Finite Group Databasebeta

← #15647494

Subgroups — #15647494

Order 2816.

1786 conjugacy classes of subgroups.

The subgroup lattice has 1738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082721C211yesmaximal, characteristic, complemented
2#13081700C211yesmaximal, characteristic, complemented
3#13081665C211yesmaximal, characteristic, complemented
4#13081415C211yesmaximal, characteristic, complemented
5#13081378C211yesmaximal, characteristic, complemented
6#13080802C211yesmaximal, characteristic, complemented
7#13080787C211yesmaximal, characteristic, complemented
8#13080712C211yesmaximal, characteristic, complemented
9#13080622C211yesmaximal, characteristic, complemented
10#13080544C211yesmaximal, characteristic, complemented
11#13080503C211yesmaximal, characteristic, complemented
12#13080353C211yesmaximal, characteristic, complemented
13#13080342C211yesmaximal, characteristic, complemented
14#13080202C211yesmaximal, characteristic, complemented
15#13080197C211yesmaximal, characteristic, complemented
16#13080187C211yesmaximal, characteristic, complemented
17#13080167C211yesmaximal, characteristic, complemented
18#13080081C211yesmaximal, characteristic, complemented
19#13080027C211yesmaximal, characteristic, complemented
20#13079947C211yesmaximal, characteristic, complemented
21#13079725C211yesmaximal, characteristic, complemented
22#13079677C211yesmaximal, characteristic, complemented
23#13079653C211yesmaximal, characteristic, complemented
24#13078872C211yesmaximal, characteristic, complemented
25#13078839C211yesmaximal, characteristic, complemented
26#13078772C211yesmaximal, characteristic, complemented
27#13078162C211yesmaximal, characteristic, complemented
28#13078142C211yesmaximal, characteristic, complemented
29#13078065C211yesmaximal, characteristic, complemented
30#13077755C211yesmaximal, characteristic, complemented
31C11×#3554C211yesmaximal, characteristic, complemented
32C11×#562—21no—
33C11×#562—21no—
34C11×#559—21no—
35C11×#559C2211yescharacteristic
36C11×#557C2211yescharacteristic
37C11×#554—21no—
38C11×#550C2211yescharacteristic
39D4×Q8×C11C2211yescharacteristic
40C11×#548C2211yescharacteristic
41C11×#548C2211yescharacteristic
42C11×#547C2211yescharacteristic
43C11×#547C2211yescharacteristic
44C11×#542—21no—
45C11×#542C2211yescharacteristic
46C11×#542C2211yescharacteristic
47C11×#540—21no—
48C11×#539—21no—
49C11×#539—21no—
50C11×#536C2211yescharacteristic
51C11×#536C2211yescharacteristic
52C11×#533C2211yescharacteristic
53C11×#532C2211yescharacteristic
54C11×#529C2211yescharacteristic
55C2×#67004C2211yescharacteristic
56C2×#67003C2211yescharacteristic
57C2×#67003C2211yescharacteristic
58C2×#67003C2211yescharacteristic
59C22×#4326C2211yescharacteristic
60C2×#66995C2211yescharacteristic
61#10623237—21no—
62#10623237—21no—
63#10623224—21no—
64#10623201—21no—
65#10623195—21no—
66#10623192—21no—
67#10623171—21no—
68#10623146—21no—
69#10623116C2211yescharacteristic
70#10623098C2211yescharacteristic
71#10623096C2211yescharacteristic
72#10623094C2211yescharacteristic
73#10623084C2211yescharacteristic
74#10623083C2211yescharacteristic
75#10623083C2211yescharacteristic
76#10623072C2211yescharacteristic
77#10623066C2211yescharacteristic
78#10623065C2211yescharacteristic
79#10623054C2211yescharacteristic
80#10623047C2211yescharacteristic
81#10623010C2211yescharacteristic
82C4×#4339C2211yescharacteristic
83#10622852C2211yescharacteristic
84#10622852C2211yescharacteristic
85#10622852C2211yescharacteristic
86#10622851C2211yescharacteristic
87#10622851C2211yescharacteristic
88#10622851C2211yescharacteristic
89#10622851C2211yescharacteristic
90#10622851C2211yescharacteristic
91#10622846C2211yescharacteristic
92#10622846C2211yescharacteristic
93#10622846C2211yescharacteristic
94#10622845C2211yescharacteristic
95#10622841C2211yescharacteristic
96#10622840C2211yescharacteristic
97#10622840C2211yescharacteristic
98#10622840C2211yescharacteristic
99#10622838C2211yescharacteristic
100C2×#66899C2211yescharacteristic
101#10622707C2211yescharacteristic
102#10622704C2211yescharacteristic
103#10622703C2211yescharacteristic
104#10622703C2211yescharacteristic
105#10622703C2211yescharacteristic
106#10622703C2211yescharacteristic
107#10622703C2211yescharacteristic
108#10622703C2211yescharacteristic
109#10622700C2211yescharacteristic
110#10622699C2211yescharacteristic
111#10622699C2211yescharacteristic
112#10622698C2211yescharacteristic
113#10622697C2211yescharacteristic
114#10622696C2211yescharacteristic
115#10622696C2211yescharacteristic
116#10622696C2211yescharacteristic
117#10622696C2211yescharacteristic
118#10622695C2211yescharacteristic
119#10622695C2211yescharacteristic
120#10622694C2211yescharacteristic
121#10622688C2211yescharacteristic
122#10622687C2211yescharacteristic
123#10622685C2211yescharacteristic
124#10622684C2211yescharacteristic
125#10622672C2211yescharacteristic
126#10622671C2211yescharacteristic
127#10622670C2211yescharacteristic
128#10622670C2211yescharacteristic
129#10622670C2211yescharacteristic
130#10622670C2211yescharacteristic
131#10622670C2211yescharacteristic
132#10622669C2211yescharacteristic
133#10622668C2211yescharacteristic
134#10622667C2211yescharacteristic
135#10622667C2211yescharacteristic
136#10622667C2211yescharacteristic
137#10622667C2211yescharacteristic
138#10622667C2211yescharacteristic
139#10622667C2211yescharacteristic
140#10622667C2211yescharacteristic
141#10622665C2211yescharacteristic
142#10622664C2211yescharacteristic
143#10622664C2211yescharacteristic
144#10622663C2211yescharacteristic
145#10622662C2211yescharacteristic
146#10622661C2211yescharacteristic
147#10622661C2211yescharacteristic
148#10622661C2211yescharacteristic
149#10622661C2211yescharacteristic
150#10622660C2211yescharacteristic
151#10622660C2211yescharacteristic
152#10622660C2211yescharacteristic
153#10622658C2211yescharacteristic
154#10622658C2211yescharacteristic
155#10622658C2211yescharacteristic
156#10622657C2211yescharacteristic
157#10622654C2211yescharacteristic
158#10622653C2211yescharacteristic
159#10622652C2211yescharacteristic
160#10622652C2211yescharacteristic
161#10622651C2211yescharacteristic
162#10622650C2211yescharacteristic
163#10622648C2211yescharacteristic
164#10622646C2211yescharacteristic
165#10622643C2211yescharacteristic
166#10622643C2211yescharacteristic
167#10622643C2211yescharacteristic
168C4×#4326C2211yescharacteristic
169C4×#4326C2211yescharacteristic
170#10622641C2211yescharacteristic
171#10622641C2211yescharacteristic
172#10622641C2211yescharacteristic
173#10622640C2211yescharacteristic
174#10622639C2211yescharacteristic
175#10622639C2211yescharacteristic
176#10622639C2211yescharacteristic
177#10622637C2211yescharacteristic
178#10622637C2211yescharacteristic
179#10622635C2211yescharacteristic
180#10622635C2211yescharacteristic
181#10622635C2211yescharacteristic
182#10622633C2211yescharacteristic
183#10622631C2211yescharacteristic
184#10622631C2211yescharacteristic
185C4×#4324C2211yescharacteristic
186#10622629C2211yescharacteristic
187#10622628C2211yescharacteristic
188C4×#4323C2211yescharacteristic
189#10622624C2211yescharacteristic
190#10622624C2211yescharacteristic
191#10622624C2211yescharacteristic
192#10622624C2211yescharacteristic
193D4×C11⋊C8C2211yescharacteristic
194D4×C11⋊C8C2211yescharacteristic
195#10622622C2211yescharacteristic
196#10622621C2211yescharacteristic
197#10622613C2211yescharacteristic
198#10622613C2211yescharacteristic
199#10622612C2211yescharacteristic
200#10622612C2211yescharacteristic
201#10622539C2211yescharacteristic
202C2×C4⋊(C11⋊C8)C2211yescharacteristic
203C2×C11×#41C2311yescharacteristic
204C2×C11×#41C2311yescharacteristic
205C2×C11×#41C2311yescharacteristic
206C2×C11×#41C2311yescharacteristic
207C22×Q8×C11C2311yescharacteristic
208C22×Q8×C11C2311yescharacteristic
209C2×#4339C2311yescharacteristic
210C2×#4339C2311yescharacteristic
211C22×Dic22C2311yescharacteristic
212C11×C4⋊Q8—21no—
213C11×C4⋊Q8C2311yescharacteristic
214C11×C4⋊Q8C2311yescharacteristic
215C11×C4⋊Q8C2311yescharacteristic
216C11×C4⋊Q8C2311yescharacteristic
217C11×C4⋊Q8C2311yescharacteristic
218C11×#127—21no—
219C11×#127C2311yescharacteristic
220C11×#126—21no—
221C11×#126—21no—
222C11×#126D411yescharacteristic
223C11×#126D411yescharacteristic
224C11×#125—21no—
225C11×#125—21no—
226C11×#125—21no—
227C11×#125—21no—
228C11×#125D411yescharacteristic
229C11×#124—21no—
230C11×#124—21no—
231C11×#124—21no—
232C11×#124—21no—
233C11×#124—21no—
234C11×#124D411yescharacteristic
235C11×#124C2311yescharacteristic
236C11×#124C2311yescharacteristic
237C11×#124C2311yescharacteristic
238C11×#124C2311yescharacteristic
239C11×#123—21no—
240C11×#123—21no—
241C11×#123—21no—
242C11×#123—21no—
243C11×#123—21no—
244C11×#123—21no—
245C11×#123—21no—
246C11×#123—21no—
247C11×#123—21no—
248C11×#123—21no—
249C11×#123—21no—
250C11×#123—21no—
251C11×#123D411yescharacteristic
252C11×#123D411yescharacteristic
253C11×C22⋊Q8—21no—
254C11×C22⋊Q8—21no—
255C11×C22⋊Q8—21no—
256C11×C22⋊Q8—21no—
257C11×C22⋊Q8—21no—
258C11×C22⋊Q8—21no—
259C11×C22⋊Q8—21no—
260C11×C22⋊Q8—21no—
261C11×C22⋊Q8—21no—
262C11×C22⋊Q8—21no—
263C11×C22⋊Q8—21no—
264C11×C22⋊Q8D411yescharacteristic
265C11×C22⋊Q8C2311yescharacteristic
266C11×C22⋊Q8C2311yescharacteristic
267C11×C22⋊Q8C2311yescharacteristic
268C11×C22⋊Q8C2311yescharacteristic
269C11×#121—21no—
270C11×#121—21no—
271C11×#121—21no—
272C11×#121—21no—
273C11×#121—21no—
274C11×#121—21no—
275C11×#121—21no—
276C11×#121—21no—
277C11×#121D411yescharacteristic
278C11×#121C2311yescharacteristic
279C11×#121C2311yescharacteristic
280C4×Q8×C11—21no—
281C4×Q8×C11—21no—
282C4×Q8×C11C2311yescharacteristic
283C4×Q8×C11C2311yescharacteristic
284C4×Q8×C11C2311yescharacteristic
285C4×Q8×C11C2311yescharacteristic
286C4×Q8×C11C2311yescharacteristic
287C4×D4×C11—21no—
288C4×D4×C11—21no—
289C4×D4×C11—21no—
290C4×D4×C11—21no—
291C4×D4×C11—21no—
292C4×D4×C11—21no—
293C4×D4×C11—21no—
294C4×D4×C11C2311yescharacteristic
295C4×D4×C11C2311yescharacteristic
296C4×D4×C11C2311yescharacteristic
297C4×D4×C11C2311yescharacteristic
298C4×D4×C11C2311yescharacteristic
299C11×#117—21no—
300C11×#117C2311yescharacteristic
301C11×#117C2311yescharacteristic
302C2×C11×C4⋊C4—21no—
303C2×C11×C4⋊C4—21no—
304C2×C42×C11C2311yescharacteristic
305#67004—42no—
306#67003—42no—
307#67003—42no—
308#67003—42no—
309#67000—21no—
310#66997—21no—
311C2×#4326—42no—
312C2×#4326C2311yescharacteristic
313C2×#4326C2311yescharacteristic
314C2×#4326C2311yescharacteristic
315C2×#4326C2311yescharacteristic
316C2×#4326C2311yescharacteristic
317C2×#4326C2311yescharacteristic
318C2×#4326C2311yescharacteristic
319C2×#4326C2311yescharacteristic
320#66995—42no—
321C2×#4325C2311yescharacteristic
322C2×#4325C2311yescharacteristic
323C2×#4325C2311yescharacteristic
324C2×#4325C2311yescharacteristic
325C2×#4325C2311yescharacteristic
326C2×#4325C2311yescharacteristic
327C2×#4325C2311yescharacteristic
328C2×#4325C2311yescharacteristic
329#66993—21no—
330#66992—21no—
331#66992—21no—
332#66992—21no—
333#66991—21no—
334#66988—21no—
335C2×#4324C2311yescharacteristic
336C2×#4324C2311yescharacteristic
337C2×#4324C2311yescharacteristic
338C2×#4324C2311yescharacteristic
339C2×#4323C2311yescharacteristic
340C2×#4323C2311yescharacteristic
341C2×#4323C2311yescharacteristic
342C2×#4323C2311yescharacteristic
343#66983C2311yescharacteristic
344#66983C2311yescharacteristic
345#66983C2311yescharacteristic
346#66983C2311yescharacteristic
347#66982—21no—
348C4×C22⋊D11—21no—
349C4×C22⋊D11—21no—
350C4×C22⋊D11—21no—
351#66979C2311yescharacteristic
352#66979C2311yescharacteristic
353C2×C4⋊Dic11C2311yescharacteristic
354#66977C2311yescharacteristic
355#66977C2311yescharacteristic
356C2×#4318C2311yescharacteristic
357C2×#4318C2311yescharacteristic
358C22×C11⋊C8C2311yescharacteristic
359C22×C11⋊C8C2311yescharacteristic
360C22×C11⋊C8C2311yescharacteristic
361C22×C11⋊C8C2311yescharacteristic
362#66951—21no—
363#66951—21no—
364#66949—21no—
365#66949—21no—
366#66949—21no—
367#66947—21no—
368#66947—21no—
369#66947—21no—
370#66947—21no—
371#66946—21no—
372#66946—21no—
373#66945—21no—
374#66945—21no—
375C4⋊C4×D11—21no—
376#66942—21no—
377#66942—21no—
378#66942—21no—
379#66940—21no—
380#66940—21no—
381#66940—21no—
382#66938—21no—
383#66938—21no—
384#66938—21no—
385#66938—21no—
386#66938—21no—
387#66937—21no—
388#66937—21no—
389#66937—21no—
390#66937—21no—
391#66936—21no—
392#66936—21no—
393(C22⋊D11)⋊C4—21no—
394(C22⋊D11)⋊C4—21no—
395(C22⋊D11)⋊C4—21no—
396(C22⋊D11)⋊C4—21no—
397(C22⋊D11)⋊C4—21no—
398#66932—21no—
399#66930—21no—
400#66930—21no—
401#66930—21no—
402#66929—21no—
403#66928C2311yescharacteristic
404#66928C2311yescharacteristic
405#66927C2311yescharacteristic
406C4×D44C2311yescharacteristic
407C4×D44C2311yescharacteristic
408C4×D44C2311yescharacteristic
409C4×D44C2311yescharacteristic
410#66925—21no—
411#66925—21no—
412C42×D11—21no—
413#66923C2311yescharacteristic
414#66923C2311yescharacteristic
415#66922C2311yescharacteristic
416C4×Dic22C2311yescharacteristic
417C4×Dic22C2311yescharacteristic
418C4×Dic22C2311yescharacteristic
419C4×Dic22C2311yescharacteristic
420C4×Dic22C2311yescharacteristic
421C4×Dic22C2311yescharacteristic
422#66899C2311yescharacteristic
423#66899C2311yescharacteristic
424#66899C2311yescharacteristic
425#66899C2311yescharacteristic
426#66899C2311yescharacteristic
427#66899C2311yescharacteristic
428#66899C2311yescharacteristic
429#66899C2311yescharacteristic
430#66899C2311yescharacteristic
431#66899C2311yescharacteristic
432#66899C2311yescharacteristic
433#66899C2311yescharacteristic
434#66899C2311yescharacteristic
435#66899C2311yescharacteristic
436#66899C2311yescharacteristic
437#66899C2311yescharacteristic
438#66896C2311yescharacteristic
439#66896C2311yescharacteristic
440#66896C2311yescharacteristic
441#66896C2311yescharacteristic
442#66896C2311yescharacteristic
443#66896C2311yescharacteristic
444#66896C2311yescharacteristic
445#66896C2311yescharacteristic
446C22⋊(C11⋊C8)C2311yescharacteristic
447C22⋊(C11⋊C8)C2311yescharacteristic
448C22⋊(C11⋊C8)C2311yescharacteristic
449C22⋊(C11⋊C8)C2311yescharacteristic
450C22⋊(C11⋊C8)C2311yescharacteristic
451C22⋊(C11⋊C8)C2311yescharacteristic
452#66874C2311yescharacteristic
453#66874C2311yescharacteristic
454#66874C2311yescharacteristic
455#66874C2311yescharacteristic
456#66873C2311yescharacteristic
457#66873C2311yescharacteristic
458#66873C2311yescharacteristic
459#66873C2311yescharacteristic
460#66872C2311yescharacteristic
461#66872C2311yescharacteristic
462#66872C2311yescharacteristic
463#66872C2311yescharacteristic
464#66871C2311yescharacteristic
465#66871C2311yescharacteristic
466#66871C2311yescharacteristic
467#66871C2311yescharacteristic
468C4⋊(C11⋊C8)C2311yescharacteristic
469C4⋊(C11⋊C8)C2311yescharacteristic
470C4⋊(C11⋊C8)C2311yescharacteristic
471C4⋊(C11⋊C8)C2311yescharacteristic
472C4⋊(C11⋊C8)C2311yescharacteristic
473C4⋊(C11⋊C8)C2311yescharacteristic
474C4⋊(C11⋊C8)C2311yescharacteristic
475C4⋊(C11⋊C8)C2311yescharacteristic
476C4⋊(C11⋊C8)C2311yescharacteristic
477C4⋊(C11⋊C8)C2311yescharacteristic
478#66867C2311yescharacteristic
479#66867C2311yescharacteristic
480#66867C2311yescharacteristic
481#66867C2311yescharacteristic
482C4×C11⋊C8C2311yescharacteristic
483C4×C11⋊C8C2311yescharacteristic
484#62025—111nomaximal, Sylow
485C11×#41—41no—
486C11×#41—41no—
487C11×#41—41no—
488C11×#41—41no—
489C11×#41—41no—
490C11×#41—41no—
491C11×#41—41no—
492C11×#41—41no—
493C2×Q8×C11—21no—
494C2×Q8×C11—21no—
495C2×Q8×C11—21no—
496C2×Q8×C11—41no—
497C2×Q8×C11—41no—
498C2×Q8×C11—41no—
499C2×Q8×C11—41no—
500C2×Q8×C11C2×D411yescharacteristic
501C2×Q8×C11C2411yescharacteristic
502C2×Q8×C11C2411yescharacteristic
503C2×Q8×C11C2411yescharacteristic
504C2×Q8×C11C2411yescharacteristic
505C2×D4×C11—21no—
506C2×D4×C11—21no—
507C2×D4×C11—21no—
508C2×D4×C11—21no—
509C2×D4×C11—21no—
510C2×D4×C11—21no—
511C2×D4×C11—21no—
512C2×D4×C11—21no—
513C2×D4×C11C2×D411yescharacteristic
514C2×D4×C11C2×D411yescharacteristic
515C2×D4×C11C2×D411yescharacteristic
516C2×D4×C11C2411yescharacteristic
517C2×D4×C11C2411yescharacteristic
518C22×C4×C11—21no—
519C22×C4×C11—21no—
520C22×C4×C11—21no—
521C22×C4×C11—21no—
522C22×C4×C11—21no—
523C22×C4×C11—21no—
524C22×C4×C11—21no—
525C22×C4×C11—21no—
526C22×C4×C11C2×D411yescharacteristic
527C22×C4×C11C2×D411yescharacteristic
528C22×C4×C11C2411yescharacteristic
529C22×C4×C11C2411yescharacteristic
530C22×C4×C11C2411yescharacteristic
531C2×C22⋊D11—21no—
532C2×C22⋊D11—21no—
533C2×C22⋊D11—21no—
534C2×C22⋊D11—21no—
535C2×C22⋊D11—21no—
536C2×C22⋊D11—21no—
537C22×Dic11—21no—
538C22×Dic11—21no—
539#4339—22no—
540#4339—22no—
541#4339—41no—
542#4339—41no—
543C2×D44—21no—
544C2×D44—21no—
545C2×D44C2411yescharacteristic
546C2×D44C2411yescharacteristic
547C2×C4×D11—21no—
548C2×C4×D11—21no—
549C2×C4×D11—21no—
550C2×C4×D11—21no—
551C2×C4×D11—21no—
552C2×C4×D11—21no—
553C2×Dic22—22no—
554C2×Dic22—21no—
555C2×Dic22—21no—
556C2×Dic22—41no—
557C2×Dic22C2411yescharacteristic
558C2×Dic22C2411yescharacteristic
559C11×C4⋊C4—21no—
560C11×C4⋊C4—21no—
561C11×C4⋊C4—21no—
562C11×C4⋊C4—21no—
563C11×C4⋊C4—21no—
564C11×C4⋊C4—21no—
565C11×C4⋊C4—21no—
566C11×C4⋊C4—21no—
567C11×C4⋊C4—21no—
568C11×C4⋊C4—21no—
569C11×C4⋊C4—21no—
570C11×C4⋊C4—21no—
571C11×C4⋊C4—21no—
572C11×C4⋊C4—21no—
573C11×C4⋊C4—21no—
574C11×C4⋊C4—21no—
575C11×C4⋊C4—21no—
576C11×C4⋊C4C2×D411yescharacteristic
577C11×C4⋊C4C2×D411yescharacteristic
578C11×C4⋊C4C2×D411yescharacteristic
579C11×C4⋊C4C2×D411yescharacteristic
580C11×C4⋊C4C2×D411yescharacteristic
581C11×C4⋊C4C2×D411yescharacteristic
582C11×C4⋊C4C2×D411yescharacteristic
583C11×C4⋊C4C2×D411yescharacteristic
584C11×C4⋊C4C2×D411yescharacteristic
585C11×C4⋊C4C2×D411yescharacteristic
586C11×C4⋊C4C2411yescharacteristic
587C11×C4⋊C4C2411yescharacteristic
588C11×C22⋊C4—21no—
589C11×C22⋊C4—21no—
590C11×C22⋊C4—21no—
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⋊C4—21no—
601C11×C22⋊C4—21no—
602C11×C22⋊C4—21no—
603C11×C22⋊C4—21no—
604C11×C22⋊C4C2×D411yescharacteristic
605C11×C22⋊C4C2×D411yescharacteristic
606C11×C22⋊C4C2×D411yescharacteristic
607C11×C22⋊C4C2×D411yescharacteristic
608C11×C22⋊C4C2×D411yescharacteristic
609C11×C22⋊C4C2×D411yescharacteristic
610C11×C22⋊C4C2×D411yescharacteristic
611C11×C22⋊C4C2×D411yescharacteristic
612C11×C22⋊C4C2×D411yescharacteristic
613C11×C22⋊C4C2×D411yescharacteristic
614C42×C11—21no—
615C42×C11—21no—
616C42×C11—21no—
617C42×C11—21no—
618C42×C11C2×D411yescharacteristic
619C42×C11C2×D411yescharacteristic
620C42×C11C2411yescharacteristic
621C42×C11C2411yescharacteristic
622C42×C11C2411yescharacteristic
623C42×C11C2411yescharacteristic
624C22⋊Dic11—21no—
625C22⋊Dic11—21no—
626C22⋊Dic11—21no—
627C22⋊Dic11—21no—
628#4326—22no—
629#4326—22no—
630#4326—22no—
631#4326—22no—
632#4326—41no—
633#4326—41no—
634#4326—41no—
635#4326—41no—
636#4325—41no—
637#4325—41no—
638#4325—41no—
639#4325—41no—
640#4325—41no—
641#4325—41no—
642#4325—41no—
643#4325—41no—
644#4324—22no—
645#4324—22no—
646#4324—41no—
647#4324—41no—
648#4323—41no—
649#4323—41no—
650#4323—41no—
651#4323—41no—
652(C2×D11)⋊C4—21no—
653(C2×D11)⋊C4—21no—
654(C2×D11)⋊C4—21no—
655(C2×D11)⋊C4—21no—
656(C2×D11)⋊C4—21no—
657(C2×D11)⋊C4—21no—
658(C2×D11)⋊C4—21no—
659(C2×D11)⋊C4—21no—
660(C2×D11)⋊C4—21no—
661(C2×D11)⋊C4—21no—
662(C2×D11)⋊C4—21no—
663(C2×D11)⋊C4—21no—
664C4⋊Dic11—21no—
665C4⋊Dic11—21no—
666C4⋊Dic11C2411yescharacteristic
667C4⋊Dic11C2411yescharacteristic
668C4⋊Dic11C2411yescharacteristic
669C4⋊Dic11C2411yescharacteristic
670Dic11⋊C4—21no—
671Dic11⋊C4—21no—
672Dic11⋊C4—21no—
673Dic11⋊C4—21no—
674Dic11⋊C4—21no—
675Dic11⋊C4—21no—
676Dic11⋊C4—21no—
677Dic11⋊C4—21no—
678Dic11⋊C4—21no—
679Dic11⋊C4—21no—
680Dic11⋊C4—21no—
681Dic11⋊C4—21no—
682C4×Dic11—21no—
683C4×Dic11—21no—
684C4×Dic11—21no—
685C4×Dic11—21no—
686C4×Dic11—21no—
687C4×Dic11—21no—
688C4×Dic11—21no—
689C4×Dic11—21no—
690#4318—41no—
691#4318—41no—
692C2×C11⋊C8—41no—
693C2×C11⋊C8—41no—
694C2×C11⋊C8—41no—
695C2×C11⋊C8—41no—
696C2×C11⋊C8C2411yescharacteristic
697C2×C11⋊C8C2411yescharacteristic
698C2×C11⋊C8C2411yescharacteristic
699C2×C11⋊C8C2411yescharacteristic
700C2×C11⋊C8C2411yescharacteristic
701C2×C11⋊C8C2411yescharacteristic
702C2×C11⋊C8C2411yescharacteristic
703C2×C11⋊C8C2411yescharacteristic
704#3554D1111yescharacteristic, complemented
705#3524—111no—
706#3403—111no—
707#3400—111no—
708#3374—111no—
709#3371—111no—
710#3321—111no—
711#3320—111no—
712#3315—111no—
713#3309—111no—
714#3303—111no—
715#3300—111no—
716#3285—111no—
717#3284—111no—
718#3271—111no—
719#3271—111no—
720#3270—111no—
721#3269—111no—
722#3263—111no—
723#3257—111no—
724#3248—111no—
725#3225—111no—
726#3221—111no—
727#3219—111no—
728#3124—111no—
729#3121—111no—
730#3116—111no—
731#3046—111no—
732#3044—111no—
733#3035—111no—
734#2992—111no—
735C23×C11—21no—
736C23×C11—21no—
737C23×C11C22×D411yescharacteristic
738C23×C11C22×D411yescharacteristic
739C23×C11C22×D411yescharacteristic
740C22×D11—21no—
741C22×D11—21no—
742Q8×C11—21no—
743Q8×C11—21no—
744Q8×C11—21no—
745Q8×C11—21no—
746Q8×C11—21no—
747Q8×C11—21no—
748Q8×C11—21no—
749Q8×C11—21no—
750Q8×C11—41no—
751Q8×C11—81no—
752Q8×C11—81no—
753Q8×C11—81no—
754D4×C11—21no—
755D4×C11—21no—
756D4×C11—21no—
757D4×C11—21no—
758D4×C11—41no—
759D4×C11—41no—
760D4×C11—41no—
761D4×C11—42no—
762D4×C11—81no—
763D4×C11—81no—
764D4×C11—81no—
765D4×C11—81no—
766D4×C11—81no—
767D4×C11—81no—
768D4×C11—81no—
769C2×C4×C11—21no—
770C2×C4×C11—21no—
771C2×C4×C11—21no—
772C2×C4×C11—21no—
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—21no—
780C2×C4×C11—21no—
781C2×C4×C11—41no—
782C2×C4×C11—41no—
783C2×C4×C11—81no—
784C2×C4×C11—81no—
785C2×C4×C11—81no—
786C2×C4×C11—81no—
787C2×C4×C11—81no—
788C2×C4×C11—81no—
789C2×C4×C11—81no—
790C2×C4×C11—81no—
791C2×C4×C11C22×D411yescharacteristic
792C2×C4×C11C22×D411yescharacteristic
793C2×C4×C11C22×D411yescharacteristic
794C2×C4×C11C22×D411yescharacteristic
795C2×C4×C11C22×D411yescharacteristic
796C2×C4×C11C22×D411yescharacteristic
797C2×C4×C11C22×D411yescharacteristic
798C2×C4×C11C22×D411yescharacteristic
799C2×C4×C11C22×D411yescharacteristic
800C2×C4×C11C22×D411yescharacteristic
801C2×C4×C11C22×D411yescharacteristic
802C2×C4×C11C2511yescharacteristic
803C22⋊D11—42no—
804C22⋊D11—42no—
805C22⋊D11—81no—
806C22⋊D11—81no—
807C22⋊D11—81no—
808C22⋊D11—81no—
809C2×Dic11—21no—
810C2×Dic11—21no—
811C2×Dic11—21no—
812C2×Dic11—21no—
813C2×Dic11—21no—
814C2×Dic11—21no—
815C2×Dic11—42no—
816C2×Dic11—81no—
817D44—21no—
818D44—21no—
819D44—21no—
820D44—21no—
821D44—81no—
822D44—81no—
823C4×D11—42no—
824C4×D11—42no—
825C4×D11—81no—
826C4×D11—81no—
827C4×D11—81no—
828C4×D11—81no—
829Dic22—21no—
830Dic22—21no—
831Dic22—21no—
832Dic22—42no—
833Dic22—81no—
834Dic22H(5,𝔽2)12yes—
835C11⋊C8—21no—
836C11⋊C8—21no—
837C11⋊C8—21no—
838C11⋊C8—21no—
839C11⋊C8—21no—
840C11⋊C8—21no—
841C11⋊C8—21no—
842C11⋊C8—21no—
843C2×#137—111no—
844C2×#137—111no—
845C2×#135—111no—
846C2×#135—111no—
847C2×#135—111no—
848C22×Q16—111no—
849#562—21no—
850#562—21no—
851#559—21no—
852#559—111no—
853#559—221no—
854#559C2×D1111yescharacteristic
855#557—111no—
856#557C2×D1111yescharacteristic
857#555—111no—
858#555—221no—
859#554—21no—
860#553—111no—
861#553—221no—
862#552—111no—
863#552—221no—
864#550—111no—
865#550C2×D1111yescharacteristic
866D4×Q8C2×D1111yescharacteristic
867#548—111no—
868#548—111no—
869#548C2×D1111yescharacteristic
870#548C2×D1111yescharacteristic
871#547C2×D1111yescharacteristic
872#547C2×D1111yescharacteristic
873#542—21no—
874#542—111no—
875#542—221no—
876#542C2×D1111yescharacteristic
877#542C2×D1111yescharacteristic
878#540—21no—
879#540—111no—
880#540—221no—
881#539—21no—
882#539—21no—
883#536C2×D1111yescharacteristic
884#536C2×D1111yescharacteristic
885#533C2×D1111yescharacteristic
886#532C2×D1111yescharacteristic
887#529—111no—
888#529—221no—
889#529—221no—
890#529C2×D1111yescharacteristic
891#520—111no—
892#519—111no—
893C4×#41—111no—
894#497—111no—
895#497—111no—
896#496—111no—
897#496—111no—
898#495—111no—
899#492—111no—
900#491—111no—
901#491—111no—
902#490—111no—
903#489—111no—
904#488—111no—
905#487—111no—
906#485—111no—
907#485—111no—
908#485—111no—
909#484—111no—
910#482—111no—
911#480—111no—
912#479—111no—
913#479—111no—
914#479—111no—
915#478—111no—
916#477—111no—
917#476—111no—
918#476—111no—
919#475—111no—
920#475—111no—
921#474—111no—
922#470—111no—
923#469—111no—
924#469—111no—
925#468—111no—
926#467—111no—
927#467—111no—
928#466—111no—
929#465—111no—
930#465—111no—
931#465—111no—
932#465—111no—
933#465—111no—
934#464—111no—
935#464—111no—
936#464—111no—
937#464—111no—
938#464—111no—
939#464—111no—
940#464—111no—
941#464—111no—
942#464—111no—
943#464—111no—
944#463—111no—
945#463—111no—
946#463—111no—
947#463—111no—
948#463—111no—
949#463—111no—
950#462—111no—
951#462—111no—
952#462—111no—
953#462—111no—
954#462—111no—
955#462—111no—
956#461—111no—
957#461—111no—
958#461—111no—
959#461—111no—
960#460—111no—
961#460—111no—
962#459—111no—
963#459—111no—
964#452—111no—
965#452—111no—
966#452—111no—
967#452—111no—
968#452—111no—
969#452—111no—
970#451—111no—
971#451—111no—
972#449—111no—
973#449—111no—
974#449—111no—
975#449—111no—
976#449—111no—
977#449—111no—
978#448—111no—
979#448—111no—
980#448—111no—
981#448—111no—
982#446—111no—
983#446—111no—
984#441—111no—
985#441—111no—
986#441—111no—
987#440—111no—
988#440—111no—
989#440—111no—
990#440—111no—
991#440—111no—
992C4×Q16—111no—
993C4×Q16—111no—
994C4×SD16—111no—
995C4×D8—111no—
996#435—111no—
997#435—111no—
998#435—111no—
999#435—111no—
1000C8×D4—111no—
1001C8×D4—111no—
1002#433—111no—
1003#433—111no—
1004#432—111no—
1005#424—111no—
1006#424—111no—
1007C2×C4⋊C8—111no—
1008#419—111no—
1009#417—111no—
1010#416—111no—
1011#416—111no—
1012#416—111no—
1013C2×#103—111no—
1014C22×C11—21no—
1015C22×C11—21no—
1016C22×C11—21no—
1017C22×C11—21no—
1018C22×C11—21no—
1019C22×C11—21no—
1020C22×C11—21no—
1021C22×C11—21no—
1022C22×C11—21no—
1023C22×C11—41no—
1024C22×C11—41no—
1025C22×C11—41no—
1026C22×C11—41no—
1027C22×C11—41no—
1028C22×C11—41no—
1029C22×C11C23×D411yescharacteristic
1030C2×D11—41no—
1031C2×D11—41no—
1032C2×D11—41no—
1033C2×D11—41no—
1034C2×D11—41no—
1035C2×D11—41no—
1036C4×C11—21no—
1037C4×C11—21no—
1038C4×C11—21no—
1039C4×C11—21no—
1040C4×C11—21no—
1041C4×C11—21no—
1042C4×C11—21no—
1043C4×C11—21no—
1044C4×C11—21no—
1045C4×C11—21no—
1046C4×C11—21no—
1047C4×C11—41no—
1048C4×C11—41no—
1049C4×C11—41no—
1050C4×C11—41no—
1051C4×C11—41no—
1052C4×C11—41no—
1053C4×C11C2×H(5,𝔽2)11yescharacteristic
1054C4×C11#58511yescharacteristic
1055Dic11—22no—
1056Dic11—41no—
1057Dic11—41no—
1058Dic11—41no—
1059Dic11—41no—
1060Dic11—41no—
1061C2×#41—111no—
1062C2×#41—111no—
1063C2×#41C22×D1111yescharacteristic
1064C2×#41C22×D1111yescharacteristic
1065C2×#41C22×D1111yescharacteristic
1066C2×#41C22×D1111yescharacteristic
1067C22×Q8—111no—
1068C22×Q8C22×D1111yescharacteristic
1069C22×Q8C22×D1111yescharacteristic
1070#137—442no—
1071#137—442no—
1072#135—442no—
1073#135—442no—
1074#135—442no—
1075C2×Q16—111no—
1076C2×Q16—111no—
1077C2×Q16—111no—
1078C2×Q16—111no—
1079C2×Q16—111no—
1080C2×Q16—111no—
1081C2×Q16—111no—
1082C2×Q16—111no—
1083C2×Q16—442no—
1084C2×SD16—111no—
1085C2×SD16—111no—
1086C2×SD16—111no—
1087C2×SD16—111no—
1088C2×SD16—111no—
1089C2×SD16—111no—
1090C2×SD16—111no—
1091C2×SD16—111no—
1092C2×SD16—111no—
1093C2×SD16—111no—
1094C2×SD16—111no—
1095C2×SD16—111no—
1096C2×D8—111no—
1097C2×D8—111no—
1098C2×D8—111no—
1099C2×D8—111no—
1100C2×M16—111no—
1101C2×M16—111no—
1102C22×C8—111no—
1103C22×C8—111no—
1104C22×C8—111no—
1105C22×C8—111no—
1106C4⋊Q8—21no—
1107C4⋊Q8—111no—
1108C4⋊Q8—221no—
1109C4⋊Q8C22×D1111yescharacteristic
1110C4⋊Q8C22×D1111yescharacteristic
1111C4⋊Q8C22×D1111yescharacteristic
1112C4⋊Q8C22×D1111yescharacteristic
1113C4⋊Q8C22×D1111yescharacteristic
1114#127—21no—
1115#127—111no—
1116#127—221no—
1117#127C22×D1111yescharacteristic
1118#126—21no—
1119#126—21no—
1120#126—221no—
1121#126—221no—
1122#126—221no—
1123#126—221no—
1124#126C22⋊D1111yescharacteristic
1125#126C22⋊D1111yescharacteristic
1126#125—21no—
1127#125—21no—
1128#125—21no—
1129#125—21no—
1130#125—111no—
1131#125—111no—
1132#125—221no—
1133#125—221no—
1134#125—221no—
1135#125C22⋊D1111yescharacteristic
1136#124—21no—
1137#124—21no—
1138#124—21no—
1139#124—21no—
1140#124—21no—
1141#124—111no—
1142#124—111no—
1143#124—221no—
1144#124—221no—
1145#124—221no—
1146#124—221no—
1147#124—221no—
1148#124—221no—
1149#124C22⋊D1111yescharacteristic
1150#124C22×D1111yescharacteristic
1151#124C22×D1111yescharacteristic
1152#124C22×D1111yescharacteristic
1153#124C22×D1111yescharacteristic
1154#123—21no—
1155#123—21no—
1156#123—21no—
1157#123—21no—
1158#123—21no—
1159#123—21no—
1160#123—21no—
1161#123—21no—
1162#123—21no—
1163#123—21no—
1164#123—21no—
1165#123—21no—
1166#123—221no—
1167#123—221no—
1168#123—221no—
1169#123—221no—
1170#123—221no—
1171#123—221no—
1172#123—221no—
1173#123—221no—
1174#123C22⋊D1111yescharacteristic
1175#123C22⋊D1111yescharacteristic
1176C22⋊Q8—21no—
1177C22⋊Q8—21no—
1178C22⋊Q8—21no—
1179C22⋊Q8—21no—
1180C22⋊Q8—21no—
1181C22⋊Q8—21no—
1182C22⋊Q8—21no—
1183C22⋊Q8—21no—
1184C22⋊Q8—21no—
1185C22⋊Q8—21no—
1186C22⋊Q8—21no—
1187C22⋊Q8—111no—
1188C22⋊Q8—111no—
1189C22⋊Q8—221no—
1190C22⋊Q8—221no—
1191C22⋊Q8—221no—
1192C22⋊Q8C22⋊D1111yescharacteristic
1193C22⋊Q8C22×D1111yescharacteristic
1194C22⋊Q8C22×D1111yescharacteristic
1195C22⋊Q8C22×D1111yescharacteristic
1196C22⋊Q8C22×D1111yescharacteristic
1197#121—21no—
1198#121—21no—
1199#121—21no—
1200#121—21no—
1201#121—21no—
1202#121—21no—
1203#121—21no—
1204#121—21no—
1205#121—111no—
1206#121—111no—
1207#121—111no—
1208#121—111no—
1209#121—221no—
1210#121—221no—
1211#121—221no—
1212#121—221no—
1213#121—221no—
1214#121—221no—
1215#121—221no—
1216#121—221no—
1217#121C22⋊D1111yescharacteristic
1218#121C22×D1111yescharacteristic
1219#121C22×D1111yescharacteristic
1220C4×Q8—21no—
1221C4×Q8—21no—
1222C4×Q8—111no—
1223C4×Q8—111no—
1224C4×Q8—111no—
1225C4×Q8—111no—
1226C4×Q8—111no—
1227C4×Q8—111no—
1228C4×Q8—221no—
1229C4×Q8—221no—
1230C4×Q8—221no—
1231C4×Q8C22×D1111yescharacteristic
1232C4×Q8C22×D1111yescharacteristic
1233C4×Q8C22×D1111yescharacteristic
1234C4×Q8C22×D1111yescharacteristic
1235C4×Q8C22×D1111yescharacteristic
1236C4×D4—21no—
1237C4×D4—21no—
1238C4×D4—21no—
1239C4×D4—21no—
1240C4×D4—21no—
1241C4×D4—21no—
1242C4×D4—21no—
1243C4×D4—111no—
1244C4×D4—111no—
1245C4×D4—111no—
1246C4×D4—111no—
1247C4×D4—221no—
1248C4×D4—221no—
1249C4×D4—221no—
1250C4×D4—221no—
1251C4×D4—221no—
1252C4×D4—221no—
1253C4×D4—221no—
1254C4×D4—221no—
1255C4×D4—221no—
1256C4×D4—221no—
1257C4×D4C22×D1111yescharacteristic
1258C4×D4C22×D1111yescharacteristic
1259C4×D4C22×D1111yescharacteristic
1260C4×D4C22×D1111yescharacteristic
1261C4×D4C22×D1111yescharacteristic
1262#117—21no—
1263#117—111no—
1264#117—111no—
1265#117—221no—
1266#117—221no—
1267#117—221no—
1268#117—221no—
1269#117—221no—
1270#117—221no—
1271#117—221no—
1272#117C22×D1111yescharacteristic
1273#117C22×D1111yescharacteristic
1274C2×C4⋊C4—21no—
1275C2×C4⋊C4—21no—
1276C2×C4⋊C4—111no—
1277C2×C4⋊C4—221no—
1278C2×C42—221no—
1279C2×C42C22×D1111yescharacteristic
1280#107—111no—
1281#107—111no—
1282#107—111no—
1283#107—111no—
1284#106—111no—
1285#106—111no—
1286#106—111no—
1287#106—111no—
1288C4⋊C8—111no—
1289C4⋊C8—111no—
1290C4⋊C8—111no—
1291C4⋊C8—111no—
1292C4⋊C8—111no—
1293C4⋊C8—111no—
1294C4⋊C8—111no—
1295C4⋊C8—111no—
1296C4⋊C8—111no—
1297C4⋊C8—111no—
1298#103—111no—
1299#103—111no—
1300#103—111no—
1301#103—111no—
1302#103—111no—
1303#103—111no—
1304#103—111no—
1305#103—111no—
1306#103—111no—
1307#103—111no—
1308#103—111no—
1309#103—111no—
1310#103—111no—
1311#103—111no—
1312#103—111no—
1313#103—111no—
1314#103—111no—
1315#103—111no—
1316#103—111no—
1317#103—111no—
1318#102—111no—
1319#102—111no—
1320#102—111no—
1321#102—111no—
1322#102—111no—
1323#102—111no—
1324#102—111no—
1325#102—111no—
1326#102—111no—
1327#102—111no—
1328#102—111no—
1329#102—111no—
1330C22⋊C8—111no—
1331C22⋊C8—111no—
1332C22⋊C8—111no—
1333C22⋊C8—111no—
1334C22⋊C8—111no—
1335C22⋊C8—111no—
1336#97—111no—
1337#97—111no—
1338#97—111no—
1339#97—111no—
1340C4×C8—111no—
1341C4×C8—111no—
1342C2×C11—41no—
1343C2×C11—41no—
1344C2×C11—41no—
1345C2×C11—81no—
1346C2×C11—81no—
1347C2×C11#348811yescharacteristic
1348C2×C11#358411yescharacteristic
1349C2×C11#358611yescharacteristic
1350D11—81no—
1351D11—81no—
1352#41—41no—
1353#41—41no—
1354#41—41no—
1355#41—41no—
1356#41—41no—
1357#41—41no—
1358#41—41no—
1359#41—41no—
1360#41—222no—
1361#41—222no—
1362#41—441no—
1363#41—441no—
1364C2×Q8—21no—
1365C2×Q8—21no—
1366C2×Q8—21no—
1367C2×Q8—41no—
1368C2×Q8—41no—
1369C2×Q8—41no—
1370C2×Q8—41no—
1371C2×Q8—111no—
1372C2×Q8—111no—
1373C2×Q8—222no—
1374C2×Q8—221no—
1375C2×Q8—221no—
1376C2×Q8—441no—
1377C2×Q8C2×C22⋊D1111yescharacteristic
1378C2×Q8C23×D1111yescharacteristic
1379C2×Q8C23×D1111yescharacteristic
1380C2×Q8C23×D1111yescharacteristic
1381C2×Q8C23×D1111yescharacteristic
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—21no—
1389C2×D4—21no—
1390C2×D4—111no—
1391C2×D4—111no—
1392C2×D4—221no—
1393C2×D4—221no—
1394C2×D4—221no—
1395C2×D4—221no—
1396C2×D4—221no—
1397C2×D4—221no—
1398C2×D4—221no—
1399C2×D4—221no—
1400C2×D4C2×C22⋊D1111yescharacteristic
1401C2×D4C2×C22⋊D1111yescharacteristic
1402C2×D4C2×C22⋊D1111yescharacteristic
1403C2×D4C23×D1111yescharacteristic
1404C2×D4C23×D1111yescharacteristic
1405C22×C4—21no—
1406C22×C4—21no—
1407C22×C4—21no—
1408C22×C4—21no—
1409C22×C4—21no—
1410C22×C4—21no—
1411C22×C4—21no—
1412C22×C4—21no—
1413C22×C4—221no—
1414C22×C4—221no—
1415C22×C4—221no—
1416C22×C4—221no—
1417C22×C4—221no—
1418C22×C4—221no—
1419C22×C4—221no—
1420C22×C4—221no—
1421C22×C4C2×C22⋊D1111yescharacteristic
1422C22×C4C2×C22⋊D1111yescharacteristic
1423C22×C4C23×D1111yescharacteristic
1424C22×C4C23×D1111yescharacteristic
1425C22×C4C23×D1111yescharacteristic
1426Q16—222no—
1427Q16—222no—
1428Q16—222no—
1429Q16—222no—
1430Q16—441no—
1431Q16—441no—
1432Q16—441no—
1433Q16—441no—
1434SD16—222no—
1435SD16—222no—
1436SD16—441no—
1437SD16—441no—
1438SD16—441no—
1439SD16—441no—
1440SD16—441no—
1441SD16—441no—
1442SD16—441no—
1443SD16—441no—
1444SD16—441no—
1445SD16—441no—
1446D8—441no—
1447D8—441no—
1448D8—441no—
1449D8—441no—
1450M16—441no—
1451M16—441no—
1452C2×C8—111no—
1453C2×C8—111no—
1454C2×C8—111no—
1455C2×C8—111no—
1456C2×C8—111no—
1457C2×C8—111no—
1458C2×C8—111no—
1459C2×C8—111no—
1460C2×C8—441no—
1461C2×C8—441no—
1462C2×C8—441no—
1463C2×C8—441no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—21no—
1470C4⋊C4—21no—
1471C4⋊C4—21no—
1472C4⋊C4—21no—
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—111no—
1482C4⋊C4—111no—
1483C4⋊C4—111no—
1484C4⋊C4—111no—
1485C4⋊C4—221no—
1486C4⋊C4—221no—
1487C4⋊C4—221no—
1488C4⋊C4—221no—
1489C4⋊C4—221no—
1490C4⋊C4—221no—
1491C4⋊C4—221no—
1492C4⋊C4—221no—
1493C4⋊C4—221no—
1494C4⋊C4—221no—
1495C4⋊C4—221no—
1496C4⋊C4—221no—
1497C4⋊C4—221no—
1498C4⋊C4—221no—
1499C4⋊C4C2×C22⋊D1111yescharacteristic
1500C4⋊C4C2×C22⋊D1111yescharacteristic
1501C4⋊C4C2×C22⋊D1111yescharacteristic
1502C4⋊C4C2×C22⋊D1111yescharacteristic
1503C4⋊C4C2×C22⋊D1111yescharacteristic
1504C4⋊C4C2×C22⋊D1111yescharacteristic
1505C4⋊C4C2×C22⋊D1111yescharacteristic
1506C4⋊C4C2×C22⋊D1111yescharacteristic
1507C4⋊C4C2×C22⋊D1111yescharacteristic
1508C4⋊C4C2×C22⋊D1111yescharacteristic
1509C4⋊C4C23×D1111yescharacteristic
1510C4⋊C4C23×D1111yescharacteristic
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—221no—
1528C22⋊C4—221no—
1529C22⋊C4—221no—
1530C22⋊C4—221no—
1531C22⋊C4—221no—
1532C22⋊C4—221no—
1533C22⋊C4—221no—
1534C22⋊C4—221no—
1535C22⋊C4—221no—
1536C22⋊C4—221no—
1537C22⋊C4—221no—
1538C22⋊C4—221no—
1539C22⋊C4—221no—
1540C22⋊C4—221no—
1541C22⋊C4—221no—
1542C22⋊C4—221no—
1543C22⋊C4C2×C22⋊D1111yescharacteristic
1544C22⋊C4C2×C22⋊D1111yescharacteristic
1545C22⋊C4C2×C22⋊D1111yescharacteristic
1546C22⋊C4C2×C22⋊D1111yescharacteristic
1547C22⋊C4C2×C22⋊D1111yescharacteristic
1548C22⋊C4C2×C22⋊D1111yescharacteristic
1549C22⋊C4C2×C22⋊D1111yescharacteristic
1550C22⋊C4C2×C22⋊D1111yescharacteristic
1551C22⋊C4C2×C22⋊D1111yescharacteristic
1552C22⋊C4C2×C22⋊D1111yescharacteristic
1553C42—21no—
1554C42—21no—
1555C42—21no—
1556C42—21no—
1557C42—221no—
1558C42—221no—
1559C42—221no—
1560C42—221no—
1561C42—221no—
1562C42—221no—
1563C42—221no—
1564C42—221no—
1565C42C2×C22⋊D1111yescharacteristic
1566C42C2×C22⋊D1111yescharacteristic
1567C42C23×D1111yescharacteristic
1568C42C23×D1111yescharacteristic
1569C42C23×D1111yescharacteristic
1570C42C23×D1111yescharacteristic
1571C11#6202511yescharacteristic, complemented, Sylow
1572C23—21no—
1573C23—21no—
1574C23—221no—
1575C23—221no—
1576C23C22×C22⋊D1111yescharacteristic
1577C23C22×C22⋊D1111yescharacteristic
1578C23C22×C22⋊D1111yescharacteristic
1579Q8—21no—
1580Q8—21no—
1581Q8—21no—
1582Q8—21no—
1583Q8—21no—
1584Q8—21no—
1585Q8—21no—
1586Q8—21no—
1587Q8—41no—
1588Q8—81no—
1589Q8—81no—
1590Q8—81no—
1591Q8—112no—
1592Q8—221no—
1593Q8—221no—
1594Q8—221no—
1595Q8—442no—
1596Q8—881no—
1597D4—21no—
1598D4—21no—
1599D4—21no—
1600D4—21no—
1601D4—41no—
1602D4—41no—
1603D4—41no—
1604D4—42no—
1605D4—81no—
1606D4—81no—
1607D4—81no—
1608D4—81no—
1609D4—81no—
1610D4—81no—
1611D4—81no—
1612D4—221no—
1613D4—221no—
1614D4—221no—
1615D4—221no—
1616D4—442no—
1617D4—442no—
1618D4—881no—
1619D4—881no—
1620D4—881no—
1621D4—881no—
1622D4—881no—
1623D4—881no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—41no—
1637C2×C4—41no—
1638C2×C4—81no—
1639C2×C4—81no—
1640C2×C4—81no—
1641C2×C4—81no—
1642C2×C4—81no—
1643C2×C4—81no—
1644C2×C4—81no—
1645C2×C4—81no—
1646C2×C4—221no—
1647C2×C4—221no—
1648C2×C4—221no—
1649C2×C4—221no—
1650C2×C4—221no—
1651C2×C4—221no—
1652C2×C4—442no—
1653C2×C4—442no—
1654C2×C4—442no—
1655C2×C4—881no—
1656C2×C4—881no—
1657C2×C4—881no—
1658C2×C4—881no—
1659C2×C4—881no—
1660C2×C4C22×C22⋊D1111yescharacteristic
1661C2×C4C22×C22⋊D1111yescharacteristic
1662C2×C4C22×C22⋊D1111yescharacteristic
1663C2×C4C22×C22⋊D1111yescharacteristic
1664C2×C4C22×C22⋊D1111yescharacteristic
1665C2×C4C22×C22⋊D1111yescharacteristic
1666C2×C4C22×C22⋊D1111yescharacteristic
1667C2×C4C22×C22⋊D1111yescharacteristic
1668C2×C4C22×C22⋊D1111yescharacteristic
1669C2×C4C22×C22⋊D1111yescharacteristic
1670C2×C4C22×C22⋊D1111yescharacteristic
1671C2×C4C24×D1111yescharacteristic
1672C8—221no—
1673C8—221no—
1674C8—221no—
1675C8—221no—
1676C8—221no—
1677C8—221no—
1678C8—221no—
1679C8—221no—
1680C22—21no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—21no—
1685C22—21no—
1686C22—21no—
1687C22—21no—
1688C22—21no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—441no—
1696C22—441no—
1697C22—441no—
1698C22—441no—
1699C22—441no—
1700C22—441no—
1701C22C23×C22⋊D1111yescharacteristic
1702C4—21no—
1703C4—21no—
1704C4—21no—
1705C4—21no—
1706C4—21no—
1707C4—21no—
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—21no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—41no—
1718C4—41no—
1719C4—222no—
1720C4—441no—
1721C4—441no—
1722C4—441no—
1723C4—441no—
1724C4—441no—
1725C4D11×H(5,𝔽2)11yescharacteristic
1726C4#1062345511yescharacteristic
1727C2—41no—
1728C2—41no—
1729C2—41no—
1730C2—81no—
1731C2—81no—
1732C2—881no—
1733C2—881no—
1734C2#1308227811yescharacteristic
1735C2#1308338711yescharacteristic
1736C2#1308340311yescharacteristic
subgroupG/H
centerC22C23×C22⋊D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3554C2
socleC22×C11C23×D4
hypercenter#3554D11
hypocenterC11#62025
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ #529 ◁ #3554

Complements

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

NH ≅ G/Ntype
1. #13082721C2semidirect
2. #13081700C2semidirect
3. #13081665C2semidirect
4. #13081415C2semidirect
5. #13081378C2semidirect
6. #13080802C2semidirect
7. #13080787C2semidirect
8. #13080712C2semidirect
9. #13080622C2semidirect
10. #13080544C2semidirect
11. #13080503C2semidirect
12. #13080353C2semidirect
13. #13080342C2semidirect
14. #13080202C2semidirect
15. #13080197C2semidirect
16. #13080187C2semidirect
17. #13080167C2semidirect
18. #13080081C2semidirect
19. #13080027C2semidirect
20. #13079947C2semidirect
21. #13079725C2semidirect
22. #13079677C2semidirect
23. #13079653C2semidirect
24. #13078872C2semidirect
25. #13078839C2semidirect
26. #13078772C2semidirect
27. #13078162C2semidirect
28. #13078142C2semidirect
29. #13078065C2semidirect
30. #13077755C2semidirect
31. C11×#3554C2semidirect
704. #3554D11semidirect
1571. C11#62025semidirect

Maximal subgroups

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

subgroupindex
#130827212
#130817002
#130816652
#130814152
#130813782
#130808022
#130807872
#130807122
#130806222
#130805442
#130805032
#130803532
#130803422
#130802022
#130801972
#130801872
#130801672
#130800812
#130800272
#130799472
#130797252
#130796772
#130796532
#130788722
#130788392
#130787722
#130781622
#130781422
#130780652
#130777552
C11×#35542
#6202511