristic, complemented
23#13079658C211yesmaximal, characteristic, complemented
24#13078895C211yesmaximal, characteristic, complemented
25#13078842C211yesmaximal, characteristic, complemented
26#13078764C211yesmaximal, characteristic, complemented
27#13078151C211yesmaximal, characteristic, complemented
28#13078132C211yesmaximal, characteristic, complemented
29#13078068C211yesmaximal, characteristic, complemented
30#13077750C211yesmaximal, characteristic, complemented
31C11×#3224C211yesmaximal, characteristic, complemented
32C11×#542C2211yescharacteristic, complemented
33C11×#535C2211yescharacteristic
34#10623365C2211yescharacteristic
35#10623355C2211yescharacteristic
36C2×#67003C2211yescharacteristic, complemented
37#10623337C2211yescharacteristic
38D4×C22⋊D11C2211yescharacteristic
39C2×#66985C2211yescharacteristic
40C2×#66969C2211yescharacteristic, complemented
41C2×#66968C2211yescharacteristic, complemented
42C2×SD16×D11C2211yescharacteristic
43C2×#66965C2211yescharacteristic, complemented
44#10623265C2211yescharacteristic, complemented
45#10623252C2211yescharacteristic, complemented
46#10623249C2211yescharacteristic
47#10623249C2211yescharacteristic
48#10623247C2211yescharacteristic
49#10623246C2211yescharacteristic
50#10623240—21no—
51#10623239—21no—
52#10623213C2211yescharacteristic
53#10623212—21no—
54#10623212C2211yescharacteristic, complemented
55#10623208C2211yescharacteristic, complemented
56#10623207C2211yescharacteristic
57#10623202C2211yescharacteristic
58#10623201—21no—
59#10623199C2211yescharacteristic
60#10623194—21no—
61#10623180—21no—
62#10623173C2211yescharacteristic, complemented
63#10623171—21no—
64#10623164C2211yescharacteristic
65#10623155—21no—
66#10623151—21no—
67#10623149C2211yescharacteristic
68#10623144—21no—
69#10623132—21no—
70#10623130C2211yescharacteristic, complemented
71#10623128—21no—
72#10623126—21no—
73#10623124—21no—
74#10623123—21no—
75#10623122—21no—
76#10623111C2211yescharacteristic, complemented
77#10623103C2211yescharacteristic, complemented
78#10623093C2211yescharacteristic, complemented
79C4×#4341C2211yescharacteristic, complemented
80#10623065C2211yescharacteristic
81#10623059C2211yescharacteristic
82#10623054C2211yescharacteristic, complemented
83C11×#496C2211yescharacteristic, complemented
84C11×#495C2211yescharacteristic
85C11×#489C2211yescharacteristic
86C11×#486C2211yescharacteristic, complemented
87C11×#464C2211yescharacteristic, complemented
88C11×#463C2211yescharacteristic, complemented
89C11×#460C2211yescharacteristic
90C11×#459C2211yescharacteristic
91C11×#452C2211yescharacteristic, complemented
92C11×#450C2211yescharacteristic
93C11×#449C2211yescharacteristic, complemented
94C11×#447C2211yescharacteristic
95C11×#433C2211yescharacteristic, complemented
96#10622845C2211yescharacteristic, complemented
97C2×#66896C2211yescharacteristic
98#10622803C2211yescharacteristic, complemented
99#10622800C2211yescharacteristic, complemented
100#10622799C2211yescharacteristic, complemented
101#10622797C2211yescharacteristic, complemented
102#10622789C2211yescharacteristic
103#10622786C2211yescharacteristic, complemented
104#10622784C2211yescharacteristic
105#10622784C2211yescharacteristic, complemented
106#10622784C2211yescharacteristic, complemented
107#10622783C2211yescharacteristic
108#10622779C2211yescharacteristic
109#10622778C2211yescharacteristic
110#10622778C2211yescharacteristic, complemented
111#10622776C2211yescharacteristic, complemented
112#10622776C2211yescharacteristic, complemented
113#10622775C2211yescharacteristic, complemented
114SD16×Dic11C2211yescharacteristic, complemented
115#10622772C2211yescharacteristic
116#10622771C2211yescharacteristic
117#10622771C2211yescharacteristic, complemented
118#10622771C2211yescharacteristic, complemented
119#10622769C2211yescharacteristic
120#10622767C2211yescharacteristic
121#10622765C2211yescharacteristic
122#10622765C2211yescharacteristic, complemented
123#10622764C2211yescharacteristic, complemented
124#10622763C2211yescharacteristic
125#10622763C2211yescharacteristic, complemented
126#10622704C2211yescharacteristic, complemented
127#10622700C2211yescharacteristic, complemented
128#10622688C2211yescharacteristic
129#10622688C2211yescharacteristic, complemented
130#10622685C2211yescharacteristic
131#10622685C2211yescharacteristic, complemented
132#10622670C2211yescharacteristic
133#10622670C2211yescharacteristic, complemented
134#10622670C2211yescharacteristic, complemented
135#10622667C2211yescharacteristic
136#10622667C2211yescharacteristic, complemented
137#10622667C2211yescharacteristic, complemented
138#10622664C2211yescharacteristic, complemented
139#10622662C2211yescharacteristic
140#10622655C2211yescharacteristic, complemented
141#10622651C2211yescharacteristic
142#10622641C2211yescharacteristic, complemented
143#10622634C2211yescharacteristic, complemented
144#10622629C2211yescharacteristic, complemented
145#10622620C2211yescharacteristic, complemented
146#10622612C2211yescharacteristic, complemented
147#10622464C2211yescharacteristic, complemented
148#10622458C2211yescharacteristic, complemented
149#10622457C2211yescharacteristic, complemented
150#10622455C2211yescharacteristic, complemented
151#10622453C2211yescharacteristic, complemented
152#10622452C2211yescharacteristic, complemented
153#10622448C2211yescharacteristic, complemented
154D11×C4⋊C8C2211yescharacteristic, complemented
155#10622428C2211yescharacteristic, complemented
156#10622425C2211yescharacteristic, complemented
157#10622424C2211yescharacteristic, complemented
158#10622417C2211yescharacteristic, complemented
159#10622412C2211yescharacteristic, complemented
160#10622410C2211yescharacteristic, complemented
161#10622406C2211yescharacteristic, complemented
162#10622403C2211yescharacteristic, complemented
163#10622394C2211yescharacteristic, complemented
164#10622394C2211yescharacteristic, complemented
165#10622392C2211yescharacteristic
166#10622392C2211yescharacteristic
167#10622392C2211yescharacteristic, complemented
168#10622388C2211yescharacteristic
169#10622388C2211yescharacteristic
170#10622388C2211yescharacteristic, complemented
171#10622386C2211yescharacteristic
172#10622385C2211yescharacteristic, complemented
173#10622385C2211yescharacteristic, complemented
174#10622383C2211yescharacteristic
175#10622381C2211yescharacteristic
176#10622380C2211yescharacteristic
177#10622377C2211yescharacteristic
178#10622377C2211yescharacteristic, complemented
179#10622376C2211yescharacteristic
180#10622376C2211yescharacteristic, complemented
181#10622376C2211yescharacteristic, complemented
182#10622375C2211yescharacteristic
183#10622375C2211yescharacteristic, complemented
184#10622370C2211yescharacteristic
185#10622370C2211yescharacteristic, complemented
186#10622370C2211yescharacteristic, complemented
187#10622348C2211yescharacteristic
188#10622347C2211yescharacteristic
189#10622346C2211yescharacteristic, complemented
190#10622343C2211yescharacteristic
191#10622341C2211yescharacteristic
192#10622341C2211yescharacteristic, complemented
193(C22⋊D11)⋊C8C2211yescharacteristic, complemented
194#10622334C2211yescharacteristic, complemented
195#10622329C2211yescharacteristic, complemented
196#10622324C2211yescharacteristic, complemented
197#10622319C2211yescharacteristic, complemented
198#10622314C2211yescharacteristic, complemented
199C4×#4314C2211yescharacteristic, complemented
200C4×#4314C2211yescharacteristic, complemented
201C8×D44C2211yescharacteristic, complemented
202#10622292C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C22×D4×C11C2311yescharacteristic
205C22×C22⋊D11—21no—
206C2×#4343C2311yescharacteristic
207C2×Q8×D11C2311yescharacteristic
208C2×#4341—21no—
209C2×#4341—21no—
210C2×#4341C2311yescharacteristic
211C2×#4341C2311yescharacteristic
212C2×#4341C2311yescharacteristic
213C2×D4×D11C2311yescharacteristic
214C2×#4339C2311yescharacteristic
215C2×C11×Q16C2311yescharacteristic
216C2×C11×SD16C2311yescharacteristic
217C2×C11×SD16C2311yescharacteristic
218C2×C11×SD16C2311yescharacteristic
219C2×C11×SD16C2311yescharacteristic
220C2×C11×D8C2311yescharacteristic
221C2×C11×D8C2311yescharacteristic
222C2×C11×D8C2311yescharacteristic
223C11×C4⋊Q8C2311yescharacteristic
224C11×#127C2311yescharacteristic
225C11×#127C2311yescharacteristic
226C11×#126—21no—
227C11×#124—21no—
228C11×#124C2311yescharacteristic
229C11×#124C2311yescharacteristic
230C11×#124C2311yescharacteristic
231C11×#123—21no—
232C11×C22⋊Q8—21no—
233C11×C22⋊Q8C2311yescharacteristic
234C11×#121—21no—
235C11×#121—21no—
236C11×#121C2311yescharacteristic
237C11×#120—21no—
238C11×#120—21no—
239C4×Q8×C11C2311yescharacteristic
240C4×D4×C11C2311yescharacteristic
241C11×#117C2311yescharacteristic
242#67006—21no—
243#67006—21no—
244C2×C22⋊Dic11—21no—
245#67003—42no—
246#67000—21no—
247#67000—21no—
248#67000C2311yescharacteristic
249#66999C2311yescharacteristic
250#66999C2311yescharacteristic
251Q8×Dic11—21no—
252Q8×Dic11C2311yescharacteristic
253Q8×Dic11C2311yescharacteristic
254#66997—21no—
255#66997C2311yescharacteristic
256C2×#4326C2311yescharacteristic
257C2×#4326C2311yescharacteristic
258C2×#4325C2311yescharacteristic
259C2×#4325C2311yescharacteristic
260#66993—21no—
261#66993—21no—
262#66993—21no—
263#66993C2311yescharacteristic
264#66993C2311yescharacteristic
265#66993C2311yescharacteristic
266#66992—21no—
267#66992—21no—
268#66992—21no—
269#66992—21no—
270#66992—21no—
271#66992—21no—
272#66992—21no—
273#66992—21no—
274#66992—21no—
275#66992—21no—
276#66992—21no—
277#66991—21no—
278#66991—21no—
279#66991—21no—
280#66991C2311yescharacteristic
281#66991C2311yescharacteristic
282#66991C2311yescharacteristic
283#66991C2311yescharacteristic
284#66990—21no—
285#66990—21no—
286#66990—21no—
287#66989—21no—
288#66989C2311yescharacteristic
289#66988—21no—
290#66988—21no—
291D4×Dic11—21no—
292D4×Dic11—21no—
293D4×Dic11—21no—
294D4×Dic11C2311yescharacteristic
295D4×Dic11C2311yescharacteristic
296D4×Dic11C2311yescharacteristic
297D4×Dic11C2311yescharacteristic
298C2×#4324C2311yescharacteristic
299C2×#4324C2311yescharacteristic
300C2×#4324C2311yescharacteristic
301C2×#4324C2311yescharacteristic
302#66985—42no—
303C2×#4323C2311yescharacteristic
304C2×#4323C2311yescharacteristic
305C2×#4323C2311yescharacteristic
306C2×#4323C2311yescharacteristic
307#66983—21no—
308#66983—21no—
309#66983C2311yescharacteristic
310#66982—21no—
311#66982—21no—
312C4×C22⋊D11—21no—
313C4×C22⋊D11—21no—
314C4×C22⋊D11C2311yescharacteristic
315C4×C22⋊D11C2311yescharacteristic
316C2×C4⋊Dic11C2311yescharacteristic
317#66977C2311yescharacteristic
318C2×Dic11⋊C4—21no—
319C2×C4×Dic11—21no—
320C2×#4318C2311yescharacteristic
321C22×C11⋊C8C2311yescharacteristic
322#66969—42no—
323#66968—42no—
324SD16×D11—42no—
325#66965—42no—
326C2×Dic44C2311yescharacteristic
327C2×D88C2311yescharacteristic
328C2×#4314C2311yescharacteristic
329C2×#4314C2311yescharacteristic
330C2×#4313C2311yescharacteristic
331C2×C8×D11C2311yescharacteristic
332C2×C8×D11C2311yescharacteristic
333C2×C8×D11C2311yescharacteristic
334#66951—21no—
335#66951—21no—
336#66951—21no—
337#66951D411yescharacteristic
338#66949—21no—
339#66949—21no—
340#66949D411yescharacteristic
341#66948—21no—
342#66948C2311yescharacteristic
343#66948C2311yescharacteristic
344#66947—21no—
345#66947D411yescharacteristic
346#66946—21no—
347#66945—21no—
348#66945—21no—
349#66945—21no—
350#66945C2311yescharacteristic
351#66945C2311yescharacteristic
352C4⋊C4×D11—21no—
353#66943—21no—
354#66943C2311yescharacteristic
355#66943C2311yescharacteristic
356#66942—21no—
357#66942—21no—
358#66942D411yescharacteristic
359#66940—21no—
360#66940C2311yescharacteristic
361#66940C2311yescharacteristic
362#66939—21no—
363#66939—21no—
364#66939—21no—
365#66939—21no—
366#66938—21no—
367#66938—21no—
368#66938—21no—
369#66938—21no—
370#66938—21no—
371#66938D411yescharacteristic
372#66937—21no—
373#66937—21no—
374#66937—21no—
375#66937—21no—
376#66937—21no—
377#66937—21no—
378#66937—21no—
379#66937D411yescharacteristic
380#66936—21no—
381#66936—21no—
382#66936—21no—
383#66936—21no—
384#66936D411yescharacteristic
385#66935—21no—
386(C22⋊D11)⋊C4—21no—
387(C22⋊D11)⋊C4—21no—
388(C22⋊D11)⋊C4—21no—
389(C22⋊D11)⋊C4—21no—
390(C22⋊D11)⋊C4—21no—
391(C22⋊D11)⋊C4—21no—
392(C22⋊D11)⋊C4—21no—
393(C22⋊D11)⋊C4—21no—
394C22⋊C4×D11—21no—
395#66932—21no—
396#66932—21no—
397#66932—21no—
398#66932—21no—
399#66932D411yescharacteristic
400#66931—21no—
401#66931—21no—
402#66931—21no—
403#66930—21no—
404#66930—21no—
405#66930—21no—
406#66928C2311yescharacteristic
407C4×D44—21no—
408C4×D44C2311yescharacteristic
409C4×D44C2311yescharacteristic
410C4×D44C2311yescharacteristic
411C4×D44C2311yescharacteristic
412#66925—21no—
413#66925—21no—
414#66925C2311yescharacteristic
415C42×D11C2311yescharacteristic
416#66922C2311yescharacteristic
417C4×Dic22—21no—
418C4×Dic22C2311yescharacteristic
419C4×Dic22C2311yescharacteristic
420C4×Dic22C2311yescharacteristic
421C4×Dic22C2311yescharacteristic
422C11×C4⋊C8C2311yescharacteristic
423C11×C4⋊C8C2311yescharacteristic
424C11×#103C2311yescharacteristic
425C11×#103C2311yescharacteristic
426C11×#102C2311yescharacteristic
427C11×#102C2311yescharacteristic
428C11×#102C2311yescharacteristic
429C11×#102C2311yescharacteristic
430C11×#102C2311yescharacteristic
431C11×#102C2311yescharacteristic
432C11×C22⋊C8C2311yescharacteristic
433C11×C22⋊C8C2311yescharacteristic
434C11×#97C2311yescharacteristic
435C4×C8×C11C2311yescharacteristic
436#66899C2311yescharacteristic
437#66899C2311yescharacteristic
438#66899C2311yescharacteristic
439#66899C2311yescharacteristic
440#66896C2311yescharacteristic
441#66896C2311yescharacteristic
442#66896C2311yescharacteristic
443#66896C2311yescharacteristic
444#66896C2311yescharacteristic
445#66896C2311yescharacteristic
446#66896C2311yescharacteristic
447#66896C2311yescharacteristic
448#66885C2311yescharacteristic
449#66885C2311yescharacteristic
450#66885C2311yescharacteristic
451#66885C2311yescharacteristic
452(C2×D11)⋊C8C2311yescharacteristic
453(C2×D11)⋊C8C2311yescharacteristic
454(C2×D11)⋊C8C2311yescharacteristic
455(C2×D11)⋊C8C2311yescharacteristic
456#66881C2311yescharacteristic
457#66881C2311yescharacteristic
458#66881C2311yescharacteristic
459#66881C2311yescharacteristic
460#66880C2311yescharacteristic
461#66880C2311yescharacteristic
462#66880C2311yescharacteristic
463#66880C2311yescharacteristic
464#66879C2311yescharacteristic
465#66879C2311yescharacteristic
466#66879C2311yescharacteristic
467Dic11⋊C8C2311yescharacteristic
468Dic11⋊C8C2311yescharacteristic
469Dic11⋊C8C2311yescharacteristic
470Dic11⋊C8C2311yescharacteristic
471C8×Dic11C2311yescharacteristic
472#66874C2311yescharacteristic
473#66874C2311yescharacteristic
474#66873C2311yescharacteristic
475#66873C2311yescharacteristic
476#66871C2311yescharacteristic
477#66871C2311yescharacteristic
478#66871C2311yescharacteristic
479#66871C2311yescharacteristic
480C4⋊(C11⋊C8)C2311yescharacteristic
481C4⋊(C11⋊C8)C2311yescharacteristic
482C4⋊(C11⋊C8)C2311yescharacteristic
483C4⋊(C11⋊C8)C2311yescharacteristic
484#62026—111nomaximal, Sylow
485C24×C11—21no—
486C23×D11—21no—
487C11×#41—41no—
488C11×#41—41no—
489C2×Q8×C11—21no—
490C2×Q8×C11C2411yescharacteristic
491C2×Q8×C11C2411yescharacteristic
492C2×D4×C11—21no—
493C2×D4×C11—21no—
494C2×D4×C11—21no—
495C2×D4×C11—21no—
496C2×D4×C11—21no—
497C2×D4×C11—21no—
498C2×D4×C11—21no—
499C2×D4×C11—41no—
500C2×D4×C11—41no—
501C2×D4×C11C2411yescharacteristic
502C2×D4×C11C2411yescharacteristic
503C2×D4×C11C2411yescharacteristic
504C2×D4×C11C2411yescharacteristic
505C22×C4×C11—21no—
506C22×C4×C11—21no—
507C22×C4×C11C2411yescharacteristic
508C2×C22⋊D11—21no—
509C2×C22⋊D11—21no—
510C2×C22⋊D11—21no—
511C2×C22⋊D11—21no—
512C2×C22⋊D11—21no—
513C2×C22⋊D11—21no—
514C2×C22⋊D11—21no—
515C2×C22⋊D11—21no—
516C2×C22⋊D11—21no—
517C2×C22⋊D11—21no—
518C2×C22⋊D11—21no—
519C2×C22⋊D11—21no—
520C2×C22⋊D11—21no—
521C2×C22⋊D11—21no—
522C2×C22⋊D11—21no—
523C2×C22⋊D11—21no—
524C2×C22⋊D11—82no—
525C2×C22⋊D11C2×D411yescharacteristic
526C2×C22⋊D11C2×D411yescharacteristic
527C22×Dic11—21no—
528C22×Dic11—21no—
529C22×Dic11—21no—
530C22×Dic11—21no—
531C22×Dic11—21no—
532C22×Dic11—21no—
533C22×Dic11—21no—
534C22×Dic11—21no—
535#4343—41no—
536#4343—41no—
537Q8×D11—22no—
538Q8×D11—41no—
539#4341—22no—
540#4341—41no—
541#4341—41no—
542#4341—41no—
543#4341—41no—
544#4341—41no—
545#4341—82no—
546#4341—82no—
547D4×D11—41no—
548D4×D11—41no—
549#4339—22no—
550#4339—41no—
551C2×D44—21no—
552C2×D44—21no—
553C2×D44—21no—
554C2×D44C2×D411yescharacteristic
555C2×D44C2411yescharacteristic
556C2×D44C2411yescharacteristic
557C2×C4×D11—21no—
558C2×C4×D11—21no—
559C2×C4×D11—21no—
560C2×C4×D11—21no—
561C2×C4×D11—21no—
562C2×C4×D11—21no—
563C2×C4×D11C2×D411yescharacteristic
564C2×C4×D11C2×D411yescharacteristic
565C2×C4×D11C2411yescharacteristic
566C2×C4×D11C2411yescharacteristic
567C2×Dic22—21no—
568C2×Dic22—21no—
569C2×Dic22C2×D411yescharacteristic
570C2×Dic22C2411yescharacteristic
571C2×Dic22C2411yescharacteristic
572C11×Q16—41no—
573C11×SD16—41no—
574C11×SD16—41no—
575C11×SD16—41no—
576C11×SD16—41no—
577C11×D8—41no—
578C11×D8—41no—
579C11×D8—41no—
580C2×C8×C11C2411yescharacteristic
581C2×C8×C11C2411yescharacteristic
582C2×C8×C11C2411yescharacteristic
583C2×C8×C11C2411yescharacteristic
584C11×C4⋊C4—21no—
585C11×C4⋊C4—21no—
586C11×C4⋊C4—21no—
587C11×C4⋊C4C2×D411yescharacteristic
588C11×C4⋊C4C2×D411yescharacteristic
589C11×C4⋊C4C2411yescharacteristic
590C11×C4⋊C4C2411yescharacteristic
591C11×C22⋊C4—21no—
592C11×C22⋊C4—21no—
593C11×C22⋊C4—21no—
594C11×C22⋊C4—21no—
595C11×C22⋊C4—21no—
596C11×C22⋊C4—21no—
597C11×C22⋊C4—21no—
598C11×C22⋊C4—21no—
599C11×C22⋊C4—21no—
600C11×C22⋊C4C2×D411yescharacteristic
601C11×C22⋊C4C2×D411yescharacteristic
602C42×C11—21no—
603C42×C11C2411yescharacteristic
604C42×C11C2411yescharacteristic
605C22⋊Dic11—21no—
606C22⋊Dic11—21no—
607C22⋊Dic11—21no—
608C22⋊Dic11—21no—
609C22⋊Dic11—21no—
610C22⋊Dic11—21no—
611C22⋊Dic11—21no—
612C22⋊Dic11—21no—
613C22⋊Dic11—21no—
614C22⋊Dic11—21no—
615C22⋊Dic11—21no—
616C22⋊Dic11C2×D411yescharacteristic
617C22⋊Dic11C2×D411yescharacteristic
618#4326—22no—
619#4326—41no—
620#4325—41no—
621#4325—41no—
622#4324—22no—
623#4324—22no—
624#4324—22no—
625#4324—41no—
626#4323—41no—
627#4323—41no—
628#4323—41no—
629#4323—41no—
630(C2×D11)⋊C4—21no—
631(C2×D11)⋊C4—21no—
632(C2×D11)⋊C4—21no—
633(C2×D11)⋊C4—21no—
634(C2×D11)⋊C4—21no—
635(C2×D11)⋊C4—21no—
636(C2×D11)⋊C4—21no—
637(C2×D11)⋊C4—21no—
638(C2×D11)⋊C4—21no—
639(C2×D11)⋊C4—21no—
640(C2×D11)⋊C4—21no—
641(C2×D11)⋊C4—21no—
642(C2×D11)⋊C4—21no—
643(C2×D11)⋊C4—21no—
644(C2×D11)⋊C4C2×D411yescharacteristic
645(C2×D11)⋊C4C2×D411yescharacteristic
646(C2×D11)⋊C4C2×D411yescharacteristic
647(C2×D11)⋊C4C2×D411yescharacteristic
648(C2×D11)⋊C4C2×D411yescharacteristic
649(C2×D11)⋊C4C2×D411yescharacteristic
650C4⋊Dic11—21no—
651C4⋊Dic11—21no—
652C4⋊Dic11—21no—
653C4⋊Dic11—21no—
654C4⋊Dic11—21no—
655C4⋊Dic11—21no—
656C4⋊Dic11C2×D411yescharacteristic
657C4⋊Dic11C2×D411yescharacteristic
658C4⋊Dic11C2411yescharacteristic
659C4⋊Dic11C2411yescharacteristic
660C4⋊Dic11C2411yescharacteristic
661C4⋊Dic11C2411yescharacteristic
662Dic11⋊C4—21no—
663Dic11⋊C4—21no—
664Dic11⋊C4—21no—
665Dic11⋊C4—21no—
666Dic11⋊C4—21no—
667Dic11⋊C4—21no—
668Dic11⋊C4—21no—
669Dic11⋊C4—21no—
670Dic11⋊C4—21no—
671Dic11⋊C4—21no—
672Dic11⋊C4—21no—
673Dic11⋊C4—21no—
674Dic11⋊C4C2×D411yescharacteristic
675Dic11⋊C4C2×D411yescharacteristic
676Dic11⋊C4C2×D411yescharacteristic
677Dic11⋊C4C2×D411yescharacteristic
678Dic11⋊C4C2×D411yescharacteristic
679Dic11⋊C4C2×D411yescharacteristic
680C4×Dic11—21no—
681C4×Dic11—21no—
682C4×Dic11—21no—
683C4×Dic11—21no—
684C4×Dic11—21no—
685C4×Dic11—21no—
686C4×Dic11—21no—
687C4×Dic11—21no—
688C4×Dic11—21no—
689C4×Dic11C2×D411yescharacteristic
690C4×Dic11C2×D411yescharacteristic
691C4×Dic11C2411yescharacteristic
692C4×Dic11C2411yescharacteristic
693#4318—41no—
694C2×C11⋊C8—41no—
695C2×C11⋊C8C2411yescharacteristic
696C2×C11⋊C8C2411yescharacteristic
697C2×C11⋊C8C2411yescharacteristic
698C2×C11⋊C8C2411yescharacteristic
699Dic44—22no—
700D88—41no—
701#4314—22no—
702#4314—41no—
703#4313—41no—
704C8×D11—41no—
705C8×D11—41no—
706C8×D11—41no—
707#3546—111no—
708#3524—111no—
709#3401—111no—
710#3399—111no—
711#3377—111no—
712#3368—111no—
713#3319—111no—
714#3318—111no—
715#3317—111no—
716#3307—111no—
717#3305—111no—
718#3296—111no—
719#3287—111no—
720#3282—111no—
721#3271—111no—
722#3269—111no—
723#3268—111no—
724#3265—111no—
725#3262—111no—
726#3257—111no—
727#3247—111no—
728#3224D1111yescharacteristic, complemented
729#3220—111no—
730#3219—111no—
731#3125—111no—
732#3121—111no—
733#3115—111no—
734#3045—111no—
735#3043—111no—
736#3035—111no—
737#2992—111no—
738C23×C11—21no—
739C23×C11—21no—
740C23×C11—21no—
741C23×C11—21no—
742C23×C11—81no—
743C23×C11—81no—
744C23×C11—81no—
745C23×C11C22×D411yescharacteristic
746C22×D11—21no—
747C22×D11—21no—
748C22×D11—81no—
749C22×D11—81no—
750C22×D11—81no—
751C22×D11C22×D411yescharacteristic
752C22×D11C22×D411yescharacteristic
753Q8×C11—21no—
754Q8×C11—21no—
755Q8×C11—21no—
756Q8×C11—21no—
757Q8×C11—81no—
758D4×C11—21no—
759D4×C11—21no—
760D4×C11—21no—
761D4×C11—21no—
762D4×C11—21no—
763D4×C11—21no—
764D4×C11—21no—
765D4×C11—21no—
766D4×C11—81no—
767D4×C11—81no—
768D4×C11—81no—
769D4×C11—81no—
770D4×C11—81no—
771D4×C11—81no—
772D4×C11—81no—
773C2×C4×C11—21no—
774C2×C4×C11—21no—
775C2×C4×C11—21no—
776C2×C4×C11—21no—
777C2×C4×C11—21no—
778C2×C4×C11—21no—
779C2×C4×C11—81no—
780C2×C4×C11—81no—
781C2×C4×C11C22×D411yescharacteristic
782C2×C4×C11C22×D411yescharacteristic
783C2×C4×C11C22×D411yescharacteristic
784C2×C4×C11C22×D411yescharacteristic
785C2×C4×C11C22×D411yescharacteristic
786C2×C4×C11C2511yescharacteristic
787C22⋊D11—41no—
788C22⋊D11—41no—
789C22⋊D11—42no—
790C22⋊D11—42no—
791C22⋊D11—42no—
792C22⋊D11—81no—
793C22⋊D11—81no—
794C22⋊D11—81no—
795C22⋊D11—81no—
796C22⋊D11—81no—
797C22⋊D11—81no—
798C22⋊D11—81no—
799C22⋊D11—81no—
800C22⋊D11—81no—
801C22⋊D11—81no—
802C22⋊D11—81no—
803C22⋊D11—81no—
804C22⋊D11—81no—
805C2×Dic11—21no—
806C2×Dic11—21no—
807C2×Dic11—21no—
808C2×Dic11—21no—
809C2×Dic11—21no—
810C2×Dic11—21no—
811C2×Dic11—42no—
812C2×Dic11—42no—
813C2×Dic11—42no—
814C2×Dic11—81no—
815C2×Dic11—81no—
816C2×Dic11—81no—
817C2×Dic11—81no—
818C2×Dic11—81no—
819C2×Dic11C22×D411yescharacteristic
820C2×Dic11C22×D411yescharacteristic
821C2×Dic11C22×D411yescharacteristic
822C2×Dic11C22×D411yescharacteristic
823C2×Dic11C22×D411yescharacteristic
824C2×Dic11C22×D411yescharacteristic
825D44—21no—
826D44—21no—
827D44—21no—
828D44—21no—
829D44—41no—
830D44—81no—
831D44—81no—
832D44—81no—
833C4×D11—21no—
834C4×D11—21no—
835C4×D11—21no—
836C4×D11—21no—
837C4×D11—41no—
838C4×D11—41no—
839C4×D11—42no—
840C4×D11—42no—
841C4×D11—81no—
842C4×D11—81no—
843C4×D11—81no—
844C4×D11—81no—
845Dic22—21no—
846Dic22—21no—
847Dic22—21no—
848Dic22—41no—
849Dic22—42no—
850Dic22—81no—
851Dic22H(5,𝔽2)12yes—
852C8×C11—21no—
853C8×C11—21no—
854C8×C11—21no—
855C8×C11—21no—
856C11⋊C8—21no—
857C11⋊C8—21no—
858C11⋊C8—21no—
859C11⋊C8—21no—
860C2×#137—111no—
861C2×AGL(1,ℤ/8)—111no—
862C2×#135—111no—
863C2×#135—111no—
864C2×#135—111no—
865C22×SD16—111no—
866#560—221no—
867#560—221no—
868#559—111no—
869#559—221no—
870#557—111no—
871#556—111no—
872#555—111no—
873#555—221no—
874#553—111no—
875#553—221no—
876#553—221no—
877#552—111no—
878#552—221no—
879#550—111no—
880#550—111no—
881#550—111no—
882#550—111no—
883#548—111no—
884#548—111no—
885#547—111no—
886#546—111no—
887#546—111no—
888#546—221no—
889D42—111no—
890#542—111no—
891#542—111no—
892#542—221no—
893#542C2×D1111yescharacteristic, complemented
894#540—111no—
895#540—221no—
896#538—221no—
897#538—221no—
898#537—221no—
899#535—111no—
900#535—221no—
901#535C2×D1111yescharacteristic
902#532—111no—
903#532—111no—
904#529—111no—
905#529—111no—
906#529—221no—
907#529—221no—
908#520—111no—
909#519—111no—
910C4×#41—111no—
911#497—111no—
912#496—111no—
913#496—111no—
914#496C2×D1111yescharacteristic, complemented
915#495C2×D1111yescharacteristic
916#493—111no—
917#491—111no—
918#490—111no—
919#490—111no—
920#489C2×D1111yescharacteristic
921#488—111no—
922#486C2×D1111yescharacteristic, complemented
923#485—111no—
924#483—111no—
925#482—111no—
926#482—111no—
927#482—111no—
928#481—111no—
929#479—111no—
930#478—111no—
931#478—111no—
932#478—111no—
933#477—111no—
934#477—111no—
935#476—111no—
936#475—111no—
937#474—111no—
938#474—111no—
939#469—111no—
940#468—111no—
941#468—111no—
942#468—111no—
943#467—111no—
944#466—111no—
945#466—111no—
946#466—111no—
947#466—111no—
948#465—111no—
949#465—111no—
950#465—111no—
951#464—111no—
952#464—111no—
953#464—111no—
954#464—111no—
955#464—111no—
956#464—111no—
957#464—111no—
958#464C2×D1111yescharacteristic, complemented
959#463—111no—
960#463—111no—
961#463—111no—
962#463—111no—
963#463—111no—
964#463—111no—
965#463—111no—
966#463C2×D1111yescharacteristic, complemented
967#462—111no—
968#461—111no—
969#460—111no—
970#460—111no—
971#460—111no—
972#460—111no—
973#460—111no—
974#460—111no—
975#460C2×D1111yescharacteristic
976#459—111no—
977#459—111no—
978#459—111no—
979#459—111no—
980#459C2×D1111yescharacteristic
981#452—111no—
982#452—111no—
983#452—111no—
984#452C2×D1111yescharacteristic, complemented
985#451—111no—
986#450C2×D1111yescharacteristic
987#449—111no—
988#449—111no—
989#449—111no—
990#449—111no—
991#449—111no—
992#449—111no—
993#449—111no—
994#449C2×D1111yescharacteristic, complemented
995#448—111no—
996#447—111no—
997#447—111no—
998#447C2×D1111yescharacteristic
999#446—111no—
1000#446—111no—
1001#442—111no—
1002#442—111no—
1003#442—111no—
1004#441—111no—
1005#441—111no—
1006#440—111no—
1007#440—111no—
1008#440—111no—
1009C4×Q16—111no—
1010C4×SD16—111no—
1011C4×SD16—111no—
1012C4×SD16—111no—
1013#435—111no—
1014#435—111no—
1015#435—111no—
1016#435—111no—
1017C8×D4—111no—
1018C8×D4—111no—
1019#433—111no—
1020#433C2×D1111yescharacteristic, complemented
1021#432—111no—
1022#424—111no—
1023#424—111no—
1024C2×C4⋊C8—111no—
1025#418—111no—
1026#417—111no—
1027#416—111no—
1028#416—111no—
1029#416—111no—
1030C2×#102—111no—
1031C22×C11—21no—
1032C22×C11—21no—
1033C22×C11—21no—
1034C22×C11—41no—
1035C22×C11—41no—
1036C22×C11—41no—
1037C22×C11—41no—
1038C22×C11—41no—
1039C22×C11—41no—
1040C22×C11—41no—
1041C22×C11—41no—
1042C22×C11—41no—
1043C22×C11—41no—
1044C22×C11—41no—
1045C22×C11—41no—
1046C22×C11—162no—
1047C22×C11C23×D411yescharacteristic
1048C2×D11—21no—
1049C2×D11—21no—
1050C2×D11—21no—
1051C2×D11—21no—
1052C2×D11—21no—
1053C2×D11—21no—
1054C2×D11—41no—
1055C2×D11—41no—
1056C2×D11—41no—
1057C2×D11—41no—
1058C2×D11—41no—
1059C2×D11—41no—
1060C2×D11—162no—
1061C4×C11—21no—
1062C4×C11—21no—
1063C4×C11—21no—
1064C4×C11—21no—
1065C4×C11—21no—
1066C4×C11—41no—
1067C4×C11—41no—
1068C4×C11—41no—
1069C4×C11—41no—
1070C4×C11C2×H(5,𝔽2)11yescharacteristic
1071C4×C11#58511yescharacteristic
1072Dic11—21no—
1073Dic11—21no—
1074Dic11—21no—
1075Dic11—21no—
1076Dic11—22no—
1077Dic11—21no—
1078Dic11—21no—
1079Dic11—41no—
1080Dic11—41no—
1081Dic11—41no—
1082Dic11—41no—
1083Dic11—41no—
1084C2×#41—111no—
1085C2×#41—111no—
1086C2×#41—111no—
1087C2×#41—111no—
1088C2×#41—111no—
1089C2×#41—221no—
1090C2×#41—221no—
1091C2×#41C22×D1111yescharacteristic
1092C22×Q8—111no—
1093C22×D4—111no—
1094C22×D4—221no—
1095C22×D4C22×D1111yescharacteristic
1096#137—442no—
1097AGL(1,ℤ/8)—442no—
1098#135—442no—
1099#135—442no—
1100#135—442no—
1101C2×Q16—111no—
1102C2×Q16—111no—
1103C2×Q16—111no—
1104C2×Q16C22×D1111yescharacteristic
1105C2×SD16—111no—
1106C2×SD16—111no—
1107C2×SD16—111no—
1108C2×SD16—111no—
1109C2×SD16—111no—
1110C2×SD16—111no—
1111C2×SD16—111no—
1112C2×SD16—111no—
1113C2×SD16—442no—
1114C2×SD16C22×D1111yescharacteristic
1115C2×SD16C22×D1111yescharacteristic
1116C2×SD16C22×D1111yescharacteristic
1117C2×SD16C22×D1111yescharacteristic
1118C2×D8—111no—
1119C2×D8—111no—
1120C2×D8—111no—
1121C2×D8—111no—
1122C2×D8—111no—
1123C2×D8C22×D1111yescharacteristic
1124C2×D8C22×D1111yescharacteristic
1125C2×D8C22×D1111yescharacteristic
1126C2×M16—111no—
1127C2×M16—111no—
1128C22×C8—111no—
1129C22×C8—111no—
1130C22×C8—111no—
1131C22×C8—111no—
1132C4⋊Q8—111no—
1133C4⋊Q8—111no—
1134C4⋊Q8—221no—
1135C4⋊Q8C22×D1111yescharacteristic
1136#127—111no—
1137#127—111no—
1138#127—111no—
1139#127—221no—
1140#127—221no—
1141#127—221no—
1142#127C22×D1111yescharacteristic
1143#127C22×D1111yescharacteristic
1144#126—21no—
1145#126—111no—
1146#126—111no—
1147#126—221no—
1148#126—221no—
1149#126—221no—
1150#126—221no—
1151#126—221no—
1152#126—221no—
1153#126—221no—
1154#125—111no—
1155#125—111no—
1156#125—111no—
1157#125—221no—
1158#125—221no—
1159#125—221no—
1160#124—21no—
1161#124—111no—
1162#124—111no—
1163#124—111no—
1164#124—111no—
1165#124—221no—
1166#124—221no—
1167#124—221no—
1168#124—221no—
1169#124—221no—
1170#124—221no—
1171#124—221no—
1172#124—221no—
1173#124C22×D1111yescharacteristic
1174#124C22×D1111yescharacteristic
1175#124C22×D1111yescharacteristic
1176#123—21no—
1177#123—111no—
1178#123—111no—
1179#123—221no—
1180#123—221no—
1181#123—221no—
1182#123—221no—
1183#123—221no—
1184#123—221no—
1185#123—221no—
1186#123—221no—
1187#123—221no—
1188#123—221no—
1189#123—221no—
1190#123—221no—
1191#123—221no—
1192C22⋊Q8—21no—
1193C22⋊Q8—111no—
1194C22⋊Q8—111no—
1195C22⋊Q8—111no—
1196C22⋊Q8—111no—
1197C22⋊Q8—221no—
1198C22⋊Q8—221no—
1199C22⋊Q8—221no—
1200C22⋊Q8—221no—
1201C22⋊Q8—221no—
1202C22⋊Q8C22×D1111yescharacteristic
1203#121—21no—
1204#121—21no—
1205#121—111no—
1206#121—111no—
1207#121—111no—
1208#121—111no—
1209#121—111no—
1210#121—111no—
1211#121—111no—
1212#121—111no—
1213#121—221no—
1214#121—221no—
1215#121—221no—
1216#121—221no—
1217#121—221no—
1218#121—221no—
1219#121—221no—
1220#121—221no—
1221#121—221no—
1222#121—221no—
1223#121—221no—
1224#121—221no—
1225#121—221no—
1226#121—221no—
1227#121—221no—
1228#121—221no—
1229#121—221no—
1230#121—221no—
1231#121—221no—
1232#121—221no—
1233#121—221no—
1234#121—221no—
1235#121—221no—
1236#121—221no—
1237#121C22×D1111yescharacteristic
1238#120—21no—
1239#120—21no—
1240#120—221no—
1241#120—221no—
1242#120—221no—
1243#120—221no—
1244#120—221no—
1245#120—221no—
1246C4×Q8—111no—
1247C4×Q8—111no—
1248C4×Q8—111no—
1249C4×Q8—111no—
1250C4×Q8—111no—
1251C4×Q8—111no—
1252C4×Q8—111no—
1253C4×Q8—111no—
1254C4×Q8—221no—
1255C4×Q8—221no—
1256C4×Q8—221no—
1257C4×Q8C22×D1111yescharacteristic
1258C4×D4—111no—
1259C4×D4—111no—
1260C4×D4—111no—
1261C4×D4—111no—
1262C4×D4—111no—
1263C4×D4—111no—
1264C4×D4—111no—
1265C4×D4—111no—
1266C4×D4—111no—
1267C4×D4—111no—
1268C4×D4—221no—
1269C4×D4—221no—
1270C4×D4—221no—
1271C4×D4—221no—
1272C4×D4—221no—
1273C4×D4—221no—
1274C4×D4—221no—
1275C4×D4—221no—
1276C4×D4—221no—
1277C4×D4—221no—
1278C4×D4—221no—
1279C4×D4—221no—
1280C4×D4—221no—
1281C4×D4—221no—
1282C4×D4—221no—
1283C4×D4C22×D1111yescharacteristic
1284#117—111no—
1285#117—111no—
1286#117—111no—
1287#117—221no—
1288#117—221no—
1289#117—221no—
1290#117—221no—
1291#117—221no—
1292#117—221no—
1293#117—221no—
1294#117—221no—
1295#117C22×D1111yescharacteristic
1296C2×C4⋊C4—111no—
1297C2×C4⋊C4—221no—
1298C2×C4⋊C4—221no—
1299C2×C22⋊C4—221no—
1300C2×C22⋊C4—221no—
1301C2×C42—111no—
1302C2×C42—221no—
1303#107—111no—
1304#107—111no—
1305#107—111no—
1306#107—111no—
1307#106—111no—
1308#106—111no—
1309#106—111no—
1310#106—111no—
1311C4⋊C8—111no—
1312C4⋊C8—111no—
1313C4⋊C8—111no—
1314C4⋊C8—111no—
1315C4⋊C8—111no—
1316C4⋊C8—111no—
1317C4⋊C8—111no—
1318C4⋊C8—111no—
1319C4⋊C8C22×D1111yescharacteristic
1320C4⋊C8C22×D1111yescharacteristic
1321#103—111no—
1322#103—111no—
1323#103—111no—
1324#103—111no—
1325#103—111no—
1326#103—111no—
1327#103—111no—
1328#103—111no—
1329#103—111no—
1330#103—111no—
1331#103C22×D1111yescharacteristic
1332#103C22×D1111yescharacteristic
1333#102—111no—
1334#102—111no—
1335#102—111no—
1336#102—111no—
1337#102—111no—
1338#102—111no—
1339#102—111no—
1340#102—111no—
1341#102—111no—
1342#102—111no—
1343#102—111no—
1344#102—111no—
1345#102—111no—
1346#102—111no—
1347#102C22×D1111yescharacteristic
1348#102C22×D1111yescharacteristic
1349#102C22×D1111yescharacteristic
1350#102C22×D1111yescharacteristic
1351#102C22×D1111yescharacteristic
1352#102C22×D1111yescharacteristic
1353C22⋊C8—111no—
1354C22⋊C8—111no—
1355C22⋊C8—111no—
1356C22⋊C8—111no—
1357C22⋊C8C22×D1111yescharacteristic
1358C22⋊C8C22×D1111yescharacteristic
1359#97—111no—
1360#97—111no—
1361#97—111no—
1362#97C22×D1111yescharacteristic
1363C4×C8—111no—
1364C4×C8C22×D1111yescharacteristic
1365C2×C11—41no—
1366C2×C11—81no—
1367C2×C11—81no—
1368C2×C11—81no—
1369C2×C11—81no—
1370C2×C11#348811yescharacteristic
1371C2×C11#358411yescharacteristic
1372C2×C11#358511yescharacteristic
1373D11—41no—
1374D11—41no—
1375D11—81no—
1376D11—81no—
1377C24—21no—
1378C24—221no—
1379#41—41no—
1380#41—41no—
1381#41—222no—
1382#41—222no—
1383#41—441no—
1384#41—441no—
1385#41—441no—
1386#41—441no—
1387#41—441no—
1388#41—441no—
1389#41—441no—
1390#41—441no—
1391#41—882no—
1392#41—882no—
1393C2×Q8—21no—
1394C2×Q8—111no—
1395C2×Q8—111no—
1396C2×Q8—111no—
1397C2×Q8—221no—
1398C2×Q8—221no—
1399C2×Q8—222no—
1400C2×Q8—441no—
1401C2×Q8C23×D1111yescharacteristic
1402C2×Q8C23×D1111yescharacteristic
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—41no—
1411C2×D4—41no—
1412C2×D4—111no—
1413C2×D4—111no—
1414C2×D4—111no—
1415C2×D4—111no—
1416C2×D4—111no—
1417C2×D4—221no—
1418C2×D4—221no—
1419C2×D4—221no—
1420C2×D4—221no—
1421C2×D4—221no—
1422C2×D4—221no—
1423C2×D4—221no—
1424C2×D4—221no—
1425C2×D4—221no—
1426C2×D4—221no—
1427C2×D4—221no—
1428C2×D4—221no—
1429C2×D4—221no—
1430C2×D4—221no—
1431C2×D4—221no—
1432C2×D4—221no—
1433C2×D4—221no—
1434C2×D4—221no—
1435C2×D4—221no—
1436C2×D4—441no—
1437C2×D4—441no—
1438C2×D4—882no—
1439C2×D4C23×D1111yescharacteristic
1440C2×D4C23×D1111yescharacteristic
1441C2×D4C23×D1111yescharacteristic
1442C2×D4C23×D1111yescharacteristic
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—111no—
1446C22×C4—111no—
1447C22×C4—111no—
1448C22×C4—111no—
1449C22×C4—221no—
1450C22×C4—221no—
1451C22×C4—221no—
1452C22×C4—221no—
1453C22×C4—221no—
1454C22×C4—221no—
1455C22×C4—221no—
1456C22×C4—221no—
1457C22×C4—221no—
1458C22×C4—221no—
1459C22×C4—221no—
1460C22×C4—221no—
1461C22×C4—221no—
1462C22×C4—221no—
1463C22×C4C23×D1111yescharacteristic
1464Q16—41no—
1465Q16—222no—
1466Q16—222no—
1467Q16—441no—
1468SD16—41no—
1469SD16—41no—
1470SD16—41no—
1471SD16—41no—
1472SD16—222no—
1473SD16—222no—
1474SD16—222no—
1475SD16—222no—
1476SD16—441no—
1477SD16—441no—
1478SD16—441no—
1479SD16—441no—
1480D8—41no—
1481D8—41no—
1482D8—41no—
1483D8—441no—
1484D8—441no—
1485D8—441no—
1486D8—441no—
1487D8—441no—
1488M16—441no—
1489M16—441no—
1490C2×C8—111no—
1491C2×C8—111no—
1492C2×C8—111no—
1493C2×C8—111no—
1494C2×C8—441no—
1495C2×C8—441no—
1496C2×C8—441no—
1497C2×C8—441no—
1498C2×C8C23×D1111yescharacteristic
1499C2×C8C23×D1111yescharacteristic
1500C2×C8C23×D1111yescharacteristic
1501C2×C8C23×D1111yescharacteristic
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—111no—
1506C4⋊C4—111no—
1507C4⋊C4—111no—
1508C4⋊C4—111no—
1509C4⋊C4—111no—
1510C4⋊C4—111no—
1511C4⋊C4—111no—
1512C4⋊C4—111no—
1513C4⋊C4—111no—
1514C4⋊C4—111no—
1515C4⋊C4—111no—
1516C4⋊C4—111no—
1517C4⋊C4—221no—
1518C4⋊C4—221no—
1519C4⋊C4—221no—
1520C4⋊C4—221no—
1521C4⋊C4—221no—
1522C4⋊C4—221no—
1523C4⋊C4—221no—
1524C4⋊C4—221no—
1525C4⋊C4—221no—
1526C4⋊C4—221no—
1527C4⋊C4—221no—
1528C4⋊C4—221no—
1529C4⋊C4—221no—
1530C4⋊C4—221no—
1531C4⋊C4—221no—
1532C4⋊C4—221no—
1533C4⋊C4—221no—
1534C4⋊C4—221no—
1535C4⋊C4D4×D1111yescharacteristic
1536C4⋊C4D4×D1111yescharacteristic
1537C4⋊C4C23×D1111yescharacteristic
1538C4⋊C4C23×D1111yescharacteristic
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—111no—
1549C22⋊C4—111no—
1550C22⋊C4—111no—
1551C22⋊C4—111no—
1552C22⋊C4—111no—
1553C22⋊C4—111no—
1554C22⋊C4—111no—
1555C22⋊C4—111no—
1556C22⋊C4—221no—
1557C22⋊C4—221no—
1558C22⋊C4—221no—
1559C22⋊C4—221no—
1560C22⋊C4—221no—
1561C22⋊C4—221no—
1562C22⋊C4—221no—
1563C22⋊C4—221no—
1564C22⋊C4—221no—
1565C22⋊C4—221no—
1566C22⋊C4—221no—
1567C22⋊C4—221no—
1568C22⋊C4—221no—
1569C22⋊C4—221no—
1570C22⋊C4—221no—
1571C22⋊C4—221no—
1572C22⋊C4—221no—
1573C22⋊C4—221no—
1574C22⋊C4—221no—
1575C22⋊C4—221no—
1576C22⋊C4—221no—
1577C22⋊C4—221no—
1578C22⋊C4—221no—
1579C22⋊C4—221no—
1580C22⋊C4—221no—
1581C22⋊C4D4×D1111yescharacteristic
1582C22⋊C4D4×D1111yescharacteristic
1583C42—21no—
1584C42—111no—
1585C42—111no—
1586C42—111no—
1587C42—111no—
1588C42—221no—
1589C42—221no—
1590C42—221no—
1591C42—221no—
1592C42—221no—
1593C42—221no—
1594C42—221no—
1595C42—221no—
1596C42—221no—
1597C42C23×D1111yescharacteristic
1598C42C23×D1111yescharacteristic
1599C11#6202611yescharacteristic, complemented, Sylow
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—81no—
1605C23—81no—
1606C23—81no—
1607C23—111no—
1608C23—111no—
1609C23—221no—
1610C23—221no—
1611C23—881no—
1612C23—881no—
1613C23—881no—
1614C23C2×D4×D1111yescharacteristic
1615Q8—21no—
1616Q8—21no—
1617Q8—21no—
1618Q8—21no—
1619Q8—81no—
1620Q8—112no—
1621Q8—221no—
1622Q8—221no—
1623Q8—221no—
1624Q8—441no—
1625Q8—442no—
1626Q8—881no—
1627D4—21no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—81no—
1636D4—81no—
1637D4—81no—
1638D4—81no—
1639D4—81no—
1640D4—81no—
1641D4—81no—
1642D4—221no—
1643D4—221no—
1644D4—221no—
1645D4—221no—
1646D4—441no—
1647D4—441no—
1648D4—441no—
1649D4—442no—
1650D4—442no—
1651D4—442no—
1652D4—881no—
1653D4—881no—
1654D4—881no—
1655D4—881no—
1656D4—881no—
1657D4—881no—
1658D4—881no—
1659D4—881no—
1660D4—881no—
1661D4—881no—
1662D4—881no—
1663D4—881no—
1664D4—881no—
1665D4—881no—
1666D4—881no—
1667D4—881no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—81no—
1675C2×C4—81no—
1676C2×C4—111no—
1677C2×C4—111no—
1678C2×C4—111no—
1679C2×C4—111no—
1680C2×C4—111no—
1681C2×C4—111no—
1682C2×C4—221no—
1683C2×C4—221no—
1684C2×C4—221no—
1685C2×C4—221no—
1686C2×C4—221no—
1687C2×C4—221no—
1688C2×C4—221no—
1689C2×C4—221no—
1690C2×C4—221no—
1691C2×C4—221no—
1692C2×C4—441no—
1693C2×C4—441no—
1694C2×C4—442no—
1695C2×C4—442no—
1696C2×C4—442no—
1697C2×C4—442no—
1698C2×C4—442no—
1699C2×C4—881no—
1700C2×C4—881no—
1701C2×C4—881no—
1702C2×C4—881no—
1703C2×C4—881no—
1704C2×C4—881no—
1705C2×C4—881no—
1706C2×C4—881no—
1707C2×C4—881no—
1708C2×C4C2×D4×D1111yescharacteristic
1709C2×C4C2×D4×D1111yescharacteristic
1710C2×C4C2×D4×D1111yescharacteristic
1711C2×C4C2×D4×D1111yescharacteristic
1712C2×C4C2×D4×D1111yescharacteristic
1713C2×C4C24×D1111yescharacteristic
1714C8—21no—
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—221no—
1719C8—221no—
1720C8—221no—
1721C8—221no—
1722C22—21no—
1723C22—21no—
1724C22—21no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—162no—
1738C22—221no—
1739C22—221no—
1740C22—221no—
1741C22—221no—
1742C22—221no—
1743C22—221no—
1744C22—441no—
1745C22—441no—
1746C22—441no—
1747C22—441no—
1748C22—441no—
1749C22—441no—
1750C22—1762no—
1751C22C22×D4×D1111yescharacteristic
1752C4—21no—
1753C4—21no—
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—221no—
1762C4—221no—
1763C4—222no—
1764C4—221no—
1765C4—221no—
1766C4—221no—
1767C4—221no—
1768C4—441no—
1769C4—441no—
1770C4—441no—
1771C4—441no—
1772C4—441no—
1773C4D11×H(5,𝔽2)11yescharacteristic
1774C4#1062345511yescharacteristic
1775C2—41no—
1776C2—81no—
1777C2—81no—
1778C2—81no—
1779C2—81no—
1780C2—441no—
1781C2—441no—
1782C2—881no—
1783C2—881no—
1784C2#1308228311yescharacteristic
1785C2#1308338811yescharacteristic
1786C2#1308339111yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3224C2
socleC22×C11C23×D4
hypercenter#3224D11
hypocenterC11#62026
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ #117 ◁ #3224

Complements

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

NH ≅ G/Ntype
1. #13082977C2semidirect
2. #13082723C2semidirect
3. #13081688C2semidirect
4. #13081655C2semidirect
5. #13081457C2semidirect
6. #13081350C2semidirect
7. #13080771C2semidirect
8. #13080761C2semidirect
9. #13080735C2semidirect
10. #13080585C2semidirect
11. #13080565C2semidirect
12. #13080455C2semidirect
13. #13080369C2semidirect
14. #13080322C2semidirect
15. #13080200C2semidirect
16. #13080175C2semidirect
17. #13080154C2semidirect
18. #13080109C2semidirect
19. #13080072C2semidirect
20. #13080032C2semidirect
21. #13079940C2semidirect
22. #13079665C2semidirect
23. #13079658C2semidirect
24. #13078895C2semidirect
25. #13078842C2semidirect
26. #13078764C2semidirect
27. #13078151C2semidirect
28. #13078132C2semidirect
29. #13078068C2semidirect
30. #13077750C2semidirect
31. C11×#3224C2semidirect
32. C11×#542C22semidirect
36. C2×#67003C22semidirect
40. C2×#66969C22semidirect
41. C2×#66968C22semidirect
43. C2×#66965C22semidirect
44. #10623265C22semidirect
45. #10623252C22semidirect
54. #10623212C22semidirect
55. #10623208C22semidirect
62. #10623173C22semidirect
70. #10623130C22semidirect
76. #10623111C22semidirect
77. #10623103C22semidirect
78. #10623093C22semidirect
79. C4×#4341C22semidirect
82. #10623054C22semidirect
83. C11×#496C22semidirect
86. C11×#486C22semidirect
87. C11×#464C22semidirect
88. C11×#463C22semidirect
91. C11×#452C22semidirect
93. C11×#449C22semidirect
95. C11×#433C22semidirect
96. #10622845C22semidirect
98. #10622803C22semidirect
99. #10622800C22semidirect
100. #10622799C22semidirect
101. #10622797C22semidirect
103. #10622786C22semidirect
105. #10622784C22semidirect
106. #10622784C22semidirect
110. #10622778C22semidirect
111. #10622776C22semidirect
112. #10622776C22semidirect
113. #10622775C22semidirect
114. SD16×Dic11C22semidirect
117. #10622771C22semidirect
118. #10622771C22semidirect
122. #10622765C22semidirect
123. #10622764C22semidirect
125. #10622763C22semidirect
126. #10622704C22semidirect
127. #10622700C22semidirect
129. #10622688C22semidirect
131. #10622685C22semidirect
133. #10622670C22semidirect
134. #10622670C22semidirect
136. #10622667C22semidirect
137. #10622667C22semidirect
138. #10622664C22semidirect
140. #10622655C22semidirect
142. #10622641C22semidirect
143. #10622634C22semidirect
144. #10622629C22semidirect
145. #10622620C22semidirect
146. #10622612C22semidirect
147. #10622464C22semidirect
148. #10622458C22semidirect
149. #10622457C22semidirect
150. #10622455C22semidirect
151. #10622453C22semidirect
152. #10622452C22semidirect
153. #10622448C22semidirect
154. D11×C4⋊C8C22semidirect
155. #10622428C22semidirect
156. #10622425C22semidirect
157. #10622424C22semidirect
158. #10622417C22semidirect
159. #10622412C22semidirect
160. #10622410C22semidirect
161. #10622406C22semidirect
162. #10622403C22semidirect
163. #10622394C22semidirect
164. #10622394C22semidirect
167. #10622392C22semidirect
170. #10622388C22semidirect
172. #10622385C22semidirect
173. #10622385C22semidirect
178. #10622377C22semidirect
180. #10622376C22semidirect
181. #10622376C22semidirect
183. #10622375C22semidirect
185. #10622370C22semidirect
186. #10622370C22semidirect
189. #10622346C22semidirect
192. #10622341C22semidirect
193. (C22⋊D11)⋊C8C22semidirect
194. #10622334C22semidirect
195. #10622329C22semidirect
196. #10622324C22semidirect
197. #10622319C22semidirect
198. #10622314C22semidirect
199. C4×#4314C22semidirect
200. C4×#4314C22semidirect
201. C8×D44C22semidirect
202. #10622292C22semidirect
728. #3224D11semidirect
893. #542C2×D11semidirect
914. #496C2×D11semidirect
922. #486C2×D11semidirect
958. #464C2×D11semidirect
966. #463C2×D11semidirect
984. #452C2×D11semidirect
994. #449C2×D11semidirect
1020. #433C2×D11semidirect
1599. C11#62026semidirect

Maximal subgroups

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

subgroupindex
#130829772
#130827232
#130816882
#130816552
#130814572
#130813502
#130807712
#130807612
#130807352
#130805852
#130805652
#130804552
#130803692
#130803222
#130802002
#130801752
#130801542
#130801092
#130800722
#130800322
#130799402
#130796652
#130796582
#130788952
#130788422
#130787642
#130781512
#130781322
#130780682
#130777502
C11×#32242
#6202611