Finite Group Databasebeta

← #15647416

Subgroups — #15647416

Order 2816.

1892 conjugacy classes of subgroups.

The subgroup lattice has 1804 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13083125C211yesmaximal, characteristic, complemented
2#13082700C211yesmaximal, characteristic, complemented
3#13081705C211yesmaximal, characteristic, complemented
4#13081703C211yesmaximal, characteristic, complemented
5#13081433C211yesmaximal, characteristic, complemented
6#13081427C211yesmaximal, characteristic, complemented
7#13080691C211yesmaximal, characteristic, complemented
8#13080610C211yesmaximal, characteristic, complemented
9#13080608C211yesmaximal, characteristic, complemented
10#13080427C211yesmaximal, characteristic, complemented
11#13080425C211yesmaximal, characteristic, complemented
12#13080360C211yesmaximal, characteristic, complemented
13#13080355C211yesmaximal, characteristic, complemented
14#13080161C211yesmaximal, characteristic, complemented
15#13080152C211yesmaximal, characteristic, complemented
16#13080118C211yesmaximal, characteristic, complemented
17#13080109C211yesmaximal, characteristic, complemented
18#13080078C211yesmaximal, characteristic, complemented
19#13080073C211yesmaximal, characteristic, complemented
20#13079925C211yesmaximal, characteristic, complemented
21#13079716C211yesmaximal, characteristic, complemented
22#13079714C211yesmaximal, characteristic, complemented
23#13079604C211yesmaximal, characteristic, complemented
24#13078881C211yesmaximal, characteristic, complemented
25#13078873C211yesmaximal, characteristic, complemented
26#13078736C211yesmaximal, characteristic, complemented
27#13078160C211yesmaximal, characteristic, complemented
28#13078154C211yesmaximal, characteristic, complemented
29D11×#464C211yesmaximal, characteristic, complemented
30#13077751C211yesmaximal, characteristic, complemented
31C11×#3314C211yesmaximal, characteristic, complemented
32C11×#554C2211yescharacteristic, complemented
33C11×#546C2211yescharacteristic
34#10623362C2211yescharacteristic
35#10623361C2211yescharacteristic
36C2×#67003C2211yescharacteristic, complemented
37#10623336C2211yescharacteristic
38D4×C22⋊D11C2211yescharacteristic
39C2×#66985C2211yescharacteristic, complemented
40C2×Q16×D11C2211yescharacteristic, complemented
41C2×SD16×D11C2211yescharacteristic
42C2×#66961C2211yescharacteristic, complemented
43C2×#66957C2211yescharacteristic, complemented
44#10623256C2211yescharacteristic, complemented
45#10623253C2211yescharacteristic, complemented
46#10623222—21no—
47#10623221—21no—
48#10623212C2211yescharacteristic
49D11×#124C2211yescharacteristic
50#10623198—21no—
51#10623188—21no—
52#10623174C2211yescharacteristic
53#10623174C2211yescharacteristic, complemented
54#10623174C2211yescharacteristic, complemented
55#10623171—21no—
56#10623171—21no—
57#10623164C2211yescharacteristic
58#10623164C2211yescharacteristic, complemented
59#10623164C2211yescharacteristic, complemented
60#10623162—21no—
61#10623162—21no—
62#10623144—21no—
63#10623143—21no—
64#10623140C2211yescharacteristic
65#10623134C2211yescharacteristic
66#10623125—21no—
67#10623120—21no—
68#10623116C2211yescharacteristic, complemented
69C4×Q8×D11C2211yescharacteristic, complemented
70#10623090—21no—
71#10623090C2211yescharacteristic
72#10623088C2211yescharacteristic
73#10623084C2211yescharacteristic, complemented
74#10623081C2211yescharacteristic
75#10623079—21no—
76#10623079C2211yescharacteristic
77#10623038C2211yescharacteristic, complemented
78#10623038C2211yescharacteristic, complemented
79#10623035C2211yescharacteristic, complemented
80#10623035C2211yescharacteristic, complemented
81#10623025—21no—
82#10623021—21no—
83C11×#489C2211yescharacteristic, complemented
84C11×#484C2211yescharacteristic, complemented
85C11×#480C2211yescharacteristic
86C11×#474C2211yescharacteristic, complemented
87C11×#468C2211yescharacteristic
88C11×#467C2211yescharacteristic, complemented
89C11×#464C2211yescharacteristic, complemented
90C11×#452C2211yescharacteristic, complemented
91C11×#450C2211yescharacteristic, complemented
92C11×#440C2211yescharacteristic, complemented
93C11×#435C2211yescharacteristic, complemented
94C11×#417C2211yescharacteristic, complemented
95C2×C11×#102C2211yescharacteristic, complemented
96#10622851C2211yescharacteristic, complemented
97#10622830C2211yescharacteristic, complemented
98#10622804C2211yescharacteristic, complemented
99#10622798C2211yescharacteristic, complemented
100#10622798C2211yescharacteristic, complemented
101#10622789C2211yescharacteristic
102#10622789C2211yescharacteristic
103#10622783C2211yescharacteristic, complemented
104#10622781C2211yescharacteristic, complemented
105#10622779C2211yescharacteristic, complemented
106#10622778C2211yescharacteristic, complemented
107#10622776C2211yescharacteristic, complemented
108#10622747C2211yescharacteristic, complemented
109#10622740C2211yescharacteristic, complemented
110#10622732C2211yescharacteristic, complemented
111#10622728C2211yescharacteristic
112C8×C22⋊D11C2211yescharacteristic, complemented
113#10622715C2211yescharacteristic, complemented
114#10622702C2211yescharacteristic, complemented
115#10622700C2211yescharacteristic, complemented
116#10622671C2211yescharacteristic, complemented
117#10622667C2211yescharacteristic, complemented
118#10622664C2211yescharacteristic, complemented
119#10622662C2211yescharacteristic
120#10622662C2211yescharacteristic, complemented
121#10622660C2211yescharacteristic, complemented
122#10622660C2211yescharacteristic, complemented
123#10622659C2211yescharacteristic, complemented
124#10622651C2211yescharacteristic
125#10622650C2211yescharacteristic
126#10622641C2211yescharacteristic, complemented
127#10622639C2211yescharacteristic, complemented
128#10622631C2211yescharacteristic, complemented
129#10622628C2211yescharacteristic, complemented
130#10622624C2211yescharacteristic, complemented
131#10622583C2211yescharacteristic, complemented
132#10622580C2211yescharacteristic
133#10622579C2211yescharacteristic, complemented
134C2×#66873C2211yescharacteristic, complemented
135#10622503C2211yescharacteristic, complemented
136#10622503C2211yescharacteristic, complemented
137#10622503C2211yescharacteristic, complemented
138#10622502C2211yescharacteristic, complemented
139#10622502C2211yescharacteristic, complemented
140#10622496C2211yescharacteristic, complemented
141#10622496C2211yescharacteristic, complemented
142#10622495C2211yescharacteristic, complemented
143#10622488C2211yescharacteristic, complemented
144#10622488C2211yescharacteristic, complemented
145#10622486C2211yescharacteristic, complemented
146#10622485C2211yescharacteristic, complemented
147#10622458C2211yescharacteristic, complemented
148#10622456C2211yescharacteristic, complemented
149D11×C4⋊C8C2211yescharacteristic, complemented
150#10622441C2211yescharacteristic, complemented
151#10622432C2211yescharacteristic, complemented
152#10622432C2211yescharacteristic, complemented
153#10622432C2211yescharacteristic, complemented
154#10622432C2211yescharacteristic, complemented
155#10622430C2211yescharacteristic, complemented
156#10622419C2211yescharacteristic, complemented
157#10622419C2211yescharacteristic, complemented
158#10622419C2211yescharacteristic, complemented
159D11×#103C2211yescharacteristic, complemented
160#10622411C2211yescharacteristic, complemented
161#10622411C2211yescharacteristic, complemented
162#10622411C2211yescharacteristic, complemented
163#10622408C2211yescharacteristic, complemented
164#10622407C2211yescharacteristic, complemented
165#10622407C2211yescharacteristic, complemented
166#10622403C2211yescharacteristic, complemented
167#10622400C2211yescharacteristic, complemented
168#10622400C2211yescharacteristic, complemented
169#10622400C2211yescharacteristic, complemented
170#10622399C2211yescharacteristic
171#10622399C2211yescharacteristic
172#10622399C2211yescharacteristic, complemented
173#10622399C2211yescharacteristic, complemented
174#10622388C2211yescharacteristic, complemented
175#10622388C2211yescharacteristic, complemented
176#10622387C2211yescharacteristic, complemented
177#10622386C2211yescharacteristic
178#10622386C2211yescharacteristic
179D11×#102C2211yescharacteristic
180#10622380C2211yescharacteristic, complemented
181#10622380C2211yescharacteristic, complemented
182#10622378C2211yescharacteristic, complemented
183#10622375C2211yescharacteristic
184#10622375C2211yescharacteristic
185#10622375C2211yescharacteristic, complemented
186#10622373C2211yescharacteristic
187#10622373C2211yescharacteristic
188#10622372C2211yescharacteristic, complemented
189#10622370C2211yescharacteristic, complemented
190#10622369C2211yescharacteristic, complemented
191#10622347C2211yescharacteristic
192#10622347C2211yescharacteristic, complemented
193#10622346C2211yescharacteristic, complemented
194#10622345C2211yescharacteristic, complemented
195#10622341C2211yescharacteristic, complemented
196(C22⋊D11)⋊C8C2211yescharacteristic, complemented
197#10622333C2211yescharacteristic, complemented
198#10622333C2211yescharacteristic, complemented
199#10622325C2211yescharacteristic, complemented
200#10622323C2211yescharacteristic, complemented
201#10622318C2211yescharacteristic, complemented
202#10622314C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C22×D4×C11C2311yescharacteristic
205C22×C22⋊D11—21no—
206C2×#4343—21no—
207C2×Q8×D11C2311yescharacteristic
208C2×Q8×D11C2311yescharacteristic
209C2×D4×D11—21no—
210C2×D4×D11C2311yescharacteristic
211C2×#4339—21no—
212C2×#4339—21no—
213C2×#4339—21no—
214C2×#4339C2311yescharacteristic
215C2×#4339C2311yescharacteristic
216C2×#4339C2311yescharacteristic
217C22×D44C2311yescharacteristic
218C2×C11×Q16C2311yescharacteristic
219C2×C11×SD16C2311yescharacteristic
220C2×C11×SD16C2311yescharacteristic
221C2×C11×M16C2311yescharacteristic
222C22×C8×C11C2311yescharacteristic
223C11×C4⋊Q8C2311yescharacteristic
224C11×#125—21no—
225C11×#124C2311yescharacteristic
226C11×#123—21no—
227C11×C22⋊Q8—21no—
228C11×C22⋊Q8—21no—
229C11×C22⋊Q8C2311yescharacteristic
230C11×C22⋊Q8C2311yescharacteristic
231C11×C22⋊Q8C2311yescharacteristic
232C11×#121—21no—
233C11×#121C2311yescharacteristic
234C11×#120—21no—
235C4×Q8×C11C2311yescharacteristic
236C4×D4×C11—21no—
237C4×D4×C11C2311yescharacteristic
238C4×D4×C11C2311yescharacteristic
239C2×C11×C4⋊C4C2311yescharacteristic
240C2×C11×C4⋊C4C2311yescharacteristic
241C2×C11×C22⋊C4—21no—
242#67006—21no—
243#67006—21no—
244#67006—21no—
245#67003—42no—
246#67000—21no—
247#67000C2311yescharacteristic
248#67000C2311yescharacteristic
249#67000C2311yescharacteristic
250#67000C2311yescharacteristic
251Q8×Dic11C2311yescharacteristic
252Q8×Dic11C2311yescharacteristic
253#66997—21no—
254#66997—21no—
255C2×#4326C2311yescharacteristic
256C2×#4326C2311yescharacteristic
257C2×#4325C2311yescharacteristic
258C2×#4325C2311yescharacteristic
259C2×#4325C2311yescharacteristic
260C2×#4325C2311yescharacteristic
261#66993—21no—
262#66993C2311yescharacteristic
263#66993C2311yescharacteristic
264#66993C2311yescharacteristic
265#66992—21no—
266#66991—21no—
267#66991—21no—
268#66991—21no—
269#66991D411yescharacteristic
270#66991C2311yescharacteristic
271#66990—21no—
272#66990—21no—
273#66990—21no—
274#66990—21no—
275#66990—21no—
276#66989—21no—
277#66989—21no—
278#66989D411yescharacteristic
279#66989C2311yescharacteristic
280#66989C2311yescharacteristic
281#66988—21no—
282D4×Dic11C2311yescharacteristic
283C2×#4324C2311yescharacteristic
284C2×#4324C2311yescharacteristic
285#66985—42no—
286C2×#4323C2311yescharacteristic
287C2×#4323C2311yescharacteristic
288C2×#4323C2311yescharacteristic
289C2×#4323C2311yescharacteristic
290#66983—21no—
291#66983—21no—
292#66983C2311yescharacteristic
293#66983C2311yescharacteristic
294#66983C2311yescharacteristic
295#66982—21no—
296#66982—21no—
297#66982—21no—
298C4×C22⋊D11—21no—
299C4×C22⋊D11—21no—
300C4×C22⋊D11—21no—
301C4×C22⋊D11—21no—
302C4×C22⋊D11—21no—
303C4×C22⋊D11—21no—
304C4×C22⋊D11—21no—
305C4×C22⋊D11C2311yescharacteristic
306C4×C22⋊D11C2311yescharacteristic
307#66979C2311yescharacteristic
308#66979C2311yescharacteristic
309#66977—21no—
310#66977C2311yescharacteristic
311C2×#4318C2311yescharacteristic
312C22×C11⋊C8C2311yescharacteristic
313Q16×D11—42no—
314SD16×D11—42no—
315#66961—42no—
316C2×Dic44C2311yescharacteristic
317#66957—42no—
318C2×D88C2311yescharacteristic
319C2×D88C2311yescharacteristic
320C2×D88C2311yescharacteristic
321C2×D88C2311yescharacteristic
322C2×#4314C2311yescharacteristic
323C2×#4314C2311yescharacteristic
324C2×#4314C2311yescharacteristic
325C2×#4314C2311yescharacteristic
326C2×C8×D11C2311yescharacteristic
327C2×C8×D11C2311yescharacteristic
328#66951—21no—
329#66951—21no—
330#66951—21no—
331#66950—21no—
332#66950—21no—
333#66950—21no—
334#66950D411yescharacteristic
335#66949—21no—
336#66949—21no—
337#66949—21no—
338#66949—21no—
339#66949—21no—
340#66948—21no—
341#66948C2311yescharacteristic
342#66948C2311yescharacteristic
343#66948C2311yescharacteristic
344#66947—21no—
345#66947—21no—
346#66947—21no—
347#66947—21no—
348#66947—21no—
349#66946—21no—
350#66946—21no—
351#66946—21no—
352#66946—21no—
353#66946—21no—
354#66946C2311yescharacteristic
355#66946C2311yescharacteristic
356#66946C2311yescharacteristic
357#66946C2311yescharacteristic
358#66946C2311yescharacteristic
359#66945—21no—
360#66945—21no—
361C4⋊C4×D11—21no—
362C4⋊C4×D11—21no—
363C4⋊C4×D11—21no—
364C4⋊C4×D11C2311yescharacteristic
365#66943D411yescharacteristic
366#66941—21no—
367#66941C2311yescharacteristic
368#66941C2311yescharacteristic
369#66941C2311yescharacteristic
370#66940—21no—
371#66940—21no—
372#66940C2311yescharacteristic
373#66940C2311yescharacteristic
374#66940C2311yescharacteristic
375#66940C2311yescharacteristic
376#66939—21no—
377#66938—21no—
378#66938—21no—
379#66938—21no—
380#66938—21no—
381#66938—21no—
382#66938—21no—
383#66938—21no—
384#66938—21no—
385#66938—21no—
386#66938—21no—
387#66938—21no—
388#66937—21no—
389#66937—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#66936—21no—
399#66936—21no—
400#66936—21no—
401#66936D411yescharacteristic
402#66936D411yescharacteristic
403#66935—21no—
404(C22⋊D11)⋊C4—21no—
405C22⋊C4×D11—21no—
406C22⋊C4×D11—21no—
407C22⋊C4×D11—21no—
408#66932—21no—
409#66932D411yescharacteristic
410#66932D411yescharacteristic
411#66931—21no—
412#66928—21no—
413#66928C2311yescharacteristic
414#66927C2311yescharacteristic
415C4×D44—21no—
416C4×D44C2311yescharacteristic
417C42×D11—21no—
418C42×D11C2311yescharacteristic
419C4×Dic22—21no—
420C4×Dic22C2311yescharacteristic
421C4×Dic22C2311yescharacteristic
422C11×#107C2311yescharacteristic
423C11×#107C2311yescharacteristic
424C11×#107C2311yescharacteristic
425C11×C4⋊C8C2311yescharacteristic
426C11×#103C2311yescharacteristic
427C11×#103C2311yescharacteristic
428C11×#103C2311yescharacteristic
429C11×#103C2311yescharacteristic
430C11×#102C2311yescharacteristic
431C11×#102C2311yescharacteristic
432C11×#102C2311yescharacteristic
433C11×#102C2311yescharacteristic
434C11×#102C2311yescharacteristic
435C11×#102C2311yescharacteristic
436C11×C22⋊C8C2311yescharacteristic
437C11×C22⋊C8C2311yescharacteristic
438C11×#97C2311yescharacteristic
439#66899C2311yescharacteristic
440#66899C2311yescharacteristic
441#66896C2311yescharacteristic
442#66896C2311yescharacteristic
443C22⋊(C11⋊C8)C2311yescharacteristic
444C22⋊(C11⋊C8)C2311yescharacteristic
445#66885C2311yescharacteristic
446#66885C2311yescharacteristic
447#66885C2311yescharacteristic
448#66885C2311yescharacteristic
449(C2×D11)⋊C8C2311yescharacteristic
450(C2×D11)⋊C8C2311yescharacteristic
451#66882C2311yescharacteristic
452#66880C2311yescharacteristic
453#66880C2311yescharacteristic
454#66879C2311yescharacteristic
455#66879C2311yescharacteristic
456Dic11⋊C8C2311yescharacteristic
457Dic11⋊C8C2311yescharacteristic
458Dic11⋊C8C2311yescharacteristic
459Dic11⋊C8C2311yescharacteristic
460Dic11⋊C8C2311yescharacteristic
461Dic11⋊C8C2311yescharacteristic
462Dic11⋊C8C2311yescharacteristic
463Dic11⋊C8C2311yescharacteristic
464C8×Dic11C2311yescharacteristic
465C8×Dic11C2311yescharacteristic
466#66874C2311yescharacteristic
467#66874C2311yescharacteristic
468#66874C2311yescharacteristic
469#66874C2311yescharacteristic
470#66873C2311yescharacteristic
471#66873C2311yescharacteristic
472#66873C2311yescharacteristic
473#66873C2311yescharacteristic
474#66873C2311yescharacteristic
475#66873C2311yescharacteristic
476#66873C2311yescharacteristic
477#66873C2311yescharacteristic
478#66871C2311yescharacteristic
479#66871C2311yescharacteristic
480#66871C2311yescharacteristic
481#66871C2311yescharacteristic
482C4⋊(C11⋊C8)C2311yescharacteristic
483#66867C2311yescharacteristic
484#62022—111nomaximal, Sylow
485C24×C11—21no—
486C23×D11—21no—
487C23×D11—21no—
488C11×#41—41no—
489C11×#41—41no—
490C2×Q8×C11—21no—
491C2×Q8×C11C2411yescharacteristic
492C2×Q8×C11C2411yescharacteristic
493C2×D4×C11—21no—
494C2×D4×C11—21no—
495C2×D4×C11—21no—
496C2×D4×C11—41no—
497C2×D4×C11—41no—
498C2×D4×C11C2×D411yescharacteristic
499C2×D4×C11C2411yescharacteristic
500C2×D4×C11C2411yescharacteristic
501C22×C4×C11—21no—
502C22×C4×C11—21no—
503C22×C4×C11—21no—
504C22×C4×C11—21no—
505C22×C4×C11C2411yescharacteristic
506C22×C4×C11C2411yescharacteristic
507C2×C22⋊D11—21no—
508C2×C22⋊D11—21no—
509C2×C22⋊D11—21no—
510C2×C22⋊D11—21no—
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—82no—
522C2×C22⋊D11C2×D411yescharacteristic
523C2×C22⋊D11C2×D411yescharacteristic
524C22×Dic11—21no—
525#4343—82no—
526Q8×D11—22no—
527Q8×D11—41no—
528Q8×D11—41no—
529Q8×D11—41no—
530D4×D11—41no—
531D4×D11—41no—
532D4×D11—82no—
533#4339—22no—
534#4339—22no—
535#4339—41no—
536#4339—41no—
537#4339—41no—
538#4339—41no—
539#4339—82no—
540#4339—82no—
541#4339—82no—
542C2×D44—21no—
543C2×D44—21no—
544C2×D44—21no—
545C2×D44—21no—
546C2×D44—21no—
547C2×D44—21no—
548C2×D44—41no—
549C2×D44—41no—
550C2×D44C2411yescharacteristic
551C2×D44C2411yescharacteristic
552C2×D44C2411yescharacteristic
553C2×D44C2411yescharacteristic
554C2×C4×D11—21no—
555C2×C4×D11—21no—
556C2×C4×D11—21no—
557C2×C4×D11—21no—
558C2×C4×D11—21no—
559C2×C4×D11—21no—
560C2×C4×D11—21no—
561C2×C4×D11—21no—
562C2×C4×D11—21no—
563C2×C4×D11—21no—
564C2×C4×D11—21no—
565C2×C4×D11—21no—
566C2×C4×D11C2×D411yescharacteristic
567C2×C4×D11C2×D411yescharacteristic
568C2×C4×D11C2411yescharacteristic
569C2×Dic22—21no—
570C2×Dic22—21no—
571C2×Dic22—21no—
572C2×Dic22—21no—
573C2×Dic22—21no—
574C2×Dic22C2×D411yescharacteristic
575C2×Dic22C2411yescharacteristic
576C2×Dic22C2411yescharacteristic
577C11×Q16—41no—
578C11×SD16—41no—
579C11×SD16—41no—
580C11×M16—41no—
581C2×C8×C11—41no—
582C2×C8×C11C2411yescharacteristic
583C2×C8×C11C2411yescharacteristic
584C2×C8×C11C2411yescharacteristic
585C2×C8×C11C2411yescharacteristic
586C11×C4⋊C4—21no—
587C11×C4⋊C4—21no—
588C11×C4⋊C4—21no—
589C11×C4⋊C4—21no—
590C11×C4⋊C4—21no—
591C11×C4⋊C4—21no—
592C11×C4⋊C4—21no—
593C11×C4⋊C4C2×D411yescharacteristic
594C11×C4⋊C4C2411yescharacteristic
595C11×C4⋊C4C2411yescharacteristic
596C11×C4⋊C4C2411yescharacteristic
597C11×C4⋊C4C2411yescharacteristic
598C11×C22⋊C4—21no—
599C11×C22⋊C4—21no—
600C11×C22⋊C4—21no—
601C11×C22⋊C4—21no—
602C11×C22⋊C4—21no—
603C11×C22⋊C4—21no—
604C11×C22⋊C4—21no—
605C11×C22⋊C4C2×D411yescharacteristic
606C11×C22⋊C4C2×D411yescharacteristic
607C42×C11—21no—
608C42×C11C2411yescharacteristic
609C22⋊Dic11—21no—
610C22⋊Dic11—21no—
611C22⋊Dic11—21no—
612C22⋊Dic11—21no—
613C22⋊Dic11—21no—
614C22⋊Dic11—21no—
615C22⋊Dic11—21no—
616C22⋊Dic11C2×D411yescharacteristic
617C22⋊Dic11C2×D411yescharacteristic
618C22⋊Dic11C2×D411yescharacteristic
619C22⋊Dic11C2×D411yescharacteristic
620C22⋊Dic11C2×D411yescharacteristic
621C22⋊Dic11C2×D411yescharacteristic
622#4326—22no—
623#4326—41no—
624#4325—41no—
625#4325—41no—
626#4325—41no—
627#4325—41no—
628#4324—22no—
629#4324—22no—
630#4323—41no—
631#4323—41no—
632#4323—41no—
633#4323—41no—
634(C2×D11)⋊C4—21no—
635(C2×D11)⋊C4—21no—
636(C2×D11)⋊C4—21no—
637(C2×D11)⋊C4—21no—
638(C2×D11)⋊C4—21no—
639(C2×D11)⋊C4—21no—
640(C2×D11)⋊C4—21no—
641(C2×D11)⋊C4—21no—
642(C2×D11)⋊C4—21no—
643(C2×D11)⋊C4—21no—
644(C2×D11)⋊C4—21no—
645(C2×D11)⋊C4—21no—
646(C2×D11)⋊C4—21no—
647(C2×D11)⋊C4—21no—
648(C2×D11)⋊C4—21no—
649(C2×D11)⋊C4—21no—
650(C2×D11)⋊C4—21no—
651(C2×D11)⋊C4—21no—
652(C2×D11)⋊C4—21no—
653(C2×D11)⋊C4—21no—
654(C2×D11)⋊C4—21no—
655(C2×D11)⋊C4—21no—
656(C2×D11)⋊C4C2×D411yescharacteristic
657(C2×D11)⋊C4C2×D411yescharacteristic
658C4⋊Dic11—21no—
659C4⋊Dic11—21no—
660C4⋊Dic11C2×D411yescharacteristic
661C4⋊Dic11C2×D411yescharacteristic
662C4⋊Dic11C2×D411yescharacteristic
663C4⋊Dic11C2×D411yescharacteristic
664C4⋊Dic11C2×D411yescharacteristic
665C4⋊Dic11C2411yescharacteristic
666C4⋊Dic11C2411yescharacteristic
667Dic11⋊C4—21no—
668Dic11⋊C4—21no—
669Dic11⋊C4—21no—
670Dic11⋊C4—21no—
671Dic11⋊C4—21no—
672Dic11⋊C4—21no—
673Dic11⋊C4—21no—
674Dic11⋊C4—21no—
675Dic11⋊C4—21no—
676Dic11⋊C4—21no—
677Dic11⋊C4C2×D411yescharacteristic
678Dic11⋊C4C2×D411yescharacteristic
679Dic11⋊C4C2×D411yescharacteristic
680Dic11⋊C4C2×D411yescharacteristic
681C4×Dic11—21no—
682C4×Dic11—21no—
683C4×Dic11—21no—
684C4×Dic11—21no—
685C4×Dic11—21no—
686C4×Dic11—21no—
687C4×Dic11—21no—
688C4×Dic11C2×D411yescharacteristic
689C4×Dic11C2×D411yescharacteristic
690C4×Dic11C2411yescharacteristic
691C4×Dic11C2411yescharacteristic
692C4×Dic11C2411yescharacteristic
693#4318—41no—
694C2×C11⋊C8—41no—
695C2×C11⋊C8C2411yescharacteristic
696C2×C11⋊C8C2411yescharacteristic
697C2×C11⋊C8C2411yescharacteristic
698C2×C11⋊C8C2411yescharacteristic
699Dic44—22no—
700D88—41no—
701D88—41no—
702D88—41no—
703D88—41no—
704#4314—22no—
705#4314—22no—
706#4314—41no—
707#4314—41no—
708C8×D11—41no—
709C8×D11—41no—
710#3558—111no—
711#3522—111no—
712#3403—111no—
713#3403—111no—
714#3375—111no—
715#3375—111no—
716#3314—111no—
717#3314D1111yescharacteristic, complemented
718#3308—111no—
719#3308—111no—
720#3294—111no—
721#3294—111no—
722#3285—111no—
723#3285—111no—
724#3268—111no—
725#3268—111no—
726#3265—111no—
727#3265—111no—
728#3262—111no—
729#3262—111no—
730#3245—111no—
731#3224—111no—
732#3224—111no—
733#3213—111no—
734#3124—111no—
735#3124—111no—
736#3112—111no—
737#3045—111no—
738#3045—111no—
739C2×#464—111no—
740#2992—111no—
741C23×C11—21no—
742C23×C11—21no—
743C23×C11—81no—
744C23×C11—81no—
745C23×C11—81no—
746C23×C11C22×D411yescharacteristic
747C23×C11C22×D411yescharacteristic
748C22×D11—21no—
749C22×D11—21no—
750C22×D11—21no—
751C22×D11—21no—
752C22×D11—42no—
753C22×D11—81no—
754C22×D11—81no—
755C22×D11—81no—
756C22×D11—81no—
757C22×D11—81no—
758C22×D11C22×D411yescharacteristic
759Q8×C11—21no—
760Q8×C11—21no—
761Q8×C11—21no—
762Q8×C11—21no—
763Q8×C11—81no—
764D4×C11—21no—
765D4×C11—21no—
766D4×C11—21no—
767D4×C11—21no—
768D4×C11—41no—
769D4×C11—81no—
770D4×C11—81no—
771D4×C11—81no—
772C2×C4×C11—21no—
773C2×C4×C11—21no—
774C2×C4×C11—21no—
775C2×C4×C11—21no—
776C2×C4×C11—21no—
777C2×C4×C11—21no—
778C2×C4×C11—21no—
779C2×C4×C11—21no—
780C2×C4×C11—21no—
781C2×C4×C11—21no—
782C2×C4×C11—81no—
783C2×C4×C11—81no—
784C2×C4×C11—81no—
785C2×C4×C11—81no—
786C2×C4×C11C22×D411yescharacteristic
787C2×C4×C11C22×D411yescharacteristic
788C2×C4×C11C22×D411yescharacteristic
789C2×C4×C11C22×D411yescharacteristic
790C2×C4×C11C2511yescharacteristic
791C22⋊D11—22no—
792C22⋊D11—22no—
793C22⋊D11—42no—
794C22⋊D11—42no—
795C22⋊D11—42no—
796C22⋊D11—81no—
797C22⋊D11—81no—
798C22⋊D11—81no—
799C22⋊D11—81no—
800C22⋊D11—81no—
801C22⋊D11—81no—
802C22⋊D11—81no—
803C22⋊D11—81no—
804C22⋊D11—81no—
805C22⋊D11—81no—
806C22⋊D11—81no—
807C2×Dic11—21no—
808C2×Dic11—21no—
809C2×Dic11—21no—
810C2×Dic11—21no—
811C2×Dic11—81no—
812C2×Dic11C22×D411yescharacteristic
813C2×Dic11C22×D411yescharacteristic
814C2×Dic11C22×D411yescharacteristic
815C2×Dic11C22×D411yescharacteristic
816C2×Dic11C22×D411yescharacteristic
817C2×Dic11C22×D411yescharacteristic
818C2×Dic11C22×D411yescharacteristic
819D44—21no—
820D44—21no—
821D44—21no—
822D44—21no—
823D44—21no—
824D44—21no—
825D44—21no—
826D44—21no—
827D44—42no—
828D44—42no—
829D44—42no—
830D44—42no—
831D44—81no—
832D44—81no—
833C4×D11—22no—
834C4×D11—21no—
835C4×D11—21no—
836C4×D11—41no—
837C4×D11—42no—
838C4×D11—42no—
839C4×D11—42no—
840C4×D11—42no—
841C4×D11—81no—
842C4×D11—81no—
843C4×D11—81no—
844C4×D11—81no—
845C4×D11—81no—
846C4×D11—81no—
847C4×D11—81no—
848C4×D11—81no—
849Dic22—21no—
850Dic22—21no—
851Dic22—21no—
852Dic22—41no—
853Dic22—42no—
854Dic22—81no—
855Dic22—81no—
856Dic22—81no—
857Dic22—81no—
858Dic22H(5,𝔽2)12yes—
859C8×C11—21no—
860C8×C11—21no—
861C8×C11—21no—
862C8×C11—21no—
863C11⋊C8—21no—
864C11⋊C8—21no—
865C11⋊C8—21no—
866C11⋊C8—21no—
867C2×AGL(1,ℤ/8)—111no—
868C2×AGL(1,ℤ/8)—111no—
869C2×#135—111no—
870C2×#135—111no—
871C22×Q16—111no—
872C22×SD16—111no—
873#562—221no—
874H(3,𝔽4)—221no—
875#559—111no—
876#559—111no—
877#559—111no—
878#559—221no—
879Q82—111no—
880#554—221no—
881#554C2×D1111yescharacteristic, complemented
882#550—111no—
883#548—111no—
884#548—111no—
885#548—111no—
886#548—111no—
887#547—111no—
888#547—111no—
889#547—221no—
890#547—221no—
891#546—111no—
892#546—221no—
893#546—221no—
894#546C2×D1111yescharacteristic
895D42—111no—
896D42—111no—
897#542—111no—
898#542—111no—
899#542—111no—
900#542—111no—
901#542—221no—
902#542—221no—
903#538—221no—
904#538—221no—
905#538—221no—
906#535—111no—
907#535—111no—
908#534—221no—
909#532—111no—
910#532—111no—
911#532—221no—
912#529—111no—
913#529—221no—
914C2×#124—111no—
915#520—111no—
916#520—111no—
917C2×C4×Q8—111no—
918#496—111no—
919#496—111no—
920#496—111no—
921#496—111no—
922#495—111no—
923#495—111no—
924#489—111no—
925#489—111no—
926#489—111no—
927#489C2×D1111yescharacteristic, complemented
928#486—111no—
929#486—111no—
930#484—111no—
931#484C2×D1111yescharacteristic, complemented
932#480—111no—
933#480—111no—
934#480—111no—
935#480C2×D1111yescharacteristic
936#477—111no—
937#477—111no—
938#477—111no—
939#477—111no—
940#474—111no—
941#474—111no—
942#474—111no—
943#474—111no—
944#474—111no—
945#474C2×D1111yescharacteristic, complemented
946#468—111no—
947#468—111no—
948#468—111no—
949#468C2×D1111yescharacteristic
950#467—111no—
951#467C2×D1111yescharacteristic, complemented
952#466—111no—
953#466—111no—
954#466—111no—
955#466—111no—
956#466—111no—
957#466—111no—
958#464—111no—
959#464—111no—
960#464—111no—
961#464—111no—
962#464—111no—
963#464—111no—
964#464—111no—
965#464—111no—
966#464—111no—
967#464—111no—
968#464—111no—
969#464C2×D1111yescharacteristic, complemented
970#463—111no—
971#463—111no—
972#463—111no—
973#463—111no—
974#463—111no—
975#463—111no—
976#463—111no—
977#463—111no—
978#460—111no—
979#460—111no—
980#460—111no—
981#460—111no—
982#459—111no—
983#459—111no—
984#459—111no—
985#459—111no—
986#459—111no—
987#459—111no—
988#452—111no—
989#452—111no—
990#452—111no—
991#452C2×D1111yescharacteristic, complemented
992#450—111no—
993#450C2×D1111yescharacteristic, complemented
994#449—111no—
995#449—111no—
996#449—111no—
997#449—111no—
998#448—111no—
999#448—111no—
1000#448—111no—
1001#448—111no—
1002#447—111no—
1003#447—111no—
1004#447—111no—
1005#447—111no—
1006#446—111no—
1007#446—111no—
1008#440—111no—
1009#440—111no—
1010#440—111no—
1011#440—111no—
1012#440—111no—
1013#440—111no—
1014#440—111no—
1015#440C2×D1111yescharacteristic, complemented
1016C4×Q16—111no—
1017C4×Q16—111no—
1018C4×D8—111no—
1019C4×D8—111no—
1020#435—111no—
1021#435—111no—
1022#435—111no—
1023#435C2×D1111yescharacteristic, complemented
1024C8×D4—111no—
1025C8×D4—111no—
1026#433—111no—
1027#433—111no—
1028#432—111no—
1029#424—111no—
1030#424—111no—
1031C2×C4⋊C8—111no—
1032#417—111no—
1033#417C2×D1111yescharacteristic, complemented
1034C2×#103—111no—
1035C2×#102—111no—
1036C2×#102—111no—
1037C2×#102C2×D1111yescharacteristic, complemented
1038C22×C11—21no—
1039C22×C11—21no—
1040C22×C11—21no—
1041C22×C11—21no—
1042C22×C11—21no—
1043C22×C11—21no—
1044C22×C11—41no—
1045C22×C11—41no—
1046C22×C11—41no—
1047C22×C11—41no—
1048C22×C11—41no—
1049C22×C11—41no—
1050C22×C11—162no—
1051C22×C11C23×D411yescharacteristic
1052C2×D11—21no—
1053C2×D11—21no—
1054C2×D11—41no—
1055C2×D11—41no—
1056C2×D11—41no—
1057C2×D11—41no—
1058C2×D11—41no—
1059C2×D11—41no—
1060C2×D11—41no—
1061C2×D11—41no—
1062C2×D11—41no—
1063C2×D11—41no—
1064C2×D11—41no—
1065C2×D11—41no—
1066C2×D11—162no—
1067C2×D11—162no—
1068C2×D11#57612yes—
1069C4×C11—21no—
1070C4×C11—21no—
1071C4×C11—21no—
1072C4×C11—21no—
1073C4×C11—41no—
1074C4×C11—41no—
1075C4×C11—41no—
1076C4×C11—41no—
1077C4×C11—41no—
1078C4×C11—41no—
1079C4×C11C2×H(5,𝔽2)11yescharacteristic
1080C4×C11#58511yescharacteristic
1081Dic11—21no—
1082Dic11—21no—
1083Dic11—21no—
1084Dic11—22no—
1085Dic11—21no—
1086Dic11—21no—
1087Dic11—21no—
1088Dic11—21no—
1089Dic11—41no—
1090Dic11—41no—
1091Dic11—41no—
1092C2×#41—111no—
1093C2×#41—111no—
1094C2×#41—111no—
1095C2×#41—221no—
1096C2×#41—221no—
1097C2×#41—221no—
1098C2×#41—221no—
1099C2×#41C22×D1111yescharacteristic
1100C22×Q8—111no—
1101C22×Q8—111no—
1102C22×D4—111no—
1103C22×D4—111no—
1104C22×D4—221no—
1105C22×D4—221no—
1106C22×D4C22×D1111yescharacteristic
1107AGL(1,ℤ/8)—442no—
1108AGL(1,ℤ/8)—442no—
1109#135—442no—
1110#135—442no—
1111C2×Q16—111no—
1112C2×Q16—111no—
1113C2×Q16—111no—
1114C2×Q16—442no—
1115C2×Q16C22×D1111yescharacteristic
1116C2×SD16—111no—
1117C2×SD16—111no—
1118C2×SD16—111no—
1119C2×SD16—111no—
1120C2×SD16—111no—
1121C2×SD16—111no—
1122C2×SD16—111no—
1123C2×SD16—111no—
1124C2×SD16—111no—
1125C2×SD16—111no—
1126C2×SD16—442no—
1127C2×SD16C22×D1111yescharacteristic
1128C2×SD16C22×D1111yescharacteristic
1129C2×D8—111no—
1130C2×D8—111no—
1131C2×D8—111no—
1132C2×D8—111no—
1133C2×D8—111no—
1134C2×D8—111no—
1135C2×D8—111no—
1136C2×D8—111no—
1137C2×M16—111no—
1138C2×M16C22×D1111yescharacteristic
1139C22×C8—111no—
1140C22×C8—111no—
1141C22×C8—111no—
1142C22×C8C22×D1111yescharacteristic
1143C4⋊Q8—111no—
1144C4⋊Q8—111no—
1145C4⋊Q8—111no—
1146C4⋊Q8—221no—
1147C4⋊Q8—221no—
1148C4⋊Q8—221no—
1149C4⋊Q8C22×D1111yescharacteristic
1150#127—111no—
1151#127—111no—
1152#127—111no—
1153#127—111no—
1154#127—221no—
1155#126—111no—
1156#126—111no—
1157#126—221no—
1158#126—221no—
1159#126—221no—
1160#126—221no—
1161#125—21no—
1162#125—111no—
1163#124—111no—
1164#124—111no—
1165#124—111no—
1166#124—111no—
1167#124—111no—
1168#124—111no—
1169#124—111no—
1170#124—111no—
1171#124—221no—
1172#124—221no—
1173#124—221no—
1174#124—221no—
1175#124—221no—
1176#124—221no—
1177#124—221no—
1178#124—221no—
1179#124—221no—
1180#124—221no—
1181#124—221no—
1182#124—221no—
1183#124—221no—
1184#124—221no—
1185#124—221no—
1186#124C22×D1111yescharacteristic
1187#123—21no—
1188#123—111no—
1189#123—111no—
1190#123—221no—
1191#123—221no—
1192#123—221no—
1193#123—221no—
1194#123—221no—
1195#123—221no—
1196#123—221no—
1197#123—221no—
1198#123—221no—
1199#123—221no—
1200#123—221no—
1201#123—221no—
1202#123—221no—
1203#123—221no—
1204#123—221no—
1205C22⋊Q8—21no—
1206C22⋊Q8—21no—
1207C22⋊Q8—111no—
1208C22⋊Q8—111no—
1209C22⋊Q8—221no—
1210C22⋊Q8—221no—
1211C22⋊Q8—221no—
1212C22⋊Q8—221no—
1213C22⋊Q8—221no—
1214C22⋊Q8—221no—
1215C22⋊Q8—221no—
1216C22⋊Q8—221no—
1217C22⋊Q8—221no—
1218C22⋊Q8—221no—
1219C22⋊Q8C22×D1111yescharacteristic
1220C22⋊Q8C22×D1111yescharacteristic
1221C22⋊Q8C22×D1111yescharacteristic
1222#121—21no—
1223#121—111no—
1224#121—111no—
1225#121—111no—
1226#121—111no—
1227#121—111no—
1228#121—111no—
1229#121—111no—
1230#121—111no—
1231#121—221no—
1232#121—221no—
1233#121—221no—
1234#121—221no—
1235#121—221no—
1236#121—221no—
1237#121—221no—
1238#121—221no—
1239#121—221no—
1240#121—221no—
1241#121—221no—
1242#121—221no—
1243#121—221no—
1244#121—221no—
1245#121—221no—
1246#121C22×D1111yescharacteristic
1247#120—21no—
1248#120—221no—
1249#120—221no—
1250#120—221no—
1251#120—221no—
1252#120—221no—
1253#120—221no—
1254#120—221no—
1255#120—221no—
1256#120—221no—
1257C4×Q8—111no—
1258C4×Q8—111no—
1259C4×Q8—111no—
1260C4×Q8—111no—
1261C4×Q8—111no—
1262C4×Q8—111no—
1263C4×Q8—111no—
1264C4×Q8—111no—
1265C4×Q8—221no—
1266C4×Q8—221no—
1267C4×Q8—221no—
1268C4×Q8C22×D1111yescharacteristic
1269C4×D4—21no—
1270C4×D4—111no—
1271C4×D4—111no—
1272C4×D4—111no—
1273C4×D4—111no—
1274C4×D4—111no—
1275C4×D4—111no—
1276C4×D4—111no—
1277C4×D4—111no—
1278C4×D4—111no—
1279C4×D4—221no—
1280C4×D4—221no—
1281C4×D4—221no—
1282C4×D4—221no—
1283C4×D4—221no—
1284C4×D4—221no—
1285C4×D4—221no—
1286C4×D4—221no—
1287C4×D4—221no—
1288C4×D4—221no—
1289C4×D4—221no—
1290C4×D4—221no—
1291C4×D4—221no—
1292C4×D4—221no—
1293C4×D4C22×D1111yescharacteristic
1294C4×D4C22×D1111yescharacteristic
1295#117—111no—
1296#117—111no—
1297#117—221no—
1298#117—221no—
1299C2×C4⋊C4—111no—
1300C2×C4⋊C4—221no—
1301C2×C4⋊C4—221no—
1302C2×C4⋊C4—221no—
1303C2×C4⋊C4C22×D1111yescharacteristic
1304C2×C4⋊C4C22×D1111yescharacteristic
1305C2×C22⋊C4—21no—
1306C2×C22⋊C4—221no—
1307C2×C22⋊C4—221no—
1308C2×C22⋊C4—221no—
1309C2×C42—111no—
1310C2×C42—221no—
1311#107—111no—
1312#107—111no—
1313#107—111no—
1314#107—111no—
1315#107—111no—
1316#107C22×D1111yescharacteristic
1317#107C22×D1111yescharacteristic
1318#107C22×D1111yescharacteristic
1319C4⋊C8—111no—
1320C4⋊C8—111no—
1321C4⋊C8—111no—
1322C4⋊C8—111no—
1323C4⋊C8—111no—
1324C4⋊C8—111no—
1325C4⋊C8—111no—
1326C4⋊C8—111no—
1327C4⋊C8—111no—
1328C4⋊C8C22×D1111yescharacteristic
1329#103—111no—
1330#103—111no—
1331#103—111no—
1332#103—111no—
1333#103—111no—
1334#103—111no—
1335#103—111no—
1336#103—111no—
1337#103C22×D1111yescharacteristic
1338#103C22×D1111yescharacteristic
1339#103C22×D1111yescharacteristic
1340#103C22×D1111yescharacteristic
1341#102—111no—
1342#102—111no—
1343#102—111no—
1344#102—111no—
1345#102—111no—
1346#102—111no—
1347#102—111no—
1348#102—111no—
1349#102—111no—
1350#102—111no—
1351#102—111no—
1352#102—111no—
1353#102—111no—
1354#102—111no—
1355#102C22×D1111yescharacteristic
1356#102C22×D1111yescharacteristic
1357#102C22×D1111yescharacteristic
1358#102C22×D1111yescharacteristic
1359#102C22×D1111yescharacteristic
1360#102C22×D1111yescharacteristic
1361C22⋊C8—111no—
1362C22⋊C8—111no—
1363C22⋊C8—111no—
1364C22⋊C8—111no—
1365C22⋊C8C22×D1111yescharacteristic
1366C22⋊C8C22×D1111yescharacteristic
1367#97—111no—
1368#97—111no—
1369#97—111no—
1370#97C22×D1111yescharacteristic
1371C4×C8—111no—
1372C4×C8—111no—
1373C2×C11—41no—
1374C2×C11—41no—
1375C2×C11—81no—
1376C2×C11—81no—
1377C2×C11#348811yescharacteristic
1378C2×C11C2×#57611yescharacteristic
1379C2×C11#358611yescharacteristic
1380D11—22no—
1381D11—81no—
1382D11—81no—
1383D11—81no—
1384D11—81no—
1385C24—21no—
1386C24—221no—
1387C24—221no—
1388#41—41no—
1389#41—41no—
1390#41—222no—
1391#41—222no—
1392#41—441no—
1393#41—441no—
1394#41—441no—
1395#41—441no—
1396#41—882no—
1397#41—882no—
1398#41—882no—
1399#41—882no—
1400C2×Q8—21no—
1401C2×Q8—111no—
1402C2×Q8—111no—
1403C2×Q8—111no—
1404C2×Q8—221no—
1405C2×Q8—221no—
1406C2×Q8—221no—
1407C2×Q8—221no—
1408C2×Q8—221no—
1409C2×Q8—222no—
1410C2×Q8—441no—
1411C2×Q8—441no—
1412C2×Q8—441no—
1413C2×Q8C23×D1111yescharacteristic
1414C2×Q8C23×D1111yescharacteristic
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—41no—
1419C2×D4—41no—
1420C2×D4—111no—
1421C2×D4—111no—
1422C2×D4—111no—
1423C2×D4—111no—
1424C2×D4—111no—
1425C2×D4—111no—
1426C2×D4—221no—
1427C2×D4—221no—
1428C2×D4—221no—
1429C2×D4—221no—
1430C2×D4—221no—
1431C2×D4—221no—
1432C2×D4—221no—
1433C2×D4—221no—
1434C2×D4—221no—
1435C2×D4—221no—
1436C2×D4—221no—
1437C2×D4—221no—
1438C2×D4—221no—
1439C2×D4—221no—
1440C2×D4—221no—
1441C2×D4—221no—
1442C2×D4—221no—
1443C2×D4—221no—
1444C2×D4—221no—
1445C2×D4—221no—
1446C2×D4—441no—
1447C2×D4—441no—
1448C2×D4—441no—
1449C2×D4—441no—
1450C2×D4—882no—
1451C2×D4—882no—
1452C2×D4D4×D1111yescharacteristic
1453C2×D4C23×D1111yescharacteristic
1454C2×D4C23×D1111yescharacteristic
1455C22×C4—21no—
1456C22×C4—21no—
1457C22×C4—21no—
1458C22×C4—21no—
1459C22×C4—111no—
1460C22×C4—111no—
1461C22×C4—111no—
1462C22×C4—221no—
1463C22×C4—221no—
1464C22×C4—221no—
1465C22×C4—221no—
1466C22×C4—221no—
1467C22×C4—221no—
1468C22×C4—221no—
1469C22×C4—221no—
1470C22×C4—221no—
1471C22×C4—221no—
1472C22×C4—221no—
1473C22×C4—221no—
1474C22×C4—221no—
1475C22×C4C23×D1111yescharacteristic
1476C22×C4C23×D1111yescharacteristic
1477Q16—41no—
1478Q16—222no—
1479Q16—222no—
1480Q16—441no—
1481SD16—41no—
1482SD16—41no—
1483SD16—222no—
1484SD16—222no—
1485SD16—222no—
1486SD16—222no—
1487SD16—441no—
1488SD16—441no—
1489SD16—441no—
1490SD16—441no—
1491SD16—441no—
1492SD16—441no—
1493D8—441no—
1494D8—441no—
1495D8—441no—
1496D8—441no—
1497D8—441no—
1498D8—441no—
1499D8—441no—
1500D8—441no—
1501M16—41no—
1502M16—441no—
1503C2×C8—41no—
1504C2×C8—111no—
1505C2×C8—111no—
1506C2×C8—111no—
1507C2×C8—111no—
1508C2×C8—441no—
1509C2×C8—441no—
1510C2×C8—441no—
1511C2×C8C23×D1111yescharacteristic
1512C2×C8C23×D1111yescharacteristic
1513C2×C8C23×D1111yescharacteristic
1514C2×C8C23×D1111yescharacteristic
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—21no—
1519C4⋊C4—21no—
1520C4⋊C4—21no—
1521C4⋊C4—21no—
1522C4⋊C4—111no—
1523C4⋊C4—111no—
1524C4⋊C4—111no—
1525C4⋊C4—111no—
1526C4⋊C4—111no—
1527C4⋊C4—111no—
1528C4⋊C4—111no—
1529C4⋊C4—111no—
1530C4⋊C4—111no—
1531C4⋊C4—111no—
1532C4⋊C4—111no—
1533C4⋊C4—221no—
1534C4⋊C4—221no—
1535C4⋊C4—221no—
1536C4⋊C4—221no—
1537C4⋊C4—221no—
1538C4⋊C4—221no—
1539C4⋊C4—221no—
1540C4⋊C4—221no—
1541C4⋊C4—221no—
1542C4⋊C4—221no—
1543C4⋊C4—221no—
1544C4⋊C4—221no—
1545C4⋊C4D4×D1111yescharacteristic
1546C4⋊C4C23×D1111yescharacteristic
1547C4⋊C4C23×D1111yescharacteristic
1548C4⋊C4C23×D1111yescharacteristic
1549C4⋊C4C23×D1111yescharacteristic
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—111no—
1558C22⋊C4—111no—
1559C22⋊C4—111no—
1560C22⋊C4—111no—
1561C22⋊C4—111no—
1562C22⋊C4—111no—
1563C22⋊C4—111no—
1564C22⋊C4—111no—
1565C22⋊C4—221no—
1566C22⋊C4—221no—
1567C22⋊C4—221no—
1568C22⋊C4—221no—
1569C22⋊C4—221no—
1570C22⋊C4—221no—
1571C22⋊C4—221no—
1572C22⋊C4—221no—
1573C22⋊C4—221no—
1574C22⋊C4—221no—
1575C22⋊C4—221no—
1576C22⋊C4—221no—
1577C22⋊C4—221no—
1578C22⋊C4—221no—
1579C22⋊C4—221no—
1580C22⋊C4—221no—
1581C22⋊C4—221no—
1582C22⋊C4—221no—
1583C22⋊C4—221no—
1584C22⋊C4—221no—
1585C22⋊C4—221no—
1586C22⋊C4—221no—
1587C22⋊C4—221no—
1588C22⋊C4—221no—
1589C22⋊C4—221no—
1590C22⋊C4—221no—
1591C22⋊C4—221no—
1592C22⋊C4—221no—
1593C22⋊C4—221no—
1594C22⋊C4D4×D1111yescharacteristic
1595C22⋊C4D4×D1111yescharacteristic
1596C42—21no—
1597C42—111no—
1598C42—111no—
1599C42—111no—
1600C42—111no—
1601C42—111no—
1602C42—221no—
1603C42—221no—
1604C42—221no—
1605C42—221no—
1606C42—221no—
1607C42—221no—
1608C42—221no—
1609C42C23×D1111yescharacteristic
1610C11#6202211yescharacteristic, complemented, Sylow
1611C23—21no—
1612C23—21no—
1613C23—81no—
1614C23—81no—
1615C23—81no—
1616C23—111no—
1617C23—221no—
1618C23—221no—
1619C23—221no—
1620C23—221no—
1621C23—442no—
1622C23—881no—
1623C23—881no—
1624C23—881no—
1625C23—881no—
1626C23—881no—
1627C23C2×D4×D1111yescharacteristic
1628C23C2×D4×D1111yescharacteristic
1629Q8—21no—
1630Q8—21no—
1631Q8—21no—
1632Q8—21no—
1633Q8—81no—
1634Q8—112no—
1635Q8—221no—
1636Q8—221no—
1637Q8—221no—
1638Q8—441no—
1639Q8—442no—
1640Q8—881no—
1641Q8—881no—
1642Q8—881no—
1643Q8—881no—
1644D4—21no—
1645D4—21no—
1646D4—21no—
1647D4—21no—
1648D4—41no—
1649D4—81no—
1650D4—81no—
1651D4—81no—
1652D4—222no—
1653D4—222no—
1654D4—221no—
1655D4—221no—
1656D4—221no—
1657D4—221no—
1658D4—221no—
1659D4—221no—
1660D4—221no—
1661D4—221no—
1662D4—442no—
1663D4—442no—
1664D4—442no—
1665D4—442no—
1666D4—442no—
1667D4—442no—
1668D4—442no—
1669D4—881no—
1670D4—881no—
1671D4—881no—
1672D4—881no—
1673D4—881no—
1674D4—881no—
1675D4—881no—
1676D4—881no—
1677D4—881no—
1678D4—881no—
1679D4—881no—
1680D4—881no—
1681D4—881no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—81no—
1693C2×C4—81no—
1694C2×C4—81no—
1695C2×C4—81no—
1696C2×C4—111no—
1697C2×C4—111no—
1698C2×C4—111no—
1699C2×C4—111no—
1700C2×C4—111no—
1701C2×C4—111no—
1702C2×C4—111no—
1703C2×C4—222no—
1704C2×C4—221no—
1705C2×C4—221no—
1706C2×C4—221no—
1707C2×C4—221no—
1708C2×C4—221no—
1709C2×C4—221no—
1710C2×C4—441no—
1711C2×C4—442no—
1712C2×C4—442no—
1713C2×C4—442no—
1714C2×C4—442no—
1715C2×C4—881no—
1716C2×C4—881no—
1717C2×C4—881no—
1718C2×C4—881no—
1719C2×C4—881no—
1720C2×C4—881no—
1721C2×C4—881no—
1722C2×C4—881no—
1723C2×C4—881no—
1724C2×C4C2×D4×D1111yescharacteristic
1725C2×C4C2×D4×D1111yescharacteristic
1726C2×C4C2×D4×D1111yescharacteristic
1727C2×C4C2×D4×D1111yescharacteristic
1728C2×C4C24×D1111yescharacteristic
1729C8—21no—
1730C8—21no—
1731C8—21no—
1732C8—21no—
1733C8—221no—
1734C8—221no—
1735C8—221no—
1736C8—221no—
1737C22—21no—
1738C22—21no—
1739C22—21no—
1740C22—21no—
1741C22—21no—
1742C22—21no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—112no—
1750C22—162no—
1751C22—221no—
1752C22—221no—
1753C22—441no—
1754C22—441no—
1755C22—441no—
1756C22—441no—
1757C22—441no—
1758C22—441no—
1759C22—441no—
1760C22—441no—
1761C22—441no—
1762C22—441no—
1763C22—441no—
1764C22—441no—
1765C22—1762no—
1766C22—1762no—
1767C22C22×D4×D1111yescharacteristic
1768C4—21no—
1769C4—21no—
1770C4—21no—
1771C4—21no—
1772C4—41no—
1773C4—41no—
1774C4—41no—
1775C4—41no—
1776C4—41no—
1777C4—41no—
1778C4—221no—
1779C4—221no—
1780C4—221no—
1781C4—221no—
1782C4—222no—
1783C4—221no—
1784C4—221no—
1785C4—221no—
1786C4—441no—
1787C4—441no—
1788C4—441no—
1789C4#1062345311yescharacteristic
1790C4D11×H(5,𝔽2)11yescharacteristic
1791C2—41no—
1792C2—41no—
1793C2—81no—
1794C2—81no—
1795C2—222no—
1796C2—881no—
1797C2—881no—
1798C2—881no—
1799C2—881no—
1800C2#1308227911yescharacteristic
1801C2D11×#57611yescharacteristic
1802C2#1308339911yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3314C2
socleC22×C11C23×D4
hypercenter#3314D11
hypocenterC11#62022
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3314

Complements

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

NH ≅ G/Ntype
1. #13083125C2semidirect
2. #13082700C2semidirect
3. #13081705C2semidirect
4. #13081703C2semidirect
5. #13081433C2semidirect
6. #13081427C2semidirect
7. #13080691C2semidirect
8. #13080610C2semidirect
9. #13080608C2semidirect
10. #13080427C2semidirect
11. #13080425C2semidirect
12. #13080360C2semidirect
13. #13080355C2semidirect
14. #13080161C2semidirect
15. #13080152C2semidirect
16. #13080118C2semidirect
17. #13080109C2semidirect
18. #13080078C2semidirect
19. #13080073C2semidirect
20. #13079925C2semidirect
21. #13079716C2semidirect
22. #13079714C2semidirect
23. #13079604C2semidirect
24. #13078881C2semidirect
25. #13078873C2semidirect
26. #13078736C2semidirect
27. #13078160C2semidirect
28. #13078154C2semidirect
29. D11×#464C2semidirect
30. #13077751C2semidirect
31. C11×#3314C2semidirect
32. C11×#554C22semidirect
36. C2×#67003C22semidirect
39. C2×#66985C22semidirect
40. C2×Q16×D11C22semidirect
42. C2×#66961C22semidirect
43. C2×#66957C22semidirect
44. #10623256C22semidirect
45. #10623253C22semidirect
53. #10623174C22semidirect
54. #10623174C22semidirect
58. #10623164C22semidirect
59. #10623164C22semidirect
68. #10623116C22semidirect
69. C4×Q8×D11C22semidirect
73. #10623084C22semidirect
77. #10623038C22semidirect
78. #10623038C22semidirect
79. #10623035C22semidirect
80. #10623035C22semidirect
83. C11×#489C22semidirect
84. C11×#484C22semidirect
86. C11×#474C22semidirect
88. C11×#467C22semidirect
89. C11×#464C22semidirect
90. C11×#452C22semidirect
91. C11×#450C22semidirect
92. C11×#440C22semidirect
93. C11×#435C22semidirect
94. C11×#417C22semidirect
95. C2×C11×#102C22semidirect
96. #10622851C22semidirect
97. #10622830C22semidirect
98. #10622804C22semidirect
99. #10622798C22semidirect
100. #10622798C22semidirect
103. #10622783C22semidirect
104. #10622781C22semidirect
105. #10622779C22semidirect
106. #10622778C22semidirect
107. #10622776C22semidirect
108. #10622747C22semidirect
109. #10622740C22semidirect
110. #10622732C22semidirect
112. C8×C22⋊D11C22semidirect
113. #10622715C22semidirect
114. #10622702C22semidirect
115. #10622700C22semidirect
116. #10622671C22semidirect
117. #10622667C22semidirect
118. #10622664C22semidirect
120. #10622662C22semidirect
121. #10622660C22semidirect
122. #10622660C22semidirect
123. #10622659C22semidirect
126. #10622641C22semidirect
127. #10622639C22semidirect
128. #10622631C22semidirect
129. #10622628C22semidirect
130. #10622624C22semidirect
131. #10622583C22semidirect
133. #10622579C22semidirect
134. C2×#66873C22semidirect
135. #10622503C22semidirect
136. #10622503C22semidirect
137. #10622503C22semidirect
138. #10622502C22semidirect
139. #10622502C22semidirect
140. #10622496C22semidirect
141. #10622496C22semidirect
142. #10622495C22semidirect
143. #10622488C22semidirect
144. #10622488C22semidirect
145. #10622486C22semidirect
146. #10622485C22semidirect
147. #10622458C22semidirect
148. #10622456C22semidirect
149. D11×C4⋊C8C22semidirect
150. #10622441C22semidirect
151. #10622432C22semidirect
152. #10622432C22semidirect
153. #10622432C22semidirect
154. #10622432C22semidirect
155. #10622430C22semidirect
156. #10622419C22semidirect
157. #10622419C22semidirect
158. #10622419C22semidirect
159. D11×#103C22semidirect
160. #10622411C22semidirect
161. #10622411C22semidirect
162. #10622411C22semidirect
163. #10622408C22semidirect
164. #10622407C22semidirect
165. #10622407C22semidirect
166. #10622403C22semidirect
167. #10622400C22semidirect
168. #10622400C22semidirect
169. #10622400C22semidirect
172. #10622399C22semidirect
173. #10622399C22semidirect
174. #10622388C22semidirect
175. #10622388C22semidirect
176. #10622387C22semidirect
180. #10622380C22semidirect
181. #10622380C22semidirect
182. #10622378C22semidirect
185. #10622375C22semidirect
188. #10622372C22semidirect
189. #10622370C22semidirect
190. #10622369C22semidirect
192. #10622347C22semidirect
193. #10622346C22semidirect
194. #10622345C22semidirect
195. #10622341C22semidirect
196. (C22⋊D11)⋊C8C22semidirect
197. #10622333C22semidirect
198. #10622333C22semidirect
199. #10622325C22semidirect
200. #10622323C22semidirect
201. #10622318C22semidirect
202. #10622314C22semidirect
717. #3314D11semidirect
881. #554C2×D11semidirect
927. #489C2×D11semidirect
931. #484C2×D11semidirect
945. #474C2×D11semidirect
951. #467C2×D11semidirect
969. #464C2×D11semidirect
991. #452C2×D11semidirect
993. #450C2×D11semidirect
1015. #440C2×D11semidirect
1023. #435C2×D11semidirect
1033. #417C2×D11semidirect
1037. C2×#102C2×D11semidirect
1610. C11#62022semidirect

Maximal subgroups

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

subgroupindex
#130831252
#130827002
#130817052
#130817032
#130814332
#130814272
#130806912
#130806102
#130806082
#130804272
#130804252
#130803602
#130803552
#130801612
#130801522
#130801182
#130801092
#130800782
#130800732
#130799252
#130797162
#130797142
#130796042
#130788812
#130788732
#130787362
#130781602
#130781542
D11×#4642
#130777512
C11×#33142
#6202211