Finite Group Databasebeta

← #15647529

Subgroups — #15647529

Order 2816.

1850 conjugacy classes of subgroups.

The subgroup lattice has 1788 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082982C211yesmaximal, characteristic, complemented
2#13082725C211yesmaximal, characteristic, complemented
3#13081689C211yesmaximal, characteristic, complemented
4#13081661C211yesmaximal, characteristic, complemented
5#13081451C211yesmaximal, characteristic, complemented
6#13081340C211yesmaximal, characteristic, complemented
7#13080768C211yesmaximal, characteristic, complemented
8#13080764C211yesmaximal, characteristic, complemented
9#13080738C211yesmaximal, characteristic, complemented
10#13080599C211yesmaximal, characteristic, complemented
11#13080562C211yesmaximal, characteristic, complemented
12#13080452C211yesmaximal, characteristic, complemented
13#13080370C211yesmaximal, characteristic, complemented
14#13080317C211yesmaximal, characteristic, complemented
15#13080201C211yesmaximal, characteristic, complemented
16#13080166C211yesmaximal, characteristic, complemented
17#13080156C211yesmaximal, characteristic, complemented
18#13080106C211yesmaximal, characteristic, complemented
19#13080074C211yesmaximal, characteristic, complemented
20#13080032C211yesmaximal, characteristic, complemented
21#13079943C211yesmaximal, characteristic, complemented
22#13079709C211yesmaximal, characteristic, complemented
23#13079663C211yesmaximal, characteristic, complemented
24#13079653C211yesmaximal, characteristic, complemented
25#13078892C211yesmaximal, characteristic, complemented
26#13078844C211yesmaximal, characteristic, complemented
27#13078767C211yesmaximal, characteristic, complemented
28#13078158C211yesmaximal, characteristic, complemented
29#13078135C211yesmaximal, characteristic, complemented
30#13077752C211yesmaximal, characteristic, complemented
31C11×#3035C211yesmaximal, characteristic, complemented
32C2×C11×#135C2211yescharacteristic, complemented
33C2×C11×#135C2211yescharacteristic, complemented
34C11×#532C2211yescharacteristic
35C4×C11×#41C2211yescharacteristic, complemented
36#10623365C2211yescharacteristic
37#10623365C2211yescharacteristic
38#10623365C2211yescharacteristic, complemented
39#10623362C2211yescharacteristic, complemented
40#10623360C2211yescharacteristic
41#10623360C2211yescharacteristic
42C2×#66972C2211yescharacteristic, complemented
43C2×#66971C2211yescharacteristic, complemented
44C2×#66967C2211yescharacteristic
45C2×SD16×D11C2211yescharacteristic
46#10623263C2211yescharacteristic
47#10623257C2211yescharacteristic
48#10623249C2211yescharacteristic
49#10623248C2211yescharacteristic
50#10623213C2211yescharacteristic
51#10623213C2211yescharacteristic
52#10623205C2211yescharacteristic
53#10623205C2211yescharacteristic
54#10623151—21no—
55#10623151—21no—
56#10623139—21no—
57#10623138—21no—
58#10623107C2211yescharacteristic
59#10623105C2211yescharacteristic, complemented
60#10623103C2211yescharacteristic, complemented
61#10623100C2211yescharacteristic, complemented
62#10623093—21no—
63#10623093C2211yescharacteristic, complemented
64#10623092—21no—
65#10623092C2211yescharacteristic, complemented
66#10623091—21no—
67#10623091—21no—
68#10623090—21no—
69#10623090C2211yescharacteristic, complemented
70#10623089—21no—
71#10623089—21no—
72#10623089C2211yescharacteristic
73#10623085—21no—
74#10623063—21no—
75#10623063C2211yescharacteristic, complemented
76#10623060—21no—
77#10623060C2211yescharacteristic, complemented
78#10623010—21no—
79#10623010—21no—
80#10623010C2211yescharacteristic
81#10623010C2211yescharacteristic, complemented
82#10623008C2211yescharacteristic
83C11×#464C2211yescharacteristic, complemented
84C11×#464C2211yescharacteristic, complemented
85C11×#463C2211yescharacteristic, complemented
86C11×#463C2211yescharacteristic, complemented
87C11×#462C2211yescharacteristic, complemented
88C11×#461C2211yescharacteristic, complemented
89C11×#460C2211yescharacteristic
90C11×#459C2211yescharacteristic
91C2×C11×C4⋊C8C2211yescharacteristic, complemented
92C11×#416C2211yescharacteristic, complemented
93C11×#416C2211yescharacteristic, complemented
94#10622852C2211yescharacteristic, complemented
95#10622852C2211yescharacteristic, complemented
96#10622851C2211yescharacteristic
97#10622851C2211yescharacteristic, complemented
98#10622851C2211yescharacteristic, complemented
99#10622851C2211yescharacteristic, complemented
100#10622800C2211yescharacteristic, complemented
101#10622799C2211yescharacteristic, complemented
102#10622798C2211yescharacteristic
103#10622798C2211yescharacteristic
104#10622797C2211yescharacteristic, complemented
105Q16×Dic11C2211yescharacteristic, complemented
106#10622789C2211yescharacteristic
107#10622787C2211yescharacteristic, complemented
108#10622785C2211yescharacteristic
109#10622785C2211yescharacteristic, complemented
110#10622785C2211yescharacteristic, complemented
111#10622784C2211yescharacteristic, complemented
112#10622783C2211yescharacteristic
113#10622781C2211yescharacteristic
114#10622779C2211yescharacteristic, complemented
115#10622777C2211yescharacteristic, complemented
116#10622776C2211yescharacteristic, complemented
117#10622776C2211yescharacteristic, complemented
118#10622776C2211yescharacteristic, complemented
119SD16×Dic11C2211yescharacteristic, complemented
120#10622772C2211yescharacteristic
121#10622770C2211yescharacteristic
122#10622769C2211yescharacteristic
123#10622769C2211yescharacteristic
124#10622767C2211yescharacteristic, complemented
125#10622766C2211yescharacteristic, complemented
126#10622764C2211yescharacteristic, complemented
127#10622763C2211yescharacteristic, complemented
128#10622728C2211yescharacteristic
129#10622728C2211yescharacteristic, complemented
130#10622727C2211yescharacteristic
131#10622727C2211yescharacteristic, complemented
132#10622724C2211yescharacteristic, complemented
133#10622724C2211yescharacteristic, complemented
134C8×C22⋊D11C2211yescharacteristic, complemented
135C8×C22⋊D11C2211yescharacteristic, complemented
136#10622699C2211yescharacteristic, complemented
137#10622695C2211yescharacteristic, complemented
138#10622687C2211yescharacteristic
139#10622684C2211yescharacteristic
140#10622670C2211yescharacteristic, complemented
141#10622670C2211yescharacteristic, complemented
142#10622667C2211yescharacteristic, complemented
143#10622667C2211yescharacteristic, complemented
144#10622640C2211yescharacteristic
145#10622639C2211yescharacteristic
146#10622639C2211yescharacteristic, complemented
147#10622633C2211yescharacteristic, complemented
148#10622628C2211yescharacteristic
149#10622627C2211yescharacteristic
150#10622627C2211yescharacteristic, complemented
151#10622620C2211yescharacteristic, complemented
152#10622616C2211yescharacteristic
153#10622616C2211yescharacteristic, complemented
154#10622539C2211yescharacteristic, complemented
155#10622463C2211yescharacteristic, complemented
156#10622461C2211yescharacteristic
157#10622460C2211yescharacteristic
158#10622460C2211yescharacteristic, complemented
159#10622457C2211yescharacteristic
160#10622457C2211yescharacteristic, complemented
161#10622456C2211yescharacteristic
162#10622455C2211yescharacteristic, complemented
163#10622453C2211yescharacteristic, complemented
164#10622453C2211yescharacteristic, complemented
165#10622452C2211yescharacteristic, complemented
166#10622452C2211yescharacteristic, complemented
167#10622449C2211yescharacteristic
168#10622449C2211yescharacteristic
169#10622441C2211yescharacteristic, complemented
170#10622441C2211yescharacteristic, complemented
171#10622432C2211yescharacteristic
172#10622427C2211yescharacteristic, complemented
173#10622426C2211yescharacteristic, complemented
174#10622425C2211yescharacteristic, complemented
175#10622424C2211yescharacteristic, complemented
176#10622423C2211yescharacteristic, complemented
177#10622418C2211yescharacteristic, complemented
178#10622417C2211yescharacteristic, complemented
179#10622416C2211yescharacteristic, complemented
180#10622413C2211yescharacteristic
181#10622412C2211yescharacteristic, complemented
182#10622411C2211yescharacteristic
183#10622408C2211yescharacteristic
184#10622407C2211yescharacteristic, complemented
185#10622402C2211yescharacteristic, complemented
186#10622401C2211yescharacteristic, complemented
187#10622399C2211yescharacteristic, complemented
188#10622398C2211yescharacteristic, complemented
189#10622397C2211yescharacteristic
190#10622393C2211yescharacteristic
191#10622390C2211yescharacteristic
192#10622389C2211yescharacteristic
193#10622388C2211yescharacteristic
194#10622386C2211yescharacteristic
195#10622383C2211yescharacteristic
196D11×#102C2211yescharacteristic
197#10622377C2211yescharacteristic, complemented
198#10622376C2211yescharacteristic, complemented
199#10622375C2211yescharacteristic, complemented
200#10622373C2211yescharacteristic, complemented
201#10622372C2211yescharacteristic, complemented
202#10622371C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C2×C11×#41C2311yescharacteristic
205C2×C11×#41C2311yescharacteristic
206C2×#4343C2311yescharacteristic
207C2×#4343C2311yescharacteristic
208C2×#4343C2311yescharacteristic
209C2×Q8×D11C2311yescharacteristic
210C2×#4341—21no—
211C2×D4×D11—21no—
212C2×D4×D11C2311yescharacteristic
213C2×D4×D11C2311yescharacteristic
214C2×#4339—21no—
215C11×#135—42no—
216C11×#135—42no—
217C2×C11×Q16C2311yescharacteristic
218C2×C11×Q16C2311yescharacteristic
219C2×C11×SD16C2311yescharacteristic
220C2×C11×SD16C2311yescharacteristic
221C2×C11×SD16C2311yescharacteristic
222C2×C11×SD16C2311yescharacteristic
223C2×C11×D8C2311yescharacteristic
224C2×C11×D8C2311yescharacteristic
225C22×C8×C11C2311yescharacteristic
226C22×C8×C11C2311yescharacteristic
227C11×C4⋊Q8C2311yescharacteristic
228C11×#127C2311yescharacteristic
229C11×#124C2311yescharacteristic
230C11×#124C2311yescharacteristic
231C11×#121—21no—
232C11×#121—21no—
233C4×Q8×C11C2311yescharacteristic
234C4×Q8×C11C2311yescharacteristic
235C4×D4×C11—21no—
236C4×D4×C11—21no—
237C4×D4×C11—21no—
238C4×D4×C11—21no—
239C4×D4×C11C2311yescharacteristic
240C4×D4×C11C2311yescharacteristic
241C11×#117—21no—
242C11×#117C2311yescharacteristic
243C2×C42×C11—21no—
244C2×C42×C11C2311yescharacteristic
245#67000C2311yescharacteristic
246#67000C2311yescharacteristic
247#66999C2311yescharacteristic
248#66999C2311yescharacteristic
249Q8×Dic11C2311yescharacteristic
250Q8×Dic11C2311yescharacteristic
251Q8×Dic11C2311yescharacteristic
252Q8×Dic11C2311yescharacteristic
253C2×#4326C2311yescharacteristic
254C2×#4326C2311yescharacteristic
255C2×#4325C2311yescharacteristic
256C2×#4325C2311yescharacteristic
257C2×#4325C2311yescharacteristic
258C2×#4325C2311yescharacteristic
259#66993—21no—
260#66993—21no—
261#66993—21no—
262#66993C2311yescharacteristic
263#66993C2311yescharacteristic
264#66993C2311yescharacteristic
265#66992—21no—
266#66992—21no—
267#66992—21no—
268#66992—21no—
269#66991—21no—
270#66991—21no—
271#66991—21no—
272#66991—21no—
273#66991—21no—
274#66991—21no—
275#66991C2311yescharacteristic
276#66991C2311yescharacteristic
277#66991C2311yescharacteristic
278#66991C2311yescharacteristic
279#66990—21no—
280#66990—21no—
281#66990—21no—
282#66990—21no—
283#66989—21no—
284#66989C2311yescharacteristic
285D4×Dic11C2311yescharacteristic
286D4×Dic11C2311yescharacteristic
287C2×#4324C2311yescharacteristic
288C2×#4324C2311yescharacteristic
289C2×#4323C2311yescharacteristic
290C2×#4323C2311yescharacteristic
291C2×#4323C2311yescharacteristic
292C2×#4323C2311yescharacteristic
293#66983—21no—
294#66983—21no—
295#66983—21no—
296#66983—21no—
297#66983—21no—
298#66983D411yescharacteristic
299#66983C2311yescharacteristic
300#66983C2311yescharacteristic
301#66983C2311yescharacteristic
302#66982—21no—
303#66982—21no—
304#66982—21no—
305#66982—21no—
306#66982—21no—
307#66982—21no—
308#66982—21no—
309#66982D411yescharacteristic
310#66982D411yescharacteristic
311C4×C22⋊D11—21no—
312C4×C22⋊D11—21no—
313C4×C22⋊D11—21no—
314C4×C22⋊D11—21no—
315C4×C22⋊D11—21no—
316C4×C22⋊D11—21no—
317C4×C22⋊D11—21no—
318C4×C22⋊D11C2311yescharacteristic
319C4×C22⋊D11C2311yescharacteristic
320C2×(C2×D11)⋊C4—21no—
321C2×(C2×D11)⋊C4—21no—
322#66977—21no—
323#66977—21no—
324#66977D411yescharacteristic
325#66977C2311yescharacteristic
326#66972—42no—
327#66971—42no—
328#66967—42no—
329SD16×D11—42no—
330C2×D88C2311yescharacteristic
331C2×D88C2311yescharacteristic
332C2×#4314C2311yescharacteristic
333C2×#4314C2311yescharacteristic
334C2×#4313C2311yescharacteristic
335C2×#4313C2311yescharacteristic
336C2×C8×D11C2311yescharacteristic
337C2×C8×D11C2311yescharacteristic
338#66951—21no—
339#66951—21no—
340#66950—21no—
341#66950—21no—
342#66950C2311yescharacteristic
343#66948—21no—
344#66948—21no—
345#66948C2311yescharacteristic
346#66947—21no—
347#66947—21no—
348#66946—21no—
349#66946C2311yescharacteristic
350#66945—21no—
351#66945—21no—
352#66945C2311yescharacteristic
353C4⋊C4×D11—21no—
354C4⋊C4×D11—21no—
355C4⋊C4×D11C2311yescharacteristic
356#66943—21no—
357#66943C2311yescharacteristic
358#66941—21no—
359#66941C2311yescharacteristic
360#66940—21no—
361#66940C2311yescharacteristic
362#66939—21no—
363#66939—21no—
364#66938—21no—
365#66938—21no—
366#66938—21no—
367#66938—21no—
368#66938—21no—
369#66937—21no—
370#66937—21no—
371#66937—21no—
372#66937—21no—
373#66937—21no—
374#66937—21no—
375#66937—21no—
376#66936—21no—
377#66936—21no—
378#66936—21no—
379#66935—21no—
380#66935—21no—
381#66935—21no—
382#66935—21no—
383#66932—21no—
384#66932—21no—
385#66932—21no—
386#66932—21no—
387#66932—21no—
388#66931—21no—
389#66931—21no—
390#66929—21no—
391#66929D411yescharacteristic
392#66929D411yescharacteristic
393#66928—21no—
394#66928—21no—
395#66928—21no—
396#66928D411yescharacteristic
397#66928C2311yescharacteristic
398#66927C2311yescharacteristic
399C4×D44—21no—
400C4×D44—21no—
401C4×D44—21no—
402C4×D44C2311yescharacteristic
403C4×D44C2311yescharacteristic
404C4×D44C2311yescharacteristic
405C4×D44C2311yescharacteristic
406#66925—21no—
407#66925—21no—
408#66925—21no—
409#66925—21no—
410#66925—21no—
411#66925C2311yescharacteristic
412#66925C2311yescharacteristic
413#66923—21no—
414#66923—21no—
415#66923D411yescharacteristic
416#66923C2311yescharacteristic
417#66922C2311yescharacteristic
418C4×Dic22—21no—
419C4×Dic22—21no—
420C4×Dic22C2311yescharacteristic
421C4×Dic22C2311yescharacteristic
422C11×C4⋊C8C2311yescharacteristic
423C11×C4⋊C8C2311yescharacteristic
424C11×C4⋊C8C2311yescharacteristic
425C11×C4⋊C8C2311yescharacteristic
426C11×#103C2311yescharacteristic
427C11×#103C2311yescharacteristic
428C11×#103C2311yescharacteristic
429C11×#103C2311yescharacteristic
430C11×#102C2311yescharacteristic
431C11×#102C2311yescharacteristic
432C11×#102C2311yescharacteristic
433C11×#102C2311yescharacteristic
434#66899C2311yescharacteristic
435#66899C2311yescharacteristic
436#66899C2311yescharacteristic
437#66899C2311yescharacteristic
438#66899C2311yescharacteristic
439#66899C2311yescharacteristic
440#66896C2311yescharacteristic
441#66896C2311yescharacteristic
442#66896C2311yescharacteristic
443#66896C2311yescharacteristic
444#66896C2311yescharacteristic
445#66896C2311yescharacteristic
446C22⋊(C11⋊C8)C2311yescharacteristic
447C22⋊(C11⋊C8)C2311yescharacteristic
448#66885C2311yescharacteristic
449#66885C2311yescharacteristic
450#66885C2311yescharacteristic
451#66885C2311yescharacteristic
452#66885C2311yescharacteristic
453#66885C2311yescharacteristic
454(C2×D11)⋊C8C2311yescharacteristic
455(C2×D11)⋊C8C2311yescharacteristic
456(C2×D11)⋊C8C2311yescharacteristic
457(C2×D11)⋊C8C2311yescharacteristic
458#66882C2311yescharacteristic
459#66882C2311yescharacteristic
460#66881C2311yescharacteristic
461#66881C2311yescharacteristic
462#66880C2311yescharacteristic
463#66880C2311yescharacteristic
464#66879C2311yescharacteristic
465#66879C2311yescharacteristic
466Dic11⋊C8C2311yescharacteristic
467Dic11⋊C8C2311yescharacteristic
468Dic11⋊C8C2311yescharacteristic
469Dic11⋊C8C2311yescharacteristic
470C8×Dic11C2311yescharacteristic
471C8×Dic11C2311yescharacteristic
472#66873C2311yescharacteristic
473#66873C2311yescharacteristic
474#66873C2311yescharacteristic
475#66873C2311yescharacteristic
476#66872C2311yescharacteristic
477#66872C2311yescharacteristic
478#66871C2311yescharacteristic
479#66871C2311yescharacteristic
480C4⋊(C11⋊C8)C2311yescharacteristic
481C4⋊(C11⋊C8)C2311yescharacteristic
482#66867C2311yescharacteristic
483#66867C2311yescharacteristic
484#62026—111nomaximal, Sylow
485C23×D11—21no—
486C23×D11—21no—
487C11×#41—22no—
488C11×#41—41no—
489C11×#41—41no—
490C11×#41—41no—
491C11×#41—41no—
492C11×#41—41no—
493C2×Q8×C11C2411yescharacteristic
494C2×Q8×C11C2411yescharacteristic
495C2×Q8×C11C2411yescharacteristic
496C2×D4×C11—21no—
497C2×D4×C11—21no—
498C2×D4×C11—21no—
499C2×D4×C11—21no—
500C2×D4×C11—21no—
501C2×D4×C11C2411yescharacteristic
502C2×D4×C11C2411yescharacteristic
503C2×D4×C11C2411yescharacteristic
504C22×C4×C11—21no—
505C22×C4×C11—21no—
506C22×C4×C11—21no—
507C22×C4×C11—21no—
508C22×C4×C11—21no—
509C22×C4×C11C2×D411yescharacteristic
510C22×C4×C11C2×D411yescharacteristic
511C22×C4×C11C2411yescharacteristic
512C2×C22⋊D11—21no—
513C2×C22⋊D11—21no—
514C2×C22⋊D11—21no—
515C2×C22⋊D11—21no—
516C2×C22⋊D11—21no—
517C2×C22⋊D11—21no—
518C2×C22⋊D11—21no—
519C2×C22⋊D11—21no—
520C2×C22⋊D11—21no—
521C2×C22⋊D11—21no—
522C2×C22⋊D11—21no—
523C2×C22⋊D11—21no—
524C2×C22⋊D11—21no—
525C2×C22⋊D11—21no—
526C2×C22⋊D11—21no—
527C2×C22⋊D11C2×D411yescharacteristic
528C2×C22⋊D11C2×D411yescharacteristic
529C22×Dic11—21no—
530C22×Dic11—21no—
531#4343—22no—
532#4343—41no—
533#4343—41no—
534#4343—41no—
535#4343—41no—
536#4343—41no—
537Q8×D11—22no—
538Q8×D11—41no—
539#4341—82no—
540D4×D11—41no—
541D4×D11—41no—
542D4×D11—41no—
543D4×D11—41no—
544D4×D11—82no—
545#4339—82no—
546C2×D44—21no—
547C2×D44—21no—
548C2×D44—21no—
549C2×D44—21no—
550C2×D44—21no—
551C2×D44—21no—
552C2×D44C2×D411yescharacteristic
553C2×D44C2411yescharacteristic
554C2×D44C2411yescharacteristic
555C2×D44C2411yescharacteristic
556C2×C4×D11—21no—
557C2×C4×D11—21no—
558C2×C4×D11—21no—
559C2×C4×D11—21no—
560C2×C4×D11—21no—
561C2×C4×D11—21no—
562C2×C4×D11—21no—
563C2×C4×D11—21no—
564C2×C4×D11—21no—
565C2×C4×D11C2411yescharacteristic
566C2×C4×D11C2411yescharacteristic
567C2×Dic22—21no—
568C2×Dic22—21no—
569C2×Dic22—21no—
570C2×Dic22C2×D411yescharacteristic
571C2×Dic22C2411yescharacteristic
572C11×Q16—22no—
573C11×Q16—22no—
574C11×SD16—22no—
575C11×SD16—22no—
576C11×SD16—41no—
577C11×SD16—41no—
578C11×D8—41no—
579C11×D8—41no—
580C2×C8×C11—41no—
581C2×C8×C11—41no—
582C2×C8×C11C2411yescharacteristic
583C2×C8×C11C2411yescharacteristic
584C2×C8×C11C2411yescharacteristic
585C2×C8×C11C2411yescharacteristic
586C11×C4⋊C4—21no—
587C11×C4⋊C4—21no—
588C11×C4⋊C4—21no—
589C11×C4⋊C4—21no—
590C11×C4⋊C4C2411yescharacteristic
591C11×C4⋊C4C2411yescharacteristic
592C11×C22⋊C4—21no—
593C11×C22⋊C4—21no—
594C11×C22⋊C4—21no—
595C11×C22⋊C4—21no—
596C11×C22⋊C4—21no—
597C11×C22⋊C4—21no—
598C11×C22⋊C4—21no—
599C42×C11—21no—
600C42×C11—21no—
601C42×C11—21no—
602C42×C11C2×D411yescharacteristic
603C42×C11C2×D411yescharacteristic
604C42×C11C2411yescharacteristic
605C42×C11C2411yescharacteristic
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⋊Dic11—21no—
615C22⋊Dic11C2×D411yescharacteristic
616C22⋊Dic11C2×D411yescharacteristic
617#4326—41no—
618#4326—41no—
619#4325—22no—
620#4325—22no—
621#4325—41no—
622#4325—41no—
623#4324—41no—
624#4324—41no—
625#4323—41no—
626#4323—41no—
627#4323—41no—
628#4323—41no—
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)⋊C4—21no—
645(C2×D11)⋊C4—21no—
646(C2×D11)⋊C4—21no—
647(C2×D11)⋊C4C2×D411yescharacteristic
648(C2×D11)⋊C4C2×D411yescharacteristic
649(C2×D11)⋊C4C2×D411yescharacteristic
650(C2×D11)⋊C4C2×D411yescharacteristic
651(C2×D11)⋊C4C2×D411yescharacteristic
652(C2×D11)⋊C4C2×D411yescharacteristic
653(C2×D11)⋊C4C2×D411yescharacteristic
654(C2×D11)⋊C4C2×D411yescharacteristic
655C4⋊Dic11—21no—
656C4⋊Dic11—21no—
657C4⋊Dic11—21no—
658C4⋊Dic11—21no—
659C4⋊Dic11—21no—
660C4⋊Dic11—21no—
661C4⋊Dic11—21no—
662C4⋊Dic11C2×D411yescharacteristic
663C4⋊Dic11C2×D411yescharacteristic
664C4⋊Dic11C2411yescharacteristic
665C4⋊Dic11C2411yescharacteristic
666C4⋊Dic11C2411yescharacteristic
667C4⋊Dic11C2411yescharacteristic
668Dic11⋊C4—21no—
669Dic11⋊C4—21no—
670Dic11⋊C4—21no—
671Dic11⋊C4—21no—
672Dic11⋊C4—21no—
673Dic11⋊C4—21no—
674Dic11⋊C4—21no—
675Dic11⋊C4—21no—
676Dic11⋊C4—21no—
677Dic11⋊C4—21no—
678Dic11⋊C4C2×D411yescharacteristic
679Dic11⋊C4C2×D411yescharacteristic
680Dic11⋊C4C2×D411yescharacteristic
681Dic11⋊C4C2×D411yescharacteristic
682Dic11⋊C4C2×D411yescharacteristic
683Dic11⋊C4C2×D411yescharacteristic
684Dic11⋊C4C2×D411yescharacteristic
685Dic11⋊C4C2×D411yescharacteristic
686C4×Dic11—21no—
687C4×Dic11—21no—
688C4×Dic11—21no—
689C4×Dic11—21no—
690C4×Dic11—21no—
691C4×Dic11—21no—
692C4×Dic11—21no—
693C4×Dic11C2411yescharacteristic
694C4×Dic11C2411yescharacteristic
695C2×C11⋊C8C2411yescharacteristic
696C2×C11⋊C8C2411yescharacteristic
697C2×C11⋊C8C2411yescharacteristic
698C2×C11⋊C8C2411yescharacteristic
699D88—41no—
700D88—41no—
701#4314—41no—
702#4314—41no—
703#4313—41no—
704#4313—41no—
705C8×D11—41no—
706C8×D11—41no—
707#3546—111no—
708#3524—111no—
709#3401—111no—
710#3399—111no—
711#3377—111no—
712#3368—111no—
713#3319—111no—
714#3318—111no—
715#3317—111no—
716#3307—111no—
717#3305—111no—
718#3296—111no—
719#3287—111no—
720#3282—111no—
721#3271—111no—
722#3269—111no—
723#3268—111no—
724#3265—111no—
725#3262—111no—
726#3257—111no—
727#3247—111no—
728#3224—111no—
729#3220—111no—
730#3219—111no—
731#3125—111no—
732#3121—111no—
733#3115—111no—
734#3045—111no—
735#3043—111no—
736#3035D1111yescharacteristic, complemented
737#2992—111no—
738C23×C11—21no—
739C23×C11—21no—
740C23×C11—21no—
741C23×C11C22×D411yescharacteristic
742C22×D11—21no—
743C22×D11—21no—
744C22×D11—21no—
745C22×D11—81no—
746C22×D11—81no—
747C22×D11—81no—
748C22×D11—81no—
749C22×D11—81no—
750C22×D11—81no—
751C22×D11C22×D411yescharacteristic
752C22×D11C22×D411yescharacteristic
753Q8×C11—21no—
754Q8×C11—21no—
755Q8×C11—21no—
756Q8×C11—21no—
757Q8×C11—21no—
758Q8×C11H(5,𝔽2)12yes—
759D4×C11—21no—
760D4×C11—21no—
761D4×C11—21no—
762D4×C11—21no—
763D4×C11—21no—
764D4×C11—21no—
765D4×C11—42no—
766D4×C11—42no—
767D4×C11—81no—
768D4×C11—81no—
769D4×C11—81no—
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—21no—
777C2×C4×C11—41no—
778C2×C4×C11—41no—
779C2×C4×C11—42no—
780C2×C4×C11—81no—
781C2×C4×C11—81no—
782C2×C4×C11—81no—
783C2×C4×C11—81no—
784C2×C4×C11C22×D411yescharacteristic
785C2×C4×C11C22×D411yescharacteristic
786C2×C4×C11C22×D411yescharacteristic
787C2×C4×C11C22×D411yescharacteristic
788C2×C4×C11C22×D411yescharacteristic
789C2×C4×C11C2511yescharacteristic
790C22⋊D11—41no—
791C22⋊D11—41no—
792C22⋊D11—81no—
793C22⋊D11—81no—
794C22⋊D11—81no—
795C22⋊D11—81no—
796C22⋊D11—81no—
797C22⋊D11—81no—
798C22⋊D11—81no—
799C22⋊D11—81no—
800C22⋊D11—81no—
801C22⋊D11—81no—
802C22⋊D11—81no—
803C22⋊D11—81no—
804C22⋊D11—81no—
805C22⋊D11—81no—
806C22⋊D11—81no—
807C2×Dic11—21no—
808C2×Dic11—21no—
809C2×Dic11—21no—
810C2×Dic11—21no—
811C2×Dic11—21no—
812C2×Dic11—81no—
813C2×Dic11—81no—
814C2×Dic11C22×D411yescharacteristic
815C2×Dic11C22×D411yescharacteristic
816C2×Dic11C22×D411yescharacteristic
817C2×Dic11C22×D411yescharacteristic
818C2×Dic11C22×D411yescharacteristic
819C2×Dic11C22×D411yescharacteristic
820D44—21no—
821D44—21no—
822D44—21no—
823D44—21no—
824D44—21no—
825D44—21no—
826D44—41no—
827D44—42no—
828D44—81no—
829D44—81no—
830D44—81no—
831D44—81no—
832D44—81no—
833C4×D11—21no—
834C4×D11—21no—
835C4×D11—21no—
836C4×D11—21no—
837C4×D11—42no—
838C4×D11—42no—
839C4×D11—42no—
840C4×D11—42no—
841C4×D11—81no—
842C4×D11—81no—
843C4×D11—81no—
844C4×D11—81no—
845C4×D11—81no—
846Dic22—21no—
847Dic22—21no—
848Dic22—41no—
849Dic22—42no—
850Dic22—81no—
851Dic22—81no—
852C8×C11—21no—
853C8×C11—21no—
854C8×C11—21no—
855C8×C11—21no—
856C11⋊C8—21no—
857C11⋊C8—21no—
858C11⋊C8—21no—
859C11⋊C8—21no—
860C2×#137—111no—
861C2×AGL(1,ℤ/8)—111no—
862C2×#135—111no—
863C2×#135C2×D1111yescharacteristic, complemented
864C2×#135C2×D1111yescharacteristic, complemented
865C22×SD16—111no—
866#560—221no—
867#560—221no—
868#559—111no—
869#559—221no—
870#557—111no—
871#556—111no—
872#555—111no—
873#555—221no—
874#553—111no—
875#553—221no—
876#553—221no—
877#552—111no—
878#552—221no—
879#550—111no—
880#550—111no—
881#550—111no—
882#550—111no—
883#548—111no—
884#548—111no—
885#547—111no—
886#546—111no—
887#546—111no—
888#546—221no—
889D42—111no—
890#542—111no—
891#542—111no—
892#542—111no—
893#542—221no—
894#540—111no—
895#540—221no—
896#538—221no—
897#538—221no—
898#537—221no—
899#535—111no—
900#535—111no—
901#535—221no—
902#532—111no—
903#532C2×D1111yescharacteristic
904#529—111no—
905#529—111no—
906#529—221no—
907#529—221no—
908#520—111no—
909#519—111no—
910C4×#41C2×D1111yescharacteristic, complemented
911#497—111no—
912#496—111no—
913#496—111no—
914#496—111no—
915#495—111no—
916#493—111no—
917#491—111no—
918#490—111no—
919#490—111no—
920#489—111no—
921#488—111no—
922#486—111no—
923#485—111no—
924#483—111no—
925#482—111no—
926#482—111no—
927#482—111no—
928#481—111no—
929#479—111no—
930#478—111no—
931#478—111no—
932#478—111no—
933#477—111no—
934#477—111no—
935#476—111no—
936#475—111no—
937#474—111no—
938#474—111no—
939#469—111no—
940#468—111no—
941#468—111no—
942#468—111no—
943#467—111no—
944#466—111no—
945#466—111no—
946#466—111no—
947#466—111no—
948#465—111no—
949#465—111no—
950#465—111no—
951#464—111no—
952#464—111no—
953#464—111no—
954#464—111no—
955#464—111no—
956#464—111no—
957#464C2×D1111yescharacteristic, complemented
958#464C2×D1111yescharacteristic, complemented
959#463—111no—
960#463—111no—
961#463—111no—
962#463—111no—
963#463—111no—
964#463—111no—
965#463C2×D1111yescharacteristic, complemented
966#463C2×D1111yescharacteristic, complemented
967#462C2×D1111yescharacteristic, complemented
968#461C2×D1111yescharacteristic, complemented
969#460—111no—
970#460—111no—
971#460—111no—
972#460—111no—
973#460—111no—
974#460—111no—
975#460C2×D1111yescharacteristic
976#459—111no—
977#459—111no—
978#459—111no—
979#459—111no—
980#459C2×D1111yescharacteristic
981#452—111no—
982#452—111no—
983#452—111no—
984#452—111no—
985#451—111no—
986#450—111no—
987#449—111no—
988#449—111no—
989#449—111no—
990#449—111no—
991#449—111no—
992#449—111no—
993#449—111no—
994#449—111no—
995#448—111no—
996#447—111no—
997#447—111no—
998#447—111no—
999#446—111no—
1000#446—111no—
1001#442—111no—
1002#442—111no—
1003#442—111no—
1004#441—111no—
1005#441—111no—
1006#440—111no—
1007#440—111no—
1008#440—111no—
1009C4×Q16—111no—
1010C4×SD16—111no—
1011C4×SD16—111no—
1012C4×SD16—111no—
1013#435—111no—
1014#435—111no—
1015#435—111no—
1016#435—111no—
1017C8×D4—111no—
1018C8×D4—111no—
1019#433—111no—
1020#433—111no—
1021#432—111no—
1022#424—111no—
1023#424—111no—
1024C2×C4⋊C8C2×D1111yescharacteristic, complemented
1025#418—111no—
1026#417—111no—
1027#416—111no—
1028#416C2×D1111yescharacteristic, complemented
1029#416C2×D1111yescharacteristic, complemented
1030C2×#102—111no—
1031C22×C11—21no—
1032C22×C11—21no—
1033C22×C11—21no—
1034C22×C11—41no—
1035C22×C11—41no—
1036C22×C11—41no—
1037C22×C11—41no—
1038C22×C11—41no—
1039C22×C11—41no—
1040C22×C11—41no—
1041C22×C11—41no—
1042C22×C11—41no—
1043C22×C11C23×D411yescharacteristic
1044C2×D11—21no—
1045C2×D11—21no—
1046C2×D11—21no—
1047C2×D11—21no—
1048C2×D11—21no—
1049C2×D11—21no—
1050C2×D11—41no—
1051C2×D11—41no—
1052C2×D11—41no—
1053C2×D11—41no—
1054C2×D11—41no—
1055C2×D11—41no—
1056C2×D11—41no—
1057C2×D11—41no—
1058C2×D11—41no—
1059C2×D11—162no—
1060C2×D11—162no—
1061C4×C11—21no—
1062C4×C11—21no—
1063C4×C11—21no—
1064C4×C11—21no—
1065C4×C11—21no—
1066C4×C11—22no—
1067C4×C11—41no—
1068C4×C11—41no—
1069C4×C11—41no—
1070C4×C11—41no—
1071C4×C11C2×H(5,𝔽2)11yescharacteristic
1072C4×C11#58511yescharacteristic
1073Dic11—21no—
1074Dic11—21no—
1075Dic11—21no—
1076Dic11—21no—
1077Dic11—21no—
1078Dic11—21no—
1079Dic11—41no—
1080Dic11—41no—
1081Dic11—41no—
1082Dic11—41no—
1083Dic11—41no—
1084C2×#41—111no—
1085C2×#41—111no—
1086C2×#41—111no—
1087C2×#41—221no—
1088C2×#41—221no—
1089C2×#41C22×D1111yescharacteristic
1090C2×#41C22×D1111yescharacteristic
1091C2×#41C22×D1111yescharacteristic
1092C22×Q8—111no—
1093C22×D4—111no—
1094C22×D4—111no—
1095C22×D4—221no—
1096#137—442no—
1097AGL(1,ℤ/8)—442no—
1098#135—42no—
1099#135—42no—
1100#135—442no—
1101C2×Q16—111no—
1102C2×Q16—111no—
1103C2×Q16C22×D1111yescharacteristic
1104C2×Q16C22×D1111yescharacteristic
1105C2×SD16—111no—
1106C2×SD16—111no—
1107C2×SD16—111no—
1108C2×SD16—111no—
1109C2×SD16—111no—
1110C2×SD16—111no—
1111C2×SD16—111no—
1112C2×SD16—111no—
1113C2×SD16—442no—
1114C2×SD16C22×D1111yescharacteristic
1115C2×SD16C22×D1111yescharacteristic
1116C2×SD16C22×D1111yescharacteristic
1117C2×SD16C22×D1111yescharacteristic
1118C2×D8—111no—
1119C2×D8—111no—
1120C2×D8—111no—
1121C2×D8—111no—
1122C2×D8—111no—
1123C2×D8—111no—
1124C2×D8C22×D1111yescharacteristic
1125C2×D8C22×D1111yescharacteristic
1126C2×M16—111no—
1127C2×M16—111no—
1128C22×C8—111no—
1129C22×C8—111no—
1130C22×C8C22×D1111yescharacteristic
1131C22×C8C22×D1111yescharacteristic
1132C4⋊Q8—111no—
1133C4⋊Q8—111no—
1134C4⋊Q8—221no—
1135C4⋊Q8C22×D1111yescharacteristic
1136#127—111no—
1137#127—111no—
1138#127—111no—
1139#127—111no—
1140#127—221no—
1141#127—221no—
1142#127—221no—
1143#127C22×D1111yescharacteristic
1144#126—111no—
1145#126—111no—
1146#126—221no—
1147#126—221no—
1148#126—221no—
1149#126—221no—
1150#126—221no—
1151#126—221no—
1152#126—221no—
1153#126—221no—
1154#125—111no—
1155#125—111no—
1156#125—111no—
1157#125—221no—
1158#125—221no—
1159#125—221no—
1160#124—111no—
1161#124—111no—
1162#124—111no—
1163#124—111no—
1164#124—111no—
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#124C22×D1111yescharacteristic
1175#124C22×D1111yescharacteristic
1176#123—111no—
1177#123—111no—
1178#123—221no—
1179#123—221no—
1180#123—221no—
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—
1190#123—221no—
1191#123—221no—
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—
1203#121—21no—
1204#121—21no—
1205#121—111no—
1206#121—111no—
1207#121—111no—
1208#121—111no—
1209#121—111no—
1210#121—111no—
1211#121—111no—
1212#121—111no—
1213#121—111no—
1214#121—221no—
1215#121—221no—
1216#121—221no—
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#121—221no—
1230#121—221no—
1231#121—221no—
1232#121—221no—
1233#121—221no—
1234#121—221no—
1235#121—221no—
1236#121—221no—
1237#121—221no—
1238#120—221no—
1239#120—221no—
1240#120—221no—
1241#120—221no—
1242#120—221no—
1243#120—221no—
1244#120—221no—
1245#120—221no—
1246C4×Q8—111no—
1247C4×Q8—111no—
1248C4×Q8—111no—
1249C4×Q8—111no—
1250C4×Q8—111no—
1251C4×Q8—111no—
1252C4×Q8—111no—
1253C4×Q8—221no—
1254C4×Q8—221no—
1255C4×Q8—221no—
1256C4×Q8C22×D1111yescharacteristic
1257C4×Q8C22×D1111yescharacteristic
1258C4×D4—21no—
1259C4×D4—21no—
1260C4×D4—21no—
1261C4×D4—21no—
1262C4×D4—111no—
1263C4×D4—111no—
1264C4×D4—111no—
1265C4×D4—111no—
1266C4×D4—111no—
1267C4×D4—111no—
1268C4×D4—111no—
1269C4×D4—111no—
1270C4×D4—111no—
1271C4×D4—221no—
1272C4×D4—221no—
1273C4×D4—221no—
1274C4×D4—221no—
1275C4×D4—221no—
1276C4×D4—221no—
1277C4×D4—221no—
1278C4×D4—221no—
1279C4×D4—221no—
1280C4×D4—221no—
1281C4×D4—221no—
1282C4×D4C22×D1111yescharacteristic
1283C4×D4C22×D1111yescharacteristic
1284#117—21no—
1285#117—111no—
1286#117—111no—
1287#117—111no—
1288#117—221no—
1289#117—221no—
1290#117—221no—
1291#117—221no—
1292#117—221no—
1293#117—221no—
1294#117—221no—
1295#117C22×D1111yescharacteristic
1296C2×C4⋊C4—111no—
1297C2×C4⋊C4—221no—
1298C2×C4⋊C4—221no—
1299C2×C22⋊C4—221no—
1300C2×C22⋊C4—221no—
1301C2×C42—21no—
1302C2×C42C22×D1111yescharacteristic
1303#107—111no—
1304#107—111no—
1305#107—111no—
1306#107—111no—
1307#106—111no—
1308#106—111no—
1309#106—111no—
1310#106—111no—
1311C4⋊C8—111no—
1312C4⋊C8—111no—
1313C4⋊C8—111no—
1314C4⋊C8—111no—
1315C4⋊C8—111no—
1316C4⋊C8—111no—
1317C4⋊C8C22×D1111yescharacteristic
1318C4⋊C8C22×D1111yescharacteristic
1319C4⋊C8C22×D1111yescharacteristic
1320C4⋊C8C22×D1111yescharacteristic
1321#103—111no—
1322#103—111no—
1323#103—111no—
1324#103—111no—
1325#103—111no—
1326#103—111no—
1327#103—111no—
1328#103—111no—
1329#103C22×D1111yescharacteristic
1330#103C22×D1111yescharacteristic
1331#103C22×D1111yescharacteristic
1332#103C22×D1111yescharacteristic
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#102—111no—
1343#102—111no—
1344#102—111no—
1345#102—111no—
1346#102—111no—
1347#102—111no—
1348#102—111no—
1349#102C22×D1111yescharacteristic
1350#102C22×D1111yescharacteristic
1351#102C22×D1111yescharacteristic
1352#102C22×D1111yescharacteristic
1353C22⋊C8—111no—
1354C22⋊C8—111no—
1355C22⋊C8—111no—
1356C22⋊C8—111no—
1357C22⋊C8—111no—
1358C22⋊C8—111no—
1359#97—111no—
1360#97—111no—
1361#97—111no—
1362#97—111no—
1363C4×C8—111no—
1364C4×C8—111no—
1365C2×C11—41no—
1366C2×C11—81no—
1367C2×C11—81no—
1368C2×C11—81no—
1369C2×C11#348811yescharacteristic
1370C2×C11#358411yescharacteristic
1371C2×C11#358511yescharacteristic
1372D11—41no—
1373D11—41no—
1374D11—81no—
1375D11—81no—
1376D11—81no—
1377C24—221no—
1378C24—221no—
1379#41—22no—
1380#41—41no—
1381#41—41no—
1382#41—41no—
1383#41—41no—
1384#41—41no—
1385#41—222no—
1386#41—441no—
1387#41—441no—
1388#41—441no—
1389#41—441no—
1390#41—441no—
1391#41—882no—
1392#41—882no—
1393C2×Q8—111no—
1394C2×Q8—111no—
1395C2×Q8—221no—
1396C2×Q8—221no—
1397C2×Q8—221no—
1398C2×Q8—222no—
1399C2×Q8—441no—
1400C2×Q8C23×D1111yescharacteristic
1401C2×Q8C23×D1111yescharacteristic
1402C2×Q8C23×D1111yescharacteristic
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—111no—
1409C2×D4—111no—
1410C2×D4—111no—
1411C2×D4—111no—
1412C2×D4—111no—
1413C2×D4—111no—
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—221no—
1424C2×D4—221no—
1425C2×D4—221no—
1426C2×D4—221no—
1427C2×D4—221no—
1428C2×D4—221no—
1429C2×D4—221no—
1430C2×D4—221no—
1431C2×D4—221no—
1432C2×D4—221no—
1433C2×D4—221no—
1434C2×D4—221no—
1435C2×D4—441no—
1436C2×D4—441no—
1437C2×D4—441no—
1438C2×D4—441no—
1439C2×D4—882no—
1440C2×D4C23×D1111yescharacteristic
1441C2×D4C23×D1111yescharacteristic
1442C2×D4C23×D1111yescharacteristic
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—21no—
1448C22×C4—111no—
1449C22×C4—111no—
1450C22×C4—221no—
1451C22×C4—221no—
1452C22×C4—221no—
1453C22×C4—221no—
1454C22×C4—221no—
1455C22×C4—221no—
1456C22×C4—221no—
1457C22×C4—221no—
1458C22×C4—221no—
1459C22×C4—221no—
1460C22×C4—221no—
1461C22×C4D4×D1111yescharacteristic
1462C22×C4D4×D1111yescharacteristic
1463C22×C4C23×D1111yescharacteristic
1464Q16—22no—
1465Q16—22no—
1466Q16—441no—
1467Q16—441no—
1468SD16—22no—
1469SD16—22no—
1470SD16—41no—
1471SD16—41no—
1472SD16—222no—
1473SD16—222no—
1474SD16—441no—
1475SD16—441no—
1476SD16—441no—
1477SD16—441no—
1478SD16—441no—
1479SD16—441no—
1480D8—41no—
1481D8—41no—
1482D8—441no—
1483D8—441no—
1484D8—441no—
1485D8—441no—
1486D8—441no—
1487D8—441no—
1488M16—441no—
1489M16—441no—
1490C2×C8—41no—
1491C2×C8—41no—
1492C2×C8—111no—
1493C2×C8—111no—
1494C2×C8—111no—
1495C2×C8—111no—
1496C2×C8—441no—
1497C2×C8—441no—
1498C2×C8C23×D1111yescharacteristic
1499C2×C8C23×D1111yescharacteristic
1500C2×C8C23×D1111yescharacteristic
1501C2×C8C23×D1111yescharacteristic
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—111no—
1507C4⋊C4—111no—
1508C4⋊C4—111no—
1509C4⋊C4—111no—
1510C4⋊C4—111no—
1511C4⋊C4—111no—
1512C4⋊C4—111no—
1513C4⋊C4—111no—
1514C4⋊C4—111no—
1515C4⋊C4—111no—
1516C4⋊C4—111no—
1517C4⋊C4—111no—
1518C4⋊C4—111no—
1519C4⋊C4—111no—
1520C4⋊C4—221no—
1521C4⋊C4—221no—
1522C4⋊C4—221no—
1523C4⋊C4—221no—
1524C4⋊C4—221no—
1525C4⋊C4—221no—
1526C4⋊C4—221no—
1527C4⋊C4—221no—
1528C4⋊C4—221no—
1529C4⋊C4—221no—
1530C4⋊C4—221no—
1531C4⋊C4—221no—
1532C4⋊C4—221no—
1533C4⋊C4—221no—
1534C4⋊C4—221no—
1535C4⋊C4—221no—
1536C4⋊C4—221no—
1537C4⋊C4C23×D1111yescharacteristic
1538C4⋊C4C23×D1111yescharacteristic
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—111no—
1547C22⋊C4—111no—
1548C22⋊C4—111no—
1549C22⋊C4—111no—
1550C22⋊C4—111no—
1551C22⋊C4—111no—
1552C22⋊C4—111no—
1553C22⋊C4—111no—
1554C22⋊C4—111no—
1555C22⋊C4—111no—
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⋊C4—221no—
1572C22⋊C4—221no—
1573C22⋊C4—221no—
1574C22⋊C4—221no—
1575C22⋊C4—221no—
1576C22⋊C4—221no—
1577C22⋊C4—221no—
1578C22⋊C4—221no—
1579C22⋊C4—221no—
1580C22⋊C4—221no—
1581C22⋊C4—221no—
1582C22⋊C4—221no—
1583C42—21no—
1584C42—21no—
1585C42—21no—
1586C42—111no—
1587C42—111no—
1588C42—221no—
1589C42—221no—
1590C42—221no—
1591C42—221no—
1592C42—221no—
1593C42—221no—
1594C42—221no—
1595C42D4×D1111yescharacteristic
1596C42D4×D1111yescharacteristic
1597C42C23×D1111yescharacteristic
1598C42C23×D1111yescharacteristic
1599C11#6202611yescharacteristic, complemented, Sylow
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—111no—
1604C23—111no—
1605C23—221no—
1606C23—221no—
1607C23—221no—
1608C23—881no—
1609C23—881no—
1610C23—881no—
1611C23—881no—
1612C23—881no—
1613C23—881no—
1614C23C2×D4×D1111yescharacteristic
1615Q8—21no—
1616Q8—21no—
1617Q8—21no—
1618Q8—21no—
1619Q8—21no—
1620Q8—221no—
1621Q8—221no—
1622Q8—441no—
1623Q8—442no—
1624Q8—881no—
1625Q8—881no—
1626Q8#6703712yes—
1627D4—21no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—42no—
1634D4—42no—
1635D4—81no—
1636D4—81no—
1637D4—81no—
1638D4—221no—
1639D4—221no—
1640D4—221no—
1641D4—221no—
1642D4—221no—
1643D4—221no—
1644D4—441no—
1645D4—442no—
1646D4—441no—
1647D4—441no—
1648D4—881no—
1649D4—881no—
1650D4—881no—
1651D4—881no—
1652D4—881no—
1653D4—881no—
1654D4—881no—
1655D4—881no—
1656D4—881no—
1657D4—881no—
1658D4—881no—
1659D4—881no—
1660D4—881no—
1661D4—881no—
1662D4—881no—
1663D4—881no—
1664D4—881no—
1665D4—881no—
1666D4—881no—
1667D4—881no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—41no—
1676C2×C4—41no—
1677C2×C4—42no—
1678C2×C4—81no—
1679C2×C4—81no—
1680C2×C4—81no—
1681C2×C4—81no—
1682C2×C4—111no—
1683C2×C4—111no—
1684C2×C4—111no—
1685C2×C4—111no—
1686C2×C4—111no—
1687C2×C4—111no—
1688C2×C4—221no—
1689C2×C4—221no—
1690C2×C4—221no—
1691C2×C4—221no—
1692C2×C4—221no—
1693C2×C4—221no—
1694C2×C4—221no—
1695C2×C4—221no—
1696C2×C4—221no—
1697C2×C4—442no—
1698C2×C4—442no—
1699C2×C4—442no—
1700C2×C4—442no—
1701C2×C4—881no—
1702C2×C4—881no—
1703C2×C4—881no—
1704C2×C4—881no—
1705C2×C4—881no—
1706C2×C4—881no—
1707C2×C4—881no—
1708C2×C4C2×D4×D1111yescharacteristic
1709C2×C4C2×D4×D1111yescharacteristic
1710C2×C4C2×D4×D1111yescharacteristic
1711C2×C4C2×D4×D1111yescharacteristic
1712C2×C4C2×D4×D1111yescharacteristic
1713C2×C4C24×D1111yescharacteristic
1714C8—21no—
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—221no—
1719C8—221no—
1720C8—221no—
1721C8—221no—
1722C22—21no—
1723C22—21no—
1724C22—21no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—221no—
1735C22—221no—
1736C22—221no—
1737C22—221no—
1738C22—221no—
1739C22—221no—
1740C22—441no—
1741C22—441no—
1742C22—441no—
1743C22—441no—
1744C22—441no—
1745C22—441no—
1746C22—441no—
1747C22—441no—
1748C22—441no—
1749C22—1762no—
1750C22—1762no—
1751C22C22×D4×D1111yescharacteristic
1752C4—21no—
1753C4—21no—
1754C4—21no—
1755C4—22no—
1756C4—21no—
1757C4—21no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—221no—
1763C4—221no—
1764C4—221no—
1765C4—221no—
1766C4—221no—
1767C4—221no—
1768C4—441no—
1769C4—441no—
1770C4—441no—
1771C4—441no—
1772C4—441no—
1773C4C2×#6703711yescharacteristic
1774C4#1062345311yescharacteristic
1775C2—41no—
1776C2—81no—
1777C2—81no—
1778C2—81no—
1779C2—441no—
1780C2—441no—
1781C2—881no—
1782C2—881no—
1783C2—881no—
1784C2#1308228111yescharacteristic
1785C2#1308338511yescharacteristic
1786C2#1308339311yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3035C2
socleC22×C11C23×D4
hypercenter#3035D11
hypocenterC11#62026
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3035

Complements

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

NH ≅ G/Ntype
1. #13082982C2semidirect
2. #13082725C2semidirect
3. #13081689C2semidirect
4. #13081661C2semidirect
5. #13081451C2semidirect
6. #13081340C2semidirect
7. #13080768C2semidirect
8. #13080764C2semidirect
9. #13080738C2semidirect
10. #13080599C2semidirect
11. #13080562C2semidirect
12. #13080452C2semidirect
13. #13080370C2semidirect
14. #13080317C2semidirect
15. #13080201C2semidirect
16. #13080166C2semidirect
17. #13080156C2semidirect
18. #13080106C2semidirect
19. #13080074C2semidirect
20. #13080032C2semidirect
21. #13079943C2semidirect
22. #13079709C2semidirect
23. #13079663C2semidirect
24. #13079653C2semidirect
25. #13078892C2semidirect
26. #13078844C2semidirect
27. #13078767C2semidirect
28. #13078158C2semidirect
29. #13078135C2semidirect
30. #13077752C2semidirect
31. C11×#3035C2semidirect
32. C2×C11×#135C22semidirect
33. C2×C11×#135C22semidirect
35. C4×C11×#41C22semidirect
38. #10623365C22semidirect
39. #10623362C22semidirect
42. C2×#66972C22semidirect
43. C2×#66971C22semidirect
59. #10623105C22semidirect
60. #10623103C22semidirect
61. #10623100C22semidirect
63. #10623093C22semidirect
65. #10623092C22semidirect
69. #10623090C22semidirect
75. #10623063C22semidirect
77. #10623060C22semidirect
81. #10623010C22semidirect
83. C11×#464C22semidirect
84. C11×#464C22semidirect
85. C11×#463C22semidirect
86. C11×#463C22semidirect
87. C11×#462C22semidirect
88. C11×#461C22semidirect
91. C2×C11×C4⋊C8C22semidirect
92. C11×#416C22semidirect
93. C11×#416C22semidirect
94. #10622852C22semidirect
95. #10622852C22semidirect
97. #10622851C22semidirect
98. #10622851C22semidirect
99. #10622851C22semidirect
100. #10622800C22semidirect
101. #10622799C22semidirect
104. #10622797C22semidirect
105. Q16×Dic11C22semidirect
107. #10622787C22semidirect
109. #10622785C22semidirect
110. #10622785C22semidirect
111. #10622784C22semidirect
114. #10622779C22semidirect
115. #10622777C22semidirect
116. #10622776C22semidirect
117. #10622776C22semidirect
118. #10622776C22semidirect
119. SD16×Dic11C22semidirect
124. #10622767C22semidirect
125. #10622766C22semidirect
126. #10622764C22semidirect
127. #10622763C22semidirect
129. #10622728C22semidirect
131. #10622727C22semidirect
132. #10622724C22semidirect
133. #10622724C22semidirect
134. C8×C22⋊D11C22semidirect
135. C8×C22⋊D11C22semidirect
136. #10622699C22semidirect
137. #10622695C22semidirect
140. #10622670C22semidirect
141. #10622670C22semidirect
142. #10622667C22semidirect
143. #10622667C22semidirect
146. #10622639C22semidirect
147. #10622633C22semidirect
150. #10622627C22semidirect
151. #10622620C22semidirect
153. #10622616C22semidirect
154. #10622539C22semidirect
155. #10622463C22semidirect
158. #10622460C22semidirect
160. #10622457C22semidirect
162. #10622455C22semidirect
163. #10622453C22semidirect
164. #10622453C22semidirect
165. #10622452C22semidirect
166. #10622452C22semidirect
169. #10622441C22semidirect
170. #10622441C22semidirect
172. #10622427C22semidirect
173. #10622426C22semidirect
174. #10622425C22semidirect
175. #10622424C22semidirect
176. #10622423C22semidirect
177. #10622418C22semidirect
178. #10622417C22semidirect
179. #10622416C22semidirect
181. #10622412C22semidirect
184. #10622407C22semidirect
185. #10622402C22semidirect
186. #10622401C22semidirect
187. #10622399C22semidirect
188. #10622398C22semidirect
197. #10622377C22semidirect
198. #10622376C22semidirect
199. #10622375C22semidirect
200. #10622373C22semidirect
201. #10622372C22semidirect
202. #10622371C22semidirect
736. #3035D11semidirect
863. C2×#135C2×D11semidirect
864. C2×#135C2×D11semidirect
910. C4×#41C2×D11semidirect
957. #464C2×D11semidirect
958. #464C2×D11semidirect
965. #463C2×D11semidirect
966. #463C2×D11semidirect
967. #462C2×D11semidirect
968. #461C2×D11semidirect
1024. C2×C4⋊C8C2×D11semidirect
1028. #416C2×D11semidirect
1029. #416C2×D11semidirect
1599. C11#62026semidirect

Maximal subgroups

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

subgroupindex
#130829822
#130827252
#130816892
#130816612
#130814512
#130813402
#130807682
#130807642
#130807382
#130805992
#130805622
#130804522
#130803702
#130803172
#130802012
#130801662
#130801562
#130801062
#130800742
#130800322
#130799432
#130797092
#130796632
#130796532
#130788922
#130788442
#130787672
#130781582
#130781352
#130777522
C11×#30352
#6202611