Finite Group Databasebeta

← #15639522

Subgroups — #15639522

Order 2816.

2044 conjugacy classes of subgroups.

The subgroup lattice has 1866 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082915C211yesmaximal, characteristic, complemented
2#13082272C211yesmaximal, characteristic, complemented
3#13080957C211yesmaximal, characteristic, complemented
4#13080868C211yesmaximal, characteristic, complemented
5#13080741C211yesmaximal, characteristic, complemented
6#13080734C211yesmaximal, characteristic, complemented
7#13080689C211yesmaximal, characteristic, complemented
8#13080621C211yesmaximal, characteristic, complemented
9#13080558C211yesmaximal, characteristic, complemented
10#13080502C211yesmaximal, characteristic, complemented
11#13080352C211yesmaximal, characteristic, complemented
12#13080345C211yesmaximal, characteristic, complemented
13#13080281C211yesmaximal, characteristic, complemented
14#13080268C211yesmaximal, characteristic, complemented
15#13080196C211yesmaximal, characteristic, complemented
16#13080196C211yesmaximal, characteristic, complemented
17#13080185C211yesmaximal, characteristic, complemented
18#13080170C211yesmaximal, characteristic, complemented
19#13079710C211yesmaximal, characteristic, complemented
20#13079485C211yesmaximal, characteristic, complemented
21#13079472C211yesmaximal, characteristic, complemented
22#13079457C211yesmaximal, characteristic, complemented
23#13079395C211yesmaximal, characteristic, complemented
24#13078911C211yesmaximal, characteristic, complemented
25#13078847C211yesmaximal, characteristic, complemented
26#13077935C211yesmaximal, characteristic, complemented
27#13077908C211yesmaximal, characteristic, complemented
28#13077871C211yesmaximal, characteristic, complemented
29#13077835C211yesmaximal, characteristic, complemented
30#13077662C211yesmaximal, characteristic, complemented
31C11×#3222C211yesmaximal, characteristic, complemented
32C2×#67043C2211yescharacteristic
33C22×#4341C2211yescharacteristic
34C11×#541C2211yescharacteristic
35C11×#535C2211yescharacteristic
36#10623359C2211yescharacteristic
37#10623336C2211yescharacteristic
38C2×#66971C2211yescharacteristic, complemented
39C2×Q16×D11C2211yescharacteristic, complemented
40C2×#66969C2211yescharacteristic
41C2×#66969C2211yescharacteristic
42C2×#66969C2211yescharacteristic, complemented
43C2×#66968C2211yescharacteristic
44C2×#66968C2211yescharacteristic
45C2×#66968C2211yescharacteristic, complemented
46#10623258C2211yescharacteristic, complemented
47#10623257C2211yescharacteristic, complemented
48#10623249C2211yescharacteristic
49#10623249C2211yescharacteristic
50#10623249C2211yescharacteristic
51#10623249C2211yescharacteristic
52#10623241—21no—
53#10623238—21no—
54#10623235—21no—
55#10623235—21no—
56#10623231—21no—
57#10623230—21no—
58#10623226—21no—
59#10623226C2211yescharacteristic, complemented
60#10623225C2211yescharacteristic, complemented
61#10623221—21no—
62#10623208C2211yescharacteristic
63#10623208C2211yescharacteristic
64#10623208C2211yescharacteristic
65#10623208C2211yescharacteristic
66#10623160C2211yescharacteristic
67#10623159C2211yescharacteristic
68#10623158C2211yescharacteristic
69D11×C22⋊Q8C2211yescharacteristic
70#10623130—21no—
71#10623130—21no—
72#10623129—21no—
73#10623129—21no—
74#10623123—21no—
75#10623123—21no—
76#10623117—21no—
77#10623117—21no—
78#10623115C2211yescharacteristic, complemented
79#10623110C2211yescharacteristic, complemented
80#10623107C2211yescharacteristic, complemented
81#10623107C2211yescharacteristic, complemented
82#10623065C2211yescharacteristic
83#10623055C2211yescharacteristic
84#10623047C2211yescharacteristic
85C11×#497C2211yescharacteristic, complemented
86C11×#492C2211yescharacteristic, complemented
87C11×#490C2211yescharacteristic, complemented
88C11×#488C2211yescharacteristic, complemented
89C11×#464C2211yescharacteristic, complemented
90C11×#464C2211yescharacteristic, complemented
91C11×#460C2211yescharacteristic, complemented
92C11×#460C2211yescharacteristic, complemented
93C11×#452C2211yescharacteristic
94C11×#452C2211yescharacteristic
95C11×#450C2211yescharacteristic
96C11×#450C2211yescharacteristic
97C11×#433C2211yescharacteristic
98#10622852C2211yescharacteristic
99#10622851C2211yescharacteristic
100#10622831C2211yescharacteristic
101#10622830C2211yescharacteristic
102#10622802C2211yescharacteristic, complemented
103#10622801C2211yescharacteristic, complemented
104#10622800C2211yescharacteristic, complemented
105#10622799C2211yescharacteristic, complemented
106#10622799C2211yescharacteristic, complemented
107#10622799C2211yescharacteristic, complemented
108#10622787C2211yescharacteristic, complemented
109#10622787C2211yescharacteristic, complemented
110#10622787C2211yescharacteristic, complemented
111#10622786C2211yescharacteristic
112#10622786C2211yescharacteristic
113#10622786C2211yescharacteristic
114#10622786C2211yescharacteristic
115#10622786C2211yescharacteristic, complemented
116#10622786C2211yescharacteristic, complemented
117#10622785C2211yescharacteristic, complemented
118#10622785C2211yescharacteristic, complemented
119#10622785C2211yescharacteristic, complemented
120#10622784C2211yescharacteristic, complemented
121#10622784C2211yescharacteristic, complemented
122#10622784C2211yescharacteristic, complemented
123#10622783C2211yescharacteristic, complemented
124#10622783C2211yescharacteristic, complemented
125#10622783C2211yescharacteristic, complemented
126#10622703C2211yescharacteristic, complemented
127#10622703C2211yescharacteristic, complemented
128#10622688C2211yescharacteristic, complemented
129#10622687C2211yescharacteristic, complemented
130#10622685C2211yescharacteristic, complemented
131#10622683C2211yescharacteristic, complemented
132#10622676C2211yescharacteristic, complemented
133#10622676C2211yescharacteristic, complemented
134#10622672C2211yescharacteristic, complemented
135#10622670C2211yescharacteristic, complemented
136#10622668C2211yescharacteristic, complemented
137#10622667C2211yescharacteristic, complemented
138#10622663C2211yescharacteristic
139#10622663C2211yescharacteristic
140#10622658C2211yescharacteristic
141#10622658C2211yescharacteristic
142#10622643C2211yescharacteristic, complemented
143#10622643C2211yescharacteristic, complemented
144C4×#4326C2211yescharacteristic, complemented
145C4×#4326C2211yescharacteristic, complemented
146#10622613C2211yescharacteristic
147#10622464C2211yescharacteristic, complemented
148#10622463C2211yescharacteristic, complemented
149#10622458C2211yescharacteristic, complemented
150#10622458C2211yescharacteristic, complemented
151#10622451C2211yescharacteristic, complemented
152#10622449C2211yescharacteristic, complemented
153#10622449C2211yescharacteristic, complemented
154#10622447C2211yescharacteristic, complemented
155#10622427C2211yescharacteristic, complemented
156#10622426C2211yescharacteristic, complemented
157#10622425C2211yescharacteristic, complemented
158#10622421C2211yescharacteristic, complemented
159#10622419C2211yescharacteristic, complemented
160#10622418C2211yescharacteristic, complemented
161#10622415C2211yescharacteristic, complemented
162D11×#103C2211yescharacteristic, complemented
163#10622397C2211yescharacteristic, complemented
164#10622396C2211yescharacteristic
165#10622396C2211yescharacteristic
166#10622396C2211yescharacteristic, complemented
167#10622395C2211yescharacteristic, complemented
168#10622395C2211yescharacteristic, complemented
169#10622394C2211yescharacteristic
170#10622394C2211yescharacteristic
171#10622394C2211yescharacteristic, complemented
172#10622393C2211yescharacteristic, complemented
173#10622392C2211yescharacteristic, complemented
174#10622392C2211yescharacteristic, complemented
175#10622391C2211yescharacteristic, complemented
176#10622391C2211yescharacteristic, complemented
177#10622390C2211yescharacteristic, complemented
178#10622388C2211yescharacteristic, complemented
179#10622387C2211yescharacteristic, complemented
180#10622387C2211yescharacteristic, complemented
181#10622385C2211yescharacteristic
182#10622385C2211yescharacteristic
183#10622385C2211yescharacteristic, complemented
184#10622384C2211yescharacteristic
185#10622384C2211yescharacteristic
186#10622384C2211yescharacteristic, complemented
187#10622352C2211yescharacteristic
188#10622351C2211yescharacteristic
189#10622350C2211yescharacteristic
190#10622340C2211yescharacteristic
191#10622340C2211yescharacteristic
192#10622339C2211yescharacteristic
193D11×C22⋊C8C2211yescharacteristic
194#10622336C2211yescharacteristic
195#10622329C2211yescharacteristic, complemented
196#10622323C2211yescharacteristic, complemented
197#10622319C2211yescharacteristic, complemented
198#10622319C2211yescharacteristic, complemented
199C4×Dic44C2211yescharacteristic, complemented
200C4×#4314C2211yescharacteristic, complemented
201#10622301C2211yescharacteristic, complemented
202C8×D44C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C22×D4×C11C2311yescharacteristic
205C22×C22⋊D11—21no—
206C23×Dic11—21no—
207#67043—42no—
208#67043—42no—
209C2×#4343C2311yescharacteristic
210C2×#4343C2311yescharacteristic
211C2×Q8×D11C2311yescharacteristic
212C2×Q8×D11C2311yescharacteristic
213C2×Q8×D11C2311yescharacteristic
214C2×Q8×D11C2311yescharacteristic
215C2×#4341—21no—
216C2×#4341—21no—
217C2×#4341—21no—
218C2×#4341—21no—
219C2×#4341—42no—
220C2×#4341—42no—
221C2×#4341C2311yescharacteristic
222C2×#4341C2311yescharacteristic
223C2×#4341C2311yescharacteristic
224C2×#4341C2311yescharacteristic
225C2×#4341C2311yescharacteristic
226C2×#4341C2311yescharacteristic
227C2×#4339—21no—
228C2×#4339C2311yescharacteristic
229C22×C4×D11C2311yescharacteristic
230C22×Dic22—21no—
231C22×Dic22C2311yescharacteristic
232C2×C11×Q16C2311yescharacteristic
233C2×C11×Q16C2311yescharacteristic
234C2×C11×SD16C2311yescharacteristic
235C2×C11×SD16C2311yescharacteristic
236C2×C11×SD16C2311yescharacteristic
237C2×C11×SD16C2311yescharacteristic
238C2×C11×SD16C2311yescharacteristic
239C2×C11×SD16C2311yescharacteristic
240C11×C4⋊Q8C2311yescharacteristic
241C11×#127C2311yescharacteristic
242C11×#127C2311yescharacteristic
243C11×#126—21no—
244C11×#126—21no—
245C11×#125—21no—
246C11×#125—21no—
247C11×#125C2311yescharacteristic
248C11×#124C2311yescharacteristic
249C11×#124C2311yescharacteristic
250C11×C22⋊Q8C2311yescharacteristic
251C11×C22⋊Q8C2311yescharacteristic
252C11×#121—21no—
253C11×#121—21no—
254C11×#120—21no—
255C11×#120—21no—
256C4×Q8×C11C2311yescharacteristic
257C4×Q8×C11C2311yescharacteristic
258C11×#117C2311yescharacteristic
259#67006—21no—
260#67006—21no—
261#66999C2311yescharacteristic
262#66999C2311yescharacteristic
263#66999C2311yescharacteristic
264#66999C2311yescharacteristic
265#66999C2311yescharacteristic
266#66999C2311yescharacteristic
267C2×#4326C2311yescharacteristic
268C2×#4326C2311yescharacteristic
269C2×#4326C2311yescharacteristic
270C2×#4326C2311yescharacteristic
271C2×#4326C2311yescharacteristic
272C2×#4325C2311yescharacteristic
273#66993—21no—
274#66993—21no—
275#66993—21no—
276#66993—21no—
277#66993—21no—
278#66992—21no—
279#66992—21no—
280#66992—21no—
281#66992—21no—
282#66992—21no—
283#66992—21no—
284#66992—21no—
285#66992—21no—
286#66991C2311yescharacteristic
287#66991C2311yescharacteristic
288#66991C2311yescharacteristic
289#66991C2311yescharacteristic
290#66991C2311yescharacteristic
291#66991C2311yescharacteristic
292#66990—21no—
293#66989—21no—
294#66988—21no—
295D4×Dic11—21no—
296D4×Dic11—21no—
297D4×Dic11—21no—
298D4×Dic11—21no—
299C2×#4324C2311yescharacteristic
300C2×#4324C2311yescharacteristic
301C2×#4324C2311yescharacteristic
302C2×#4323C2311yescharacteristic
303C2×#4323C2311yescharacteristic
304C2×#4323C2311yescharacteristic
305#66983C2311yescharacteristic
306C4×C22⋊D11—21no—
307C4×C22⋊D11—21no—
308#66979C2311yescharacteristic
309#66977C2311yescharacteristic
310#66971—42no—
311Q16×D11—42no—
312#66969—42no—
313#66969—42no—
314#66969—42no—
315#66968—42no—
316#66968—42no—
317#66968—42no—
318C2×Dic44C2311yescharacteristic
319C2×Dic44C2311yescharacteristic
320C2×#4314C2311yescharacteristic
321C2×#4314C2311yescharacteristic
322C2×#4313C2311yescharacteristic
323C2×#4313C2311yescharacteristic
324C2×#4313C2311yescharacteristic
325C2×#4313C2311yescharacteristic
326C2×C8×D11C2311yescharacteristic
327C2×C8×D11C2311yescharacteristic
328C2×C8×D11C2311yescharacteristic
329C2×C8×D11C2311yescharacteristic
330#66951—21no—
331#66951—21no—
332#66951—21no—
333#66951—21no—
334#66951—21no—
335#66950—21no—
336#66950—21no—
337#66950D411yescharacteristic
338#66950D411yescharacteristic
339#66950C2311yescharacteristic
340#66950C2311yescharacteristic
341#66949—21no—
342#66949—21no—
343#66949—21no—
344#66949—21no—
345#66949—21no—
346#66949—21no—
347#66949—21no—
348#66948—21no—
349#66948—21no—
350#66948—21no—
351#66948—21no—
352#66948—21no—
353#66948D411yescharacteristic
354#66948D411yescharacteristic
355#66948C2311yescharacteristic
356#66948C2311yescharacteristic
357#66947—21no—
358#66947—21no—
359#66947—21no—
360#66947—21no—
361#66947—21no—
362#66947—21no—
363#66946—21no—
364#66946—21no—
365#66946—21no—
366#66945—21no—
367#66945C2311yescharacteristic
368#66945C2311yescharacteristic
369C4⋊C4×D11—21no—
370C4⋊C4×D11—21no—
371C4⋊C4×D11C2311yescharacteristic
372C4⋊C4×D11C2311yescharacteristic
373#66943—21no—
374#66941—21no—
375#66941—21no—
376#66940—21no—
377#66940—21no—
378#66939D411yescharacteristic
379#66939D411yescharacteristic
380#66938—21no—
381#66938—21no—
382#66938—21no—
383#66938—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#66935D411yescharacteristic
396#66935D411yescharacteristic
397(C22⋊D11)⋊C4—21no—
398(C22⋊D11)⋊C4—21no—
399(C22⋊D11)⋊C4—21no—
400(C22⋊D11)⋊C4—21no—
401(C22⋊D11)⋊C4—21no—
402C22⋊C4×D11—21no—
403#66931—21no—
404#66931—21no—
405#66931—21no—
406#66931—21no—
407#66931—21no—
408#66930—21no—
409#66930—21no—
410#66928—21no—
411#66928—21no—
412#66928—21no—
413#66928C2311yescharacteristic
414C4×D44—21no—
415C4×D44—21no—
416C4×D44—21no—
417C4×D44C2311yescharacteristic
418C4×D44C2311yescharacteristic
419C4×D44C2311yescharacteristic
420C4×D44C2311yescharacteristic
421C4×D44C2311yescharacteristic
422#66923—21no—
423#66922C2311yescharacteristic
424C4×Dic22—21no—
425C4×Dic22C2311yescharacteristic
426C4×Dic22C2311yescharacteristic
427C4×Dic22C2311yescharacteristic
428C4×Dic22C2311yescharacteristic
429C4×Dic22C2311yescharacteristic
430C11×C4⋊C8C2311yescharacteristic
431C11×C4⋊C8C2311yescharacteristic
432C11×#103C2311yescharacteristic
433C11×#103C2311yescharacteristic
434C11×#102C2311yescharacteristic
435C11×#102C2311yescharacteristic
436C11×#102C2311yescharacteristic
437C11×#102C2311yescharacteristic
438C11×#102C2311yescharacteristic
439C11×#102C2311yescharacteristic
440C11×C22⋊C8C2311yescharacteristic
441C11×C22⋊C8C2311yescharacteristic
442C11×#97C2311yescharacteristic
443C4×C8×C11C2311yescharacteristic
444#66899C2311yescharacteristic
445#66899C2311yescharacteristic
446#66899C2311yescharacteristic
447#66899C2311yescharacteristic
448#66899C2311yescharacteristic
449#66899C2311yescharacteristic
450#66896C2311yescharacteristic
451#66896C2311yescharacteristic
452#66896C2311yescharacteristic
453#66896C2311yescharacteristic
454#66896C2311yescharacteristic
455#66896C2311yescharacteristic
456C22⋊(C11⋊C8)C2311yescharacteristic
457C22⋊(C11⋊C8)C2311yescharacteristic
458#66885C2311yescharacteristic
459#66885C2311yescharacteristic
460(C2×D11)⋊C8C2311yescharacteristic
461(C2×D11)⋊C8C2311yescharacteristic
462(C2×D11)⋊C8C2311yescharacteristic
463(C2×D11)⋊C8C2311yescharacteristic
464(C2×D11)⋊C8C2311yescharacteristic
465(C2×D11)⋊C8C2311yescharacteristic
466(C2×D11)⋊C8C2311yescharacteristic
467(C2×D11)⋊C8C2311yescharacteristic
468#66882C2311yescharacteristic
469#66882C2311yescharacteristic
470#66881C2311yescharacteristic
471#66881C2311yescharacteristic
472#66880C2311yescharacteristic
473#66880C2311yescharacteristic
474#66880C2311yescharacteristic
475#66880C2311yescharacteristic
476#66880C2311yescharacteristic
477#66880C2311yescharacteristic
478#66874C2311yescharacteristic
479#66874C2311yescharacteristic
480#66874C2311yescharacteristic
481#66874C2311yescharacteristic
482#66872C2311yescharacteristic
483#66872C2311yescharacteristic
484#66871C2311yescharacteristic
485#66871C2311yescharacteristic
486C4⋊(C11⋊C8)C2311yescharacteristic
487C4⋊(C11⋊C8)C2311yescharacteristic
488#66867C2311yescharacteristic
489C4×C11⋊C8C2311yescharacteristic
490#61615—111nomaximal, Sylow
491C24×C11—21no—
492C23×D11C2×D411yescharacteristic
493C11×#41—41no—
494C11×#41—41no—
495C2×Q8×C11C2411yescharacteristic
496C2×Q8×C11C2411yescharacteristic
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—41no—
505C2×D4×C11—41no—
506C2×D4×C11C2411yescharacteristic
507C2×D4×C11C2411yescharacteristic
508C2×D4×C11C2411yescharacteristic
509C22×C4×C11—21no—
510C22×C4×C11C2411yescharacteristic
511C2×C22⋊D11—21no—
512C2×C22⋊D11—21no—
513C2×C22⋊D11—21no—
514C2×C22⋊D11—21no—
515C2×C22⋊D11—21no—
516C2×C22⋊D11—21no—
517C2×C22⋊D11—21no—
518C2×C22⋊D11—21no—
519C2×C22⋊D11—21no—
520C2×C22⋊D11—21no—
521C2×C22⋊D11—21no—
522C2×C22⋊D11—21no—
523C2×C22⋊D11—21no—
524C2×C22⋊D11—44no—
525C2×C22⋊D11C2×D411yescharacteristic
526C2×C22⋊D11C2×D411yescharacteristic
527C22×Dic11—21no—
528C22×Dic11—21no—
529C22×Dic11—21no—
530C22×Dic11—21no—
531C22×Dic11—21no—
532C22×Dic11—21no—
533C22×Dic11—21no—
534C22×Dic11—44no—
535C22×Dic11C2×D411yescharacteristic
536#4343—41no—
537#4343—41no—
538#4343—41no—
539#4343—41no—
540Q8×D11—22no—
541Q8×D11—22no—
542Q8×D11—41no—
543Q8×D11—41no—
544Q8×D11—41no—
545Q8×D11—41no—
546Q8×D11—41no—
547Q8×D11—41no—
548#4341—22no—
549#4341—22no—
550#4341—22no—
551#4341—22no—
552#4341—22no—
553#4341—22no—
554#4341—41no—
555#4341—41no—
556#4341—41no—
557#4341—41no—
558#4341—41no—
559#4341—41no—
560#4341—44no—
561#4341—44no—
562#4341—44no—
563#4341—44no—
564#4339—41no—
565#4339—41no—
566#4339—44no—
567C2×D44—21no—
568C2×D44—21no—
569C2×D44—21no—
570C2×D44—21no—
571C2×D44C2×D411yescharacteristic
572C2×D44C2×D411yescharacteristic
573C2×D44C2×D411yescharacteristic
574C2×D44C2×D411yescharacteristic
575C2×D44C2×D411yescharacteristic
576C2×D44C2411yescharacteristic
577C2×C4×D11—21no—
578C2×C4×D11—21no—
579C2×C4×D11—21no—
580C2×C4×D11—21no—
581C2×C4×D11—21no—
582C2×C4×D11—21no—
583C2×C4×D11—21no—
584C2×C4×D11—21no—
585C2×C4×D11—21no—
586C2×C4×D11—41no—
587C2×C4×D11—41no—
588C2×C4×D11C2×D411yescharacteristic
589C2×C4×D11C2×D411yescharacteristic
590C2×C4×D11C2411yescharacteristic
591C2×C4×D11C2411yescharacteristic
592C2×C4×D11C2411yescharacteristic
593C2×C4×D11C2411yescharacteristic
594C2×Dic22—22no—
595C2×Dic22—22no—
596C2×Dic22—21no—
597C2×Dic22—21no—
598C2×Dic22—21no—
599C2×Dic22—21no—
600C2×Dic22—21no—
601C2×Dic22—21no—
602C2×Dic22—44no—
603C2×Dic22C2×D411yescharacteristic
604C2×Dic22C2411yescharacteristic
605C2×Dic22C2411yescharacteristic
606C2×Dic22C2411yescharacteristic
607C11×Q16—41no—
608C11×Q16—41no—
609C11×SD16—41no—
610C11×SD16—41no—
611C11×SD16—41no—
612C11×SD16—41no—
613C11×SD16—41no—
614C11×SD16—41no—
615C2×C8×C11C2411yescharacteristic
616C2×C8×C11C2411yescharacteristic
617C2×C8×C11C2411yescharacteristic
618C2×C8×C11C2411yescharacteristic
619C11×C4⋊C4—21no—
620C11×C4⋊C4—21no—
621C11×C4⋊C4—21no—
622C11×C4⋊C4—21no—
623C11×C4⋊C4—21no—
624C11×C4⋊C4—21no—
625C11×C4⋊C4—21no—
626C11×C4⋊C4—21no—
627C11×C4⋊C4C2×D411yescharacteristic
628C11×C4⋊C4C2×D411yescharacteristic
629C11×C4⋊C4C2411yescharacteristic
630C11×C4⋊C4C2411yescharacteristic
631C11×C22⋊C4—21no—
632C11×C22⋊C4—21no—
633C11×C22⋊C4—21no—
634C11×C22⋊C4—21no—
635C11×C22⋊C4—21no—
636C11×C22⋊C4—21no—
637C11×C22⋊C4C2×D411yescharacteristic
638C11×C22⋊C4C2×D411yescharacteristic
639C42×C11—21no—
640C42×C11—21no—
641C42×C11C2411yescharacteristic
642C42×C11C2411yescharacteristic
643C22⋊Dic11—21no—
644C22⋊Dic11—21no—
645C22⋊Dic11—21no—
646C22⋊Dic11—21no—
647C22⋊Dic11—21no—
648C22⋊Dic11—21no—
649C22⋊Dic11—21no—
650C22⋊Dic11—21no—
651#4326—22no—
652#4326—22no—
653#4326—22no—
654#4326—22no—
655#4326—41no—
656#4325—41no—
657#4324—41no—
658#4324—41no—
659#4324—41no—
660#4323—41no—
661#4323—41no—
662#4323—41no—
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—
676(C2×D11)⋊C4—21no—
677(C2×D11)⋊C4—21no—
678(C2×D11)⋊C4—21no—
679(C2×D11)⋊C4C2×D411yescharacteristic
680(C2×D11)⋊C4C2×D411yescharacteristic
681(C2×D11)⋊C4C2×D411yescharacteristic
682(C2×D11)⋊C4C2×D411yescharacteristic
683(C2×D11)⋊C4C2×D411yescharacteristic
684(C2×D11)⋊C4C2×D411yescharacteristic
685(C2×D11)⋊C4C2×D411yescharacteristic
686(C2×D11)⋊C4C2×D411yescharacteristic
687C4⋊Dic11—21no—
688C4⋊Dic11—21no—
689C4⋊Dic11—21no—
690C4⋊Dic11C2×D411yescharacteristic
691C4⋊Dic11C2×D411yescharacteristic
692C4⋊Dic11C2×D411yescharacteristic
693C4⋊Dic11C2×D411yescharacteristic
694C4⋊Dic11C2411yescharacteristic
695C4⋊Dic11C2411yescharacteristic
696C4⋊Dic11C2411yescharacteristic
697C4⋊Dic11C2411yescharacteristic
698Dic11⋊C4—21no—
699Dic11⋊C4—21no—
700Dic11⋊C4—21no—
701Dic11⋊C4—21no—
702Dic11⋊C4—21no—
703Dic11⋊C4—21no—
704Dic11⋊C4—21no—
705Dic11⋊C4—21no—
706Dic11⋊C4—21no—
707Dic11⋊C4—21no—
708Dic11⋊C4—21no—
709Dic11⋊C4—21no—
710Dic11⋊C4—21no—
711Dic11⋊C4—21no—
712C4×Dic11—21no—
713C4×Dic11—21no—
714C4×Dic11—21no—
715C4×Dic11—21no—
716C4×Dic11—21no—
717C4×Dic11—21no—
718C4×Dic11—21no—
719C4×Dic11—21no—
720C2×C11⋊C8C2411yescharacteristic
721C2×C11⋊C8C2411yescharacteristic
722C2×C11⋊C8C2411yescharacteristic
723C2×C11⋊C8C2411yescharacteristic
724Dic44—22no—
725Dic44—22no—
726#4314—22no—
727#4314—22no—
728#4313—41no—
729#4313—41no—
730#4313—41no—
731#4313—41no—
732C8×D11—41no—
733C8×D11—41no—
734C8×D11—41no—
735C8×D11—41no—
736#3541—111no—
737#3487—111no—
738#3333—111no—
739#3326—111no—
740#3317—111no—
741#3316—111no—
742#3313—111no—
743#3309—111no—
744#3304—111no—
745#3300—111no—
746#3285—111no—
747#3284—111no—
748#3278—111no—
749#3277—111no—
750#3271—111no—
751#3271—111no—
752#3270—111no—
753#3269—111no—
754#3224—111no—
755#3222D1111yescharacteristic, complemented
756#3200—111no—
757#3198—111no—
758#3197—111no—
759#3190—111no—
760#3127—111no—
761#3121—111no—
762#3013—111no—
763#3011—111no—
764#3007—111no—
765#3002—111no—
766#2976—111no—
767C23×C11—21no—
768C23×C11—21no—
769C23×C11—21no—
770C23×C11—42no—
771C23×C11—81no—
772C23×C11—81no—
773C23×C11C22×D411yescharacteristic
774C22×D11—21no—
775C22×D11—41no—
776C22×D11—41no—
777C22×D11—41no—
778C22×D11C22×D411yescharacteristic
779C22×D11C22×D411yescharacteristic
780C22×D11C22×D411yescharacteristic
781C22×D11C22×D411yescharacteristic
782Q8×C11—21no—
783Q8×C11—21no—
784Q8×C11—21no—
785Q8×C11—21no—
786Q8×C11—21no—
787Q8×C11—21no—
788D4×C11—21no—
789D4×C11—21no—
790D4×C11—21no—
791D4×C11—21no—
792D4×C11—21no—
793D4×C11—21no—
794D4×C11—42no—
795D4×C11—42no—
796D4×C11—81no—
797D4×C11—81no—
798D4×C11—81no—
799D4×C11—81no—
800C2×C4×C11—21no—
801C2×C4×C11—21no—
802C2×C4×C11—21no—
803C2×C4×C11—21no—
804C2×C4×C11—21no—
805C2×C4×C11—21no—
806C2×C4×C11—21no—
807C2×C4×C11—42no—
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—41no—
815C22⋊D11—41no—
816C22⋊D11—42no—
817C22⋊D11—42no—
818C22⋊D11—42no—
819C22⋊D11—42no—
820C22⋊D11—42no—
821C22⋊D11—42no—
822C22⋊D11—81no—
823C22⋊D11—81no—
824C22⋊D11—81no—
825C22⋊D11—81no—
826C22⋊D11—81no—
827C22⋊D11—81no—
828C22⋊D11—81no—
829C2×Dic11—24no—
830C2×Dic11—21no—
831C2×Dic11—21no—
832C2×Dic11—21no—
833C2×Dic11—21no—
834C2×Dic11—21no—
835C2×Dic11—21no—
836C2×Dic11—21no—
837C2×Dic11—41no—
838C2×Dic11—42no—
839C2×Dic11—42no—
840C2×Dic11—42no—
841C2×Dic11—42no—
842C2×Dic11—42no—
843C2×Dic11—42no—
844C2×Dic11C22×D411yescharacteristic
845C2×Dic11C22×D411yescharacteristic
846C2×Dic11C22×D411yescharacteristic
847C2×Dic11C22×D411yescharacteristic
848D44—21no—
849D44—21no—
850D44—41no—
851D44—41no—
852D44—41no—
853D44—41no—
854D44—41no—
855D44—42no—
856D44—81no—
857D44—81no—
858D44—81no—
859C4×D11—21no—
860C4×D11—21no—
861C4×D11—21no—
862C4×D11—21no—
863C4×D11—21no—
864C4×D11—21no—
865C4×D11—21no—
866C4×D11—21no—
867C4×D11—41no—
868C4×D11—41no—
869C4×D11—42no—
870C4×D11—42no—
871C4×D11—81no—
872C4×D11—81no—
873C4×D11—81no—
874C4×D11—81no—
875C4×D11—81no—
876C4×D11—81no—
877C4×D11—81no—
878Dic22—24no—
879Dic22—21no—
880Dic22—21no—
881Dic22—21no—
882Dic22—21no—
883Dic22—41no—
884Dic22—42no—
885Dic22—42no—
886Dic22—81no—
887Dic22—81no—
888Dic22—81no—
889Dic22H(5,𝔽2)12yes—
890Dic22H(5,𝔽2)12yes—
891C8×C11—21no—
892C8×C11—21no—
893C8×C11—21no—
894C8×C11—21no—
895C11⋊C8—21no—
896C11⋊C8—21no—
897C11⋊C8—21no—
898C11⋊C8—21no—
899C2×2−1+4—111no—
900C22×#41—111no—
901C2×#137—111no—
902C2×#137—111no—
903C2×#137—111no—
904C2×#137—111no—
905C2×#135—111no—
906C2×#135—111no—
907C2×#135—111no—
908C22×Q16—111no—
909#563—221no—
910#562—221no—
911#556—111no—
912#554—111no—
913#554—221no—
914#553—111no—
915#553—221no—
916#552—111no—
917#550—111no—
918#550—111no—
919#550—111no—
920#550—111no—
921#550—221no—
922#550—221no—
923D4×Q8—111no—
924#548—111no—
925#548—111no—
926#548—111no—
927#548—111no—
928#548—111no—
929#548—111no—
930#548—221no—
931#548—221no—
932#547—111no—
933#542—111no—
934#542—221no—
935#541C2×D1111yescharacteristic
936#539—221no—
937#538—221no—
938#538—221no—
939#537—111no—
940#536—111no—
941#535—111no—
942#535—221no—
943#535—221no—
944#535C2×D1111yescharacteristic
945#525—111no—
946#525—111no—
947#525—111no—
948#525—221no—
949#525—221no—
950C2×C22⋊Q8—111no—
951#519—111no—
952#497C2×D1111yescharacteristic, complemented
953#496—111no—
954#495—111no—
955#492C2×D1111yescharacteristic, complemented
956#490C2×D1111yescharacteristic, complemented
957#489—111no—
958#488C2×D1111yescharacteristic, complemented
959#486—111no—
960#485—111no—
961#485—111no—
962#485—111no—
963#485—111no—
964#483—111no—
965#482—111no—
966#482—111no—
967#482—111no—
968#482—111no—
969#481—111no—
970#480—111no—
971#480—111no—
972#479—111no—
973#479—111no—
974#477—111no—
975#475—111no—
976#470—111no—
977#469—111no—
978#469—111no—
979#468—111no—
980#468—111no—
981#468—111no—
982#468—111no—
983#468—111no—
984#467—111no—
985#467—111no—
986#466—111no—
987#465—111no—
988#465—111no—
989#465—111no—
990#465—111no—
991#465—111no—
992#464—111no—
993#464—111no—
994#464—111no—
995#464C2×D1111yescharacteristic, complemented
996#464C2×D1111yescharacteristic, complemented
997#463—111no—
998#462—111no—
999#462—111no—
1000#460—111no—
1001#460C2×D1111yescharacteristic, complemented
1002#460C2×D1111yescharacteristic, complemented
1003#459—111no—
1004#452—111no—
1005#452—111no—
1006#452—111no—
1007#452—111no—
1008#452—111no—
1009#452—111no—
1010#452—111no—
1011#452—111no—
1012#452—111no—
1013#452—111no—
1014#452—111no—
1015#452C2×D1111yescharacteristic
1016#452C2×D1111yescharacteristic
1017#451—111no—
1018#451—111no—
1019#451—111no—
1020#451—111no—
1021#451—111no—
1022#451—111no—
1023#451—111no—
1024#450—111no—
1025#450C2×D1111yescharacteristic
1026#450C2×D1111yescharacteristic
1027#449—111no—
1028#449—111no—
1029#449—111no—
1030#449—111no—
1031#449—111no—
1032#449—111no—
1033#449—111no—
1034#448—111no—
1035#448—111no—
1036#448—111no—
1037#448—111no—
1038#448—111no—
1039#447—111no—
1040#441—111no—
1041#441—111no—
1042#441—111no—
1043#440—111no—
1044C4×Q16—111no—
1045C4×Q16—111no—
1046C4×Q16—111no—
1047C4×SD16—111no—
1048#436—111no—
1049#436—111no—
1050#435—111no—
1051#435—111no—
1052#435—111no—
1053#435—111no—
1054C8×D4—111no—
1055C8×D4—111no—
1056#433—111no—
1057#433C2×D1111yescharacteristic
1058#419—111no—
1059#417—111no—
1060#417—111no—
1061#417—111no—
1062#416—111no—
1063#416—111no—
1064#416—111no—
1065C2×#103—111no—
1066#408—111no—
1067#408—111no—
1068#407—111no—
1069C2×C22⋊C8—111no—
1070C22×C11—21no—
1071C22×C11—21no—
1072C22×C11—21no—
1073C22×C11—41no—
1074C22×C11—41no—
1075C22×C11—41no—
1076C22×C11—41no—
1077C22×C11—41no—
1078C22×C11—41no—
1079C22×C11—41no—
1080C22×C11—41no—
1081C22×C11—41no—
1082C22×C11—84no—
1083C22×C11C23×D411yescharacteristic
1084C2×D11—21no—
1085C2×D11—21no—
1086C2×D11—21no—
1087C2×D11—21no—
1088C2×D11—21no—
1089C2×D11—21no—
1090C2×D11—21no—
1091C2×D11—21no—
1092C2×D11—21no—
1093C2×D11—21no—
1094C2×D11—21no—
1095C2×D11—21no—
1096C2×D11—41no—
1097C2×D11—41no—
1098C2×D11—41no—
1099C2×D11—82no—
1100C4×C11—21no—
1101C4×C11—21no—
1102C4×C11—21no—
1103C4×C11—21no—
1104C4×C11—21no—
1105C4×C11—41no—
1106C4×C11—41no—
1107C4×C11—41no—
1108C4×C11—41no—
1109C4×C11—41no—
1110C4×C11C2×H(5,𝔽2)11yescharacteristic
1111C4×C11C2×H(5,𝔽2)11yescharacteristic
1112Dic11—22no—
1113Dic11—22no—
1114Dic11—21no—
1115Dic11—21no—
1116Dic11—21no—
1117Dic11—21no—
1118Dic11—41no—
1119Dic11—41no—
1120Dic11—41no—
1121Dic11—41no—
1122Dic11—41no—
11232−1+4—442no—
11242−1+4—442no—
1125C2×#41—111no—
1126C2×#41—111no—
1127C2×#41—111no—
1128C2×#41—111no—
1129C2×#41—111no—
1130C2×#41—111no—
1131C2×#41—111no—
1132C2×#41—111no—
1133C2×#41—111no—
1134C2×#41—221no—
1135C2×#41—221no—
1136C2×#41—221no—
1137C2×#41—221no—
1138C2×#41—221no—
1139C2×#41—442no—
1140C2×#41—442no—
1141C2×#41C22×D1111yescharacteristic
1142C22×Q8—111no—
1143C22×Q8—111no—
1144C22×Q8—111no—
1145C22×Q8—111no—
1146C22×Q8—111no—
1147C22×Q8—221no—
1148C22×D4—221no—
1149C22×D4C22×D1111yescharacteristic
1150C23×C4—111no—
1151C23×C4—221no—
1152#137—442no—
1153#137—442no—
1154#137—442no—
1155#137—442no—
1156#135—442no—
1157#135—442no—
1158#135—442no—
1159C2×Q16—111no—
1160C2×Q16—111no—
1161C2×Q16—111no—
1162C2×Q16—111no—
1163C2×Q16—111no—
1164C2×Q16—111no—
1165C2×Q16—111no—
1166C2×Q16—442no—
1167C2×Q16C22×D1111yescharacteristic
1168C2×Q16C22×D1111yescharacteristic
1169C2×SD16—111no—
1170C2×SD16—111no—
1171C2×SD16—111no—
1172C2×SD16—111no—
1173C2×SD16—111no—
1174C2×SD16—111no—
1175C2×SD16C22×D1111yescharacteristic
1176C2×SD16C22×D1111yescharacteristic
1177C2×SD16C22×D1111yescharacteristic
1178C2×SD16C22×D1111yescharacteristic
1179C2×SD16C22×D1111yescharacteristic
1180C2×SD16C22×D1111yescharacteristic
1181C2×D8—111no—
1182C2×D8—111no—
1183C2×D8—111no—
1184C2×M16—111no—
1185C2×M16—111no—
1186C2×M16—111no—
1187C2×M16—111no—
1188C22×C8—111no—
1189C22×C8—111no—
1190C22×C8—111no—
1191C22×C8—111no—
1192C4⋊Q8—111no—
1193C4⋊Q8—221no—
1194C4⋊Q8—221no—
1195C4⋊Q8C22×D1111yescharacteristic
1196#127—221no—
1197#127—221no—
1198#127—221no—
1199#127—221no—
1200#127—221no—
1201#127C22×D1111yescharacteristic
1202#127C22×D1111yescharacteristic
1203#126—21no—
1204#126—21no—
1205#126—221no—
1206#126—221no—
1207#126—221no—
1208#126—221no—
1209#126—221no—
1210#125—21no—
1211#125—21no—
1212#125—221no—
1213#125—221no—
1214#125C22×D1111yescharacteristic
1215#124—111no—
1216#124—221no—
1217#124—221no—
1218#124—221no—
1219#124—221no—
1220#124—221no—
1221#124—221no—
1222#124—221no—
1223#124—221no—
1224#124—221no—
1225#124—221no—
1226#124C22×D1111yescharacteristic
1227#124C22×D1111yescharacteristic
1228#123—111no—
1229#123—111no—
1230#123—221no—
1231#123—221no—
1232#123—221no—
1233#123—221no—
1234#123—221no—
1235#123—221no—
1236#123—221no—
1237#123—221no—
1238#123—221no—
1239C22⋊Q8—111no—
1240C22⋊Q8—111no—
1241C22⋊Q8—111no—
1242C22⋊Q8—111no—
1243C22⋊Q8—111no—
1244C22⋊Q8—111no—
1245C22⋊Q8—111no—
1246C22⋊Q8—111no—
1247C22⋊Q8—111no—
1248C22⋊Q8—111no—
1249C22⋊Q8—111no—
1250C22⋊Q8—221no—
1251C22⋊Q8—221no—
1252C22⋊Q8—221no—
1253C22⋊Q8—221no—
1254C22⋊Q8—221no—
1255C22⋊Q8—221no—
1256C22⋊Q8—221no—
1257C22⋊Q8—221no—
1258C22⋊Q8—221no—
1259C22⋊Q8—221no—
1260C22⋊Q8—221no—
1261C22⋊Q8—221no—
1262C22⋊Q8—221no—
1263C22⋊Q8—221no—
1264C22⋊Q8C22×D1111yescharacteristic
1265C22⋊Q8C22×D1111yescharacteristic
1266#121—21no—
1267#121—21no—
1268#121—111no—
1269#121—111no—
1270#121—111no—
1271#121—111no—
1272#121—111no—
1273#121—111no—
1274#121—111no—
1275#121—111no—
1276#121—111no—
1277#121—111no—
1278#121—111no—
1279#121—221no—
1280#121—221no—
1281#121—221no—
1282#121—221no—
1283#121—221no—
1284#121—221no—
1285#121—221no—
1286#121—221no—
1287#121—221no—
1288#121—221no—
1289#121—221no—
1290#121—221no—
1291#121—221no—
1292#121—221no—
1293#121—221no—
1294#121—221no—
1295#121—221no—
1296#121—221no—
1297#121—221no—
1298#120—21no—
1299#120—21no—
1300#120—111no—
1301#120—111no—
1302#120—221no—
1303#120—221no—
1304#120—221no—
1305#120—221no—
1306C4×Q8—111no—
1307C4×Q8—111no—
1308C4×Q8—111no—
1309C4×Q8—111no—
1310C4×Q8—111no—
1311C4×Q8—221no—
1312C4×Q8—221no—
1313C4×Q8—221no—
1314C4×Q8C22×D1111yescharacteristic
1315C4×Q8C22×D1111yescharacteristic
1316C4×D4—111no—
1317C4×D4—111no—
1318C4×D4—111no—
1319C4×D4—111no—
1320C4×D4—111no—
1321C4×D4—221no—
1322C4×D4—221no—
1323C4×D4—221no—
1324C4×D4—221no—
1325C4×D4—221no—
1326C4×D4—221no—
1327C4×D4—221no—
1328C4×D4—221no—
1329C4×D4—221no—
1330C4×D4—221no—
1331C4×D4—221no—
1332C4×D4—221no—
1333C4×D4—221no—
1334C4×D4—221no—
1335C4×D4—221no—
1336C4×D4—221no—
1337C4×D4—221no—
1338#117—111no—
1339#117—111no—
1340#117—111no—
1341#117—221no—
1342#117—221no—
1343#117—221no—
1344#117C22×D1111yescharacteristic
1345C2×C4⋊C4—111no—
1346C2×C4⋊C4—111no—
1347C2×C4⋊C4—221no—
1348C2×C4⋊C4—221no—
1349C2×C22⋊C4—221no—
1350#107—111no—
1351#107—111no—
1352#107—111no—
1353#107—111no—
1354#106—111no—
1355#106—111no—
1356#106—111no—
1357#106—111no—
1358C4⋊C8—111no—
1359C4⋊C8—111no—
1360C4⋊C8C22×D1111yescharacteristic
1361C4⋊C8C22×D1111yescharacteristic
1362#103—111no—
1363#103—111no—
1364#103—111no—
1365#103—111no—
1366#103—111no—
1367#103—111no—
1368#103—111no—
1369#103—111no—
1370#103—111no—
1371#103—111no—
1372#103—111no—
1373#103—111no—
1374#103—111no—
1375#103—111no—
1376#103—111no—
1377#103—111no—
1378#103C22×D1111yescharacteristic
1379#103C22×D1111yescharacteristic
1380#102—111no—
1381#102—111no—
1382#102—111no—
1383#102—111no—
1384#102—111no—
1385#102—111no—
1386#102—111no—
1387#102—111no—
1388#102C22×D1111yescharacteristic
1389#102C22×D1111yescharacteristic
1390#102C22×D1111yescharacteristic
1391#102C22×D1111yescharacteristic
1392#102C22×D1111yescharacteristic
1393#102C22×D1111yescharacteristic
1394C22⋊C8—111no—
1395C22⋊C8—111no—
1396C22⋊C8—111no—
1397C22⋊C8—111no—
1398C22⋊C8—111no—
1399C22⋊C8—111no—
1400C22⋊C8—111no—
1401C22⋊C8—111no—
1402C22⋊C8—111no—
1403C22⋊C8—111no—
1404C22⋊C8C22×D1111yescharacteristic
1405C22⋊C8C22×D1111yescharacteristic
1406#97—111no—
1407#97C22×D1111yescharacteristic
1408C4×C8—111no—
1409C4×C8C22×D1111yescharacteristic
1410C2×C11—41no—
1411C2×C11—81no—
1412C2×C11—81no—
1413C2×C11—81no—
1414C2×C11#348411yescharacteristic
1415C2×C11#358411yescharacteristic
1416C2×C11#358611yescharacteristic
1417D11—41no—
1418D11—41no—
1419D11—41no—
1420D11—41no—
1421D11—81no—
1422C24—21no—
1423C24—111no—
1424#41—41no—
1425#41—41no—
1426#41—222no—
1427#41—222no—
1428#41—222no—
1429#41—222no—
1430#41—222no—
1431#41—222no—
1432#41—441no—
1433#41—441no—
1434#41—444no—
1435#41—441no—
1436#41—441no—
1437#41—441no—
1438#41—441no—
1439#41—441no—
1440#41—441no—
1441#41—444no—
1442#41—444no—
1443#41—441no—
1444#41—441no—
1445#41—441no—
1446#41—441no—
1447#41—444no—
1448#41—444no—
1449C2×Q8—111no—
1450C2×Q8—111no—
1451C2×Q8—111no—
1452C2×Q8—111no—
1453C2×Q8—221no—
1454C2×Q8—221no—
1455C2×Q8—221no—
1456C2×Q8—221no—
1457C2×Q8—222no—
1458C2×Q8—222no—
1459C2×Q8—221no—
1460C2×Q8—221no—
1461C2×Q8—222no—
1462C2×Q8—222no—
1463C2×Q8—444no—
1464C2×Q8—441no—
1465C2×Q8—441no—
1466C2×Q8—441no—
1467C2×Q8—441no—
1468C2×Q8—441no—
1469C2×Q8—441no—
1470C2×Q8C23×D1111yescharacteristic
1471C2×Q8C23×D1111yescharacteristic
1472C2×Q8C23×D1111yescharacteristic
1473C2×D4—21no—
1474C2×D4—21no—
1475C2×D4—21no—
1476C2×D4—21no—
1477C2×D4—21no—
1478C2×D4—21no—
1479C2×D4—41no—
1480C2×D4—41no—
1481C2×D4—111no—
1482C2×D4—111no—
1483C2×D4—111no—
1484C2×D4—111no—
1485C2×D4—111no—
1486C2×D4—111no—
1487C2×D4—111no—
1488C2×D4—111no—
1489C2×D4—221no—
1490C2×D4—221no—
1491C2×D4—221no—
1492C2×D4—221no—
1493C2×D4—221no—
1494C2×D4—221no—
1495C2×D4—221no—
1496C2×D4—221no—
1497C2×D4—221no—
1498C2×D4—221no—
1499C2×D4—221no—
1500C2×D4—221no—
1501C2×D4—221no—
1502C2×D4—221no—
1503C2×D4—221no—
1504C2×D4—221no—
1505C2×D4—221no—
1506C2×D4—444no—
1507C2×D4C23×D1111yescharacteristic
1508C2×D4C23×D1111yescharacteristic
1509C2×D4C23×D1111yescharacteristic
1510C22×C4—21no—
1511C22×C4—111no—
1512C22×C4—111no—
1513C22×C4—111no—
1514C22×C4—111no—
1515C22×C4—111no—
1516C22×C4—111no—
1517C22×C4—111no—
1518C22×C4—221no—
1519C22×C4—221no—
1520C22×C4—221no—
1521C22×C4—221no—
1522C22×C4—221no—
1523C22×C4—221no—
1524C22×C4—221no—
1525C22×C4—221no—
1526C22×C4—221no—
1527C22×C4—221no—
1528C22×C4—221no—
1529C22×C4—221no—
1530C22×C4—221no—
1531C22×C4—221no—
1532C22×C4—221no—
1533C22×C4—221no—
1534C22×C4—441no—
1535C22×C4—441no—
1536C22×C4—444no—
1537C22×C4C23×D1111yescharacteristic
1538Q16—41no—
1539Q16—41no—
1540Q16—222no—
1541Q16—222no—
1542Q16—222no—
1543Q16—222no—
1544Q16—222no—
1545Q16—222no—
1546Q16—441no—
1547SD16—41no—
1548SD16—41no—
1549SD16—41no—
1550SD16—41no—
1551SD16—41no—
1552SD16—41no—
1553SD16—222no—
1554SD16—222no—
1555SD16—441no—
1556SD16—441no—
1557SD16—441no—
1558SD16—441no—
1559D8—441no—
1560D8—441no—
1561D8—441no—
1562M16—441no—
1563M16—441no—
1564M16—441no—
1565M16—441no—
1566C2×C8—111no—
1567C2×C8—111no—
1568C2×C8—111no—
1569C2×C8—111no—
1570C2×C8—441no—
1571C2×C8—441no—
1572C2×C8—441no—
1573C2×C8—441no—
1574C2×C8C23×D1111yescharacteristic
1575C2×C8C23×D1111yescharacteristic
1576C2×C8C23×D1111yescharacteristic
1577C2×C8C23×D1111yescharacteristic
1578C4⋊C4—21no—
1579C4⋊C4—21no—
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—21no—
1583C4⋊C4—21no—
1584C4⋊C4—21no—
1585C4⋊C4—21no—
1586C4⋊C4—111no—
1587C4⋊C4—111no—
1588C4⋊C4—111no—
1589C4⋊C4—111no—
1590C4⋊C4—111no—
1591C4⋊C4—111no—
1592C4⋊C4—111no—
1593C4⋊C4—111no—
1594C4⋊C4—221no—
1595C4⋊C4—221no—
1596C4⋊C4—221no—
1597C4⋊C4—221no—
1598C4⋊C4—221no—
1599C4⋊C4—221no—
1600C4⋊C4—221no—
1601C4⋊C4—221no—
1602C4⋊C4—221no—
1603C4⋊C4—221no—
1604C4⋊C4—221no—
1605C4⋊C4—221no—
1606C4⋊C4—221no—
1607C4⋊C4—221no—
1608C4⋊C4—221no—
1609C4⋊C4—221no—
1610C4⋊C4—221no—
1611C4⋊C4D4×D1111yescharacteristic
1612C4⋊C4D4×D1111yescharacteristic
1613C4⋊C4C23×D1111yescharacteristic
1614C4⋊C4C23×D1111yescharacteristic
1615C22⋊C4—21no—
1616C22⋊C4—21no—
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—111no—
1622C22⋊C4—111no—
1623C22⋊C4—111no—
1624C22⋊C4—111no—
1625C22⋊C4—111no—
1626C22⋊C4—111no—
1627C22⋊C4—111no—
1628C22⋊C4—111no—
1629C22⋊C4—221no—
1630C22⋊C4—221no—
1631C22⋊C4—221no—
1632C22⋊C4—221no—
1633C22⋊C4—221no—
1634C22⋊C4—221no—
1635C22⋊C4—221no—
1636C22⋊C4—221no—
1637C22⋊C4—221no—
1638C22⋊C4—221no—
1639C22⋊C4—221no—
1640C22⋊C4—221no—
1641C22⋊C4—221no—
1642C22⋊C4—221no—
1643C22⋊C4—221no—
1644C22⋊C4—221no—
1645C22⋊C4—221no—
1646C22⋊C4—221no—
1647C22⋊C4—221no—
1648C22⋊C4—221no—
1649C22⋊C4—221no—
1650C22⋊C4—221no—
1651C22⋊C4—221no—
1652C22⋊C4—221no—
1653C22⋊C4D4×D1111yescharacteristic
1654C22⋊C4D4×D1111yescharacteristic
1655C42—21no—
1656C42—21no—
1657C42—221no—
1658C42—221no—
1659C42—221no—
1660C42—221no—
1661C42—221no—
1662C42—221no—
1663C42—221no—
1664C42—221no—
1665C42C23×D1111yescharacteristic
1666C42C23×D1111yescharacteristic
1667C11#6161511yescharacteristic, complemented, Sylow
1668C23—21no—
1669C23—21no—
1670C23—21no—
1671C23—42no—
1672C23—81no—
1673C23—81no—
1674C23—111no—
1675C23—111no—
1676C23—111no—
1677C23—111no—
1678C23—221no—
1679C23—441no—
1680C23—441no—
1681C23—441no—
1682C23C2×D4×D1111yescharacteristic
1683Q8—21no—
1684Q8—21no—
1685Q8—21no—
1686Q8—21no—
1687Q8—21no—
1688Q8—21no—
1689Q8—112no—
1690Q8—112no—
1691Q8—224no—
1692Q8—221no—
1693Q8—221no—
1694Q8—221no—
1695Q8—221no—
1696Q8—441no—
1697Q8—442no—
1698Q8—442no—
1699Q8—881no—
1700Q8—881no—
1701Q8—881no—
1702D4—21no—
1703D4—21no—
1704D4—21no—
1705D4—21no—
1706D4—21no—
1707D4—21no—
1708D4—42no—
1709D4—42no—
1710D4—81no—
1711D4—81no—
1712D4—81no—
1713D4—81no—
1714D4—221no—
1715D4—221no—
1716D4—441no—
1717D4—441no—
1718D4—441no—
1719D4—441no—
1720D4—441no—
1721D4—442no—
1722D4—441no—
1723D4—441no—
1724D4—442no—
1725D4—442no—
1726D4—442no—
1727D4—442no—
1728D4—442no—
1729D4—442no—
1730D4—881no—
1731D4—881no—
1732D4—881no—
1733D4—881no—
1734D4—881no—
1735D4—881no—
1736D4—881no—
1737D4—881no—
1738D4—881no—
1739D4—881no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—42no—
1748C2×C4—111no—
1749C2×C4—111no—
1750C2×C4—111no—
1751C2×C4—111no—
1752C2×C4—224no—
1753C2×C4—221no—
1754C2×C4—221no—
1755C2×C4—221no—
1756C2×C4—221no—
1757C2×C4—221no—
1758C2×C4—221no—
1759C2×C4—221no—
1760C2×C4—221no—
1761C2×C4—221no—
1762C2×C4—221no—
1763C2×C4—221no—
1764C2×C4—221no—
1765C2×C4—221no—
1766C2×C4—221no—
1767C2×C4—221no—
1768C2×C4—441no—
1769C2×C4—441no—
1770C2×C4—442no—
1771C2×C4—442no—
1772C2×C4—441no—
1773C2×C4—442no—
1774C2×C4—442no—
1775C2×C4—442no—
1776C2×C4—442no—
1777C2×C4—442no—
1778C2×C4—442no—
1779C2×C4—881no—
1780C2×C4—881no—
1781C2×C4—881no—
1782C2×C4—881no—
1783C2×C4—881no—
1784C2×C4—881no—
1785C2×C4—881no—
1786C2×C4C2×D4×D1111yescharacteristic
1787C2×C4C2×D4×D1111yescharacteristic
1788C2×C4C2×D4×D1111yescharacteristic
1789C2×C4C2×D4×D1111yescharacteristic
1790C2×C4C2×D4×D1111yescharacteristic
1791C2×C4C24×D1111yescharacteristic
1792C8—21no—
1793C8—21no—
1794C8—21no—
1795C8—21no—
1796C8—221no—
1797C8—221no—
1798C8—221no—
1799C8—221no—
1800C22—21no—
1801C22—21no—
1802C22—21no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—84no—
1813C22—221no—
1814C22—221no—
1815C22—221no—
1816C22—221no—
1817C22—221no—
1818C22—221no—
1819C22—221no—
1820C22—221no—
1821C22—221no—
1822C22—221no—
1823C22—221no—
1824C22—221no—
1825C22—441no—
1826C22—441no—
1827C22—441no—
1828C22—882no—
1829C22C22×D4×D1111yescharacteristic
1830C4—21no—
1831C4—21no—
1832C4—21no—
1833C4—21no—
1834C4—21no—
1835C4—41no—
1836C4—41no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—221no—
1841C4—221no—
1842C4—221no—
1843C4—221no—
1844C4—222no—
1845C4—222no—
1846C4—441no—
1847C4—441no—
1848C4—441no—
1849C4—441no—
1850C4—441no—
1851C4D11×H(5,𝔽2)11yescharacteristic
1852C4D11×H(5,𝔽2)11yescharacteristic
1853C2—41no—
1854C2—81no—
1855C2—81no—
1856C2—81no—
1857C2—441no—
1858C2—441no—
1859C2—441no—
1860C2—441no—
1861C2—881no—
1862C2#1308225011yescharacteristic
1863C2#1308338811yescharacteristic
1864C2#1308339811yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3222C2
socleC22×C11C23×D4
hypercenter#3222D11
hypocenterC11#61615
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ #117 ◁ #3222

Complements

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

NH ≅ G/Ntype
1. #13082915C2semidirect
2. #13082272C2semidirect
3. #13080957C2semidirect
4. #13080868C2semidirect
5. #13080741C2semidirect
6. #13080734C2semidirect
7. #13080689C2semidirect
8. #13080621C2semidirect
9. #13080558C2semidirect
10. #13080502C2semidirect
11. #13080352C2semidirect
12. #13080345C2semidirect
13. #13080281C2semidirect
14. #13080268C2semidirect
15. #13080196C2semidirect
16. #13080196C2semidirect
17. #13080185C2semidirect
18. #13080170C2semidirect
19. #13079710C2semidirect
20. #13079485C2semidirect
21. #13079472C2semidirect
22. #13079457C2semidirect
23. #13079395C2semidirect
24. #13078911C2semidirect
25. #13078847C2semidirect
26. #13077935C2semidirect
27. #13077908C2semidirect
28. #13077871C2semidirect
29. #13077835C2semidirect
30. #13077662C2semidirect
31. C11×#3222C2semidirect
38. C2×#66971C22semidirect
39. C2×Q16×D11C22semidirect
42. C2×#66969C22semidirect
45. C2×#66968C22semidirect
46. #10623258C22semidirect
47. #10623257C22semidirect
59. #10623226C22semidirect
60. #10623225C22semidirect
78. #10623115C22semidirect
79. #10623110C22semidirect
80. #10623107C22semidirect
81. #10623107C22semidirect
85. C11×#497C22semidirect
86. C11×#492C22semidirect
87. C11×#490C22semidirect
88. C11×#488C22semidirect
89. C11×#464C22semidirect
90. C11×#464C22semidirect
91. C11×#460C22semidirect
92. C11×#460C22semidirect
102. #10622802C22semidirect
103. #10622801C22semidirect
104. #10622800C22semidirect
105. #10622799C22semidirect
106. #10622799C22semidirect
107. #10622799C22semidirect
108. #10622787C22semidirect
109. #10622787C22semidirect
110. #10622787C22semidirect
115. #10622786C22semidirect
116. #10622786C22semidirect
117. #10622785C22semidirect
118. #10622785C22semidirect
119. #10622785C22semidirect
120. #10622784C22semidirect
121. #10622784C22semidirect
122. #10622784C22semidirect
123. #10622783C22semidirect
124. #10622783C22semidirect
125. #10622783C22semidirect
126. #10622703C22semidirect
127. #10622703C22semidirect
128. #10622688C22semidirect
129. #10622687C22semidirect
130. #10622685C22semidirect
131. #10622683C22semidirect
132. #10622676C22semidirect
133. #10622676C22semidirect
134. #10622672C22semidirect
135. #10622670C22semidirect
136. #10622668C22semidirect
137. #10622667C22semidirect
142. #10622643C22semidirect
143. #10622643C22semidirect
144. C4×#4326C22semidirect
145. C4×#4326C22semidirect
147. #10622464C22semidirect
148. #10622463C22semidirect
149. #10622458C22semidirect
150. #10622458C22semidirect
151. #10622451C22semidirect
152. #10622449C22semidirect
153. #10622449C22semidirect
154. #10622447C22semidirect
155. #10622427C22semidirect
156. #10622426C22semidirect
157. #10622425C22semidirect
158. #10622421C22semidirect
159. #10622419C22semidirect
160. #10622418C22semidirect
161. #10622415C22semidirect
162. D11×#103C22semidirect
163. #10622397C22semidirect
166. #10622396C22semidirect
167. #10622395C22semidirect
168. #10622395C22semidirect
171. #10622394C22semidirect
172. #10622393C22semidirect
173. #10622392C22semidirect
174. #10622392C22semidirect
175. #10622391C22semidirect
176. #10622391C22semidirect
177. #10622390C22semidirect
178. #10622388C22semidirect
179. #10622387C22semidirect
180. #10622387C22semidirect
183. #10622385C22semidirect
186. #10622384C22semidirect
195. #10622329C22semidirect
196. #10622323C22semidirect
197. #10622319C22semidirect
198. #10622319C22semidirect
199. C4×Dic44C22semidirect
200. C4×#4314C22semidirect
201. #10622301C22semidirect
202. C8×D44C22semidirect
755. #3222D11semidirect
952. #497C2×D11semidirect
955. #492C2×D11semidirect
956. #490C2×D11semidirect
958. #488C2×D11semidirect
995. #464C2×D11semidirect
996. #464C2×D11semidirect
1001. #460C2×D11semidirect
1002. #460C2×D11semidirect
1667. C11#61615semidirect

Maximal subgroups

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

subgroupindex
#130829152
#130822722
#130809572
#130808682
#130807412
#130807342
#130806892
#130806212
#130805582
#130805022
#130803522
#130803452
#130802812
#130802682
#130801962
#130801852
#130801702
#130797102
#130794852
#130794722
#130794572
#130793952
#130789112
#130788472
#130779352
#130779082
#130778712
#130778352
#130776622
C11×#32222
#6161511