Finite Group Databasebeta

← #15650669

Subgroups — #15650669

Order 2816.

1702 conjugacy classes of subgroups.

The subgroup lattice has 1664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082620C211yesmaximal, characteristic, complemented
2#13081579C211yesmaximal, characteristic, complemented
3#13081561C211yesmaximal, characteristic, complemented
4#13081345C211yesmaximal, characteristic, complemented
5#13081323C211yesmaximal, characteristic, complemented
6#13081161C211yesmaximal, characteristic, complemented
7#13081116C211yesmaximal, characteristic, complemented
8#13081080C211yesmaximal, characteristic, complemented
9#13081056C211yesmaximal, characteristic, complemented
10#13081012C211yesmaximal, characteristic, complemented
11#13080995C211yesmaximal, characteristic, complemented
12#13080736C211yesmaximal, characteristic, complemented
13#13080736C211yesmaximal, characteristic, complemented
14#13080616C211yesmaximal, characteristic, complemented
15#13080616C211yesmaximal, characteristic, complemented
16#13080560C211yesmaximal, characteristic, complemented
17#13080549C211yesmaximal, characteristic, complemented
18#13080027C211yesmaximal, characteristic, complemented
19#13080027C211yesmaximal, characteristic, complemented
20#13079942C211yesmaximal, characteristic, complemented
21#13079869C211yesmaximal, characteristic, complemented
22#13079869C211yesmaximal, characteristic, complemented
23#13079814C211yesmaximal, characteristic, complemented
24#13078887C211yesmaximal, characteristic, complemented
25#13078872C211yesmaximal, characteristic, complemented
26#13078719C211yesmaximal, characteristic, complemented
27#13078474C211yesmaximal, characteristic, complemented
28#13078463C211yesmaximal, characteristic, complemented
29#13078398C211yesmaximal, characteristic, complemented
30#13077755C211yesmaximal, characteristic, complemented
31C11×#3565C211yesmaximal, characteristic, complemented
32C11×#563—21no—
33C11×#562—21no—
34C11×#557C2211yescharacteristic
35C11×#556—21no—
36C11×#556C2211yescharacteristic
37C11×#555C2211yescharacteristic
38C11×#554C2211yescharacteristic
39C11×#553C2211yescharacteristic
40C11×#553C2211yescharacteristic
41C11×#552—21no—
42C11×#552C2211yescharacteristic
43C11×#552C2211yescharacteristic
44C11×#544C2211yescharacteristic
45C11×#544C2211yescharacteristic
46C11×#542—21no—
47C11×#542—21no—
48C11×#542C2211yescharacteristic
49C11×#542C2211yescharacteristic
50C11×#541—21no—
51C11×#539—21no—
52C11×#533C2211yescharacteristic
53C11×#529C2211yescharacteristic
54C11×#529C2211yescharacteristic
55#10623240—21no—
56#10623240—21no—
57#10623222—21no—
58#10623199—21no—
59#10623194—21no—
60#10623194—21no—
61#10623162—21no—
62#10623130—21no—
63#10623108C2211yescharacteristic
64#10623098C2211yescharacteristic
65#10623096C2211yescharacteristic
66#10623096C2211yescharacteristic
67#10623086C2211yescharacteristic
68#10623084C2211yescharacteristic
69#10623084C2211yescharacteristic
70#10623084C2211yescharacteristic
71#10623066C2211yescharacteristic
72#10623066C2211yescharacteristic
73#10623054C2211yescharacteristic
74#10623054C2211yescharacteristic
75#10623008C2211yescharacteristic
76C4×#4339C2211yescharacteristic
77#10622707C2211yescharacteristic
78#10622707C2211yescharacteristic
79#10622704C2211yescharacteristic
80#10622704C2211yescharacteristic
81#10622701C2211yescharacteristic
82#10622701C2211yescharacteristic
83#10622700C2211yescharacteristic
84#10622700C2211yescharacteristic
85#10622700C2211yescharacteristic
86#10622700C2211yescharacteristic
87#10622697C2211yescharacteristic
88#10622697C2211yescharacteristic
89#10622697C2211yescharacteristic
90#10622697C2211yescharacteristic
91#10622693C2211yescharacteristic
92#10622693C2211yescharacteristic
93#10622680C2211yescharacteristic
94#10622680C2211yescharacteristic
95#10622680C2211yescharacteristic
96#10622680C2211yescharacteristic
97#10622679C2211yescharacteristic
98#10622679C2211yescharacteristic
99#10622679C2211yescharacteristic
100#10622679C2211yescharacteristic
101#10622679C2211yescharacteristic
102#10622679C2211yescharacteristic
103#10622679C2211yescharacteristic
104#10622678C2211yescharacteristic
105#10622678C2211yescharacteristic
106#10622677C2211yescharacteristic
107#10622677C2211yescharacteristic
108#10622676C2211yescharacteristic
109#10622676C2211yescharacteristic
110#10622676C2211yescharacteristic
111#10622676C2211yescharacteristic
112#10622676C2211yescharacteristic
113#10622670C2211yescharacteristic
114#10622670C2211yescharacteristic
115#10622670C2211yescharacteristic
116#10622667C2211yescharacteristic
117#10622662C2211yescharacteristic
118#10622662C2211yescharacteristic
119#10622661C2211yescharacteristic
120#10622661C2211yescharacteristic
121#10622661C2211yescharacteristic
122#10622661C2211yescharacteristic
123#10622660C2211yescharacteristic
124#10622660C2211yescharacteristic
125#10622660C2211yescharacteristic
126#10622658C2211yescharacteristic
127#10622657C2211yescharacteristic
128#10622656C2211yescharacteristic
129#10622652C2211yescharacteristic
130#10622652C2211yescharacteristic
131#10622651C2211yescharacteristic
132#10622651C2211yescharacteristic
133#10622651C2211yescharacteristic
134#10622651C2211yescharacteristic
135#10622650C2211yescharacteristic
136#10622650C2211yescharacteristic
137#10622650C2211yescharacteristic
138#10622648C2211yescharacteristic
139#10622647C2211yescharacteristic
140#10622646C2211yescharacteristic
141#10622643C2211yescharacteristic
142#10622643C2211yescharacteristic
143C4×#4326C2211yescharacteristic
144#10622640C2211yescharacteristic
145#10622640C2211yescharacteristic
146#10622640C2211yescharacteristic
147#10622639C2211yescharacteristic
148#10622639C2211yescharacteristic
149C4×#4325C2211yescharacteristic
150#10622637C2211yescharacteristic
151#10622637C2211yescharacteristic
152#10622635C2211yescharacteristic
153#10622635C2211yescharacteristic
154#10622634C2211yescharacteristic
155#10622631C2211yescharacteristic
156#10622631C2211yescharacteristic
157C4×#4324C2211yescharacteristic
158#10622628C2211yescharacteristic
159#10622628C2211yescharacteristic
160#10622628C2211yescharacteristic
161#10622627C2211yescharacteristic
162#10622627C2211yescharacteristic
163C4×#4323C2211yescharacteristic
164#10622624C2211yescharacteristic
165#10622624C2211yescharacteristic
166#10622624C2211yescharacteristic
167#10622624C2211yescharacteristic
168D4×C11⋊C8C2211yescharacteristic
169D4×C11⋊C8C2211yescharacteristic
170#10622622C2211yescharacteristic
171#10622622C2211yescharacteristic
172#10622621C2211yescharacteristic
173#10622616C2211yescharacteristic
174#10622616C2211yescharacteristic
175#10622616C2211yescharacteristic
176#10622616C2211yescharacteristic
177#10622616C2211yescharacteristic
178#10622616C2211yescharacteristic
179#10622616C2211yescharacteristic
180#10622616C2211yescharacteristic
181#10622615C2211yescharacteristic
182#10622615C2211yescharacteristic
183#10622615C2211yescharacteristic
184#10622615C2211yescharacteristic
185#10622613C2211yescharacteristic
186#10622613C2211yescharacteristic
187#10622612C2211yescharacteristic
188#10622612C2211yescharacteristic
189#10622611C2211yescharacteristic
190#10622611C2211yescharacteristic
191#10622608C2211yescharacteristic
192#10622608C2211yescharacteristic
193#10622581C2211yescharacteristic
194#10622581C2211yescharacteristic
195#10622580C2211yescharacteristic
196#10622580C2211yescharacteristic
197#10622579C2211yescharacteristic
198#10622579C2211yescharacteristic
199C2×#66872C2211yescharacteristic
200C2×#66871C2211yescharacteristic
201#10622539C2211yescharacteristic
202C2×C4⋊(C11⋊C8)C2211yescharacteristic
203C2×#4343—21no—
204C2×#4341—21no—
205C2×#4339—21no—
206C2×#4339C2311yescharacteristic
207C2×#4339C2311yescharacteristic
208C2×#4339C2311yescharacteristic
209C11×C4⋊Q8—21no—
210C11×C4⋊Q8—21no—
211C11×C4⋊Q8—21no—
212C11×C4⋊Q8C2311yescharacteristic
213C11×C4⋊Q8C2311yescharacteristic
214C11×C4⋊Q8C2311yescharacteristic
215C11×C4⋊Q8C2311yescharacteristic
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×#126—21no—
225C11×#126D411yescharacteristic
226C11×#126D411yescharacteristic
227C11×#125—21no—
228C11×#125—21no—
229C11×#125—21no—
230C11×#125—21no—
231C11×#125—21no—
232C11×#125—21no—
233C11×#125D411yescharacteristic
234C11×#125C2311yescharacteristic
235C11×#125C2311yescharacteristic
236C11×#125C2311yescharacteristic
237C11×#125C2311yescharacteristic
238C11×#125C2311yescharacteristic
239C11×#124—21no—
240C11×#124—21no—
241C11×#124—21no—
242C11×#124—21no—
243C11×#124—21no—
244C11×#124D411yescharacteristic
245C11×#124C2311yescharacteristic
246C11×#123—21no—
247C11×#123—21no—
248C11×#123—21no—
249C11×#123—21no—
250C11×#123—21no—
251C11×#123—21no—
252C11×#123—21no—
253C11×#123D411yescharacteristic
254C11×#123D411yescharacteristic
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⋊Q8D411yescharacteristic
267C11×C22⋊Q8C2311yescharacteristic
268C11×C22⋊Q8C2311yescharacteristic
269C11×C22⋊Q8C2311yescharacteristic
270C11×#121—21no—
271C11×#121—21no—
272C11×#121—21no—
273C11×#121D411yescharacteristic
274C11×#121C2311yescharacteristic
275C11×#121C2311yescharacteristic
276C11×#121C2311yescharacteristic
277C4×Q8×C11—21no—
278C4×Q8×C11—21no—
279C4×Q8×C11—21no—
280C4×Q8×C11—21no—
281C4×Q8×C11C2311yescharacteristic
282C4×Q8×C11C2311yescharacteristic
283C4×Q8×C11C2311yescharacteristic
284C4×Q8×C11C2311yescharacteristic
285C4×D4×C11—21no—
286C4×D4×C11—21no—
287C4×D4×C11—21no—
288C4×D4×C11C2311yescharacteristic
289C4×D4×C11C2311yescharacteristic
290C4×D4×C11C2311yescharacteristic
291C4×D4×C11C2311yescharacteristic
292C4×D4×C11C2311yescharacteristic
293C4×D4×C11C2311yescharacteristic
294C11×#117—21no—
295C11×#117—21no—
296C11×#117—21no—
297C11×#117—21no—
298C11×#117C2311yescharacteristic
299C11×#117C2311yescharacteristic
300C11×#117C2311yescharacteristic
301C11×#117C2311yescharacteristic
302C11×#117C2311yescharacteristic
303C11×#117C2311yescharacteristic
304C2×C11×C4⋊C4—21no—
305C2×C11×C4⋊C4C2311yescharacteristic
306C2×C11×C4⋊C4C2311yescharacteristic
307C2×C42×C11C2311yescharacteristic
308#66997—21no—
309C2×#4326C2311yescharacteristic
310C2×#4325C2311yescharacteristic
311C2×#4325C2311yescharacteristic
312C2×#4325C2311yescharacteristic
313#66993—21no—
314#66993—21no—
315#66993—21no—
316#66992—21no—
317#66992—21no—
318C2×#4324C2311yescharacteristic
319C2×#4323C2311yescharacteristic
320C2×#4323C2311yescharacteristic
321C2×#4323C2311yescharacteristic
322#66983—21no—
323#66983C2311yescharacteristic
324#66983C2311yescharacteristic
325#66983C2311yescharacteristic
326#66983C2311yescharacteristic
327#66983C2311yescharacteristic
328#66983C2311yescharacteristic
329C4×C22⋊D11—21no—
330C4×C22⋊D11—21no—
331#66979C2311yescharacteristic
332C2×C4⋊Dic11C2311yescharacteristic
333C2×C4⋊Dic11C2311yescharacteristic
334C2×#4318C2311yescharacteristic
335C2×#4318C2311yescharacteristic
336C22×C11⋊C8C2311yescharacteristic
337C22×C11⋊C8C2311yescharacteristic
338C22×C11⋊C8C2311yescharacteristic
339C22×C11⋊C8C2311yescharacteristic
340#66951—21no—
341#66951—21no—
342#66950—21no—
343#66948—21no—
344#66948—21no—
345#66948—21no—
346#66947—21no—
347#66947—21no—
348#66947—21no—
349#66947—21no—
350#66946—21no—
351#66946—21no—
352#66946—21no—
353#66945—21no—
354#66945—21no—
355C4⋊C4×D11—21no—
356C4⋊C4×D11—21no—
357#66942—21no—
358#66942—21no—
359#66940—21no—
360#66939—21no—
361#66939—21no—
362#66937—21no—
363#66937—21no—
364#66937—21no—
365#66937—21no—
366#66937—21no—
367#66937—21no—
368#66937—21no—
369#66937—21no—
370#66937—21no—
371#66937—21no—
372#66936—21no—
373#66936—21no—
374(C22⋊D11)⋊C4—21no—
375(C22⋊D11)⋊C4—21no—
376(C22⋊D11)⋊C4—21no—
377(C22⋊D11)⋊C4—21no—
378(C22⋊D11)⋊C4—21no—
379(C22⋊D11)⋊C4—21no—
380#66928—21no—
381#66927C2311yescharacteristic
382#66927C2311yescharacteristic
383#66927C2311yescharacteristic
384C4×D44—21no—
385C4×D44C2311yescharacteristic
386C4×D44C2311yescharacteristic
387C4×D44C2311yescharacteristic
388C4×D44C2311yescharacteristic
389C4×D44C2311yescharacteristic
390C4×D44C2311yescharacteristic
391#66925—21no—
392C42×D11—21no—
393#66923C2311yescharacteristic
394#66923C2311yescharacteristic
395#66922C2311yescharacteristic
396C4×Dic22C2311yescharacteristic
397C4×Dic22C2311yescharacteristic
398C4×Dic22C2311yescharacteristic
399C4×Dic22C2311yescharacteristic
400#66899C2311yescharacteristic
401#66899C2311yescharacteristic
402#66899C2311yescharacteristic
403#66899C2311yescharacteristic
404#66896C2311yescharacteristic
405#66896C2311yescharacteristic
406#66896C2311yescharacteristic
407#66896C2311yescharacteristic
408C22⋊(C11⋊C8)C2311yescharacteristic
409C22⋊(C11⋊C8)C2311yescharacteristic
410C22⋊(C11⋊C8)C2311yescharacteristic
411C22⋊(C11⋊C8)C2311yescharacteristic
412C22⋊(C11⋊C8)C2311yescharacteristic
413C22⋊(C11⋊C8)C2311yescharacteristic
414#66874C2311yescharacteristic
415#66874C2311yescharacteristic
416#66874C2311yescharacteristic
417#66874C2311yescharacteristic
418#66874C2311yescharacteristic
419#66874C2311yescharacteristic
420#66873C2311yescharacteristic
421#66873C2311yescharacteristic
422#66873C2311yescharacteristic
423#66873C2311yescharacteristic
424#66873C2311yescharacteristic
425#66873C2311yescharacteristic
426#66873C2311yescharacteristic
427#66873C2311yescharacteristic
428#66873C2311yescharacteristic
429#66873C2311yescharacteristic
430#66873C2311yescharacteristic
431#66873C2311yescharacteristic
432#66873C2311yescharacteristic
433#66873C2311yescharacteristic
434#66873C2311yescharacteristic
435#66873C2311yescharacteristic
436#66873C2311yescharacteristic
437#66873C2311yescharacteristic
438#66872C2311yescharacteristic
439#66872C2311yescharacteristic
440#66872C2311yescharacteristic
441#66872C2311yescharacteristic
442#66872C2311yescharacteristic
443#66872C2311yescharacteristic
444#66872C2311yescharacteristic
445#66872C2311yescharacteristic
446#66872C2311yescharacteristic
447#66872C2311yescharacteristic
448#66872C2311yescharacteristic
449#66872C2311yescharacteristic
450#66871C2311yescharacteristic
451#66871C2311yescharacteristic
452#66871C2311yescharacteristic
453#66871C2311yescharacteristic
454#66871C2311yescharacteristic
455#66871C2311yescharacteristic
456#66871C2311yescharacteristic
457#66871C2311yescharacteristic
458#66871C2311yescharacteristic
459#66871C2311yescharacteristic
460#66871C2311yescharacteristic
461#66871C2311yescharacteristic
462C4⋊(C11⋊C8)C2311yescharacteristic
463C4⋊(C11⋊C8)C2311yescharacteristic
464C4⋊(C11⋊C8)C2311yescharacteristic
465C4⋊(C11⋊C8)C2311yescharacteristic
466C4⋊(C11⋊C8)C2311yescharacteristic
467C4⋊(C11⋊C8)C2311yescharacteristic
468C4⋊(C11⋊C8)C2311yescharacteristic
469C4⋊(C11⋊C8)C2311yescharacteristic
470C4⋊(C11⋊C8)C2311yescharacteristic
471C4⋊(C11⋊C8)C2311yescharacteristic
472#66867C2311yescharacteristic
473#66867C2311yescharacteristic
474#66867C2311yescharacteristic
475#66867C2311yescharacteristic
476C4×C11⋊C8C2311yescharacteristic
477C4×C11⋊C8C2311yescharacteristic
478#62162—111nomaximal, Sylow
479C2×Q8×C11—21no—
480C2×Q8×C11—21no—
481C2×Q8×C11—21no—
482C2×Q8×C11—21no—
483C2×Q8×C11C2×D411yescharacteristic
484C2×Q8×C11C2411yescharacteristic
485C2×D4×C11—21no—
486C2×D4×C11—21no—
487C2×D4×C11—21no—
488C2×D4×C11C2×D411yescharacteristic
489C2×D4×C11C2×D411yescharacteristic
490C2×D4×C11C2×D411yescharacteristic
491C2×D4×C11C2411yescharacteristic
492C22×C4×C11—21no—
493C22×C4×C11—21no—
494C22×C4×C11—21no—
495C22×C4×C11—21no—
496C22×C4×C11—21no—
497C22×C4×C11C2×D411yescharacteristic
498C22×C4×C11C2×D411yescharacteristic
499C22×C4×C11C2411yescharacteristic
500C22×C4×C11C2411yescharacteristic
501C22×C4×C11C2411yescharacteristic
502C2×C22⋊D11—21no—
503C2×C22⋊D11—21no—
504C2×C22⋊D11—21no—
505C2×C22⋊D11—21no—
506C2×C22⋊D11—21no—
507C2×C22⋊D11—21no—
508C2×C22⋊D11—21no—
509C2×C22⋊D11—21no—
510C2×C22⋊D11—21no—
511C22×Dic11—21no—
512C22×Dic11—21no—
513#4343—82no—
514#4341—82no—
515#4339—22no—
516#4339—22no—
517#4339—22no—
518#4339—41no—
519#4339—41no—
520#4339—41no—
521#4339—82no—
522C2×D44—21no—
523C2×D44—21no—
524C2×D44—21no—
525C2×D44—21no—
526C2×D44—21no—
527C2×D44—21no—
528C2×D44C2411yescharacteristic
529C2×D44C2411yescharacteristic
530C2×D44C2411yescharacteristic
531C2×C4×D11—21no—
532C2×C4×D11—21no—
533C2×C4×D11—21no—
534C2×C4×D11—21no—
535C2×C4×D11—21no—
536C2×C4×D11—21no—
537C2×C4×D11—21no—
538C2×C4×D11—21no—
539C2×C4×D11—21no—
540C2×Dic22—21no—
541C2×Dic22C2411yescharacteristic
542C11×C4⋊C4—21no—
543C11×C4⋊C4—21no—
544C11×C4⋊C4—21no—
545C11×C4⋊C4—21no—
546C11×C4⋊C4—21no—
547C11×C4⋊C4—21no—
548C11×C4⋊C4—21no—
549C11×C4⋊C4—21no—
550C11×C4⋊C4—21no—
551C11×C4⋊C4—21no—
552C11×C4⋊C4—21no—
553C11×C4⋊C4—21no—
554C11×C4⋊C4—21no—
555C11×C4⋊C4—21no—
556C11×C4⋊C4—21no—
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⋊C4C2×D411yescharacteristic
565C11×C4⋊C4C2×D411yescharacteristic
566C11×C4⋊C4C2×D411yescharacteristic
567C11×C4⋊C4C2×D411yescharacteristic
568C11×C4⋊C4C2×D411yescharacteristic
569C11×C4⋊C4C2×D411yescharacteristic
570C11×C4⋊C4C2×D411yescharacteristic
571C11×C4⋊C4C2×D411yescharacteristic
572C11×C4⋊C4C2×D411yescharacteristic
573C11×C4⋊C4C2×D411yescharacteristic
574C11×C4⋊C4C2411yescharacteristic
575C11×C4⋊C4C2411yescharacteristic
576C11×C4⋊C4C2411yescharacteristic
577C11×C4⋊C4C2411yescharacteristic
578C11×C4⋊C4C2411yescharacteristic
579C11×C4⋊C4C2411yescharacteristic
580C11×C22⋊C4—21no—
581C11×C22⋊C4—21no—
582C11×C22⋊C4—21no—
583C11×C22⋊C4—21no—
584C11×C22⋊C4—21no—
585C11×C22⋊C4—21no—
586C11×C22⋊C4—21no—
587C11×C22⋊C4—21no—
588C11×C22⋊C4—21no—
589C11×C22⋊C4—21no—
590C11×C22⋊C4—21no—
591C11×C22⋊C4—21no—
592C11×C22⋊C4—21no—
593C11×C22⋊C4—21no—
594C11×C22⋊C4—21no—
595C11×C22⋊C4C2×D411yescharacteristic
596C11×C22⋊C4C2×D411yescharacteristic
597C11×C22⋊C4C2×D411yescharacteristic
598C11×C22⋊C4C2×D411yescharacteristic
599C11×C22⋊C4C2×D411yescharacteristic
600C11×C22⋊C4C2×D411yescharacteristic
601C11×C22⋊C4C2×D411yescharacteristic
602C11×C22⋊C4C2×D411yescharacteristic
603C11×C22⋊C4C2×D411yescharacteristic
604C11×C22⋊C4C2×D411yescharacteristic
605C42×C11—21no—
606C42×C11—21no—
607C42×C11—21no—
608C42×C11—21no—
609C42×C11—21no—
610C42×C11—21no—
611C42×C11—21no—
612C42×C11C2×D411yescharacteristic
613C42×C11C2×D411yescharacteristic
614C42×C11C2411yescharacteristic
615C42×C11C2411yescharacteristic
616C42×C11C2411yescharacteristic
617C42×C11C2411yescharacteristic
618C22⋊Dic11—21no—
619#4326—22no—
620#4325—41no—
621#4325—41no—
622#4325—41no—
623#4324—22no—
624#4323—41no—
625#4323—41no—
626#4323—41no—
627(C2×D11)⋊C4—21no—
628(C2×D11)⋊C4—21no—
629(C2×D11)⋊C4—21no—
630(C2×D11)⋊C4—21no—
631(C2×D11)⋊C4—21no—
632(C2×D11)⋊C4—21no—
633(C2×D11)⋊C4—21no—
634(C2×D11)⋊C4—21no—
635(C2×D11)⋊C4—21no—
636(C2×D11)⋊C4—21no—
637(C2×D11)⋊C4—21no—
638(C2×D11)⋊C4—21no—
639C4⋊Dic11—21no—
640C4⋊Dic11—21no—
641C4⋊Dic11—21no—
642C4⋊Dic11C2411yescharacteristic
643C4⋊Dic11C2411yescharacteristic
644C4⋊Dic11C2411yescharacteristic
645C4⋊Dic11C2411yescharacteristic
646Dic11⋊C4—21no—
647Dic11⋊C4—21no—
648Dic11⋊C4—21no—
649Dic11⋊C4—21no—
650Dic11⋊C4—21no—
651Dic11⋊C4—21no—
652Dic11⋊C4—21no—
653Dic11⋊C4—21no—
654C4×Dic11—21no—
655C4×Dic11—21no—
656C4×Dic11—21no—
657C4×Dic11—21no—
658C4×Dic11—21no—
659#4318—41no—
660#4318—41no—
661C2×C11⋊C8—41no—
662C2×C11⋊C8—41no—
663C2×C11⋊C8—41no—
664C2×C11⋊C8—41no—
665C2×C11⋊C8C2411yescharacteristic
666C2×C11⋊C8C2411yescharacteristic
667C2×C11⋊C8C2411yescharacteristic
668C2×C11⋊C8C2411yescharacteristic
669C2×C11⋊C8C2411yescharacteristic
670C2×C11⋊C8C2411yescharacteristic
671C2×C11⋊C8C2411yescharacteristic
672C2×C11⋊C8C2411yescharacteristic
673#3565D1111yescharacteristic, complemented
674#3517—111no—
675#3390—111no—
676#3388—111no—
677#3368—111no—
678#3366—111no—
679#3350—111no—
680#3347—111no—
681#3345—111no—
682#3343—111no—
683#3339—111no—
684#3337—111no—
685#3317—111no—
686#3317—111no—
687#3309—111no—
688#3309—111no—
689#3305—111no—
690#3304—111no—
691#3257—111no—
692#3257—111no—
693#3247—111no—
694#3241—111no—
695#3241—111no—
696#3235—111no—
697#3125—111no—
698#3124—111no—
699#3111—111no—
700#3084—111no—
701#3083—111no—
702#3076—111no—
703#2992—111no—
704C23×C11—21no—
705C23×C11C22×D411yescharacteristic
706C23×C11C22×D411yescharacteristic
707C23×C11C22×D411yescharacteristic
708C22×D11—21no—
709C22×D11—21no—
710C22×D11—21no—
711Q8×C11—21no—
712Q8×C11—21no—
713Q8×C11—41no—
714Q8×C11—81no—
715Q8×C11—81no—
716Q8×C11—81no—
717Q8×C11—81no—
718D4×C11—21no—
719D4×C11—21no—
720D4×C11—41no—
721D4×C11—41no—
722D4×C11—41no—
723D4×C11—81no—
724D4×C11—81no—
725D4×C11—81no—
726C2×C4×C11—21no—
727C2×C4×C11—21no—
728C2×C4×C11—21no—
729C2×C4×C11—21no—
730C2×C4×C11—21no—
731C2×C4×C11—21no—
732C2×C4×C11—21no—
733C2×C4×C11—21no—
734C2×C4×C11—21no—
735C2×C4×C11—21no—
736C2×C4×C11—21no—
737C2×C4×C11—21no—
738C2×C4×C11—21no—
739C2×C4×C11—41no—
740C2×C4×C11—41no—
741C2×C4×C11—81no—
742C2×C4×C11—81no—
743C2×C4×C11—81no—
744C2×C4×C11—81no—
745C2×C4×C11—81no—
746C2×C4×C11C22×D411yescharacteristic
747C2×C4×C11C22×D411yescharacteristic
748C2×C4×C11C22×D411yescharacteristic
749C2×C4×C11C22×D411yescharacteristic
750C2×C4×C11C22×D411yescharacteristic
751C2×C4×C11C22×D411yescharacteristic
752C2×C4×C11C22×D411yescharacteristic
753C2×C4×C11C22×D411yescharacteristic
754C2×C4×C11C22×D411yescharacteristic
755C2×C4×C11C22×D411yescharacteristic
756C2×C4×C11C22×D411yescharacteristic
757C2×C4×C11C2511yescharacteristic
758C22⋊D11—42no—
759C22⋊D11—42no—
760C22⋊D11—42no—
761C22⋊D11—81no—
762C22⋊D11—81no—
763C22⋊D11—81no—
764C22⋊D11—81no—
765C22⋊D11—81no—
766C22⋊D11—81no—
767C2×Dic11—21no—
768C2×Dic11—21no—
769C2×Dic11—21no—
770C2×Dic11—21no—
771C2×Dic11—21no—
772C2×Dic11—81no—
773C2×Dic11—81no—
774D44—21no—
775D44—21no—
776D44—21no—
777D44—21no—
778D44—21no—
779D44—21no—
780D44—42no—
781D44—81no—
782D44—81no—
783D44—81no—
784D44—81no—
785D44—81no—
786C4×D11—42no—
787C4×D11—42no—
788C4×D11—42no—
789C4×D11—42no—
790C4×D11—81no—
791C4×D11—81no—
792C4×D11—81no—
793C4×D11—81no—
794C4×D11—81no—
795Dic22—21no—
796Dic22—42no—
797Dic222−1+412yes—
798C11⋊C8—21no—
799C11⋊C8—21no—
800C11⋊C8—21no—
801C11⋊C8—21no—
802C11⋊C8—21no—
803C11⋊C8—21no—
804C11⋊C8—21no—
805C11⋊C8—21no—
806#563—21no—
807#562—21no—
808#557—111no—
809#557C2×D1111yescharacteristic
810#556—21no—
811#556C2×D1111yescharacteristic
812#555C2×D1111yescharacteristic
813#554C2×D1111yescharacteristic
814#553—111no—
815#553—111no—
816#553—221no—
817#553—221no—
818#553C2×D1111yescharacteristic
819#553C2×D1111yescharacteristic
820#552—21no—
821#552C2×D1111yescharacteristic
822#552C2×D1111yescharacteristic
823#550—111no—
824#550—111no—
825#550—111no—
826#550—111no—
827#550—221no—
828#547—111no—
829#547—221no—
830#544C2×D1111yescharacteristic
831#544C2×D1111yescharacteristic
832#542—21no—
833#542—21no—
834#542C2×D1111yescharacteristic
835#542C2×D1111yescharacteristic
836#541—21no—
837#540—111no—
838#540—111no—
839#540—221no—
840#540—221no—
841#539—21no—
842#533C2×D1111yescharacteristic
843#532—111no—
844#532—221no—
845#529—221no—
846#529C2×D1111yescharacteristic
847#529C2×D1111yescharacteristic
848#520—111no—
849#520—111no—
850C4×#41—111no—
851#501—111no—
852#501—111no—
853#501—111no—
854#501—111no—
855#499—111no—
856#499—111no—
857#490—111no—
858#490—111no—
859#490—111no—
860#490—111no—
861#486—111no—
862#486—111no—
863#485—111no—
864#484—111no—
865#483—111no—
866#482—111no—
867#482—111no—
868#482—111no—
869#482—111no—
870#482—111no—
871#482—111no—
872#482—111no—
873#482—111no—
874#482—111no—
875#481—111no—
876#481—111no—
877#481—111no—
878#480—111no—
879#480—111no—
880#480—111no—
881#479—111no—
882#479—111no—
883#479—111no—
884#479—111no—
885#479—111no—
886#479—111no—
887#479—111no—
888#478—111no—
889#478—111no—
890#478—111no—
891#478—111no—
892#478—111no—
893#478—111no—
894#478—111no—
895#478—111no—
896#478—111no—
897#477—111no—
898#477—111no—
899#477—111no—
900#476—111no—
901#476—111no—
902#476—111no—
903#476—111no—
904#476—111no—
905#475—111no—
906#475—111no—
907#474—111no—
908#474—111no—
909#474—111no—
910#474—111no—
911#469—111no—
912#469—111no—
913#468—111no—
914#468—111no—
915#466—111no—
916#466—111no—
917#466—111no—
918#466—111no—
919#465—111no—
920#465—111no—
921#465—111no—
922#465—111no—
923#464—111no—
924#463—111no—
925#463—111no—
926#463—111no—
927#460—111no—
928#460—111no—
929#460—111no—
930#459—111no—
931#459—111no—
932#459—111no—
933#452—111no—
934#452—111no—
935#452—111no—
936#449—111no—
937#449—111no—
938#449—111no—
939#446—111no—
940#446—111no—
941#442—111no—
942#442—111no—
943#441—111no—
944#441—111no—
945#440—111no—
946#440—111no—
947#440—111no—
948#440—111no—
949C4×Q16—111no—
950C4×SD16—111no—
951C4×SD16—111no—
952C4×D8—111no—
953#435—111no—
954#435—111no—
955#435—111no—
956#435—111no—
957C8×D4—111no—
958C8×D4—111no—
959#433—111no—
960#433—111no—
961#432—111no—
962#428—111no—
963#428—111no—
964#427—111no—
965#427—111no—
966C2×#107—111no—
967C2×#106—111no—
968#424—111no—
969#424—111no—
970C2×C4⋊C8—111no—
971#417—111no—
972#417—111no—
973#416—111no—
974#416—111no—
975#416—111no—
976#416—111no—
977C22×C11—21no—
978C22×C11—21no—
979C22×C11—21no—
980C22×C11—21no—
981C22×C11—21no—
982C22×C11—21no—
983C22×C11—21no—
984C22×C11—21no—
985C22×C11—21no—
986C22×C11—41no—
987C22×C11—41no—
988C22×C11—41no—
989C22×C11C23×D411yescharacteristic
990C2×D11—41no—
991C2×D11—41no—
992C2×D11—41no—
993C2×D11—41no—
994C2×D11—41no—
995C2×D11—41no—
996C2×D11—41no—
997C2×D11—41no—
998C2×D11—41no—
999C4×C11—21no—
1000C4×C11—21no—
1001C4×C11—21no—
1002C4×C11—21no—
1003C4×C11—21no—
1004C4×C11—21no—
1005C4×C11—21no—
1006C4×C11—21no—
1007C4×C11—21no—
1008C4×C11—21no—
1009C4×C11—21no—
1010C4×C11—41no—
1011C4×C11—41no—
1012C4×C11—41no—
1013C4×C11—41no—
1014C4×C11—41no—
1015C4×C11—41no—
1016C4×C11—41no—
1017C4×C11C2×2−1+411yescharacteristic
1018C4×C11#58511yescharacteristic
1019Dic11—22no—
1020Dic11—41no—
1021Dic11—41no—
1022Dic11—41no—
1023Dic11—41no—
1024C2×#41—111no—
1025C2×#41—111no—
1026C2×#41—111no—
1027C2×#41—221no—
1028C2×#41—221no—
1029C2×#41—221no—
1030C2×Q16—111no—
1031C2×SD16—111no—
1032C2×SD16—111no—
1033C2×SD16—111no—
1034C2×SD16—111no—
1035C2×D8—111no—
1036C2×D8—111no—
1037C2×D8—111no—
1038C2×M16—111no—
1039C2×M16—111no—
1040C22×C8—111no—
1041C22×C8—111no—
1042C22×C8—111no—
1043C22×C8—111no—
1044C4⋊Q8—21no—
1045C4⋊Q8—21no—
1046C4⋊Q8—21no—
1047C4⋊Q8—111no—
1048C4⋊Q8—221no—
1049C4⋊Q8C22×D1111yescharacteristic
1050C4⋊Q8C22×D1111yescharacteristic
1051C4⋊Q8C22×D1111yescharacteristic
1052C4⋊Q8C22×D1111yescharacteristic
1053#127—111no—
1054#127—111no—
1055#127—111no—
1056#127—221no—
1057#127—221no—
1058#127—221no—
1059#126—21no—
1060#126—21no—
1061#126—21no—
1062#126—21no—
1063#126—21no—
1064#126—21no—
1065#126—21no—
1066#126—21no—
1067#126—21no—
1068#126—221no—
1069#126—221no—
1070#126C22⋊D1111yescharacteristic
1071#126C22⋊D1111yescharacteristic
1072#125—21no—
1073#125—21no—
1074#125—21no—
1075#125—21no—
1076#125—21no—
1077#125—21no—
1078#125—111no—
1079#125—111no—
1080#125—221no—
1081#125—221no—
1082#125C22⋊D1111yescharacteristic
1083#125C22×D1111yescharacteristic
1084#125C22×D1111yescharacteristic
1085#125C22×D1111yescharacteristic
1086#125C22×D1111yescharacteristic
1087#125C22×D1111yescharacteristic
1088#124—21no—
1089#124—21no—
1090#124—21no—
1091#124—21no—
1092#124—21no—
1093#124—221no—
1094#124C22⋊D1111yescharacteristic
1095#124C22×D1111yescharacteristic
1096#123—21no—
1097#123—21no—
1098#123—21no—
1099#123—21no—
1100#123—21no—
1101#123—21no—
1102#123—21no—
1103#123—221no—
1104#123—221no—
1105#123—221no—
1106#123—221no—
1107#123—221no—
1108#123—221no—
1109#123—221no—
1110#123—221no—
1111#123C22⋊D1111yescharacteristic
1112#123C22⋊D1111yescharacteristic
1113C22⋊Q8—21no—
1114C22⋊Q8—21no—
1115C22⋊Q8—21no—
1116C22⋊Q8—21no—
1117C22⋊Q8—21no—
1118C22⋊Q8—21no—
1119C22⋊Q8—21no—
1120C22⋊Q8—21no—
1121C22⋊Q8—21no—
1122C22⋊Q8—21no—
1123C22⋊Q8—21no—
1124C22⋊Q8—221no—
1125C22⋊Q8C22⋊D1111yescharacteristic
1126C22⋊Q8C22×D1111yescharacteristic
1127C22⋊Q8C22×D1111yescharacteristic
1128C22⋊Q8C22×D1111yescharacteristic
1129#121—21no—
1130#121—21no—
1131#121—21no—
1132#121—111no—
1133#121—111no—
1134#121—111no—
1135#121—111no—
1136#121—111no—
1137#121—111no—
1138#121—221no—
1139#121—221no—
1140#121—221no—
1141#121—221no—
1142#121—221no—
1143#121—221no—
1144#121—221no—
1145#121—221no—
1146#121—221no—
1147#121—221no—
1148#121—221no—
1149#121—221no—
1150#121—221no—
1151#121—221no—
1152#121—221no—
1153#121—221no—
1154#121C22⋊D1111yescharacteristic
1155#121C22×D1111yescharacteristic
1156#121C22×D1111yescharacteristic
1157#121C22×D1111yescharacteristic
1158C4×Q8—21no—
1159C4×Q8—21no—
1160C4×Q8—21no—
1161C4×Q8—21no—
1162C4×Q8—111no—
1163C4×Q8—111no—
1164C4×Q8—111no—
1165C4×Q8—111no—
1166C4×Q8—221no—
1167C4×Q8C22×D1111yescharacteristic
1168C4×Q8C22×D1111yescharacteristic
1169C4×Q8C22×D1111yescharacteristic
1170C4×Q8C22×D1111yescharacteristic
1171C4×D4—21no—
1172C4×D4—21no—
1173C4×D4—21no—
1174C4×D4—111no—
1175C4×D4—111no—
1176C4×D4—111no—
1177C4×D4—111no—
1178C4×D4—111no—
1179C4×D4—111no—
1180C4×D4—221no—
1181C4×D4—221no—
1182C4×D4—221no—
1183C4×D4—221no—
1184C4×D4—221no—
1185C4×D4—221no—
1186C4×D4—221no—
1187C4×D4—221no—
1188C4×D4—221no—
1189C4×D4—221no—
1190C4×D4—221no—
1191C4×D4—221no—
1192C4×D4C22×D1111yescharacteristic
1193C4×D4C22×D1111yescharacteristic
1194C4×D4C22×D1111yescharacteristic
1195C4×D4C22×D1111yescharacteristic
1196C4×D4C22×D1111yescharacteristic
1197C4×D4C22×D1111yescharacteristic
1198#117—21no—
1199#117—21no—
1200#117—21no—
1201#117—21no—
1202#117—111no—
1203#117—221no—
1204#117—221no—
1205#117—221no—
1206#117C22×D1111yescharacteristic
1207#117C22×D1111yescharacteristic
1208#117C22×D1111yescharacteristic
1209#117C22×D1111yescharacteristic
1210#117C22×D1111yescharacteristic
1211#117C22×D1111yescharacteristic
1212C2×C4⋊C4—21no—
1213C2×C4⋊C4—111no—
1214C2×C4⋊C4—111no—
1215C2×C4⋊C4—221no—
1216C2×C4⋊C4—221no—
1217C2×C4⋊C4C22×D1111yescharacteristic
1218C2×C4⋊C4C22×D1111yescharacteristic
1219C2×C42—221no—
1220C2×C42C22×D1111yescharacteristic
1221#107—111no—
1222#107—111no—
1223#107—111no—
1224#107—111no—
1225#107—111no—
1226#107—111no—
1227#107—111no—
1228#107—111no—
1229#107—111no—
1230#107—111no—
1231#107—111no—
1232#107—111no—
1233#106—111no—
1234#106—111no—
1235#106—111no—
1236#106—111no—
1237#106—111no—
1238#106—111no—
1239#106—111no—
1240#106—111no—
1241#106—111no—
1242#106—111no—
1243#106—111no—
1244#106—111no—
1245C4⋊C8—111no—
1246C4⋊C8—111no—
1247C4⋊C8—111no—
1248C4⋊C8—111no—
1249C4⋊C8—111no—
1250C4⋊C8—111no—
1251C4⋊C8—111no—
1252C4⋊C8—111no—
1253C4⋊C8—111no—
1254C4⋊C8—111no—
1255#103—111no—
1256#103—111no—
1257#103—111no—
1258#103—111no—
1259#103—111no—
1260#103—111no—
1261#103—111no—
1262#103—111no—
1263#103—111no—
1264#103—111no—
1265#102—111no—
1266#102—111no—
1267#102—111no—
1268#102—111no—
1269#102—111no—
1270#102—111no—
1271#102—111no—
1272#102—111no—
1273#102—111no—
1274#102—111no—
1275#102—111no—
1276#102—111no—
1277#102—111no—
1278#102—111no—
1279#102—111no—
1280#102—111no—
1281#102—111no—
1282#102—111no—
1283#102—111no—
1284#102—111no—
1285#102—111no—
1286#102—111no—
1287C22⋊C8—111no—
1288C22⋊C8—111no—
1289C22⋊C8—111no—
1290C22⋊C8—111no—
1291C22⋊C8—111no—
1292C22⋊C8—111no—
1293#97—111no—
1294#97—111no—
1295#97—111no—
1296#97—111no—
1297C4×C8—111no—
1298C4×C8—111no—
1299C2×C11—41no—
1300C2×C11—41no—
1301C2×C11—41no—
1302C2×C11—81no—
1303C2×C11#348911yescharacteristic
1304C2×C11#358411yescharacteristic
1305C2×C11#358511yescharacteristic
1306D11—81no—
1307D11—81no—
1308D11—81no—
1309#41—222no—
1310#41—222no—
1311#41—222no—
1312#41—441no—
1313#41—441no—
1314#41—441no—
1315#41—882no—
1316#41—882no—
1317#41—882no—
1318C2×Q8—21no—
1319C2×Q8—21no—
1320C2×Q8—21no—
1321C2×Q8—21no—
1322C2×Q8—111no—
1323C2×Q8—221no—
1324C2×Q8C2×C22⋊D1111yescharacteristic
1325C2×Q8C23×D1111yescharacteristic
1326C2×D4—21no—
1327C2×D4—21no—
1328C2×D4—21no—
1329C2×D4—111no—
1330C2×D4—111no—
1331C2×D4—111no—
1332C2×D4—221no—
1333C2×D4—221no—
1334C2×D4—221no—
1335C2×D4—221no—
1336C2×D4—221no—
1337C2×D4—221no—
1338C2×D4—221no—
1339C2×D4—221no—
1340C2×D4—221no—
1341C2×D4—221no—
1342C2×D4—221no—
1343C2×D4—221no—
1344C2×D4—221no—
1345C2×D4—221no—
1346C2×D4—221no—
1347C2×D4C2×C22⋊D1111yescharacteristic
1348C2×D4C2×C22⋊D1111yescharacteristic
1349C2×D4C2×C22⋊D1111yescharacteristic
1350C2×D4C23×D1111yescharacteristic
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—21no—
1356C22×C4—221no—
1357C22×C4—221no—
1358C22×C4—221no—
1359C22×C4—221no—
1360C22×C4—221no—
1361C22×C4—221no—
1362C22×C4—221no—
1363C22×C4—221no—
1364C22×C4—221no—
1365C22×C4—221no—
1366C22×C4—221no—
1367C22×C4C2×C22⋊D1111yescharacteristic
1368C22×C4C2×C22⋊D1111yescharacteristic
1369C22×C4C23×D1111yescharacteristic
1370C22×C4C23×D1111yescharacteristic
1371C22×C4C23×D1111yescharacteristic
1372Q16—222no—
1373SD16—222no—
1374SD16—441no—
1375SD16—441no—
1376SD16—441no—
1377D8—441no—
1378D8—441no—
1379D8—441no—
1380M16—441no—
1381M16—441no—
1382C2×C8—111no—
1383C2×C8—111no—
1384C2×C8—111no—
1385C2×C8—111no—
1386C2×C8—111no—
1387C2×C8—111no—
1388C2×C8—111no—
1389C2×C8—111no—
1390C2×C8—441no—
1391C2×C8—441no—
1392C2×C8—441no—
1393C2×C8—441no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—21no—
1404C4⋊C4—21no—
1405C4⋊C4—21no—
1406C4⋊C4—21no—
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—111no—
1417C4⋊C4—111no—
1418C4⋊C4—111no—
1419C4⋊C4—111no—
1420C4⋊C4—221no—
1421C4⋊C4—221no—
1422C4⋊C4—221no—
1423C4⋊C4—221no—
1424C4⋊C4—221no—
1425C4⋊C4—221no—
1426C4⋊C4—221no—
1427C4⋊C4—221no—
1428C4⋊C4—221no—
1429C4⋊C4—221no—
1430C4⋊C4—221no—
1431C4⋊C4C2×C22⋊D1111yescharacteristic
1432C4⋊C4C2×C22⋊D1111yescharacteristic
1433C4⋊C4C2×C22⋊D1111yescharacteristic
1434C4⋊C4C2×C22⋊D1111yescharacteristic
1435C4⋊C4C2×C22⋊D1111yescharacteristic
1436C4⋊C4C2×C22⋊D1111yescharacteristic
1437C4⋊C4C2×C22⋊D1111yescharacteristic
1438C4⋊C4C2×C22⋊D1111yescharacteristic
1439C4⋊C4C2×C22⋊D1111yescharacteristic
1440C4⋊C4C2×C22⋊D1111yescharacteristic
1441C4⋊C4C23×D1111yescharacteristic
1442C4⋊C4C23×D1111yescharacteristic
1443C4⋊C4C23×D1111yescharacteristic
1444C4⋊C4C23×D1111yescharacteristic
1445C4⋊C4C23×D1111yescharacteristic
1446C4⋊C4C23×D1111yescharacteristic
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—21no—
1456C22⋊C4—21no—
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—221no—
1463C22⋊C4—221no—
1464C22⋊C4—221no—
1465C22⋊C4—221no—
1466C22⋊C4—221no—
1467C22⋊C4—221no—
1468C22⋊C4—221no—
1469C22⋊C4—221no—
1470C22⋊C4—221no—
1471C22⋊C4—221no—
1472C22⋊C4—221no—
1473C22⋊C4—221no—
1474C22⋊C4—221no—
1475C22⋊C4C2×C22⋊D1111yescharacteristic
1476C22⋊C4C2×C22⋊D1111yescharacteristic
1477C22⋊C4C2×C22⋊D1111yescharacteristic
1478C22⋊C4C2×C22⋊D1111yescharacteristic
1479C22⋊C4C2×C22⋊D1111yescharacteristic
1480C22⋊C4C2×C22⋊D1111yescharacteristic
1481C22⋊C4C2×C22⋊D1111yescharacteristic
1482C22⋊C4C2×C22⋊D1111yescharacteristic
1483C22⋊C4C2×C22⋊D1111yescharacteristic
1484C22⋊C4C2×C22⋊D1111yescharacteristic
1485C42—21no—
1486C42—21no—
1487C42—21no—
1488C42—21no—
1489C42—21no—
1490C42—21no—
1491C42—21no—
1492C42—221no—
1493C42—221no—
1494C42—221no—
1495C42—221no—
1496C42—221no—
1497C42C2×C22⋊D1111yescharacteristic
1498C42C2×C22⋊D1111yescharacteristic
1499C42C23×D1111yescharacteristic
1500C42C23×D1111yescharacteristic
1501C42C23×D1111yescharacteristic
1502C42C23×D1111yescharacteristic
1503C11#6216211yescharacteristic, complemented, Sylow
1504C23—21no—
1505C23—221no—
1506C23—221no—
1507C23—221no—
1508C23C22×C22⋊D1111yescharacteristic
1509C23C22×C22⋊D1111yescharacteristic
1510C23C22×C22⋊D1111yescharacteristic
1511Q8—21no—
1512Q8—21no—
1513Q8—41no—
1514Q8—81no—
1515Q8—81no—
1516Q8—81no—
1517Q8—81no—
1518Q8—112no—
1519Q8—221no—
1520Q8—442no—
1521D4—21no—
1522D4—21no—
1523D4—41no—
1524D4—41no—
1525D4—41no—
1526D4—81no—
1527D4—81no—
1528D4—81no—
1529D4—221no—
1530D4—221no—
1531D4—221no—
1532D4—221no—
1533D4—221no—
1534D4—221no—
1535D4—442no—
1536D4—442no—
1537D4—442no—
1538D4—442no—
1539D4—881no—
1540D4—881no—
1541D4—881no—
1542D4—881no—
1543D4—881no—
1544D4—881no—
1545D4—881no—
1546D4—881no—
1547D4—881no—
1548D4—881no—
1549D4—881no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—41no—
1564C2×C4—41no—
1565C2×C4—81no—
1566C2×C4—81no—
1567C2×C4—81no—
1568C2×C4—81no—
1569C2×C4—81no—
1570C2×C4—221no—
1571C2×C4—221no—
1572C2×C4—221no—
1573C2×C4—221no—
1574C2×C4—221no—
1575C2×C4—442no—
1576C2×C4—442no—
1577C2×C4—442no—
1578C2×C4—442no—
1579C2×C4—881no—
1580C2×C4—881no—
1581C2×C4—881no—
1582C2×C4—881no—
1583C2×C4—881no—
1584C2×C4—881no—
1585C2×C4—881no—
1586C2×C4C22×C22⋊D1111yescharacteristic
1587C2×C4C22×C22⋊D1111yescharacteristic
1588C2×C4C22×C22⋊D1111yescharacteristic
1589C2×C4C22×C22⋊D1111yescharacteristic
1590C2×C4C22×C22⋊D1111yescharacteristic
1591C2×C4C22×C22⋊D1111yescharacteristic
1592C2×C4C22×C22⋊D1111yescharacteristic
1593C2×C4C22×C22⋊D1111yescharacteristic
1594C2×C4C22×C22⋊D1111yescharacteristic
1595C2×C4C22×C22⋊D1111yescharacteristic
1596C2×C4C22×C22⋊D1111yescharacteristic
1597C2×C4C24×D1111yescharacteristic
1598C8—221no—
1599C8—221no—
1600C8—221no—
1601C8—221no—
1602C8—221no—
1603C8—221no—
1604C8—221no—
1605C8—221no—
1606C22—21no—
1607C22—21no—
1608C22—21no—
1609C22—21no—
1610C22—21no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—21no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—441no—
1619C22—441no—
1620C22—441no—
1621C22—441no—
1622C22—441no—
1623C22—441no—
1624C22—441no—
1625C22—441no—
1626C22—441no—
1627C22C23×C22⋊D1111yescharacteristic
1628C4—21no—
1629C4—21no—
1630C4—21no—
1631C4—21no—
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—21no—
1638C4—21no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—222no—
1647C4—441no—
1648C4—441no—
1649C4—441no—
1650C4—441no—
1651C4D11×2−1+411yescharacteristic
1652C4#1062345711yescharacteristic
1653C2—41no—
1654C2—41no—
1655C2—41no—
1656C2—81no—
1657C2—881no—
1658C2—881no—
1659C2—881no—
1660C2#1308228911yescharacteristic
1661C2#1308338711yescharacteristic
1662C2#1308339511yescharacteristic
subgroupG/H
centerC22C23×C22⋊D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3565C2
socleC22×C11C23×D4
hypercenter#3565D11
hypocenterC11#62162
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ #529 ◁ #3565

Complements

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

NH ≅ G/Ntype
1. #13082620C2semidirect
2. #13081579C2semidirect
3. #13081561C2semidirect
4. #13081345C2semidirect
5. #13081323C2semidirect
6. #13081161C2semidirect
7. #13081116C2semidirect
8. #13081080C2semidirect
9. #13081056C2semidirect
10. #13081012C2semidirect
11. #13080995C2semidirect
12. #13080736C2semidirect
13. #13080736C2semidirect
14. #13080616C2semidirect
15. #13080616C2semidirect
16. #13080560C2semidirect
17. #13080549C2semidirect
18. #13080027C2semidirect
19. #13080027C2semidirect
20. #13079942C2semidirect
21. #13079869C2semidirect
22. #13079869C2semidirect
23. #13079814C2semidirect
24. #13078887C2semidirect
25. #13078872C2semidirect
26. #13078719C2semidirect
27. #13078474C2semidirect
28. #13078463C2semidirect
29. #13078398C2semidirect
30. #13077755C2semidirect
31. C11×#3565C2semidirect
673. #3565D11semidirect
1503. C11#62162semidirect

Maximal subgroups

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

subgroupindex
#130826202
#130815792
#130815612
#130813452
#130813232
#130811612
#130811162
#130810802
#130810562
#130810122
#130809952
#130807362
#130806162
#130805602
#130805492
#130800272
#130799422
#130798692
#130798142
#130788872
#130788722
#130787192
#130784742
#130784632
#130783982
#130777552
C11×#35652
#6216211