Finite Group Databasebeta

← #15639415

Subgroups — #15639415

Order 2816.

2022 conjugacy classes of subgroups.

The subgroup lattice has 1832 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082909C211yesmaximal, characteristic, complemented
2#13080899C211yesmaximal, characteristic, complemented
3#13080884C211yesmaximal, characteristic, complemented
4#13080787C211yesmaximal, characteristic, complemented
5#13080727C211yesmaximal, characteristic, complemented
6#13080682C211yesmaximal, characteristic, complemented
7#13080667C211yesmaximal, characteristic, complemented
8#13080518C211yesmaximal, characteristic, complemented
9#13080492C211yesmaximal, characteristic, complemented
10D4×#4326C211yesmaximal, characteristic, complemented
11#13080353C211yesmaximal, characteristic, complemented
12#13080269C211yesmaximal, characteristic, complemented
13#13080262C211yesmaximal, characteristic, complemented
14#13080187C211yesmaximal, characteristic, complemented
15#13080187C211yesmaximal, characteristic, complemented
16#13080182C211yesmaximal, characteristic, complemented
17#13080172C211yesmaximal, characteristic, complemented
18#13079725C211yesmaximal, characteristic, complemented
19#13079699C211yesmaximal, characteristic, complemented
20#13079507C211yesmaximal, characteristic, complemented
21#13079498C211yesmaximal, characteristic, complemented
22#13079442C211yesmaximal, characteristic, complemented
23#13079404C211yesmaximal, characteristic, complemented
24#13078916C211yesmaximal, characteristic, complemented
25#13078845C211yesmaximal, characteristic, complemented
26#13077931C211yesmaximal, characteristic, complemented
27#13077911C211yesmaximal, characteristic, complemented
28#13077850C211yesmaximal, characteristic, complemented
29C2×#10622841C211yesmaximal, characteristic, complemented
30#13077664C211yesmaximal, characteristic, complemented
31C11×#3486C211yesmaximal, characteristic, complemented
32C2×C11×2−1+4C2211yescharacteristic
33C23×Q8×C11C2211yescharacteristic
34D4×Q8×C11—21no—
35D4×Q8×C11—21no—
36D4×Q8×C11C2211yescharacteristic
37D4×Q8×C11C2211yescharacteristic
38D4×Q8×C11C2211yescharacteristic
39D4×Q8×C11C2211yescharacteristic
40C11×#548—21no—
41C11×#548—21no—
42C11×#548C2211yescharacteristic
43C11×#548C2211yescharacteristic
44C11×#548C2211yescharacteristic
45C11×#548C2211yescharacteristic
46C11×#536—21no—
47C11×#536—21no—
48C11×#536C2211yescharacteristic
49C11×#536C2211yescharacteristic
50C11×#525—21no—
51C11×#525—21no—
52C11×#525C2211yescharacteristic
53C11×#525C2211yescharacteristic
54C11×#519C2211yescharacteristic
55#10623364C2211yescharacteristic
56#10623356C2211yescharacteristic
57C2×#67004C2211yescharacteristic, complemented
58C2×#67003C2211yescharacteristic, complemented
59C22×#4326C2211yescharacteristic
60C22×#4326C2211yescharacteristic
61C22×#4326C2211yescharacteristic, complemented
62C2×#66995C2211yescharacteristic
63C2×#66995C2211yescharacteristic
64C2×#66995C2211yescharacteristic, complemented
65#10623322C2211yescharacteristic
66C2×#66977C2211yescharacteristic
67#10623193—21no—
68#10623191—21no—
69#10623177—21no—
70#10623167—21no—
71#10623152—21no—
72#10623132—21no—
73#10623124—21no—
74#10623124—21no—
75#10623096C2211yescharacteristic
76#10623083C2211yescharacteristic
77#10623083C2211yescharacteristic
78#10623082C2211yescharacteristic
79#10623074C2211yescharacteristic
80#10623073C2211yescharacteristic
81#10623072C2211yescharacteristic
82D4×Dic22C2211yescharacteristic
83#10623065C2211yescharacteristic
84#10623049C2211yescharacteristic
85#10622852C2211yescharacteristic
86#10622852C2211yescharacteristic
87#10622852C2211yescharacteristic
88#10622852C2211yescharacteristic, complemented
89#10622852C2211yescharacteristic, complemented
90#10622852C2211yescharacteristic, complemented
91#10622851C2211yescharacteristic
92#10622851C2211yescharacteristic, complemented
93#10622847C2211yescharacteristic
94#10622847C2211yescharacteristic
95#10622846C2211yescharacteristic, complemented
96#10622845C2211yescharacteristic, complemented
97#10622841C2211yescharacteristic
98#10622841C2211yescharacteristic
99#10622841C2211yescharacteristic
100#10622841C2211yescharacteristic
101#10622841C2211yescharacteristic
102#10622841C2211yescharacteristic
103#10622841C2211yescharacteristic
104#10622841C2211yescharacteristic
105#10622841C2211yescharacteristic
106#10622841C2211yescharacteristic
107#10622841C2211yescharacteristic
108#10622841C2211yescharacteristic
109#10622841C2211yescharacteristic, complemented
110#10622841C2211yescharacteristic, complemented
111#10622841C2211yescharacteristic, complemented
112#10622840C2211yescharacteristic
113#10622840C2211yescharacteristic
114#10622840C2211yescharacteristic
115#10622840C2211yescharacteristic
116#10622840C2211yescharacteristic, complemented
117#10622838C2211yescharacteristic
118#10622838C2211yescharacteristic
119#10622838C2211yescharacteristic, complemented
120C2×#66899C2211yescharacteristic
121C2×#66899C2211yescharacteristic
122C2×#66899C2211yescharacteristic, complemented
123#10622820C2211yescharacteristic
124C2×C22⋊(C11⋊C8)C2211yescharacteristic
125#10622705C2211yescharacteristic, complemented
126#10622703C2211yescharacteristic, complemented
127#10622703C2211yescharacteristic, complemented
128#10622703C2211yescharacteristic, complemented
129#10622699C2211yescharacteristic, complemented
130#10622696C2211yescharacteristic, complemented
131#10622695C2211yescharacteristic, complemented
132#10622694C2211yescharacteristic, complemented
133#10622673C2211yescharacteristic, complemented
134#10622672C2211yescharacteristic, complemented
135#10622670C2211yescharacteristic, complemented
136#10622669C2211yescharacteristic, complemented
137#10622668C2211yescharacteristic, complemented
138#10622667C2211yescharacteristic, complemented
139#10622667C2211yescharacteristic, complemented
140#10622667C2211yescharacteristic, complemented
141#10622665C2211yescharacteristic
142#10622665C2211yescharacteristic
143#10622665C2211yescharacteristic, complemented
144#10622665C2211yescharacteristic, complemented
145#10622665C2211yescharacteristic, complemented
146#10622664C2211yescharacteristic
147#10622664C2211yescharacteristic, complemented
148#10622664C2211yescharacteristic, complemented
149#10622664C2211yescharacteristic, complemented
150#10622663C2211yescharacteristic
151#10622663C2211yescharacteristic, complemented
152#10622663C2211yescharacteristic, complemented
153#10622662C2211yescharacteristic, complemented
154#10622661C2211yescharacteristic
155#10622661C2211yescharacteristic, complemented
156#10622660C2211yescharacteristic
157#10622660C2211yescharacteristic, complemented
158#10622660C2211yescharacteristic, complemented
159#10622658C2211yescharacteristic
160#10622658C2211yescharacteristic, complemented
161#10622658C2211yescharacteristic, complemented
162#10622657C2211yescharacteristic
163#10622657C2211yescharacteristic, complemented
164#10622656C2211yescharacteristic, complemented
165#10622655C2211yescharacteristic
166#10622655C2211yescharacteristic
167#10622654C2211yescharacteristic
168#10622653C2211yescharacteristic
169#10622651C2211yescharacteristic
170#10622650C2211yescharacteristic
171#10622648C2211yescharacteristic
172#10622647C2211yescharacteristic
173#10622644C2211yescharacteristic, complemented
174#10622644C2211yescharacteristic, complemented
175#10622643C2211yescharacteristic, complemented
176#10622643C2211yescharacteristic, complemented
177#10622643C2211yescharacteristic, complemented
178C4×#4326C2211yescharacteristic, complemented
179C4×#4326C2211yescharacteristic, complemented
180C4×#4326C2211yescharacteristic, complemented
181#10622641C2211yescharacteristic, complemented
182#10622641C2211yescharacteristic, complemented
183#10622639C2211yescharacteristic, complemented
184C4×#4325C2211yescharacteristic, complemented
185#10622635C2211yescharacteristic, complemented
186#10622635C2211yescharacteristic, complemented
187#10622634C2211yescharacteristic, complemented
188#10622633C2211yescharacteristic, complemented
189#10622625C2211yescharacteristic
190#10622625C2211yescharacteristic
191#10622624C2211yescharacteristic
192#10622624C2211yescharacteristic
193#10622624C2211yescharacteristic
194#10622624C2211yescharacteristic
195D4×C11⋊C8C2211yescharacteristic
196D4×C11⋊C8C2211yescharacteristic
197#10622616C2211yescharacteristic
198#10622613C2211yescharacteristic
199#10622613C2211yescharacteristic
200#10622609C2211yescharacteristic
201#10622609C2211yescharacteristic
202#10622609C2211yescharacteristic
203C11×2−1+4—42no—
204C11×2−1+4—42no—
205C2×C11×#41—21no—
206C2×C11×#41—21no—
207C2×C11×#41—21no—
208C2×C11×#41C2311yescharacteristic
209C2×C11×#41C2311yescharacteristic
210C2×C11×#41C2311yescharacteristic
211C2×C11×#41C2311yescharacteristic
212C22×Q8×C11—21no—
213C22×Q8×C11—21no—
214C22×Q8×C11—21no—
215C22×Q8×C11—21no—
216C22×Q8×C11—42no—
217C22×Q8×C11—42no—
218C22×Q8×C11C2311yescharacteristic
219C22×Q8×C11C2311yescharacteristic
220C22×Q8×C11C2311yescharacteristic
221C22×Q8×C11C2311yescharacteristic
222C22×Q8×C11C2311yescharacteristic
223C22×Q8×C11C2311yescharacteristic
224C22×Q8×C11C2311yescharacteristic
225C22×Q8×C11C2311yescharacteristic
226C23×C4×C11—21no—
227C23×C4×C11C2311yescharacteristic
228C2×#4339C2311yescharacteristic
229C2×#4339C2311yescharacteristic
230C22×Dic22C2311yescharacteristic
231C22×Dic22C2311yescharacteristic
232C11×C4⋊Q8—21no—
233C11×C4⋊Q8—21no—
234C11×C4⋊Q8—21no—
235C11×C4⋊Q8—21no—
236C11×C4⋊Q8—21no—
237C11×C4⋊Q8C2311yescharacteristic
238C11×C4⋊Q8C2311yescharacteristic
239C11×#124—21no—
240C11×#124—21no—
241C11×#124—21no—
242C11×#124—21no—
243C11×#124—21no—
244C11×#124C2311yescharacteristic
245C11×#124C2311yescharacteristic
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⋊Q8—21no—
265C11×C22⋊Q8—21no—
266C11×C22⋊Q8—21no—
267C11×C22⋊Q8D411yescharacteristic
268C11×C22⋊Q8D411yescharacteristic
269C11×C22⋊Q8C2311yescharacteristic
270C11×C22⋊Q8C2311yescharacteristic
271C11×C22⋊Q8C2311yescharacteristic
272C11×C22⋊Q8C2311yescharacteristic
273C11×C22⋊Q8C2311yescharacteristic
274C11×C22⋊Q8C2311yescharacteristic
275C11×#121—21no—
276C11×#121—21no—
277C11×#121—21no—
278C11×#121—21no—
279C11×#121D411yescharacteristic
280C11×#121D411yescharacteristic
281C11×#121C2311yescharacteristic
282C11×#121C2311yescharacteristic
283C11×#120—21no—
284C11×#120D411yescharacteristic
285C11×#120D411yescharacteristic
286C4×Q8×C11—21no—
287C4×Q8×C11—21no—
288C4×Q8×C11C2311yescharacteristic
289C4×Q8×C11C2311yescharacteristic
290C4×Q8×C11C2311yescharacteristic
291C4×Q8×C11C2311yescharacteristic
292C4×D4×C11—21no—
293C4×D4×C11—21no—
294C4×D4×C11—21no—
295C4×D4×C11—21no—
296C4×D4×C11—21no—
297C4×D4×C11—21no—
298C4×D4×C11—21no—
299C4×D4×C11—21no—
300C4×D4×C11—21no—
301C4×D4×C11—21no—
302C4×D4×C11C2311yescharacteristic
303C4×D4×C11C2311yescharacteristic
304C4×D4×C11C2311yescharacteristic
305C4×D4×C11C2311yescharacteristic
306C11×#117—21no—
307C11×#117—21no—
308C11×#117C2311yescharacteristic
309C11×#117C2311yescharacteristic
310#67006—21no—
311C2×C22⋊Dic11—21no—
312#67004—42no—
313#67003—42no—
314#66999—21no—
315#66997—21no—
316C2×#4326—42no—
317C2×#4326—42no—
318C2×#4326—42no—
319C2×#4326C2311yescharacteristic
320C2×#4326C2311yescharacteristic
321C2×#4326C2311yescharacteristic
322C2×#4326C2311yescharacteristic
323C2×#4326C2311yescharacteristic
324C2×#4326C2311yescharacteristic
325C2×#4326C2311yescharacteristic
326C2×#4326C2311yescharacteristic
327C2×#4326C2311yescharacteristic
328C2×#4326C2311yescharacteristic
329C2×#4326C2311yescharacteristic
330C2×#4326C2311yescharacteristic
331C2×#4326C2311yescharacteristic
332C2×#4326C2311yescharacteristic
333C2×#4326C2311yescharacteristic
334#66995—42no—
335#66995—42no—
336#66995—42no—
337C2×#4325C2311yescharacteristic
338C2×#4325C2311yescharacteristic
339C2×#4325C2311yescharacteristic
340C2×#4325C2311yescharacteristic
341C2×#4325C2311yescharacteristic
342#66992—21no—
343#66992—21no—
344#66992—21no—
345#66992—21no—
346#66992—21no—
347#66991—21no—
348#66991—21no—
349#66989—21no—
350#66989—21no—
351#66988—21no—
352#66988—21no—
353#66988—21no—
354D4×Dic11—21no—
355D4×Dic11—21no—
356C2×#4324C2311yescharacteristic
357C2×#4324C2311yescharacteristic
358C2×#4324C2311yescharacteristic
359C2×#4323C2311yescharacteristic
360#66983C2311yescharacteristic
361#66983C2311yescharacteristic
362#66983C2311yescharacteristic
363#66982—21no—
364C4×C22⋊D11—21no—
365C4×C22⋊D11—21no—
366#66979C2311yescharacteristic
367#66979C2311yescharacteristic
368C2×C4⋊Dic11C2311yescharacteristic
369C2×C4⋊Dic11C2311yescharacteristic
370#66977—21no—
371#66977—21no—
372#66977C2311yescharacteristic
373#66977C2311yescharacteristic
374#66977C2311yescharacteristic
375#66977C2311yescharacteristic
376#66977C2311yescharacteristic
377#66977C2311yescharacteristic
378#66977C2311yescharacteristic
379#66977C2311yescharacteristic
380#66977C2311yescharacteristic
381C2×Dic11⋊C4—21no—
382C2×#4318C2311yescharacteristic
383C2×#4318C2311yescharacteristic
384C2×#4318C2311yescharacteristic
385C2×#4318C2311yescharacteristic
386C22×C11⋊C8C2311yescharacteristic
387C22×C11⋊C8C2311yescharacteristic
388C22×C11⋊C8C2311yescharacteristic
389C22×C11⋊C8C2311yescharacteristic
390#66951—21no—
391#66951—21no—
392#66949—21no—
393#66949—21no—
394#66949—21no—
395C4⋊C4×D11—21no—
396#66943—21no—
397#66942—21no—
398#66942—21no—
399#66942—21no—
400#66941—21no—
401#66940—21no—
402#66938—21no—
403#66938—21no—
404#66938—21no—
405#66936—21no—
406#66936—21no—
407#66936—21no—
408#66936—21no—
409(C22⋊D11)⋊C4—21no—
410(C22⋊D11)⋊C4—21no—
411(C22⋊D11)⋊C4—21no—
412#66932—21no—
413#66932—21no—
414#66932—21no—
415#66932—21no—
416#66932—21no—
417#66931—21no—
418#66931—21no—
419#66931—21no—
420#66931—21no—
421#66930—21no—
422#66928C2311yescharacteristic
423C4×D44C2311yescharacteristic
424#66923C2311yescharacteristic
425#66922C2311yescharacteristic
426#66922C2311yescharacteristic
427C4×Dic22C2311yescharacteristic
428C4×Dic22C2311yescharacteristic
429C4×Dic22C2311yescharacteristic
430#66899C2311yescharacteristic
431#66899C2311yescharacteristic
432#66899C2311yescharacteristic
433#66899C2311yescharacteristic
434#66899C2311yescharacteristic
435#66899C2311yescharacteristic
436#66899C2311yescharacteristic
437#66899C2311yescharacteristic
438#66899C2311yescharacteristic
439#66899C2311yescharacteristic
440#66899C2311yescharacteristic
441#66899C2311yescharacteristic
442#66899C2311yescharacteristic
443#66899C2311yescharacteristic
444#66899C2311yescharacteristic
445#66899C2311yescharacteristic
446#66899C2311yescharacteristic
447#66899C2311yescharacteristic
448#66899C2311yescharacteristic
449#66899C2311yescharacteristic
450#66896C2311yescharacteristic
451#66896C2311yescharacteristic
452#66896C2311yescharacteristic
453#66896C2311yescharacteristic
454C22⋊(C11⋊C8)C2311yescharacteristic
455C22⋊(C11⋊C8)C2311yescharacteristic
456C22⋊(C11⋊C8)C2311yescharacteristic
457C22⋊(C11⋊C8)C2311yescharacteristic
458C22⋊(C11⋊C8)C2311yescharacteristic
459C22⋊(C11⋊C8)C2311yescharacteristic
460C22⋊(C11⋊C8)C2311yescharacteristic
461C22⋊(C11⋊C8)C2311yescharacteristic
462C22⋊(C11⋊C8)C2311yescharacteristic
463C22⋊(C11⋊C8)C2311yescharacteristic
464C22⋊(C11⋊C8)C2311yescharacteristic
465C22⋊(C11⋊C8)C2311yescharacteristic
466#66874C2311yescharacteristic
467#66874C2311yescharacteristic
468#66874C2311yescharacteristic
469#66874C2311yescharacteristic
470#66874C2311yescharacteristic
471#66874C2311yescharacteristic
472#66873C2311yescharacteristic
473#66873C2311yescharacteristic
474#66872C2311yescharacteristic
475#66872C2311yescharacteristic
476#66872C2311yescharacteristic
477#66872C2311yescharacteristic
478#66871C2311yescharacteristic
479#66871C2311yescharacteristic
480#66871C2311yescharacteristic
481#66871C2311yescharacteristic
482C4⋊(C11⋊C8)C2311yescharacteristic
483C4⋊(C11⋊C8)C2311yescharacteristic
484C4⋊(C11⋊C8)C2311yescharacteristic
485C4⋊(C11⋊C8)C2311yescharacteristic
486#66867C2311yescharacteristic
487#66867C2311yescharacteristic
488C4×C11⋊C8C2311yescharacteristic
489C4×C11⋊C8C2311yescharacteristic
490#61612—111nomaximal, Sylow
491C24×C11C2×D411yescharacteristic
492C11×#41—22no—
493C11×#41—22no—
494C11×#41—41no—
495C11×#41—41no—
496C11×#41—41no—
497C11×#41—41no—
498C11×#41—41no—
499C11×#41—41no—
500C11×#41—44no—
501C11×#41—44no—
502C11×#41—44no—
503C2×Q8×C11—22no—
504C2×Q8×C11—22no—
505C2×Q8×C11—21no—
506C2×Q8×C11—21no—
507C2×Q8×C11—21no—
508C2×Q8×C11—21no—
509C2×Q8×C11—21no—
510C2×Q8×C11—21no—
511C2×Q8×C11—21no—
512C2×Q8×C11—21no—
513C2×Q8×C11—22no—
514C2×Q8×C11—22no—
515C2×Q8×C11—22no—
516C2×Q8×C11—22no—
517C2×Q8×C11—22no—
518C2×Q8×C11—22no—
519C2×Q8×C11—41no—
520C2×Q8×C11—41no—
521C2×Q8×C11—41no—
522C2×Q8×C11—41no—
523C2×Q8×C11—41no—
524C2×Q8×C11—41no—
525C2×Q8×C11—41no—
526C2×Q8×C11—41no—
527C2×Q8×C11—44no—
528C2×Q8×C11—44no—
529C2×Q8×C11—44no—
530C2×Q8×C11—44no—
531C2×Q8×C11C2×D411yescharacteristic
532C2×Q8×C11C2411yescharacteristic
533C2×Q8×C11C2411yescharacteristic
534C2×Q8×C11C2411yescharacteristic
535C2×Q8×C11C2411yescharacteristic
536C2×Q8×C11C2411yescharacteristic
537C2×D4×C11—21no—
538C2×D4×C11—21no—
539C2×D4×C11—21no—
540C2×D4×C11—21no—
541C2×D4×C11—21no—
542C2×D4×C11C2×D411yescharacteristic
543C2×D4×C11C2×D411yescharacteristic
544C2×D4×C11C2×D411yescharacteristic
545C2×D4×C11C2×D411yescharacteristic
546C2×D4×C11C2×D411yescharacteristic
547C2×D4×C11C2×D411yescharacteristic
548C2×D4×C11C2×D411yescharacteristic
549C2×D4×C11C2411yescharacteristic
550C22×C4×C11—21no—
551C22×C4×C11—21no—
552C22×C4×C11—21no—
553C22×C4×C11—21no—
554C22×C4×C11—21no—
555C22×C4×C11—21no—
556C22×C4×C11—21no—
557C22×C4×C11—21no—
558C22×C4×C11—21no—
559C22×C4×C11—21no—
560C22×C4×C11—21no—
561C22×C4×C11—41no—
562C22×C4×C11—41no—
563C22×C4×C11—44no—
564C22×C4×C11C2×D411yescharacteristic
565C22×C4×C11C2×D411yescharacteristic
566C22×C4×C11C2×D411yescharacteristic
567C22×C4×C11C2411yescharacteristic
568C22×C4×C11C2411yescharacteristic
569C22×C4×C11C2411yescharacteristic
570C22×C4×C11C2411yescharacteristic
571C22×C4×C11C2411yescharacteristic
572C2×C22⋊D11—21no—
573C2×C22⋊D11—21no—
574C2×C22⋊D11—21no—
575C2×C22⋊D11—21no—
576C2×C22⋊D11—21no—
577C22×Dic11—21no—
578C22×Dic11—21no—
579C22×Dic11—21no—
580C22×Dic11—21no—
581#4339—41no—
582#4339—41no—
583#4339—41no—
584#4339—41no—
585C2×D44C2411yescharacteristic
586C2×C4×D11—21no—
587C2×C4×D11—21no—
588C2×C4×D11—21no—
589C2×Dic22—21no—
590C2×Dic22—21no—
591C2×Dic22—21no—
592C2×Dic22—41no—
593C2×Dic22—41no—
594C2×Dic22—41no—
595C2×Dic22—41no—
596C2×Dic22C2411yescharacteristic
597C2×Dic22C2411yescharacteristic
598C2×Dic22C2411yescharacteristic
599C11×C4⋊C4—21no—
600C11×C4⋊C4—21no—
601C11×C4⋊C4—21no—
602C11×C4⋊C4—21no—
603C11×C4⋊C4—21no—
604C11×C4⋊C4—21no—
605C11×C4⋊C4—21no—
606C11×C4⋊C4—21no—
607C11×C4⋊C4—21no—
608C11×C4⋊C4—21no—
609C11×C4⋊C4—21no—
610C11×C4⋊C4—21no—
611C11×C4⋊C4—21no—
612C11×C4⋊C4—21no—
613C11×C4⋊C4C2×D411yescharacteristic
614C11×C4⋊C4C2×D411yescharacteristic
615C11×C4⋊C4C2×D411yescharacteristic
616C11×C4⋊C4C2×D411yescharacteristic
617C11×C4⋊C4C2×D411yescharacteristic
618C11×C4⋊C4C2×D411yescharacteristic
619C11×C4⋊C4C2411yescharacteristic
620C11×C4⋊C4C2411yescharacteristic
621C11×C22⋊C4—21no—
622C11×C22⋊C4—21no—
623C11×C22⋊C4—21no—
624C11×C22⋊C4—21no—
625C11×C22⋊C4—21no—
626C11×C22⋊C4—21no—
627C11×C22⋊C4—21no—
628C11×C22⋊C4—21no—
629C11×C22⋊C4—21no—
630C11×C22⋊C4—21no—
631C11×C22⋊C4—21no—
632C11×C22⋊C4—21no—
633C11×C22⋊C4—21no—
634C11×C22⋊C4C2×D411yescharacteristic
635C11×C22⋊C4C2×D411yescharacteristic
636C11×C22⋊C4C2×D411yescharacteristic
637C11×C22⋊C4C2×D411yescharacteristic
638C11×C22⋊C4C2×D411yescharacteristic
639C11×C22⋊C4C2×D411yescharacteristic
640C11×C22⋊C4C2×D411yescharacteristic
641C11×C22⋊C4C2×D411yescharacteristic
642C11×C22⋊C4C2×D411yescharacteristic
643C11×C22⋊C4C2×D411yescharacteristic
644C42×C11—21no—
645C42×C11—21no—
646C42×C11—21no—
647C42×C11—21no—
648C42×C11—21no—
649C42×C11C2411yescharacteristic
650C42×C11C2411yescharacteristic
651C22⋊Dic11—21no—
652C22⋊Dic11—21no—
653C22⋊Dic11—21no—
654C22⋊Dic11—21no—
655C22⋊Dic11—21no—
656C22⋊Dic11—21no—
657C22⋊Dic11—21no—
658C22⋊Dic11—21no—
659C22⋊Dic11—21no—
660C22⋊Dic11—21no—
661C22⋊Dic11—21no—
662#4326—22no—
663#4326—22no—
664#4326—22no—
665#4326—22no—
666#4326—22no—
667#4326—22no—
668#4326—41no—
669#4326—41no—
670#4326—41no—
671#4326—41no—
672#4326—41no—
673#4326—41no—
674#4326—41no—
675#4326—41no—
676#4326—41no—
677#4325—22no—
678#4325—22no—
679#4325—41no—
680#4325—41no—
681#4325—41no—
682#4324—41no—
683#4324—41no—
684#4324—41no—
685#4323—41no—
686(C2×D11)⋊C4—21no—
687(C2×D11)⋊C4—21no—
688(C2×D11)⋊C4—21no—
689(C2×D11)⋊C4—21no—
690(C2×D11)⋊C4—21no—
691(C2×D11)⋊C4—21no—
692C4⋊Dic11—21no—
693C4⋊Dic11—21no—
694C4⋊Dic11—21no—
695C4⋊Dic11—21no—
696C4⋊Dic11—21no—
697C4⋊Dic11C2411yescharacteristic
698C4⋊Dic11C2411yescharacteristic
699C4⋊Dic11C2411yescharacteristic
700C4⋊Dic11C2411yescharacteristic
701Dic11⋊C4—21no—
702Dic11⋊C4—21no—
703Dic11⋊C4—21no—
704Dic11⋊C4—21no—
705Dic11⋊C4—21no—
706Dic11⋊C4—21no—
707Dic11⋊C4—21no—
708Dic11⋊C4—21no—
709Dic11⋊C4—21no—
710Dic11⋊C4—21no—
711Dic11⋊C4—21no—
712Dic11⋊C4—21no—
713Dic11⋊C4—21no—
714Dic11⋊C4—21no—
715C4×Dic11—21no—
716C4×Dic11—21no—
717C4×Dic11—21no—
718C4×Dic11—21no—
719C4×Dic11—21no—
720#4318—41no—
721#4318—41no—
722#4318—41no—
723#4318—41no—
724C2×C11⋊C8—41no—
725C2×C11⋊C8—41no—
726C2×C11⋊C8—41no—
727C2×C11⋊C8—41no—
728C2×C11⋊C8C2411yescharacteristic
729C2×C11⋊C8C2411yescharacteristic
730C2×C11⋊C8C2411yescharacteristic
731C2×C11⋊C8C2411yescharacteristic
732C2×C11⋊C8C2411yescharacteristic
733C2×C11⋊C8C2411yescharacteristic
734C2×C11⋊C8C2411yescharacteristic
735C2×C11⋊C8C2411yescharacteristic
736#3541—111no—
737#3486D1111yescharacteristic, complemented
738#3328—111no—
739#3327—111no—
740#3320—111no—
741#3316—111no—
742#3313—111no—
743#3312—111no—
744#3301—111no—
745#3299—111no—
746D4×Q16—111no—
747#3285—111no—
748#3277—111no—
749#3276—111no—
750#3270—111no—
751#3270—111no—
752#3270—111no—
753#3269—111no—
754#3225—111no—
755#3223—111no—
756#3202—111no—
757#3201—111no—
758#3196—111no—
759#3191—111no—
760#3127—111no—
761#3121—111no—
762#3013—111no—
763#3011—111no—
764#3004—111no—
765C2×#451—111no—
766#2976—111no—
767C23×C11—22no—
768C23×C11—21no—
769C23×C11—41no—
770C23×C11—41no—
771C23×C11C22×D411yescharacteristic
772C23×C11C22×D411yescharacteristic
773C23×C11C22×D411yescharacteristic
774C23×C11C22×D411yescharacteristic
775C23×C11C22×D411yescharacteristic
776C22×D11—21no—
777Q8×C11—24no—
778Q8×C11—21no—
779Q8×C11—21no—
780Q8×C11—21no—
781Q8×C11—21no—
782Q8×C11—21no—
783Q8×C11—21no—
784Q8×C11—21no—
785Q8×C11—21no—
786Q8×C11—41no—
787Q8×C11—42no—
788Q8×C11—42no—
789Q8×C11—42no—
790Q8×C11—42no—
791Q8×C11—42no—
792Q8×C11—42no—
793Q8×C11—42no—
794Q8×C11H(5,𝔽2)12yes—
795Q8×C11H(5,𝔽2)12yes—
796D4×C11—22no—
797D4×C11—22no—
798D4×C11—21no—
799D4×C11—21no—
800D4×C11—41no—
801D4×C11—41no—
802D4×C11—41no—
803D4×C11—41no—
804D4×C11—41no—
805D4×C11—42no—
806D4×C11—42no—
807D4×C11—42no—
808D4×C11—42no—
809D4×C11—42no—
810C2×C4×C11—24no—
811C2×C4×C11—21no—
812C2×C4×C11—21no—
813C2×C4×C11—21no—
814C2×C4×C11—21no—
815C2×C4×C11—21no—
816C2×C4×C11—21no—
817C2×C4×C11—21no—
818C2×C4×C11—21no—
819C2×C4×C11—21no—
820C2×C4×C11—21no—
821C2×C4×C11—21no—
822C2×C4×C11—21no—
823C2×C4×C11—21no—
824C2×C4×C11—21no—
825C2×C4×C11—21no—
826C2×C4×C11—21no—
827C2×C4×C11—21no—
828C2×C4×C11—41no—
829C2×C4×C11—41no—
830C2×C4×C11—41no—
831C2×C4×C11—42no—
832C2×C4×C11—42no—
833C2×C4×C11—42no—
834C2×C4×C11—42no—
835C2×C4×C11—42no—
836C2×C4×C11—42no—
837C2×C4×C11—42no—
838C2×C4×C11—42no—
839C2×C4×C11—42no—
840C2×C4×C11—42no—
841C2×C4×C11C22×D411yescharacteristic
842C2×C4×C11C22×D411yescharacteristic
843C2×C4×C11C22×D411yescharacteristic
844C2×C4×C11C22×D411yescharacteristic
845C2×C4×C11C22×D411yescharacteristic
846C2×C4×C11C22×D411yescharacteristic
847C2×C4×C11C22×D411yescharacteristic
848C2×C4×C11C22×D411yescharacteristic
849C2×C4×C11C22×D411yescharacteristic
850C2×C4×C11C2511yescharacteristic
851C22⋊D11—42no—
852C22⋊D11—81no—
853C22⋊D11—81no—
854C22⋊D11—81no—
855C22⋊D11—81no—
856C2×Dic11—21no—
857C2×Dic11—21no—
858C2×Dic11—21no—
859C2×Dic11—21no—
860C2×Dic11—21no—
861C2×Dic11—21no—
862C2×Dic11—21no—
863C2×Dic11—81no—
864C2×Dic11—81no—
865C2×Dic11—81no—
866C2×Dic11—81no—
867D44—21no—
868D44—21no—
869C4×D11—81no—
870C4×D11—81no—
871C4×D11—81no—
872Dic22—21no—
873Dic22—21no—
874Dic22—21no—
875Dic22—21no—
876Dic22—21no—
877Dic22—21no—
878Dic22—81no—
879Dic22—81no—
880Dic22—81no—
881C11⋊C8—21no—
882C11⋊C8—21no—
883C11⋊C8—21no—
884C11⋊C8—21no—
885C11⋊C8—21no—
886C11⋊C8—21no—
887C11⋊C8—21no—
888C11⋊C8—21no—
889C2×2−1+4C2×D1111yescharacteristic
890C23×Q8C2×D1111yescharacteristic
891C2×#137—111no—
892C2×#137—111no—
893C2×#137—111no—
894C2×#137—111no—
895C2×#135—111no—
896C22×Q16—111no—
897C22×Q16—111no—
898C22×Q16—111no—
899#563—221no—
900#562—221no—
901#556—111no—
902#554—111no—
903#554—221no—
904#553—111no—
905#553—221no—
906#552—111no—
907D4×Q8—21no—
908D4×Q8—21no—
909D4×Q8—111no—
910D4×Q8C2×D1111yescharacteristic
911D4×Q8C2×D1111yescharacteristic
912D4×Q8C2×D1111yescharacteristic
913D4×Q8C2×D1111yescharacteristic
914#548—21no—
915#548—21no—
916#548—111no—
917#548—111no—
918#548C2×D1111yescharacteristic
919#548C2×D1111yescharacteristic
920#548C2×D1111yescharacteristic
921#548C2×D1111yescharacteristic
922#547—111no—
923#542—111no—
924#542—221no—
925#541—111no—
926#539—221no—
927#538—221no—
928#538—221no—
929#537—111no—
930#536—21no—
931#536—21no—
932#536—111no—
933#536C2×D1111yescharacteristic
934#536C2×D1111yescharacteristic
935#525—21no—
936#525—21no—
937#525—111no—
938#525C2×D1111yescharacteristic
939#525C2×D1111yescharacteristic
940C2×C22⋊Q8—111no—
941#519C2×D1111yescharacteristic
942#497—111no—
943#497—111no—
944#495—111no—
945#494—111no—
946#491—111no—
947#489—111no—
948#488—111no—
949#487—111no—
950#485—111no—
951#485—111no—
952#485—111no—
953#485—111no—
954#485—111no—
955#485—111no—
956#484—111no—
957#484—111no—
958#483—111no—
959#482—111no—
960#482—111no—
961#481—111no—
962#479—111no—
963#479—111no—
964#477—111no—
965#475—111no—
966#470—111no—
967#470—111no—
968#470—111no—
969#470—111no—
970#470—111no—
971#468—111no—
972#468—111no—
973#468—111no—
974#467—111no—
975#467—111no—
976#467—111no—
977#467—111no—
978#466—111no—
979#465—111no—
980#465—111no—
981#465—111no—
982#464—111no—
983#464—111no—
984#464—111no—
985#464—111no—
986#464—111no—
987#463—111no—
988#462—111no—
989#462—111no—
990#462—111no—
991#462—111no—
992#462—111no—
993#461—111no—
994#452—111no—
995#452—111no—
996#452—111no—
997#452—111no—
998#452—111no—
999#452—111no—
1000#452—111no—
1001#452—111no—
1002#452—111no—
1003#451—111no—
1004#451—111no—
1005#451—111no—
1006#451—111no—
1007#451—111no—
1008#451—111no—
1009#451—111no—
1010#451—111no—
1011#451—111no—
1012#451—111no—
1013#451—111no—
1014#451—111no—
1015#451—111no—
1016#451—111no—
1017#451—111no—
1018#451—111no—
1019#451—111no—
1020#451—111no—
1021#449—111no—
1022#449—111no—
1023#449—111no—
1024#448—111no—
1025#448—111no—
1026#448—111no—
1027#448—111no—
1028#448—111no—
1029#448—111no—
1030#441—111no—
1031#441—111no—
1032#441—111no—
1033#440—111no—
1034C4×Q16—111no—
1035C4×Q16—111no—
1036C4×Q16—111no—
1037C4×SD16—111no—
1038#436—111no—
1039#436—111no—
1040#435—111no—
1041#435—111no—
1042#435—111no—
1043#435—111no—
1044C8×D4—111no—
1045C8×D4—111no—
1046#433—111no—
1047#433—111no—
1048#419—111no—
1049#419—111no—
1050#419—111no—
1051#417—111no—
1052#416—111no—
1053C2×#103—111no—
1054C2×#103—111no—
1055C2×#103—111no—
1056#408—111no—
1057#408—111no—
1058#407—111no—
1059C2×C22⋊C8—111no—
1060C22×C11—21no—
1061C22×C11—21no—
1062C22×C11—21no—
1063C22×C11—21no—
1064C22×C11—21no—
1065C22×C11—21no—
1066C22×C11—21no—
1067C22×C11—21no—
1068C22×C11—21no—
1069C22×C11—21no—
1070C22×C11—21no—
1071C22×C11—21no—
1072C22×C11—21no—
1073C22×C11—21no—
1074C22×C11—44no—
1075C22×C11—41no—
1076C22×C11—41no—
1077C22×C11—41no—
1078C22×C11#57812yes—
1079C22×C11C23×D411yescharacteristic
1080C2×D11—41no—
1081C2×D11—41no—
1082C2×D11—41no—
1083C4×C11—21no—
1084C4×C11—21no—
1085C4×C11—22no—
1086C4×C11—22no—
1087C4×C11—21no—
1088C4×C11—21no—
1089C4×C11—21no—
1090C4×C11—21no—
1091C4×C11—21no—
1092C4×C11—21no—
1093C4×C11—21no—
1094C4×C11—41no—
1095C4×C11—41no—
1096C4×C11—41no—
1097C4×C11—41no—
1098C4×C11—41no—
1099C4×C11C2×H(5,𝔽2)11yescharacteristic
1100C4×C11C2×H(5,𝔽2)11yescharacteristic
1101Dic11—41no—
1102Dic11—41no—
1103Dic11—41no—
1104Dic11—41no—
1105Dic11—41no—
1106Dic11—41no—
1107Dic11—41no—
11082−1+4—42no—
11092−1+4—42no—
1110C2×#41—21no—
1111C2×#41—21no—
1112C2×#41—21no—
1113C2×#41—111no—
1114C2×#41—111no—
1115C2×#41C22×D1111yescharacteristic
1116C2×#41C22×D1111yescharacteristic
1117C2×#41C22×D1111yescharacteristic
1118C2×#41C22×D1111yescharacteristic
1119C22×Q8—21no—
1120C22×Q8—21no—
1121C22×Q8—21no—
1122C22×Q8—21no—
1123C22×Q8—42no—
1124C22×Q8—42no—
1125C22×Q8—111no—
1126C22×Q8—111no—
1127C22×Q8C22×D1111yescharacteristic
1128C22×Q8C22×D1111yescharacteristic
1129C22×Q8C22×D1111yescharacteristic
1130C22×Q8C22×D1111yescharacteristic
1131C22×Q8C22×D1111yescharacteristic
1132C22×Q8C22×D1111yescharacteristic
1133C22×Q8C22×D1111yescharacteristic
1134C22×Q8C22×D1111yescharacteristic
1135C23×C4—21no—
1136C23×C4C22×D1111yescharacteristic
1137#137—442no—
1138#137—442no—
1139#137—442no—
1140#137—442no—
1141#135—442no—
1142C2×Q16—111no—
1143C2×Q16—111no—
1144C2×Q16—111no—
1145C2×Q16—111no—
1146C2×Q16—111no—
1147C2×Q16—111no—
1148C2×Q16—111no—
1149C2×Q16—111no—
1150C2×Q16—111no—
1151C2×Q16—111no—
1152C2×Q16—111no—
1153C2×Q16—111no—
1154C2×Q16—111no—
1155C2×Q16—111no—
1156C2×Q16—111no—
1157C2×Q16—442no—
1158C2×Q16—442no—
1159C2×Q16—442no—
1160C2×SD16—111no—
1161C2×SD16—111no—
1162C2×SD16—111no—
1163C2×SD16—111no—
1164C2×SD16—111no—
1165C2×SD16—111no—
1166C2×SD16—111no—
1167C2×SD16—111no—
1168C2×D8—111no—
1169C2×M16—111no—
1170C2×M16—111no—
1171C2×M16—111no—
1172C2×M16—111no—
1173C22×C8—111no—
1174C22×C8—111no—
1175C22×C8—111no—
1176C22×C8—111no—
1177C4⋊Q8—21no—
1178C4⋊Q8—21no—
1179C4⋊Q8—21no—
1180C4⋊Q8—21no—
1181C4⋊Q8—21no—
1182C4⋊Q8—111no—
1183C4⋊Q8—111no—
1184C4⋊Q8—221no—
1185C4⋊Q8—221no—
1186C4⋊Q8C22×D1111yescharacteristic
1187C4⋊Q8C22×D1111yescharacteristic
1188#126—221no—
1189#126—221no—
1190#126—221no—
1191#126—221no—
1192#126—221no—
1193#126—221no—
1194#126—221no—
1195#125—111no—
1196#125—221no—
1197#125—221no—
1198#125—221no—
1199#125—221no—
1200#124—21no—
1201#124—21no—
1202#124—21no—
1203#124—21no—
1204#124—21no—
1205#124—111no—
1206#124—221no—
1207#124—221no—
1208#124—221no—
1209#124—221no—
1210#124—221no—
1211#124C22×D1111yescharacteristic
1212#124C22×D1111yescharacteristic
1213#123—21no—
1214#123—21no—
1215#123—21no—
1216#123—21no—
1217#123—21no—
1218#123—221no—
1219#123—221no—
1220#123—221no—
1221#123—221no—
1222#123—221no—
1223#123—221no—
1224#123—221no—
1225#123—221no—
1226#123C22⋊D1111yescharacteristic
1227#123C22⋊D1111yescharacteristic
1228C22⋊Q8—21no—
1229C22⋊Q8—21no—
1230C22⋊Q8—21no—
1231C22⋊Q8—21no—
1232C22⋊Q8—21no—
1233C22⋊Q8—21no—
1234C22⋊Q8—21no—
1235C22⋊Q8—21no—
1236C22⋊Q8—21no—
1237C22⋊Q8—21no—
1238C22⋊Q8—21no—
1239C22⋊Q8—21no—
1240C22⋊Q8—21no—
1241C22⋊Q8—21no—
1242C22⋊Q8—111no—
1243C22⋊Q8—111no—
1244C22⋊Q8—111no—
1245C22⋊Q8—111no—
1246C22⋊Q8—111no—
1247C22⋊Q8—111no—
1248C22⋊Q8—111no—
1249C22⋊Q8—111no—
1250C22⋊Q8—111no—
1251C22⋊Q8—221no—
1252C22⋊Q8—221no—
1253C22⋊Q8—221no—
1254C22⋊Q8—221no—
1255C22⋊Q8—221no—
1256C22⋊Q8—221no—
1257C22⋊Q8—221no—
1258C22⋊Q8—221no—
1259C22⋊Q8—221no—
1260C22⋊Q8—221no—
1261C22⋊Q8C22⋊D1111yescharacteristic
1262C22⋊Q8C22⋊D1111yescharacteristic
1263C22⋊Q8C22×D1111yescharacteristic
1264C22⋊Q8C22×D1111yescharacteristic
1265C22⋊Q8C22×D1111yescharacteristic
1266C22⋊Q8C22×D1111yescharacteristic
1267C22⋊Q8C22×D1111yescharacteristic
1268C22⋊Q8C22×D1111yescharacteristic
1269#121—21no—
1270#121—21no—
1271#121—21no—
1272#121—21no—
1273#121—111no—
1274#121—111no—
1275#121—111no—
1276#121—221no—
1277#121—221no—
1278#121—221no—
1279#121—221no—
1280#121—221no—
1281#121—221no—
1282#121—221no—
1283#121C22⋊D1111yescharacteristic
1284#121C22⋊D1111yescharacteristic
1285#121C22×D1111yescharacteristic
1286#121C22×D1111yescharacteristic
1287#120—21no—
1288#120—221no—
1289#120C22⋊D1111yescharacteristic
1290#120C22⋊D1111yescharacteristic
1291C4×Q8—21no—
1292C4×Q8—21no—
1293C4×Q8—111no—
1294C4×Q8—111no—
1295C4×Q8—111no—
1296C4×Q8—221no—
1297C4×Q8C22×D1111yescharacteristic
1298C4×Q8C22×D1111yescharacteristic
1299C4×Q8C22×D1111yescharacteristic
1300C4×Q8C22×D1111yescharacteristic
1301C4×D4—21no—
1302C4×D4—21no—
1303C4×D4—21no—
1304C4×D4—21no—
1305C4×D4—21no—
1306C4×D4—21no—
1307C4×D4—21no—
1308C4×D4—21no—
1309C4×D4—21no—
1310C4×D4—21no—
1311C4×D4—111no—
1312C4×D4—221no—
1313C4×D4—221no—
1314C4×D4—221no—
1315C4×D4—221no—
1316C4×D4—221no—
1317C4×D4—221no—
1318C4×D4—221no—
1319C4×D4C22×D1111yescharacteristic
1320C4×D4C22×D1111yescharacteristic
1321C4×D4C22×D1111yescharacteristic
1322C4×D4C22×D1111yescharacteristic
1323#117—21no—
1324#117—21no—
1325#117—111no—
1326#117—111no—
1327#117—221no—
1328#117C22×D1111yescharacteristic
1329#117C22×D1111yescharacteristic
1330C2×C4⋊C4—111no—
1331C2×C4⋊C4—111no—
1332C2×C4⋊C4—221no—
1333C2×C4⋊C4—221no—
1334C2×C22⋊C4—221no—
1335#107—111no—
1336#107—111no—
1337#107—111no—
1338#107—111no—
1339#106—111no—
1340#106—111no—
1341#106—111no—
1342#106—111no—
1343C4⋊C8—111no—
1344C4⋊C8—111no—
1345C4⋊C8—111no—
1346C4⋊C8—111no—
1347#103—111no—
1348#103—111no—
1349#103—111no—
1350#103—111no—
1351#103—111no—
1352#103—111no—
1353#103—111no—
1354#103—111no—
1355#103—111no—
1356#103—111no—
1357#103—111no—
1358#103—111no—
1359#103—111no—
1360#103—111no—
1361#103—111no—
1362#103—111no—
1363#103—111no—
1364#103—111no—
1365#103—111no—
1366#103—111no—
1367#103—111no—
1368#103—111no—
1369#103—111no—
1370#103—111no—
1371#103—111no—
1372#103—111no—
1373#102—111no—
1374#102—111no—
1375#102—111no—
1376#102—111no—
1377#102—111no—
1378#102—111no—
1379C22⋊C8—111no—
1380C22⋊C8—111no—
1381C22⋊C8—111no—
1382C22⋊C8—111no—
1383C22⋊C8—111no—
1384C22⋊C8—111no—
1385C22⋊C8—111no—
1386C22⋊C8—111no—
1387C22⋊C8—111no—
1388C22⋊C8—111no—
1389C22⋊C8—111no—
1390C22⋊C8—111no—
1391#97—111no—
1392#97—111no—
1393C4×C8—111no—
1394C4×C8—111no—
1395C2×C11—22no—
1396C2×C11—41no—
1397C2×C11—41no—
1398C2×C11—41no—
1399C2×C11—41no—
1400C2×C11—81no—
1401C2×C11#348411yescharacteristic
1402C2×C11C2×#57811yescharacteristic
1403C2×C11#358611yescharacteristic
1404D11—81no—
1405C24C2×C22⋊D1111yescharacteristic
1406#41—22no—
1407#41—22no—
1408#41—41no—
1409#41—41no—
1410#41—41no—
1411#41—41no—
1412#41—41no—
1413#41—41no—
1414#41—44no—
1415#41—44no—
1416#41—44no—
1417#41—441no—
1418#41—441no—
1419#41—441no—
1420#41—441no—
1421C2×Q8—22no—
1422C2×Q8—22no—
1423C2×Q8—21no—
1424C2×Q8—21no—
1425C2×Q8—21no—
1426C2×Q8—21no—
1427C2×Q8—21no—
1428C2×Q8—21no—
1429C2×Q8—21no—
1430C2×Q8—21no—
1431C2×Q8—22no—
1432C2×Q8—22no—
1433C2×Q8—22no—
1434C2×Q8—22no—
1435C2×Q8—22no—
1436C2×Q8—22no—
1437C2×Q8—41no—
1438C2×Q8—41no—
1439C2×Q8—41no—
1440C2×Q8—41no—
1441C2×Q8—41no—
1442C2×Q8—41no—
1443C2×Q8—41no—
1444C2×Q8—41no—
1445C2×Q8—44no—
1446C2×Q8—44no—
1447C2×Q8—44no—
1448C2×Q8—44no—
1449C2×Q8—111no—
1450C2×Q8—111no—
1451C2×Q8—111no—
1452C2×Q8—221no—
1453C2×Q8—221no—
1454C2×Q8—221no—
1455C2×Q8—441no—
1456C2×Q8—441no—
1457C2×Q8—441no—
1458C2×Q8—441no—
1459C2×Q8C2×C22⋊D1111yescharacteristic
1460C2×Q8C23×D1111yescharacteristic
1461C2×Q8C23×D1111yescharacteristic
1462C2×Q8C23×D1111yescharacteristic
1463C2×Q8C23×D1111yescharacteristic
1464C2×Q8C23×D1111yescharacteristic
1465C2×D4—21no—
1466C2×D4—21no—
1467C2×D4—21no—
1468C2×D4—21no—
1469C2×D4—21no—
1470C2×D4—111no—
1471C2×D4—221no—
1472C2×D4—221no—
1473C2×D4—221no—
1474C2×D4—221no—
1475C2×D4—221no—
1476C2×D4C2×C22⋊D1111yescharacteristic
1477C2×D4C2×C22⋊D1111yescharacteristic
1478C2×D4C2×C22⋊D1111yescharacteristic
1479C2×D4C2×C22⋊D1111yescharacteristic
1480C2×D4C2×C22⋊D1111yescharacteristic
1481C2×D4C2×C22⋊D1111yescharacteristic
1482C2×D4C2×C22⋊D1111yescharacteristic
1483C2×D4C23×D1111yescharacteristic
1484C22×C4—21no—
1485C22×C4—21no—
1486C22×C4—21no—
1487C22×C4—21no—
1488C22×C4—21no—
1489C22×C4—21no—
1490C22×C4—21no—
1491C22×C4—21no—
1492C22×C4—21no—
1493C22×C4—21no—
1494C22×C4—21no—
1495C22×C4—41no—
1496C22×C4—41no—
1497C22×C4—44no—
1498C22×C4—221no—
1499C22×C4—221no—
1500C22×C4—221no—
1501C22×C4—221no—
1502C22×C4—221no—
1503C22×C4—221no—
1504C22×C4—221no—
1505C22×C4C2×C22⋊D1111yescharacteristic
1506C22×C4C2×C22⋊D1111yescharacteristic
1507C22×C4C2×C22⋊D1111yescharacteristic
1508C22×C4C23×D1111yescharacteristic
1509C22×C4C23×D1111yescharacteristic
1510C22×C4C23×D1111yescharacteristic
1511C22×C4C23×D1111yescharacteristic
1512C22×C4C23×D1111yescharacteristic
1513Q16—222no—
1514Q16—222no—
1515Q16—222no—
1516Q16—222no—
1517Q16—222no—
1518Q16—222no—
1519Q16—441no—
1520Q16—441no—
1521Q16—441no—
1522Q16—441no—
1523Q16—441no—
1524Q16—441no—
1525Q16—441no—
1526Q16—441no—
1527Q16—441no—
1528SD16—222no—
1529SD16—222no—
1530SD16—441no—
1531SD16—441no—
1532SD16—441no—
1533SD16—441no—
1534SD16—441no—
1535SD16—441no—
1536D8—441no—
1537M16—441no—
1538M16—441no—
1539M16—441no—
1540M16—441no—
1541C2×C8—111no—
1542C2×C8—111no—
1543C2×C8—111no—
1544C2×C8—111no—
1545C2×C8—111no—
1546C2×C8—111no—
1547C2×C8—111no—
1548C2×C8—111no—
1549C2×C8—441no—
1550C2×C8—441no—
1551C2×C8—441no—
1552C2×C8—441no—
1553C4⋊C4—21no—
1554C4⋊C4—21no—
1555C4⋊C4—21no—
1556C4⋊C4—21no—
1557C4⋊C4—21no—
1558C4⋊C4—21no—
1559C4⋊C4—21no—
1560C4⋊C4—21no—
1561C4⋊C4—21no—
1562C4⋊C4—21no—
1563C4⋊C4—21no—
1564C4⋊C4—21no—
1565C4⋊C4—21no—
1566C4⋊C4—21no—
1567C4⋊C4—111no—
1568C4⋊C4—111no—
1569C4⋊C4—111no—
1570C4⋊C4—111no—
1571C4⋊C4—221no—
1572C4⋊C4—221no—
1573C4⋊C4—221no—
1574C4⋊C4—221no—
1575C4⋊C4—221no—
1576C4⋊C4—221no—
1577C4⋊C4—221no—
1578C4⋊C4—221no—
1579C4⋊C4—221no—
1580C4⋊C4—221no—
1581C4⋊C4—221no—
1582C4⋊C4—221no—
1583C4⋊C4—221no—
1584C4⋊C4—221no—
1585C4⋊C4—221no—
1586C4⋊C4—221no—
1587C4⋊C4—221no—
1588C4⋊C4—221no—
1589C4⋊C4—221no—
1590C4⋊C4C2×C22⋊D1111yescharacteristic
1591C4⋊C4C2×C22⋊D1111yescharacteristic
1592C4⋊C4C2×C22⋊D1111yescharacteristic
1593C4⋊C4C2×C22⋊D1111yescharacteristic
1594C4⋊C4C2×C22⋊D1111yescharacteristic
1595C4⋊C4C2×C22⋊D1111yescharacteristic
1596C4⋊C4C23×D1111yescharacteristic
1597C4⋊C4C23×D1111yescharacteristic
1598C22⋊C4—21no—
1599C22⋊C4—21no—
1600C22⋊C4—21no—
1601C22⋊C4—21no—
1602C22⋊C4—21no—
1603C22⋊C4—21no—
1604C22⋊C4—21no—
1605C22⋊C4—21no—
1606C22⋊C4—21no—
1607C22⋊C4—21no—
1608C22⋊C4—21no—
1609C22⋊C4—21no—
1610C22⋊C4—21no—
1611C22⋊C4—221no—
1612C22⋊C4—221no—
1613C22⋊C4—221no—
1614C22⋊C4—221no—
1615C22⋊C4—221no—
1616C22⋊C4—221no—
1617C22⋊C4—221no—
1618C22⋊C4—221no—
1619C22⋊C4—221no—
1620C22⋊C4—221no—
1621C22⋊C4—221no—
1622C22⋊C4—221no—
1623C22⋊C4—221no—
1624C22⋊C4—221no—
1625C22⋊C4—221no—
1626C22⋊C4—221no—
1627C22⋊C4—221no—
1628C22⋊C4C2×C22⋊D1111yescharacteristic
1629C22⋊C4C2×C22⋊D1111yescharacteristic
1630C22⋊C4C2×C22⋊D1111yescharacteristic
1631C22⋊C4C2×C22⋊D1111yescharacteristic
1632C22⋊C4C2×C22⋊D1111yescharacteristic
1633C22⋊C4C2×C22⋊D1111yescharacteristic
1634C22⋊C4C2×C22⋊D1111yescharacteristic
1635C22⋊C4C2×C22⋊D1111yescharacteristic
1636C22⋊C4C2×C22⋊D1111yescharacteristic
1637C22⋊C4C2×C22⋊D1111yescharacteristic
1638C42—21no—
1639C42—21no—
1640C42—21no—
1641C42—21no—
1642C42—21no—
1643C42—221no—
1644C42—221no—
1645C42—221no—
1646C42—221no—
1647C42—221no—
1648C42C23×D1111yescharacteristic
1649C42C23×D1111yescharacteristic
1650C11#6161211yescharacteristic, complemented, Sylow
1651C23—22no—
1652C23—21no—
1653C23—41no—
1654C23—41no—
1655C23—221no—
1656C23C22×C22⋊D1111yescharacteristic
1657C23C22×C22⋊D1111yescharacteristic
1658C23C22×C22⋊D1111yescharacteristic
1659C23C22×C22⋊D1111yescharacteristic
1660C23C22×C22⋊D1111yescharacteristic
1661Q8—24no—
1662Q8—21no—
1663Q8—21no—
1664Q8—21no—
1665Q8—21no—
1666Q8—21no—
1667Q8—21no—
1668Q8—21no—
1669Q8—21no—
1670Q8—41no—
1671Q8—42no—
1672Q8—42no—
1673Q8—42no—
1674Q8—42no—
1675Q8—42no—
1676Q8—42no—
1677Q8—42no—
1678Q8—221no—
1679Q8—221no—
1680Q8—221no—
1681Q8—221no—
1682Q8—221no—
1683Q8—221no—
1684Q8—881no—
1685Q8—881no—
1686Q8—881no—
1687Q8#6703712yes—
1688Q8#6703712yes—
1689D4—22no—
1690D4—22no—
1691D4—21no—
1692D4—21no—
1693D4—41no—
1694D4—41no—
1695D4—41no—
1696D4—41no—
1697D4—41no—
1698D4—42no—
1699D4—42no—
1700D4—42no—
1701D4—42no—
1702D4—42no—
1703D4—221no—
1704D4—221no—
1705D4—442no—
1706D4—881no—
1707D4—881no—
1708D4—881no—
1709D4—881no—
1710C2×C4—24no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—41no—
1729C2×C4—41no—
1730C2×C4—41no—
1731C2×C4—42no—
1732C2×C4—42no—
1733C2×C4—42no—
1734C2×C4—42no—
1735C2×C4—42no—
1736C2×C4—42no—
1737C2×C4—42no—
1738C2×C4—42no—
1739C2×C4—42no—
1740C2×C4—42no—
1741C2×C4—221no—
1742C2×C4—221no—
1743C2×C4—221no—
1744C2×C4—221no—
1745C2×C4—221no—
1746C2×C4—221no—
1747C2×C4—221no—
1748C2×C4—881no—
1749C2×C4—881no—
1750C2×C4—881no—
1751C2×C4—881no—
1752C2×C4—881no—
1753C2×C4—881no—
1754C2×C4—881no—
1755C2×C4C22×C22⋊D1111yescharacteristic
1756C2×C4C22×C22⋊D1111yescharacteristic
1757C2×C4C22×C22⋊D1111yescharacteristic
1758C2×C4C22×C22⋊D1111yescharacteristic
1759C2×C4C22×C22⋊D1111yescharacteristic
1760C2×C4C22×C22⋊D1111yescharacteristic
1761C2×C4C22×C22⋊D1111yescharacteristic
1762C2×C4C22×C22⋊D1111yescharacteristic
1763C2×C4C22×C22⋊D1111yescharacteristic
1764C2×C4C24×D1111yescharacteristic
1765C8—221no—
1766C8—221no—
1767C8—221no—
1768C8—221no—
1769C8—221no—
1770C8—221no—
1771C8—221no—
1772C8—221no—
1773C22—21no—
1774C22—21no—
1775C22—21no—
1776C22—21no—
1777C22—21no—
1778C22—21no—
1779C22—21no—
1780C22—21no—
1781C22—21no—
1782C22—21no—
1783C22—21no—
1784C22—21no—
1785C22—21no—
1786C22—21no—
1787C22—44no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—441no—
1792C22—441no—
1793C22—441no—
1794C22#1062336912yes—
1795C22C23×C22⋊D1111yescharacteristic
1796C4—21no—
1797C4—21no—
1798C4—22no—
1799C4—22no—
1800C4—21no—
1801C4—21no—
1802C4—21no—
1803C4—21no—
1804C4—21no—
1805C4—21no—
1806C4—21no—
1807C4—41no—
1808C4—41no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—441no—
1813C4—441no—
1814C4—441no—
1815C4—441no—
1816C4—441no—
1817C4—441no—
1818C4—441no—
1819C4C2×#6703711yescharacteristic
1820C4C2×#6703711yescharacteristic
1821C2—22no—
1822C2—41no—
1823C2—41no—
1824C2—41no—
1825C2—41no—
1826C2—81no—
1827C2—881no—
1828C2#1308225111yescharacteristic
1829C2C2×#1062336911yescharacteristic
1830C2#1308340311yescharacteristic
subgroupG/H
centerC22C23×C22⋊D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3486C2
socleC22×C11C23×D4
hypercenter#3486D11
hypocenterC11#61612
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ #525 ◁ #3486

Complements

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

NH ≅ G/Ntype
1. #13082909C2semidirect
2. #13080899C2semidirect
3. #13080884C2semidirect
4. #13080787C2semidirect
5. #13080727C2semidirect
6. #13080682C2semidirect
7. #13080667C2semidirect
8. #13080518C2semidirect
9. #13080492C2semidirect
10. D4×#4326C2semidirect
11. #13080353C2semidirect
12. #13080269C2semidirect
13. #13080262C2semidirect
14. #13080187C2semidirect
15. #13080187C2semidirect
16. #13080182C2semidirect
17. #13080172C2semidirect
18. #13079725C2semidirect
19. #13079699C2semidirect
20. #13079507C2semidirect
21. #13079498C2semidirect
22. #13079442C2semidirect
23. #13079404C2semidirect
24. #13078916C2semidirect
25. #13078845C2semidirect
26. #13077931C2semidirect
27. #13077911C2semidirect
28. #13077850C2semidirect
29. C2×#10622841C2semidirect
30. #13077664C2semidirect
31. C11×#3486C2semidirect
57. C2×#67004C22semidirect
58. C2×#67003C22semidirect
61. C22×#4326C22semidirect
64. C2×#66995C22semidirect
88. #10622852C22semidirect
89. #10622852C22semidirect
90. #10622852C22semidirect
92. #10622851C22semidirect
95. #10622846C22semidirect
96. #10622845C22semidirect
109. #10622841C22semidirect
110. #10622841C22semidirect
111. #10622841C22semidirect
116. #10622840C22semidirect
119. #10622838C22semidirect
122. C2×#66899C22semidirect
125. #10622705C22semidirect
126. #10622703C22semidirect
127. #10622703C22semidirect
128. #10622703C22semidirect
129. #10622699C22semidirect
130. #10622696C22semidirect
131. #10622695C22semidirect
132. #10622694C22semidirect
133. #10622673C22semidirect
134. #10622672C22semidirect
135. #10622670C22semidirect
136. #10622669C22semidirect
137. #10622668C22semidirect
138. #10622667C22semidirect
139. #10622667C22semidirect
140. #10622667C22semidirect
143. #10622665C22semidirect
144. #10622665C22semidirect
145. #10622665C22semidirect
147. #10622664C22semidirect
148. #10622664C22semidirect
149. #10622664C22semidirect
151. #10622663C22semidirect
152. #10622663C22semidirect
153. #10622662C22semidirect
155. #10622661C22semidirect
157. #10622660C22semidirect
158. #10622660C22semidirect
160. #10622658C22semidirect
161. #10622658C22semidirect
163. #10622657C22semidirect
164. #10622656C22semidirect
173. #10622644C22semidirect
174. #10622644C22semidirect
175. #10622643C22semidirect
176. #10622643C22semidirect
177. #10622643C22semidirect
178. C4×#4326C22semidirect
179. C4×#4326C22semidirect
180. C4×#4326C22semidirect
181. #10622641C22semidirect
182. #10622641C22semidirect
183. #10622639C22semidirect
184. C4×#4325C22semidirect
185. #10622635C22semidirect
186. #10622635C22semidirect
187. #10622634C22semidirect
188. #10622633C22semidirect
737. #3486D11semidirect
1650. C11#61612semidirect

Maximal subgroups

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

subgroupindex
#130829092
#130808992
#130808842
#130807872
#130807272
#130806822
#130806672
#130805182
#130804922
D4×#43262
#130803532
#130802692
#130802622
#130801872
#130801822
#130801722
#130797252
#130796992
#130795072
#130794982
#130794422
#130794042
#130789162
#130788452
#130779312
#130779112
#130778502
C2×#106228412
#130776642
C11×#34862
#6161211