Finite Group Databasebeta

← #15647432

Subgroups — #15647432

Order 2816.

1792 conjugacy classes of subgroups.

The subgroup lattice has 1740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082688C211yesmaximal, characteristic, complemented
2#13081676C211yesmaximal, characteristic, complemented
3#13081643C211yesmaximal, characteristic, complemented
4#13081393C211yesmaximal, characteristic, complemented
5#13081363C211yesmaximal, characteristic, complemented
6#13080742C211yesmaximal, characteristic, complemented
7#13080682C211yesmaximal, characteristic, complemented
8#13080667C211yesmaximal, characteristic, complemented
9#13080592C211yesmaximal, characteristic, complemented
10#13080533C211yesmaximal, characteristic, complemented
11#13080518C211yesmaximal, characteristic, complemented
12#13080334C211yesmaximal, characteristic, complemented
13#13080324C211yesmaximal, characteristic, complemented
14#13080172C211yesmaximal, characteristic, complemented
15#13080157C211yesmaximal, characteristic, complemented
16#13080142C211yesmaximal, characteristic, complemented
17#13080127C211yesmaximal, characteristic, complemented
18#13080072C211yesmaximal, characteristic, complemented
19#13080042C211yesmaximal, characteristic, complemented
20#13079947C211yesmaximal, characteristic, complemented
21#13079725C211yesmaximal, characteristic, complemented
22#13079699C211yesmaximal, characteristic, complemented
23#13079653C211yesmaximal, characteristic, complemented
24#13078887C211yesmaximal, characteristic, complemented
25#13078794C211yesmaximal, characteristic, complemented
26#13078772C211yesmaximal, characteristic, complemented
27#13078162C211yesmaximal, characteristic, complemented
28#13078124C211yesmaximal, 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, complemented
36C11×#557C2211yescharacteristic, complemented
37C11×#554—21no—
38C11×#550C2211yescharacteristic
39D4×Q8×C11C2211yescharacteristic
40C11×#548C2211yescharacteristic
41C11×#548C2211yescharacteristic, complemented
42C11×#547C2211yescharacteristic
43C11×#547C2211yescharacteristic, complemented
44C11×#542—21no—
45C11×#542C2211yescharacteristic
46C11×#542C2211yescharacteristic, complemented
47C11×#540—21no—
48C11×#539—21no—
49C11×#539—21no—
50C11×#536C2211yescharacteristic
51C11×#536C2211yescharacteristic, complemented
52C11×#533C2211yescharacteristic, complemented
53C11×#532C2211yescharacteristic, complemented
54C11×#529C2211yescharacteristic
55C2×#67003C2211yescharacteristic
56C2×#67003C2211yescharacteristic
57C2×#67003C2211yescharacteristic
58C2×#67002C2211yescharacteristic
59C2×#66995C2211yescharacteristic
60C22×#4325C2211yescharacteristic
61#10623237—21no—
62D11×#126—21no—
63#10623224—21no—
64#10623210—21no—
65#10623192—21no—
66#10623190—21no—
67#10623169—21no—
68#10623144—21no—
69#10623115C2211yescharacteristic
70#10623110C2211yescharacteristic
71#10623096C2211yescharacteristic
72#10623082C2211yescharacteristic
73#10623081C2211yescharacteristic
74#10623081C2211yescharacteristic
75#10623073C2211yescharacteristic
76#10623072C2211yescharacteristic
77#10623065C2211yescharacteristic
78#10623054C2211yescharacteristic
79#10623052C2211yescharacteristic
80#10623049C2211yescharacteristic
81#10623010C2211yescharacteristic
82C4×#4339C2211yescharacteristic
83#10622852C2211yescharacteristic
84#10622852C2211yescharacteristic
85#10622852C2211yescharacteristic, complemented
86#10622852C2211yescharacteristic, complemented
87#10622852C2211yescharacteristic, complemented
88#10622851C2211yescharacteristic
89#10622851C2211yescharacteristic
90#10622851C2211yescharacteristic
91#10622846C2211yescharacteristic
92#10622846C2211yescharacteristic, complemented
93#10622846C2211yescharacteristic, complemented
94#10622845C2211yescharacteristic, complemented
95#10622841C2211yescharacteristic
96#10622841C2211yescharacteristic
97#10622841C2211yescharacteristic, complemented
98#10622840C2211yescharacteristic
99#10622838C2211yescharacteristic
100C2×#66899C2211yescharacteristic, complemented
101#10622707C2211yescharacteristic, complemented
102#10622705C2211yescharacteristic, complemented
103#10622704C2211yescharacteristic, complemented
104#10622703C2211yescharacteristic, complemented
105#10622703C2211yescharacteristic, complemented
106#10622703C2211yescharacteristic, complemented
107#10622703C2211yescharacteristic, complemented
108#10622700C2211yescharacteristic
109#10622699C2211yescharacteristic
110#10622699C2211yescharacteristic
111#10622697C2211yescharacteristic
112#10622696C2211yescharacteristic
113#10622696C2211yescharacteristic
114#10622696C2211yescharacteristic
115#10622696C2211yescharacteristic
116#10622696C2211yescharacteristic
117#10622696C2211yescharacteristic
118#10622695C2211yescharacteristic, complemented
119#10622695C2211yescharacteristic, complemented
120#10622694C2211yescharacteristic, complemented
121#10622688C2211yescharacteristic, complemented
122#10622687C2211yescharacteristic
123#10622685C2211yescharacteristic
124#10622684C2211yescharacteristic, complemented
125#10622673C2211yescharacteristic, complemented
126#10622672C2211yescharacteristic
127#10622670C2211yescharacteristic
128#10622670C2211yescharacteristic
129#10622670C2211yescharacteristic
130#10622670C2211yescharacteristic
131#10622670C2211yescharacteristic
132#10622670C2211yescharacteristic
133#10622670C2211yescharacteristic
134#10622669C2211yescharacteristic, complemented
135#10622668C2211yescharacteristic, complemented
136#10622667C2211yescharacteristic, complemented
137#10622667C2211yescharacteristic, complemented
138#10622667C2211yescharacteristic, complemented
139#10622667C2211yescharacteristic, complemented
140#10622667C2211yescharacteristic, complemented
141#10622665C2211yescharacteristic
142#10622664C2211yescharacteristic
143#10622664C2211yescharacteristic, complemented
144#10622664C2211yescharacteristic, complemented
145#10622664C2211yescharacteristic, complemented
146#10622662C2211yescharacteristic
147#10622661C2211yescharacteristic
148#10622661C2211yescharacteristic
149#10622660C2211yescharacteristic
150#10622660C2211yescharacteristic
151#10622660C2211yescharacteristic
152#10622659C2211yescharacteristic
153#10622658C2211yescharacteristic
154#10622658C2211yescharacteristic, complemented
155#10622658C2211yescharacteristic, complemented
156#10622656C2211yescharacteristic, complemented
157#10622655C2211yescharacteristic
158#10622655C2211yescharacteristic, complemented
159#10622654C2211yescharacteristic
160#10622651C2211yescharacteristic
161#10622650C2211yescharacteristic
162#10622649C2211yescharacteristic
163#10622648C2211yescharacteristic
164#10622647C2211yescharacteristic, complemented
165#10622644C2211yescharacteristic, complemented
166#10622643C2211yescharacteristic, complemented
167#10622643C2211yescharacteristic, complemented
168#10622643C2211yescharacteristic, complemented
169#10622641C2211yescharacteristic
170#10622641C2211yescharacteristic
171#10622641C2211yescharacteristic
172#10622639C2211yescharacteristic
173#10622639C2211yescharacteristic
174#10622639C2211yescharacteristic
175C4×#4325C2211yescharacteristic
176C4×#4325C2211yescharacteristic
177#10622637C2211yescharacteristic, complemented
178#10622637C2211yescharacteristic, complemented
179#10622635C2211yescharacteristic, complemented
180#10622635C2211yescharacteristic, complemented
181#10622635C2211yescharacteristic, complemented
182#10622634C2211yescharacteristic, complemented
183#10622632C2211yescharacteristic, complemented
184C4×#4324C2211yescharacteristic, complemented
185#10622629C2211yescharacteristic
186#10622627C2211yescharacteristic
187#10622627C2211yescharacteristic
188C4×#4323C2211yescharacteristic
189#10622624C2211yescharacteristic
190#10622624C2211yescharacteristic
191#10622624C2211yescharacteristic
192#10622624C2211yescharacteristic, complemented
193D4×C11⋊C8C2211yescharacteristic
194D4×C11⋊C8C2211yescharacteristic, complemented
195#10622622C2211yescharacteristic, complemented
196#10622620C2211yescharacteristic, complemented
197#10622613C2211yescharacteristic
198#10622613C2211yescharacteristic, complemented
199#10622612C2211yescharacteristic
200#10622612C2211yescharacteristic, complemented
201#10622539C2211yescharacteristic, complemented
202C2×C4⋊(C11⋊C8)C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C2×C11×#41C2311yescharacteristic
205C2×C11×#41C2311yescharacteristic
206C2×C11×#41C2311yescharacteristic
207C22×Q8×C11C2311yescharacteristic
208C22×Q8×C11C2311yescharacteristic
209C2×#4339C2311yescharacteristic
210C2×#4339C2311yescharacteristic
211C22×D44C2311yescharacteristic
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#67003—42no—
306#67003—42no—
307#67003—42no—
308#67002—42no—
309#66999—21no—
310#66999—21no—
311C2×#4326C2311yescharacteristic
312C2×#4326C2311yescharacteristic
313C2×#4326C2311yescharacteristic
314C2×#4326C2311yescharacteristic
315C2×#4326C2311yescharacteristic
316C2×#4326C2311yescharacteristic
317C2×#4326C2311yescharacteristic
318C2×#4326C2311yescharacteristic
319#66995—42no—
320C2×#4325—42no—
321C2×#4325C2311yescharacteristic
322C2×#4325C2311yescharacteristic
323C2×#4325C2311yescharacteristic
324C2×#4325C2311yescharacteristic
325C2×#4325C2311yescharacteristic
326C2×#4325C2311yescharacteristic
327C2×#4325C2311yescharacteristic
328C2×#4325C2311yescharacteristic
329#66992—21no—
330#66991—21no—
331#66990—21no—
332#66990—21no—
333#66989—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#66982—21no—
346C4×C22⋊D11—21no—
347C4×C22⋊D11—21no—
348C4×C22⋊D11—21no—
349#66979C2311yescharacteristic
350#66979C2311yescharacteristic
351C2×C4⋊Dic11C2311yescharacteristic
352#66977C2311yescharacteristic
353#66977C2311yescharacteristic
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#66951—21no—
365#66951—21no—
366#66949—21no—
367#66949—21no—
368#66949—21no—
369#66947—21no—
370#66947—21no—
371#66946—21no—
372#66946—21no—
373#66945—21no—
374#66945—21no—
375C4⋊C4×D11—21no—
376C4⋊C4×D11—21no—
377C4⋊C4×D11—21no—
378#66942—21no—
379#66942—21no—
380#66942—21no—
381#66940—21no—
382#66938—21no—
383#66937—21no—
384#66937—21no—
385#66936—21no—
386#66936—21no—
387#66936—21no—
388#66936—21no—
389(C22⋊D11)⋊C4—21no—
390(C22⋊D11)⋊C4—21no—
391(C22⋊D11)⋊C4—21no—
392C22⋊C4×D11—21no—
393C22⋊C4×D11—21no—
394C22⋊C4×D11—21no—
395C22⋊C4×D11—21no—
396#66932—21no—
397#66932—21no—
398#66932—21no—
399#66932—21no—
400#66932—21no—
401#66930—21no—
402#66929—21no—
403#66928C2311yescharacteristic
404#66928C2311yescharacteristic
405C4×D44C2311yescharacteristic
406C4×D44C2311yescharacteristic
407C4×D44C2311yescharacteristic
408C4×D44C2311yescharacteristic
409C4×D44C2311yescharacteristic
410C4×D44C2311yescharacteristic
411#66925—21no—
412#66925—21no—
413C42×D11—21no—
414#66923C2311yescharacteristic
415#66923C2311yescharacteristic
416#66922C2311yescharacteristic
417#66922C2311yescharacteristic
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#62023—111nomaximal, Sylow
485C23×D11—21no—
486C11×#41—41no—
487C11×#41—41no—
488C11×#41—41no—
489C11×#41—41no—
490C11×#41—41no—
491C11×#41—41no—
492C11×#41—41no—
493C11×#41—41no—
494C2×Q8×C11—21no—
495C2×Q8×C11—21no—
496C2×Q8×C11—21no—
497C2×Q8×C11—41no—
498C2×Q8×C11—41no—
499C2×Q8×C11—41no—
500C2×Q8×C11—41no—
501C2×Q8×C11C2×D411yescharacteristic
502C2×Q8×C11C2411yescharacteristic
503C2×Q8×C11C2411yescharacteristic
504C2×Q8×C11C2411yescharacteristic
505C2×Q8×C11C2411yescharacteristic
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×C11—21no—
514C2×D4×C11C2×D411yescharacteristic
515C2×D4×C11C2×D411yescharacteristic
516C2×D4×C11C2×D411yescharacteristic
517C2×D4×C11C2411yescharacteristic
518C2×D4×C11C2411yescharacteristic
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×C11—21no—
527C22×C4×C11C2×D411yescharacteristic
528C22×C4×C11C2×D411yescharacteristic
529C22×C4×C11C2411yescharacteristic
530C22×C4×C11C2411yescharacteristic
531C22×C4×C11C2411yescharacteristic
532C2×C22⋊D11—21no—
533C2×C22⋊D11—21no—
534C2×C22⋊D11—21no—
535C2×C22⋊D11—21no—
536C22×Dic11—21no—
537#4339—22no—
538#4339—22no—
539#4339—41no—
540#4339—41no—
541C2×D44—22no—
542C2×D44—21no—
543C2×D44—41no—
544C2×D44C2411yescharacteristic
545C2×D44C2411yescharacteristic
546C2×C4×D11—21no—
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×C4×D11—21no—
554C2×Dic22—21no—
555C2×Dic22C2411yescharacteristic
556C2×Dic22C2411yescharacteristic
557C11×C4⋊C4—21no—
558C11×C4⋊C4—21no—
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⋊C4C2×D411yescharacteristic
575C11×C4⋊C4C2×D411yescharacteristic
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⋊C4C2411yescharacteristic
585C11×C4⋊C4C2411yescharacteristic
586C11×C22⋊C4—21no—
587C11×C22⋊C4—21no—
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⋊C4C2×D411yescharacteristic
603C11×C22⋊C4C2×D411yescharacteristic
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
612C42×C11—21no—
613C42×C11—21no—
614C42×C11—21no—
615C42×C11—21no—
616C42×C11C2×D411yescharacteristic
617C42×C11C2×D411yescharacteristic
618C42×C11C2411yescharacteristic
619C42×C11C2411yescharacteristic
620C42×C11C2411yescharacteristic
621C42×C11C2411yescharacteristic
622C22⋊Dic11—21no—
623C22⋊Dic11—21no—
624C22⋊Dic11—21no—
625C22⋊Dic11—21no—
626C22⋊Dic11—21no—
627C22⋊Dic11—21no—
628#4326—41no—
629#4326—41no—
630#4326—41no—
631#4326—41no—
632#4326—41no—
633#4326—41no—
634#4326—41no—
635#4326—41no—
636#4325—22no—
637#4325—22no—
638#4325—22no—
639#4325—22no—
640#4325—41no—
641#4325—41no—
642#4325—41no—
643#4325—41no—
644#4324—41no—
645#4324—41no—
646#4324—41no—
647#4324—41no—
648#4323—22no—
649#4323—22no—
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⋊Dic11—21no—
667C4⋊Dic11—21no—
668C4⋊Dic11C2411yescharacteristic
669C4⋊Dic11C2411yescharacteristic
670C4⋊Dic11C2411yescharacteristic
671C4⋊Dic11C2411yescharacteristic
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—
682Dic11⋊C4—21no—
683Dic11⋊C4—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#3521—111no—
706#3401—111no—
707#3398—111no—
708#3372—111no—
709#3370—111no—
710#3317—111no—
711#3313—111no—
712#3312—111no—
713#3307—111no—
714#3302—111no—
715#3301—111no—
716#3283—111no—
717#3282—111no—
718#3269—111no—
719#3268—111no—
720#3267—111no—
721#3266—111no—
722#3262—111no—
723#3258—111no—
724#3248—111no—
725#3225—111no—
726#3223—111no—
727#3219—111no—
728#3125—111no—
729#3118—111no—
730#3116—111no—
731#3046—111no—
732#3042—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—
742C22×D11—42no—
743C22×D11—81no—
744C22×D11—81no—
745Q8×C11—21no—
746Q8×C11—21no—
747Q8×C11—21no—
748Q8×C11—21no—
749Q8×C11—21no—
750Q8×C11—21no—
751Q8×C11—21no—
752Q8×C11—21no—
753Q8×C11—41no—
754Q8×C11—81no—
755Q8×C11—81no—
756Q8×C11—81no—
757D4×C11—21no—
758D4×C11—21no—
759D4×C11—21no—
760D4×C11—21no—
761D4×C11—41no—
762D4×C11—41no—
763D4×C11—41no—
764D4×C11—42no—
765D4×C11—81no—
766D4×C11—81no—
767D4×C11—81no—
768D4×C11—81no—
769D4×C11—81no—
770D4×C11—81no—
771D4×C11—81no—
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—21no—
782C2×C4×C11—21no—
783C2×C4×C11—21no—
784C2×C4×C11—41no—
785C2×C4×C11—41no—
786C2×C4×C11—81no—
787C2×C4×C11—81no—
788C2×C4×C11—81no—
789C2×C4×C11—81no—
790C2×C4×C11—81no—
791C2×C4×C11—81no—
792C2×C4×C11—81no—
793C2×C4×C11—81no—
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×C11C22×D411yescharacteristic
803C2×C4×C11C22×D411yescharacteristic
804C2×C4×C11C22×D411yescharacteristic
805C2×C4×C11C2511yescharacteristic
806C22⋊D11—42no—
807C22⋊D11—42no—
808C22⋊D11—81no—
809C22⋊D11—81no—
810C2×Dic11—21no—
811C2×Dic11—21no—
812C2×Dic11—21no—
813C2×Dic11—21no—
814C2×Dic11—21no—
815C2×Dic11—21no—
816C2×Dic11—81no—
817D44—21no—
818D44—21no—
819D44—21no—
820D44—42no—
821D44H(5,𝔽2)12yes—
822C4×D11—42no—
823C4×D11—42no—
824C4×D11—81no—
825C4×D11—81no—
826C4×D11—81no—
827C4×D11—81no—
828C4×D11—81no—
829C4×D11—81no—
830Dic22—21no—
831Dic22—21no—
832Dic22—21no—
833Dic22—21no—
834Dic22—81no—
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×AGL(1,ℤ/8)—111no—
845C2×#135—111no—
846C2×#135—111no—
847C2×#135—111no—
848C22×SD16—111no—
849#562—21no—
850#562—21no—
851#559—21no—
852#559C2×D1111yescharacteristic, complemented
853#557C2×D1111yescharacteristic, complemented
854#556—111no—
855#556—111no—
856#554—21no—
857#554—111no—
858#553—111no—
859#553—221no—
860#552—111no—
861#552—221no—
862#551—221no—
863#551—221no—
864#550C2×D1111yescharacteristic
865D4×Q8C2×D1111yescharacteristic
866#548C2×D1111yescharacteristic
867#548C2×D1111yescharacteristic, complemented
868#547—111no—
869#547C2×D1111yescharacteristic
870#547C2×D1111yescharacteristic, complemented
871#546—111no—
872#546—111no—
873#542—21no—
874#542—111no—
875#542C2×D1111yescharacteristic
876#542C2×D1111yescharacteristic, complemented
877#541—111no—
878#540—21no—
879#539—21no—
880#539—21no—
881#539—221no—
882#538—221no—
883#536C2×D1111yescharacteristic
884#536C2×D1111yescharacteristic, complemented
885#533C2×D1111yescharacteristic, complemented
886#532C2×D1111yescharacteristic, complemented
887#529—111no—
888#529—221no—
889#529C2×D1111yescharacteristic
890C2×#126—221no—
891#520—111no—
892#518—111no—
893C4×#41—111no—
894#497—111no—
895#497—111no—
896#497—111no—
897#496—111no—
898#495—111no—
899#494—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#483—111no—
910#482—111no—
911#481—111no—
912#479—111no—
913#479—111no—
914#479—111no—
915#478—111no—
916#477—111no—
917#477—111no—
918#476—111no—
919#475—111no—
920#474—111no—
921#474—111no—
922#470—111no—
923#468—111no—
924#468—111no—
925#468—111no—
926#467—111no—
927#467—111no—
928#467—111no—
929#467—111no—
930#466—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#463—111no—
943#463—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#461—111no—
956#461—111no—
957#461—111no—
958#461—111no—
959#461—111no—
960#461—111no—
961#461—111no—
962#460—111no—
963#459—111no—
964#452—111no—
965#452—111no—
966#452—111no—
967#452—111no—
968#452—111no—
969#452—111no—
970#452—111no—
971#452—111no—
972#451—111no—
973#451—111no—
974#451—111no—
975#450—111no—
976#449—111no—
977#449—111no—
978#449—111no—
979#449—111no—
980#448—111no—
981#447—111no—
982#446—111no—
983#446—111no—
984#442—111no—
985#442—111no—
986#441—111no—
987#441—111no—
988#441—111no—
989#440—111no—
990#440—111no—
991#440—111no—
992C4×SD16—111no—
993C4×SD16—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—22no—
1031C2×D11—41no—
1032C2×D11—41no—
1033C2×D11—41no—
1034C2×D11—41no—
1035C2×D11—41no—
1036C2×D11—162no—
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—21no—
1048C4×C11—41no—
1049C4×C11—41no—
1050C4×C11—41no—
1051C4×C11—41no—
1052C4×C11—41no—
1053C4×C11—41no—
1054C4×C11C2×H(5,𝔽2)11yescharacteristic
1055C4×C11#58511yescharacteristic
1056Dic11—41no—
1057Dic11—41no—
1058Dic11—41no—
1059Dic11—41no—
1060Dic11—41no—
1061Dic11—41no—
1062C2×#41—111no—
1063C2×#41—111no—
1064C2×#41C22×D1111yescharacteristic
1065C2×#41C22×D1111yescharacteristic
1066C2×#41C22×D1111yescharacteristic
1067C2×#41C22×D1111yescharacteristic
1068C22×Q8C22×D1111yescharacteristic
1069C22×Q8C22×D1111yescharacteristic
1070C22×D4—111no—
1071#137—442no—
1072AGL(1,ℤ/8)—442no—
1073#135—442no—
1074#135—442no—
1075#135—442no—
1076C2×Q16—111no—
1077C2×Q16—111no—
1078C2×Q16—111no—
1079C2×Q16—111no—
1080C2×Q16—111no—
1081C2×Q16—111no—
1082C2×Q16—111no—
1083C2×Q16—111no—
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×SD16—442no—
1097C2×D8—111no—
1098C2×D8—111no—
1099C2×D8—111no—
1100C2×D8—111no—
1101C2×M16—111no—
1102C2×M16—111no—
1103C22×C8—111no—
1104C22×C8—111no—
1105C22×C8—111no—
1106C22×C8—111no—
1107C4⋊Q8—21no—
1108C4⋊Q8—111no—
1109C4⋊Q8—111no—
1110C4⋊Q8C22×D1111yescharacteristic
1111C4⋊Q8C22×D1111yescharacteristic
1112C4⋊Q8C22×D1111yescharacteristic
1113C4⋊Q8C22×D1111yescharacteristic
1114C4⋊Q8C22×D1111yescharacteristic
1115#127—21no—
1116#127C22×D1111yescharacteristic
1117#126—21no—
1118#126—21no—
1119#126—221no—
1120#126—221no—
1121#126—221no—
1122#126—221no—
1123#126—221no—
1124#126—221no—
1125#126—221no—
1126#126—221no—
1127#126—221no—
1128#126—221no—
1129#126C22⋊D1111yescharacteristic
1130#126C22⋊D1111yescharacteristic
1131#125—21no—
1132#125—21no—
1133#125—21no—
1134#125—21no—
1135#125—111no—
1136#125—111no—
1137#125—221no—
1138#125—221no—
1139#125—221no—
1140#125C22⋊D1111yescharacteristic
1141#124—21no—
1142#124—21no—
1143#124—21no—
1144#124—21no—
1145#124—21no—
1146#124—111no—
1147#124—111no—
1148#124—221no—
1149#124—221no—
1150#124C22⋊D1111yescharacteristic
1151#124C22×D1111yescharacteristic
1152#124C22×D1111yescharacteristic
1153#124C22×D1111yescharacteristic
1154#124C22×D1111yescharacteristic
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—21no—
1167#123—221no—
1168#123—221no—
1169#123—221no—
1170#123—221no—
1171#123—221no—
1172#123—221no—
1173#123—221no—
1174#123—221no—
1175#123C22⋊D1111yescharacteristic
1176#123C22⋊D1111yescharacteristic
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—21no—
1188C22⋊Q8—111no—
1189C22⋊Q8—111no—
1190C22⋊Q8—111no—
1191C22⋊Q8—111no—
1192C22⋊Q8—221no—
1193C22⋊Q8—221no—
1194C22⋊Q8—221no—
1195C22⋊Q8—221no—
1196C22⋊Q8—221no—
1197C22⋊Q8C22⋊D1111yescharacteristic
1198C22⋊Q8C22×D1111yescharacteristic
1199C22⋊Q8C22×D1111yescharacteristic
1200C22⋊Q8C22×D1111yescharacteristic
1201C22⋊Q8C22×D1111yescharacteristic
1202#121—21no—
1203#121—21no—
1204#121—21no—
1205#121—21no—
1206#121—21no—
1207#121—21no—
1208#121—21no—
1209#121—21no—
1210#121—111no—
1211#121—111no—
1212#121—221no—
1213#121—221no—
1214#121—221no—
1215#121—221no—
1216#121C22⋊D1111yescharacteristic
1217#121C22×D1111yescharacteristic
1218#121C22×D1111yescharacteristic
1219#120—221no—
1220#120—221no—
1221C4×Q8—21no—
1222C4×Q8—21no—
1223C4×Q8—111no—
1224C4×Q8—111no—
1225C4×Q8—111no—
1226C4×Q8—111no—
1227C4×Q8—221no—
1228C4×Q8C22×D1111yescharacteristic
1229C4×Q8C22×D1111yescharacteristic
1230C4×Q8C22×D1111yescharacteristic
1231C4×Q8C22×D1111yescharacteristic
1232C4×Q8C22×D1111yescharacteristic
1233C4×D4—21no—
1234C4×D4—21no—
1235C4×D4—21no—
1236C4×D4—21no—
1237C4×D4—21no—
1238C4×D4—21no—
1239C4×D4—21no—
1240C4×D4—111no—
1241C4×D4—111no—
1242C4×D4—111no—
1243C4×D4—111no—
1244C4×D4—111no—
1245C4×D4—111no—
1246C4×D4—221no—
1247C4×D4—221no—
1248C4×D4—221no—
1249C4×D4—221no—
1250C4×D4—221no—
1251C4×D4—221no—
1252C4×D4—221no—
1253C4×D4—221no—
1254C4×D4C22×D1111yescharacteristic
1255C4×D4C22×D1111yescharacteristic
1256C4×D4C22×D1111yescharacteristic
1257C4×D4C22×D1111yescharacteristic
1258C4×D4C22×D1111yescharacteristic
1259#117—21no—
1260#117—111no—
1261#117—111no—
1262#117—221no—
1263#117—221no—
1264#117—221no—
1265#117—221no—
1266#117—221no—
1267#117C22×D1111yescharacteristic
1268#117C22×D1111yescharacteristic
1269C2×C4⋊C4—21no—
1270C2×C4⋊C4—21no—
1271C2×C4⋊C4—111no—
1272C2×C4⋊C4—221no—
1273C2×C4⋊C4—221no—
1274C2×C4⋊C4—221no—
1275C2×C22⋊C4—221no—
1276C2×C22⋊C4—221no—
1277C2×C22⋊C4—221no—
1278C2×C22⋊C4—221no—
1279C2×C42—221no—
1280C2×C42C22×D1111yescharacteristic
1281#107—111no—
1282#107—111no—
1283#107—111no—
1284#107—111no—
1285#106—111no—
1286#106—111no—
1287#106—111no—
1288#106—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—
1298C4⋊C8—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#103—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—
1330#102—111no—
1331C22⋊C8—111no—
1332C22⋊C8—111no—
1333C22⋊C8—111no—
1334C22⋊C8—111no—
1335C22⋊C8—111no—
1336C22⋊C8—111no—
1337#97—111no—
1338#97—111no—
1339#97—111no—
1340#97—111no—
1341C4×C8—111no—
1342C4×C8—111no—
1343C2×C11—41no—
1344C2×C11—41no—
1345C2×C11—41no—
1346C2×C11—81no—
1347C2×C11—81no—
1348C2×C11#348811yescharacteristic
1349C2×C11#358411yescharacteristic
1350C2×C11#358611yescharacteristic
1351D11—42no—
1352D11—81no—
1353C24—221no—
1354#41—41no—
1355#41—41no—
1356#41—41no—
1357#41—41no—
1358#41—41no—
1359#41—41no—
1360#41—41no—
1361#41—41no—
1362#41—222no—
1363#41—222no—
1364#41—441no—
1365#41—441no—
1366C2×Q8—21no—
1367C2×Q8—21no—
1368C2×Q8—21no—
1369C2×Q8—41no—
1370C2×Q8—41no—
1371C2×Q8—41no—
1372C2×Q8—41no—
1373C2×Q8—111no—
1374C2×Q8—111no—
1375C2×Q8—221no—
1376C2×Q8C2×C22⋊D1111yescharacteristic
1377C2×Q8C23×D1111yescharacteristic
1378C2×Q8C23×D1111yescharacteristic
1379C2×Q8C23×D1111yescharacteristic
1380C2×Q8C23×D1111yescharacteristic
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—21no—
1389C2×D4—111no—
1390C2×D4—111no—
1391C2×D4—222no—
1392C2×D4—221no—
1393C2×D4—221no—
1394C2×D4—221no—
1395C2×D4—221no—
1396C2×D4—221no—
1397C2×D4—441no—
1398C2×D4C2×C22⋊D1111yescharacteristic
1399C2×D4C2×C22⋊D1111yescharacteristic
1400C2×D4C2×C22⋊D1111yescharacteristic
1401C2×D4C23×D1111yescharacteristic
1402C2×D4C23×D1111yescharacteristic
1403C22×C4—21no—
1404C22×C4—21no—
1405C22×C4—21no—
1406C22×C4—21no—
1407C22×C4—21no—
1408C22×C4—21no—
1409C22×C4—21no—
1410C22×C4—21no—
1411C22×C4—221no—
1412C22×C4—221no—
1413C22×C4—221no—
1414C22×C4—221no—
1415C22×C4—221no—
1416C22×C4—221no—
1417C22×C4—221no—
1418C22×C4—221no—
1419C22×C4—221no—
1420C22×C4C2×C22⋊D1111yescharacteristic
1421C22×C4C2×C22⋊D1111yescharacteristic
1422C22×C4C23×D1111yescharacteristic
1423C22×C4C23×D1111yescharacteristic
1424C22×C4C23×D1111yescharacteristic
1425Q16—441no—
1426Q16—441no—
1427Q16—441no—
1428Q16—441no—
1429Q16—441no—
1430Q16—441no—
1431Q16—441no—
1432Q16—441no—
1433SD16—222no—
1434SD16—222no—
1435SD16—222no—
1436SD16—222no—
1437SD16—441no—
1438SD16—441no—
1439SD16—441no—
1440SD16—441no—
1441SD16—441no—
1442SD16—441no—
1443SD16—441no—
1444SD16—441no—
1445D8—222no—
1446D8—222no—
1447D8—441no—
1448D8—441no—
1449M16—441no—
1450M16—441no—
1451C2×C8—111no—
1452C2×C8—111no—
1453C2×C8—111no—
1454C2×C8—111no—
1455C2×C8—111no—
1456C2×C8—111no—
1457C2×C8—111no—
1458C2×C8—111no—
1459C2×C8—441no—
1460C2×C8—441no—
1461C2×C8—441no—
1462C2×C8—441no—
1463C4⋊C4—21no—
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—111no—
1481C4⋊C4—111no—
1482C4⋊C4—111no—
1483C4⋊C4—111no—
1484C4⋊C4—221no—
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⋊C4—221no—
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⋊C4C2×C22⋊D1111yescharacteristic
1510C4⋊C4C23×D1111yescharacteristic
1511C4⋊C4C23×D1111yescharacteristic
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—21no—
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⋊C4—221no—
1544C22⋊C4—221no—
1545C22⋊C4—221no—
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
1553C22⋊C4C2×C22⋊D1111yescharacteristic
1554C22⋊C4C2×C22⋊D1111yescharacteristic
1555C22⋊C4C2×C22⋊D1111yescharacteristic
1556C42—21no—
1557C42—21no—
1558C42—21no—
1559C42—21no—
1560C42—221no—
1561C42—221no—
1562C42—221no—
1563C42—221no—
1564C42—221no—
1565C42—221no—
1566C42C2×C22⋊D1111yescharacteristic
1567C42C2×C22⋊D1111yescharacteristic
1568C42C23×D1111yescharacteristic
1569C42C23×D1111yescharacteristic
1570C42C23×D1111yescharacteristic
1571C42C23×D1111yescharacteristic
1572C11#6202311yescharacteristic, complemented, Sylow
1573C23—21no—
1574C23—21no—
1575C23—221no—
1576C23—221no—
1577C23—442no—
1578C23—881no—
1579C23—881no—
1580C23C22×C22⋊D1111yescharacteristic
1581C23C22×C22⋊D1111yescharacteristic
1582C23C22×C22⋊D1111yescharacteristic
1583Q8—21no—
1584Q8—21no—
1585Q8—21no—
1586Q8—21no—
1587Q8—21no—
1588Q8—21no—
1589Q8—21no—
1590Q8—21no—
1591Q8—41no—
1592Q8—81no—
1593Q8—81no—
1594Q8—81no—
1595Q8—221no—
1596Q8—221no—
1597Q8—221no—
1598Q8—221no—
1599Q8—881no—
1600D4—21no—
1601D4—21no—
1602D4—21no—
1603D4—21no—
1604D4—41no—
1605D4—41no—
1606D4—41no—
1607D4—42no—
1608D4—81no—
1609D4—81no—
1610D4—81no—
1611D4—81no—
1612D4—81no—
1613D4—81no—
1614D4—81no—
1615D4—112no—
1616D4—221no—
1617D4—221no—
1618D4—221no—
1619D4—442no—
1620D4—442no—
1621D4—442no—
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—881no—
1655C2×C4—881no—
1656C2×C4—881no—
1657C2×C4—881no—
1658C2×C4—881no—
1659C2×C4—881no—
1660C2×C4—881no—
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×C4C22×C22⋊D1111yescharacteristic
1672C2×C4C24×D1111yescharacteristic
1673C8—221no—
1674C8—221no—
1675C8—221no—
1676C8—221no—
1677C8—221no—
1678C8—221no—
1679C8—221no—
1680C8—221no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—21no—
1685C22—21no—
1686C22—21no—
1687C22—21no—
1688C22—21no—
1689C22—21no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—222no—
1697C22—441no—
1698C22—441no—
1699C22—441no—
1700C22—441no—
1701C22—441no—
1702C22—1762no—
1703C22C23×C22⋊D1111yescharacteristic
1704C4—21no—
1705C4—21no—
1706C4—21no—
1707C4—21no—
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—21no—
1713C4—21no—
1714C4—21no—
1715C4—41no—
1716C4—41no—
1717C4—41no—
1718C4—41no—
1719C4—41no—
1720C4—41no—
1721C4—441no—
1722C4—441no—
1723C4—441no—
1724C4—441no—
1725C4—441no—
1726C4—441no—
1727C4D11×H(5,𝔽2)11yescharacteristic
1728C4#1062345511yescharacteristic
1729C2—41no—
1730C2—41no—
1731C2—41no—
1732C2—81no—
1733C2—81no—
1734C2—442no—
1735C2—881no—
1736C2#1308227811yescharacteristic
1737C2#1308338711yescharacteristic
1738C2#1308340311yescharacteristic
subgroupG/H
centerC22C23×C22⋊D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3554C2
socleC22×C11C23×D4
hypercenter#3554D11
hypocenterC11#62023
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. #13082688C2semidirect
2. #13081676C2semidirect
3. #13081643C2semidirect
4. #13081393C2semidirect
5. #13081363C2semidirect
6. #13080742C2semidirect
7. #13080682C2semidirect
8. #13080667C2semidirect
9. #13080592C2semidirect
10. #13080533C2semidirect
11. #13080518C2semidirect
12. #13080334C2semidirect
13. #13080324C2semidirect
14. #13080172C2semidirect
15. #13080157C2semidirect
16. #13080142C2semidirect
17. #13080127C2semidirect
18. #13080072C2semidirect
19. #13080042C2semidirect
20. #13079947C2semidirect
21. #13079725C2semidirect
22. #13079699C2semidirect
23. #13079653C2semidirect
24. #13078887C2semidirect
25. #13078794C2semidirect
26. #13078772C2semidirect
27. #13078162C2semidirect
28. #13078124C2semidirect
29. #13078065C2semidirect
30. #13077755C2semidirect
31. C11×#3554C2semidirect
35. C11×#559C22semidirect
36. C11×#557C22semidirect
41. C11×#548C22semidirect
43. C11×#547C22semidirect
46. C11×#542C22semidirect
51. C11×#536C22semidirect
52. C11×#533C22semidirect
53. C11×#532C22semidirect
85. #10622852C22semidirect
86. #10622852C22semidirect
87. #10622852C22semidirect
92. #10622846C22semidirect
93. #10622846C22semidirect
94. #10622845C22semidirect
97. #10622841C22semidirect
100. C2×#66899C22semidirect
101. #10622707C22semidirect
102. #10622705C22semidirect
103. #10622704C22semidirect
104. #10622703C22semidirect
105. #10622703C22semidirect
106. #10622703C22semidirect
107. #10622703C22semidirect
118. #10622695C22semidirect
119. #10622695C22semidirect
120. #10622694C22semidirect
121. #10622688C22semidirect
124. #10622684C22semidirect
125. #10622673C22semidirect
134. #10622669C22semidirect
135. #10622668C22semidirect
136. #10622667C22semidirect
137. #10622667C22semidirect
138. #10622667C22semidirect
139. #10622667C22semidirect
140. #10622667C22semidirect
143. #10622664C22semidirect
144. #10622664C22semidirect
145. #10622664C22semidirect
154. #10622658C22semidirect
155. #10622658C22semidirect
156. #10622656C22semidirect
158. #10622655C22semidirect
164. #10622647C22semidirect
165. #10622644C22semidirect
166. #10622643C22semidirect
167. #10622643C22semidirect
168. #10622643C22semidirect
177. #10622637C22semidirect
178. #10622637C22semidirect
179. #10622635C22semidirect
180. #10622635C22semidirect
181. #10622635C22semidirect
182. #10622634C22semidirect
183. #10622632C22semidirect
184. C4×#4324C22semidirect
192. #10622624C22semidirect
194. D4×C11⋊C8C22semidirect
195. #10622622C22semidirect
196. #10622620C22semidirect
198. #10622613C22semidirect
200. #10622612C22semidirect
201. #10622539C22semidirect
202. C2×C4⋊(C11⋊C8)C22semidirect
704. #3554D11semidirect
852. #559C2×D11semidirect
853. #557C2×D11semidirect
867. #548C2×D11semidirect
870. #547C2×D11semidirect
876. #542C2×D11semidirect
884. #536C2×D11semidirect
885. #533C2×D11semidirect
886. #532C2×D11semidirect
1572. C11#62023semidirect

Maximal subgroups

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

subgroupindex
#130826882
#130816762
#130816432
#130813932
#130813632
#130807422
#130806822
#130806672
#130805922
#130805332
#130805182
#130803342
#130803242
#130801722
#130801572
#130801422
#130801272
#130800722
#130800422
#130799472
#130797252
#130796992
#130796532
#130788872
#130787942
#130787722
#130781622
#130781242
#130780652
#130777552
C11×#35542
#6202311