Finite Group Databasebeta

← #15649263

Subgroups — #15649263

Order 2816.

1840 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13083134C211yesmaximal, characteristic, complemented
2#13082629C211yesmaximal, characteristic, complemented
3#13081688C211yesmaximal, characteristic, complemented
4#13081677C211yesmaximal, characteristic, complemented
5#13081435C211yesmaximal, characteristic, complemented
6#13081427C211yesmaximal, characteristic, complemented
7#13080846C211yesmaximal, characteristic, complemented
8#13080840C211yesmaximal, characteristic, complemented
9#13080776C211yesmaximal, characteristic, complemented
10#13080765C211yesmaximal, characteristic, complemented
11#13080686C211yesmaximal, characteristic, complemented
12#13080681C211yesmaximal, characteristic, complemented
13#13080271C211yesmaximal, characteristic, complemented
14#13080266C211yesmaximal, characteristic, complemented
15#13080130C211yesmaximal, characteristic, complemented
16#13080124C211yesmaximal, characteristic, complemented
17#13080115C211yesmaximal, characteristic, complemented
18#13080110C211yesmaximal, characteristic, complemented
19#13080074C211yesmaximal, characteristic, complemented
20#13080072C211yesmaximal, characteristic, complemented
21#13080001C211yesmaximal, characteristic, complemented
22#13079707C211yesmaximal, characteristic, complemented
23#13079617C211yesmaximal, characteristic, complemented
24#13078847C211yesmaximal, characteristic, complemented
25#13078842C211yesmaximal, characteristic, complemented
26#13078764C211yesmaximal, characteristic, complemented
27#13078133C211yesmaximal, characteristic, complemented
28#13078132C211yesmaximal, characteristic, complemented
29#13078105C211yesmaximal, characteristic, complemented
30#13077781C211yesmaximal, characteristic, complemented
31C11×#3224C211yesmaximal, characteristic, complemented
32C11×#542C2211yescharacteristic, complemented
33C11×#535C2211yescharacteristic
34#10623362C2211yescharacteristic
35#10623360C2211yescharacteristic
36C2×#67004C2211yescharacteristic, complemented
37#10623337C2211yescharacteristic
38D4×C22⋊D11C2211yescharacteristic
39C22×#4324C2211yescharacteristic, complemented
40C2×#66968C2211yescharacteristic, complemented
41C2×#66968C2211yescharacteristic, complemented
42C2×SD16×D11C2211yescharacteristic, complemented
43C2×#66964C2211yescharacteristic
44#10623263C2211yescharacteristic, complemented
45#10623253C2211yescharacteristic, complemented
46#10623248C2211yescharacteristic
47#10623247C2211yescharacteristic
48#10623246C2211yescharacteristic
49#10623244C2211yescharacteristic
50#10623233—21no—
51#10623233—21no—
52#10623213C2211yescharacteristic
53#10623212C2211yescharacteristic
54#10623208C2211yescharacteristic
55#10623208C2211yescharacteristic, complemented
56D11×#124C2211yescharacteristic
57#10623202—21no—
58#10623202C2211yescharacteristic, complemented
59#10623201—21no—
60#10623193—21no—
61#10623180—21no—
62#10623172C2211yescharacteristic, complemented
63#10623171—21no—
64#10623163C2211yescharacteristic, complemented
65#10623153—21no—
66#10623152—21no—
67#10623148—21no—
68#10623147C2211yescharacteristic, complemented
69#10623144—21no—
70#10623141—21no—
71#10623129C2211yescharacteristic, complemented
72#10623125—21no—
73#10623124—21no—
74#10623122—21no—
75#10623120—21no—
76#10623109C2211yescharacteristic, complemented
77#10623103C2211yescharacteristic, complemented
78#10623092C2211yescharacteristic, complemented
79C4×#4341C2211yescharacteristic, complemented
80#10623065C2211yescharacteristic
81#10623059C2211yescharacteristic
82#10623047C2211yescharacteristic, complemented
83C11×#496C2211yescharacteristic
84C11×#495C2211yescharacteristic, complemented
85C11×#489C2211yescharacteristic, complemented
86C11×#486C2211yescharacteristic
87C11×#464C2211yescharacteristic, complemented
88C11×#463C2211yescharacteristic, complemented
89C11×#460C2211yescharacteristic, complemented
90C11×#459C2211yescharacteristic, complemented
91C11×#452C2211yescharacteristic, complemented
92C11×#450C2211yescharacteristic, complemented
93C11×#449C2211yescharacteristic, complemented
94C11×#447C2211yescharacteristic, complemented
95C11×#433C2211yescharacteristic, complemented
96#10622846C2211yescharacteristic, complemented
97#10622828C2211yescharacteristic, complemented
98#10622803C2211yescharacteristic, complemented
99#10622799C2211yescharacteristic, complemented
100#10622799C2211yescharacteristic, complemented
101#10622797C2211yescharacteristic, complemented
102#10622787C2211yescharacteristic, complemented
103#10622787C2211yescharacteristic, complemented
104#10622787C2211yescharacteristic, complemented
105#10622783C2211yescharacteristic
106#10622782C2211yescharacteristic
107#10622780C2211yescharacteristic, complemented
108#10622779C2211yescharacteristic, complemented
109#10622779C2211yescharacteristic, complemented
110#10622778C2211yescharacteristic, complemented
111#10622776C2211yescharacteristic
112#10622775C2211yescharacteristic, complemented
113#10622775C2211yescharacteristic, complemented
114SD16×Dic11C2211yescharacteristic, complemented
115#10622771C2211yescharacteristic, complemented
116#10622771C2211yescharacteristic, complemented
117#10622771C2211yescharacteristic, complemented
118#10622770C2211yescharacteristic
119#10622769C2211yescharacteristic, complemented
120#10622768C2211yescharacteristic, complemented
121#10622767C2211yescharacteristic
122#10622766C2211yescharacteristic, complemented
123#10622766C2211yescharacteristic, complemented
124#10622765C2211yescharacteristic, complemented
125#10622765C2211yescharacteristic, complemented
126#10622704C2211yescharacteristic, complemented
127#10622700C2211yescharacteristic, complemented
128#10622688C2211yescharacteristic
129#10622688C2211yescharacteristic
130#10622688C2211yescharacteristic, complemented
131#10622688C2211yescharacteristic, complemented
132#10622670C2211yescharacteristic, complemented
133#10622667C2211yescharacteristic, complemented
134#10622667C2211yescharacteristic, complemented
135#10622667C2211yescharacteristic, complemented
136#10622667C2211yescharacteristic, complemented
137#10622667C2211yescharacteristic, complemented
138#10622664C2211yescharacteristic, complemented
139#10622662C2211yescharacteristic
140#10622655C2211yescharacteristic, complemented
141#10622651C2211yescharacteristic
142#10622641C2211yescharacteristic, complemented
143#10622634C2211yescharacteristic, complemented
144#10622629C2211yescharacteristic, complemented
145#10622620C2211yescharacteristic, complemented
146#10622612C2211yescharacteristic, complemented
147#10622464C2211yescharacteristic, complemented
148#10622463C2211yescharacteristic, complemented
149#10622458C2211yescharacteristic, complemented
150#10622458C2211yescharacteristic, complemented
151#10622453C2211yescharacteristic, complemented
152#10622452C2211yescharacteristic, complemented
153#10622450C2211yescharacteristic, complemented
154#10622448C2211yescharacteristic, complemented
155#10622428C2211yescharacteristic, complemented
156#10622426C2211yescharacteristic, complemented
157#10622421C2211yescharacteristic, complemented
158#10622415C2211yescharacteristic, complemented
159#10622411C2211yescharacteristic, complemented
160#10622408C2211yescharacteristic, complemented
161#10622407C2211yescharacteristic, complemented
162#10622403C2211yescharacteristic, complemented
163#10622396C2211yescharacteristic, complemented
164#10622393C2211yescharacteristic
165#10622393C2211yescharacteristic, complemented
166#10622393C2211yescharacteristic, complemented
167#10622392C2211yescharacteristic
168#10622392C2211yescharacteristic, complemented
169#10622392C2211yescharacteristic, complemented
170#10622389C2211yescharacteristic
171#10622389C2211yescharacteristic, complemented
172#10622385C2211yescharacteristic, complemented
173#10622383C2211yescharacteristic
174#10622383C2211yescharacteristic, complemented
175#10622380C2211yescharacteristic, complemented
176#10622380C2211yescharacteristic, complemented
177#10622378C2211yescharacteristic, complemented
178#10622378C2211yescharacteristic, complemented
179#10622375C2211yescharacteristic
180#10622373C2211yescharacteristic
181#10622372C2211yescharacteristic, complemented
182#10622372C2211yescharacteristic, complemented
183#10622372C2211yescharacteristic, complemented
184#10622370C2211yescharacteristic, complemented
185#10622370C2211yescharacteristic, complemented
186#10622370C2211yescharacteristic, complemented
187#10622352C2211yescharacteristic, complemented
188#10622351C2211yescharacteristic
189#10622350C2211yescharacteristic
190#10622343C2211yescharacteristic, complemented
191#10622343C2211yescharacteristic, complemented
192#10622342C2211yescharacteristic, complemented
193#10622341C2211yescharacteristic, complemented
194#10622336C2211yescharacteristic, complemented
195#10622329C2211yescharacteristic, complemented
196#10622323C2211yescharacteristic, complemented
197#10622319C2211yescharacteristic, complemented
198#10622314C2211yescharacteristic, complemented
199C4×Dic44C2211yescharacteristic, complemented
200C4×#4314C2211yescharacteristic, complemented
201#10622301C2211yescharacteristic, complemented
202#10622292C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C22×D4×C11C2311yescharacteristic
205C22×C22⋊D11—21no—
206C2×Q8×D11C2311yescharacteristic
207C2×Q8×D11C2311yescharacteristic
208C2×#4341—21no—
209C2×#4341C2311yescharacteristic
210C2×#4341C2311yescharacteristic
211C2×D4×D11—21no—
212C2×D4×D11C2311yescharacteristic
213C2×D4×D11C2311yescharacteristic
214C22×Dic22C2311yescharacteristic
215C2×C11×Q16C2311yescharacteristic
216C2×C11×SD16C2311yescharacteristic
217C2×C11×SD16C2311yescharacteristic
218C2×C11×SD16C2311yescharacteristic
219C2×C11×SD16C2311yescharacteristic
220C2×C11×D8C2311yescharacteristic
221C2×C11×D8C2311yescharacteristic
222C2×C11×D8C2311yescharacteristic
223C11×C4⋊Q8C2311yescharacteristic
224C11×#127C2311yescharacteristic
225C11×#127C2311yescharacteristic
226C11×#126—21no—
227C11×#124—21no—
228C11×#124C2311yescharacteristic
229C11×#124C2311yescharacteristic
230C11×#124C2311yescharacteristic
231C11×#123—21no—
232C11×C22⋊Q8—21no—
233C11×C22⋊Q8C2311yescharacteristic
234C11×#121—21no—
235C11×#121—21no—
236C11×#121C2311yescharacteristic
237C11×#120—21no—
238C11×#120—21no—
239C4×Q8×C11C2311yescharacteristic
240C4×D4×C11C2311yescharacteristic
241C11×#117C2311yescharacteristic
242#67006—21no—
243#67006—21no—
244C2×C22⋊Dic11—21no—
245#67004—42no—
246#67000—21no—
247#67000C2311yescharacteristic
248#66999C2311yescharacteristic
249#66999C2311yescharacteristic
250Q8×Dic11—21no—
251Q8×Dic11C2311yescharacteristic
252Q8×Dic11C2311yescharacteristic
253#66997—21no—
254#66997—21no—
255#66997C2311yescharacteristic
256C2×#4326C2311yescharacteristic
257C2×#4326C2311yescharacteristic
258C2×#4326C2311yescharacteristic
259C2×#4325C2311yescharacteristic
260#66993C2311yescharacteristic
261#66992—21no—
262#66992—21no—
263#66992—21no—
264#66992—21no—
265#66992—21no—
266#66992—21no—
267#66992—21no—
268#66991—21no—
269#66991—21no—
270#66991—21no—
271#66991C2311yescharacteristic
272#66991C2311yescharacteristic
273#66991C2311yescharacteristic
274#66991C2311yescharacteristic
275#66990—21no—
276#66990—21no—
277#66990—21no—
278#66990—21no—
279#66990—21no—
280#66990—21no—
281#66989—21no—
282#66989—21no—
283#66989—21no—
284#66989—21no—
285#66989C2311yescharacteristic
286#66989C2311yescharacteristic
287#66989C2311yescharacteristic
288#66988—21no—
289#66988—21no—
290#66988—21no—
291D4×Dic11—21no—
292D4×Dic11—21no—
293D4×Dic11—21no—
294D4×Dic11C2311yescharacteristic
295D4×Dic11C2311yescharacteristic
296D4×Dic11C2311yescharacteristic
297D4×Dic11C2311yescharacteristic
298C2×#4324—42no—
299C2×#4324C2311yescharacteristic
300C2×#4324C2311yescharacteristic
301C2×#4324C2311yescharacteristic
302C2×#4324C2311yescharacteristic
303C2×#4324C2311yescharacteristic
304C2×#4324C2311yescharacteristic
305C2×#4324C2311yescharacteristic
306C2×#4323C2311yescharacteristic
307#66983C2311yescharacteristic
308#66982—21no—
309#66982—21no—
310C4×C22⋊D11—21no—
311C4×C22⋊D11—21no—
312C4×C22⋊D11C2311yescharacteristic
313C4×C22⋊D11C2311yescharacteristic
314C2×(C2×D11)⋊C4—21no—
315#66979C2311yescharacteristic
316#66977—21no—
317#66977—21no—
318#66977C2311yescharacteristic
319C2×C4×Dic11—21no—
320C2×#4318C2311yescharacteristic
321C22×C11⋊C8C2311yescharacteristic
322#66968—42no—
323#66968—42no—
324SD16×D11—42no—
325#66964—42no—
326C2×Dic44C2311yescharacteristic
327C2×Dic44C2311yescharacteristic
328C2×#4314C2311yescharacteristic
329C2×#4314C2311yescharacteristic
330C2×#4313C2311yescharacteristic
331C2×#4313C2311yescharacteristic
332C2×#4313C2311yescharacteristic
333C2×C8×D11C2311yescharacteristic
334#66951—21no—
335#66951—21no—
336#66951—21no—
337#66951—21no—
338#66951D411yescharacteristic
339#66950C2311yescharacteristic
340#66950C2311yescharacteristic
341#66949—21no—
342#66949—21no—
343#66949—21no—
344#66949D411yescharacteristic
345#66947D411yescharacteristic
346#66945—21no—
347#66945C2311yescharacteristic
348#66945C2311yescharacteristic
349#66942—21no—
350#66942D411yescharacteristic
351#66941—21no—
352#66941—21no—
353#66941C2311yescharacteristic
354#66941C2311yescharacteristic
355#66940—21no—
356#66940—21no—
357#66940—21no—
358#66940—21no—
359#66940—21no—
360#66940C2311yescharacteristic
361#66940C2311yescharacteristic
362#66939—21no—
363#66939—21no—
364#66938—21no—
365#66938—21no—
366#66938—21no—
367#66938—21no—
368#66938—21no—
369#66938—21no—
370#66938—21no—
371#66938—21no—
372#66938—21no—
373#66938—21no—
374#66938—21no—
375#66938D411yescharacteristic
376#66937—21no—
377#66937—21no—
378#66937D411yescharacteristic
379#66936—21no—
380#66936—21no—
381#66936D411yescharacteristic
382(C22⋊D11)⋊C4—21no—
383(C22⋊D11)⋊C4—21no—
384(C22⋊D11)⋊C4—21no—
385(C22⋊D11)⋊C4—21no—
386(C22⋊D11)⋊C4—21no—
387C22⋊C4×D11—21no—
388C22⋊C4×D11—21no—
389#66932—21no—
390#66932—21no—
391#66932—21no—
392#66932—21no—
393#66932—21no—
394#66932D411yescharacteristic
395#66931—21no—
396#66931—21no—
397#66931—21no—
398#66931—21no—
399#66931—21no—
400#66931—21no—
401#66930—21no—
402#66930—21no—
403#66930—21no—
404#66930—21no—
405#66930—21no—
406#66928C2311yescharacteristic
407C4×D44C2311yescharacteristic
408C4×D44C2311yescharacteristic
409#66925—21no—
410#66925—21no—
411#66925C2311yescharacteristic
412C42×D11C2311yescharacteristic
413#66922C2311yescharacteristic
414C4×Dic22—21no—
415C4×Dic22—21no—
416C4×Dic22C2311yescharacteristic
417C4×Dic22C2311yescharacteristic
418C4×Dic22C2311yescharacteristic
419C4×Dic22C2311yescharacteristic
420C4×Dic22C2311yescharacteristic
421C4×Dic22C2311yescharacteristic
422C11×C4⋊C8C2311yescharacteristic
423C11×C4⋊C8C2311yescharacteristic
424C11×#103C2311yescharacteristic
425C11×#103C2311yescharacteristic
426C11×#102C2311yescharacteristic
427C11×#102C2311yescharacteristic
428C11×#102C2311yescharacteristic
429C11×#102C2311yescharacteristic
430C11×#102C2311yescharacteristic
431C11×#102C2311yescharacteristic
432C11×C22⋊C8C2311yescharacteristic
433C11×C22⋊C8C2311yescharacteristic
434C11×#97C2311yescharacteristic
435C4×C8×C11C2311yescharacteristic
436#66899C2311yescharacteristic
437#66899C2311yescharacteristic
438#66899C2311yescharacteristic
439#66899C2311yescharacteristic
440#66896C2311yescharacteristic
441#66896C2311yescharacteristic
442#66896C2311yescharacteristic
443#66896C2311yescharacteristic
444#66896C2311yescharacteristic
445#66896C2311yescharacteristic
446#66896C2311yescharacteristic
447#66896C2311yescharacteristic
448#66885C2311yescharacteristic
449#66885C2311yescharacteristic
450(C2×D11)⋊C8C2311yescharacteristic
451(C2×D11)⋊C8C2311yescharacteristic
452(C2×D11)⋊C8C2311yescharacteristic
453(C2×D11)⋊C8C2311yescharacteristic
454#66882C2311yescharacteristic
455#66882C2311yescharacteristic
456#66881C2311yescharacteristic
457#66881C2311yescharacteristic
458#66880C2311yescharacteristic
459#66880C2311yescharacteristic
460#66880C2311yescharacteristic
461#66880C2311yescharacteristic
462#66880C2311yescharacteristic
463#66880C2311yescharacteristic
464#66879C2311yescharacteristic
465#66879C2311yescharacteristic
466#66879C2311yescharacteristic
467Dic11⋊C8C2311yescharacteristic
468Dic11⋊C8C2311yescharacteristic
469Dic11⋊C8C2311yescharacteristic
470Dic11⋊C8C2311yescharacteristic
471C8×Dic11C2311yescharacteristic
472#66874C2311yescharacteristic
473#66874C2311yescharacteristic
474#66873C2311yescharacteristic
475#66873C2311yescharacteristic
476#66871C2311yescharacteristic
477#66871C2311yescharacteristic
478#66871C2311yescharacteristic
479#66871C2311yescharacteristic
480C4⋊(C11⋊C8)C2311yescharacteristic
481C4⋊(C11⋊C8)C2311yescharacteristic
482C4⋊(C11⋊C8)C2311yescharacteristic
483C4⋊(C11⋊C8)C2311yescharacteristic
484#62092—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—21no—
497C2×D4×C11—21no—
498C2×D4×C11—21no—
499C2×D4×C11—21no—
500C2×D4×C11—41no—
501C2×D4×C11—41no—
502C2×D4×C11C2411yescharacteristic
503C2×D4×C11C2411yescharacteristic
504C2×D4×C11C2411yescharacteristic
505C2×D4×C11C2411yescharacteristic
506C22×C4×C11—21no—
507C22×C4×C11—21no—
508C22×C4×C11C2411yescharacteristic
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—82no—
521C2×C22⋊D11C2×D411yescharacteristic
522C2×C22⋊D11C2×D411yescharacteristic
523C22×Dic11—21no—
524C22×Dic11—21no—
525C22×Dic11—21no—
526C22×Dic11—21no—
527C22×Dic11—21no—
528C22×Dic11—21no—
529C22×Dic11—21no—
530Q8×D11—22no—
531Q8×D11—41no—
532Q8×D11—41no—
533Q8×D11—41no—
534#4341—22no—
535#4341—41no—
536#4341—41no—
537#4341—41no—
538#4341—82no—
539D4×D11—41no—
540D4×D11—41no—
541D4×D11—41no—
542D4×D11—41no—
543D4×D11—82no—
544C2×D44C2×D411yescharacteristic
545C2×D44C2411yescharacteristic
546C2×C4×D11—21no—
547C2×C4×D11—21no—
548C2×C4×D11—21no—
549C2×C4×D11C2×D411yescharacteristic
550C2×C4×D11C2×D411yescharacteristic
551C2×C4×D11C2411yescharacteristic
552C2×C4×D11C2411yescharacteristic
553C2×Dic22—22no—
554C2×Dic22—21no—
555C2×Dic22—21no—
556C2×Dic22—21no—
557C2×Dic22—21no—
558C2×Dic22—21no—
559C2×Dic22—21no—
560C2×Dic22—41no—
561C2×Dic22C2×D411yescharacteristic
562C2×Dic22C2411yescharacteristic
563C2×Dic22C2411yescharacteristic
564C2×Dic22C2411yescharacteristic
565C11×Q16—41no—
566C11×SD16—41no—
567C11×SD16—41no—
568C11×SD16—41no—
569C11×SD16—41no—
570C11×D8—41no—
571C11×D8—41no—
572C11×D8—41no—
573C2×C8×C11C2411yescharacteristic
574C2×C8×C11C2411yescharacteristic
575C2×C8×C11C2411yescharacteristic
576C2×C8×C11C2411yescharacteristic
577C11×C4⋊C4—21no—
578C11×C4⋊C4—21no—
579C11×C4⋊C4—21no—
580C11×C4⋊C4C2×D411yescharacteristic
581C11×C4⋊C4C2×D411yescharacteristic
582C11×C4⋊C4C2411yescharacteristic
583C11×C4⋊C4C2411yescharacteristic
584C11×C22⋊C4—21no—
585C11×C22⋊C4—21no—
586C11×C22⋊C4—21no—
587C11×C22⋊C4—21no—
588C11×C22⋊C4—21no—
589C11×C22⋊C4—21no—
590C11×C22⋊C4—21no—
591C11×C22⋊C4—21no—
592C11×C22⋊C4—21no—
593C11×C22⋊C4C2×D411yescharacteristic
594C11×C22⋊C4C2×D411yescharacteristic
595C42×C11—21no—
596C42×C11C2411yescharacteristic
597C42×C11C2411yescharacteristic
598C22⋊Dic11—21no—
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⋊Dic11—21no—
608C22⋊Dic11—21no—
609C22⋊Dic11—21no—
610C22⋊Dic11—21no—
611C22⋊Dic11—21no—
612C22⋊Dic11—21no—
613C22⋊Dic11—21no—
614C22⋊Dic11C2×D411yescharacteristic
615C22⋊Dic11C2×D411yescharacteristic
616#4326—22no—
617#4326—41no—
618#4326—41no—
619#4325—41no—
620#4324—22no—
621#4324—22no—
622#4324—22no—
623#4324—41no—
624#4324—41no—
625#4324—41no—
626#4324—41no—
627#4323—41no—
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)⋊C4C2×D411yescharacteristic
641(C2×D11)⋊C4C2×D411yescharacteristic
642(C2×D11)⋊C4C2×D411yescharacteristic
643(C2×D11)⋊C4C2×D411yescharacteristic
644(C2×D11)⋊C4C2×D411yescharacteristic
645(C2×D11)⋊C4C2×D411yescharacteristic
646C4⋊Dic11—21no—
647C4⋊Dic11—21no—
648C4⋊Dic11—21no—
649C4⋊Dic11—21no—
650C4⋊Dic11—21no—
651C4⋊Dic11C2×D411yescharacteristic
652C4⋊Dic11C2×D411yescharacteristic
653C4⋊Dic11C2411yescharacteristic
654C4⋊Dic11C2411yescharacteristic
655C4⋊Dic11C2411yescharacteristic
656C4⋊Dic11C2411yescharacteristic
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⋊C4—21no—
669Dic11⋊C4—21no—
670Dic11⋊C4—21no—
671Dic11⋊C4C2×D411yescharacteristic
672Dic11⋊C4C2×D411yescharacteristic
673Dic11⋊C4C2×D411yescharacteristic
674Dic11⋊C4C2×D411yescharacteristic
675Dic11⋊C4C2×D411yescharacteristic
676Dic11⋊C4C2×D411yescharacteristic
677C4×Dic11—21no—
678C4×Dic11—21no—
679C4×Dic11—21no—
680C4×Dic11—21no—
681C4×Dic11—21no—
682C4×Dic11—21no—
683C4×Dic11—21no—
684C4×Dic11—21no—
685C4×Dic11—21no—
686C4×Dic11—21no—
687C4×Dic11—21no—
688C4×Dic11—21no—
689C4×Dic11C2×D411yescharacteristic
690C4×Dic11C2×D411yescharacteristic
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—
700Dic44—41no—
701#4314—22no—
702#4314—41no—
703#4313—41no—
704#4313—41no—
705#4313—41no—
706C8×D11—41no—
707#3558—111no—
708#3518—111no—
709#3401—111no—
710#3401—111no—
711#3375—111no—
712#3375—111no—
713#3324—111no—
714#3324—111no—
715#3319—111no—
716#3319—111no—
717#3313—111no—
718#3313—111no—
719#3277—111no—
720#3277—111no—
721#3266—111no—
722#3266—111no—
723#3265—111no—
724#3265—111no—
725#3262—111no—
726#3262—111no—
727#3254—111no—
728#3224—111no—
729#3224D1111yescharacteristic, complemented
730#3215—111no—
731#3121—111no—
732#3121—111no—
733#3115—111no—
734#3043—111no—
735#3043—111no—
736#3040—111no—
737#2995—111no—
738C23×C11—21no—
739C23×C11—21no—
740C23×C11—21no—
741C23×C11—21no—
742C23×C11—81no—
743C23×C11—81no—
744C23×C11—81no—
745C23×C11C22×D411yescharacteristic
746C22×D11—21no—
747C22×D11—42no—
748C22×D11—81no—
749C22×D11—81no—
750C22×D11—81no—
751C22×D11—81no—
752C22×D11—81no—
753C22×D11C22×D411yescharacteristic
754C22×D11C22×D411yescharacteristic
755Q8×C11—21no—
756Q8×C11—21no—
757Q8×C11—21no—
758Q8×C11—21no—
759Q8×C11—81no—
760D4×C11—21no—
761D4×C11—21no—
762D4×C11—21no—
763D4×C11—21no—
764D4×C11—21no—
765D4×C11—21no—
766D4×C11—21no—
767D4×C11—21no—
768D4×C11—81no—
769D4×C11—81no—
770D4×C11—81no—
771D4×C11—81no—
772D4×C11—81no—
773D4×C11—81no—
774D4×C11—81no—
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—81no—
782C2×C4×C11—81no—
783C2×C4×C11C22×D411yescharacteristic
784C2×C4×C11C22×D411yescharacteristic
785C2×C4×C11C22×D411yescharacteristic
786C2×C4×C11C22×D411yescharacteristic
787C2×C4×C11C22×D411yescharacteristic
788C2×C4×C11C2511yescharacteristic
789C22⋊D11—41no—
790C22⋊D11—41no—
791C22⋊D11—42no—
792C22⋊D11—42no—
793C22⋊D11—42no—
794C22⋊D11—81no—
795C22⋊D11—81no—
796C22⋊D11—81no—
797C22⋊D11—81no—
798C22⋊D11—81no—
799C22⋊D11—81no—
800C22⋊D11—81no—
801C22⋊D11—81no—
802C2×Dic11—21no—
803C2×Dic11—21no—
804C2×Dic11—21no—
805C2×Dic11—21no—
806C2×Dic11—21no—
807C2×Dic11—21no—
808C2×Dic11—21no—
809C2×Dic11—42no—
810C2×Dic11—42no—
811C2×Dic11—42no—
812C2×Dic11—81no—
813C2×Dic11—81no—
814C2×Dic11—81no—
815C2×Dic11—81no—
816C2×Dic11C22×D411yescharacteristic
817C2×Dic11C22×D411yescharacteristic
818C2×Dic11C22×D411yescharacteristic
819C2×Dic11C22×D411yescharacteristic
820C2×Dic11C22×D411yescharacteristic
821C2×Dic11C22×D411yescharacteristic
822D44—21no—
823D44—21no—
824D44—41no—
825C4×D11—21no—
826C4×D11—21no—
827C4×D11—21no—
828C4×D11—21no—
829C4×D11—41no—
830C4×D11—41no—
831C4×D11—42no—
832C4×D11—81no—
833C4×D11—81no—
834Dic22—21no—
835Dic22—21no—
836Dic22—21no—
837Dic22—21no—
838Dic22—21no—
839Dic22—41no—
840Dic22—42no—
841Dic22—42no—
842Dic22—81no—
843Dic22—81no—
844Dic22—81no—
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×AGL(1,ℤ/8)—111no—
859C22×SD16—111no—
860C22×SD16—111no—
861#562—221no—
862H(3,𝔽4)—221no—
863#559—111no—
864#559—111no—
865Q82—111no—
866#556—111no—
867#556—111no—
868#556—111no—
869#556—221no—
870#556—221no—
871#556—221no—
872#555—111no—
873#555—221no—
874D4×Q8—111no—
875#548—111no—
876#548—111no—
877#548—111no—
878#548—111no—
879#546—111no—
880#546—111no—
881#546—221no—
882#546—221no—
883D42—111no—
884D42—111no—
885#542—111no—
886#542—111no—
887#542—111no—
888#542—221no—
889#542—221no—
890#542C2×D1111yescharacteristic, complemented
891#538—221no—
892#538—221no—
893#538—221no—
894#535—111no—
895#535C2×D1111yescharacteristic
896#534—221no—
897#533—111no—
898#533—221no—
899#532—111no—
900#529—111no—
901#529—221no—
902C2×#124—111no—
903#519—111no—
904#519—111no—
905C4×#41—111no—
906#497—111no—
907#497—111no—
908#496—111no—
909#496C2×D1111yescharacteristic
910#495—111no—
911#495C2×D1111yescharacteristic, complemented
912#489—111no—
913#489—111no—
914#489—111no—
915#489C2×D1111yescharacteristic, complemented
916#486—111no—
917#486C2×D1111yescharacteristic
918#485—111no—
919#485—111no—
920#482—111no—
921#482—111no—
922#482—111no—
923#482—111no—
924#477—111no—
925#477—111no—
926#477—111no—
927#477—111no—
928#475—111no—
929#474—111no—
930#474—111no—
931#474—111no—
932#474—111no—
933#474—111no—
934#468—111no—
935#468—111no—
936#468—111no—
937#468—111no—
938#468—111no—
939#468—111no—
940#468—111no—
941#468—111no—
942#467—111no—
943#467—111no—
944#466—111no—
945#466—111no—
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#464—111no—
959#464C2×D1111yescharacteristic, complemented
960#463—111no—
961#463—111no—
962#463—111no—
963#463—111no—
964#463—111no—
965#463C2×D1111yescharacteristic, complemented
966#461—111no—
967#461—111no—
968#460—111no—
969#460—111no—
970#460—111no—
971#460—111no—
972#460—111no—
973#460—111no—
974#460C2×D1111yescharacteristic, complemented
975#459C2×D1111yescharacteristic, complemented
976#452—111no—
977#452C2×D1111yescharacteristic, complemented
978#451—111no—
979#451—111no—
980#451—111no—
981#451—111no—
982#450—111no—
983#450—111no—
984#450—111no—
985#450C2×D1111yescharacteristic, complemented
986#449—111no—
987#449—111no—
988#449—111no—
989#449C2×D1111yescharacteristic, complemented
990#448—111no—
991#448—111no—
992#447—111no—
993#447C2×D1111yescharacteristic, complemented
994#446—111no—
995#446—111no—
996#442—111no—
997#442—111no—
998#441—111no—
999#441—111no—
1000#440—111no—
1001#440—111no—
1002#440—111no—
1003#440—111no—
1004C4×Q16—111no—
1005C4×Q16—111no—
1006C4×SD16—111no—
1007C4×SD16—111no—
1008#436—111no—
1009#436—111no—
1010#435—111no—
1011#435—111no—
1012#435—111no—
1013#435—111no—
1014#433—111no—
1015#433C2×D1111yescharacteristic, complemented
1016#432—111no—
1017#424—111no—
1018#424—111no—
1019#423—111no—
1020#419—111no—
1021#418—111no—
1022#418—111no—
1023#418—111no—
1024#416—111no—
1025#416—111no—
1026C22×C11—21no—
1027C22×C11—21no—
1028C22×C11—21no—
1029C22×C11—41no—
1030C22×C11—41no—
1031C22×C11—41no—
1032C22×C11—41no—
1033C22×C11—41no—
1034C22×C11—41no—
1035C22×C11—41no—
1036C22×C11—41no—
1037C22×C11—41no—
1038C22×C11—41no—
1039C22×C11—41no—
1040C22×C11—41no—
1041C22×C11—162no—
1042C22×C11C23×D411yescharacteristic
1043C2×D11—21no—
1044C2×D11—21no—
1045C2×D11—21no—
1046C2×D11—21no—
1047C2×D11—21no—
1048C2×D11—21no—
1049C2×D11—41no—
1050C2×D11—41no—
1051C2×D11—41no—
1052C2×D11—162no—
1053C2×D11—162no—
1054C4×C11—21no—
1055C4×C11—21no—
1056C4×C11—21no—
1057C4×C11—21no—
1058C4×C11—21no—
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—21no—
1069Dic11—22no—
1070Dic11—21no—
1071Dic11—21no—
1072Dic11—41no—
1073Dic11—41no—
1074Dic11—41no—
1075Dic11—41no—
1076Dic11—41no—
1077Dic11—41no—
1078C2×#41—111no—
1079C2×#41—111no—
1080C2×#41—221no—
1081C2×#41C22×D1111yescharacteristic
1082C22×Q8—111no—
1083C22×Q8—111no—
1084C22×Q8—111no—
1085C22×D4—111no—
1086C22×D4—111no—
1087C22×D4—221no—
1088C22×D4—221no—
1089C22×D4C22×D1111yescharacteristic
1090#137—442no—
1091#137—442no—
1092#137—442no—
1093AGL(1,ℤ/8)—442no—
1094C2×Q16—111no—
1095C2×Q16—111no—
1096C2×Q16—111no—
1097C2×Q16—111no—
1098C2×Q16—111no—
1099C2×Q16C22×D1111yescharacteristic
1100C2×SD16—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—442no—
1111C2×SD16—442no—
1112C2×SD16C22×D1111yescharacteristic
1113C2×SD16C22×D1111yescharacteristic
1114C2×SD16C22×D1111yescharacteristic
1115C2×SD16C22×D1111yescharacteristic
1116C2×D8—111no—
1117C2×D8C22×D1111yescharacteristic
1118C2×D8C22×D1111yescharacteristic
1119C2×D8C22×D1111yescharacteristic
1120C2×M16—111no—
1121C2×M16—111no—
1122C2×M16—111no—
1123C2×M16—111no—
1124C22×C8—111no—
1125C22×C8—111no—
1126C4⋊Q8—111no—
1127C4⋊Q8—111no—
1128C4⋊Q8—111no—
1129C4⋊Q8—111no—
1130C4⋊Q8—221no—
1131C4⋊Q8—221no—
1132C4⋊Q8—221no—
1133C4⋊Q8—221no—
1134C4⋊Q8C22×D1111yescharacteristic
1135#127—111no—
1136#127C22×D1111yescharacteristic
1137#127C22×D1111yescharacteristic
1138#126—21no—
1139#126—111no—
1140#126—111no—
1141#126—221no—
1142#126—221no—
1143#126—221no—
1144#126—221no—
1145#126—221no—
1146#126—221no—
1147#126—221no—
1148#126—221no—
1149#126—221no—
1150#125—111no—
1151#125—221no—
1152#124—21no—
1153#124—111no—
1154#124—111no—
1155#124—111no—
1156#124—111no—
1157#124—111no—
1158#124—111no—
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#124—221no—
1169#124—221no—
1170#124—221no—
1171#124—221no—
1172#124—221no—
1173#124—221no—
1174#124—221no—
1175#124C22×D1111yescharacteristic
1176#124C22×D1111yescharacteristic
1177#124C22×D1111yescharacteristic
1178#123—21no—
1179#123—111no—
1180#123—111no—
1181#123—221no—
1182#123—221no—
1183#123—221no—
1184#123—221no—
1185#123—221no—
1186#123—221no—
1187#123—221no—
1188#123—221no—
1189#123—221no—
1190C22⋊Q8—21no—
1191C22⋊Q8—111no—
1192C22⋊Q8—111no—
1193C22⋊Q8—111no—
1194C22⋊Q8—111no—
1195C22⋊Q8—111no—
1196C22⋊Q8—111no—
1197C22⋊Q8—221no—
1198C22⋊Q8—221no—
1199C22⋊Q8—221no—
1200C22⋊Q8—221no—
1201C22⋊Q8—221no—
1202C22⋊Q8—221no—
1203C22⋊Q8—221no—
1204C22⋊Q8—221no—
1205C22⋊Q8—221no—
1206C22⋊Q8—221no—
1207C22⋊Q8—221no—
1208C22⋊Q8C22×D1111yescharacteristic
1209#121—21no—
1210#121—21no—
1211#121—111no—
1212#121—111no—
1213#121—111no—
1214#121—111no—
1215#121—111no—
1216#121—111no—
1217#121—221no—
1218#121—221no—
1219#121—221no—
1220#121—221no—
1221#121—221no—
1222#121—221no—
1223#121—221no—
1224#121—221no—
1225#121—221no—
1226#121—221no—
1227#121—221no—
1228#121—221no—
1229#121C22×D1111yescharacteristic
1230#120—21no—
1231#120—21no—
1232#120—221no—
1233#120—221no—
1234#120—221no—
1235#120—221no—
1236#120—221no—
1237#120—221no—
1238#120—221no—
1239#120—221no—
1240C4×Q8—111no—
1241C4×Q8—111no—
1242C4×Q8—111no—
1243C4×Q8—111no—
1244C4×Q8—111no—
1245C4×Q8—111no—
1246C4×Q8—111no—
1247C4×Q8—111no—
1248C4×Q8—111no—
1249C4×Q8—111no—
1250C4×Q8—221no—
1251C4×Q8—221no—
1252C4×Q8—221no—
1253C4×Q8—221no—
1254C4×Q8—221no—
1255C4×Q8—221no—
1256C4×Q8—221no—
1257C4×Q8—221no—
1258C4×Q8C22×D1111yescharacteristic
1259C4×D4—111no—
1260C4×D4—111no—
1261C4×D4—111no—
1262C4×D4—111no—
1263C4×D4—111no—
1264C4×D4—111no—
1265C4×D4—111no—
1266C4×D4—111no—
1267C4×D4—221no—
1268C4×D4—221no—
1269C4×D4—221no—
1270C4×D4—221no—
1271C4×D4—221no—
1272C4×D4—221no—
1273C4×D4—221no—
1274C4×D4—221no—
1275C4×D4—221no—
1276C4×D4—221no—
1277C4×D4C22×D1111yescharacteristic
1278#117—111no—
1279#117—111no—
1280#117—111no—
1281#117—111no—
1282#117—221no—
1283#117—221no—
1284#117—221no—
1285#117—221no—
1286#117—221no—
1287#117—221no—
1288#117—221no—
1289#117—221no—
1290#117C22×D1111yescharacteristic
1291C2×C22⋊C4—221no—
1292C2×C22⋊C4—221no—
1293C2×C22⋊C4—221no—
1294C2×C22⋊C4—221no—
1295C2×C42—111no—
1296C2×C42—221no—
1297#107—111no—
1298#107—111no—
1299#107—111no—
1300#107—111no—
1301#107—111no—
1302#107—111no—
1303#106—111no—
1304#106—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
1314C4⋊C8C22×D1111yescharacteristic
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#103—111no—
1325#103—111no—
1326#103—111no—
1327#103C22×D1111yescharacteristic
1328#103C22×D1111yescharacteristic
1329#102—111no—
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#102C22×D1111yescharacteristic
1342#102C22×D1111yescharacteristic
1343#102C22×D1111yescharacteristic
1344#102C22×D1111yescharacteristic
1345#102C22×D1111yescharacteristic
1346#102C22×D1111yescharacteristic
1347C22⋊C8—111no—
1348C22⋊C8—111no—
1349C22⋊C8—111no—
1350C22⋊C8—111no—
1351C22⋊C8C22×D1111yescharacteristic
1352C22⋊C8C22×D1111yescharacteristic
1353#97—111no—
1354#97—111no—
1355#97—111no—
1356#97C22×D1111yescharacteristic
1357C4×C8—111no—
1358C4×C8C22×D1111yescharacteristic
1359C2×C11—41no—
1360C2×C11—81no—
1361C2×C11—81no—
1362C2×C11—81no—
1363C2×C11—81no—
1364C2×C11#348811yescharacteristic
1365C2×C11#358511yescharacteristic
1366C2×C11#358611yescharacteristic
1367D11—41no—
1368D11—41no—
1369D11—81no—
1370C24—21no—
1371C24—221no—
1372C24—221no—
1373#41—41no—
1374#41—41no—
1375#41—222no—
1376#41—441no—
1377#41—441no—
1378#41—441no—
1379#41—882no—
1380C2×Q8—21no—
1381C2×Q8—111no—
1382C2×Q8—111no—
1383C2×Q8—111no—
1384C2×Q8—111no—
1385C2×Q8—221no—
1386C2×Q8—221no—
1387C2×Q8—221no—
1388C2×Q8—221no—
1389C2×Q8—222no—
1390C2×Q8—221no—
1391C2×Q8—221no—
1392C2×Q8—222no—
1393C2×Q8—441no—
1394C2×Q8—441no—
1395C2×Q8—441no—
1396C2×Q8—441no—
1397C2×Q8C23×D1111yescharacteristic
1398C2×Q8C23×D1111yescharacteristic
1399C2×D4—21no—
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—41no—
1407C2×D4—41no—
1408C2×D4—111no—
1409C2×D4—111no—
1410C2×D4—111no—
1411C2×D4—111no—
1412C2×D4—221no—
1413C2×D4—221no—
1414C2×D4—221no—
1415C2×D4—221no—
1416C2×D4—221no—
1417C2×D4—221no—
1418C2×D4—221no—
1419C2×D4—221no—
1420C2×D4—221no—
1421C2×D4—221no—
1422C2×D4—221no—
1423C2×D4—441no—
1424C2×D4—441no—
1425C2×D4—441no—
1426C2×D4—441no—
1427C2×D4—882no—
1428C2×D4—882no—
1429C2×D4C23×D1111yescharacteristic
1430C2×D4C23×D1111yescharacteristic
1431C2×D4C23×D1111yescharacteristic
1432C2×D4C23×D1111yescharacteristic
1433C22×C4—21no—
1434C22×C4—21no—
1435C22×C4—111no—
1436C22×C4—111no—
1437C22×C4—111no—
1438C22×C4—111no—
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
1450Q16—41no—
1451Q16—222no—
1452Q16—222no—
1453Q16—441no—
1454Q16—441no—
1455Q16—441no—
1456SD16—41no—
1457SD16—41no—
1458SD16—41no—
1459SD16—41no—
1460SD16—222no—
1461SD16—222no—
1462SD16—222no—
1463SD16—222no—
1464SD16—441no—
1465SD16—441no—
1466SD16—441no—
1467SD16—441no—
1468SD16—441no—
1469SD16—441no—
1470D8—41no—
1471D8—41no—
1472D8—41no—
1473D8—441no—
1474M16—441no—
1475M16—441no—
1476M16—441no—
1477M16—441no—
1478C2×C8—111no—
1479C2×C8—111no—
1480C2×C8—111no—
1481C2×C8—111no—
1482C2×C8—441no—
1483C2×C8—441no—
1484C2×C8C23×D1111yescharacteristic
1485C2×C8C23×D1111yescharacteristic
1486C2×C8C23×D1111yescharacteristic
1487C2×C8C23×D1111yescharacteristic
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—111no—
1492C4⋊C4—111no—
1493C4⋊C4—111no—
1494C4⋊C4—111no—
1495C4⋊C4—111no—
1496C4⋊C4—111no—
1497C4⋊C4—111no—
1498C4⋊C4—111no—
1499C4⋊C4—111no—
1500C4⋊C4—111no—
1501C4⋊C4—111no—
1502C4⋊C4—111no—
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⋊C4—221no—
1521C4⋊C4—221no—
1522C4⋊C4D4×D1111yescharacteristic
1523C4⋊C4D4×D1111yescharacteristic
1524C4⋊C4C23×D1111yescharacteristic
1525C4⋊C4C23×D1111yescharacteristic
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—111no—
1536C22⋊C4—111no—
1537C22⋊C4—111no—
1538C22⋊C4—111no—
1539C22⋊C4—111no—
1540C22⋊C4—111no—
1541C22⋊C4—111no—
1542C22⋊C4—111no—
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⋊C4—221no—
1569C22⋊C4—221no—
1570C22⋊C4—221no—
1571C22⋊C4D4×D1111yescharacteristic
1572C22⋊C4D4×D1111yescharacteristic
1573C42—21no—
1574C42—111no—
1575C42—111no—
1576C42—111no—
1577C42—111no—
1578C42—221no—
1579C42—221no—
1580C42—221no—
1581C42—221no—
1582C42—221no—
1583C42—221no—
1584C42—221no—
1585C42—221no—
1586C42—221no—
1587C42—221no—
1588C42—221no—
1589C42—221no—
1590C42C23×D1111yescharacteristic
1591C42C23×D1111yescharacteristic
1592C11#6209211yescharacteristic, complemented, Sylow
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—81no—
1598C23—81no—
1599C23—81no—
1600C23—111no—
1601C23—111no—
1602C23—221no—
1603C23—442no—
1604C23—881no—
1605C23—881no—
1606C23—881no—
1607C23—881no—
1608C23—881no—
1609C23C2×D4×D1111yescharacteristic
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—81no—
1615Q8—112no—
1616Q8—221no—
1617Q8—221no—
1618Q8—221no—
1619Q8—221no—
1620Q8—221no—
1621Q8—441no—
1622Q8—442no—
1623Q8—442no—
1624Q8—881no—
1625Q8—881no—
1626Q8—881no—
1627Q8—881no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—81no—
1637D4—81no—
1638D4—81no—
1639D4—81no—
1640D4—81no—
1641D4—81no—
1642D4—81no—
1643D4—221no—
1644D4—221no—
1645D4—441no—
1646D4—441no—
1647D4—441no—
1648D4—442no—
1649D4—442no—
1650D4—442no—
1651D4—881no—
1652D4—881no—
1653D4—881no—
1654D4—881no—
1655D4—881no—
1656D4—881no—
1657D4—881no—
1658D4—881no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—81no—
1666C2×C4—81no—
1667C2×C4—111no—
1668C2×C4—111no—
1669C2×C4—111no—
1670C2×C4—111no—
1671C2×C4—111no—
1672C2×C4—111no—
1673C2×C4—221no—
1674C2×C4—221no—
1675C2×C4—221no—
1676C2×C4—221no—
1677C2×C4—221no—
1678C2×C4—221no—
1679C2×C4—221no—
1680C2×C4—221no—
1681C2×C4—221no—
1682C2×C4—221no—
1683C2×C4—221no—
1684C2×C4—441no—
1685C2×C4—441no—
1686C2×C4—442no—
1687C2×C4—442no—
1688C2×C4—442no—
1689C2×C4—442no—
1690C2×C4—881no—
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×C4C2×D4×D1111yescharacteristic
1701C2×C4C24×D1111yescharacteristic
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—221no—
1707C8—221no—
1708C8—221no—
1709C8—221no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—162no—
1726C22—221no—
1727C22—221no—
1728C22—221no—
1729C22—221no—
1730C22—221no—
1731C22—221no—
1732C22—441no—
1733C22—441no—
1734C22—441no—
1735C22—1762no—
1736C22—1762no—
1737C22C22×D4×D1111yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—221no—
1748C4—221no—
1749C4—221no—
1750C4—221no—
1751C4—222no—
1752C4—221no—
1753C4—221no—
1754C4—441no—
1755C4—441no—
1756C4—441no—
1757C4—441no—
1758C4—441no—
1759C4—441no—
1760C4D11×H(5,𝔽2)11yescharacteristic
1761C4#1062345511yescharacteristic
1762C2—41no—
1763C2—81no—
1764C2—81no—
1765C2—81no—
1766C2—81no—
1767C2—441no—
1768C2—441no—
1769C2—881no—
1770C2#1308228311yescharacteristic
1771C2#1308339111yescharacteristic
1772C2#1308339811yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3224C2
socleC22×C11C23×D4
hypercenter#3224D11
hypocenterC11#62092
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ #117 ◁ #3224

Complements

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

NH ≅ G/Ntype
1. #13083134C2semidirect
2. #13082629C2semidirect
3. #13081688C2semidirect
4. #13081677C2semidirect
5. #13081435C2semidirect
6. #13081427C2semidirect
7. #13080846C2semidirect
8. #13080840C2semidirect
9. #13080776C2semidirect
10. #13080765C2semidirect
11. #13080686C2semidirect
12. #13080681C2semidirect
13. #13080271C2semidirect
14. #13080266C2semidirect
15. #13080130C2semidirect
16. #13080124C2semidirect
17. #13080115C2semidirect
18. #13080110C2semidirect
19. #13080074C2semidirect
20. #13080072C2semidirect
21. #13080001C2semidirect
22. #13079707C2semidirect
23. #13079617C2semidirect
24. #13078847C2semidirect
25. #13078842C2semidirect
26. #13078764C2semidirect
27. #13078133C2semidirect
28. #13078132C2semidirect
29. #13078105C2semidirect
30. #13077781C2semidirect
31. C11×#3224C2semidirect
32. C11×#542C22semidirect
36. C2×#67004C22semidirect
39. C22×#4324C22semidirect
40. C2×#66968C22semidirect
41. C2×#66968C22semidirect
42. C2×SD16×D11C22semidirect
44. #10623263C22semidirect
45. #10623253C22semidirect
55. #10623208C22semidirect
58. #10623202C22semidirect
62. #10623172C22semidirect
64. #10623163C22semidirect
68. #10623147C22semidirect
71. #10623129C22semidirect
76. #10623109C22semidirect
77. #10623103C22semidirect
78. #10623092C22semidirect
79. C4×#4341C22semidirect
82. #10623047C22semidirect
84. C11×#495C22semidirect
85. C11×#489C22semidirect
87. C11×#464C22semidirect
88. C11×#463C22semidirect
89. C11×#460C22semidirect
90. C11×#459C22semidirect
91. C11×#452C22semidirect
92. C11×#450C22semidirect
93. C11×#449C22semidirect
94. C11×#447C22semidirect
95. C11×#433C22semidirect
96. #10622846C22semidirect
97. #10622828C22semidirect
98. #10622803C22semidirect
99. #10622799C22semidirect
100. #10622799C22semidirect
101. #10622797C22semidirect
102. #10622787C22semidirect
103. #10622787C22semidirect
104. #10622787C22semidirect
107. #10622780C22semidirect
108. #10622779C22semidirect
109. #10622779C22semidirect
110. #10622778C22semidirect
112. #10622775C22semidirect
113. #10622775C22semidirect
114. SD16×Dic11C22semidirect
115. #10622771C22semidirect
116. #10622771C22semidirect
117. #10622771C22semidirect
119. #10622769C22semidirect
120. #10622768C22semidirect
122. #10622766C22semidirect
123. #10622766C22semidirect
124. #10622765C22semidirect
125. #10622765C22semidirect
126. #10622704C22semidirect
127. #10622700C22semidirect
130. #10622688C22semidirect
131. #10622688C22semidirect
132. #10622670C22semidirect
133. #10622667C22semidirect
134. #10622667C22semidirect
135. #10622667C22semidirect
136. #10622667C22semidirect
137. #10622667C22semidirect
138. #10622664C22semidirect
140. #10622655C22semidirect
142. #10622641C22semidirect
143. #10622634C22semidirect
144. #10622629C22semidirect
145. #10622620C22semidirect
146. #10622612C22semidirect
147. #10622464C22semidirect
148. #10622463C22semidirect
149. #10622458C22semidirect
150. #10622458C22semidirect
151. #10622453C22semidirect
152. #10622452C22semidirect
153. #10622450C22semidirect
154. #10622448C22semidirect
155. #10622428C22semidirect
156. #10622426C22semidirect
157. #10622421C22semidirect
158. #10622415C22semidirect
159. #10622411C22semidirect
160. #10622408C22semidirect
161. #10622407C22semidirect
162. #10622403C22semidirect
163. #10622396C22semidirect
165. #10622393C22semidirect
166. #10622393C22semidirect
168. #10622392C22semidirect
169. #10622392C22semidirect
171. #10622389C22semidirect
172. #10622385C22semidirect
174. #10622383C22semidirect
175. #10622380C22semidirect
176. #10622380C22semidirect
177. #10622378C22semidirect
178. #10622378C22semidirect
181. #10622372C22semidirect
182. #10622372C22semidirect
183. #10622372C22semidirect
184. #10622370C22semidirect
185. #10622370C22semidirect
186. #10622370C22semidirect
187. #10622352C22semidirect
190. #10622343C22semidirect
191. #10622343C22semidirect
192. #10622342C22semidirect
193. #10622341C22semidirect
194. #10622336C22semidirect
195. #10622329C22semidirect
196. #10622323C22semidirect
197. #10622319C22semidirect
198. #10622314C22semidirect
199. C4×Dic44C22semidirect
200. C4×#4314C22semidirect
201. #10622301C22semidirect
202. #10622292C22semidirect
729. #3224D11semidirect
890. #542C2×D11semidirect
911. #495C2×D11semidirect
915. #489C2×D11semidirect
959. #464C2×D11semidirect
965. #463C2×D11semidirect
974. #460C2×D11semidirect
975. #459C2×D11semidirect
977. #452C2×D11semidirect
985. #450C2×D11semidirect
989. #449C2×D11semidirect
993. #447C2×D11semidirect
1015. #433C2×D11semidirect
1592. C11#62092semidirect

Maximal subgroups

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

subgroupindex
#130831342
#130826292
#130816882
#130816772
#130814352
#130814272
#130808462
#130808402
#130807762
#130807652
#130806862
#130806812
#130802712
#130802662
#130801302
#130801242
#130801152
#130801102
#130800742
#130800722
#130800012
#130797072
#130796172
#130788472
#130788422
#130787642
#130781332
#130781322
#130781052
#130777812
C11×#32242
#6209211