Finite Group Databasebeta

← #15647010

Subgroups — #15647010

Order 2816.

1868 conjugacy classes of subgroups.

The subgroup lattice has 1772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082570C211yesmaximal, characteristic, complemented
2#13082210C211yesmaximal, characteristic, complemented
3#13081623C211yesmaximal, characteristic, complemented
4#13081613C211yesmaximal, characteristic, complemented
5#13081309C211yesmaximal, characteristic, complemented
6#13081304C211yesmaximal, characteristic, complemented
7#13080895C211yesmaximal, characteristic, complemented
8#13080872C211yesmaximal, characteristic, complemented
9#13080845C211yesmaximal, characteristic, complemented
10#13080818C211yesmaximal, characteristic, complemented
11#13080811C211yesmaximal, characteristic, complemented
12#13080280C211yesmaximal, characteristic, complemented
13#13080270C211yesmaximal, characteristic, complemented
14#13080269C211yesmaximal, characteristic, complemented
15#13080252C211yesmaximal, characteristic, complemented
16#13080245C211yesmaximal, characteristic, complemented
17#13080233C211yesmaximal, characteristic, complemented
18#13080019C211yesmaximal, characteristic, complemented
19#13080011C211yesmaximal, characteristic, complemented
20#13079973C211yesmaximal, characteristic, complemented
21#13079582C211yesmaximal, characteristic, complemented
22#13079580C211yesmaximal, characteristic, complemented
23#13079547C211yesmaximal, characteristic, complemented
24#13078699C211yesmaximal, characteristic, complemented
25#13078638C211yesmaximal, characteristic, complemented
26#13078629C211yesmaximal, characteristic, complemented
27#13078113C211yesmaximal, characteristic, complemented
28#13078105C211yesmaximal, characteristic, complemented
29#13078087C211yesmaximal, characteristic, complemented
30#13077744C211yesmaximal, characteristic, complemented
31C11×#3326C211yesmaximal, characteristic, complemented
32C11×#553C2211yescharacteristic, complemented
33C11×#548C2211yescharacteristic
34#10623363C2211yescharacteristic
35#10623360C2211yescharacteristic
36C2×#67004C2211yescharacteristic, complemented
37Q8×C22⋊D11C2211yescharacteristic
38C2×#67000C2211yescharacteristic
39C2×#66995C2211yescharacteristic, complemented
40C2×#66968C2211yescharacteristic, complemented
41C2×#66964C2211yescharacteristic
42C2×#66962C2211yescharacteristic, complemented
43C2×#66961C2211yescharacteristic
44#10623237—21no—
45#10623233—21no—
46#10623222C2211yescharacteristic, complemented
47#10623216C2211yescharacteristic, complemented
48#10623212C2211yescharacteristic
49#10623209—21no—
50D11×#124C2211yescharacteristic
51#10623201—21no—
52#10623195—21no—
53#10623180—21no—
54#10623171—21no—
55#10623168—21no—
56#10623164C2211yescharacteristic
57#10623155C2211yescharacteristic
58#10623148—21no—
59#10623141—21no—
60#10623140C2211yescharacteristic
61#10623132—21no—
62#10623131C2211yescharacteristic
63#10623131C2211yescharacteristic, complemented
64#10623130C2211yescharacteristic
65#10623129C2211yescharacteristic, complemented
66#10623127—21no—
67#10623127C2211yescharacteristic, complemented
68#10623111C2211yescharacteristic
69#10623099C2211yescharacteristic
70#10623090C2211yescharacteristic, complemented
71#10623087—21no—
72#10623083C2211yescharacteristic, complemented
73#10623081C2211yescharacteristic
74#10623076—21no—
75#10623071—21no—
76C4×#4341—21no—
77C4×#4341C2211yescharacteristic
78C4×#4341C2211yescharacteristic, complemented
79#10623064C2211yescharacteristic
80#10623053C2211yescharacteristic, complemented
81#10623045C2211yescharacteristic, complemented
82C2×#66940C2211yescharacteristic, complemented
83C11×#488C2211yescharacteristic, complemented
84C11×#483C2211yescharacteristic, complemented
85C11×#482C2211yescharacteristic
86C11×#479C2211yescharacteristic, complemented
87C11×#469C2211yescharacteristic
88C11×#468C2211yescharacteristic, complemented
89C11×#463C2211yescharacteristic, complemented
90C11×#449C2211yescharacteristic, complemented
91C11×#448C2211yescharacteristic, complemented
92C4×C11×SD16C2211yescharacteristic, complemented
93C11×#436C2211yescharacteristic, complemented
94C11×#419C2211yescharacteristic, complemented
95C11×#417C2211yescharacteristic, complemented
96#10622851C2211yescharacteristic, complemented
97#10622841C2211yescharacteristic, complemented
98#10622788C2211yescharacteristic, complemented
99#10622786C2211yescharacteristic, complemented
100#10622781C2211yescharacteristic
101#10622781C2211yescharacteristic, complemented
102#10622778C2211yescharacteristic
103#10622778C2211yescharacteristic, complemented
104#10622776C2211yescharacteristic, complemented
105#10622766C2211yescharacteristic, complemented
106#10622766C2211yescharacteristic, complemented
107#10622764C2211yescharacteristic
108#10622750C2211yescharacteristic, complemented
109#10622748C2211yescharacteristic
110#10622741C2211yescharacteristic
111#10622741C2211yescharacteristic, complemented
112#10622731C2211yescharacteristic, complemented
113#10622731C2211yescharacteristic, complemented
114#10622681C2211yescharacteristic
115#10622679C2211yescharacteristic, complemented
116#10622672C2211yescharacteristic, complemented
117#10622667C2211yescharacteristic, complemented
118#10622663C2211yescharacteristic, complemented
119#10622662C2211yescharacteristic, complemented
120#10622655C2211yescharacteristic
121#10622655C2211yescharacteristic, complemented
122#10622652C2211yescharacteristic
123#10622650C2211yescharacteristic
124#10622650C2211yescharacteristic, complemented
125#10622649C2211yescharacteristic
126C4×#4326C2211yescharacteristic, complemented
127#10622641C2211yescharacteristic, complemented
128#10622629C2211yescharacteristic
129C4×#4323C2211yescharacteristic, complemented
130#10622625C2211yescharacteristic, complemented
131#10622614C2211yescharacteristic
132#10622609C2211yescharacteristic, complemented
133#10622580C2211yescharacteristic
134#10622579C2211yescharacteristic, complemented
135#10622504C2211yescharacteristic, complemented
136#10622503C2211yescharacteristic
137#10622499C2211yescharacteristic
138#10622486C2211yescharacteristic, complemented
139#10622479C2211yescharacteristic
140#10622478C2211yescharacteristic
141#10622470C2211yescharacteristic, complemented
142#10622470C2211yescharacteristic, complemented
143#10622470C2211yescharacteristic, complemented
144#10622465C2211yescharacteristic
145#10622465C2211yescharacteristic
146#10622465C2211yescharacteristic, complemented
147#10622458C2211yescharacteristic
148#10622457C2211yescharacteristic, complemented
149#10622450C2211yescharacteristic, complemented
150#10622443C2211yescharacteristic, complemented
151#10622432C2211yescharacteristic
152#10622432C2211yescharacteristic
153#10622432C2211yescharacteristic, complemented
154#10622432C2211yescharacteristic, complemented
155#10622429C2211yescharacteristic, complemented
156#10622428C2211yescharacteristic, complemented
157#10622425C2211yescharacteristic, complemented
158#10622421C2211yescharacteristic, complemented
159#10622419C2211yescharacteristic, complemented
160#10622415C2211yescharacteristic, complemented
161#10622413C2211yescharacteristic
162#10622413C2211yescharacteristic, complemented
163#10622411C2211yescharacteristic
164#10622411C2211yescharacteristic
165#10622411C2211yescharacteristic
166#10622411C2211yescharacteristic, complemented
167#10622411C2211yescharacteristic, complemented
168#10622411C2211yescharacteristic, complemented
169#10622406C2211yescharacteristic, complemented
170#10622406C2211yescharacteristic, complemented
171#10622405C2211yescharacteristic, complemented
172#10622404C2211yescharacteristic, complemented
173#10622403C2211yescharacteristic, complemented
174#10622403C2211yescharacteristic, complemented
175#10622400C2211yescharacteristic, complemented
176#10622399C2211yescharacteristic
177#10622394C2211yescharacteristic
178#10622389C2211yescharacteristic
179#10622386C2211yescharacteristic
180#10622383C2211yescharacteristic
181#10622380C2211yescharacteristic, complemented
182#10622380C2211yescharacteristic, complemented
183#10622380C2211yescharacteristic, complemented
184#10622376C2211yescharacteristic, complemented
185#10622376C2211yescharacteristic, complemented
186#10622375C2211yescharacteristic
187#10622375C2211yescharacteristic
188#10622373C2211yescharacteristic
189#10622371C2211yescharacteristic, complemented
190#10622369C2211yescharacteristic, complemented
191#10622351C2211yescharacteristic
192#10622347C2211yescharacteristic, complemented
193#10622346C2211yescharacteristic, complemented
194#10622344C2211yescharacteristic
195#10622342C2211yescharacteristic
196#10622342C2211yescharacteristic, complemented
197#10622331C2211yescharacteristic, complemented
198#10622331C2211yescharacteristic, complemented
199#10622309C2211yescharacteristic
200C4×#4314C2211yescharacteristic, complemented
201#10622298C2211yescharacteristic, complemented
202C8×Dic22C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C22×Q8×C11C2311yescharacteristic
205C2×Q8×D11C2311yescharacteristic
206C2×#4341—21no—
207C2×#4341D411yescharacteristic
208C2×#4341C2311yescharacteristic
209C2×D4×D11—21no—
210C2×D4×D11C2311yescharacteristic
211C2×#4339C2311yescharacteristic
212C2×#4339C2311yescharacteristic
213C22×D44C2311yescharacteristic
214C22×Dic22C2311yescharacteristic
215C2×C11×SD16C2311yescharacteristic
216C2×C11×SD16C2311yescharacteristic
217C2×C11×D8C2311yescharacteristic
218C2×C11×M16C2311yescharacteristic
219C2×C11×M16C2311yescharacteristic
220C11×#126—21no—
221C11×#125C2311yescharacteristic
222C11×#124—21no—
223C11×#124C2311yescharacteristic
224C11×#123—21no—
225C11×C22⋊Q8—21no—
226C11×C22⋊Q8C2311yescharacteristic
227C11×#121—21no—
228C11×#121—21no—
229C11×#121C2311yescharacteristic
230C11×#121C2311yescharacteristic
231C11×#121C2311yescharacteristic
232C4×Q8×C11C2311yescharacteristic
233C4×D4×C11—21no—
234C4×D4×C11—21no—
235C4×D4×C11C2311yescharacteristic
236C4×D4×C11C2311yescharacteristic
237C11×#117C2311yescharacteristic
238C2×C11×C4⋊C4C2311yescharacteristic
239#67004—42no—
240#67000—21no—
241#67000—21no—
242#67000C2311yescharacteristic
243#67000C2311yescharacteristic
244#67000C2311yescharacteristic
245#67000C2311yescharacteristic
246#66999—21no—
247#66999C2311yescharacteristic
248Q8×Dic11C2311yescharacteristic
249#66997—21no—
250#66997C2311yescharacteristic
251C2×#4326C2311yescharacteristic
252C2×#4326C2311yescharacteristic
253C2×#4326C2311yescharacteristic
254C2×#4326C2311yescharacteristic
255#66995—42no—
256C2×#4325C2311yescharacteristic
257C2×#4325C2311yescharacteristic
258#66993—21no—
259#66993C2311yescharacteristic
260#66993C2311yescharacteristic
261#66992—21no—
262#66992—21no—
263#66992—21no—
264#66992—21no—
265#66992—21no—
266#66992—21no—
267#66992—21no—
268#66990—21no—
269#66990—21no—
270#66990—21no—
271#66989C2311yescharacteristic
272#66989C2311yescharacteristic
273#66988—21no—
274#66988—21no—
275D4×Dic11—21no—
276D4×Dic11—21no—
277D4×Dic11—21no—
278D4×Dic11D411yescharacteristic
279D4×Dic11C2311yescharacteristic
280D4×Dic11C2311yescharacteristic
281C2×#4324C2311yescharacteristic
282C2×#4324C2311yescharacteristic
283C2×#4324C2311yescharacteristic
284C2×#4323C2311yescharacteristic
285C2×#4323C2311yescharacteristic
286C2×#4323C2311yescharacteristic
287#66983—21no—
288#66983C2311yescharacteristic
289#66983C2311yescharacteristic
290#66982—21no—
291#66982—21no—
292C4×C22⋊D11—21no—
293C4×C22⋊D11—21no—
294C4×C22⋊D11—21no—
295C4×C22⋊D11—21no—
296C4×C22⋊D11—21no—
297C4×C22⋊D11—21no—
298C4×C22⋊D11C2311yescharacteristic
299C4×C22⋊D11C2311yescharacteristic
300C2×(C2×D11)⋊C4—21no—
301C2×(C2×D11)⋊C4—21no—
302C2×(C2×D11)⋊C4—21no—
303#66977—21no—
304#66977C2311yescharacteristic
305#66977C2311yescharacteristic
306C2×Dic11⋊C4—21no—
307C2×C4×Dic11—21no—
308C2×C4×Dic11—21no—
309C2×C4×Dic11C2311yescharacteristic
310C2×C4×Dic11C2311yescharacteristic
311C2×#4318C2311yescharacteristic
312C2×#4318C2311yescharacteristic
313#66968—42no—
314#66964—42no—
315#66962—42no—
316#66961—42no—
317C2×Dic44C2311yescharacteristic
318C2×Dic44C2311yescharacteristic
319C2×D88C2311yescharacteristic
320C2×D88C2311yescharacteristic
321C2×#4314C2311yescharacteristic
322C2×#4314C2311yescharacteristic
323C2×#4314C2311yescharacteristic
324C2×#4314C2311yescharacteristic
325C2×#4314C2311yescharacteristic
326C2×#4313C2311yescharacteristic
327C2×#4313C2311yescharacteristic
328#66951—21no—
329#66951—21no—
330#66951—21no—
331#66951—21no—
332#66951—21no—
333#66950C2311yescharacteristic
334#66949—21no—
335#66949—21no—
336#66949—21no—
337#66948C2311yescharacteristic
338#66948C2311yescharacteristic
339#66947—21no—
340#66947—21no—
341#66947—21no—
342#66947—21no—
343#66946—21no—
344#66946—21no—
345#66946C2311yescharacteristic
346#66946C2311yescharacteristic
347#66946C2311yescharacteristic
348#66945—21no—
349#66945—21no—
350#66945D411yescharacteristic
351#66945C2311yescharacteristic
352#66943C2311yescharacteristic
353#66943C2311yescharacteristic
354#66942—21no—
355#66942—21no—
356#66941—21no—
357#66941C2311yescharacteristic
358#66940—21no—
359#66940—21no—
360#66940—21no—
361#66940D411yescharacteristic
362#66940C2311yescharacteristic
363#66940C2311yescharacteristic
364#66940C2311yescharacteristic
365#66940C2311yescharacteristic
366#66940C2311yescharacteristic
367#66940C2311yescharacteristic
368#66939—21no—
369#66939—21no—
370#66938—21no—
371#66938—21no—
372#66938—21no—
373#66938—21no—
374#66938—21no—
375#66938—21no—
376#66938—21no—
377#66938—21no—
378#66938—21no—
379#66937—21no—
380#66937—21no—
381#66937—21no—
382#66937—21no—
383#66936—21no—
384#66936—21no—
385#66935—21no—
386(C22⋊D11)⋊C4—21no—
387(C22⋊D11)⋊C4—21no—
388(C22⋊D11)⋊C4—21no—
389(C22⋊D11)⋊C4—21no—
390(C22⋊D11)⋊C4—21no—
391(C22⋊D11)⋊C4—21no—
392(C22⋊D11)⋊C4—21no—
393(C22⋊D11)⋊C4—21no—
394(C22⋊D11)⋊C4D411yescharacteristic
395(C22⋊D11)⋊C4D411yescharacteristic
396C22⋊C4×D11—21no—
397C22⋊C4×D11—21no—
398C22⋊C4×D11—21no—
399#66932—21no—
400#66932—21no—
401#66932—21no—
402#66931—21no—
403#66930—21no—
404#66930—21no—
405#66930—21no—
406#66930D411yescharacteristic
407#66930D411yescharacteristic
408#66929—21no—
409#66929—21no—
410#66928C2311yescharacteristic
411#66928C2311yescharacteristic
412C4×D44—21no—
413C4×D44C2311yescharacteristic
414#66925—21no—
415#66925—21no—
416#66925—21no—
417C42×D11—21no—
418C42×D11C2311yescharacteristic
419C4×Dic22—21no—
420C4×Dic22C2311yescharacteristic
421C4×Dic22C2311yescharacteristic
422C11×#107C2311yescharacteristic
423C11×#106C2311yescharacteristic
424C11×#106C2311yescharacteristic
425C11×C4⋊C8C2311yescharacteristic
426C11×#103C2311yescharacteristic
427C11×#103C2311yescharacteristic
428C11×#103C2311yescharacteristic
429C11×#103C2311yescharacteristic
430C11×#103C2311yescharacteristic
431C11×#103C2311yescharacteristic
432C11×#102C2311yescharacteristic
433C11×#102C2311yescharacteristic
434C11×#102C2311yescharacteristic
435C11×#102C2311yescharacteristic
436C11×C22⋊C8C2311yescharacteristic
437C11×C22⋊C8C2311yescharacteristic
438C4×C8×C11C2311yescharacteristic
439#66899C2311yescharacteristic
440#66899C2311yescharacteristic
441#66896C2311yescharacteristic
442#66896C2311yescharacteristic
443C22⋊(C11⋊C8)C2311yescharacteristic
444C22⋊(C11⋊C8)C2311yescharacteristic
445#66885C2311yescharacteristic
446#66885C2311yescharacteristic
447#66885C2311yescharacteristic
448(C2×D11)⋊C8C2311yescharacteristic
449(C2×D11)⋊C8C2311yescharacteristic
450#66881C2311yescharacteristic
451#66880C2311yescharacteristic
452#66880C2311yescharacteristic
453#66880C2311yescharacteristic
454Dic11⋊C8C2311yescharacteristic
455Dic11⋊C8C2311yescharacteristic
456Dic11⋊C8C2311yescharacteristic
457Dic11⋊C8C2311yescharacteristic
458Dic11⋊C8C2311yescharacteristic
459Dic11⋊C8C2311yescharacteristic
460Dic11⋊C8C2311yescharacteristic
461Dic11⋊C8C2311yescharacteristic
462C8×Dic11C2311yescharacteristic
463C8×Dic11C2311yescharacteristic
464C8×Dic11C2311yescharacteristic
465C8×Dic11C2311yescharacteristic
466#66874C2311yescharacteristic
467#66874C2311yescharacteristic
468#66874C2311yescharacteristic
469#66874C2311yescharacteristic
470#66874C2311yescharacteristic
471#66873C2311yescharacteristic
472#66873C2311yescharacteristic
473#66873C2311yescharacteristic
474#66873C2311yescharacteristic
475#66873C2311yescharacteristic
476#66873C2311yescharacteristic
477#66873C2311yescharacteristic
478#66872C2311yescharacteristic
479#66871C2311yescharacteristic
480#66871C2311yescharacteristic
481#66871C2311yescharacteristic
482C4⋊(C11⋊C8)C2311yescharacteristic
483C4×C11⋊C8C2311yescharacteristic
484#62006—111nomaximal, Sylow
485C23×D11—21no—
486C23×D11—21no—
487C11×#41—41no—
488C11×#41—41no—
489C2×Q8×C11—21no—
490C2×Q8×C11—41no—
491C2×Q8×C11—41no—
492C2×Q8×C11C2411yescharacteristic
493C2×Q8×C11C2411yescharacteristic
494C2×D4×C11—21no—
495C2×D4×C11—21no—
496C2×D4×C11—21no—
497C2×D4×C11—21no—
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⋊D11C2×D411yescharacteristic
518C2×C22⋊D11C2×D411yescharacteristic
519C22×Dic11—21no—
520C22×Dic11—21no—
521C22×Dic11—21no—
522C22×Dic11—21no—
523C22×Dic11C2×D411yescharacteristic
524C22×Dic11C2×D411yescharacteristic
525C22×Dic11C2×D411yescharacteristic
526C22×Dic11C2×D411yescharacteristic
527Q8×D11—41no—
528Q8×D11—41no—
529#4341—22no—
530#4341—41no—
531#4341—42no—
532#4341—44no—
533D4×D11—41no—
534D4×D11—41no—
535D4×D11—44no—
536#4339—22no—
537#4339—41no—
538#4339—41no—
539#4339—41no—
540C2×D44—21no—
541C2×D44—21no—
542C2×D44—21no—
543C2×D44—41no—
544C2×D44—41no—
545C2×D44C2411yescharacteristic
546C2×D44C2411yescharacteristic
547C2×D44C2411yescharacteristic
548C2×C4×D11—21no—
549C2×C4×D11—21no—
550C2×C4×D11—21no—
551C2×C4×D11—21no—
552C2×C4×D11—21no—
553C2×C4×D11—21no—
554C2×C4×D11—21no—
555C2×C4×D11C2×D411yescharacteristic
556C2×C4×D11C2×D411yescharacteristic
557C2×C4×D11C2411yescharacteristic
558C2×Dic22—22no—
559C2×Dic22—21no—
560C2×Dic22—21no—
561C2×Dic22—21no—
562C2×Dic22—41no—
563C2×Dic22C2×D411yescharacteristic
564C2×Dic22C2411yescharacteristic
565C2×Dic22C2411yescharacteristic
566C2×Dic22C2411yescharacteristic
567C11×SD16—41no—
568C11×SD16—41no—
569C11×D8—41no—
570C11×M16—41no—
571C11×M16—41no—
572C2×C8×C11C2411yescharacteristic
573C2×C8×C11C2411yescharacteristic
574C2×C8×C11C2411yescharacteristic
575C2×C8×C11C2411yescharacteristic
576C11×C4⋊C4—21no—
577C11×C4⋊C4—21no—
578C11×C4⋊C4—21no—
579C11×C4⋊C4—21no—
580C11×C4⋊C4—21no—
581C11×C4⋊C4C2×D411yescharacteristic
582C11×C4⋊C4C2411yescharacteristic
583C11×C4⋊C4C2411yescharacteristic
584C11×C4⋊C4C2411yescharacteristic
585C11×C4⋊C4C2411yescharacteristic
586C11×C22⋊C4—21no—
587C11×C22⋊C4—21no—
588C11×C22⋊C4—21no—
589C11×C22⋊C4—21no—
590C11×C22⋊C4—21no—
591C11×C22⋊C4—21no—
592C11×C22⋊C4—21no—
593C11×C22⋊C4—21no—
594C11×C22⋊C4C2×D411yescharacteristic
595C11×C22⋊C4C2×D411yescharacteristic
596C42×C11—21no—
597C42×C11—21no—
598C42×C11C2411yescharacteristic
599C22⋊Dic11—21no—
600C22⋊Dic11—21no—
601C22⋊Dic11—21no—
602C22⋊Dic11—21no—
603C22⋊Dic11—21no—
604C22⋊Dic11—21no—
605C22⋊Dic11—21no—
606C22⋊Dic11—21no—
607C22⋊Dic11C2×D411yescharacteristic
608C22⋊Dic11C2×D411yescharacteristic
609#4326—22no—
610#4326—22no—
611#4326—41no—
612#4326—41no—
613#4325—41no—
614#4325—41no—
615#4324—22no—
616#4324—41no—
617#4324—41no—
618#4323—41no—
619#4323—41no—
620#4323—41no—
621(C2×D11)⋊C4—21no—
622(C2×D11)⋊C4—21no—
623(C2×D11)⋊C4—21no—
624(C2×D11)⋊C4—21no—
625(C2×D11)⋊C4—21no—
626(C2×D11)⋊C4—21no—
627(C2×D11)⋊C4—21no—
628(C2×D11)⋊C4—21no—
629(C2×D11)⋊C4—21no—
630(C2×D11)⋊C4—21no—
631(C2×D11)⋊C4—21no—
632(C2×D11)⋊C4—21no—
633(C2×D11)⋊C4—21no—
634(C2×D11)⋊C4—21no—
635(C2×D11)⋊C4—21no—
636(C2×D11)⋊C4—21no—
637(C2×D11)⋊C4—21no—
638(C2×D11)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
645(C2×D11)⋊C4C2×D411yescharacteristic
646C4⋊Dic11—21no—
647C4⋊Dic11—21no—
648C4⋊Dic11—21no—
649C4⋊Dic11—21no—
650C4⋊Dic11C2×D411yescharacteristic
651C4⋊Dic11C2411yescharacteristic
652C4⋊Dic11C2411yescharacteristic
653Dic11⋊C4—21no—
654Dic11⋊C4—21no—
655Dic11⋊C4—21no—
656Dic11⋊C4—21no—
657Dic11⋊C4—21no—
658Dic11⋊C4—21no—
659Dic11⋊C4—21no—
660Dic11⋊C4—21no—
661Dic11⋊C4—21no—
662Dic11⋊C4—21no—
663Dic11⋊C4—21no—
664Dic11⋊C4—21no—
665Dic11⋊C4—21no—
666Dic11⋊C4—21no—
667Dic11⋊C4—21no—
668Dic11⋊C4C2×D411yescharacteristic
669Dic11⋊C4C2×D411yescharacteristic
670Dic11⋊C4C2×D411yescharacteristic
671Dic11⋊C4C2×D411yescharacteristic
672C4×Dic11—21no—
673C4×Dic11—21no—
674C4×Dic11—21no—
675C4×Dic11—21no—
676C4×Dic11—21no—
677C4×Dic11—21no—
678C4×Dic11—21no—
679C4×Dic11—21no—
680C4×Dic11—21no—
681C4×Dic11C2×D411yescharacteristic
682C4×Dic11C2×D411yescharacteristic
683C4×Dic11C2×D411yescharacteristic
684C4×Dic11C2×D411yescharacteristic
685C4×Dic11C2×D411yescharacteristic
686C4×Dic11C2×D411yescharacteristic
687C4×Dic11C2411yescharacteristic
688C4×Dic11C2411yescharacteristic
689C4×Dic11C2411yescharacteristic
690#4318—41no—
691#4318—41no—
692C2×C11⋊C8C2411yescharacteristic
693C2×C11⋊C8C2411yescharacteristic
694C2×C11⋊C8C2411yescharacteristic
695C2×C11⋊C8C2411yescharacteristic
696Dic44—22no—
697Dic44—41no—
698D88—41no—
699D88—41no—
700#4314—22no—
701#4314—22no—
702#4314—41no—
703#4314—41no—
704#4314—41no—
705#4313—41no—
706#4313—41no—
707#3514—111no—
708#3480—111no—
709#3396—111no—
710#3394—111no—
711#3365—111no—
712#3364—111no—
713#3328—111no—
714#3326—111no—
715#3326D1111yescharacteristic, complemented
716#3324—111no—
717#3322—111no—
718#3322—111no—
719#3278—111no—
720#3277—111no—
721#3277—111no—
722#3275—111no—
723#3275—111no—
724#3274—111no—
725#3256—111no—
726#3256—111no—
727#3251—111no—
728#3211—111no—
729#3211—111no—
730#3207—111no—
731#3108—111no—
732#3102—111no—
733#3102—111no—
734#3040—111no—
735#3040—111no—
736#3037—111no—
737#2991—111no—
738C23×C11—21no—
739C23×C11—21no—
740C23×C11C22×D411yescharacteristic
741C23×C11C22×D411yescharacteristic
742C22×D11—21no—
743C22×D11—21no—
744C22×D11—21no—
745C22×D11—42no—
746C22×D11—42no—
747C22×D11—81no—
748C22×D11—81no—
749C22×D11—81no—
750C22×D11—81no—
751C22×D11C22×D411yescharacteristic
752Q8×C11—21no—
753Q8×C11—21no—
754Q8×C11—21no—
755Q8×C11—21no—
756Q8×C11—81no—
757D4×C11—21no—
758D4×C11—21no—
759D4×C11—21no—
760D4×C11—21no—
761D4×C11—41no—
762D4×C11—42no—
763D4×C11—42no—
764D4×C11—81no—
765D4×C11—81no—
766C2×C4×C11—21no—
767C2×C4×C11—21no—
768C2×C4×C11—21no—
769C2×C4×C11—21no—
770C2×C4×C11—21no—
771C2×C4×C11—21no—
772C2×C4×C11—21no—
773C2×C4×C11—21no—
774C2×C4×C11—21no—
775C2×C4×C11—21no—
776C2×C4×C11—81no—
777C2×C4×C11—81no—
778C2×C4×C11—81no—
779C2×C4×C11—81no—
780C2×C4×C11C22×D411yescharacteristic
781C2×C4×C11C22×D411yescharacteristic
782C2×C4×C11C22×D411yescharacteristic
783C2×C4×C11C22×D411yescharacteristic
784C2×C4×C11C2511yescharacteristic
785C22⋊D11—22no—
786C22⋊D11—41no—
787C22⋊D11—42no—
788C22⋊D11—42no—
789C22⋊D11—42no—
790C22⋊D11—42no—
791C22⋊D11—42no—
792C22⋊D11—81no—
793C22⋊D11—81no—
794C22⋊D11—81no—
795C22⋊D11—81no—
796C22⋊D11—81no—
797C2×Dic11—21no—
798C2×Dic11—22no—
799C2×Dic11—21no—
800C2×Dic11—21no—
801C2×Dic11—21no—
802C2×Dic11—21no—
803C2×Dic11—41no—
804C2×Dic11—41no—
805C2×Dic11—41no—
806C2×Dic11—42no—
807C2×Dic11—42no—
808C2×Dic11—42no—
809C2×Dic11—81no—
810C2×Dic11C22×D411yescharacteristic
811C2×Dic11C22×D411yescharacteristic
812C2×Dic11C22×D411yescharacteristic
813C2×Dic11C22×D411yescharacteristic
814C2×Dic11C22×D411yescharacteristic
815C2×Dic11C22×D411yescharacteristic
816C2×Dic11C22×D411yescharacteristic
817D44—21no—
818D44—21no—
819D44—21no—
820D44—21no—
821D44—21no—
822D44—21no—
823D44—42no—
824D44—81no—
825D44—81no—
826C4×D11—21no—
827C4×D11—21no—
828C4×D11—41no—
829C4×D11—41no—
830C4×D11—42no—
831C4×D11—42no—
832C4×D11—42no—
833C4×D11—81no—
834C4×D11—81no—
835C4×D11—81no—
836C4×D11—81no—
837Dic22—21no—
838Dic22—22no—
839Dic22—21no—
840Dic22—21no—
841Dic22—21no—
842Dic22—21no—
843Dic22—42no—
844Dic22—42no—
845Dic22—81no—
846Dic22H(5,𝔽2)12yes—
847C8×C11—21no—
848C8×C11—21no—
849C8×C11—21no—
850C8×C11—21no—
851C11⋊C8—21no—
852C11⋊C8—21no—
853C11⋊C8—21no—
854C11⋊C8—21no—
855C2×#137—111no—
856C2×#137—111no—
857C2×#137—111no—
858C2×#137—111no—
859C2×AGL(1,ℤ/8)—111no—
860C2×AGL(1,ℤ/8)—111no—
861#559—111no—
862#559—111no—
863#559—221no—
864#557—111no—
865#556—111no—
866#556—111no—
867#556—221no—
868#555—221no—
869#553—111no—
870#553—221no—
871#553—221no—
872#553C2×D1111yescharacteristic, complemented
873#551—221no—
874#551—221no—
875#550—111no—
876D4×Q8—111no—
877#548—111no—
878#548—111no—
879#548—111no—
880#548C2×D1111yescharacteristic
881#546—111no—
882#546—111no—
883#546—221no—
884D42—111no—
885#542—221no—
886#538—221no—
887#538—221no—
888#532—111no—
889#532—111no—
890#532—221no—
891#529—111no—
892#529—111no—
893#529—111no—
894#529—111no—
895#529—111no—
896#529—221no—
897#529—221no—
898C2×#124—111no—
899C2×#124—111no—
900#518—221no—
901C4×#41—111no—
902C4×#41—111no—
903C4×#41—111no—
904C4×#41—221no—
905C2×C4×Q8—111no—
906#495—111no—
907#495—111no—
908#495—111no—
909#495—111no—
910#493—111no—
911#492—111no—
912#488—111no—
913#488—111no—
914#488—111no—
915#488C2×D1111yescharacteristic, complemented
916#487—111no—
917#486—111no—
918#485—111no—
919#485—111no—
920#483C2×D1111yescharacteristic, complemented
921#482—111no—
922#482C2×D1111yescharacteristic
923#480—111no—
924#479—111no—
925#479—111no—
926#479—111no—
927#479C2×D1111yescharacteristic, complemented
928#478—111no—
929#478—111no—
930#478—111no—
931#478—111no—
932#475—111no—
933#474—111no—
934#470—111no—
935#470—111no—
936#469—111no—
937#469—111no—
938#469—111no—
939#469C2×D1111yescharacteristic
940#468—111no—
941#468—111no—
942#468—111no—
943#468—111no—
944#468—111no—
945#468C2×D1111yescharacteristic, complemented
946#464—111no—
947#464—111no—
948#464—111no—
949#464—111no—
950#464—111no—
951#464—111no—
952#464—111no—
953#464—111no—
954#464—111no—
955#464—111no—
956#464—111no—
957#464—111no—
958#463—111no—
959#463—111no—
960#463—111no—
961#463—111no—
962#463—111no—
963#463—111no—
964#463—111no—
965#463—111no—
966#463—111no—
967#463—111no—
968#463—111no—
969#463C2×D1111yescharacteristic, complemented
970#462—111no—
971#462—111no—
972#460—111no—
973#460—111no—
974#460—111no—
975#459—111no—
976#452—111no—
977#452—111no—
978#451—111no—
979#451—111no—
980#451—111no—
981#450—111no—
982#450—111no—
983#449—111no—
984#449—111no—
985#449—111no—
986#449—111no—
987#449—111no—
988#449C2×D1111yescharacteristic, complemented
989#448—111no—
990#448—111no—
991#448C2×D1111yescharacteristic, complemented
992#447—111no—
993#447—111no—
994C8×Q8—111no—
995C8×Q8—111no—
996C4×Q16—111no—
997C4×Q16—111no—
998C4×Q16—111no—
999C4×Q16—111no—
1000C4×SD16—111no—
1001C4×SD16—111no—
1002C4×SD16—111no—
1003C4×SD16—111no—
1004C4×SD16—111no—
1005C4×SD16C2×D1111yescharacteristic, complemented
1006C4×D8—111no—
1007C4×D8—111no—
1008#436—111no—
1009#436—111no—
1010#436—111no—
1011#436—111no—
1012#436—111no—
1013#436C2×D1111yescharacteristic, complemented
1014#431—111no—
1015#431—111no—
1016#431—111no—
1017#423—111no—
1018#423—111no—
1019#423—111no—
1020#419—111no—
1021#419C2×D1111yescharacteristic, complemented
1022#418—111no—
1023#418—111no—
1024#417—111no—
1025#417C2×D1111yescharacteristic, complemented
1026C22×C11—21no—
1027C22×C11—21no—
1028C22×C11—21no—
1029C22×C11—21no—
1030C22×C11—21no—
1031C22×C11—21no—
1032C22×C11—41no—
1033C22×C11—41no—
1034C22×C11—41no—
1035C22×C11—41no—
1036C22×C11—41no—
1037C22×C11—41no—
1038C22×C11C23×D411yescharacteristic
1039C2×D11—21no—
1040C2×D11—21no—
1041C2×D11—21no—
1042C2×D11—41no—
1043C2×D11—41no—
1044C2×D11—41no—
1045C2×D11—41no—
1046C2×D11—41no—
1047C2×D11—41no—
1048C2×D11—41no—
1049C2×D11—41no—
1050C2×D11—41no—
1051C2×D11—162no—
1052C2×D11—162no—
1053C4×C11—21no—
1054C4×C11—21no—
1055C4×C11—21no—
1056C4×C11—21no—
1057C4×C11—41no—
1058C4×C11—41no—
1059C4×C11—41no—
1060C4×C11—41no—
1061C4×C11—41no—
1062C4×C11—41no—
1063C4×C11C2×H(5,𝔽2)11yescharacteristic
1064C4×C11#58511yescharacteristic
1065Dic11—21no—
1066Dic11—21no—
1067Dic11—21no—
1068Dic11—22no—
1069Dic11—21no—
1070Dic11—21no—
1071Dic11—21no—
1072Dic11—41no—
1073Dic11—41no—
1074Dic11—41no—
1075Dic11—41no—
1076Dic11#57512yes—
1077C2×#41—111no—
1078C2×#41—111no—
1079C2×#41—111no—
1080C2×#41—111no—
1081C2×#41—221no—
1082C2×#41C22×D1111yescharacteristic
1083C22×Q8—111no—
1084C22×Q8—111no—
1085C22×Q8C22×D1111yescharacteristic
1086C22×D4—111no—
1087C22×D4—111no—
1088C22×D4—221no—
1089#137—442no—
1090#137—442no—
1091#137—442no—
1092#137—442no—
1093AGL(1,ℤ/8)—442no—
1094AGL(1,ℤ/8)—442no—
1095C2×Q16—111no—
1096C2×Q16—111no—
1097C2×Q16—111no—
1098C2×Q16—111no—
1099C2×Q16—111no—
1100C2×Q16—111no—
1101C2×SD16—111no—
1102C2×SD16—111no—
1103C2×SD16—111no—
1104C2×SD16—111no—
1105C2×SD16—111no—
1106C2×SD16—111no—
1107C2×SD16—111no—
1108C2×SD16—111no—
1109C2×SD16—111no—
1110C2×SD16—111no—
1111C2×SD16C22×D1111yescharacteristic
1112C2×SD16C22×D1111yescharacteristic
1113C2×D8—111no—
1114C2×D8—111no—
1115C2×D8—111no—
1116C2×D8—111no—
1117C2×D8—111no—
1118C2×D8C22×D1111yescharacteristic
1119C2×M16—111no—
1120C2×M16—111no—
1121C2×M16—111no—
1122C2×M16—111no—
1123C2×M16C22×D1111yescharacteristic
1124C2×M16C22×D1111yescharacteristic
1125C4⋊Q8—111no—
1126C4⋊Q8—111no—
1127C4⋊Q8—221no—
1128C4⋊Q8—221no—
1129#127—111no—
1130#127—111no—
1131#127—221no—
1132#126—21no—
1133#126—221no—
1134#126—221no—
1135#126—221no—
1136#126—221no—
1137#126—221no—
1138#126—221no—
1139#126—221no—
1140#126—221no—
1141#126—221no—
1142#126—221no—
1143#125—111no—
1144#125—111no—
1145#125—221no—
1146#125—221no—
1147#125C22×D1111yescharacteristic
1148#124—21no—
1149#124—111no—
1150#124—111no—
1151#124—111no—
1152#124—111no—
1153#124—111no—
1154#124—111no—
1155#124—111no—
1156#124—111no—
1157#124—221no—
1158#124—221no—
1159#124—221no—
1160#124—221no—
1161#124—221no—
1162#124—221no—
1163#124—221no—
1164#124—221no—
1165#124—221no—
1166#124—221no—
1167#124—221no—
1168#124C22×D1111yescharacteristic
1169#123—21no—
1170#123—221no—
1171#123—221no—
1172#123—221no—
1173#123—221no—
1174#123—221no—
1175#123—221no—
1176#123—221no—
1177#123—221no—
1178#123—221no—
1179#123—221no—
1180#123—221no—
1181#123—221no—
1182C22⋊Q8—21no—
1183C22⋊Q8—111no—
1184C22⋊Q8—111no—
1185C22⋊Q8—111no—
1186C22⋊Q8—111no—
1187C22⋊Q8—221no—
1188C22⋊Q8—221no—
1189C22⋊Q8—221no—
1190C22⋊Q8—221no—
1191C22⋊Q8—221no—
1192C22⋊Q8—221no—
1193C22⋊Q8C22×D1111yescharacteristic
1194#121—21no—
1195#121—21no—
1196#121—111no—
1197#121—111no—
1198#121—111no—
1199#121—111no—
1200#121—221no—
1201#121—221no—
1202#121—221no—
1203#121—221no—
1204#121—221no—
1205#121—221no—
1206#121—221no—
1207#121—221no—
1208#121—221no—
1209#121—221no—
1210#121—221no—
1211#121—221no—
1212#121C22×D1111yescharacteristic
1213#121C22×D1111yescharacteristic
1214#121C22×D1111yescharacteristic
1215#120—221no—
1216#120—221no—
1217#120—221no—
1218#120—221no—
1219C4×Q8—111no—
1220C4×Q8—111no—
1221C4×Q8—111no—
1222C4×Q8—111no—
1223C4×Q8—111no—
1224C4×Q8—111no—
1225C4×Q8—111no—
1226C4×Q8—111no—
1227C4×Q8—111no—
1228C4×Q8—111no—
1229C4×Q8—221no—
1230C4×Q8—221no—
1231C4×Q8—221no—
1232C4×Q8—221no—
1233C4×Q8C22×D1111yescharacteristic
1234C4×D4—21no—
1235C4×D4—21no—
1236C4×D4—111no—
1237C4×D4—111no—
1238C4×D4—111no—
1239C4×D4—111no—
1240C4×D4—111no—
1241C4×D4—111no—
1242C4×D4—111no—
1243C4×D4—111no—
1244C4×D4—111no—
1245C4×D4—111no—
1246C4×D4—111no—
1247C4×D4—221no—
1248C4×D4—221no—
1249C4×D4—221no—
1250C4×D4—221no—
1251C4×D4—221no—
1252C4×D4—221no—
1253C4×D4—221no—
1254C4×D4—221no—
1255C4×D4—221no—
1256C4×D4—221no—
1257C4×D4—221no—
1258C4×D4—221no—
1259C4×D4—221no—
1260C4×D4—221no—
1261C4×D4—221no—
1262C4×D4—221no—
1263C4×D4—221no—
1264C4×D4—221no—
1265C4×D4—221no—
1266C4×D4—221no—
1267C4×D4C22×D1111yescharacteristic
1268C4×D4C22×D1111yescharacteristic
1269#117—111no—
1270#117—111no—
1271#117—111no—
1272#117—111no—
1273#117—221no—
1274#117—221no—
1275#117—221no—
1276#117—221no—
1277#117—221no—
1278#117—221no—
1279#117—221no—
1280#117—221no—
1281#117C22×D1111yescharacteristic
1282C2×C4⋊C4—221no—
1283C2×C4⋊C4C22×D1111yescharacteristic
1284C2×C22⋊C4—221no—
1285C2×C22⋊C4—221no—
1286C2×C22⋊C4—221no—
1287C2×C22⋊C4—221no—
1288C2×C22⋊C4—221no—
1289C2×C22⋊C4—221no—
1290C2×C42—111no—
1291C2×C42—111no—
1292C2×C42—111no—
1293C2×C42—221no—
1294C2×C42—221no—
1295C2×C42—221no—
1296#107—111no—
1297#107—111no—
1298#107—111no—
1299#107C22×D1111yescharacteristic
1300#106—111no—
1301#106—111no—
1302#106C22×D1111yescharacteristic
1303#106C22×D1111yescharacteristic
1304C4⋊C8—111no—
1305C4⋊C8—111no—
1306C4⋊C8—111no—
1307C4⋊C8—111no—
1308C4⋊C8—111no—
1309C4⋊C8—111no—
1310C4⋊C8—111no—
1311C4⋊C8—111no—
1312C4⋊C8—111no—
1313C4⋊C8C22×D1111yescharacteristic
1314#103—111no—
1315#103—111no—
1316#103—111no—
1317#103—111no—
1318#103—111no—
1319#103—111no—
1320#103—111no—
1321#103—111no—
1322#103—111no—
1323#103—111no—
1324#103C22×D1111yescharacteristic
1325#103C22×D1111yescharacteristic
1326#103C22×D1111yescharacteristic
1327#103C22×D1111yescharacteristic
1328#103C22×D1111yescharacteristic
1329#103C22×D1111yescharacteristic
1330#102—111no—
1331#102—111no—
1332#102—111no—
1333#102—111no—
1334#102—111no—
1335#102—111no—
1336#102—111no—
1337#102—111no—
1338#102—111no—
1339#102—111no—
1340#102—111no—
1341#102—111no—
1342#102C22×D1111yescharacteristic
1343#102C22×D1111yescharacteristic
1344#102C22×D1111yescharacteristic
1345#102C22×D1111yescharacteristic
1346C22⋊C8—111no—
1347C22⋊C8—111no—
1348C22⋊C8—111no—
1349C22⋊C8—111no—
1350C22⋊C8C22×D1111yescharacteristic
1351C22⋊C8C22×D1111yescharacteristic
1352C4×C8—111no—
1353C4×C8—111no—
1354C4×C8—111no—
1355C4×C8—111no—
1356C4×C8—111no—
1357C4×C8C22×D1111yescharacteristic
1358C2×C11—41no—
1359C2×C11—41no—
1360C2×C11—81no—
1361C2×C11—81no—
1362C2×C11#348811yescharacteristic
1363C2×C11C2×#57511yescharacteristic
1364C2×C11#358411yescharacteristic
1365D11—41no—
1366D11—81no—
1367D11—81no—
1368D11—81no—
1369C24—221no—
1370C24—221no—
1371#41—41no—
1372#41—41no—
1373#41—222no—
1374#41—222no—
1375#41—441no—
1376#41—441no—
1377#41—441no—
1378#41—441no—
1379#41—442no—
1380#41—444no—
1381C2×Q8—21no—
1382C2×Q8—41no—
1383C2×Q8—41no—
1384C2×Q8—111no—
1385C2×Q8—111no—
1386C2×Q8—111no—
1387C2×Q8—111no—
1388C2×Q8—221no—
1389C2×Q8—221no—
1390C2×Q8—222no—
1391C2×Q8—221no—
1392C2×Q8—441no—
1393C2×Q8—441no—
1394C2×Q8—441no—
1395C2×Q8C23×D1111yescharacteristic
1396C2×Q8C23×D1111yescharacteristic
1397C2×D4—21no—
1398C2×D4—21no—
1399C2×D4—21no—
1400C2×D4—21no—
1401C2×D4—111no—
1402C2×D4—111no—
1403C2×D4—111no—
1404C2×D4—111no—
1405C2×D4—111no—
1406C2×D4—221no—
1407C2×D4—221no—
1408C2×D4—221no—
1409C2×D4—221no—
1410C2×D4—221no—
1411C2×D4—221no—
1412C2×D4—221no—
1413C2×D4—221no—
1414C2×D4—221no—
1415C2×D4—221no—
1416C2×D4—221no—
1417C2×D4—221no—
1418C2×D4—221no—
1419C2×D4—441no—
1420C2×D4—441no—
1421C2×D4—441no—
1422C2×D4—441no—
1423C2×D4—444no—
1424C2×D4D4×D1111yescharacteristic
1425C2×D4C23×D1111yescharacteristic
1426C2×D4C23×D1111yescharacteristic
1427C22×C4—21no—
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—111no—
1432C22×C4—111no—
1433C22×C4—111no—
1434C22×C4—111no—
1435C22×C4—111no—
1436C22×C4—111no—
1437C22×C4—111no—
1438C22×C4—221no—
1439C22×C4—221no—
1440C22×C4—221no—
1441C22×C4—221no—
1442C22×C4—221no—
1443C22×C4—221no—
1444C22×C4—221no—
1445C22×C4—221no—
1446C22×C4—221no—
1447C22×C4—221no—
1448C22×C4—221no—
1449C22×C4C23×D1111yescharacteristic
1450C22×C4C23×D1111yescharacteristic
1451Q16—222no—
1452Q16—222no—
1453Q16—222no—
1454Q16—441no—
1455Q16—441no—
1456Q16—441no—
1457SD16—41no—
1458SD16—41no—
1459SD16—222no—
1460SD16—222no—
1461SD16—222no—
1462SD16—441no—
1463SD16—441no—
1464SD16—441no—
1465SD16—441no—
1466SD16—441no—
1467SD16—441no—
1468SD16—441no—
1469D8—41no—
1470D8—441no—
1471D8—441no—
1472D8—441no—
1473D8—441no—
1474D8—441no—
1475M16—41no—
1476M16—41no—
1477M16—441no—
1478M16—441no—
1479M16—441no—
1480M16—441no—
1481C2×C8—111no—
1482C2×C8—111no—
1483C2×C8—111no—
1484C2×C8—111no—
1485C2×C8C23×D1111yescharacteristic
1486C2×C8C23×D1111yescharacteristic
1487C2×C8C23×D1111yescharacteristic
1488C2×C8C23×D1111yescharacteristic
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—111no—
1495C4⋊C4—111no—
1496C4⋊C4—111no—
1497C4⋊C4—111no—
1498C4⋊C4—111no—
1499C4⋊C4—111no—
1500C4⋊C4—111no—
1501C4⋊C4—221no—
1502C4⋊C4—221no—
1503C4⋊C4—221no—
1504C4⋊C4—221no—
1505C4⋊C4—221no—
1506C4⋊C4—221no—
1507C4⋊C4—221no—
1508C4⋊C4—221no—
1509C4⋊C4—221no—
1510C4⋊C4—221no—
1511C4⋊C4—221no—
1512C4⋊C4—221no—
1513C4⋊C4—221no—
1514C4⋊C4—221no—
1515C4⋊C4—221no—
1516C4⋊C4—221no—
1517C4⋊C4—221no—
1518C4⋊C4—221no—
1519C4⋊C4—221no—
1520C4⋊C4D4×D1111yescharacteristic
1521C4⋊C4C23×D1111yescharacteristic
1522C4⋊C4C23×D1111yescharacteristic
1523C4⋊C4C23×D1111yescharacteristic
1524C4⋊C4C23×D1111yescharacteristic
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—111no—
1534C22⋊C4—111no—
1535C22⋊C4—111no—
1536C22⋊C4—111no—
1537C22⋊C4—221no—
1538C22⋊C4—221no—
1539C22⋊C4—221no—
1540C22⋊C4—221no—
1541C22⋊C4—221no—
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—221no—
1556C22⋊C4—221no—
1557C22⋊C4—221no—
1558C22⋊C4—221no—
1559C22⋊C4—221no—
1560C22⋊C4—221no—
1561C22⋊C4—221no—
1562C22⋊C4—221no—
1563C22⋊C4—221no—
1564C22⋊C4—221no—
1565C22⋊C4—221no—
1566C22⋊C4—221no—
1567C22⋊C4—221no—
1568C22⋊C4D4×D1111yescharacteristic
1569C22⋊C4D4×D1111yescharacteristic
1570C42—21no—
1571C42—21no—
1572C42—111no—
1573C42—111no—
1574C42—111no—
1575C42—111no—
1576C42—111no—
1577C42—111no—
1578C42—111no—
1579C42—111no—
1580C42—111no—
1581C42—221no—
1582C42—221no—
1583C42—221no—
1584C42—221no—
1585C42—221no—
1586C42—221no—
1587C42—221no—
1588C42—221no—
1589C42—221no—
1590C42C23×D1111yescharacteristic
1591C11#6200611yescharacteristic, complemented, Sylow
1592C23—21no—
1593C23—21no—
1594C23—111no—
1595C23—221no—
1596C23—221no—
1597C23—221no—
1598C23—442no—
1599C23—442no—
1600C23—881no—
1601C23—881no—
1602C23—881no—
1603C23—881no—
1604C23C2×D4×D1111yescharacteristic
1605C23C2×D4×D1111yescharacteristic
1606Q8—21no—
1607Q8—21no—
1608Q8—21no—
1609Q8—21no—
1610Q8—81no—
1611Q8—112no—
1612Q8—222no—
1613Q8—221no—
1614Q8—221no—
1615Q8—221no—
1616Q8—221no—
1617Q8—221no—
1618Q8—442no—
1619Q8—442no—
1620Q8—881no—
1621D4—21no—
1622D4—21no—
1623D4—21no—
1624D4—21no—
1625D4—41no—
1626D4—42no—
1627D4—42no—
1628D4—81no—
1629D4—81no—
1630D4—222no—
1631D4—221no—
1632D4—221no—
1633D4—221no—
1634D4—221no—
1635D4—221no—
1636D4—221no—
1637D4—442no—
1638D4—442no—
1639D4—442no—
1640D4—441no—
1641D4—442no—
1642D4—442no—
1643D4—442no—
1644D4—881no—
1645D4—881no—
1646D4—881no—
1647D4—881no—
1648D4—881no—
1649D4—881no—
1650D4—881no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—81no—
1662C2×C4—81no—
1663C2×C4—81no—
1664C2×C4—81no—
1665C2×C4—111no—
1666C2×C4—111no—
1667C2×C4—111no—
1668C2×C4—111no—
1669C2×C4—111no—
1670C2×C4—111no—
1671C2×C4—111no—
1672C2×C4—222no—
1673C2×C4—221no—
1674C2×C4—221no—
1675C2×C4—221no—
1676C2×C4—221no—
1677C2×C4—221no—
1678C2×C4—221no—
1679C2×C4—221no—
1680C2×C4—441no—
1681C2×C4—441no—
1682C2×C4—442no—
1683C2×C4—442no—
1684C2×C4—442no—
1685C2×C4—441no—
1686C2×C4—441no—
1687C2×C4—441no—
1688C2×C4—442no—
1689C2×C4—442no—
1690C2×C4—442no—
1691C2×C4—881no—
1692C2×C4—881no—
1693C2×C4—881no—
1694C2×C4—881no—
1695C2×C4—881no—
1696C2×C4C2×D4×D1111yescharacteristic
1697C2×C4C2×D4×D1111yescharacteristic
1698C2×C4C2×D4×D1111yescharacteristic
1699C2×C4C2×D4×D1111yescharacteristic
1700C2×C4C24×D1111yescharacteristic
1701C8—21no—
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—221no—
1706C8—221no—
1707C8—221no—
1708C8—221no—
1709C22—21no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—21no—
1714C22—21no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—221no—
1722C22—221no—
1723C22—221no—
1724C22—441no—
1725C22—441no—
1726C22—441no—
1727C22—441no—
1728C22—441no—
1729C22—441no—
1730C22—441no—
1731C22—441no—
1732C22—441no—
1733C22—1762no—
1734C22—1762no—
1735C22C22×D4×D1111yescharacteristic
1736C4—21no—
1737C4—21no—
1738C4—21no—
1739C4—21no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—112no—
1747C4—221no—
1748C4—222no—
1749C4—221no—
1750C4—221no—
1751C4—221no—
1752C4—221no—
1753C4—221no—
1754C4—441no—
1755C4—441no—
1756C4—441no—
1757C4—441no—
1758C4#1062345311yescharacteristic
1759C4D11×H(5,𝔽2)11yescharacteristic
1760C2—41no—
1761C2—41no—
1762C2—81no—
1763C2—81no—
1764C2—441no—
1765C2—881no—
1766C2—881no—
1767C2—881no—
1768C2#1308227911yescharacteristic
1769C2D11×#57511yescharacteristic
1770C2#1308338811yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3326C2
socleC22×C11C23×D4
hypercenter#3326D11
hypocenterC11#62006
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3326

Complements

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

NH ≅ G/Ntype
1. #13082570C2semidirect
2. #13082210C2semidirect
3. #13081623C2semidirect
4. #13081613C2semidirect
5. #13081309C2semidirect
6. #13081304C2semidirect
7. #13080895C2semidirect
8. #13080872C2semidirect
9. #13080845C2semidirect
10. #13080818C2semidirect
11. #13080811C2semidirect
12. #13080280C2semidirect
13. #13080270C2semidirect
14. #13080269C2semidirect
15. #13080252C2semidirect
16. #13080245C2semidirect
17. #13080233C2semidirect
18. #13080019C2semidirect
19. #13080011C2semidirect
20. #13079973C2semidirect
21. #13079582C2semidirect
22. #13079580C2semidirect
23. #13079547C2semidirect
24. #13078699C2semidirect
25. #13078638C2semidirect
26. #13078629C2semidirect
27. #13078113C2semidirect
28. #13078105C2semidirect
29. #13078087C2semidirect
30. #13077744C2semidirect
31. C11×#3326C2semidirect
32. C11×#553C22semidirect
36. C2×#67004C22semidirect
39. C2×#66995C22semidirect
40. C2×#66968C22semidirect
42. C2×#66962C22semidirect
46. #10623222C22semidirect
47. #10623216C22semidirect
63. #10623131C22semidirect
65. #10623129C22semidirect
67. #10623127C22semidirect
70. #10623090C22semidirect
72. #10623083C22semidirect
78. C4×#4341C22semidirect
80. #10623053C22semidirect
81. #10623045C22semidirect
82. C2×#66940C22semidirect
83. C11×#488C22semidirect
84. C11×#483C22semidirect
86. C11×#479C22semidirect
88. C11×#468C22semidirect
89. C11×#463C22semidirect
90. C11×#449C22semidirect
91. C11×#448C22semidirect
92. C4×C11×SD16C22semidirect
93. C11×#436C22semidirect
94. C11×#419C22semidirect
95. C11×#417C22semidirect
96. #10622851C22semidirect
97. #10622841C22semidirect
98. #10622788C22semidirect
99. #10622786C22semidirect
101. #10622781C22semidirect
103. #10622778C22semidirect
104. #10622776C22semidirect
105. #10622766C22semidirect
106. #10622766C22semidirect
108. #10622750C22semidirect
111. #10622741C22semidirect
112. #10622731C22semidirect
113. #10622731C22semidirect
115. #10622679C22semidirect
116. #10622672C22semidirect
117. #10622667C22semidirect
118. #10622663C22semidirect
119. #10622662C22semidirect
121. #10622655C22semidirect
124. #10622650C22semidirect
126. C4×#4326C22semidirect
127. #10622641C22semidirect
129. C4×#4323C22semidirect
130. #10622625C22semidirect
132. #10622609C22semidirect
134. #10622579C22semidirect
135. #10622504C22semidirect
138. #10622486C22semidirect
141. #10622470C22semidirect
142. #10622470C22semidirect
143. #10622470C22semidirect
146. #10622465C22semidirect
148. #10622457C22semidirect
149. #10622450C22semidirect
150. #10622443C22semidirect
153. #10622432C22semidirect
154. #10622432C22semidirect
155. #10622429C22semidirect
156. #10622428C22semidirect
157. #10622425C22semidirect
158. #10622421C22semidirect
159. #10622419C22semidirect
160. #10622415C22semidirect
162. #10622413C22semidirect
166. #10622411C22semidirect
167. #10622411C22semidirect
168. #10622411C22semidirect
169. #10622406C22semidirect
170. #10622406C22semidirect
171. #10622405C22semidirect
172. #10622404C22semidirect
173. #10622403C22semidirect
174. #10622403C22semidirect
175. #10622400C22semidirect
181. #10622380C22semidirect
182. #10622380C22semidirect
183. #10622380C22semidirect
184. #10622376C22semidirect
185. #10622376C22semidirect
189. #10622371C22semidirect
190. #10622369C22semidirect
192. #10622347C22semidirect
193. #10622346C22semidirect
196. #10622342C22semidirect
197. #10622331C22semidirect
198. #10622331C22semidirect
200. C4×#4314C22semidirect
201. #10622298C22semidirect
202. C8×Dic22C22semidirect
715. #3326D11semidirect
872. #553C2×D11semidirect
915. #488C2×D11semidirect
920. #483C2×D11semidirect
927. #479C2×D11semidirect
945. #468C2×D11semidirect
969. #463C2×D11semidirect
988. #449C2×D11semidirect
991. #448C2×D11semidirect
1005. C4×SD16C2×D11semidirect
1013. #436C2×D11semidirect
1021. #419C2×D11semidirect
1025. #417C2×D11semidirect
1591. C11#62006semidirect

Maximal subgroups

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

subgroupindex
#130825702
#130822102
#130816232
#130816132
#130813092
#130813042
#130808952
#130808722
#130808452
#130808182
#130808112
#130802802
#130802702
#130802692
#130802522
#130802452
#130802332
#130800192
#130800112
#130799732
#130795822
#130795802
#130795472
#130786992
#130786382
#130786292
#130781132
#130781052
#130780872
#130777442
C11×#33262
#6200611