Finite Group Databasebeta

← #15647261

Subgroups — #15647261

Order 2816.

1846 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13083204C211yesmaximal, characteristic, complemented
2#13081658C211yesmaximal, characteristic, complemented
3#13081632C211yesmaximal, characteristic, complemented
4#13081458C211yesmaximal, characteristic, complemented
5#13081384C211yesmaximal, characteristic, complemented
6#13080616C211yesmaximal, characteristic, complemented
7#13080601C211yesmaximal, characteristic, complemented
8#13080586C211yesmaximal, characteristic, complemented
9#13080571C211yesmaximal, characteristic, complemented
10#13080512C211yesmaximal, characteristic, complemented
11#13080460C211yesmaximal, characteristic, complemented
12#13080372C211yesmaximal, characteristic, complemented
13#13080346C211yesmaximal, characteristic, complemented
14#13080197C211yesmaximal, characteristic, complemented
15#13080197C211yesmaximal, characteristic, complemented
16#13080157C211yesmaximal, characteristic, complemented
17#13080157C211yesmaximal, characteristic, complemented
18#13080062C211yesmaximal, characteristic, complemented
19#13080051C211yesmaximal, characteristic, complemented
20#13079936C211yesmaximal, characteristic, complemented
21#13079671C211yesmaximal, characteristic, complemented
22#13079660C211yesmaximal, characteristic, complemented
23#13079607C211yesmaximal, characteristic, complemented
24#13078830C211yesmaximal, characteristic, complemented
25#13078815C211yesmaximal, characteristic, complemented
26#13078725C211yesmaximal, characteristic, complemented
27#13078166C211yesmaximal, characteristic, complemented
28#13078155C211yesmaximal, characteristic, complemented
29#13078071C211yesmaximal, characteristic, complemented
30#13077755C211yesmaximal, characteristic, complemented
31C11×#3517C211yesmaximal, characteristic, complemented
32C11×#557C2211yescharacteristic, complemented
33C11×#553—21no—
34C11×#553—21no—
35C11×#553C2211yescharacteristic
36C11×#553C2211yescharacteristic, complemented
37C11×#550—21no—
38C11×#550C2211yescharacteristic
39C11×#550C2211yescharacteristic
40C11×#550C2211yescharacteristic, complemented
41C11×#550C2211yescharacteristic, complemented
42C11×#547—21no—
43C11×#547C2211yescharacteristic
44C11×#540—21no—
45C11×#540—21no—
46C11×#540C2211yescharacteristic
47C11×#540C2211yescharacteristic, complemented
48C11×#532—21no—
49C11×#532C2211yescharacteristic, complemented
50C11×#529—21no—
51C11×#529C2211yescharacteristic
52C11×#520C2211yescharacteristic
53C11×#520C2211yescharacteristic, complemented
54C4×C11×#41C2211yescharacteristic, complemented
55C2×#67004C2211yescharacteristic, complemented
56C2×#67003C2211yescharacteristic
57C2×#67003C2211yescharacteristic
58C2×#67003C2211yescharacteristic
59C2×#67003C2211yescharacteristic, complemented
60C2×#67002C2211yescharacteristic
61#10623240—21no—
62#10623236—21no—
63#10623223—21no—
64#10623209—21no—
65#10623194—21no—
66#10623188—21no—
67#10623178—21no—
68#10623151—21no—
69#10623116C2211yescharacteristic
70#10623115C2211yescharacteristic
71#10623084C2211yescharacteristic
72#10623083C2211yescharacteristic
73#10623083C2211yescharacteristic
74#10623082C2211yescharacteristic
75#10623081C2211yescharacteristic
76#10623081C2211yescharacteristic
77#10623066C2211yescharacteristic
78#10623057C2211yescharacteristic
79#10623056C2211yescharacteristic
80#10623049C2211yescharacteristic
81#10623010C2211yescharacteristic
82#10623008C2211yescharacteristic
83#10622852C2211yescharacteristic
84#10622852C2211yescharacteristic
85#10622852C2211yescharacteristic, complemented
86#10622851C2211yescharacteristic
87#10622851C2211yescharacteristic
88#10622851C2211yescharacteristic, complemented
89#10622704C2211yescharacteristic, complemented
90#10622702C2211yescharacteristic
91#10622702C2211yescharacteristic, complemented
92#10622697C2211yescharacteristic
93#10622689C2211yescharacteristic, complemented
94#10622688C2211yescharacteristic, complemented
95#10622688C2211yescharacteristic, complemented
96#10622688C2211yescharacteristic, complemented
97#10622687C2211yescharacteristic
98#10622687C2211yescharacteristic
99#10622687C2211yescharacteristic
100#10622687C2211yescharacteristic, complemented
101#10622686C2211yescharacteristic
102#10622685C2211yescharacteristic
103#10622685C2211yescharacteristic
104#10622685C2211yescharacteristic, complemented
105#10622682C2211yescharacteristic, complemented
106#10622681C2211yescharacteristic
107#10622681C2211yescharacteristic
108#10622680C2211yescharacteristic
109#10622679C2211yescharacteristic
110#10622679C2211yescharacteristic, complemented
111#10622676C2211yescharacteristic, complemented
112#10622676C2211yescharacteristic, complemented
113#10622655C2211yescharacteristic
114#10622655C2211yescharacteristic
115#10622654C2211yescharacteristic
116#10622654C2211yescharacteristic
117#10622654C2211yescharacteristic, complemented
118#10622654C2211yescharacteristic, complemented
119#10622653C2211yescharacteristic, complemented
120#10622653C2211yescharacteristic, complemented
121#10622652C2211yescharacteristic
122#10622652C2211yescharacteristic, complemented
123#10622651C2211yescharacteristic
124#10622651C2211yescharacteristic
125#10622651C2211yescharacteristic
126#10622651C2211yescharacteristic, complemented
127#10622650C2211yescharacteristic
128#10622650C2211yescharacteristic
129#10622650C2211yescharacteristic
130#10622650C2211yescharacteristic
131#10622650C2211yescharacteristic
132#10622650C2211yescharacteristic
133#10622650C2211yescharacteristic, complemented
134#10622650C2211yescharacteristic, complemented
135#10622649C2211yescharacteristic
136#10622649C2211yescharacteristic
137#10622644C2211yescharacteristic, complemented
138#10622644C2211yescharacteristic, complemented
139#10622643C2211yescharacteristic, complemented
140#10622643C2211yescharacteristic, complemented
141C4×#4326C2211yescharacteristic, complemented
142#10622641C2211yescharacteristic
143#10622641C2211yescharacteristic
144#10622641C2211yescharacteristic
145#10622641C2211yescharacteristic
146#10622641C2211yescharacteristic, complemented
147#10622640C2211yescharacteristic
148#10622640C2211yescharacteristic
149#10622639C2211yescharacteristic
150#10622639C2211yescharacteristic
151C4×#4325C2211yescharacteristic, complemented
152#10622637C2211yescharacteristic, complemented
153#10622637C2211yescharacteristic, complemented
154#10622635C2211yescharacteristic, complemented
155#10622632C2211yescharacteristic, complemented
156#10622632C2211yescharacteristic, complemented
157#10622632C2211yescharacteristic, complemented
158#10622632C2211yescharacteristic, complemented
159#10622631C2211yescharacteristic, complemented
160#10622631C2211yescharacteristic, complemented
161C4×#4324C2211yescharacteristic, complemented
162#10622629C2211yescharacteristic
163#10622629C2211yescharacteristic
164#10622629C2211yescharacteristic
165#10622629C2211yescharacteristic
166#10622629C2211yescharacteristic
167#10622629C2211yescharacteristic
168#10622629C2211yescharacteristic, complemented
169#10622628C2211yescharacteristic
170#10622628C2211yescharacteristic
171#10622628C2211yescharacteristic
172#10622628C2211yescharacteristic
173#10622627C2211yescharacteristic
174#10622627C2211yescharacteristic, complemented
175C4×#4323C2211yescharacteristic
176#10622624C2211yescharacteristic
177#10622624C2211yescharacteristic
178#10622624C2211yescharacteristic
179#10622624C2211yescharacteristic, complemented
180D4×C11⋊C8C2211yescharacteristic
181D4×C11⋊C8C2211yescharacteristic, complemented
182#10622622C2211yescharacteristic, complemented
183#10622622C2211yescharacteristic, complemented
184#10622622C2211yescharacteristic, complemented
185#10622616C2211yescharacteristic
186#10622615C2211yescharacteristic
187#10622615C2211yescharacteristic, complemented
188#10622613C2211yescharacteristic
189#10622613C2211yescharacteristic, complemented
190#10622612C2211yescharacteristic
191#10622612C2211yescharacteristic, complemented
192#10622609C2211yescharacteristic, complemented
193#10622584C2211yescharacteristic
194#10622583C2211yescharacteristic
195C2×#66874C2211yescharacteristic, complemented
196#10622581C2211yescharacteristic
197#10622580C2211yescharacteristic, complemented
198#10622579C2211yescharacteristic
199#10622579C2211yescharacteristic
200C2×#66873C2211yescharacteristic
201#10622539C2211yescharacteristic, complemented
202C2×C4⋊(C11⋊C8)C2211yescharacteristic, complemented
203C2×C11×#41—21no—
204C2×C11×#41—21no—
205C2×C11×#41—21no—
206C2×C11×#41C2311yescharacteristic
207C2×C11×#41C2311yescharacteristic
208C2×C11×#41C2311yescharacteristic
209C2×#4339C2311yescharacteristic
210C2×#4339C2311yescharacteristic
211C2×#4339C2311yescharacteristic
212C2×#4339C2311yescharacteristic
213C22×D44C2311yescharacteristic
214C22×Dic22C2311yescharacteristic
215C11×C4⋊Q8—21no—
216C11×C4⋊Q8C2311yescharacteristic
217C11×#127—21no—
218C11×#127—21no—
219C11×#127—21no—
220C11×#127C2311yescharacteristic
221C11×#127C2311yescharacteristic
222C11×#127C2311yescharacteristic
223C11×#126—21no—
224C11×#126—21no—
225C11×#126D411yescharacteristic
226C11×#126D411yescharacteristic
227C11×#125—21no—
228C11×#125—21no—
229C11×#125D411yescharacteristic
230C11×#125C2311yescharacteristic
231C11×#125C2311yescharacteristic
232C11×#124—21no—
233C11×#124D411yescharacteristic
234C11×#123—21no—
235C11×#123—21no—
236C11×#123—21no—
237C11×#123—21no—
238C11×#123—21no—
239C11×#123—21no—
240C11×#123—21no—
241C11×#123—21no—
242C11×#123D411yescharacteristic
243C11×#123D411yescharacteristic
244C11×C22⋊Q8—21no—
245C11×C22⋊Q8D411yescharacteristic
246C11×#121—21no—
247C11×#121—21no—
248C11×#121—21no—
249C11×#121—21no—
250C11×#121—21no—
251C11×#121—21no—
252C11×#121—21no—
253C11×#121—21no—
254C11×#121—21no—
255C11×#121—21no—
256C11×#121—21no—
257C11×#121—21no—
258C11×#121—21no—
259C11×#121—21no—
260C11×#121—21no—
261C11×#121—21no—
262C11×#121D411yescharacteristic
263C11×#121C2311yescharacteristic
264C11×#121C2311yescharacteristic
265C11×#121C2311yescharacteristic
266C11×#121C2311yescharacteristic
267C11×#121C2311yescharacteristic
268C11×#121C2311yescharacteristic
269C4×Q8×C11—21no—
270C4×Q8×C11C2311yescharacteristic
271C4×Q8×C11C2311yescharacteristic
272C4×Q8×C11C2311yescharacteristic
273C4×Q8×C11C2311yescharacteristic
274C4×Q8×C11C2311yescharacteristic
275C4×D4×C11—21no—
276C4×D4×C11—21no—
277C4×D4×C11—21no—
278C4×D4×C11—21no—
279C4×D4×C11—21no—
280C4×D4×C11—21no—
281C4×D4×C11—21no—
282C4×D4×C11—21no—
283C4×D4×C11—21no—
284C4×D4×C11—21no—
285C4×D4×C11—21no—
286C4×D4×C11—21no—
287C4×D4×C11C2311yescharacteristic
288C4×D4×C11C2311yescharacteristic
289C4×D4×C11C2311yescharacteristic
290C4×D4×C11C2311yescharacteristic
291C4×D4×C11C2311yescharacteristic
292C4×D4×C11C2311yescharacteristic
293C4×D4×C11C2311yescharacteristic
294C4×D4×C11C2311yescharacteristic
295C4×D4×C11C2311yescharacteristic
296C11×#117—21no—
297C11×#117—21no—
298C11×#117—21no—
299C11×#117C2311yescharacteristic
300C11×#117C2311yescharacteristic
301C11×#117C2311yescharacteristic
302C2×C11×C4⋊C4—21no—
303C2×C11×C4⋊C4—21no—
304C2×C11×C4⋊C4C2311yescharacteristic
305C2×C11×C4⋊C4C2311yescharacteristic
306C2×C42×C11—21no—
307C2×C42×C11C2311yescharacteristic
308#67004—42no—
309#67003—42no—
310#67003—42no—
311#67003—42no—
312#67003—42no—
313#67002—42no—
314#67000—21no—
315#66999—21no—
316C2×#4326C2311yescharacteristic
317C2×#4326C2311yescharacteristic
318C2×#4326C2311yescharacteristic
319C2×#4325C2311yescharacteristic
320C2×#4325C2311yescharacteristic
321C2×#4325C2311yescharacteristic
322#66993—21no—
323#66992—21no—
324#66992—21no—
325#66991—21no—
326#66990—21no—
327#66990—21no—
328C2×#4324C2311yescharacteristic
329C2×#4324C2311yescharacteristic
330C2×#4324C2311yescharacteristic
331C2×#4324C2311yescharacteristic
332C2×#4324C2311yescharacteristic
333C2×#4324C2311yescharacteristic
334C2×#4324C2311yescharacteristic
335C2×#4324C2311yescharacteristic
336C2×#4324C2311yescharacteristic
337C2×#4323C2311yescharacteristic
338C2×#4323C2311yescharacteristic
339C2×#4323C2311yescharacteristic
340C2×#4323C2311yescharacteristic
341C2×#4323C2311yescharacteristic
342C2×#4323C2311yescharacteristic
343C2×#4323C2311yescharacteristic
344C2×#4323C2311yescharacteristic
345C2×#4323C2311yescharacteristic
346#66983—21no—
347#66983—21no—
348#66983C2311yescharacteristic
349#66983C2311yescharacteristic
350#66983C2311yescharacteristic
351#66982—21no—
352C4×C22⋊D11—21no—
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#66949—21no—
367#66949—21no—
368#66948—21no—
369#66948—21no—
370#66947—21no—
371#66947—21no—
372#66947—21no—
373#66947—21no—
374#66947—21no—
375#66947—21no—
376#66946—21no—
377#66946—21no—
378#66945—21no—
379C4⋊C4×D11—21no—
380#66942—21no—
381#66942—21no—
382#66939—21no—
383#66939—21no—
384#66938—21no—
385#66938—21no—
386#66937—21no—
387#66937—21no—
388#66937—21no—
389#66937—21no—
390#66937—21no—
391#66937—21no—
392#66936—21no—
393#66936—21no—
394#66935—21no—
395#66935—21no—
396(C22⋊D11)⋊C4—21no—
397(C22⋊D11)⋊C4—21no—
398C22⋊C4×D11—21no—
399C22⋊C4×D11—21no—
400#66932—21no—
401#66932—21no—
402#66929—21no—
403#66928C2311yescharacteristic
404#66928C2311yescharacteristic
405#66928C2311yescharacteristic
406#66928C2311yescharacteristic
407#66928C2311yescharacteristic
408#66927C2311yescharacteristic
409#66927C2311yescharacteristic
410C4×D44—21no—
411C4×D44—21no—
412C4×D44C2311yescharacteristic
413C4×D44C2311yescharacteristic
414C4×D44C2311yescharacteristic
415#66925—21no—
416#66923C2311yescharacteristic
417#66922C2311yescharacteristic
418#66922C2311yescharacteristic
419C4×Dic22C2311yescharacteristic
420C4×Dic22C2311yescharacteristic
421C4×Dic22C2311yescharacteristic
422#66899C2311yescharacteristic
423#66899C2311yescharacteristic
424#66896C2311yescharacteristic
425#66896C2311yescharacteristic
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#66873C2311yescharacteristic
449#66873C2311yescharacteristic
450#66873C2311yescharacteristic
451#66873C2311yescharacteristic
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#62014—111nomaximal, Sylow
485C23×D11—21no—
486C11×#41—22no—
487C11×#41—22no—
488C11×#41—22no—
489C11×#41—41no—
490C11×#41—41no—
491C11×#41—41no—
492C11×#41—82no—
493C11×#41—82no—
494C11×#41—82no—
495C2×Q8×C11—21no—
496C2×Q8×C11C2×D411yescharacteristic
497C2×Q8×C11C2411yescharacteristic
498C2×D4×C11—21no—
499C2×D4×C11—21no—
500C2×D4×C11—21no—
501C2×D4×C11—21no—
502C2×D4×C11—21no—
503C2×D4×C11—21no—
504C2×D4×C11—21no—
505C2×D4×C11—21no—
506C2×D4×C11—21no—
507C2×D4×C11—21no—
508C2×D4×C11—21no—
509C2×D4×C11—21no—
510C2×D4×C11—21no—
511C2×D4×C11—21no—
512C2×D4×C11—21no—
513C2×D4×C11C2×D411yescharacteristic
514C2×D4×C11C2×D411yescharacteristic
515C2×D4×C11C2×D411yescharacteristic
516C2×D4×C11C2411yescharacteristic
517C2×D4×C11C2411yescharacteristic
518C2×D4×C11C2411yescharacteristic
519C22×C4×C11—21no—
520C22×C4×C11—21no—
521C22×C4×C11—21no—
522C22×C4×C11—21no—
523C22×C4×C11—21no—
524C22×C4×C11—21no—
525C22×C4×C11—21no—
526C22×C4×C11—21no—
527C22×C4×C11—21no—
528C22×C4×C11—21no—
529C22×C4×C11—21no—
530C22×C4×C11C2×D411yescharacteristic
531C22×C4×C11C2×D411yescharacteristic
532C22×C4×C11C2411yescharacteristic
533C22×C4×C11C2411yescharacteristic
534C22×C4×C11C2411yescharacteristic
535C2×C22⋊D11—21no—
536C2×C22⋊D11—21no—
537C2×C22⋊D11—21no—
538C2×C22⋊D11—21no—
539C2×C22⋊D11—21no—
540C2×C22⋊D11—21no—
541C2×C22⋊D11—21no—
542C22×Dic11—21no—
543#4339—41no—
544#4339—41no—
545#4339—41no—
546#4339—41no—
547#4339—41no—
548#4339—41no—
549#4339—41no—
550#4339—41no—
551C2×D44—21no—
552C2×D44—21no—
553C2×D44—21no—
554C2×D44—21no—
555C2×D44—21no—
556C2×D44—41no—
557C2×D44—41no—
558C2×D44C2411yescharacteristic
559C2×D44C2411yescharacteristic
560C2×D44C2411yescharacteristic
561C2×C4×D11—21no—
562C2×C4×D11—21no—
563C2×C4×D11—21no—
564C2×C4×D11—21no—
565C2×C4×D11—21no—
566C2×C4×D11—21no—
567C2×C4×D11—21no—
568C2×Dic22—21no—
569C2×Dic22—41no—
570C2×Dic22—41no—
571C2×Dic22C2411yescharacteristic
572C2×Dic22C2411yescharacteristic
573C2×Dic22C2411yescharacteristic
574C11×C4⋊C4—21no—
575C11×C4⋊C4—21no—
576C11×C4⋊C4—21no—
577C11×C4⋊C4—21no—
578C11×C4⋊C4—21no—
579C11×C4⋊C4—21no—
580C11×C4⋊C4—21no—
581C11×C4⋊C4—21no—
582C11×C4⋊C4—21no—
583C11×C4⋊C4—21no—
584C11×C4⋊C4—21no—
585C11×C4⋊C4C2×D411yescharacteristic
586C11×C4⋊C4C2×D411yescharacteristic
587C11×C4⋊C4C2×D411yescharacteristic
588C11×C4⋊C4C2×D411yescharacteristic
589C11×C4⋊C4C2×D411yescharacteristic
590C11×C4⋊C4C2×D411yescharacteristic
591C11×C4⋊C4C2×D411yescharacteristic
592C11×C4⋊C4C2×D411yescharacteristic
593C11×C4⋊C4C2×D411yescharacteristic
594C11×C4⋊C4C2×D411yescharacteristic
595C11×C4⋊C4C2411yescharacteristic
596C11×C4⋊C4C2411yescharacteristic
597C11×C4⋊C4C2411yescharacteristic
598C11×C4⋊C4C2411yescharacteristic
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⋊C4—21no—
606C11×C22⋊C4—21no—
607C11×C22⋊C4—21no—
608C11×C22⋊C4—21no—
609C11×C22⋊C4—21no—
610C11×C22⋊C4—21no—
611C11×C22⋊C4—21no—
612C11×C22⋊C4C2×D411yescharacteristic
613C11×C22⋊C4C2×D411yescharacteristic
614C11×C22⋊C4C2×D411yescharacteristic
615C11×C22⋊C4C2×D411yescharacteristic
616C11×C22⋊C4C2×D411yescharacteristic
617C11×C22⋊C4C2×D411yescharacteristic
618C11×C22⋊C4C2×D411yescharacteristic
619C11×C22⋊C4C2×D411yescharacteristic
620C11×C22⋊C4C2×D411yescharacteristic
621C11×C22⋊C4C2×D411yescharacteristic
622C42×C11—21no—
623C42×C11—21no—
624C42×C11—21no—
625C42×C11—21no—
626C42×C11—21no—
627C42×C11C2×D411yescharacteristic
628C42×C11C2×D411yescharacteristic
629C42×C11C2411yescharacteristic
630C42×C11C2411yescharacteristic
631C42×C11C2411yescharacteristic
632C42×C11C2411yescharacteristic
633C22⋊Dic11—21no—
634C22⋊Dic11—21no—
635C22⋊Dic11—21no—
636#4326—22no—
637#4326—22no—
638#4326—22no—
639#4325—22no—
640#4325—22no—
641#4325—22no—
642#4324—41no—
643#4324—41no—
644#4324—41no—
645#4324—41no—
646#4324—41no—
647#4324—41no—
648#4324—41no—
649#4324—41no—
650#4324—41no—
651#4323—41no—
652#4323—41no—
653#4323—41no—
654#4323—41no—
655#4323—41no—
656#4323—41no—
657#4323—41no—
658#4323—41no—
659#4323—41no—
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—
667(C2×D11)⋊C4—21no—
668(C2×D11)⋊C4—21no—
669(C2×D11)⋊C4—21no—
670(C2×D11)⋊C4—21no—
671(C2×D11)⋊C4—21no—
672(C2×D11)⋊C4—21no—
673(C2×D11)⋊C4—21no—
674(C2×D11)⋊C4—21no—
675(C2×D11)⋊C4—21no—
676C4⋊Dic11—21no—
677C4⋊Dic11—21no—
678C4⋊Dic11—21no—
679C4⋊Dic11—21no—
680C4⋊Dic11C2411yescharacteristic
681C4⋊Dic11C2411yescharacteristic
682Dic11⋊C4—21no—
683Dic11⋊C4—21no—
684Dic11⋊C4—21no—
685Dic11⋊C4—21no—
686Dic11⋊C4—21no—
687Dic11⋊C4—21no—
688Dic11⋊C4—21no—
689Dic11⋊C4—21no—
690C4×Dic11—21no—
691C4×Dic11—21no—
692C4×Dic11—21no—
693#4318—41no—
694#4318—41no—
695C2×C11⋊C8—41no—
696C2×C11⋊C8—41no—
697C2×C11⋊C8—41no—
698C2×C11⋊C8—41no—
699C2×C11⋊C8C2411yescharacteristic
700C2×C11⋊C8C2411yescharacteristic
701C2×C11⋊C8C2411yescharacteristic
702C2×C11⋊C8C2411yescharacteristic
703C2×C11⋊C8C2411yescharacteristic
704C2×C11⋊C8C2411yescharacteristic
705C2×C11⋊C8C2411yescharacteristic
706C2×C11⋊C8C2411yescharacteristic
707#3562—111no—
708#3517D1111yescharacteristic, complemented
709#3399—111no—
710#3397—111no—
711#3377—111no—
712#3371—111no—
713#3309—111no—
714#3308—111no—
715#3307—111no—
716#3306—111no—
717#3301—111no—
718#3297—111no—
719#3287—111no—
720#3284—111no—
721#3271—111no—
722#3271—111no—
723#3268—111no—
724#3268—111no—
725#3260—111no—
726#3259—111no—
727#3247—111no—
728#3221—111no—
729#3220—111no—
730#3214—111no—
731#3120—111no—
732#3119—111no—
733#3111—111no—
734#3046—111no—
735#3045—111no—
736#3035—111no—
737#2992—111no—
738C23×C11—21no—
739C23×C11—21no—
740C23×C11—21no—
741C23×C11C22×D411yescharacteristic
742C23×C11C22×D411yescharacteristic
743C23×C11C22×D411yescharacteristic
744C22×D11—21no—
745C22×D11—21no—
746C22×D11—21no—
747C22×D11—81no—
748C22×D11—81no—
749C22×D11—81no—
750Q8×C11—21no—
751Q8×C11—41no—
752Q8×C11—42no—
753Q8×C11H(5,𝔽2)12yes—
754D4×C11—21no—
755D4×C11—21no—
756D4×C11—21no—
757D4×C11—21no—
758D4×C11—21no—
759D4×C11—21no—
760D4×C11—41no—
761D4×C11—41no—
762D4×C11—41no—
763D4×C11—42no—
764D4×C11—42no—
765D4×C11—42no—
766D4×C11—42no—
767D4×C11—81no—
768D4×C11—81no—
769D4×C11—81no—
770D4×C11—81no—
771D4×C11—81no—
772D4×C11—81no—
773D4×C11—81no—
774D4×C11—81no—
775D4×C11—81no—
776D4×C11—81no—
777D4×C11—81no—
778C2×C4×C11—21no—
779C2×C4×C11—21no—
780C2×C4×C11—21no—
781C2×C4×C11—21no—
782C2×C4×C11—21no—
783C2×C4×C11—21no—
784C2×C4×C11—21no—
785C2×C4×C11—21no—
786C2×C4×C11—21no—
787C2×C4×C11—21no—
788C2×C4×C11—21no—
789C2×C4×C11—41no—
790C2×C4×C11—41no—
791C2×C4×C11—42no—
792C2×C4×C11—42no—
793C2×C4×C11—42no—
794C2×C4×C11—42no—
795C2×C4×C11—81no—
796C2×C4×C11—81no—
797C2×C4×C11—81no—
798C2×C4×C11—81no—
799C2×C4×C11—81no—
800C2×C4×C11—81no—
801C2×C4×C11—81no—
802C2×C4×C11C22×D411yescharacteristic
803C2×C4×C11C22×D411yescharacteristic
804C2×C4×C11C22×D411yescharacteristic
805C2×C4×C11C22×D411yescharacteristic
806C2×C4×C11C22×D411yescharacteristic
807C2×C4×C11C22×D411yescharacteristic
808C2×C4×C11C22×D411yescharacteristic
809C2×C4×C11C22×D411yescharacteristic
810C2×C4×C11C22×D411yescharacteristic
811C2×C4×C11C22×D411yescharacteristic
812C2×C4×C11C22×D411yescharacteristic
813C2×C4×C11C2511yescharacteristic
814C22⋊D11—81no—
815C22⋊D11—81no—
816C22⋊D11—81no—
817C22⋊D11—81no—
818C22⋊D11—81no—
819C22⋊D11—81no—
820C22⋊D11—81no—
821C2×Dic11—21no—
822C2×Dic11—21no—
823C2×Dic11—21no—
824C2×Dic11—21no—
825C2×Dic11—21no—
826C2×Dic11—81no—
827D44—21no—
828D44—21no—
829D44—21no—
830D44—21no—
831D44—21no—
832D44—21no—
833D44—81no—
834D44—81no—
835D44—81no—
836D44—81no—
837D44—81no—
838C4×D11—81no—
839C4×D11—81no—
840C4×D11—81no—
841C4×D11—81no—
842C4×D11—81no—
843C4×D11—81no—
844C4×D11—81no—
845Dic22—21no—
846Dic22—21no—
847Dic22—21no—
848Dic22—21no—
849Dic22—21no—
850Dic22—21no—
851Dic22—81no—
852C11⋊C8—21no—
853C11⋊C8—21no—
854C11⋊C8—21no—
855C11⋊C8—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—
865C2×#135—111no—
866#562—221no—
867#560—221no—
868#559—111no—
869#557C2×D1111yescharacteristic, complemented
870#556—111no—
871#553—21no—
872#553—21no—
873#553—221no—
874#553C2×D1111yescharacteristic
875#553C2×D1111yescharacteristic, complemented
876#551—221no—
877#550—21no—
878#550—111no—
879#550C2×D1111yescharacteristic
880#550C2×D1111yescharacteristic
881#550C2×D1111yescharacteristic, complemented
882#550C2×D1111yescharacteristic, complemented
883#548—111no—
884#548—111no—
885#547—21no—
886#547—111no—
887#547C2×D1111yescharacteristic
888#546—111no—
889#546—111no—
890#541—111no—
891#540—21no—
892#540—21no—
893#540—111no—
894#540—221no—
895#540C2×D1111yescharacteristic
896#540C2×D1111yescharacteristic, complemented
897#539—221no—
898#538—221no—
899#538—221no—
900#536—111no—
901#535—111no—
902#532—21no—
903#532—111no—
904#532C2×D1111yescharacteristic, complemented
905#529—21no—
906#529—111no—
907#529C2×D1111yescharacteristic
908#520C2×D1111yescharacteristic
909#520C2×D1111yescharacteristic, complemented
910C4×#41C2×D1111yescharacteristic, complemented
911#496—111no—
912#496—111no—
913#496—111no—
914#496—111no—
915#493—111no—
916#492—111no—
917#491—111no—
918#490—111no—
919#489—111no—
920#489—111no—
921#488—111no—
922#488—111no—
923#485—111no—
924#484—111no—
925#483—111no—
926#482—111no—
927#481—111no—
928#480—111no—
929#479—111no—
930#479—111no—
931#479—111no—
932#478—111no—
933#478—111no—
934#478—111no—
935#478—111no—
936#478—111no—
937#477—111no—
938#476—111no—
939#469—111no—
940#469—111no—
941#468—111no—
942#468—111no—
943#466—111no—
944#466—111no—
945#466—111no—
946#466—111no—
947#465—111no—
948#465—111no—
949#465—111no—
950#465—111no—
951#464—111no—
952#464—111no—
953#464—111no—
954#464—111no—
955#464—111no—
956#463—111no—
957#463—111no—
958#463—111no—
959#463—111no—
960#463—111no—
961#463—111no—
962#463—111no—
963#462—111no—
964#462—111no—
965#461—111no—
966#461—111no—
967#461—111no—
968#461—111no—
969#460—111no—
970#460—111no—
971#460—111no—
972#460—111no—
973#460—111no—
974#459—111no—
975#459—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#449—111no—
985#449—111no—
986#449—111no—
987#449—111no—
988#449—111no—
989#449—111no—
990#449—111no—
991#449—111no—
992#449—111no—
993#449—111no—
994#449—111no—
995#448—111no—
996#448—111no—
997#447—111no—
998#447—111no—
999#446—111no—
1000#446—111no—
1001#442—111no—
1002#442—111no—
1003#441—111no—
1004#441—111no—
1005#440—111no—
1006#440—111no—
1007#440—111no—
1008#440—111no—
1009C4×Q16—111no—
1010C4×SD16—111no—
1011C4×SD16—111no—
1012C4×D8—111no—
1013#435—111no—
1014#435—111no—
1015#435—111no—
1016#435—111no—
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#417—111no—
1026#417—111no—
1027#416—111no—
1028#416—111no—
1029C2×#103—111no—
1030C2×#102—111no—
1031C22×C11—21no—
1032C22×C11—21no—
1033C22×C11—21no—
1034C22×C11—21no—
1035C22×C11—21no—
1036C22×C11—21no—
1037C22×C11—21no—
1038C22×C11—21no—
1039C22×C11—21no—
1040C22×C11—41no—
1041C22×C11—41no—
1042C22×C11—41no—
1043C22×C11—41no—
1044C22×C11—41no—
1045C22×C11—41no—
1046C22×C11—41no—
1047C22×C11—41no—
1048C22×C11—41no—
1049C22×C11C23×D411yescharacteristic
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—
1060C4×C11—21no—
1061C4×C11—21no—
1062C4×C11—21no—
1063C4×C11—21no—
1064C4×C11—21no—
1065C4×C11—21no—
1066C4×C11—21no—
1067C4×C11—21no—
1068C4×C11—21no—
1069C4×C11—21no—
1070C4×C11—21no—
1071C4×C11—22no—
1072C4×C11—41no—
1073C4×C11—41no—
1074C4×C11—41no—
1075C4×C11—41no—
1076C4×C11C2×H(5,𝔽2)11yescharacteristic
1077C4×C11#58511yescharacteristic
1078Dic11—41no—
1079Dic11—41no—
1080Dic11—41no—
1081Dic11—41no—
1082Dic11—41no—
1083C2×#41—21no—
1084C2×#41—21no—
1085C2×#41—21no—
1086C2×#41—111no—
1087C2×#41—111no—
1088C2×#41—111no—
1089C2×#41—111no—
1090C2×#41C22×D1111yescharacteristic
1091C2×#41C22×D1111yescharacteristic
1092C2×#41C22×D1111yescharacteristic
1093C22×Q8—111no—
1094C22×D4—111no—
1095#137—442no—
1096AGL(1,ℤ/8)—442no—
1097#135—442no—
1098#135—442no—
1099#135—442no—
1100#135—442no—
1101C2×Q16—111no—
1102C2×Q16—111no—
1103C2×Q16—111no—
1104C2×SD16—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—111no—
1116C2×D8—111no—
1117C2×D8—111no—
1118C2×D8—111no—
1119C2×D8—111no—
1120C2×D8—111no—
1121C2×D8—111no—
1122C2×D8—111no—
1123C2×D8—111no—
1124C2×D8—111no—
1125C2×M16—111no—
1126C2×M16—111no—
1127C22×C8—111no—
1128C22×C8—111no—
1129C22×C8—111no—
1130C22×C8—111no—
1131C4⋊Q8—21no—
1132C4⋊Q8—111no—
1133C4⋊Q8—111no—
1134C4⋊Q8C22×D1111yescharacteristic
1135#127—21no—
1136#127—21no—
1137#127—21no—
1138#127—111no—
1139#127—111no—
1140#127—221no—
1141#127C22×D1111yescharacteristic
1142#127C22×D1111yescharacteristic
1143#127C22×D1111yescharacteristic
1144#126—21no—
1145#126—21no—
1146#126—221no—
1147#126—221no—
1148#126—221no—
1149#126—221no—
1150#126—221no—
1151#126C22⋊D1111yescharacteristic
1152#126C22⋊D1111yescharacteristic
1153#125—21no—
1154#125—21no—
1155#125—111no—
1156#125—221no—
1157#125—221no—
1158#125C22⋊D1111yescharacteristic
1159#125C22×D1111yescharacteristic
1160#125C22×D1111yescharacteristic
1161#124—21no—
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#124C22⋊D1111yescharacteristic
1171#123—21no—
1172#123—21no—
1173#123—21no—
1174#123—21no—
1175#123—21no—
1176#123—21no—
1177#123—21no—
1178#123—21no—
1179#123—221no—
1180#123—221no—
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#123C22⋊D1111yescharacteristic
1191#123C22⋊D1111yescharacteristic
1192C22⋊Q8—21no—
1193C22⋊Q8—111no—
1194C22⋊Q8—111no—
1195C22⋊Q8—111no—
1196C22⋊Q8—221no—
1197C22⋊Q8—221no—
1198C22⋊Q8—221no—
1199C22⋊Q8—221no—
1200C22⋊Q8—221no—
1201C22⋊Q8C22⋊D1111yescharacteristic
1202#121—21no—
1203#121—21no—
1204#121—21no—
1205#121—21no—
1206#121—21no—
1207#121—21no—
1208#121—21no—
1209#121—21no—
1210#121—21no—
1211#121—21no—
1212#121—21no—
1213#121—21no—
1214#121—21no—
1215#121—21no—
1216#121—21no—
1217#121—21no—
1218#121—111no—
1219#121—111no—
1220#121—111no—
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#121C22⋊D1111yescharacteristic
1235#121C22×D1111yescharacteristic
1236#121C22×D1111yescharacteristic
1237#121C22×D1111yescharacteristic
1238#121C22×D1111yescharacteristic
1239#121C22×D1111yescharacteristic
1240#121C22×D1111yescharacteristic
1241#120—221no—
1242#120—221no—
1243#120—221no—
1244#120—221no—
1245C4×Q8—21no—
1246C4×Q8—111no—
1247C4×Q8—111no—
1248C4×Q8—111no—
1249C4×Q8C22×D1111yescharacteristic
1250C4×Q8C22×D1111yescharacteristic
1251C4×Q8C22×D1111yescharacteristic
1252C4×Q8C22×D1111yescharacteristic
1253C4×Q8C22×D1111yescharacteristic
1254C4×D4—21no—
1255C4×D4—21no—
1256C4×D4—21no—
1257C4×D4—21no—
1258C4×D4—21no—
1259C4×D4—21no—
1260C4×D4—21no—
1261C4×D4—21no—
1262C4×D4—21no—
1263C4×D4—21no—
1264C4×D4—21no—
1265C4×D4—21no—
1266C4×D4—111no—
1267C4×D4—111no—
1268C4×D4—111no—
1269C4×D4—221no—
1270C4×D4—221no—
1271C4×D4—221no—
1272C4×D4—221no—
1273C4×D4—221no—
1274C4×D4—221no—
1275C4×D4—221no—
1276C4×D4C22×D1111yescharacteristic
1277C4×D4C22×D1111yescharacteristic
1278C4×D4C22×D1111yescharacteristic
1279C4×D4C22×D1111yescharacteristic
1280C4×D4C22×D1111yescharacteristic
1281C4×D4C22×D1111yescharacteristic
1282C4×D4C22×D1111yescharacteristic
1283C4×D4C22×D1111yescharacteristic
1284C4×D4C22×D1111yescharacteristic
1285#117—21no—
1286#117—21no—
1287#117—21no—
1288#117—221no—
1289#117—221no—
1290#117C22×D1111yescharacteristic
1291#117C22×D1111yescharacteristic
1292#117C22×D1111yescharacteristic
1293C2×C4⋊C4—21no—
1294C2×C4⋊C4—21no—
1295C2×C4⋊C4—221no—
1296C2×C4⋊C4C22×D1111yescharacteristic
1297C2×C4⋊C4C22×D1111yescharacteristic
1298C2×C22⋊C4—221no—
1299C2×C22⋊C4—221no—
1300C2×C42—21no—
1301C2×C42C22×D1111yescharacteristic
1302#107—111no—
1303#107—111no—
1304#107—111no—
1305#107—111no—
1306#106—111no—
1307#106—111no—
1308#106—111no—
1309#106—111no—
1310C4⋊C8—111no—
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—
1320#103—111no—
1321#103—111no—
1322#103—111no—
1323#103—111no—
1324#103—111no—
1325#103—111no—
1326#103—111no—
1327#103—111no—
1328#103—111no—
1329#103—111no—
1330#103—111no—
1331#103—111no—
1332#103—111no—
1333#103—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#102—111no—
1350#102—111no—
1351#102—111no—
1352C22⋊C8—111no—
1353C22⋊C8—111no—
1354C22⋊C8—111no—
1355C22⋊C8—111no—
1356C22⋊C8—111no—
1357C22⋊C8—111no—
1358#97—111no—
1359#97—111no—
1360#97—111no—
1361#97—111no—
1362C4×C8—111no—
1363C4×C8—111no—
1364C2×C11—41no—
1365C2×C11—41no—
1366C2×C11—41no—
1367C2×C11—81no—
1368C2×C11—81no—
1369C2×C11—81no—
1370C2×C11#348811yescharacteristic
1371C2×C11#358411yescharacteristic
1372C2×C11#358511yescharacteristic
1373D11—81no—
1374D11—81no—
1375D11—81no—
1376C24—221no—
1377#41—22no—
1378#41—22no—
1379#41—22no—
1380#41—41no—
1381#41—41no—
1382#41—41no—
1383#41—82no—
1384#41—82no—
1385#41—82no—
1386#41—441no—
1387#41—441no—
1388#41—441no—
1389#41—441no—
1390#41—441no—
1391#41—441no—
1392#41—441no—
1393#41—441no—
1394C2×Q8—21no—
1395C2×Q8—111no—
1396C2×Q8—111no—
1397C2×Q8—111no—
1398C2×Q8—221no—
1399C2×Q8—441no—
1400C2×Q8—441no—
1401C2×Q8C2×C22⋊D1111yescharacteristic
1402C2×Q8C23×D1111yescharacteristic
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—21no—
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—111no—
1419C2×D4—111no—
1420C2×D4—111no—
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—441no—
1434C2×D4—441no—
1435C2×D4C2×C22⋊D1111yescharacteristic
1436C2×D4C2×C22⋊D1111yescharacteristic
1437C2×D4C2×C22⋊D1111yescharacteristic
1438C2×D4C23×D1111yescharacteristic
1439C2×D4C23×D1111yescharacteristic
1440C2×D4C23×D1111yescharacteristic
1441C22×C4—21no—
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—21no—
1448C22×C4—21no—
1449C22×C4—21no—
1450C22×C4—21no—
1451C22×C4—21no—
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×C4C2×C22⋊D1111yescharacteristic
1461C22×C4C2×C22⋊D1111yescharacteristic
1462C22×C4C23×D1111yescharacteristic
1463C22×C4C23×D1111yescharacteristic
1464C22×C4C23×D1111yescharacteristic
1465Q16—222no—
1466Q16—222no—
1467Q16—222no—
1468SD16—222no—
1469SD16—222no—
1470SD16—222no—
1471SD16—441no—
1472SD16—441no—
1473SD16—441no—
1474SD16—441no—
1475SD16—441no—
1476SD16—441no—
1477SD16—441no—
1478SD16—441no—
1479SD16—441no—
1480D8—441no—
1481D8—441no—
1482D8—441no—
1483D8—441no—
1484D8—441no—
1485D8—441no—
1486D8—441no—
1487D8—441no—
1488D8—441no—
1489M16—441no—
1490M16—441no—
1491C2×C8—111no—
1492C2×C8—111no—
1493C2×C8—111no—
1494C2×C8—111no—
1495C2×C8—111no—
1496C2×C8—111no—
1497C2×C8—111no—
1498C2×C8—111no—
1499C2×C8—441no—
1500C2×C8—441no—
1501C2×C8—441no—
1502C2×C8—441no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—21no—
1510C4⋊C4—21no—
1511C4⋊C4—21no—
1512C4⋊C4—21no—
1513C4⋊C4—21no—
1514C4⋊C4—111no—
1515C4⋊C4—111no—
1516C4⋊C4—221no—
1517C4⋊C4—221no—
1518C4⋊C4—221no—
1519C4⋊C4—221no—
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⋊C4C2×C22⋊D1111yescharacteristic
1529C4⋊C4C2×C22⋊D1111yescharacteristic
1530C4⋊C4C2×C22⋊D1111yescharacteristic
1531C4⋊C4C2×C22⋊D1111yescharacteristic
1532C4⋊C4C2×C22⋊D1111yescharacteristic
1533C4⋊C4C2×C22⋊D1111yescharacteristic
1534C4⋊C4C2×C22⋊D1111yescharacteristic
1535C4⋊C4C2×C22⋊D1111yescharacteristic
1536C4⋊C4C2×C22⋊D1111yescharacteristic
1537C4⋊C4C2×C22⋊D1111yescharacteristic
1538C4⋊C4C23×D1111yescharacteristic
1539C4⋊C4C23×D1111yescharacteristic
1540C4⋊C4C23×D1111yescharacteristic
1541C4⋊C4C23×D1111yescharacteristic
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
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⋊C4C2×C22⋊D1111yescharacteristic
1575C22⋊C4C2×C22⋊D1111yescharacteristic
1576C22⋊C4C2×C22⋊D1111yescharacteristic
1577C22⋊C4C2×C22⋊D1111yescharacteristic
1578C22⋊C4C2×C22⋊D1111yescharacteristic
1579C22⋊C4C2×C22⋊D1111yescharacteristic
1580C22⋊C4C2×C22⋊D1111yescharacteristic
1581C22⋊C4C2×C22⋊D1111yescharacteristic
1582C22⋊C4C2×C22⋊D1111yescharacteristic
1583C22⋊C4C2×C22⋊D1111yescharacteristic
1584C42—21no—
1585C42—21no—
1586C42—21no—
1587C42—21no—
1588C42—21no—
1589C42—221no—
1590C42—221no—
1591C42—221no—
1592C42C2×C22⋊D1111yescharacteristic
1593C42C2×C22⋊D1111yescharacteristic
1594C42C23×D1111yescharacteristic
1595C42C23×D1111yescharacteristic
1596C42C23×D1111yescharacteristic
1597C42C23×D1111yescharacteristic
1598C11#6201411yescharacteristic, complemented, Sylow
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—221no—
1603C23—221no—
1604C23—221no—
1605C23—881no—
1606C23—881no—
1607C23—881no—
1608C23C22×C22⋊D1111yescharacteristic
1609C23C22×C22⋊D1111yescharacteristic
1610C23C22×C22⋊D1111yescharacteristic
1611Q8—21no—
1612Q8—41no—
1613Q8—42no—
1614Q8—221no—
1615Q8—221no—
1616Q8—221no—
1617Q8—221no—
1618Q8—221no—
1619Q8—221no—
1620Q8—881no—
1621Q8#6704212yes—
1622D4—21no—
1623D4—21no—
1624D4—21no—
1625D4—21no—
1626D4—21no—
1627D4—21no—
1628D4—41no—
1629D4—41no—
1630D4—41no—
1631D4—42no—
1632D4—42no—
1633D4—42no—
1634D4—42no—
1635D4—81no—
1636D4—81no—
1637D4—81no—
1638D4—81no—
1639D4—81no—
1640D4—81no—
1641D4—81no—
1642D4—81no—
1643D4—81no—
1644D4—81no—
1645D4—81no—
1646D4—221no—
1647D4—221no—
1648D4—221no—
1649D4—221no—
1650D4—221no—
1651D4—221no—
1652D4—881no—
1653D4—881no—
1654D4—881no—
1655D4—881no—
1656D4—881no—
1657D4—881no—
1658D4—881no—
1659D4—881no—
1660D4—881no—
1661D4—881no—
1662D4—881no—
1663D4—881no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—41no—
1676C2×C4—41no—
1677C2×C4—42no—
1678C2×C4—42no—
1679C2×C4—42no—
1680C2×C4—42no—
1681C2×C4—81no—
1682C2×C4—81no—
1683C2×C4—81no—
1684C2×C4—81no—
1685C2×C4—81no—
1686C2×C4—81no—
1687C2×C4—81no—
1688C2×C4—221no—
1689C2×C4—221no—
1690C2×C4—221no—
1691C2×C4—221no—
1692C2×C4—221no—
1693C2×C4—881no—
1694C2×C4—881no—
1695C2×C4—881no—
1696C2×C4—881no—
1697C2×C4—881no—
1698C2×C4—881no—
1699C2×C4—881no—
1700C2×C4—881no—
1701C2×C4C22×C22⋊D1111yescharacteristic
1702C2×C4C22×C22⋊D1111yescharacteristic
1703C2×C4C22×C22⋊D1111yescharacteristic
1704C2×C4C22×C22⋊D1111yescharacteristic
1705C2×C4C22×C22⋊D1111yescharacteristic
1706C2×C4C22×C22⋊D1111yescharacteristic
1707C2×C4C22×C22⋊D1111yescharacteristic
1708C2×C4C22×C22⋊D1111yescharacteristic
1709C2×C4C22×C22⋊D1111yescharacteristic
1710C2×C4C22×C22⋊D1111yescharacteristic
1711C2×C4C22×C22⋊D1111yescharacteristic
1712C2×C4C24×D1111yescharacteristic
1713C8—221no—
1714C8—221no—
1715C8—221no—
1716C8—221no—
1717C8—221no—
1718C8—221no—
1719C8—221no—
1720C8—221no—
1721C22—21no—
1722C22—21no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—21no—
1727C22—21no—
1728C22—21no—
1729C22—21no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—441no—
1740C22—441no—
1741C22—441no—
1742C22—441no—
1743C22—441no—
1744C22—441no—
1745C22—441no—
1746C22—441no—
1747C22—441no—
1748C22—1762no—
1749C22C23×C22⋊D1111yescharacteristic
1750C4—21no—
1751C4—21no—
1752C4—21no—
1753C4—21no—
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—22no—
1758C4—21no—
1759C4—21no—
1760C4—21no—
1761C4—21no—
1762C4—41no—
1763C4—41no—
1764C4—41no—
1765C4—41no—
1766C4—441no—
1767C4—441no—
1768C4—441no—
1769C4—441no—
1770C4—441no—
1771C4C2×#6704211yescharacteristic
1772C4#1062345311yescharacteristic
1773C2—41no—
1774C2—41no—
1775C2—41no—
1776C2—81no—
1777C2—81no—
1778C2—81no—
1779C2—881no—
1780C2—881no—
1781C2—881no—
1782C2#1308228511yescharacteristic
1783C2#1308338711yescharacteristic
1784C2#1308339611yescharacteristic
subgroupG/H
centerC22C23×C22⋊D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3517C2
socleC22×C11C23×D4
hypercenter#3517D11
hypocenterC11#62014
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ #529 ◁ #3517

Complements

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

NH ≅ G/Ntype
1. #13083204C2semidirect
2. #13081658C2semidirect
3. #13081632C2semidirect
4. #13081458C2semidirect
5. #13081384C2semidirect
6. #13080616C2semidirect
7. #13080601C2semidirect
8. #13080586C2semidirect
9. #13080571C2semidirect
10. #13080512C2semidirect
11. #13080460C2semidirect
12. #13080372C2semidirect
13. #13080346C2semidirect
14. #13080197C2semidirect
15. #13080197C2semidirect
16. #13080157C2semidirect
17. #13080157C2semidirect
18. #13080062C2semidirect
19. #13080051C2semidirect
20. #13079936C2semidirect
21. #13079671C2semidirect
22. #13079660C2semidirect
23. #13079607C2semidirect
24. #13078830C2semidirect
25. #13078815C2semidirect
26. #13078725C2semidirect
27. #13078166C2semidirect
28. #13078155C2semidirect
29. #13078071C2semidirect
30. #13077755C2semidirect
31. C11×#3517C2semidirect
32. C11×#557C22semidirect
36. C11×#553C22semidirect
40. C11×#550C22semidirect
41. C11×#550C22semidirect
47. C11×#540C22semidirect
49. C11×#532C22semidirect
53. C11×#520C22semidirect
54. C4×C11×#41C22semidirect
55. C2×#67004C22semidirect
59. C2×#67003C22semidirect
85. #10622852C22semidirect
88. #10622851C22semidirect
89. #10622704C22semidirect
91. #10622702C22semidirect
93. #10622689C22semidirect
94. #10622688C22semidirect
95. #10622688C22semidirect
96. #10622688C22semidirect
100. #10622687C22semidirect
104. #10622685C22semidirect
105. #10622682C22semidirect
110. #10622679C22semidirect
111. #10622676C22semidirect
112. #10622676C22semidirect
117. #10622654C22semidirect
118. #10622654C22semidirect
119. #10622653C22semidirect
120. #10622653C22semidirect
122. #10622652C22semidirect
126. #10622651C22semidirect
133. #10622650C22semidirect
134. #10622650C22semidirect
137. #10622644C22semidirect
138. #10622644C22semidirect
139. #10622643C22semidirect
140. #10622643C22semidirect
141. C4×#4326C22semidirect
146. #10622641C22semidirect
151. C4×#4325C22semidirect
152. #10622637C22semidirect
153. #10622637C22semidirect
154. #10622635C22semidirect
155. #10622632C22semidirect
156. #10622632C22semidirect
157. #10622632C22semidirect
158. #10622632C22semidirect
159. #10622631C22semidirect
160. #10622631C22semidirect
161. C4×#4324C22semidirect
168. #10622629C22semidirect
174. #10622627C22semidirect
179. #10622624C22semidirect
181. D4×C11⋊C8C22semidirect
182. #10622622C22semidirect
183. #10622622C22semidirect
184. #10622622C22semidirect
187. #10622615C22semidirect
189. #10622613C22semidirect
191. #10622612C22semidirect
192. #10622609C22semidirect
195. C2×#66874C22semidirect
197. #10622580C22semidirect
201. #10622539C22semidirect
202. C2×C4⋊(C11⋊C8)C22semidirect
708. #3517D11semidirect
869. #557C2×D11semidirect
875. #553C2×D11semidirect
881. #550C2×D11semidirect
882. #550C2×D11semidirect
896. #540C2×D11semidirect
904. #532C2×D11semidirect
909. #520C2×D11semidirect
910. C4×#41C2×D11semidirect
1598. C11#62014semidirect

Maximal subgroups

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

subgroupindex
#130832042
#130816582
#130816322
#130814582
#130813842
#130806162
#130806012
#130805862
#130805712
#130805122
#130804602
#130803722
#130803462
#130801972
#130801572
#130800622
#130800512
#130799362
#130796712
#130796602
#130796072
#130788302
#130788152
#130787252
#130781662
#130781552
#130780712
#130777552
C11×#35172
#6201411