Finite Group Databasebeta

← #15647444

Subgroups — #15647444

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#13083089C211yesmaximal, characteristic, complemented
2#13081682C211yesmaximal, characteristic, complemented
3#13081647C211yesmaximal, characteristic, complemented
4#13081397C211yesmaximal, characteristic, complemented
5#13081369C211yesmaximal, characteristic, complemented
6#13080736C211yesmaximal, characteristic, complemented
7#13080676C211yesmaximal, characteristic, complemented
8#13080661C211yesmaximal, characteristic, complemented
9#13080586C211yesmaximal, characteristic, complemented
10#13080527C211yesmaximal, characteristic, complemented
11#13080512C211yesmaximal, characteristic, complemented
12#13080334C211yesmaximal, characteristic, complemented
13#13080319C211yesmaximal, characteristic, complemented
14#13080167C211yesmaximal, characteristic, complemented
15#13080152C211yesmaximal, characteristic, complemented
16#13080137C211yesmaximal, characteristic, complemented
17#13080122C211yesmaximal, characteristic, complemented
18#13080072C211yesmaximal, characteristic, complemented
19#13080036C211yesmaximal, characteristic, complemented
20#13079953C211yesmaximal, characteristic, complemented
21#13079719C211yesmaximal, characteristic, complemented
22#13079693C211yesmaximal, characteristic, complemented
23#13079649C211yesmaximal, characteristic, complemented
24#13078893C211yesmaximal, characteristic, complemented
25#13078800C211yesmaximal, characteristic, complemented
26#13078778C211yesmaximal, characteristic, complemented
27#13078166C211yesmaximal, characteristic, complemented
28#13078128C211yesmaximal, characteristic, complemented
29#13078071C211yesmaximal, characteristic, complemented
30#13077755C211yesmaximal, characteristic, complemented
31C11×#3521C211yesmaximal, characteristic, complemented
32C11×#556C2211yescharacteristic
33C11×#556C2211yescharacteristic
34C11×#554C2211yescharacteristic
35C11×#553—21no—
36C11×#553C2211yescharacteristic
37C11×#552—21no—
38C11×#552C2211yescharacteristic
39C11×#551—21no—
40C11×#551—21no—
41C11×#547C2211yescharacteristic
42C11×#546C2211yescharacteristic
43C11×#546C2211yescharacteristic
44C11×#542C2211yescharacteristic
45C11×#541C2211yescharacteristic
46C11×#539—21no—
47C11×#538—21no—
48C11×#529—21no—
49C11×#529C2211yescharacteristic
50C11×#529C2211yescharacteristic
51C2×C11×#126—21no—
52C11×#520C2211yescharacteristic
53C11×#518C2211yescharacteristic
54C4×C11×#41C2211yescharacteristic
55C2×#67004C2211yescharacteristic
56C2×#67003C2211yescharacteristic
57C2×#67003C2211yescharacteristic
58C2×#67003C2211yescharacteristic
59C22×#4324C2211yescharacteristic
60C2×#66985C2211yescharacteristic
61#10623238—21no—
62#10623238—21no—
63#10623221—21no—
64#10623212—21no—
65#10623198—21no—
66#10623198—21no—
67#10623174—21no—
68#10623150—21no—
69#10623116C2211yescharacteristic, complemented
70#10623101C2211yescharacteristic, complemented
71#10623084C2211yescharacteristic
72#10623083C2211yescharacteristic
73#10623083C2211yescharacteristic, complemented
74#10623082C2211yescharacteristic
75#10623082C2211yescharacteristic, complemented
76D4×Dic22C2211yescharacteristic
77#10623065C2211yescharacteristic
78#10623065C2211yescharacteristic, complemented
79#10623057C2211yescharacteristic
80#10623057C2211yescharacteristic, complemented
81#10623008C2211yescharacteristic, complemented
82#10623001C2211yescharacteristic, complemented
83#10622852C2211yescharacteristic
84#10622852C2211yescharacteristic
85#10622852C2211yescharacteristic
86#10622851C2211yescharacteristic
87#10622831C2211yescharacteristic
88#10622830C2211yescharacteristic
89#10622706C2211yescharacteristic, complemented
90#10622705C2211yescharacteristic, complemented
91#10622704C2211yescharacteristic, complemented
92#10622703C2211yescharacteristic, complemented
93#10622702C2211yescharacteristic, complemented
94#10622700C2211yescharacteristic, complemented
95#10622699C2211yescharacteristic, complemented
96#10622696C2211yescharacteristic, complemented
97#10622682C2211yescharacteristic, complemented
98#10622682C2211yescharacteristic, complemented
99#10622681C2211yescharacteristic, complemented
100#10622680C2211yescharacteristic, complemented
101#10622679C2211yescharacteristic, complemented
102#10622676C2211yescharacteristic, complemented
103#10622676C2211yescharacteristic, complemented
104#10622676C2211yescharacteristic, complemented
105#10622673C2211yescharacteristic
106#10622673C2211yescharacteristic
107#10622672C2211yescharacteristic
108#10622671C2211yescharacteristic
109#10622670C2211yescharacteristic
110#10622667C2211yescharacteristic
111#10622667C2211yescharacteristic
112#10622667C2211yescharacteristic
113#10622665C2211yescharacteristic
114#10622664C2211yescharacteristic
115#10622664C2211yescharacteristic, complemented
116#10622664C2211yescharacteristic, complemented
117#10622664C2211yescharacteristic, complemented
118#10622663C2211yescharacteristic
119#10622663C2211yescharacteristic
120#10622663C2211yescharacteristic, complemented
121#10622662C2211yescharacteristic
122#10622662C2211yescharacteristic, complemented
123#10622661C2211yescharacteristic
124#10622660C2211yescharacteristic
125#10622660C2211yescharacteristic
126#10622660C2211yescharacteristic, complemented
127#10622660C2211yescharacteristic, complemented
128#10622660C2211yescharacteristic, complemented
129#10622655C2211yescharacteristic
130#10622654C2211yescharacteristic
131#10622654C2211yescharacteristic
132#10622653C2211yescharacteristic
133#10622651C2211yescharacteristic
134#10622650C2211yescharacteristic
135#10622650C2211yescharacteristic
136#10622650C2211yescharacteristic
137#10622644C2211yescharacteristic, complemented
138#10622644C2211yescharacteristic, complemented
139#10622644C2211yescharacteristic, complemented
140#10622644C2211yescharacteristic, complemented
141#10622643C2211yescharacteristic, complemented
142#10622643C2211yescharacteristic, complemented
143#10622643C2211yescharacteristic, complemented
144#10622641C2211yescharacteristic, complemented
145#10622641C2211yescharacteristic, complemented
146#10622641C2211yescharacteristic, complemented
147#10622641C2211yescharacteristic, complemented
148#10622641C2211yescharacteristic, complemented
149#10622640C2211yescharacteristic, complemented
150C4×#4325C2211yescharacteristic, complemented
151#10622637C2211yescharacteristic, complemented
152#10622637C2211yescharacteristic, complemented
153#10622634C2211yescharacteristic, complemented
154#10622633C2211yescharacteristic, complemented
155#10622632C2211yescharacteristic
156#10622632C2211yescharacteristic
157#10622632C2211yescharacteristic
158#10622632C2211yescharacteristic
159#10622632C2211yescharacteristic
160#10622632C2211yescharacteristic
161#10622631C2211yescharacteristic
162#10622631C2211yescharacteristic
163#10622631C2211yescharacteristic
164C4×#4324C2211yescharacteristic
165C4×#4324C2211yescharacteristic
166#10622629C2211yescharacteristic
167#10622629C2211yescharacteristic
168#10622629C2211yescharacteristic
169#10622629C2211yescharacteristic
170#10622629C2211yescharacteristic
171#10622629C2211yescharacteristic
172#10622629C2211yescharacteristic
173#10622628C2211yescharacteristic
174#10622627C2211yescharacteristic
175#10622627C2211yescharacteristic
176C4×#4323C2211yescharacteristic
177#10622624C2211yescharacteristic
178#10622624C2211yescharacteristic
179#10622624C2211yescharacteristic
180#10622624C2211yescharacteristic, complemented
181D4×C11⋊C8C2211yescharacteristic
182D4×C11⋊C8C2211yescharacteristic, complemented
183#10622621C2211yescharacteristic
184#10622620C2211yescharacteristic
185#10622617C2211yescharacteristic
186#10622616C2211yescharacteristic
187#10622615C2211yescharacteristic
188#10622615C2211yescharacteristic, complemented
189#10622615C2211yescharacteristic, complemented
190#10622613C2211yescharacteristic
191#10622613C2211yescharacteristic, complemented
192#10622612C2211yescharacteristic
193#10622612C2211yescharacteristic, complemented
194#10622609C2211yescharacteristic
195#10622609C2211yescharacteristic, complemented
196#10622609C2211yescharacteristic, complemented
197#10622584C2211yescharacteristic, complemented
198C2×#66874C2211yescharacteristic, complemented
199#10622581C2211yescharacteristic, complemented
200#10622579C2211yescharacteristic, complemented
201#10622539C2211yescharacteristic, complemented
202C2×C4⋊(C11⋊C8)C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C2×C11×#41C2311yescharacteristic
205C22×D4×C11C2311yescharacteristic
206C2×#4339C2311yescharacteristic
207C2×#4339C2311yescharacteristic
208C2×#4339C2311yescharacteristic
209C2×#4339C2311yescharacteristic
210C22×Dic22C2311yescharacteristic
211C22×Dic22C2311yescharacteristic
212C11×C4⋊Q8C2311yescharacteristic
213C11×C4⋊Q8C2311yescharacteristic
214C11×#126—21no—
215C11×#126—21no—
216C11×#126—21no—
217C11×#126—21no—
218C11×#126—21no—
219C11×#126—21no—
220C11×#126—21no—
221C11×#126—21no—
222C11×#126—21no—
223C11×#126—21no—
224C11×#126D411yescharacteristic
225C11×#126D411yescharacteristic
226C11×#125—21no—
227C11×#125—21no—
228C11×#125—21no—
229C11×#125D411yescharacteristic
230C11×#125C2311yescharacteristic
231C11×#125C2311yescharacteristic
232C11×#124—21no—
233C11×#124—21no—
234C11×#124D411yescharacteristic
235C11×#124C2311yescharacteristic
236C11×#124C2311yescharacteristic
237C11×#123—21no—
238C11×#123—21no—
239C11×#123—21no—
240C11×#123—21no—
241C11×#123—21no—
242C11×#123—21no—
243C11×#123—21no—
244C11×#123—21no—
245C11×#123D411yescharacteristic
246C11×#123D411yescharacteristic
247C11×C22⋊Q8—21no—
248C11×C22⋊Q8—21no—
249C11×C22⋊Q8—21no—
250C11×C22⋊Q8—21no—
251C11×C22⋊Q8—21no—
252C11×C22⋊Q8D411yescharacteristic
253C11×C22⋊Q8C2311yescharacteristic
254C11×C22⋊Q8C2311yescharacteristic
255C11×C22⋊Q8C2311yescharacteristic
256C11×C22⋊Q8C2311yescharacteristic
257C11×#121—21no—
258C11×#121—21no—
259C11×#121—21no—
260C11×#121—21no—
261C11×#121D411yescharacteristic
262C11×#121C2311yescharacteristic
263C11×#121C2311yescharacteristic
264C11×#120—21no—
265C11×#120—21no—
266C4×Q8×C11—21no—
267C4×Q8×C11C2311yescharacteristic
268C4×Q8×C11C2311yescharacteristic
269C4×Q8×C11C2311yescharacteristic
270C4×Q8×C11C2311yescharacteristic
271C4×Q8×C11C2311yescharacteristic
272C4×D4×C11—21no—
273C4×D4×C11—21no—
274C4×D4×C11—21no—
275C4×D4×C11—21no—
276C4×D4×C11—21no—
277C4×D4×C11—21no—
278C4×D4×C11—21no—
279C4×D4×C11—21no—
280C4×D4×C11C2311yescharacteristic
281C4×D4×C11C2311yescharacteristic
282C4×D4×C11C2311yescharacteristic
283C4×D4×C11C2311yescharacteristic
284C4×D4×C11C2311yescharacteristic
285C4×D4×C11C2311yescharacteristic
286C4×D4×C11C2311yescharacteristic
287C4×D4×C11C2311yescharacteristic
288C4×D4×C11C2311yescharacteristic
289C11×#117—21no—
290C11×#117—21no—
291C11×#117—21no—
292C11×#117—21no—
293C11×#117—21no—
294C11×#117C2311yescharacteristic
295C11×#117C2311yescharacteristic
296C11×#117C2311yescharacteristic
297C11×#117C2311yescharacteristic
298C2×C11×C4⋊C4—21no—
299C2×C11×C4⋊C4—21no—
300C2×C11×C4⋊C4—21no—
301C2×C11×C4⋊C4C2311yescharacteristic
302C2×C11×C22⋊C4—21no—
303C2×C11×C22⋊C4—21no—
304C2×C11×C22⋊C4—21no—
305C2×C11×C22⋊C4—21no—
306C2×C42×C11—21no—
307C2×C42×C11C2311yescharacteristic
308#67004—42no—
309#67003—42no—
310#67003—42no—
311#67003—42no—
312#67000—21no—
313Q8×Dic11—21no—
314C2×#4326C2311yescharacteristic
315C2×#4326C2311yescharacteristic
316C2×#4326C2311yescharacteristic
317C2×#4326C2311yescharacteristic
318C2×#4326C2311yescharacteristic
319C2×#4326C2311yescharacteristic
320C2×#4326C2311yescharacteristic
321C2×#4326C2311yescharacteristic
322C2×#4325C2311yescharacteristic
323C2×#4325C2311yescharacteristic
324C2×#4325C2311yescharacteristic
325C2×#4325C2311yescharacteristic
326#66993—21no—
327#66992—21no—
328#66992—21no—
329#66991—21no—
330#66991—21no—
331D4×Dic11—21no—
332C2×#4324—42no—
333C2×#4324C2311yescharacteristic
334C2×#4324C2311yescharacteristic
335C2×#4324C2311yescharacteristic
336C2×#4324C2311yescharacteristic
337C2×#4324C2311yescharacteristic
338C2×#4324C2311yescharacteristic
339C2×#4324C2311yescharacteristic
340C2×#4324C2311yescharacteristic
341#66985—42no—
342C2×#4323C2311yescharacteristic
343C2×#4323C2311yescharacteristic
344C2×#4323C2311yescharacteristic
345C2×#4323C2311yescharacteristic
346#66983—21no—
347#66983—21no—
348#66983C2311yescharacteristic
349#66983C2311yescharacteristic
350#66979—21no—
351#66977—21no—
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#66950—21no—
365#66950—21no—
366#66950—21no—
367#66950—21no—
368#66949—21no—
369#66949—21no—
370#66949—21no—
371#66949—21no—
372#66947—21no—
373#66947—21no—
374#66946—21no—
375#66946—21no—
376C4⋊C4×D11—21no—
377C4⋊C4×D11—21no—
378#66943—21no—
379#66943—21no—
380#66943—21no—
381#66941—21no—
382#66939—21no—
383#66939—21no—
384#66939—21no—
385#66939—21no—
386#66938—21no—
387#66938—21no—
388#66938—21no—
389#66938—21no—
390#66937—21no—
391#66937—21no—
392#66936—21no—
393#66936—21no—
394#66936—21no—
395#66936—21no—
396#66936—21no—
397#66936—21no—
398(C22⋊D11)⋊C4—21no—
399(C22⋊D11)⋊C4—21no—
400#66931—21no—
401#66931—21no—
402#66928C2311yescharacteristic
403#66928C2311yescharacteristic
404#66928C2311yescharacteristic
405#66928C2311yescharacteristic
406#66927C2311yescharacteristic
407C4×D44—21no—
408C4×D44—21no—
409C4×D44C2311yescharacteristic
410C4×D44C2311yescharacteristic
411#66923—21no—
412#66922C2311yescharacteristic
413#66922C2311yescharacteristic
414#66922C2311yescharacteristic
415#66922C2311yescharacteristic
416#66922C2311yescharacteristic
417C4×Dic22—21no—
418C4×Dic22C2311yescharacteristic
419C4×Dic22C2311yescharacteristic
420C4×Dic22C2311yescharacteristic
421C4×Dic22C2311yescharacteristic
422#66899C2311yescharacteristic
423#66899C2311yescharacteristic
424#66899C2311yescharacteristic
425#66899C2311yescharacteristic
426#66896C2311yescharacteristic
427#66896C2311yescharacteristic
428#66896C2311yescharacteristic
429#66896C2311yescharacteristic
430C22⋊(C11⋊C8)C2311yescharacteristic
431C22⋊(C11⋊C8)C2311yescharacteristic
432C22⋊(C11⋊C8)C2311yescharacteristic
433C22⋊(C11⋊C8)C2311yescharacteristic
434C22⋊(C11⋊C8)C2311yescharacteristic
435C22⋊(C11⋊C8)C2311yescharacteristic
436#66874C2311yescharacteristic
437#66874C2311yescharacteristic
438#66874C2311yescharacteristic
439#66874C2311yescharacteristic
440#66874C2311yescharacteristic
441#66874C2311yescharacteristic
442#66874C2311yescharacteristic
443#66874C2311yescharacteristic
444#66874C2311yescharacteristic
445#66874C2311yescharacteristic
446#66874C2311yescharacteristic
447#66874C2311yescharacteristic
448#66874C2311yescharacteristic
449#66874C2311yescharacteristic
450#66874C2311yescharacteristic
451#66874C2311yescharacteristic
452#66873C2311yescharacteristic
453#66873C2311yescharacteristic
454#66873C2311yescharacteristic
455#66873C2311yescharacteristic
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
485C24×C11—21no—
486C11×#41—22no—
487C11×#41—22no—
488C11×#41—41no—
489C11×#41—41no—
490C2×Q8×C11—21no—
491C2×Q8×C11C2×D411yescharacteristic
492C2×Q8×C11C2411yescharacteristic
493C2×Q8×C11C2411yescharacteristic
494C2×D4×C11—22no—
495C2×D4×C11—21no—
496C2×D4×C11—21no—
497C2×D4×C11—21no—
498C2×D4×C11—21no—
499C2×D4×C11—21no—
500C2×D4×C11—41no—
501C2×D4×C11C2×D411yescharacteristic
502C2×D4×C11C2×D411yescharacteristic
503C2×D4×C11C2×D411yescharacteristic
504C2×D4×C11C2411yescharacteristic
505C2×D4×C11C2411yescharacteristic
506C22×C4×C11—21no—
507C22×C4×C11—21no—
508C22×C4×C11—21no—
509C22×C4×C11—21no—
510C22×C4×C11—21no—
511C22×C4×C11—21no—
512C22×C4×C11—21no—
513C22×C4×C11—21no—
514C22×C4×C11—21no—
515C22×C4×C11C2×D411yescharacteristic
516C22×C4×C11C2×D411yescharacteristic
517C22×C4×C11C2411yescharacteristic
518C22×C4×C11C2411yescharacteristic
519C22×C4×C11C2411yescharacteristic
520C2×C22⋊D11—21no—
521C2×C22⋊D11—21no—
522C2×C22⋊D11—21no—
523C2×C22⋊D11—21no—
524C2×C22⋊D11—21no—
525C2×C22⋊D11—21no—
526C22×Dic11—21no—
527C22×Dic11—21no—
528#4339—41no—
529#4339—41no—
530#4339—41no—
531#4339—41no—
532#4339—41no—
533#4339—41no—
534#4339—41no—
535#4339—41no—
536C2×D44—21no—
537C2×D44—21no—
538C2×D44C2411yescharacteristic
539C2×D44C2411yescharacteristic
540C2×C4×D11—21no—
541C2×C4×D11—21no—
542C2×C4×D11—21no—
543C2×C4×D11—21no—
544C2×C4×D11—21no—
545C2×C4×D11—21no—
546C2×Dic22—21no—
547C2×Dic22—21no—
548C2×Dic22—21no—
549C2×Dic22—41no—
550C2×Dic22—41no—
551C2×Dic22—41no—
552C2×Dic22—41no—
553C2×Dic22C2411yescharacteristic
554C2×Dic22C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
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⋊C4C2411yescharacteristic
584C11×C4⋊C4C2411yescharacteristic
585C11×C4⋊C4C2411yescharacteristic
586C11×C4⋊C4C2411yescharacteristic
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⋊C4—21no—
603C11×C22⋊C4—21no—
604C11×C22⋊C4—21no—
605C11×C22⋊C4C2×D411yescharacteristic
606C11×C22⋊C4C2×D411yescharacteristic
607C11×C22⋊C4C2×D411yescharacteristic
608C11×C22⋊C4C2×D411yescharacteristic
609C11×C22⋊C4C2×D411yescharacteristic
610C11×C22⋊C4C2×D411yescharacteristic
611C11×C22⋊C4C2×D411yescharacteristic
612C11×C22⋊C4C2×D411yescharacteristic
613C11×C22⋊C4C2×D411yescharacteristic
614C11×C22⋊C4C2×D411yescharacteristic
615C42×C11—21no—
616C42×C11—21no—
617C42×C11—21no—
618C42×C11—21no—
619C42×C11—21no—
620C42×C11—21no—
621C42×C11C2×D411yescharacteristic
622C42×C11C2×D411yescharacteristic
623C42×C11C2411yescharacteristic
624C42×C11C2411yescharacteristic
625C42×C11C2411yescharacteristic
626C42×C11C2411yescharacteristic
627C22⋊Dic11—21no—
628C22⋊Dic11—21no—
629C22⋊Dic11—21no—
630C22⋊Dic11—21no—
631#4326—41no—
632#4326—41no—
633#4326—41no—
634#4326—41no—
635#4326—41no—
636#4326—41no—
637#4326—41no—
638#4326—41no—
639#4325—41no—
640#4325—41no—
641#4325—41no—
642#4325—41no—
643#4324—22no—
644#4324—22no—
645#4324—22no—
646#4324—22no—
647#4324—41no—
648#4324—41no—
649#4324—41no—
650#4324—41no—
651#4323—22no—
652#4323—22no—
653#4323—41no—
654#4323—41no—
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—
664(C2×D11)⋊C4—21no—
665(C2×D11)⋊C4—21no—
666(C2×D11)⋊C4—21no—
667C4⋊Dic11—21no—
668C4⋊Dic11—21no—
669C4⋊Dic11—21no—
670C4⋊Dic11—21no—
671C4⋊Dic11—21no—
672C4⋊Dic11—21no—
673C4⋊Dic11—21no—
674C4⋊Dic11—21no—
675C4⋊Dic11—21no—
676C4⋊Dic11C2411yescharacteristic
677C4⋊Dic11C2411yescharacteristic
678Dic11⋊C4—21no—
679Dic11⋊C4—21no—
680Dic11⋊C4—21no—
681Dic11⋊C4—21no—
682Dic11⋊C4—21no—
683Dic11⋊C4—21no—
684Dic11⋊C4—21no—
685Dic11⋊C4—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#3554—111no—
705#3521D1111yescharacteristic, complemented
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×C11—42no—
738C23×C11—81no—
739C23×C11—81no—
740C23×C11C22×D411yescharacteristic
741C23×C11C22×D411yescharacteristic
742C23×C11C22×D411yescharacteristic
743C22×D11—21no—
744C22×D11—21no—
745Q8×C11—21no—
746Q8×C11—21no—
747Q8×C11—21no—
748Q8×C11—21no—
749Q8×C11—41no—
750Q8×C11—81no—
751D4×C11—21no—
752D4×C11—21no—
753D4×C11—21no—
754D4×C11—41no—
755D4×C11—41no—
756D4×C11—41no—
757D4×C11—42no—
758D4×C11—42no—
759D4×C11—42no—
760D4×C11—81no—
761D4×C11—81no—
762D4×C11H(5,𝔽2)12yes—
763C2×C4×C11—21no—
764C2×C4×C11—21no—
765C2×C4×C11—21no—
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—41no—
776C2×C4×C11—41no—
777C2×C4×C11—42no—
778C2×C4×C11—42no—
779C2×C4×C11—81no—
780C2×C4×C11—81no—
781C2×C4×C11—81no—
782C2×C4×C11—81no—
783C2×C4×C11—81no—
784C2×C4×C11—81no—
785C2×C4×C11—81no—
786C2×C4×C11C22×D411yescharacteristic
787C2×C4×C11C22×D411yescharacteristic
788C2×C4×C11C22×D411yescharacteristic
789C2×C4×C11C22×D411yescharacteristic
790C2×C4×C11C22×D411yescharacteristic
791C2×C4×C11C22×D411yescharacteristic
792C2×C4×C11C22×D411yescharacteristic
793C2×C4×C11C22×D411yescharacteristic
794C2×C4×C11C22×D411yescharacteristic
795C2×C4×C11C22×D411yescharacteristic
796C2×C4×C11C22×D411yescharacteristic
797C2×C4×C11C2511yescharacteristic
798C22⋊D11—81no—
799C22⋊D11—81no—
800C22⋊D11—81no—
801C22⋊D11—81no—
802C22⋊D11—81no—
803C22⋊D11—81no—
804C2×Dic11—21no—
805C2×Dic11—21no—
806C2×Dic11—21no—
807C2×Dic11—21no—
808C2×Dic11—21no—
809C2×Dic11—21no—
810C2×Dic11—81no—
811C2×Dic11—81no—
812D44—21no—
813D44—21no—
814D44—21no—
815D44—21no—
816D44—42no—
817D44—81no—
818C4×D11—81no—
819C4×D11—81no—
820C4×D11—81no—
821C4×D11—81no—
822C4×D11—81no—
823C4×D11—81no—
824Dic22—21no—
825Dic22—21no—
826Dic22—21no—
827Dic22—21no—
828Dic22—21no—
829Dic22—21no—
830Dic22—21no—
831Dic22—21no—
832Dic22—81no—
833Dic22—81no—
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—221no—
850#562—221no—
851#559—111no—
852#559—221no—
853#557—111no—
854#556C2×D1111yescharacteristic
855#556C2×D1111yescharacteristic
856#554—221no—
857#554C2×D1111yescharacteristic
858#553—21no—
859#553C2×D1111yescharacteristic
860#552—21no—
861#552C2×D1111yescharacteristic
862#551—21no—
863#551—21no—
864#550—111no—
865D4×Q8—111no—
866#548—111no—
867#548—111no—
868#547—111no—
869#547—111no—
870#547C2×D1111yescharacteristic
871#546C2×D1111yescharacteristic
872#546C2×D1111yescharacteristic
873#542—111no—
874#542—111no—
875#542—221no—
876#542C2×D1111yescharacteristic
877#541C2×D1111yescharacteristic
878#540—221no—
879#539—21no—
880#539—221no—
881#539—221no—
882#538—21no—
883#536—111no—
884#536—111no—
885#533—111no—
886#532—111no—
887#529—21no—
888#529C2×D1111yescharacteristic
889#529C2×D1111yescharacteristic
890C2×#126—21no—
891#520C2×D1111yescharacteristic
892#518C2×D1111yescharacteristic
893C4×#41C2×D1111yescharacteristic
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—22no—
1024C22×C11—41no—
1025C22×C11—41no—
1026C22×C11—41no—
1027C22×C11—41no—
1028C22×C11—41no—
1029C22×C11—162no—
1030C22×C11C23×D411yescharacteristic
1031C2×D11—41no—
1032C2×D11—41no—
1033C2×D11—41no—
1034C2×D11—41no—
1035C2×D11—41no—
1036C2×D11—41no—
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×#41—111no—
1065C2×#41—111no—
1066C2×#41C22×D1111yescharacteristic
1067C2×#41C22×D1111yescharacteristic
1068C22×Q8—111no—
1069C22×Q8—111no—
1070C22×D4C22×D1111yescharacteristic
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—111no—
1108C4⋊Q8—111no—
1109C4⋊Q8—111no—
1110C4⋊Q8—111no—
1111C4⋊Q8—111no—
1112C4⋊Q8—221no—
1113C4⋊Q8C22×D1111yescharacteristic
1114C4⋊Q8C22×D1111yescharacteristic
1115#127—111no—
1116#127—221no—
1117#126—21no—
1118#126—21no—
1119#126—21no—
1120#126—21no—
1121#126—21no—
1122#126—21no—
1123#126—21no—
1124#126—21no—
1125#126—21no—
1126#126—21no—
1127#126—221no—
1128#126—221no—
1129#126C22⋊D1111yescharacteristic
1130#126C22⋊D1111yescharacteristic
1131#125—21no—
1132#125—21no—
1133#125—21no—
1134#125—221no—
1135#125—221no—
1136#125—221no—
1137#125—221no—
1138#125C22⋊D1111yescharacteristic
1139#125C22×D1111yescharacteristic
1140#125C22×D1111yescharacteristic
1141#124—21no—
1142#124—21no—
1143#124—111no—
1144#124—111no—
1145#124—111no—
1146#124—111no—
1147#124—221no—
1148#124—221no—
1149#124—221no—
1150#124—221no—
1151#124—221no—
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—221no—
1164#123—221no—
1165#123—221no—
1166#123—221no—
1167#123—221no—
1168#123—221no—
1169#123—221no—
1170#123—221no—
1171#123—221no—
1172#123—221no—
1173#123—221no—
1174#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—111no—
1183C22⋊Q8—111no—
1184C22⋊Q8—111no—
1185C22⋊Q8—111no—
1186C22⋊Q8—221no—
1187C22⋊Q8—221no—
1188C22⋊Q8—221no—
1189C22⋊Q8—221no—
1190C22⋊Q8—221no—
1191C22⋊Q8—221no—
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—111no—
1207#121—111no—
1208#121—221no—
1209#121—221no—
1210#121—221no—
1211#121—221no—
1212#121—221no—
1213#121—221no—
1214#121—221no—
1215#121—221no—
1216#121C22⋊D1111yescharacteristic
1217#121C22×D1111yescharacteristic
1218#121C22×D1111yescharacteristic
1219#120—21no—
1220#120—21no—
1221C4×Q8—21no—
1222C4×Q8—111no—
1223C4×Q8—111no—
1224C4×Q8—111no—
1225C4×Q8—111no—
1226C4×Q8—221no—
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—21no—
1241C4×D4—111no—
1242C4×D4—111no—
1243C4×D4—221no—
1244C4×D4—221no—
1245C4×D4—221no—
1246C4×D4—221no—
1247C4×D4—221no—
1248C4×D4—221no—
1249C4×D4—221no—
1250C4×D4C22×D1111yescharacteristic
1251C4×D4C22×D1111yescharacteristic
1252C4×D4C22×D1111yescharacteristic
1253C4×D4C22×D1111yescharacteristic
1254C4×D4C22×D1111yescharacteristic
1255C4×D4C22×D1111yescharacteristic
1256C4×D4C22×D1111yescharacteristic
1257C4×D4C22×D1111yescharacteristic
1258C4×D4C22×D1111yescharacteristic
1259#117—21no—
1260#117—21no—
1261#117—21no—
1262#117—21no—
1263#117—21no—
1264#117—221no—
1265#117C22×D1111yescharacteristic
1266#117C22×D1111yescharacteristic
1267#117C22×D1111yescharacteristic
1268#117C22×D1111yescharacteristic
1269C2×C4⋊C4—21no—
1270C2×C4⋊C4—21no—
1271C2×C4⋊C4—21no—
1272C2×C4⋊C4—221no—
1273C2×C4⋊C4—221no—
1274C2×C4⋊C4C22×D1111yescharacteristic
1275C2×C22⋊C4—21no—
1276C2×C22⋊C4—21no—
1277C2×C22⋊C4—21no—
1278C2×C22⋊C4—21no—
1279C2×C42—21no—
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—42no—
1347C2×C11—81no—
1348C2×C11#348811yescharacteristic
1349C2×C11#358411yescharacteristic
1350C2×C11#358611yescharacteristic
1351D11—81no—
1352D11—81no—
1353C24—21no—
1354#41—22no—
1355#41—22no—
1356#41—41no—
1357#41—41no—
1358#41—441no—
1359#41—441no—
1360#41—441no—
1361#41—441no—
1362#41—441no—
1363#41—441no—
1364#41—441no—
1365#41—441no—
1366C2×Q8—21no—
1367C2×Q8—111no—
1368C2×Q8—111no—
1369C2×Q8—111no—
1370C2×Q8—111no—
1371C2×Q8—221no—
1372C2×Q8—221no—
1373C2×Q8—221no—
1374C2×Q8—441no—
1375C2×Q8—441no—
1376C2×Q8—441no—
1377C2×Q8—441no—
1378C2×Q8C2×C22⋊D1111yescharacteristic
1379C2×Q8C23×D1111yescharacteristic
1380C2×Q8C23×D1111yescharacteristic
1381C2×D4—22no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—41no—
1388C2×D4—111no—
1389C2×D4—111no—
1390C2×D4—221no—
1391C2×D4—221no—
1392C2×D4—221no—
1393C2×D4—221no—
1394C2×D4—221no—
1395C2×D4—221no—
1396C2×D4—221no—
1397C2×D4—221no—
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—21no—
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—111no—
1480C4⋊C4—111no—
1481C4⋊C4—221no—
1482C4⋊C4—221no—
1483C4⋊C4—221no—
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⋊C4C2×C22⋊D1111yescharacteristic
1499C4⋊C4C2×C22⋊D1111yescharacteristic
1500C4⋊C4C2×C22⋊D1111yescharacteristic
1501C4⋊C4C2×C22⋊D1111yescharacteristic
1502C4⋊C4C2×C22⋊D1111yescharacteristic
1503C4⋊C4C2×C22⋊D1111yescharacteristic
1504C4⋊C4C2×C22⋊D1111yescharacteristic
1505C4⋊C4C2×C22⋊D1111yescharacteristic
1506C4⋊C4C2×C22⋊D1111yescharacteristic
1507C4⋊C4C2×C22⋊D1111yescharacteristic
1508C4⋊C4C23×D1111yescharacteristic
1509C4⋊C4C23×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—21no—
1529C22⋊C4—21no—
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—21no—
1561C42—21no—
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—42no—
1576C23—81no—
1577C23—81no—
1578C23—221no—
1579C23—221no—
1580C23C22×C22⋊D1111yescharacteristic
1581C23C22×C22⋊D1111yescharacteristic
1582C23C22×C22⋊D1111yescharacteristic
1583Q8—21no—
1584Q8—21no—
1585Q8—21no—
1586Q8—21no—
1587Q8—41no—
1588Q8—81no—
1589Q8—221no—
1590Q8—221no—
1591Q8—221no—
1592Q8—221no—
1593Q8—221no—
1594Q8—221no—
1595Q8—221no—
1596Q8—221no—
1597Q8—881no—
1598Q8—881no—
1599Q8—881no—
1600D4—21no—
1601D4—21no—
1602D4—21no—
1603D4—41no—
1604D4—41no—
1605D4—41no—
1606D4—42no—
1607D4—42no—
1608D4—42no—
1609D4—81no—
1610D4—81no—
1611D4—221no—
1612D4—221no—
1613D4—221no—
1614D4—221no—
1615D4—442no—
1616D4—881no—
1617D4—881no—
1618D4—881no—
1619D4—881no—
1620D4—881no—
1621D4—881no—
1622D4—881no—
1623D4#6704212yes—
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—42no—
1639C2×C4—42no—
1640C2×C4—81no—
1641C2×C4—81no—
1642C2×C4—81no—
1643C2×C4—81no—
1644C2×C4—81no—
1645C2×C4—81no—
1646C2×C4—81no—
1647C2×C4—221no—
1648C2×C4—221no—
1649C2×C4—221no—
1650C2×C4—221no—
1651C2×C4—221no—
1652C2×C4—221no—
1653C2×C4—881no—
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—22no—
1688C22—21no—
1689C22—21no—
1690C22—21no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—162no—
1697C22—441no—
1698C22—441no—
1699C22—441no—
1700C22—441no—
1701C22—441no—
1702C22—441no—
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—
1727C4C2×#6704211yescharacteristic
1728C4#1062345311yescharacteristic
1729C2—41no—
1730C2—41no—
1731C2—41no—
1732C2—42no—
1733C2—81no—
1734C2—881no—
1735C2—881no—
1736C2#1308228511yescharacteristic
1737C2#1308338711yescharacteristic
1738C2#1308340211yescharacteristic
subgroupG/H
centerC22C23×C22⋊D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3521C2
socleC22×C11C23×D4
hypercenter#3521D11
hypocenterC11#62023
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ #529 ◁ #3521

Complements

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

NH ≅ G/Ntype
1. #13083089C2semidirect
2. #13081682C2semidirect
3. #13081647C2semidirect
4. #13081397C2semidirect
5. #13081369C2semidirect
6. #13080736C2semidirect
7. #13080676C2semidirect
8. #13080661C2semidirect
9. #13080586C2semidirect
10. #13080527C2semidirect
11. #13080512C2semidirect
12. #13080334C2semidirect
13. #13080319C2semidirect
14. #13080167C2semidirect
15. #13080152C2semidirect
16. #13080137C2semidirect
17. #13080122C2semidirect
18. #13080072C2semidirect
19. #13080036C2semidirect
20. #13079953C2semidirect
21. #13079719C2semidirect
22. #13079693C2semidirect
23. #13079649C2semidirect
24. #13078893C2semidirect
25. #13078800C2semidirect
26. #13078778C2semidirect
27. #13078166C2semidirect
28. #13078128C2semidirect
29. #13078071C2semidirect
30. #13077755C2semidirect
31. C11×#3521C2semidirect
69. #10623116C22semidirect
70. #10623101C22semidirect
73. #10623083C22semidirect
75. #10623082C22semidirect
78. #10623065C22semidirect
80. #10623057C22semidirect
81. #10623008C22semidirect
82. #10623001C22semidirect
89. #10622706C22semidirect
90. #10622705C22semidirect
91. #10622704C22semidirect
92. #10622703C22semidirect
93. #10622702C22semidirect
94. #10622700C22semidirect
95. #10622699C22semidirect
96. #10622696C22semidirect
97. #10622682C22semidirect
98. #10622682C22semidirect
99. #10622681C22semidirect
100. #10622680C22semidirect
101. #10622679C22semidirect
102. #10622676C22semidirect
103. #10622676C22semidirect
104. #10622676C22semidirect
115. #10622664C22semidirect
116. #10622664C22semidirect
117. #10622664C22semidirect
120. #10622663C22semidirect
122. #10622662C22semidirect
126. #10622660C22semidirect
127. #10622660C22semidirect
128. #10622660C22semidirect
137. #10622644C22semidirect
138. #10622644C22semidirect
139. #10622644C22semidirect
140. #10622644C22semidirect
141. #10622643C22semidirect
142. #10622643C22semidirect
143. #10622643C22semidirect
144. #10622641C22semidirect
145. #10622641C22semidirect
146. #10622641C22semidirect
147. #10622641C22semidirect
148. #10622641C22semidirect
149. #10622640C22semidirect
150. C4×#4325C22semidirect
151. #10622637C22semidirect
152. #10622637C22semidirect
153. #10622634C22semidirect
154. #10622633C22semidirect
180. #10622624C22semidirect
182. D4×C11⋊C8C22semidirect
188. #10622615C22semidirect
189. #10622615C22semidirect
191. #10622613C22semidirect
193. #10622612C22semidirect
195. #10622609C22semidirect
196. #10622609C22semidirect
197. #10622584C22semidirect
198. C2×#66874C22semidirect
199. #10622581C22semidirect
200. #10622579C22semidirect
201. #10622539C22semidirect
202. C2×C4⋊(C11⋊C8)C22semidirect
705. #3521D11semidirect
1572. C11#62023semidirect

Maximal subgroups

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

subgroupindex
#130830892
#130816822
#130816472
#130813972
#130813692
#130807362
#130806762
#130806612
#130805862
#130805272
#130805122
#130803342
#130803192
#130801672
#130801522
#130801372
#130801222
#130800722
#130800362
#130799532
#130797192
#130796932
#130796492
#130788932
#130788002
#130787782
#130781662
#130781282
#130780712
#130777552
C11×#35212
#6202311