Finite Group Databasebeta

← #15625713

Subgroups — #15625713

Order 2816.

2104 conjugacy classes of subgroups.

The subgroup lattice has 1898 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082405C211yesmaximal, characteristic, complemented
2#13082031C211yesmaximal, characteristic, complemented
3#13079725C211yesmaximal, characteristic, complemented
4#13079724C211yesmaximal, characteristic, complemented
5#13079712C211yesmaximal, characteristic, complemented
6#13079709C211yesmaximal, characteristic, complemented
7#13079676C211yesmaximal, characteristic, complemented
8#13079663C211yesmaximal, characteristic, complemented
9#13079660C211yesmaximal, characteristic, complemented
10#13079656C211yesmaximal, characteristic, complemented
11#13079651C211yesmaximal, characteristic, complemented
12#13079602C211yesmaximal, characteristic, complemented
13#13079598C211yesmaximal, characteristic, complemented
14#13079582C211yesmaximal, characteristic, complemented
15#13079580C211yesmaximal, characteristic, complemented
16#13079547C211yesmaximal, characteristic, complemented
17#13079546C211yesmaximal, characteristic, complemented
18#13079100C211yesmaximal, characteristic, complemented
19#13079085C211yesmaximal, characteristic, complemented
20#13078982C211yesmaximal, characteristic, complemented
21#13078969C211yesmaximal, characteristic, complemented
22#13078105C211yesmaximal, characteristic, complemented
23#13078081C211yesmaximal, characteristic, complemented
24#13078072C211yesmaximal, characteristic, complemented
25D11×#463C211yesmaximal, characteristic, complemented
26#13077926C211yesmaximal, characteristic, complemented
27#13077918C211yesmaximal, characteristic, complemented
28#13077897C211yesmaximal, characteristic, complemented
29#13077881C211yesmaximal, characteristic, complemented
30#13077279C211yesmaximal, characteristic, complemented
31C11×#3221C211yesmaximal, characteristic, complemented
32C2×#67042C2211yescharacteristic
33C2×#67040C2211yescharacteristic
34C11×#540C2211yescharacteristic, complemented
35C11×#536C2211yescharacteristic, complemented
36#10623363C2211yescharacteristic, complemented
37C2×#67000C2211yescharacteristic, complemented
38C2×#66969C2211yescharacteristic
39C2×#66969C2211yescharacteristic, complemented
40C2×#66968C2211yescharacteristic, complemented
41C2×#66967C2211yescharacteristic
42C2×#66967C2211yescharacteristic, complemented
43C2×SD16×D11C2211yescharacteristic, complemented
44C2×#66964C2211yescharacteristic
45C2×D8×D11C2211yescharacteristic
46#10623256C2211yescharacteristic
47#10623256C2211yescharacteristic, complemented
48#10623255C2211yescharacteristic
49#10623255C2211yescharacteristic, complemented
50#10623247C2211yescharacteristic, complemented
51#10623246C2211yescharacteristic, complemented
52#10623222C2211yescharacteristic, complemented
53#10623220C2211yescharacteristic, complemented
54#10623205C2211yescharacteristic
55#10623205C2211yescharacteristic, complemented
56D11×#124C2211yescharacteristic
57D11×#124C2211yescharacteristic, complemented
58#10623193—21no—
59#10623188—21no—
60#10623187—21no—
61#10623185—21no—
62#10623185—21no—
63#10623185—21no—
64#10623185—21no—
65#10623180—21no—
66#10623164—21no—
67#10623164—21no—
68#10623161—21no—
69#10623161—21no—
70#10623146—21no—
71#10623144—21no—
72#10623139C2211yescharacteristic
73#10623138C2211yescharacteristic
74#10623137—21no—
75#10623131C2211yescharacteristic, complemented
76#10623127—21no—
77#10623127C2211yescharacteristic, complemented
78#10623093C2211yescharacteristic, complemented
79#10623092C2211yescharacteristic, complemented
80C4×D4×D11C2211yescharacteristic, complemented
81C4×#4341C2211yescharacteristic, complemented
82#10623065C2211yescharacteristic, complemented
83#10623056C2211yescharacteristic, complemented
84#10623053C2211yescharacteristic
85C11×#496C2211yescharacteristic, complemented
86C11×#492C2211yescharacteristic, complemented
87C11×#491C2211yescharacteristic, complemented
88C11×#488C2211yescharacteristic, complemented
89C11×#463C2211yescharacteristic, complemented
90C11×#463C2211yescharacteristic, complemented
91C11×#461C2211yescharacteristic, complemented
92C11×#461C2211yescharacteristic, complemented
93C11×#449C2211yescharacteristic
94C11×#449C2211yescharacteristic, complemented
95C11×#448C2211yescharacteristic, complemented
96C11×#448C2211yescharacteristic, complemented
97C11×#433C2211yescharacteristic, complemented
98#10622852C2211yescharacteristic, complemented
99#10622851C2211yescharacteristic
100#10622841C2211yescharacteristic, complemented
101#10622840C2211yescharacteristic, complemented
102#10622789C2211yescharacteristic, complemented
103#10622789C2211yescharacteristic, complemented
104#10622788C2211yescharacteristic, complemented
105#10622785C2211yescharacteristic
106#10622785C2211yescharacteristic, complemented
107#10622785C2211yescharacteristic, complemented
108#10622785C2211yescharacteristic, complemented
109#10622783C2211yescharacteristic, complemented
110#10622783C2211yescharacteristic, complemented
111#10622781C2211yescharacteristic, complemented
112#10622781C2211yescharacteristic, complemented
113#10622780C2211yescharacteristic, complemented
114#10622778C2211yescharacteristic, complemented
115#10622778C2211yescharacteristic, complemented
116#10622778C2211yescharacteristic, complemented
117#10622778C2211yescharacteristic, complemented
118#10622778C2211yescharacteristic, complemented
119#10622778C2211yescharacteristic, complemented
120#10622769C2211yescharacteristic
121#10622769C2211yescharacteristic, complemented
122#10622767C2211yescharacteristic, complemented
123#10622766C2211yescharacteristic, complemented
124#10622766C2211yescharacteristic, complemented
125#10622764C2211yescharacteristic, complemented
126#10622703C2211yescharacteristic, complemented
127#10622699C2211yescharacteristic, complemented
128#10622696C2211yescharacteristic, complemented
129#10622694C2211yescharacteristic, complemented
130#10622687C2211yescharacteristic, complemented
131#10622686C2211yescharacteristic, complemented
132#10622681C2211yescharacteristic, complemented
133#10622680C2211yescharacteristic, complemented
134#10622672C2211yescharacteristic, complemented
135#10622670C2211yescharacteristic, complemented
136#10622668C2211yescharacteristic, complemented
137#10622667C2211yescharacteristic, complemented
138#10622650C2211yescharacteristic, complemented
139#10622650C2211yescharacteristic, complemented
140#10622649C2211yescharacteristic
141#10622649C2211yescharacteristic, complemented
142#10622629C2211yescharacteristic, complemented
143#10622629C2211yescharacteristic, complemented
144#10622628C2211yescharacteristic, complemented
145#10622628C2211yescharacteristic, complemented
146#10622613C2211yescharacteristic, complemented
147#10622461C2211yescharacteristic, complemented
148#10622458C2211yescharacteristic, complemented
149#10622457C2211yescharacteristic, complemented
150#10622456C2211yescharacteristic, complemented
151#10622453C2211yescharacteristic, complemented
152#10622453C2211yescharacteristic, complemented
153#10622450C2211yescharacteristic, complemented
154D11×C4⋊C8C2211yescharacteristic, complemented
155#10622432C2211yescharacteristic, complemented
156#10622432C2211yescharacteristic, complemented
157#10622432C2211yescharacteristic, complemented
158#10622424C2211yescharacteristic
159#10622424C2211yescharacteristic, complemented
160#10622423C2211yescharacteristic, complemented
161#10622423C2211yescharacteristic, complemented
162#10622421C2211yescharacteristic, complemented
163#10622419C2211yescharacteristic, complemented
164#10622417C2211yescharacteristic
165#10622417C2211yescharacteristic, complemented
166#10622416C2211yescharacteristic
167#10622416C2211yescharacteristic, complemented
168#10622415C2211yescharacteristic, complemented
169D11×#103C2211yescharacteristic, complemented
170#10622413C2211yescharacteristic, complemented
171#10622413C2211yescharacteristic, complemented
172#10622411C2211yescharacteristic, complemented
173#10622411C2211yescharacteristic, complemented
174#10622411C2211yescharacteristic, complemented
175#10622410C2211yescharacteristic, complemented
176#10622408C2211yescharacteristic, complemented
177#10622408C2211yescharacteristic, complemented
178#10622405C2211yescharacteristic, complemented
179#10622400C2211yescharacteristic, complemented
180#10622389C2211yescharacteristic, complemented
181#10622386C2211yescharacteristic
182#10622383C2211yescharacteristic
183D11×#102C2211yescharacteristic
184#10622380C2211yescharacteristic, complemented
185#10622377C2211yescharacteristic, complemented
186#10622373C2211yescharacteristic, complemented
187#10622347C2211yescharacteristic, complemented
188#10622346C2211yescharacteristic, complemented
189#10622345C2211yescharacteristic
190#10622344C2211yescharacteristic, complemented
191#10622340C2211yescharacteristic
192#10622340C2211yescharacteristic
193#10622332C2211yescharacteristic, complemented
194#10622331C2211yescharacteristic, complemented
195#10622327C2211yescharacteristic, complemented
196#10622325C2211yescharacteristic, complemented
197#10622321C2211yescharacteristic, complemented
198#10622318C2211yescharacteristic, complemented
199#10622309C2211yescharacteristic, complemented
200#10622307C2211yescharacteristic, complemented
201#10622302C2211yescharacteristic, complemented
202#10622298C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C22×Q8×C11C2311yescharacteristic
205#67042—42no—
206#67042—42no—
207#67040—42no—
208#67040—42no—
209C2×#4343—21no—
210C2×#4343C2311yescharacteristic
211C2×#4343C2311yescharacteristic
212C2×#4343C2311yescharacteristic
213C2×#4343C2311yescharacteristic
214C2×Q8×D11—21no—
215C2×Q8×D11C2311yescharacteristic
216C2×Q8×D11C2311yescharacteristic
217C2×#4341—21no—
218C2×#4341—21no—
219C2×#4341C2311yescharacteristic
220C2×D4×D11—21no—
221C2×D4×D11—21no—
222C2×D4×D11C2311yescharacteristic
223C2×D4×D11C2311yescharacteristic
224C2×D4×D11C2311yescharacteristic
225C2×#4339—21no—
226C2×#4339—21no—
227C2×#4339—21no—
228C2×#4339C2311yescharacteristic
229C2×#4339C2311yescharacteristic
230C22×D44—21no—
231C22×D44C2311yescharacteristic
232C22×C4×D11—21no—
233C2×C11×SD16C2311yescharacteristic
234C2×C11×SD16C2311yescharacteristic
235C2×C11×SD16C2311yescharacteristic
236C2×C11×SD16C2311yescharacteristic
237C2×C11×SD16C2311yescharacteristic
238C2×C11×SD16C2311yescharacteristic
239C2×C11×D8C2311yescharacteristic
240C2×C11×D8C2311yescharacteristic
241C11×C4⋊Q8C2311yescharacteristic
242C11×C4⋊Q8C2311yescharacteristic
243C11×#127C2311yescharacteristic
244C11×#125C2311yescharacteristic
245C11×#124C2311yescharacteristic
246C11×#124C2311yescharacteristic
247C11×#123—21no—
248C11×#123—21no—
249C11×#123—21no—
250C11×#123—21no—
251C11×C22⋊Q8—21no—
252C11×C22⋊Q8—21no—
253C11×#121—21no—
254C11×#121—21no—
255C11×#121C2311yescharacteristic
256C11×#121C2311yescharacteristic
257C4×D4×C11C2311yescharacteristic
258C4×D4×C11C2311yescharacteristic
259C11×#117C2311yescharacteristic
260#67000—21no—
261#67000—21no—
262#67000C2311yescharacteristic
263#67000C2311yescharacteristic
264#67000C2311yescharacteristic
265#67000C2311yescharacteristic
266#67000C2311yescharacteristic
267#66997C2311yescharacteristic
268C2×#4326C2311yescharacteristic
269C2×#4326C2311yescharacteristic
270C2×#4326C2311yescharacteristic
271C2×#4325C2311yescharacteristic
272C2×#4325C2311yescharacteristic
273C2×#4325C2311yescharacteristic
274#66993—21no—
275#66993C2311yescharacteristic
276#66993C2311yescharacteristic
277#66992—21no—
278#66992—21no—
279#66992—21no—
280#66992—21no—
281#66992—21no—
282#66992—21no—
283#66991—21no—
284#66991—21no—
285#66991C2311yescharacteristic
286#66991C2311yescharacteristic
287#66990—21no—
288#66990—21no—
289#66990—21no—
290#66989—21no—
291#66989C2311yescharacteristic
292#66989C2311yescharacteristic
293#66988—21no—
294D4×Dic11—21no—
295D4×Dic11—21no—
296D4×Dic11C2311yescharacteristic
297D4×Dic11C2311yescharacteristic
298C2×#4324C2311yescharacteristic
299C2×#4324C2311yescharacteristic
300C2×#4324C2311yescharacteristic
301C2×#4323C2311yescharacteristic
302C2×#4323C2311yescharacteristic
303C2×#4323C2311yescharacteristic
304C2×#4323C2311yescharacteristic
305C2×#4323C2311yescharacteristic
306C2×#4323C2311yescharacteristic
307C2×#4323C2311yescharacteristic
308#66983—21no—
309#66983C2311yescharacteristic
310#66982—21no—
311#66982—21no—
312C4×C22⋊D11—21no—
313C4×C22⋊D11—21no—
314C4×C22⋊D11—21no—
315C4×C22⋊D11—21no—
316C2×(C2×D11)⋊C4—21no—
317C2×(C2×D11)⋊C4—21no—
318#66977—21no—
319#66977C2311yescharacteristic
320C2×C4×Dic11—21no—
321C2×C4×Dic11C2311yescharacteristic
322#66969—42no—
323#66969—42no—
324#66968—42no—
325#66967—42no—
326#66967—42no—
327SD16×D11—42no—
328#66964—42no—
329D8×D11—42no—
330C2×Dic44C2311yescharacteristic
331C2×D88C2311yescharacteristic
332C2×D88C2311yescharacteristic
333C2×D88C2311yescharacteristic
334C2×#4314C2311yescharacteristic
335C2×#4314C2311yescharacteristic
336C2×#4314C2311yescharacteristic
337C2×#4314C2311yescharacteristic
338C2×#4313C2311yescharacteristic
339C2×#4313C2311yescharacteristic
340C2×C8×D11C2311yescharacteristic
341C2×C8×D11C2311yescharacteristic
342#66951—21no—
343#66951—21no—
344#66950—21no—
345#66950C2311yescharacteristic
346#66949—21no—
347#66949—21no—
348#66949—21no—
349#66949—21no—
350#66949—21no—
351#66949—21no—
352#66948—21no—
353#66948—21no—
354#66948—21no—
355#66948—21no—
356#66948—21no—
357#66948—21no—
358#66948C2311yescharacteristic
359#66947—21no—
360#66947—21no—
361#66947—21no—
362#66947—21no—
363#66947—21no—
364#66946—21no—
365#66946—21no—
366#66946—21no—
367#66946—21no—
368#66946—21no—
369#66946D411yescharacteristic
370#66946D411yescharacteristic
371#66946C2311yescharacteristic
372#66945—21no—
373#66945C2311yescharacteristic
374C4⋊C4×D11C2311yescharacteristic
375#66943C2311yescharacteristic
376#66942—21no—
377#66941—21no—
378#66941C2311yescharacteristic
379#66940D411yescharacteristic
380#66940D411yescharacteristic
381#66940C2311yescharacteristic
382#66938—21no—
383#66938—21no—
384#66938—21no—
385#66938—21no—
386#66938—21no—
387#66938—21no—
388#66938—21no—
389#66938—21no—
390#66937—21no—
391#66937—21no—
392#66937—21no—
393#66937—21no—
394#66937—21no—
395#66937—21no—
396#66936—21no—
397#66936—21no—
398#66935—21no—
399#66935—21no—
400#66935—21no—
401#66935—21no—
402#66935—21no—
403#66935—21no—
404#66935—21no—
405(C22⋊D11)⋊C4—21no—
406(C22⋊D11)⋊C4—21no—
407(C22⋊D11)⋊C4—21no—
408(C22⋊D11)⋊C4D411yescharacteristic
409(C22⋊D11)⋊C4D411yescharacteristic
410(C22⋊D11)⋊C4D411yescharacteristic
411(C22⋊D11)⋊C4D411yescharacteristic
412C22⋊C4×D11—21no—
413C22⋊C4×D11—21no—
414C22⋊C4×D11—21no—
415C22⋊C4×D11—21no—
416C22⋊C4×D11—21no—
417#66932—21no—
418#66932—21no—
419#66931—21no—
420#66930—21no—
421#66930—21no—
422#66928C2311yescharacteristic
423#66928C2311yescharacteristic
424#66928C2311yescharacteristic
425#66927C2311yescharacteristic
426#66927C2311yescharacteristic
427C4×D44C2311yescharacteristic
428#66925C2311yescharacteristic
429#66925C2311yescharacteristic
430C42×D11C2311yescharacteristic
431C42×D11C2311yescharacteristic
432#66922C2311yescharacteristic
433C4×Dic22C2311yescharacteristic
434C11×C4⋊C8C2311yescharacteristic
435C11×C4⋊C8C2311yescharacteristic
436C11×#103C2311yescharacteristic
437C11×#103C2311yescharacteristic
438C11×#103C2311yescharacteristic
439C11×#103C2311yescharacteristic
440C11×#103C2311yescharacteristic
441C11×#103C2311yescharacteristic
442C11×#102C2311yescharacteristic
443C11×#102C2311yescharacteristic
444C11×C22⋊C8C2311yescharacteristic
445C11×C22⋊C8C2311yescharacteristic
446C11×#97C2311yescharacteristic
447C4×C8×C11C2311yescharacteristic
448#66899C2311yescharacteristic
449#66899C2311yescharacteristic
450#66899C2311yescharacteristic
451#66899C2311yescharacteristic
452#66899C2311yescharacteristic
453#66899C2311yescharacteristic
454#66896C2311yescharacteristic
455#66896C2311yescharacteristic
456C22⋊(C11⋊C8)C2311yescharacteristic
457C22⋊(C11⋊C8)C2311yescharacteristic
458#66885C2311yescharacteristic
459#66885C2311yescharacteristic
460#66885C2311yescharacteristic
461#66885C2311yescharacteristic
462#66885C2311yescharacteristic
463#66885C2311yescharacteristic
464(C2×D11)⋊C8C2311yescharacteristic
465(C2×D11)⋊C8C2311yescharacteristic
466(C2×D11)⋊C8C2311yescharacteristic
467(C2×D11)⋊C8C2311yescharacteristic
468#66880C2311yescharacteristic
469#66880C2311yescharacteristic
470#66879C2311yescharacteristic
471#66879C2311yescharacteristic
472Dic11⋊C8C2311yescharacteristic
473Dic11⋊C8C2311yescharacteristic
474Dic11⋊C8C2311yescharacteristic
475Dic11⋊C8C2311yescharacteristic
476C8×Dic11C2311yescharacteristic
477C8×Dic11C2311yescharacteristic
478#66874C2311yescharacteristic
479#66874C2311yescharacteristic
480#66873C2311yescharacteristic
481#66873C2311yescharacteristic
482#66873C2311yescharacteristic
483#66873C2311yescharacteristic
484#66873C2311yescharacteristic
485#66873C2311yescharacteristic
486C4⋊(C11⋊C8)C2311yescharacteristic
487C4⋊(C11⋊C8)C2311yescharacteristic
488#66867C2311yescharacteristic
489C4×C11⋊C8C2311yescharacteristic
490#60834—111nomaximal, Sylow
491C23×D11—21no—
492C23×D11—21no—
493C23×D11—21no—
494C23×D11—21no—
495C11×#41—41no—
496C11×#41—41no—
497C2×Q8×C11—21no—
498C2×Q8×C11—41no—
499C2×Q8×C11—41no—
500C2×Q8×C11C2411yescharacteristic
501C2×Q8×C11C2411yescharacteristic
502C2×Q8×C11C2411yescharacteristic
503C2×D4×C11—21no—
504C2×D4×C11—21no—
505C2×D4×C11—21no—
506C2×D4×C11—21no—
507C2×D4×C11—21no—
508C2×D4×C11C2411yescharacteristic
509C2×D4×C11C2411yescharacteristic
510C2×D4×C11C2411yescharacteristic
511C22×C4×C11—21no—
512C22×C4×C11—21no—
513C22×C4×C11—21no—
514C22×C4×C11—21no—
515C22×C4×C11C2411yescharacteristic
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—21no—
525C2×C22⋊D11—21no—
526C2×C22⋊D11—21no—
527C2×C22⋊D11—21no—
528C2×C22⋊D11C2×D411yescharacteristic
529C2×C22⋊D11C2×D411yescharacteristic
530C22×Dic11—21no—
531C22×Dic11—21no—
532C22×Dic11—21no—
533C22×Dic11C2×D411yescharacteristic
534C22×Dic11C2×D411yescharacteristic
535#4343—22no—
536#4343—22no—
537#4343—22no—
538#4343—22no—
539#4343—41no—
540#4343—41no—
541#4343—41no—
542#4343—41no—
543#4343—44no—
544Q8×D11—22no—
545Q8×D11—22no—
546Q8×D11—41no—
547Q8×D11—41no—
548Q8×D11—44no—
549#4341—22no—
550#4341—22no—
551#4341—82no—
552#4341—82no—
553D4×D11—22no—
554D4×D11—22no—
555D4×D11—22no—
556D4×D11—22no—
557D4×D11—41no—
558D4×D11—41no—
559D4×D11—44no—
560D4×D11—44no—
561#4339—22no—
562#4339—22no—
563#4339—41no—
564#4339—41no—
565#4339—44no—
566#4339—44no—
567#4339—44no—
568C2×D44—21no—
569C2×D44—21no—
570C2×D44—21no—
571C2×D44—21no—
572C2×D44—21no—
573C2×D44—21no—
574C2×D44—21no—
575C2×D44—21no—
576C2×D44—21no—
577C2×D44—21no—
578C2×D44—41no—
579C2×D44—41no—
580C2×D44—44no—
581C2×D44C2×D411yescharacteristic
582C2×D44C2411yescharacteristic
583C2×D44C2411yescharacteristic
584C2×D44C2411yescharacteristic
585C2×D44C2411yescharacteristic
586C2×C4×D11—21no—
587C2×C4×D11—21no—
588C2×C4×D11—21no—
589C2×C4×D11—21no—
590C2×C4×D11—21no—
591C2×C4×D11—21no—
592C2×C4×D11—21no—
593C2×C4×D11—21no—
594C2×C4×D11—21no—
595C2×C4×D11—21no—
596C2×C4×D11—82no—
597C2×C4×D11C2×D411yescharacteristic
598C2×C4×D11C2×D411yescharacteristic
599C2×C4×D11C2×D411yescharacteristic
600C2×C4×D11C2×D411yescharacteristic
601C2×C4×D11C2411yescharacteristic
602C2×C4×D11C2411yescharacteristic
603C2×Dic22—21no—
604C2×Dic22—21no—
605C2×Dic22—21no—
606C2×Dic22—21no—
607C2×Dic22C2×D411yescharacteristic
608C2×Dic22C2411yescharacteristic
609C2×Dic22C2411yescharacteristic
610C11×SD16—41no—
611C11×SD16—41no—
612C11×SD16—41no—
613C11×SD16—41no—
614C11×SD16—41no—
615C11×SD16—41no—
616C11×D8—41no—
617C11×D8—41no—
618C2×C8×C11C2411yescharacteristic
619C2×C8×C11C2411yescharacteristic
620C2×C8×C11C2411yescharacteristic
621C2×C8×C11C2411yescharacteristic
622C11×C4⋊C4—21no—
623C11×C4⋊C4—21no—
624C11×C4⋊C4—21no—
625C11×C4⋊C4—21no—
626C11×C4⋊C4—21no—
627C11×C4⋊C4—21no—
628C11×C4⋊C4C2×D411yescharacteristic
629C11×C4⋊C4C2×D411yescharacteristic
630C11×C4⋊C4C2411yescharacteristic
631C11×C4⋊C4C2411yescharacteristic
632C11×C22⋊C4—21no—
633C11×C22⋊C4—21no—
634C11×C22⋊C4—21no—
635C11×C22⋊C4—21no—
636C11×C22⋊C4—21no—
637C11×C22⋊C4—21no—
638C11×C22⋊C4—21no—
639C11×C22⋊C4—21no—
640C11×C22⋊C4C2×D411yescharacteristic
641C11×C22⋊C4C2×D411yescharacteristic
642C42×C11C2411yescharacteristic
643C42×C11C2411yescharacteristic
644C22⋊Dic11—21no—
645C22⋊Dic11—21no—
646C22⋊Dic11—21no—
647C22⋊Dic11—21no—
648C22⋊Dic11—21no—
649C22⋊Dic11—21no—
650C22⋊Dic11—21no—
651C22⋊Dic11—21no—
652C22⋊Dic11—21no—
653#4326—41no—
654#4326—41no—
655#4326—41no—
656#4325—41no—
657#4325—41no—
658#4325—41no—
659#4324—41no—
660#4324—41no—
661#4324—41no—
662#4323—41no—
663#4323—41no—
664#4323—41no—
665#4323—41no—
666#4323—41no—
667#4323—41no—
668#4323—41no—
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)⋊C4—21no—
680(C2×D11)⋊C4—21no—
681(C2×D11)⋊C4—21no—
682(C2×D11)⋊C4—21no—
683(C2×D11)⋊C4—21no—
684(C2×D11)⋊C4—21no—
685(C2×D11)⋊C4—21no—
686(C2×D11)⋊C4—21no—
687(C2×D11)⋊C4—21no—
688(C2×D11)⋊C4—21no—
689(C2×D11)⋊C4—21no—
690(C2×D11)⋊C4—21no—
691(C2×D11)⋊C4C2×D411yescharacteristic
692(C2×D11)⋊C4C2×D411yescharacteristic
693(C2×D11)⋊C4C2×D411yescharacteristic
694(C2×D11)⋊C4C2×D411yescharacteristic
695C4⋊Dic11—21no—
696C4⋊Dic11—21no—
697C4⋊Dic11—21no—
698C4⋊Dic11C2411yescharacteristic
699C4⋊Dic11C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
709Dic11⋊C4C2×D411yescharacteristic
710Dic11⋊C4C2×D411yescharacteristic
711Dic11⋊C4C2×D411yescharacteristic
712C4×Dic11—21no—
713C4×Dic11—21no—
714C4×Dic11—21no—
715C4×Dic11C2×D411yescharacteristic
716C4×Dic11C2×D411yescharacteristic
717C4×Dic11C2×D411yescharacteristic
718C4×Dic11C2×D411yescharacteristic
719C4×Dic11C2×D411yescharacteristic
720C4×Dic11C2×D411yescharacteristic
721C4×Dic11C2411yescharacteristic
722C4×Dic11C2411yescharacteristic
723C2×C11⋊C8C2411yescharacteristic
724C2×C11⋊C8C2411yescharacteristic
725C2×C11⋊C8C2411yescharacteristic
726C2×C11⋊C8C2411yescharacteristic
727Dic44—41no—
728D88—41no—
729D88—41no—
730D88—41no—
731#4314—41no—
732#4314—41no—
733#4314—41no—
734#4314—41no—
735#4313—22no—
736#4313—22no—
737C8×D11—22no—
738C8×D11—22no—
739#3500—111no—
740#3460—111no—
741#3225—111no—
742#3225—111no—
743#3224—111no—
744#3224—111no—
745#3221—111no—
746#3221D1111yescharacteristic, complemented
747#3220—111no—
748#3220—111no—
749#3219—111no—
750#3219—111no—
751#3213—111no—
752#3213—111no—
753#3211—111no—
754#3211—111no—
755#3207—111no—
756#3207—111no—
757#3155—111no—
758#3154—111no—
759#3137—111no—
760#3136—111no—
761#3040—111no—
762#3036—111no—
763#3035—111no—
764C2×#463—111no—
765#3013—111no—
766#3012—111no—
767#3010—111no—
768#3008—111no—
769#2925—111no—
770C23×C11—21no—
771C23×C11—21no—
772C23×C11—21no—
773C23×C11C22×D411yescharacteristic
774C22×D11—21no—
775C22×D11—21no—
776C22×D11—21no—
777C22×D11—21no—
778C22×D11—42no—
779C22×D11—42no—
780C22×D11—42no—
781C22×D11—42no—
782C22×D11—81no—
783C22×D11—81no—
784C22×D11—81no—
785C22×D11—81no—
786C22×D11—81no—
787C22×D11—81no—
788C22×D11—81no—
789C22×D11—81no—
790C22×D11C22×D411yescharacteristic
791C22×D11C22×D411yescharacteristic
792Q8×C11—21no—
793Q8×C11—21no—
794Q8×C11—21no—
795Q8×C11—21no—
796Q8×C11—21no—
797Q8×C11—21no—
798Q8×C11—42no—
799D4×C11—21no—
800D4×C11—21no—
801D4×C11—21no—
802D4×C11—21no—
803D4×C11—21no—
804D4×C11—21no—
805D4×C11—42no—
806D4×C11—81no—
807D4×C11—81no—
808D4×C11—81no—
809D4×C11—81no—
810C2×C4×C11—21no—
811C2×C4×C11—21no—
812C2×C4×C11—21no—
813C2×C4×C11—21no—
814C2×C4×C11—21no—
815C2×C4×C11—21no—
816C2×C4×C11—21no—
817C2×C4×C11—42no—
818C2×C4×C11—42no—
819C2×C4×C11—81no—
820C2×C4×C11—81no—
821C2×C4×C11C22×D411yescharacteristic
822C2×C4×C11C22×D411yescharacteristic
823C2×C4×C11C22×D411yescharacteristic
824C2×C4×C11C22×D411yescharacteristic
825C2×C4×C11C22×D411yescharacteristic
826C2×C4×C11C2511yescharacteristic
827C22⋊D11—22no—
828C22⋊D11—22no—
829C22⋊D11—42no—
830C22⋊D11—42no—
831C22⋊D11—42no—
832C22⋊D11—42no—
833C22⋊D11—42no—
834C22⋊D11—81no—
835C22⋊D11—81no—
836C22⋊D11—81no—
837C22⋊D11—81no—
838C22⋊D11—81no—
839C22⋊D11—81no—
840C22⋊D11—81no—
841C2×Dic11—21no—
842C2×Dic11—21no—
843C2×Dic11—21no—
844C2×Dic11—21no—
845C2×Dic11—41no—
846C2×Dic11—41no—
847C2×Dic11—42no—
848C2×Dic11—42no—
849C2×Dic11—42no—
850C2×Dic11C22×D411yescharacteristic
851C2×Dic11C22×D411yescharacteristic
852C2×Dic11C22×D411yescharacteristic
853C2×Dic11C22×D411yescharacteristic
854C2×Dic11C22×D411yescharacteristic
855C2×Dic11C22×D411yescharacteristic
856D44—22no—
857D44—21no—
858D44—21no—
859D44—21no—
860D44—21no—
861D44—21no—
862D44—21no—
863D44—21no—
864D44—21no—
865D44—42no—
866D44—42no—
867D44—42no—
868D44—42no—
869D44—42no—
870D44—81no—
871D44—81no—
872D44—81no—
873D44—81no—
874D44—81no—
875C4×D11—21no—
876C4×D11—21no—
877C4×D11—41no—
878C4×D11—41no—
879C4×D11—41no—
880C4×D11—41no—
881C4×D11—42no—
882C4×D11—42no—
883C4×D11—42no—
884C4×D11—42no—
885C4×D11—42no—
886C4×D11—42no—
887C4×D11—42no—
888C4×D11—42no—
889C4×D11—81no—
890C4×D11—81no—
891C4×D11H(5,𝔽2)12yes—
892C4×D11H(5,𝔽2)12yes—
893Dic22—22no—
894Dic22—21no—
895Dic22—21no—
896Dic22—21no—
897Dic22—21no—
898Dic22—42no—
899Dic22—42no—
900Dic22—81no—
901Dic22—81no—
902C8×C11—21no—
903C8×C11—21no—
904C8×C11—21no—
905C8×C11—21no—
906C11⋊C8—21no—
907C11⋊C8—21no—
908C11⋊C8—21no—
909C11⋊C8—21no—
910C2×2−1+4—111no—
911C2×H(5,𝔽2)—111no—
912C2×#137—111no—
913C2×AGL(1,ℤ/8)—111no—
914C2×AGL(1,ℤ/8)—111no—
915C2×AGL(1,ℤ/8)—111no—
916C2×#135—111no—
917C2×#135—111no—
918C22×SD16—111no—
919C22×D8—111no—
920#548—221no—
921#548—221no—
922#546—221no—
923#546—221no—
924#546—221no—
925#546—221no—
926#546—221no—
927#546—221no—
928#544—111no—
929#542—111no—
930#542—111no—
931#542—221no—
932#540—111no—
933#540—221no—
934#540C2×D1111yescharacteristic, complemented
935#538—221no—
936#538—221no—
937#537—111no—
938#536—111no—
939#536—111no—
940#536C2×D1111yescharacteristic, complemented
941#535—111no—
942#535—111no—
943#535—111no—
944#535—111no—
945#535—111no—
946#532—111no—
947#532—111no—
948#532—111no—
949#532—111no—
950#532—111no—
951#532—221no—
952#529—111no—
953#529—111no—
954#529—221no—
955C2×#124—111no—
956C2×#124—111no—
957C2×#124—111no—
958#525—221no—
959#525—221no—
960C4×#41—111no—
961C4×#41—111no—
962C2×C4×D4—111no—
963#497—111no—
964#497—111no—
965#496—111no—
966#496—111no—
967#496—111no—
968#496—111no—
969#496—111no—
970#496C2×D1111yescharacteristic, complemented
971#495—111no—
972#495—111no—
973#495—111no—
974#495—111no—
975#493—111no—
976#493—111no—
977#492—111no—
978#492C2×D1111yescharacteristic, complemented
979#491—111no—
980#491C2×D1111yescharacteristic, complemented
981#490—111no—
982#490—111no—
983#489—111no—
984#489—111no—
985#489—111no—
986#489—111no—
987#488—111no—
988#488—111no—
989#488—111no—
990#488C2×D1111yescharacteristic, complemented
991#487—111no—
992#487—111no—
993#486—111no—
994#486—111no—
995#464—111no—
996#464—111no—
997#464—111no—
998#464—111no—
999#464—111no—
1000#464—111no—
1001#463—111no—
1002#463—111no—
1003#463—111no—
1004#463—111no—
1005#463—111no—
1006#463—111no—
1007#463—111no—
1008#463—111no—
1009#463—111no—
1010#463—111no—
1011#463—111no—
1012#463—111no—
1013#463—111no—
1014#463—111no—
1015#463—111no—
1016#463—111no—
1017#463C2×D1111yescharacteristic, complemented
1018#463C2×D1111yescharacteristic, complemented
1019#462—111no—
1020#461—111no—
1021#461C2×D1111yescharacteristic, complemented
1022#461C2×D1111yescharacteristic, complemented
1023#460—111no—
1024#459—111no—
1025#459—111no—
1026#459—111no—
1027#452—111no—
1028#452—111no—
1029#452—111no—
1030#452—111no—
1031#451—111no—
1032#451—111no—
1033#450—111no—
1034#450—111no—
1035#449—111no—
1036#449—111no—
1037#449—111no—
1038#449—111no—
1039#449—111no—
1040#449—111no—
1041#449—111no—
1042#449—111no—
1043#449—111no—
1044#449—111no—
1045#449C2×D1111yescharacteristic
1046#449C2×D1111yescharacteristic, complemented
1047#448—111no—
1048#448—111no—
1049#448—111no—
1050#448—111no—
1051#448C2×D1111yescharacteristic, complemented
1052#448C2×D1111yescharacteristic, complemented
1053#447—111no—
1054#447—111no—
1055#447—111no—
1056#447—111no—
1057#447—111no—
1058#447—111no—
1059#433—111no—
1060#433—111no—
1061#433—111no—
1062#433C2×D1111yescharacteristic, complemented
1063#432—111no—
1064#432—111no—
1065#431—111no—
1066#431—111no—
1067#423—111no—
1068C2×C4⋊C8—111no—
1069#419—111no—
1070#418—111no—
1071#417—111no—
1072#417—111no—
1073#416—111no—
1074#416—111no—
1075C2×#103—111no—
1076C2×#102—111no—
1077#408—111no—
1078#408—111no—
1079#405—111no—
1080#405—111no—
1081C22×C11—21no—
1082C22×C11—21no—
1083C22×C11—21no—
1084C22×C11—41no—
1085C22×C11—41no—
1086C22×C11—41no—
1087C22×C11—41no—
1088C22×C11—41no—
1089C22×C11—41no—
1090C22×C11—41no—
1091C22×C11—41no—
1092C22×C11—41no—
1093C22×C11C23×D411yescharacteristic
1094C2×D11—21no—
1095C2×D11—21no—
1096C2×D11—21no—
1097C2×D11—21no—
1098C2×D11—21no—
1099C2×D11—41no—
1100C2×D11—41no—
1101C2×D11—41no—
1102C2×D11—41no—
1103C2×D11—41no—
1104C2×D11—41no—
1105C2×D11—41no—
1106C2×D11—41no—
1107C2×D11—41no—
1108C2×D11—41no—
1109C2×D11—41no—
1110C2×D11—41no—
1111C2×D11—84no—
1112C2×D11—162no—
1113C2×D11—162no—
1114C2×D11—162no—
1115C2×D11#53512yes—
1116C4×C11—21no—
1117C4×C11—21no—
1118C4×C11—21no—
1119C4×C11—21no—
1120C4×C11—21no—
1121C4×C11—41no—
1122C4×C11—41no—
1123C4×C11—41no—
1124C4×C11—41no—
1125C4×C11—41no—
1126C4×C11C2×H(5,𝔽2)11yescharacteristic
1127C4×C11C2×H(5,𝔽2)11yescharacteristic
1128Dic11—21no—
1129Dic11—21no—
1130Dic11—21no—
1131Dic11—21no—
1132Dic11—21no—
1133Dic11—41no—
1134Dic11—41no—
1135Dic11—41no—
1136Dic11—41no—
1137Dic11#53512yes—
11382−1+4—442no—
11392−1+4—442no—
1140H(5,𝔽2)—442no—
1141H(5,𝔽2)—442no—
1142C2×#41—111no—
1143C2×#41—111no—
1144C2×#41—111no—
1145C2×#41—111no—
1146C2×#41—111no—
1147C2×#41—111no—
1148C2×#41—111no—
1149C2×#41—221no—
1150C2×#41—221no—
1151C2×#41—221no—
1152C2×#41—221no—
1153C2×#41—221no—
1154C2×#41—221no—
1155C2×#41C22×D1111yescharacteristic
1156C22×Q8—111no—
1157C22×Q8—111no—
1158C22×Q8—221no—
1159C22×Q8C22×D1111yescharacteristic
1160C22×D4—111no—
1161C22×D4—111no—
1162C22×D4—111no—
1163C22×D4—111no—
1164C22×D4—221no—
1165C22×D4—221no—
1166C22×D4—221no—
1167C23×C4—221no—
1168#137—442no—
1169AGL(1,ℤ/8)—442no—
1170AGL(1,ℤ/8)—442no—
1171AGL(1,ℤ/8)—442no—
1172#135—442no—
1173#135—442no—
1174C2×Q16—111no—
1175C2×Q16—111no—
1176C2×Q16—111no—
1177C2×Q16—111no—
1178C2×SD16—111no—
1179C2×SD16—111no—
1180C2×SD16—111no—
1181C2×SD16—111no—
1182C2×SD16—111no—
1183C2×SD16—111no—
1184C2×SD16—111no—
1185C2×SD16—111no—
1186C2×SD16—111no—
1187C2×SD16—111no—
1188C2×SD16—442no—
1189C2×SD16C22×D1111yescharacteristic
1190C2×SD16C22×D1111yescharacteristic
1191C2×SD16C22×D1111yescharacteristic
1192C2×SD16C22×D1111yescharacteristic
1193C2×SD16C22×D1111yescharacteristic
1194C2×SD16C22×D1111yescharacteristic
1195C2×D8—111no—
1196C2×D8—111no—
1197C2×D8—111no—
1198C2×D8—111no—
1199C2×D8—111no—
1200C2×D8—111no—
1201C2×D8—111no—
1202C2×D8—111no—
1203C2×D8—111no—
1204C2×D8—111no—
1205C2×D8—442no—
1206C2×D8C22×D1111yescharacteristic
1207C2×D8C22×D1111yescharacteristic
1208C2×M16—111no—
1209C2×M16—111no—
1210C22×C8—111no—
1211C22×C8—111no—
1212C4⋊Q8—111no—
1213C4⋊Q8—111no—
1214C4⋊Q8—111no—
1215C4⋊Q8—221no—
1216C4⋊Q8C22×D1111yescharacteristic
1217C4⋊Q8C22×D1111yescharacteristic
1218#127—111no—
1219#127—111no—
1220#127—111no—
1221#127—111no—
1222#127—221no—
1223#127C22×D1111yescharacteristic
1224#126—221no—
1225#126—221no—
1226#126—221no—
1227#126—221no—
1228#125—111no—
1229#125—221no—
1230#125C22×D1111yescharacteristic
1231#124—111no—
1232#124—111no—
1233#124—111no—
1234#124—111no—
1235#124—111no—
1236#124—111no—
1237#124—111no—
1238#124—111no—
1239#124—111no—
1240#124—111no—
1241#124—221no—
1242#124—221no—
1243#124—221no—
1244#124—221no—
1245#124—221no—
1246#124—221no—
1247#124—221no—
1248#124—221no—
1249#124—221no—
1250#124—221no—
1251#124—221no—
1252#124C22×D1111yescharacteristic
1253#124C22×D1111yescharacteristic
1254#123—21no—
1255#123—21no—
1256#123—21no—
1257#123—21no—
1258#123—221no—
1259#123—221no—
1260#123—221no—
1261#123—221no—
1262#123—221no—
1263#123—221no—
1264#123—221no—
1265#123—221no—
1266#123—221no—
1267#123—221no—
1268C22⋊Q8—21no—
1269C22⋊Q8—21no—
1270C22⋊Q8—111no—
1271C22⋊Q8—111no—
1272C22⋊Q8—221no—
1273C22⋊Q8—221no—
1274C22⋊Q8—221no—
1275C22⋊Q8—221no—
1276C22⋊Q8—221no—
1277C22⋊Q8—221no—
1278C22⋊Q8—221no—
1279C22⋊Q8—221no—
1280C22⋊Q8—221no—
1281#121—21no—
1282#121—21no—
1283#121—111no—
1284#121—111no—
1285#121—111no—
1286#121—111no—
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#121—221no—
1299#121—221no—
1300#121—221no—
1301#121—221no—
1302#121—221no—
1303#121—221no—
1304#121—221no—
1305#121—221no—
1306#121—221no—
1307#121—221no—
1308#121C22×D1111yescharacteristic
1309#121C22×D1111yescharacteristic
1310#120—221no—
1311#120—221no—
1312#120—221no—
1313#120—221no—
1314#120—221no—
1315#120—221no—
1316#120—221no—
1317#120—221no—
1318#120—221no—
1319#120—221no—
1320C4×Q8—111no—
1321C4×Q8—111no—
1322C4×Q8—111no—
1323C4×Q8—111no—
1324C4×D4—111no—
1325C4×D4—111no—
1326C4×D4—111no—
1327C4×D4—111no—
1328C4×D4—111no—
1329C4×D4—111no—
1330C4×D4—111no—
1331C4×D4—111no—
1332C4×D4—111no—
1333C4×D4—111no—
1334C4×D4—221no—
1335C4×D4—221no—
1336C4×D4—221no—
1337C4×D4—221no—
1338C4×D4—221no—
1339C4×D4—221no—
1340C4×D4—221no—
1341C4×D4—221no—
1342C4×D4—221no—
1343C4×D4—221no—
1344C4×D4—221no—
1345C4×D4—221no—
1346C4×D4—221no—
1347C4×D4—221no—
1348C4×D4C22×D1111yescharacteristic
1349C4×D4C22×D1111yescharacteristic
1350#117—111no—
1351#117—111no—
1352#117—111no—
1353#117—221no—
1354#117—221no—
1355#117—221no—
1356#117C22×D1111yescharacteristic
1357C2×C4⋊C4—111no—
1358C2×C22⋊C4—221no—
1359C2×C22⋊C4—221no—
1360C2×C22⋊C4—221no—
1361C2×C22⋊C4—221no—
1362C2×C22⋊C4—221no—
1363C2×C22⋊C4—221no—
1364C2×C22⋊C4—221no—
1365C2×C42—111no—
1366C2×C42—111no—
1367C2×C42—111no—
1368C2×C42—221no—
1369C4⋊C8—111no—
1370C4⋊C8—111no—
1371C4⋊C8—111no—
1372C4⋊C8—111no—
1373C4⋊C8—111no—
1374C4⋊C8—111no—
1375C4⋊C8C22×D1111yescharacteristic
1376C4⋊C8C22×D1111yescharacteristic
1377#103—111no—
1378#103—111no—
1379#103—111no—
1380#103—111no—
1381#103—111no—
1382#103—111no—
1383#103—111no—
1384#103—111no—
1385#103—111no—
1386#103—111no—
1387#103C22×D1111yescharacteristic
1388#103C22×D1111yescharacteristic
1389#103C22×D1111yescharacteristic
1390#103C22×D1111yescharacteristic
1391#103C22×D1111yescharacteristic
1392#103C22×D1111yescharacteristic
1393#102—111no—
1394#102—111no—
1395#102—111no—
1396#102—111no—
1397#102—111no—
1398#102—111no—
1399#102—111no—
1400#102—111no—
1401#102—111no—
1402#102—111no—
1403#102—111no—
1404#102—111no—
1405#102—111no—
1406#102—111no—
1407#102C22×D1111yescharacteristic
1408#102C22×D1111yescharacteristic
1409C22⋊C8—111no—
1410C22⋊C8—111no—
1411C22⋊C8—111no—
1412C22⋊C8—111no—
1413C22⋊C8—111no—
1414C22⋊C8—111no—
1415C22⋊C8C22×D1111yescharacteristic
1416C22⋊C8C22×D1111yescharacteristic
1417#97—111no—
1418#97—111no—
1419#97—111no—
1420#97C22×D1111yescharacteristic
1421C4×C8—111no—
1422C4×C8—111no—
1423C4×C8—111no—
1424C4×C8C22×D1111yescharacteristic
1425C2×C11—41no—
1426C2×C11—81no—
1427C2×C11—81no—
1428C2×C11—81no—
1429C2×C11C2×#53511yescharacteristic
1430C2×C11#358411yescharacteristic
1431C2×C11#358511yescharacteristic
1432D11—22no—
1433D11—41no—
1434D11—81no—
1435D11—81no—
1436D11—81no—
1437D11—81no—
1438C24—221no—
1439C24—221no—
1440C24—221no—
1441C24—221no—
1442#41—41no—
1443#41—41no—
1444#41—222no—
1445#41—222no—
1446#41—222no—
1447#41—222no—
1448#41—222no—
1449#41—222no—
1450#41—222no—
1451#41—222no—
1452#41—441no—
1453#41—441no—
1454#41—444no—
1455#41—444no—
1456#41—444no—
1457#41—441no—
1458#41—441no—
1459#41—441no—
1460#41—441no—
1461#41—444no—
1462#41—882no—
1463#41—882no—
1464C2×Q8—21no—
1465C2×Q8—41no—
1466C2×Q8—41no—
1467C2×Q8—111no—
1468C2×Q8—111no—
1469C2×Q8—111no—
1470C2×Q8—221no—
1471C2×Q8—221no—
1472C2×Q8—221no—
1473C2×Q8—222no—
1474C2×Q8—222no—
1475C2×Q8—221no—
1476C2×Q8—441no—
1477C2×Q8—441no—
1478C2×Q8—444no—
1479C2×Q8C23×D1111yescharacteristic
1480C2×Q8C23×D1111yescharacteristic
1481C2×Q8C23×D1111yescharacteristic
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—111no—
1488C2×D4—111no—
1489C2×D4—111no—
1490C2×D4—111no—
1491C2×D4—111no—
1492C2×D4—111no—
1493C2×D4—111no—
1494C2×D4—221no—
1495C2×D4—221no—
1496C2×D4—221no—
1497C2×D4—221no—
1498C2×D4—221no—
1499C2×D4—222no—
1500C2×D4—222no—
1501C2×D4—222no—
1502C2×D4—222no—
1503C2×D4—221no—
1504C2×D4—221no—
1505C2×D4—221no—
1506C2×D4—221no—
1507C2×D4—221no—
1508C2×D4—221no—
1509C2×D4—221no—
1510C2×D4—221no—
1511C2×D4—221no—
1512C2×D4—221no—
1513C2×D4—221no—
1514C2×D4—221no—
1515C2×D4—221no—
1516C2×D4—221no—
1517C2×D4—221no—
1518C2×D4—221no—
1519C2×D4—221no—
1520C2×D4—441no—
1521C2×D4—441no—
1522C2×D4—444no—
1523C2×D4—441no—
1524C2×D4—441no—
1525C2×D4—444no—
1526C2×D4—444no—
1527C2×D4C23×D1111yescharacteristic
1528C2×D4C23×D1111yescharacteristic
1529C2×D4C23×D1111yescharacteristic
1530C22×C4—21no—
1531C22×C4—21no—
1532C22×C4—21no—
1533C22×C4—21no—
1534C22×C4—111no—
1535C22×C4—111no—
1536C22×C4—111no—
1537C22×C4—111no—
1538C22×C4—111no—
1539C22×C4—111no—
1540C22×C4—111no—
1541C22×C4—111no—
1542C22×C4—221no—
1543C22×C4—221no—
1544C22×C4—221no—
1545C22×C4—221no—
1546C22×C4—221no—
1547C22×C4—221no—
1548C22×C4—221no—
1549C22×C4—221no—
1550C22×C4—221no—
1551C22×C4—221no—
1552C22×C4—221no—
1553C22×C4—221no—
1554C22×C4—221no—
1555C22×C4—882no—
1556C22×C4C23×D1111yescharacteristic
1557Q16—441no—
1558Q16—441no—
1559Q16—441no—
1560Q16—441no—
1561SD16—41no—
1562SD16—41no—
1563SD16—41no—
1564SD16—41no—
1565SD16—41no—
1566SD16—41no—
1567SD16—441no—
1568SD16—441no—
1569SD16—441no—
1570SD16—441no—
1571SD16—441no—
1572SD16—441no—
1573SD16—441no—
1574SD16—441no—
1575SD16—441no—
1576SD16—441no—
1577D8—41no—
1578D8—41no—
1579D8—441no—
1580D8—441no—
1581D8—441no—
1582D8—441no—
1583D8—441no—
1584D8—441no—
1585D8—441no—
1586D8—441no—
1587D8—441no—
1588D8—441no—
1589M16—222no—
1590M16—222no—
1591C2×C8—111no—
1592C2×C8—111no—
1593C2×C8—111no—
1594C2×C8—111no—
1595C2×C8—222no—
1596C2×C8—222no—
1597C2×C8C23×D1111yescharacteristic
1598C2×C8C23×D1111yescharacteristic
1599C2×C8C23×D1111yescharacteristic
1600C2×C8C23×D1111yescharacteristic
1601C4⋊C4—21no—
1602C4⋊C4—21no—
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—111no—
1608C4⋊C4—111no—
1609C4⋊C4—111no—
1610C4⋊C4—111no—
1611C4⋊C4—111no—
1612C4⋊C4—111no—
1613C4⋊C4—221no—
1614C4⋊C4—221no—
1615C4⋊C4—221no—
1616C4⋊C4—221no—
1617C4⋊C4—221no—
1618C4⋊C4—221no—
1619C4⋊C4—221no—
1620C4⋊C4—221no—
1621C4⋊C4—221no—
1622C4⋊C4—221no—
1623C4⋊C4—221no—
1624C4⋊C4D4×D1111yescharacteristic
1625C4⋊C4D4×D1111yescharacteristic
1626C4⋊C4C23×D1111yescharacteristic
1627C4⋊C4C23×D1111yescharacteristic
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—21no—
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—111no—
1637C22⋊C4—111no—
1638C22⋊C4—111no—
1639C22⋊C4—111no—
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⋊C4—221no—
1654C22⋊C4—221no—
1655C22⋊C4—221no—
1656C22⋊C4—221no—
1657C22⋊C4—221no—
1658C22⋊C4—221no—
1659C22⋊C4—221no—
1660C22⋊C4—221no—
1661C22⋊C4—221no—
1662C22⋊C4—221no—
1663C22⋊C4—221no—
1664C22⋊C4—221no—
1665C22⋊C4—221no—
1666C22⋊C4—221no—
1667C22⋊C4—221no—
1668C22⋊C4—221no—
1669C22⋊C4—221no—
1670C22⋊C4—221no—
1671C22⋊C4D4×D1111yescharacteristic
1672C22⋊C4D4×D1111yescharacteristic
1673C42—111no—
1674C42—111no—
1675C42—111no—
1676C42—111no—
1677C42—111no—
1678C42—111no—
1679C42—111no—
1680C42—111no—
1681C42—221no—
1682C42—221no—
1683C42—221no—
1684C42C23×D1111yescharacteristic
1685C42C23×D1111yescharacteristic
1686C11#6083411yescharacteristic, complemented, Sylow
1687C23—21no—
1688C23—21no—
1689C23—21no—
1690C23—111no—
1691C23—111no—
1692C23—221no—
1693C23—221no—
1694C23—221no—
1695C23—221no—
1696C23—442no—
1697C23—442no—
1698C23—442no—
1699C23—442no—
1700C23—881no—
1701C23—881no—
1702C23—881no—
1703C23—881no—
1704C23—881no—
1705C23—881no—
1706C23—881no—
1707C23—881no—
1708C23C2×D4×D1111yescharacteristic
1709Q8—21no—
1710Q8—21no—
1711Q8—21no—
1712Q8—21no—
1713Q8—21no—
1714Q8—21no—
1715Q8—42no—
1716Q8—222no—
1717Q8—221no—
1718Q8—221no—
1719Q8—221no—
1720Q8—221no—
1721Q8—442no—
1722Q8—442no—
1723Q8—881no—
1724Q8—881no—
1725D4—21no—
1726D4—21no—
1727D4—21no—
1728D4—21no—
1729D4—21no—
1730D4—21no—
1731D4—42no—
1732D4—81no—
1733D4—81no—
1734D4—81no—
1735D4—81no—
1736D4—222no—
1737D4—222no—
1738D4—222no—
1739D4—221no—
1740D4—221no—
1741D4—221no—
1742D4—221no—
1743D4—221no—
1744D4—221no—
1745D4—221no—
1746D4—221no—
1747D4—442no—
1748D4—442no—
1749D4—442no—
1750D4—442no—
1751D4—442no—
1752D4—442no—
1753D4—442no—
1754D4—442no—
1755D4—442no—
1756D4—442no—
1757D4—881no—
1758D4—881no—
1759D4—881no—
1760D4—881no—
1761D4—881no—
1762D4—881no—
1763D4—881no—
1764D4—881no—
1765D4—881no—
1766D4—881no—
1767D4—881no—
1768D4—881no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—42no—
1777C2×C4—42no—
1778C2×C4—81no—
1779C2×C4—81no—
1780C2×C4—111no—
1781C2×C4—112no—
1782C2×C4—112no—
1783C2×C4—111no—
1784C2×C4—111no—
1785C2×C4—111no—
1786C2×C4—111no—
1787C2×C4—111no—
1788C2×C4—221no—
1789C2×C4—221no—
1790C2×C4—221no—
1791C2×C4—221no—
1792C2×C4—221no—
1793C2×C4—221no—
1794C2×C4—441no—
1795C2×C4—441no—
1796C2×C4—441no—
1797C2×C4—441no—
1798C2×C4—442no—
1799C2×C4—442no—
1800C2×C4—442no—
1801C2×C4—442no—
1802C2×C4—442no—
1803C2×C4—442no—
1804C2×C4—442no—
1805C2×C4—442no—
1806C2×C4—442no—
1807C2×C4—441no—
1808C2×C4—441no—
1809C2×C4—442no—
1810C2×C4—442no—
1811C2×C4—881no—
1812C2×C4—881no—
1813C2×C4C2×D4×D1111yescharacteristic
1814C2×C4C2×D4×D1111yescharacteristic
1815C2×C4C2×D4×D1111yescharacteristic
1816C2×C4C2×D4×D1111yescharacteristic
1817C2×C4C2×D4×D1111yescharacteristic
1818C2×C4C24×D1111yescharacteristic
1819C8—21no—
1820C8—21no—
1821C8—21no—
1822C8—21no—
1823C8—221no—
1824C8—221no—
1825C8—221no—
1826C8—221no—
1827C22—21no—
1828C22—21no—
1829C22—21no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—112no—
1840C22—221no—
1841C22—221no—
1842C22—221no—
1843C22—221no—
1844C22—221no—
1845C22—441no—
1846C22—441no—
1847C22—441no—
1848C22—441no—
1849C22—441no—
1850C22—441no—
1851C22—441no—
1852C22—441no—
1853C22—441no—
1854C22—441no—
1855C22—441no—
1856C22—441no—
1857C22—884no—
1858C22—1762no—
1859C22—1762no—
1860C22—1762no—
1861C22C22×D4×D1111yescharacteristic
1862C4—21no—
1863C4—21no—
1864C4—21no—
1865C4—21no—
1866C4—21no—
1867C4—41no—
1868C4—41no—
1869C4—41no—
1870C4—41no—
1871C4—41no—
1872C4—112no—
1873C4—221no—
1874C4—221no—
1875C4—221no—
1876C4—221no—
1877C4—221no—
1878C4—441no—
1879C4—441no—
1880C4—441no—
1881C4—441no—
1882C4D11×H(5,𝔽2)11yescharacteristic
1883C4D11×H(5,𝔽2)11yescharacteristic
1884C2—41no—
1885C2—81no—
1886C2—81no—
1887C2—81no—
1888C2—222no—
1889C2—441no—
1890C2—881no—
1891C2—881no—
1892C2—881no—
1893C2—881no—
1894C2D11×#53511yescharacteristic
1895C2#1308338811yescharacteristic
1896C2#1308339411yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3221C2
socleC22×C11C23×D4
hypercenter#3221D11
hypocenterC11#60834
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ #117 ◁ #3221

Complements

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

NH ≅ G/Ntype
1. #13082405C2semidirect
2. #13082031C2semidirect
3. #13079725C2semidirect
4. #13079724C2semidirect
5. #13079712C2semidirect
6. #13079709C2semidirect
7. #13079676C2semidirect
8. #13079663C2semidirect
9. #13079660C2semidirect
10. #13079656C2semidirect
11. #13079651C2semidirect
12. #13079602C2semidirect
13. #13079598C2semidirect
14. #13079582C2semidirect
15. #13079580C2semidirect
16. #13079547C2semidirect
17. #13079546C2semidirect
18. #13079100C2semidirect
19. #13079085C2semidirect
20. #13078982C2semidirect
21. #13078969C2semidirect
22. #13078105C2semidirect
23. #13078081C2semidirect
24. #13078072C2semidirect
25. D11×#463C2semidirect
26. #13077926C2semidirect
27. #13077918C2semidirect
28. #13077897C2semidirect
29. #13077881C2semidirect
30. #13077279C2semidirect
31. C11×#3221C2semidirect
34. C11×#540C22semidirect
35. C11×#536C22semidirect
36. #10623363C22semidirect
37. C2×#67000C22semidirect
39. C2×#66969C22semidirect
40. C2×#66968C22semidirect
42. C2×#66967C22semidirect
43. C2×SD16×D11C22semidirect
47. #10623256C22semidirect
49. #10623255C22semidirect
50. #10623247C22semidirect
51. #10623246C22semidirect
52. #10623222C22semidirect
53. #10623220C22semidirect
55. #10623205C22semidirect
57. D11×#124C22semidirect
75. #10623131C22semidirect
77. #10623127C22semidirect
78. #10623093C22semidirect
79. #10623092C22semidirect
80. C4×D4×D11C22semidirect
81. C4×#4341C22semidirect
82. #10623065C22semidirect
83. #10623056C22semidirect
85. C11×#496C22semidirect
86. C11×#492C22semidirect
87. C11×#491C22semidirect
88. C11×#488C22semidirect
89. C11×#463C22semidirect
90. C11×#463C22semidirect
91. C11×#461C22semidirect
92. C11×#461C22semidirect
94. C11×#449C22semidirect
95. C11×#448C22semidirect
96. C11×#448C22semidirect
97. C11×#433C22semidirect
98. #10622852C22semidirect
100. #10622841C22semidirect
101. #10622840C22semidirect
102. #10622789C22semidirect
103. #10622789C22semidirect
104. #10622788C22semidirect
106. #10622785C22semidirect
107. #10622785C22semidirect
108. #10622785C22semidirect
109. #10622783C22semidirect
110. #10622783C22semidirect
111. #10622781C22semidirect
112. #10622781C22semidirect
113. #10622780C22semidirect
114. #10622778C22semidirect
115. #10622778C22semidirect
116. #10622778C22semidirect
117. #10622778C22semidirect
118. #10622778C22semidirect
119. #10622778C22semidirect
121. #10622769C22semidirect
122. #10622767C22semidirect
123. #10622766C22semidirect
124. #10622766C22semidirect
125. #10622764C22semidirect
126. #10622703C22semidirect
127. #10622699C22semidirect
128. #10622696C22semidirect
129. #10622694C22semidirect
130. #10622687C22semidirect
131. #10622686C22semidirect
132. #10622681C22semidirect
133. #10622680C22semidirect
134. #10622672C22semidirect
135. #10622670C22semidirect
136. #10622668C22semidirect
137. #10622667C22semidirect
138. #10622650C22semidirect
139. #10622650C22semidirect
141. #10622649C22semidirect
142. #10622629C22semidirect
143. #10622629C22semidirect
144. #10622628C22semidirect
145. #10622628C22semidirect
146. #10622613C22semidirect
147. #10622461C22semidirect
148. #10622458C22semidirect
149. #10622457C22semidirect
150. #10622456C22semidirect
151. #10622453C22semidirect
152. #10622453C22semidirect
153. #10622450C22semidirect
154. D11×C4⋊C8C22semidirect
155. #10622432C22semidirect
156. #10622432C22semidirect
157. #10622432C22semidirect
159. #10622424C22semidirect
160. #10622423C22semidirect
161. #10622423C22semidirect
162. #10622421C22semidirect
163. #10622419C22semidirect
165. #10622417C22semidirect
167. #10622416C22semidirect
168. #10622415C22semidirect
169. D11×#103C22semidirect
170. #10622413C22semidirect
171. #10622413C22semidirect
172. #10622411C22semidirect
173. #10622411C22semidirect
174. #10622411C22semidirect
175. #10622410C22semidirect
176. #10622408C22semidirect
177. #10622408C22semidirect
178. #10622405C22semidirect
179. #10622400C22semidirect
180. #10622389C22semidirect
184. #10622380C22semidirect
185. #10622377C22semidirect
186. #10622373C22semidirect
187. #10622347C22semidirect
188. #10622346C22semidirect
190. #10622344C22semidirect
193. #10622332C22semidirect
194. #10622331C22semidirect
195. #10622327C22semidirect
196. #10622325C22semidirect
197. #10622321C22semidirect
198. #10622318C22semidirect
199. #10622309C22semidirect
200. #10622307C22semidirect
201. #10622302C22semidirect
202. #10622298C22semidirect
746. #3221D11semidirect
934. #540C2×D11semidirect
940. #536C2×D11semidirect
970. #496C2×D11semidirect
978. #492C2×D11semidirect
980. #491C2×D11semidirect
990. #488C2×D11semidirect
1017. #463C2×D11semidirect
1018. #463C2×D11semidirect
1021. #461C2×D11semidirect
1022. #461C2×D11semidirect
1046. #449C2×D11semidirect
1051. #448C2×D11semidirect
1052. #448C2×D11semidirect
1062. #433C2×D11semidirect
1686. C11#60834semidirect

Maximal subgroups

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

subgroupindex
#130824052
#130820312
#130797252
#130797242
#130797122
#130797092
#130796762
#130796632
#130796602
#130796562
#130796512
#130796022
#130795982
#130795822
#130795802
#130795472
#130795462
#130791002
#130790852
#130789822
#130789692
#130781052
#130780812
#130780722
D11×#4632
#130779262
#130779182
#130778972
#130778812
#130772792
C11×#32212
#6083411