Finite Group Databasebeta

← #15647528

Subgroups — #15647528

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#13082989C211yesmaximal, characteristic, complemented
2#13082724C211yesmaximal, characteristic, complemented
3#13081689C211yesmaximal, characteristic, complemented
4#13081659C211yesmaximal, characteristic, complemented
5#13081453C211yesmaximal, characteristic, complemented
6#13081348C211yesmaximal, characteristic, complemented
7#13080775C211yesmaximal, characteristic, complemented
8#13080751C211yesmaximal, characteristic, complemented
9#13080743C211yesmaximal, characteristic, complemented
10#13080562C211yesmaximal, characteristic, complemented
11#13080449C211yesmaximal, characteristic, complemented
12#13080369C211yesmaximal, characteristic, complemented
13#13080320C211yesmaximal, characteristic, complemented
14#13080199C211yesmaximal, characteristic, complemented
15#13080167C211yesmaximal, characteristic, complemented
16#13080163C211yesmaximal, characteristic, complemented
17#13080116C211yesmaximal, characteristic, complemented
18#13080073C211yesmaximal, characteristic, complemented
19#13080030C211yesmaximal, characteristic, complemented
20#13079941C211yesmaximal, characteristic, complemented
21#13079708C211yesmaximal, characteristic, complemented
22#13079664C211yesmaximal, characteristic, complemented
23#13079656C211yesmaximal, characteristic, complemented
24#13078888C211yesmaximal, characteristic, complemented
25#13078848C211yesmaximal, characteristic, complemented
26#13078763C211yesmaximal, characteristic, complemented
27#13078154C211yesmaximal, characteristic, complemented
28#13078140C211yesmaximal, characteristic, complemented
29#13078072C211yesmaximal, characteristic, complemented
30#13077751C211yesmaximal, characteristic, complemented
31C11×#3307C211yesmaximal, characteristic, complemented
32C11×#553C2211yescharacteristic
33C11×#547C2211yescharacteristic
34#10623365C2211yescharacteristic
35#10623365C2211yescharacteristic
36#10623361C2211yescharacteristic
37#10623361C2211yescharacteristic
38C2×#67004C2211yescharacteristic, complemented
39C2×#67003C2211yescharacteristic, complemented
40C2×#66969C2211yescharacteristic, complemented
41C2×#66969C2211yescharacteristic, complemented
42C2×#66961C2211yescharacteristic
43C22×#4314C2211yescharacteristic
44#10623263C2211yescharacteristic
45#10623256C2211yescharacteristic
46#10623241—21no—
47#10623239—21no—
48#10623222C2211yescharacteristic, complemented
49#10623216C2211yescharacteristic, complemented
50#10623197—21no—
51#10623197—21no—
52#10623192—21no—
53#10623188—21no—
54#10623188—21no—
55#10623180—21no—
56#10623174C2211yescharacteristic
57#10623174C2211yescharacteristic
58#10623161C2211yescharacteristic
59#10623161C2211yescharacteristic
60#10623150C2211yescharacteristic, complemented
61#10623147—21no—
62#10623146—21no—
63#10623143—21no—
64#10623138—21no—
65#10623134C2211yescharacteristic, complemented
66#10623130C2211yescharacteristic, complemented
67#10623129C2211yescharacteristic, complemented
68#10623090—21no—
69#10623090C2211yescharacteristic, complemented
70#10623088C2211yescharacteristic
71#10623084C2211yescharacteristic
72#10623083C2211yescharacteristic
73D4×D44C2211yescharacteristic
74#10623079C2211yescharacteristic
75#10623069—21no—
76C4×#4341C2211yescharacteristic, complemented
77#10623063C2211yescharacteristic, complemented
78#10623047C2211yescharacteristic, complemented
79#10623045—21no—
80#10623044C2211yescharacteristic, complemented
81#10623041—21no—
82#10623035C2211yescharacteristic, complemented
83C11×#491C2211yescharacteristic, complemented
84C11×#485C2211yescharacteristic, complemented
85C11×#483C2211yescharacteristic, complemented
86C11×#478C2211yescharacteristic, complemented
87C11×#468C2211yescharacteristic, complemented
88C11×#465C2211yescharacteristic, complemented
89C11×#461C2211yescharacteristic, complemented
90C11×#449C2211yescharacteristic, complemented
91C11×#449C2211yescharacteristic, complemented
92C11×#442C2211yescharacteristic, complemented
93C11×#435C2211yescharacteristic
94C11×#417C2211yescharacteristic, complemented
95C11×#416C2211yescharacteristic, complemented
96#10622852C2211yescharacteristic, complemented
97#10622851C2211yescharacteristic, complemented
98#10622789C2211yescharacteristic
99#10622781C2211yescharacteristic
100#10622779C2211yescharacteristic, complemented
101#10622778C2211yescharacteristic, complemented
102#10622778C2211yescharacteristic, complemented
103#10622776C2211yescharacteristic, complemented
104#10622771C2211yescharacteristic, complemented
105#10622767C2211yescharacteristic, complemented
106#10622764C2211yescharacteristic, complemented
107#10622763C2211yescharacteristic
108#10622747C2211yescharacteristic
109#10622740C2211yescharacteristic, complemented
110#10622732C2211yescharacteristic, complemented
111#10622728C2211yescharacteristic
112C8×C22⋊D11C2211yescharacteristic, complemented
113#10622715C2211yescharacteristic, complemented
114#10622703C2211yescharacteristic, complemented
115#10622699C2211yescharacteristic, complemented
116#10622680C2211yescharacteristic
117#10622679C2211yescharacteristic
118#10622664C2211yescharacteristic, complemented
119#10622663C2211yescharacteristic, complemented
120#10622662C2211yescharacteristic, complemented
121#10622660C2211yescharacteristic, complemented
122#10622652C2211yescharacteristic
123#10622651C2211yescharacteristic
124#10622649C2211yescharacteristic
125#10622649C2211yescharacteristic
126#10622631C2211yescharacteristic, complemented
127#10622629C2211yescharacteristic, complemented
128#10622628C2211yescharacteristic
129#10622627C2211yescharacteristic
130#10622624C2211yescharacteristic
131#10622616C2211yescharacteristic
132#10622614C2211yescharacteristic
133#10622581C2211yescharacteristic
134C2×#66873C2211yescharacteristic
135#10622503C2211yescharacteristic, complemented
136#10622502C2211yescharacteristic, complemented
137#10622496C2211yescharacteristic
138#10622488C2211yescharacteristic, complemented
139#10622484C2211yescharacteristic, complemented
140#10622483C2211yescharacteristic, complemented
141#10622482C2211yescharacteristic, complemented
142#10622479C2211yescharacteristic
143#10622477C2211yescharacteristic
144#10622467C2211yescharacteristic, complemented
145#10622465C2211yescharacteristic, complemented
146#10622465C2211yescharacteristic, complemented
147#10622461C2211yescharacteristic
148#10622457C2211yescharacteristic
149D11×C4⋊C8C2211yescharacteristic, complemented
150#10622441C2211yescharacteristic, complemented
151#10622432C2211yescharacteristic
152#10622432C2211yescharacteristic, complemented
153#10622432C2211yescharacteristic, complemented
154#10622424C2211yescharacteristic, complemented
155#10622424C2211yescharacteristic, complemented
156#10622423C2211yescharacteristic, complemented
157#10622423C2211yescharacteristic, complemented
158#10622417C2211yescharacteristic, complemented
159#10622417C2211yescharacteristic, complemented
160#10622413C2211yescharacteristic
161#10622411C2211yescharacteristic
162#10622411C2211yescharacteristic
163#10622411C2211yescharacteristic
164#10622411C2211yescharacteristic, complemented
165#10622411C2211yescharacteristic, complemented
166#10622411C2211yescharacteristic, complemented
167#10622411C2211yescharacteristic, complemented
168#10622409C2211yescharacteristic, complemented
169#10622408C2211yescharacteristic
170#10622407C2211yescharacteristic, complemented
171#10622403C2211yescharacteristic, complemented
172#10622402C2211yescharacteristic, complemented
173#10622402C2211yescharacteristic, complemented
174#10622401C2211yescharacteristic, complemented
175#10622400C2211yescharacteristic, complemented
176#10622399C2211yescharacteristic
177#10622399C2211yescharacteristic, complemented
178#10622399C2211yescharacteristic, complemented
179#10622397C2211yescharacteristic, complemented
180#10622394C2211yescharacteristic
181#10622391C2211yescharacteristic, complemented
182#10622388C2211yescharacteristic, complemented
183#10622377C2211yescharacteristic, complemented
184#10622375C2211yescharacteristic
185#10622375C2211yescharacteristic
186#10622375C2211yescharacteristic, complemented
187#10622375C2211yescharacteristic, complemented
188#10622375C2211yescharacteristic, complemented
189#10622373C2211yescharacteristic, complemented
190#10622372C2211yescharacteristic, complemented
191#10622351C2211yescharacteristic
192#10622347C2211yescharacteristic
193#10622345C2211yescharacteristic
194#10622344C2211yescharacteristic
195#10622341C2211yescharacteristic, complemented
196(C22⋊D11)⋊C8C2211yescharacteristic, complemented
197#10622333C2211yescharacteristic, complemented
198#10622333C2211yescharacteristic, complemented
199#10622325C2211yescharacteristic
200#10622323C2211yescharacteristic
201#10622318C2211yescharacteristic, complemented
202#10622314C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C2×C11×#41C2311yescharacteristic
205C2×#4343C2311yescharacteristic
206C2×#4343C2311yescharacteristic
207C2×#4341C2311yescharacteristic
208C2×D4×D11—21no—
209C2×#4339—21no—
210C2×#4339—21no—
211C2×#4339C2311yescharacteristic
212C22×D44C2311yescharacteristic
213C22×D44C2311yescharacteristic
214C22×Dic22C2311yescharacteristic
215C2×C11×SD16C2311yescharacteristic
216C2×C11×SD16C2311yescharacteristic
217C2×C11×D8C2311yescharacteristic
218C2×C11×M16C2311yescharacteristic
219C22×C8×C11C2311yescharacteristic
220C11×C4⋊Q8C2311yescharacteristic
221C11×#126—21no—
222C11×#125C2311yescharacteristic
223C11×#123—21no—
224C11×#123—21no—
225C11×#123—21no—
226C11×C22⋊Q8C2311yescharacteristic
227C11×C22⋊Q8C2311yescharacteristic
228C11×#121—21no—
229C11×#121—21no—
230C11×#121C2311yescharacteristic
231C11×#121C2311yescharacteristic
232C4×D4×C11—21no—
233C4×D4×C11C2311yescharacteristic
234C4×D4×C11C2311yescharacteristic
235C4×D4×C11C2311yescharacteristic
236C11×#117C2311yescharacteristic
237C2×C11×C4⋊C4—21no—
238C2×C11×C4⋊C4C2311yescharacteristic
239#67004—42no—
240#67003—42no—
241#67000C2311yescharacteristic
242#67000C2311yescharacteristic
243#67000C2311yescharacteristic
244#67000C2311yescharacteristic
245Q8×Dic11C2311yescharacteristic
246Q8×Dic11C2311yescharacteristic
247C2×#4326C2311yescharacteristic
248C2×#4326C2311yescharacteristic
249C2×#4326C2311yescharacteristic
250C2×#4326C2311yescharacteristic
251C2×#4325C2311yescharacteristic
252C2×#4325C2311yescharacteristic
253#66993—21no—
254#66993—21no—
255#66993—21no—
256#66993C2311yescharacteristic
257#66993C2311yescharacteristic
258#66993C2311yescharacteristic
259#66993C2311yescharacteristic
260#66992—21no—
261#66992—21no—
262#66992—21no—
263#66992—21no—
264#66991—21no—
265#66991—21no—
266#66991—21no—
267#66991D411yescharacteristic
268#66991C2311yescharacteristic
269#66990—21no—
270#66990—21no—
271#66990—21no—
272#66990—21no—
273#66989—21no—
274#66989D411yescharacteristic
275#66989C2311yescharacteristic
276#66988—21no—
277D4×Dic11—21no—
278D4×Dic11C2311yescharacteristic
279C2×#4324C2311yescharacteristic
280C2×#4324C2311yescharacteristic
281C2×#4323C2311yescharacteristic
282C2×#4323C2311yescharacteristic
283C2×#4323C2311yescharacteristic
284C2×#4323C2311yescharacteristic
285#66983—21no—
286#66983—21no—
287#66983—21no—
288#66983—21no—
289#66983—21no—
290#66983—21no—
291#66983—21no—
292#66983C2311yescharacteristic
293#66983C2311yescharacteristic
294#66983C2311yescharacteristic
295#66982—21no—
296#66982—21no—
297C4×C22⋊D11—21no—
298C4×C22⋊D11—21no—
299C4×C22⋊D11—21no—
300C4×C22⋊D11—21no—
301C4×C22⋊D11—21no—
302C4×C22⋊D11—21no—
303C4×C22⋊D11—21no—
304C4×C22⋊D11C2311yescharacteristic
305C4×C22⋊D11C2311yescharacteristic
306#66979—21no—
307#66979C2311yescharacteristic
308#66979C2311yescharacteristic
309#66977C2311yescharacteristic
310C2×C4×Dic11—21no—
311C2×#4318C2311yescharacteristic
312C22×C11⋊C8C2311yescharacteristic
313#66969—42no—
314#66969—42no—
315#66961—42no—
316C2×D88C2311yescharacteristic
317C2×D88C2311yescharacteristic
318C2×D88C2311yescharacteristic
319C2×#4314—42no—
320C2×#4314C2311yescharacteristic
321C2×#4314C2311yescharacteristic
322C2×#4314C2311yescharacteristic
323C2×#4314C2311yescharacteristic
324C2×#4314C2311yescharacteristic
325C2×#4314C2311yescharacteristic
326C2×C8×D11C2311yescharacteristic
327C2×C8×D11C2311yescharacteristic
328#66951—21no—
329#66951—21no—
330#66951—21no—
331#66951—21no—
332#66951—21no—
333#66951—21no—
334#66950—21no—
335#66950—21no—
336#66950—21no—
337#66950D411yescharacteristic
338#66950C2311yescharacteristic
339#66949—21no—
340#66948—21no—
341#66948—21no—
342#66948—21no—
343#66948—21no—
344#66948—21no—
345#66948C2311yescharacteristic
346#66948C2311yescharacteristic
347#66947—21no—
348#66947—21no—
349#66947—21no—
350#66946—21no—
351#66946—21no—
352#66946—21no—
353#66946C2311yescharacteristic
354#66946C2311yescharacteristic
355#66946C2311yescharacteristic
356#66946C2311yescharacteristic
357#66945—21no—
358#66945—21no—
359#66945—21no—
360#66945C2311yescharacteristic
361C4⋊C4×D11—21no—
362#66943D411yescharacteristic
363#66943C2311yescharacteristic
364#66942—21no—
365#66942—21no—
366#66942—21no—
367#66941—21no—
368#66941C2311yescharacteristic
369#66941C2311yescharacteristic
370#66940—21no—
371#66940C2311yescharacteristic
372#66940C2311yescharacteristic
373#66940C2311yescharacteristic
374#66940C2311yescharacteristic
375#66940C2311yescharacteristic
376#66939—21no—
377#66938—21no—
378#66938—21no—
379#66938—21no—
380#66938—21no—
381#66938—21no—
382#66938—21no—
383#66938—21no—
384#66937—21no—
385#66937—21no—
386#66937—21no—
387#66937—21no—
388#66937—21no—
389#66936—21no—
390#66936—21no—
391#66936—21no—
392#66936—21no—
393#66936D411yescharacteristic
394#66936D411yescharacteristic
395#66935—21no—
396#66935—21no—
397#66935—21no—
398#66935—21no—
399(C22⋊D11)⋊C4—21no—
400(C22⋊D11)⋊C4—21no—
401(C22⋊D11)⋊C4—21no—
402C22⋊C4×D11—21no—
403C22⋊C4×D11—21no—
404#66932—21no—
405#66932D411yescharacteristic
406#66932D411yescharacteristic
407#66931—21no—
408#66931—21no—
409#66930—21no—
410#66930—21no—
411#66930—21no—
412#66928—21no—
413#66928C2311yescharacteristic
414#66927C2311yescharacteristic
415C4×D44C2311yescharacteristic
416#66925—21no—
417C42×D11C2311yescharacteristic
418C4×Dic22—21no—
419C4×Dic22—21no—
420C4×Dic22C2311yescharacteristic
421C4×Dic22C2311yescharacteristic
422C11×#107C2311yescharacteristic
423C11×#106C2311yescharacteristic
424C11×#106C2311yescharacteristic
425C11×C4⋊C8C2311yescharacteristic
426C11×#103C2311yescharacteristic
427C11×#103C2311yescharacteristic
428C11×#103C2311yescharacteristic
429C11×#103C2311yescharacteristic
430C11×#103C2311yescharacteristic
431C11×#103C2311yescharacteristic
432C11×#102C2311yescharacteristic
433C11×#102C2311yescharacteristic
434C11×#102C2311yescharacteristic
435C11×#102C2311yescharacteristic
436C11×C22⋊C8C2311yescharacteristic
437C11×C22⋊C8C2311yescharacteristic
438C11×#97C2311yescharacteristic
439#66899C2311yescharacteristic
440#66899C2311yescharacteristic
441#66896C2311yescharacteristic
442#66896C2311yescharacteristic
443C22⋊(C11⋊C8)C2311yescharacteristic
444C22⋊(C11⋊C8)C2311yescharacteristic
445#66885C2311yescharacteristic
446#66885C2311yescharacteristic
447#66885C2311yescharacteristic
448#66885C2311yescharacteristic
449(C2×D11)⋊C8C2311yescharacteristic
450(C2×D11)⋊C8C2311yescharacteristic
451#66882C2311yescharacteristic
452#66880C2311yescharacteristic
453#66880C2311yescharacteristic
454#66879C2311yescharacteristic
455#66879C2311yescharacteristic
456Dic11⋊C8C2311yescharacteristic
457Dic11⋊C8C2311yescharacteristic
458Dic11⋊C8C2311yescharacteristic
459Dic11⋊C8C2311yescharacteristic
460Dic11⋊C8C2311yescharacteristic
461Dic11⋊C8C2311yescharacteristic
462Dic11⋊C8C2311yescharacteristic
463Dic11⋊C8C2311yescharacteristic
464C8×Dic11C2311yescharacteristic
465C8×Dic11C2311yescharacteristic
466#66874C2311yescharacteristic
467#66874C2311yescharacteristic
468#66873C2311yescharacteristic
469#66873C2311yescharacteristic
470#66873C2311yescharacteristic
471#66873C2311yescharacteristic
472#66873C2311yescharacteristic
473#66873C2311yescharacteristic
474#66873C2311yescharacteristic
475#66873C2311yescharacteristic
476#66873C2311yescharacteristic
477#66873C2311yescharacteristic
478#66872C2311yescharacteristic
479#66872C2311yescharacteristic
480#66871C2311yescharacteristic
481#66871C2311yescharacteristic
482C4⋊(C11⋊C8)C2311yescharacteristic
483#66867C2311yescharacteristic
484#62026—111nomaximal, Sylow
485C23×D11—21no—
486C23×D11—21no—
487C11×#41—41no—
488C11×#41—41no—
489C11×#41—41no—
490C11×#41—41no—
491C2×Q8×C11C2411yescharacteristic
492C2×Q8×C11C2411yescharacteristic
493C2×D4×C11—21no—
494C2×D4×C11—21no—
495C2×D4×C11—21no—
496C2×D4×C11—21no—
497C2×D4×C11C2×D411yescharacteristic
498C2×D4×C11C2411yescharacteristic
499C2×D4×C11C2411yescharacteristic
500C22×C4×C11—21no—
501C22×C4×C11—21no—
502C22×C4×C11—21no—
503C22×C4×C11—21no—
504C22×C4×C11—21no—
505C22×C4×C11C2411yescharacteristic
506C22×C4×C11C2411yescharacteristic
507C2×C22⋊D11—21no—
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⋊D11C2×D411yescharacteristic
522C2×C22⋊D11C2×D411yescharacteristic
523C22×Dic11—21no—
524C22×Dic11—21no—
525C22×Dic11—21no—
526#4343—41no—
527#4343—41no—
528#4343—41no—
529#4343—41no—
530#4341—22no—
531#4341—41no—
532D4×D11—82no—
533#4339—22no—
534#4339—41no—
535#4339—82no—
536#4339—82no—
537C2×D44—21no—
538C2×D44—21no—
539C2×D44—21no—
540C2×D44—21no—
541C2×D44—21no—
542C2×D44—21no—
543C2×D44—21no—
544C2×D44—21no—
545C2×D44—41no—
546C2×D44—41no—
547C2×D44—41no—
548C2×D44—41no—
549C2×D44C2411yescharacteristic
550C2×D44C2411yescharacteristic
551C2×D44C2411yescharacteristic
552C2×D44C2411yescharacteristic
553C2×C4×D11—21no—
554C2×C4×D11—21no—
555C2×C4×D11—21no—
556C2×C4×D11—21no—
557C2×C4×D11—21no—
558C2×C4×D11—21no—
559C2×C4×D11—21no—
560C2×C4×D11—21no—
561C2×C4×D11C2×D411yescharacteristic
562C2×C4×D11C2×D411yescharacteristic
563C2×C4×D11C2411yescharacteristic
564C2×Dic22—22no—
565C2×Dic22—21no—
566C2×Dic22—21no—
567C2×Dic22—21no—
568C2×Dic22—41no—
569C2×Dic22C2×D411yescharacteristic
570C2×Dic22C2411yescharacteristic
571C2×Dic22C2411yescharacteristic
572C11×SD16—41no—
573C11×SD16—41no—
574C11×D8—41no—
575C11×M16—41no—
576C2×C8×C11—41no—
577C2×C8×C11C2411yescharacteristic
578C2×C8×C11C2411yescharacteristic
579C2×C8×C11C2411yescharacteristic
580C2×C8×C11C2411yescharacteristic
581C11×C4⋊C4—21no—
582C11×C4⋊C4—21no—
583C11×C4⋊C4—21no—
584C11×C4⋊C4—21no—
585C11×C4⋊C4—21no—
586C11×C4⋊C4—21no—
587C11×C4⋊C4—21no—
588C11×C4⋊C4C2×D411yescharacteristic
589C11×C4⋊C4C2411yescharacteristic
590C11×C4⋊C4C2411yescharacteristic
591C11×C4⋊C4C2411yescharacteristic
592C11×C4⋊C4C2411yescharacteristic
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
604C22⋊Dic11—21no—
605C22⋊Dic11—21no—
606C22⋊Dic11—21no—
607C22⋊Dic11—21no—
608C22⋊Dic11—21no—
609C22⋊Dic11C2×D411yescharacteristic
610C22⋊Dic11C2×D411yescharacteristic
611C22⋊Dic11C2×D411yescharacteristic
612C22⋊Dic11C2×D411yescharacteristic
613C22⋊Dic11C2×D411yescharacteristic
614C22⋊Dic11C2×D411yescharacteristic
615#4326—22no—
616#4326—22no—
617#4326—41no—
618#4326—41no—
619#4325—41no—
620#4325—41no—
621#4324—22no—
622#4324—41no—
623#4323—41no—
624#4323—41no—
625#4323—41no—
626#4323—41no—
627(C2×D11)⋊C4—21no—
628(C2×D11)⋊C4—21no—
629(C2×D11)⋊C4—21no—
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)⋊C4—21no—
645(C2×D11)⋊C4—21no—
646(C2×D11)⋊C4—21no—
647(C2×D11)⋊C4—21no—
648(C2×D11)⋊C4—21no—
649(C2×D11)⋊C4C2×D411yescharacteristic
650(C2×D11)⋊C4C2×D411yescharacteristic
651C4⋊Dic11—21no—
652C4⋊Dic11—21no—
653C4⋊Dic11—21no—
654C4⋊Dic11—21no—
655C4⋊Dic11C2×D411yescharacteristic
656C4⋊Dic11C2×D411yescharacteristic
657C4⋊Dic11C2×D411yescharacteristic
658C4⋊Dic11C2×D411yescharacteristic
659C4⋊Dic11C2×D411yescharacteristic
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⋊C4C2×D411yescharacteristic
673Dic11⋊C4C2×D411yescharacteristic
674Dic11⋊C4C2×D411yescharacteristic
675Dic11⋊C4C2×D411yescharacteristic
676C4×Dic11—21no—
677C4×Dic11—21no—
678C4×Dic11—21no—
679C4×Dic11—21no—
680C4×Dic11—21no—
681C4×Dic11—21no—
682C4×Dic11—21no—
683C4×Dic11—21no—
684C4×Dic11—21no—
685C4×Dic11C2×D411yescharacteristic
686C4×Dic11C2×D411yescharacteristic
687C4×Dic11C2411yescharacteristic
688C4×Dic11C2411yescharacteristic
689C4×Dic11C2411yescharacteristic
690#4318—41no—
691C2×C11⋊C8—41no—
692C2×C11⋊C8C2411yescharacteristic
693C2×C11⋊C8C2411yescharacteristic
694C2×C11⋊C8C2411yescharacteristic
695C2×C11⋊C8C2411yescharacteristic
696D88—41no—
697D88—41no—
698D88—41no—
699#4314—22no—
700#4314—22no—
701#4314—22no—
702#4314—41no—
703#4314—41no—
704#4314—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#3307D1111yescharacteristic, complemented
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#3224—111no—
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×C11C22×D411yescharacteristic
741C23×C11C22×D411yescharacteristic
742C22×D11—21no—
743C22×D11—21no—
744C22×D11—21no—
745C22×D11—21no—
746C22×D11—81no—
747C22×D11—81no—
748C22×D11—81no—
749C22×D11—81no—
750C22×D11—81no—
751C22×D11—81no—
752C22×D11C22×D411yescharacteristic
753Q8×C11—21no—
754Q8×C11—21no—
755Q8×C11—21no—
756Q8×C11—21no—
757D4×C11—21no—
758D4×C11—21no—
759D4×C11—21no—
760D4×C11—21no—
761D4×C11—41no—
762D4×C11—81no—
763D4×C11—81no—
764D4×C11—81no—
765D4×C11—81no—
766C2×C4×C11—21no—
767C2×C4×C11—21no—
768C2×C4×C11—21no—
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—42no—
777C2×C4×C11—81no—
778C2×C4×C11—81no—
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×C11C2511yescharacteristic
786C22⋊D11—41no—
787C22⋊D11—41no—
788C22⋊D11—42no—
789C22⋊D11—42no—
790C22⋊D11—81no—
791C22⋊D11—81no—
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—
802C2×Dic11—21no—
803C2×Dic11—21no—
804C2×Dic11—21no—
805C2×Dic11—21no—
806C2×Dic11—42no—
807C2×Dic11—42no—
808C2×Dic11—81no—
809C2×Dic11C22×D411yescharacteristic
810C2×Dic11C22×D411yescharacteristic
811C2×Dic11C22×D411yescharacteristic
812C2×Dic11C22×D411yescharacteristic
813C2×Dic11C22×D411yescharacteristic
814C2×Dic11C22×D411yescharacteristic
815C2×Dic11C22×D411yescharacteristic
816D44—21no—
817D44—21no—
818D44—21no—
819D44—21no—
820D44—21no—
821D44—21no—
822D44—21no—
823D44—21no—
824D44—42no—
825D44—81no—
826D44—81no—
827D44—81no—
828D44—81no—
829D44—81no—
830D44—81no—
831D44—81no—
832C4×D11—21no—
833C4×D11—21no—
834C4×D11—41no—
835C4×D11—41no—
836C4×D11—42no—
837C4×D11—42no—
838C4×D11—81no—
839C4×D11—81no—
840C4×D11—81no—
841C4×D11—81no—
842C4×D11—81no—
843C4×D11—81no—
844Dic22—21no—
845Dic22—21no—
846Dic22—21no—
847Dic22—41no—
848Dic22—42no—
849Dic22—81no—
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—221no—
875#553—221no—
876#553C2×D1111yescharacteristic
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#547C2×D1111yescharacteristic
886#546—111no—
887#546—111no—
888#546—221no—
889D42—111no—
890#542—111no—
891#542—111no—
892#542—111no—
893#542—221no—
894#540—111no—
895#540—221no—
896#538—221no—
897#538—221no—
898#537—221no—
899#535—111no—
900#535—111no—
901#535—221no—
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#496—111no—
915#495—111no—
916#493—111no—
917#491C2×D1111yescharacteristic, complemented
918#490—111no—
919#490—111no—
920#489—111no—
921#488—111no—
922#486—111no—
923#485C2×D1111yescharacteristic, complemented
924#483C2×D1111yescharacteristic, complemented
925#482—111no—
926#482—111no—
927#482—111no—
928#481—111no—
929#479—111no—
930#478—111no—
931#478—111no—
932#478C2×D1111yescharacteristic, complemented
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#468C2×D1111yescharacteristic, complemented
943#467—111no—
944#466—111no—
945#466—111no—
946#466—111no—
947#466—111no—
948#465—111no—
949#465—111no—
950#465C2×D1111yescharacteristic, complemented
951#464—111no—
952#464—111no—
953#464—111no—
954#464—111no—
955#464—111no—
956#464—111no—
957#464—111no—
958#464—111no—
959#463—111no—
960#463—111no—
961#463—111no—
962#463—111no—
963#463—111no—
964#463—111no—
965#463—111no—
966#463—111no—
967#462—111no—
968#461C2×D1111yescharacteristic, complemented
969#460—111no—
970#460—111no—
971#460—111no—
972#460—111no—
973#460—111no—
974#460—111no—
975#460—111no—
976#459—111no—
977#459—111no—
978#459—111no—
979#459—111no—
980#459—111no—
981#452—111no—
982#452—111no—
983#452—111no—
984#452—111no—
985#451—111no—
986#450—111no—
987#449—111no—
988#449—111no—
989#449—111no—
990#449—111no—
991#449—111no—
992#449—111no—
993#449C2×D1111yescharacteristic, complemented
994#449C2×D1111yescharacteristic, complemented
995#448—111no—
996#447—111no—
997#447—111no—
998#447—111no—
999#446—111no—
1000#446—111no—
1001#442—111no—
1002#442—111no—
1003#442C2×D1111yescharacteristic, complemented
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#435C2×D1111yescharacteristic
1017C8×D4—111no—
1018C8×D4—111no—
1019#433—111no—
1020#433—111no—
1021#432—111no—
1022#424—111no—
1023#424—111no—
1024C2×C4⋊C8—111no—
1025#418—111no—
1026#417C2×D1111yescharacteristic, complemented
1027#416—111no—
1028#416—111no—
1029#416C2×D1111yescharacteristic, complemented
1030C2×#102—111no—
1031C22×C11—21no—
1032C22×C11—21no—
1033C22×C11—21no—
1034C22×C11—21no—
1035C22×C11—21no—
1036C22×C11—21no—
1037C22×C11—41no—
1038C22×C11—41no—
1039C22×C11—41no—
1040C22×C11—41no—
1041C22×C11—41no—
1042C22×C11—41no—
1043C22×C11C23×D411yescharacteristic
1044C2×D11—21no—
1045C2×D11—21no—
1046C2×D11—21no—
1047C2×D11—41no—
1048C2×D11—41no—
1049C2×D11—41no—
1050C2×D11—41no—
1051C2×D11—41no—
1052C2×D11—41no—
1053C2×D11—41no—
1054C2×D11—41no—
1055C2×D11—41no—
1056C2×D11—41no—
1057C2×D11—41no—
1058C2×D11—41no—
1059C2×D11—162no—
1060C2×D11—162no—
1061C4×C11—21no—
1062C4×C11—21no—
1063C4×C11—21no—
1064C4×C11—21no—
1065C4×C11—41no—
1066C4×C11—41no—
1067C4×C11—41no—
1068C4×C11—41no—
1069C4×C11—41no—
1070C4×C11—41no—
1071C4×C11C2×H(5,𝔽2)11yescharacteristic
1072C4×C11#58511yescharacteristic
1073Dic11—21no—
1074Dic11—21no—
1075Dic11—21no—
1076Dic11—21no—
1077Dic11—21no—
1078Dic11—21no—
1079Dic11—22no—
1080Dic11—21no—
1081Dic11—41no—
1082Dic11—41no—
1083Dic11—41no—
1084C2×#41—111no—
1085C2×#41—111no—
1086C2×#41—111no—
1087C2×#41—111no—
1088C2×#41—221no—
1089C2×#41—221no—
1090C2×#41C22×D1111yescharacteristic
1091C2×#41C22×D1111yescharacteristic
1092C22×Q8—111no—
1093C22×D4—111no—
1094C22×D4—111no—
1095C22×D4—221no—
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×Q16—111no—
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—111no—
1114C2×SD16—111no—
1115C2×SD16—442no—
1116C2×SD16C22×D1111yescharacteristic
1117C2×SD16C22×D1111yescharacteristic
1118C2×D8—111no—
1119C2×D8—111no—
1120C2×D8—111no—
1121C2×D8—111no—
1122C2×D8—111no—
1123C2×D8—111no—
1124C2×D8—111no—
1125C2×D8C22×D1111yescharacteristic
1126C2×M16—111no—
1127C2×M16C22×D1111yescharacteristic
1128C22×C8—111no—
1129C22×C8—111no—
1130C22×C8—111no—
1131C22×C8C22×D1111yescharacteristic
1132C4⋊Q8—111no—
1133C4⋊Q8—111no—
1134C4⋊Q8—221no—
1135C4⋊Q8C22×D1111yescharacteristic
1136#127—111no—
1137#127—111no—
1138#127—111no—
1139#127—111no—
1140#127—111no—
1141#127—221no—
1142#127—221no—
1143#127—221no—
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—221no—
1157#125—221no—
1158#125—221no—
1159#125C22×D1111yescharacteristic
1160#124—111no—
1161#124—111no—
1162#124—111no—
1163#124—111no—
1164#124—111no—
1165#124—111no—
1166#124—111no—
1167#124—221no—
1168#124—221no—
1169#124—221no—
1170#124—221no—
1171#124—221no—
1172#124—221no—
1173#124—221no—
1174#124—221no—
1175#124—221no—
1176#123—21no—
1177#123—21no—
1178#123—21no—
1179#123—111no—
1180#123—111no—
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—111no—
1193C22⋊Q8—111no—
1194C22⋊Q8—111no—
1195C22⋊Q8—221no—
1196C22⋊Q8—221no—
1197C22⋊Q8—221no—
1198C22⋊Q8—221no—
1199C22⋊Q8—221no—
1200C22⋊Q8—221no—
1201C22⋊Q8C22×D1111yescharacteristic
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—221no—
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#121C22×D1111yescharacteristic
1237#121C22×D1111yescharacteristic
1238#120—221no—
1239#120—221no—
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—111no—
1255C4×Q8—221no—
1256C4×Q8—221no—
1257C4×Q8—221no—
1258C4×D4—21no—
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—221no—
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×D4C22×D1111yescharacteristic
1282C4×D4C22×D1111yescharacteristic
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—21no—
1297C2×C4⋊C4—221no—
1298C2×C4⋊C4C22×D1111yescharacteristic
1299C2×C22⋊C4—221no—
1300C2×C22⋊C4—221no—
1301C2×C42—111no—
1302C2×C42—221no—
1303#107—111no—
1304#107—111no—
1305#107—111no—
1306#107C22×D1111yescharacteristic
1307#106—111no—
1308#106—111no—
1309#106C22×D1111yescharacteristic
1310#106C22×D1111yescharacteristic
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⋊C8—111no—
1320C4⋊C8C22×D1111yescharacteristic
1321#103—111no—
1322#103—111no—
1323#103—111no—
1324#103—111no—
1325#103—111no—
1326#103—111no—
1327#103C22×D1111yescharacteristic
1328#103C22×D1111yescharacteristic
1329#103C22×D1111yescharacteristic
1330#103C22×D1111yescharacteristic
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#102—111no—
1348#102—111no—
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×C8—111no—
1365C2×C11—41no—
1366C2×C11—41no—
1367C2×C11—81no—
1368C2×C11—81no—
1369C2×C11#348811yescharacteristic
1370C2×C11#358411yescharacteristic
1371C2×C11#358511yescharacteristic
1372D11—41no—
1373D11—81no—
1374D11—81no—
1375D11—81no—
1376D11—81no—
1377C24—221no—
1378C24—221no—
1379#41—41no—
1380#41—41no—
1381#41—41no—
1382#41—41no—
1383#41—222no—
1384#41—222no—
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—111no—
1394C2×Q8—111no—
1395C2×Q8—111no—
1396C2×Q8—221no—
1397C2×Q8—221no—
1398C2×Q8—222no—
1399C2×Q8—221no—
1400C2×Q8—441no—
1401C2×Q8C23×D1111yescharacteristic
1402C2×Q8C23×D1111yescharacteristic
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—111no—
1408C2×D4—111no—
1409C2×D4—111no—
1410C2×D4—111no—
1411C2×D4—111no—
1412C2×D4—111no—
1413C2×D4—221no—
1414C2×D4—221no—
1415C2×D4—221no—
1416C2×D4—221no—
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—441no—
1436C2×D4—441no—
1437C2×D4—441no—
1438C2×D4—441no—
1439C2×D4—882no—
1440C2×D4D4×D1111yescharacteristic
1441C2×D4C23×D1111yescharacteristic
1442C2×D4C23×D1111yescharacteristic
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—21no—
1448C22×C4—111no—
1449C22×C4—111no—
1450C22×C4—111no—
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×C4C23×D1111yescharacteristic
1463C22×C4C23×D1111yescharacteristic
1464Q16—222no—
1465Q16—222no—
1466Q16—441no—
1467Q16—441no—
1468SD16—41no—
1469SD16—41no—
1470SD16—222no—
1471SD16—222no—
1472SD16—222no—
1473SD16—222no—
1474SD16—441no—
1475SD16—441no—
1476SD16—441no—
1477SD16—441no—
1478SD16—441no—
1479SD16—441no—
1480D8—41no—
1481D8—441no—
1482D8—441no—
1483D8—441no—
1484D8—441no—
1485D8—441no—
1486D8—441no—
1487D8—441no—
1488M16—41no—
1489M16—441no—
1490C2×C8—41no—
1491C2×C8—111no—
1492C2×C8—111no—
1493C2×C8—111no—
1494C2×C8—111no—
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—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
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—111no—
1518C4⋊C4—111no—
1519C4⋊C4—111no—
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⋊C4D4×D1111yescharacteristic
1535C4⋊C4C23×D1111yescharacteristic
1536C4⋊C4C23×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—111no—
1547C22⋊C4—111no—
1548C22⋊C4—111no—
1549C22⋊C4—111no—
1550C22⋊C4—111no—
1551C22⋊C4—111no—
1552C22⋊C4—111no—
1553C22⋊C4—111no—
1554C22⋊C4—221no—
1555C22⋊C4—221no—
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—111no—
1589C42—221no—
1590C42—221no—
1591C42—221no—
1592C42—221no—
1593C42—221no—
1594C42—221no—
1595C42—221no—
1596C42—221no—
1597C42—221no—
1598C42C23×D1111yescharacteristic
1599C11#6202611yescharacteristic, complemented, Sylow
1600C23—21no—
1601C23—21no—
1602C23—111no—
1603C23—221no—
1604C23—221no—
1605C23—221no—
1606C23—221no—
1607C23—881no—
1608C23—881no—
1609C23—881no—
1610C23—881no—
1611C23—881no—
1612C23—881no—
1613C23C2×D4×D1111yescharacteristic
1614C23C2×D4×D1111yescharacteristic
1615Q8—21no—
1616Q8—21no—
1617Q8—21no—
1618Q8—21no—
1619Q8—112no—
1620Q8—221no—
1621Q8—221no—
1622Q8—221no—
1623Q8—441no—
1624Q8—442no—
1625Q8—881no—
1626Q8—881no—
1627D4—21no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—41no—
1632D4—81no—
1633D4—81no—
1634D4—81no—
1635D4—81no—
1636D4—221no—
1637D4—221no—
1638D4—221no—
1639D4—221no—
1640D4—221no—
1641D4—221no—
1642D4—221no—
1643D4—221no—
1644D4—442no—
1645D4—441no—
1646D4—441no—
1647D4—442no—
1648D4—442no—
1649D4—881no—
1650D4—881no—
1651D4—881no—
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—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—42no—
1679C2×C4—81no—
1680C2×C4—81no—
1681C2×C4—81no—
1682C2×C4—81no—
1683C2×C4—111no—
1684C2×C4—111no—
1685C2×C4—111no—
1686C2×C4—111no—
1687C2×C4—111no—
1688C2×C4—111no—
1689C2×C4—111no—
1690C2×C4—221no—
1691C2×C4—221no—
1692C2×C4—221no—
1693C2×C4—221no—
1694C2×C4—221no—
1695C2×C4—221no—
1696C2×C4—441no—
1697C2×C4—441no—
1698C2×C4—442no—
1699C2×C4—442no—
1700C2×C4—442no—
1701C2×C4—442no—
1702C2×C4—881no—
1703C2×C4—881no—
1704C2×C4—881no—
1705C2×C4—881no—
1706C2×C4—881no—
1707C2×C4—881no—
1708C2×C4—881no—
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—21no—
1726C22—21no—
1727C22—21no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—221no—
1735C22—221no—
1736C22—221no—
1737C22—441no—
1738C22—441no—
1739C22—441no—
1740C22—441no—
1741C22—441no—
1742C22—441no—
1743C22—441no—
1744C22—441no—
1745C22—441no—
1746C22—441no—
1747C22—441no—
1748C22—441no—
1749C22—1762no—
1750C22—1762no—
1751C22C22×D4×D1111yescharacteristic
1752C4—21no—
1753C4—21no—
1754C4—21no—
1755C4—21no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—221no—
1763C4—221no—
1764C4—221no—
1765C4—221no—
1766C4—222no—
1767C4—221no—
1768C4—221no—
1769C4—221no—
1770C4—441no—
1771C4—441no—
1772C4—441no—
1773C4#1062345311yescharacteristic
1774C4D11×H(5,𝔽2)11yescharacteristic
1775C2—41no—
1776C2—41no—
1777C2—81no—
1778C2—81no—
1779C2—441no—
1780C2—881no—
1781C2—881no—
1782C2—881no—
1783C2—881no—
1784C2#1308227911yescharacteristic
1785C2#1308338811yescharacteristic
1786C2#1308339311yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3307C2
socleC22×C11C23×D4
hypercenter#3307D11
hypocenterC11#62026
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3307

Complements

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

NH ≅ G/Ntype
1. #13082989C2semidirect
2. #13082724C2semidirect
3. #13081689C2semidirect
4. #13081659C2semidirect
5. #13081453C2semidirect
6. #13081348C2semidirect
7. #13080775C2semidirect
8. #13080751C2semidirect
9. #13080743C2semidirect
10. #13080562C2semidirect
11. #13080449C2semidirect
12. #13080369C2semidirect
13. #13080320C2semidirect
14. #13080199C2semidirect
15. #13080167C2semidirect
16. #13080163C2semidirect
17. #13080116C2semidirect
18. #13080073C2semidirect
19. #13080030C2semidirect
20. #13079941C2semidirect
21. #13079708C2semidirect
22. #13079664C2semidirect
23. #13079656C2semidirect
24. #13078888C2semidirect
25. #13078848C2semidirect
26. #13078763C2semidirect
27. #13078154C2semidirect
28. #13078140C2semidirect
29. #13078072C2semidirect
30. #13077751C2semidirect
31. C11×#3307C2semidirect
38. C2×#67004C22semidirect
39. C2×#67003C22semidirect
40. C2×#66969C22semidirect
41. C2×#66969C22semidirect
48. #10623222C22semidirect
49. #10623216C22semidirect
60. #10623150C22semidirect
65. #10623134C22semidirect
66. #10623130C22semidirect
67. #10623129C22semidirect
69. #10623090C22semidirect
76. C4×#4341C22semidirect
77. #10623063C22semidirect
78. #10623047C22semidirect
80. #10623044C22semidirect
82. #10623035C22semidirect
83. C11×#491C22semidirect
84. C11×#485C22semidirect
85. C11×#483C22semidirect
86. C11×#478C22semidirect
87. C11×#468C22semidirect
88. C11×#465C22semidirect
89. C11×#461C22semidirect
90. C11×#449C22semidirect
91. C11×#449C22semidirect
92. C11×#442C22semidirect
94. C11×#417C22semidirect
95. C11×#416C22semidirect
96. #10622852C22semidirect
97. #10622851C22semidirect
100. #10622779C22semidirect
101. #10622778C22semidirect
102. #10622778C22semidirect
103. #10622776C22semidirect
104. #10622771C22semidirect
105. #10622767C22semidirect
106. #10622764C22semidirect
109. #10622740C22semidirect
110. #10622732C22semidirect
112. C8×C22⋊D11C22semidirect
113. #10622715C22semidirect
114. #10622703C22semidirect
115. #10622699C22semidirect
118. #10622664C22semidirect
119. #10622663C22semidirect
120. #10622662C22semidirect
121. #10622660C22semidirect
126. #10622631C22semidirect
127. #10622629C22semidirect
135. #10622503C22semidirect
136. #10622502C22semidirect
138. #10622488C22semidirect
139. #10622484C22semidirect
140. #10622483C22semidirect
141. #10622482C22semidirect
144. #10622467C22semidirect
145. #10622465C22semidirect
146. #10622465C22semidirect
149. D11×C4⋊C8C22semidirect
150. #10622441C22semidirect
152. #10622432C22semidirect
153. #10622432C22semidirect
154. #10622424C22semidirect
155. #10622424C22semidirect
156. #10622423C22semidirect
157. #10622423C22semidirect
158. #10622417C22semidirect
159. #10622417C22semidirect
164. #10622411C22semidirect
165. #10622411C22semidirect
166. #10622411C22semidirect
167. #10622411C22semidirect
168. #10622409C22semidirect
170. #10622407C22semidirect
171. #10622403C22semidirect
172. #10622402C22semidirect
173. #10622402C22semidirect
174. #10622401C22semidirect
175. #10622400C22semidirect
177. #10622399C22semidirect
178. #10622399C22semidirect
179. #10622397C22semidirect
181. #10622391C22semidirect
182. #10622388C22semidirect
183. #10622377C22semidirect
186. #10622375C22semidirect
187. #10622375C22semidirect
188. #10622375C22semidirect
189. #10622373C22semidirect
190. #10622372C22semidirect
195. #10622341C22semidirect
196. (C22⋊D11)⋊C8C22semidirect
197. #10622333C22semidirect
198. #10622333C22semidirect
201. #10622318C22semidirect
202. #10622314C22semidirect
716. #3307D11semidirect
917. #491C2×D11semidirect
923. #485C2×D11semidirect
924. #483C2×D11semidirect
932. #478C2×D11semidirect
942. #468C2×D11semidirect
950. #465C2×D11semidirect
968. #461C2×D11semidirect
993. #449C2×D11semidirect
994. #449C2×D11semidirect
1003. #442C2×D11semidirect
1026. #417C2×D11semidirect
1029. #416C2×D11semidirect
1599. C11#62026semidirect

Maximal subgroups

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

subgroupindex
#130829892
#130827242
#130816892
#130816592
#130814532
#130813482
#130807752
#130807512
#130807432
#130805622
#130804492
#130803692
#130803202
#130801992
#130801672
#130801632
#130801162
#130800732
#130800302
#130799412
#130797082
#130796642
#130796562
#130788882
#130788482
#130787632
#130781542
#130781402
#130780722
#130777512
C11×#33072
#6202611