Finite Group Databasebeta

← #15631755

Subgroups — #15631755

Order 2816.

2116 conjugacy classes of subgroups.

The subgroup lattice has 1858 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082534C211yesmaximal, characteristic, complemented
2#13082374C211yesmaximal, characteristic, complemented
3#13080833C211yesmaximal, characteristic, complemented
4#13080830C211yesmaximal, characteristic, complemented
5#13080823C211yesmaximal, characteristic, complemented
6#13080810C211yesmaximal, characteristic, complemented
7#13080762C211yesmaximal, characteristic, complemented
8#13080751C211yesmaximal, characteristic, complemented
9#13080712C211yesmaximal, characteristic, complemented
10#13080711C211yesmaximal, characteristic, complemented
11#13080639C211yesmaximal, characteristic, complemented
12#13080634C211yesmaximal, characteristic, complemented
13#13080599C211yesmaximal, characteristic, complemented
14#13080472C211yesmaximal, characteristic, complemented
15#13080459C211yesmaximal, characteristic, complemented
16#13080452C211yesmaximal, characteristic, complemented
17#13080449C211yesmaximal, characteristic, complemented
18#13079018C211yesmaximal, characteristic, complemented
19#13078600C211yesmaximal, characteristic, complemented
20#13078597C211yesmaximal, characteristic, complemented
21D11×#478C211yesmaximal, characteristic, complemented
22#13078284C211yesmaximal, characteristic, complemented
23#13078273C211yesmaximal, characteristic, complemented
24#13078072C211yesmaximal, characteristic, complemented
25#13077918C211yesmaximal, characteristic, complemented
26#13077918C211yesmaximal, characteristic, complemented
27#13077427C211yesmaximal, characteristic, complemented
28#13077357C211yesmaximal, characteristic, complemented
29#13077140C211yesmaximal, characteristic, complemented
30#13077138C211yesmaximal, characteristic, complemented
31C11×#3307C211yesmaximal, characteristic, complemented
32C2×#67042C2211yescharacteristic
33C2×#67042C2211yescharacteristic
34C11×#553C2211yescharacteristic, complemented
35C11×#547C2211yescharacteristic
36#10623360C2211yescharacteristic
37#10623360C2211yescharacteristic
38C2×#66969C2211yescharacteristic, complemented
39C2×#66969C2211yescharacteristic, complemented
40C2×#66964C2211yescharacteristic
41C2×#66960C2211yescharacteristic, complemented
42C2×#66954C2211yescharacteristic, complemented
43#10623257C2211yescharacteristic
44#10623256C2211yescharacteristic
45#10623240—21no—
46#10623232—21no—
47#10623225C2211yescharacteristic, complemented
48D11×#125C2211yescharacteristic, complemented
49#10623192—21no—
50#10623185—21no—
51#10623185—21no—
52#10623184—21no—
53#10623184—21no—
54#10623180—21no—
55#10623161C2211yescharacteristic
56#10623161C2211yescharacteristic
57#10623160C2211yescharacteristic
58#10623160C2211yescharacteristic
59#10623149C2211yescharacteristic, complemented
60#10623146—21no—
61#10623145—21no—
62#10623145C2211yescharacteristic, complemented
63#10623140—21no—
64#10623139C2211yescharacteristic, complemented
65#10623139C2211yescharacteristic, complemented
66D11×#121—21no—
67#10623089—21no—
68#10623089C2211yescharacteristic, complemented
69D4×D44C2211yescharacteristic
70D4×D44C2211yescharacteristic
71#10623079C2211yescharacteristic
72C4×D4×D11C2211yescharacteristic
73#10623072C2211yescharacteristic, complemented
74#10623069—21no—
75C4×#4341C2211yescharacteristic, complemented
76#10623060C2211yescharacteristic, complemented
77#10623054C2211yescharacteristic, complemented
78#10623044C2211yescharacteristic, complemented
79#10623038—21no—
80C2×#66948—21no—
81#10623035C2211yescharacteristic, complemented
82C11×#491C2211yescharacteristic, complemented
83C11×#485C2211yescharacteristic, complemented
84C11×#483C2211yescharacteristic, complemented
85C11×#478C2211yescharacteristic, complemented
86C11×#468C2211yescharacteristic, complemented
87C11×#465C2211yescharacteristic, complemented
88C11×#461C2211yescharacteristic, complemented
89C11×#449C2211yescharacteristic, complemented
90C11×#449C2211yescharacteristic, complemented
91C11×#442C2211yescharacteristic, complemented
92C11×#435C2211yescharacteristic, complemented
93C11×#417C2211yescharacteristic, complemented
94C11×#416C2211yescharacteristic, complemented
95#10622852C2211yescharacteristic, complemented
96#10622852C2211yescharacteristic, complemented
97#10622846C2211yescharacteristic, complemented
98#10622845C2211yescharacteristic, complemented
99#10622787C2211yescharacteristic, complemented
100#10622785C2211yescharacteristic, complemented
101#10622785C2211yescharacteristic, complemented
102#10622784C2211yescharacteristic, complemented
103#10622778C2211yescharacteristic, complemented
104#10622778C2211yescharacteristic, complemented
105#10622769C2211yescharacteristic, complemented
106#10622769C2211yescharacteristic, complemented
107D8×Dic11C2211yescharacteristic, complemented
108#10622747C2211yescharacteristic, complemented
109#10622744C2211yescharacteristic, complemented
110#10622741C2211yescharacteristic, complemented
111#10622727C2211yescharacteristic, complemented
112C2×#66885C2211yescharacteristic, complemented
113C8×C22⋊D11C2211yescharacteristic, complemented
114#10622703C2211yescharacteristic, complemented
115#10622695C2211yescharacteristic, complemented
116#10622680C2211yescharacteristic, complemented
117#10622679C2211yescharacteristic, complemented
118#10622665C2211yescharacteristic, complemented
119#10622664C2211yescharacteristic, complemented
120#10622658C2211yescharacteristic, complemented
121#10622657C2211yescharacteristic, complemented
122#10622652C2211yescharacteristic, complemented
123#10622651C2211yescharacteristic, complemented
124#10622649C2211yescharacteristic, complemented
125#10622649C2211yescharacteristic, complemented
126#10622631C2211yescharacteristic, complemented
127#10622628C2211yescharacteristic, complemented
128#10622627C2211yescharacteristic, complemented
129#10622624C2211yescharacteristic, complemented
130#10622622C2211yescharacteristic, complemented
131#10622616C2211yescharacteristic, complemented
132#10622614C2211yescharacteristic, complemented
133#10622581C2211yescharacteristic, complemented
134C2×#66873C2211yescharacteristic, complemented
135#10622504C2211yescharacteristic, complemented
136#10622499C2211yescharacteristic, complemented
137#10622495C2211yescharacteristic, complemented
138D11×#107C2211yescharacteristic, complemented
139#10622484C2211yescharacteristic, complemented
140#10622479C2211yescharacteristic, complemented
141#10622479C2211yescharacteristic, complemented
142#10622477C2211yescharacteristic, complemented
143#10622476C2211yescharacteristic, complemented
144#10622474C2211yescharacteristic, complemented
145D11×#106C2211yescharacteristic, complemented
146#10622465C2211yescharacteristic, complemented
147#10622461C2211yescharacteristic, complemented
148#10622460C2211yescharacteristic, complemented
149#10622449C2211yescharacteristic, complemented
150D11×C4⋊C8C2211yescharacteristic, complemented
151#10622429C2211yescharacteristic, complemented
152#10622427C2211yescharacteristic, complemented
153#10622427C2211yescharacteristic, complemented
154#10622426C2211yescharacteristic, complemented
155#10622423C2211yescharacteristic, complemented
156#10622423C2211yescharacteristic, complemented
157#10622422C2211yescharacteristic, complemented
158#10622418C2211yescharacteristic, complemented
159#10622417C2211yescharacteristic, complemented
160#10622417C2211yescharacteristic, complemented
161#10622417C2211yescharacteristic, complemented
162#10622417C2211yescharacteristic, complemented
163#10622416C2211yescharacteristic, complemented
164#10622416C2211yescharacteristic, complemented
165#10622416C2211yescharacteristic, complemented
166#10622416C2211yescharacteristic, complemented
167#10622416C2211yescharacteristic, complemented
168#10622416C2211yescharacteristic, complemented
169#10622413C2211yescharacteristic, complemented
170#10622413C2211yescharacteristic, complemented
171#10622413C2211yescharacteristic, complemented
172#10622413C2211yescharacteristic, complemented
173#10622411C2211yescharacteristic, complemented
174#10622411C2211yescharacteristic, complemented
175#10622395C2211yescharacteristic, complemented
176#10622389C2211yescharacteristic, complemented
177#10622389C2211yescharacteristic, complemented
178#10622388C2211yescharacteristic, complemented
179#10622384C2211yescharacteristic, complemented
180#10622383C2211yescharacteristic
181#10622383C2211yescharacteristic, complemented
182#10622383C2211yescharacteristic, complemented
183D11×#102C2211yescharacteristic
184D11×#102C2211yescharacteristic
185D11×#102C2211yescharacteristic, complemented
186D11×#102C2211yescharacteristic, complemented
187#10622379C2211yescharacteristic, complemented
188#10622376C2211yescharacteristic, complemented
189#10622371C2211yescharacteristic, complemented
190#10622369C2211yescharacteristic, complemented
191#10622350C2211yescharacteristic, complemented
192#10622349C2211yescharacteristic, complemented
193#10622344C2211yescharacteristic, complemented
194#10622344C2211yescharacteristic, complemented
195#10622342C2211yescharacteristic, complemented
196#10622340C2211yescharacteristic, complemented
197#10622340C2211yescharacteristic, complemented
198(C22⋊D11)⋊C8C2211yescharacteristic, complemented
199#10622326C2211yescharacteristic, complemented
200#10622323C2211yescharacteristic, complemented
201#10622320C2211yescharacteristic, complemented
202#10622319C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C2×C11×#41C2311yescharacteristic
205#67042—24no—
206#67042—24no—
207#67042—42no—
208#67042—42no—
209C2×#4343C2311yescharacteristic
210C2×#4343C2311yescharacteristic
211C2×#4343C2311yescharacteristic
212C2×#4343C2311yescharacteristic
213C2×#4341C2311yescharacteristic
214C2×D4×D11—21no—
215C2×D4×D11—21no—
216C2×D4×D11—21no—
217C2×D4×D11—21no—
218C2×D4×D11—21no—
219C2×D4×D11C2311yescharacteristic
220C2×D4×D11C2311yescharacteristic
221C2×D4×D11C2311yescharacteristic
222C2×#4339—21no—
223C2×#4339—21no—
224C2×#4339C2311yescharacteristic
225C2×#4339C2311yescharacteristic
226C22×D44—21no—
227C22×D44—21no—
228C22×D44—21no—
229C22×D44C2311yescharacteristic
230C22×D44C2311yescharacteristic
231C22×C4×D11—21no—
232C2×C11×SD16C2311yescharacteristic
233C2×C11×SD16C2311yescharacteristic
234C2×C11×D8C2311yescharacteristic
235C2×C11×M16C2311yescharacteristic
236C22×C8×C11C2311yescharacteristic
237C11×C4⋊Q8C2311yescharacteristic
238C11×#126—21no—
239C11×#125C2311yescharacteristic
240C11×#123—21no—
241C11×#123—21no—
242C11×#123—21no—
243C11×C22⋊Q8C2311yescharacteristic
244C11×C22⋊Q8C2311yescharacteristic
245C11×#121—21no—
246C11×#121—21no—
247C11×#121C2311yescharacteristic
248C11×#121C2311yescharacteristic
249C4×D4×C11—21no—
250C4×D4×C11C2311yescharacteristic
251C4×D4×C11C2311yescharacteristic
252C4×D4×C11C2311yescharacteristic
253C11×#117C2311yescharacteristic
254C2×C11×C4⋊C4—21no—
255C2×C11×C4⋊C4C2311yescharacteristic
256#67000C2311yescharacteristic
257#67000C2311yescharacteristic
258#66999C2311yescharacteristic
259#66999C2311yescharacteristic
260C2×#4326C2311yescharacteristic
261C2×#4326C2311yescharacteristic
262#66993D411yescharacteristic
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#66991D411yescharacteristic
272#66991C2311yescharacteristic
273#66991C2311yescharacteristic
274#66990—21no—
275#66990—21no—
276#66988—21no—
277#66988—21no—
278D4×Dic11—21no—
279D4×Dic11C2311yescharacteristic
280D4×Dic11C2311yescharacteristic
281C2×#4324C2311yescharacteristic
282C2×#4323C2311yescharacteristic
283C2×#4323C2311yescharacteristic
284C2×#4323C2311yescharacteristic
285#66983—21no—
286#66983C2311yescharacteristic
287#66983C2311yescharacteristic
288#66982—21no—
289#66982—21no—
290#66982—21no—
291#66982—21no—
292C4×C22⋊D11—21no—
293C4×C22⋊D11—21no—
294C4×C22⋊D11—21no—
295C4×C22⋊D11—21no—
296C4×C22⋊D11—21no—
297C4×C22⋊D11C2311yescharacteristic
298C4×C22⋊D11C2311yescharacteristic
299C2×(C2×D11)⋊C4—21no—
300C2×(C2×D11)⋊C4—21no—
301#66979—21no—
302#66979C2311yescharacteristic
303C2×C4⋊Dic11C2311yescharacteristic
304#66977C2311yescharacteristic
305#66977C2311yescharacteristic
306C2×C4×Dic11—21no—
307C2×#4318C2311yescharacteristic
308C22×C11⋊C8C2311yescharacteristic
309#66969—42no—
310#66969—42no—
311#66964—24no—
312#66960—42no—
313C2×#4314C2311yescharacteristic
314C2×#4314C2311yescharacteristic
315C2×#4314C2311yescharacteristic
316#66954—42no—
317C2×#4313C2311yescharacteristic
318C2×#4313C2311yescharacteristic
319C2×#4313C2311yescharacteristic
320C2×#4313C2311yescharacteristic
321C2×C8×D11C2311yescharacteristic
322C2×C8×D11C2311yescharacteristic
323C2×C8×D11C2311yescharacteristic
324C2×C8×D11C2311yescharacteristic
325#66951—21no—
326#66951—21no—
327#66950C2311yescharacteristic
328#66950C2311yescharacteristic
329#66949—21no—
330#66949—21no—
331#66948—21no—
332#66948—21no—
333#66948—21no—
334#66948—21no—
335#66948—21no—
336#66948—21no—
337#66948—21no—
338#66948—21no—
339#66948D411yescharacteristic
340#66948C2311yescharacteristic
341#66948C2311yescharacteristic
342#66947—21no—
343#66947—21no—
344#66947—21no—
345#66947—21no—
346#66947—21no—
347#66946—21no—
348#66946—21no—
349#66946—21no—
350#66946C2311yescharacteristic
351#66945—21no—
352#66945C2311yescharacteristic
353#66945C2311yescharacteristic
354#66945C2311yescharacteristic
355C4⋊C4×D11—21no—
356C4⋊C4×D11—21no—
357C4⋊C4×D11—21no—
358C4⋊C4×D11C2311yescharacteristic
359C4⋊C4×D11C2311yescharacteristic
360C4⋊C4×D11C2311yescharacteristic
361C4⋊C4×D11C2311yescharacteristic
362C4⋊C4×D11C2311yescharacteristic
363#66943—21no—
364#66943C2311yescharacteristic
365#66943C2311yescharacteristic
366#66942—21no—
367#66942—21no—
368#66942—21no—
369#66942—21no—
370#66941D411yescharacteristic
371#66940—21no—
372#66940C2311yescharacteristic
373#66939—21no—
374#66938D411yescharacteristic
375#66938D411yescharacteristic
376#66937—21no—
377#66937—21no—
378#66937—21no—
379#66937—21no—
380#66937—21no—
381#66937—21no—
382#66937—21no—
383#66937D411yescharacteristic
384#66937D411yescharacteristic
385#66936—21no—
386#66935—21no—
387#66935—21no—
388#66935—21no—
389#66935—21no—
390#66935—21no—
391#66935—21no—
392(C22⋊D11)⋊C4—21no—
393(C22⋊D11)⋊C4—21no—
394(C22⋊D11)⋊C4—21no—
395(C22⋊D11)⋊C4—21no—
396(C22⋊D11)⋊C4—21no—
397C22⋊C4×D11—21no—
398C22⋊C4×D11—21no—
399C22⋊C4×D11—21no—
400#66932—21no—
401#66932—21no—
402#66932—21no—
403#66932—21no—
404#66932—21no—
405#66931—21no—
406#66931—21no—
407#66930—21no—
408#66930—21no—
409#66927C2311yescharacteristic
410C4×D44—21no—
411C4×D44C2311yescharacteristic
412C4×D44C2311yescharacteristic
413#66925—21no—
414C42×D11C2311yescharacteristic
415#66923—21no—
416#66923C2311yescharacteristic
417C4×Dic22—21no—
418C4×Dic22C2311yescharacteristic
419C11×#107C2311yescharacteristic
420C11×#106C2311yescharacteristic
421C11×#106C2311yescharacteristic
422C11×C4⋊C8C2311yescharacteristic
423C11×#103C2311yescharacteristic
424C11×#103C2311yescharacteristic
425C11×#103C2311yescharacteristic
426C11×#103C2311yescharacteristic
427C11×#103C2311yescharacteristic
428C11×#103C2311yescharacteristic
429C11×#102C2311yescharacteristic
430C11×#102C2311yescharacteristic
431C11×#102C2311yescharacteristic
432C11×#102C2311yescharacteristic
433C11×C22⋊C8C2311yescharacteristic
434C11×C22⋊C8C2311yescharacteristic
435C11×#97C2311yescharacteristic
436#66899C2311yescharacteristic
437#66899C2311yescharacteristic
438#66899C2311yescharacteristic
439#66899C2311yescharacteristic
440#66899C2311yescharacteristic
441#66899C2311yescharacteristic
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#66885C2311yescharacteristic
455#66885C2311yescharacteristic
456#66885C2311yescharacteristic
457(C2×D11)⋊C8C2311yescharacteristic
458(C2×D11)⋊C8C2311yescharacteristic
459(C2×D11)⋊C8C2311yescharacteristic
460(C2×D11)⋊C8C2311yescharacteristic
461#66882C2311yescharacteristic
462#66882C2311yescharacteristic
463#66881C2311yescharacteristic
464#66880C2311yescharacteristic
465Dic11⋊C8C2311yescharacteristic
466Dic11⋊C8C2311yescharacteristic
467C8×Dic11C2311yescharacteristic
468C8×Dic11C2311yescharacteristic
469#66874C2311yescharacteristic
470#66873C2311yescharacteristic
471#66873C2311yescharacteristic
472#66873C2311yescharacteristic
473#66873C2311yescharacteristic
474#66873C2311yescharacteristic
475#66873C2311yescharacteristic
476#66873C2311yescharacteristic
477#66873C2311yescharacteristic
478#66873C2311yescharacteristic
479#66872C2311yescharacteristic
480#66872C2311yescharacteristic
481#66872C2311yescharacteristic
482#66871C2311yescharacteristic
483#66871C2311yescharacteristic
484#66871C2311yescharacteristic
485C4⋊(C11⋊C8)C2311yescharacteristic
486#66867C2311yescharacteristic
487#61201—111nomaximal, Sylow
488C23×D11—21no—
489C23×D11—21no—
490C23×D11—21no—
491C23×D11—21no—
492C23×D11—21no—
493C11×#41—22no—
494C11×#41—22no—
495C11×#41—41no—
496C11×#41—41no—
497C2×Q8×C11C2411yescharacteristic
498C2×Q8×C11C2411yescharacteristic
499C2×D4×C11—21no—
500C2×D4×C11—21no—
501C2×D4×C11—21no—
502C2×D4×C11—21no—
503C2×D4×C11C2×D411yescharacteristic
504C2×D4×C11C2411yescharacteristic
505C2×D4×C11C2411yescharacteristic
506C22×C4×C11—21no—
507C22×C4×C11—21no—
508C22×C4×C11—21no—
509C22×C4×C11—21no—
510C22×C4×C11—21no—
511C22×C4×C11C2411yescharacteristic
512C22×C4×C11C2411yescharacteristic
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⋊D11C2×D411yescharacteristic
522C2×C22⋊D11C2×D411yescharacteristic
523C2×C22⋊D11C2×D411yescharacteristic
524C2×C22⋊D11C2×D411yescharacteristic
525C2×C22⋊D11C2×D411yescharacteristic
526C2×C22⋊D11C2×D411yescharacteristic
527C22×Dic11—21no—
528C22×Dic11—21no—
529C22×Dic11—21no—
530C22×Dic11—21no—
531#4343—22no—
532#4343—22no—
533#4343—22no—
534#4343—22no—
535#4343—22no—
536#4343—22no—
537#4343—41no—
538#4343—41no—
539#4341—22no—
540#4341—22no—
541D4×D11—22no—
542D4×D11—22no—
543D4×D11—22no—
544D4×D11—41no—
545D4×D11—41no—
546D4×D11—44no—
547D4×D11—44no—
548D4×D11—44no—
549D4×D11—44no—
550D4×D11—82no—
551D4×D11#4114yes—
552#4339—22no—
553#4339—22no—
554#4339—22no—
555#4339—22no—
556#4339—44no—
557#4339—44no—
558C2×D44—21no—
559C2×D44—21no—
560C2×D44—21no—
561C2×D44—21no—
562C2×D44—21no—
563C2×D44—21no—
564C2×D44—22no—
565C2×D44—22no—
566C2×D44—21no—
567C2×D44—21no—
568C2×D44—21no—
569C2×D44—21no—
570C2×D44—41no—
571C2×D44—41no—
572C2×D44—44no—
573C2×D44—44no—
574C2×D44—82no—
575C2×D44C2×D411yescharacteristic
576C2×D44C2×D411yescharacteristic
577C2×D44C2×D411yescharacteristic
578C2×D44C2411yescharacteristic
579C2×D44C2411yescharacteristic
580C2×D44C2411yescharacteristic
581C2×C4×D11—21no—
582C2×C4×D11—21no—
583C2×C4×D11—21no—
584C2×C4×D11—21no—
585C2×C4×D11—21no—
586C2×C4×D11—21no—
587C2×C4×D11—21no—
588C2×C4×D11—21no—
589C2×C4×D11—21no—
590C2×C4×D11—21no—
591C2×C4×D11—21no—
592C2×C4×D11—82no—
593C2×C4×D11C2×D411yescharacteristic
594C2×C4×D11C2×D411yescharacteristic
595C2×C4×D11C2411yescharacteristic
596C2×C4×D11C2411yescharacteristic
597C2×C4×D11C2411yescharacteristic
598C2×Dic22C2×D411yescharacteristic
599C2×Dic22C2×D411yescharacteristic
600C2×Dic22C2411yescharacteristic
601C11×SD16—41no—
602C11×SD16—41no—
603C11×D8—22no—
604C11×M16—41no—
605C2×C8×C11—41no—
606C2×C8×C11C2411yescharacteristic
607C2×C8×C11C2411yescharacteristic
608C2×C8×C11C2411yescharacteristic
609C2×C8×C11C2411yescharacteristic
610C11×C4⋊C4—21no—
611C11×C4⋊C4—21no—
612C11×C4⋊C4—21no—
613C11×C4⋊C4—21no—
614C11×C4⋊C4—21no—
615C11×C4⋊C4—21no—
616C11×C4⋊C4—21no—
617C11×C4⋊C4C2×D411yescharacteristic
618C11×C4⋊C4C2411yescharacteristic
619C11×C4⋊C4C2411yescharacteristic
620C11×C4⋊C4C2411yescharacteristic
621C11×C4⋊C4C2411yescharacteristic
622C11×C22⋊C4—21no—
623C11×C22⋊C4—21no—
624C11×C22⋊C4—21no—
625C11×C22⋊C4—21no—
626C11×C22⋊C4—21no—
627C11×C22⋊C4—21no—
628C11×C22⋊C4—21no—
629C11×C22⋊C4C2×D411yescharacteristic
630C11×C22⋊C4C2×D411yescharacteristic
631C42×C11—21no—
632C42×C11C2411yescharacteristic
633C22⋊Dic11—21no—
634C22⋊Dic11—21no—
635C22⋊Dic11—21no—
636C22⋊Dic11—21no—
637C22⋊Dic11—21no—
638C22⋊Dic11—21no—
639C22⋊Dic11—21no—
640C22⋊Dic11C2×D411yescharacteristic
641C22⋊Dic11C2×D411yescharacteristic
642#4326—41no—
643#4326—41no—
644#4324—22no—
645#4323—22no—
646#4323—41no—
647#4323—41no—
648(C2×D11)⋊C4—21no—
649(C2×D11)⋊C4—21no—
650(C2×D11)⋊C4—21no—
651(C2×D11)⋊C4—21no—
652(C2×D11)⋊C4—21no—
653(C2×D11)⋊C4—21no—
654(C2×D11)⋊C4—21no—
655(C2×D11)⋊C4—21no—
656(C2×D11)⋊C4—21no—
657(C2×D11)⋊C4—21no—
658(C2×D11)⋊C4—21no—
659(C2×D11)⋊C4—21no—
660(C2×D11)⋊C4—21no—
661(C2×D11)⋊C4—21no—
662(C2×D11)⋊C4—21no—
663(C2×D11)⋊C4—21no—
664(C2×D11)⋊C4—21no—
665(C2×D11)⋊C4C2×D411yescharacteristic
666(C2×D11)⋊C4C2×D411yescharacteristic
667(C2×D11)⋊C4C2×D411yescharacteristic
668(C2×D11)⋊C4C2×D411yescharacteristic
669C4⋊Dic11—21no—
670C4⋊Dic11—21no—
671C4⋊Dic11—21no—
672C4⋊Dic11—21no—
673C4⋊Dic11—21no—
674C4⋊Dic11C2×D411yescharacteristic
675C4⋊Dic11C2411yescharacteristic
676C4⋊Dic11C2411yescharacteristic
677C4⋊Dic11C2411yescharacteristic
678C4⋊Dic11C2411yescharacteristic
679Dic11⋊C4—21no—
680Dic11⋊C4—21no—
681Dic11⋊C4—21no—
682Dic11⋊C4—21no—
683Dic11⋊C4—21no—
684Dic11⋊C4—21no—
685Dic11⋊C4—21no—
686Dic11⋊C4—21no—
687Dic11⋊C4—21no—
688Dic11⋊C4—21no—
689Dic11⋊C4—21no—
690Dic11⋊C4—21no—
691Dic11⋊C4—21no—
692Dic11⋊C4—21no—
693Dic11⋊C4—21no—
694Dic11⋊C4C2×D411yescharacteristic
695Dic11⋊C4C2×D411yescharacteristic
696C4×Dic11—21no—
697C4×Dic11—21no—
698C4×Dic11—21no—
699C4×Dic11—21no—
700C4×Dic11—21no—
701C4×Dic11—21no—
702C4×Dic11C2×D411yescharacteristic
703C4×Dic11C2×D411yescharacteristic
704C4×Dic11C2411yescharacteristic
705#4318—41no—
706C2×C11⋊C8—41no—
707C2×C11⋊C8C2411yescharacteristic
708C2×C11⋊C8C2411yescharacteristic
709C2×C11⋊C8C2411yescharacteristic
710C2×C11⋊C8C2411yescharacteristic
711#4314—22no—
712#4314—41no—
713#4314—41no—
714#4313—22no—
715#4313—22no—
716#4313—41no—
717#4313—41no—
718C8×D11—22no—
719C8×D11—22no—
720C8×D11—41no—
721C8×D11—41no—
722#3512—111no—
723#3496—111no—
724#3323—111no—
725#3323—111no—
726#3322—111no—
727#3322—111no—
728#3318—111no—
729#3318—111no—
730#3315—111no—
731#3315—111no—
732#3310—111no—
733#3310—111no—
734#3307—111no—
735#3307D1111yescharacteristic, complemented
736#3297—111no—
737#3297—111no—
738#3296—111no—
739#3296—111no—
740#3142—111no—
741#3099—111no—
742#3098—111no—
743C2×#478—111no—
744#3061—111no—
745#3060—111no—
746#3035—111no—
747#3012—111no—
748#3012—111no—
749C4×AGL(1,ℤ/8)—111no—
750#2935—111no—
751#2897—111no—
752#2897—111no—
753C23×C11—21no—
754C23×C11—21no—
755C23×C11C22×D411yescharacteristic
756C23×C11C22×D411yescharacteristic
757C22×D11—21no—
758C22×D11—24no—
759C22×D11—21no—
760C22×D11—21no—
761C22×D11—42no—
762C22×D11—42no—
763C22×D11—42no—
764C22×D11—42no—
765C22×D11—81no—
766C22×D11—81no—
767C22×D11—81no—
768C22×D11—81no—
769C22×D11—81no—
770C22×D11—81no—
771C22×D11—81no—
772C22×D11—81no—
773C22×D11—81no—
774C22×D11—81no—
775C22×D11C22×D411yescharacteristic
776C22×D11C22×D411yescharacteristic
777C22×D11C22×D411yescharacteristic
778Q8×C11—21no—
779Q8×C11—21no—
780Q8×C11—21no—
781Q8×C11—21no—
782D4×C11—21no—
783D4×C11—21no—
784D4×C11—21no—
785D4×C11—41no—
786D4×C11—42no—
787D4×C11—42no—
788D4×C11—81no—
789D4×C11—81no—
790D4×C11C2×#4112yes—
791C2×C4×C11—21no—
792C2×C4×C11—21no—
793C2×C4×C11—21no—
794C2×C4×C11—21no—
795C2×C4×C11—21no—
796C2×C4×C11—21no—
797C2×C4×C11—21no—
798C2×C4×C11—21no—
799C2×C4×C11—21no—
800C2×C4×C11—21no—
801C2×C4×C11—42no—
802C2×C4×C11—42no—
803C2×C4×C11—42no—
804C2×C4×C11—81no—
805C2×C4×C11—81no—
806C2×C4×C11C22×D411yescharacteristic
807C2×C4×C11C22×D411yescharacteristic
808C2×C4×C11C22×D411yescharacteristic
809C2×C4×C11C22×D411yescharacteristic
810C2×C4×C11C2511yescharacteristic
811C22⋊D11—22no—
812C22⋊D11—22no—
813C22⋊D11—22no—
814C22⋊D11—22no—
815C22⋊D11—24no—
816C22⋊D11—41no—
817C22⋊D11—41no—
818C22⋊D11—42no—
819C22⋊D11—42no—
820C22⋊D11—42no—
821C22⋊D11—81no—
822C22⋊D11—81no—
823C22⋊D11—81no—
824C22⋊D11—81no—
825C2×Dic11—21no—
826C2×Dic11—21no—
827C2×Dic11—21no—
828C2×Dic11—21no—
829C2×Dic11—21no—
830C2×Dic11—42no—
831C2×Dic11—81no—
832C2×Dic11—81no—
833C2×Dic11—81no—
834C2×Dic11C22×D411yescharacteristic
835C2×Dic11C22×D411yescharacteristic
836C2×Dic11C22×D411yescharacteristic
837C2×Dic11C22×D411yescharacteristic
838C2×Dic11C22×D411yescharacteristic
839D44—22no—
840D44—22no—
841D44—21no—
842D44—21no—
843D44—21no—
844D44—21no—
845D44—21no—
846D44—41no—
847D44—42no—
848D44—42no—
849D44—42no—
850D44—42no—
851D44—42no—
852D44—42no—
853D44—42no—
854D44—81no—
855D44—81no—
856D44—81no—
857D44C2×#4112yes—
858C4×D11—21no—
859C4×D11—21no—
860C4×D11—21no—
861C4×D11—21no—
862C4×D11—41no—
863C4×D11—41no—
864C4×D11—42no—
865C4×D11—42no—
866C4×D11—42no—
867C4×D11—42no—
868C4×D11—42no—
869C4×D11—81no—
870C4×D11—81no—
871C4×D11—81no—
872C4×D11—81no—
873C4×D11—81no—
874C4×D11—81no—
875C4×D11C2×#4112yes—
876C4×D11H(5,𝔽2)12yes—
877Dic22—22no—
878Dic22—22no—
879Dic22—21no—
880Dic22—21no—
881C8×C11—21no—
882C8×C11—21no—
883C8×C11—21no—
884C8×C11—21no—
885C11⋊C8—21no—
886C11⋊C8—21no—
887C11⋊C8—21no—
888C11⋊C8—21no—
889C2×H(5,𝔽2)—111no—
890C2×H(5,𝔽2)—111no—
891C2×AGL(1,ℤ/8)—111no—
892C2×#135—111no—
893C2×#135—111no—
894C2×#131—111no—
895C2×#131—111no—
896#553—111no—
897#553—111no—
898#553—111no—
899#553—221no—
900#553—221no—
901#553—221no—
902#553—221no—
903#553C2×D1111yescharacteristic, complemented
904#552—111no—
905#552—111no—
906#552—111no—
907#552—111no—
908#547—111no—
909#547—221no—
910#547C2×D1111yescharacteristic
911#546—111no—
912#546—111no—
913#546—111no—
914#546—111no—
915#546—221no—
916#546—221no—
917D42—111no—
918D42—111no—
919D42—221no—
920#541—221no—
921#540—221no—
922#537—111no—
923#537—111no—
924#537—111no—
925#537—111no—
926#534—221no—
927#534—221no—
928#532—111no—
929#532—111no—
930#529—221no—
931#529—221no—
932C2×#125—111no—
933C2×#121—221no—
934C2×#121—221no—
935#520—111no—
936#520—111no—
937C4×#41—111no—
938C2×C4×D4—111no—
939#491—111no—
940#491C2×D1111yescharacteristic, complemented
941#490—111no—
942#490—111no—
943#488—111no—
944#488—111no—
945#488—111no—
946#488—111no—
947#485—111no—
948#485—111no—
949#485—111no—
950#485C2×D1111yescharacteristic, complemented
951#484—111no—
952#484—111no—
953#483—111no—
954#483C2×D1111yescharacteristic, complemented
955#482—111no—
956#482—111no—
957#482—111no—
958#482—111no—
959#481—111no—
960#481—111no—
961#480—111no—
962#480—111no—
963#478—111no—
964#478—111no—
965#478—111no—
966#478—111no—
967#478—111no—
968#478—111no—
969#478—111no—
970#478C2×D1111yescharacteristic, complemented
971#470—111no—
972#470—111no—
973#469—111no—
974#469—111no—
975#468—111no—
976#468—111no—
977#468—111no—
978#468C2×D1111yescharacteristic, complemented
979#467—111no—
980#467—111no—
981#466—111no—
982#466—111no—
983#465—111no—
984#465—111no—
985#465—111no—
986#465C2×D1111yescharacteristic, complemented
987#464—111no—
988#464—111no—
989#463—111no—
990#463—111no—
991#462—111no—
992#461C2×D1111yescharacteristic, complemented
993#460—111no—
994#459—111no—
995#452—111no—
996#452—111no—
997#452—111no—
998#452—111no—
999#450—111no—
1000#450—111no—
1001#450—111no—
1002#450—111no—
1003#449—111no—
1004#449—111no—
1005#449C2×D1111yescharacteristic, complemented
1006#449C2×D1111yescharacteristic, complemented
1007#447—111no—
1008#447—111no—
1009#447—111no—
1010#447—111no—
1011#442—111no—
1012#442C2×D1111yescharacteristic, complemented
1013#440—111no—
1014#440—111no—
1015C4×SD16—111no—
1016C4×SD16—111no—
1017C4×D8—111no—
1018C4×D8—111no—
1019#436—111no—
1020#436—111no—
1021#435—111no—
1022#435—111no—
1023#435—111no—
1024#435C2×D1111yescharacteristic, complemented
1025C8×D4—111no—
1026C8×D4—111no—
1027#428—111no—
1028C2×#107—111no—
1029C2×#106—111no—
1030C2×C4⋊C8—111no—
1031#418—111no—
1032#418—111no—
1033#418—111no—
1034#418—111no—
1035#418—111no—
1036#417—111no—
1037#417—111no—
1038#417—111no—
1039#417—111no—
1040#417—111no—
1041#417—111no—
1042#417—111no—
1043#417—111no—
1044#417C2×D1111yescharacteristic, complemented
1045#416—111no—
1046#416—111no—
1047#416—111no—
1048#416—111no—
1049#416—111no—
1050#416C2×D1111yescharacteristic, complemented
1051C2×#102—111no—
1052C2×#102—111no—
1053C2×#102—111no—
1054C2×#102—111no—
1055C2×#102—111no—
1056C2×#102—111no—
1057#408—111no—
1058#408—111no—
1059C4×M16—111no—
1060C22×C11—21no—
1061C22×C11—21no—
1062C22×C11—21no—
1063C22×C11—21no—
1064C22×C11—21no—
1065C22×C11—21no—
1066C22×C11—22no—
1067C22×C11—41no—
1068C22×C11—41no—
1069C22×C11—41no—
1070C22×C11—41no—
1071C22×C11—41no—
1072C22×C11C23×D411yescharacteristic
1073C2×D11—21no—
1074C2×D11—21no—
1075C2×D11—21no—
1076C2×D11—21no—
1077C2×D11—21no—
1078C2×D11—21no—
1079C2×D11—22no—
1080C2×D11—21no—
1081C2×D11—21no—
1082C2×D11—41no—
1083C2×D11—41no—
1084C2×D11—41no—
1085C2×D11—41no—
1086C2×D11—41no—
1087C2×D11—41no—
1088C2×D11—41no—
1089C2×D11—41no—
1090C2×D11—84no—
1091C2×D11—162no—
1092C2×D11—162no—
1093C2×D11—162no—
1094C2×D11—162no—
1095C2×D11#54612yes—
1096C4×C11—21no—
1097C4×C11—21no—
1098C4×C11—21no—
1099C4×C11—21no—
1100C4×C11—41no—
1101C4×C11—41no—
1102C4×C11—41no—
1103C4×C11—41no—
1104C4×C11—41no—
1105C4×C11—41no—
1106C4×C11C22×#4111yescharacteristic
1107C4×C11C2×H(5,𝔽2)11yescharacteristic
1108Dic11—21no—
1109Dic11—21no—
1110Dic11—21no—
1111Dic11—21no—
1112Dic11—41no—
1113Dic11—41no—
1114Dic11—41no—
1115Dic11—41no—
1116Dic11—41no—
1117Dic11#54612yes—
1118H(5,𝔽2)—224no—
1119H(5,𝔽2)—224no—
1120H(5,𝔽2)—442no—
1121H(5,𝔽2)—442no—
1122C2×#41—111no—
1123C2×#41—111no—
1124C2×#41—111no—
1125C2×#41—111no—
1126C2×#41—111no—
1127C2×#41—111no—
1128C2×#41—111no—
1129C2×#41—221no—
1130C2×#41—221no—
1131C2×#41C22×D1111yescharacteristic
1132C2×#41C22×D1111yescharacteristic
1133C22×D4—111no—
1134C22×D4—111no—
1135C22×D4—111no—
1136C22×D4—111no—
1137C22×D4—111no—
1138C22×D4—221no—
1139C22×D4—221no—
1140C22×D4—221no—
1141C22×D4—221no—
1142C22×D4—221no—
1143C22×D4—221no—
1144C22×D4—221no—
1145C22×D4—221no—
1146C23×C4—221no—
1147AGL(1,ℤ/8)—224no—
1148#135—442no—
1149#135—442no—
1150C2×Q16—111no—
1151C2×Q16—111no—
1152C2×SD16—111no—
1153C2×SD16—111no—
1154C2×SD16—111no—
1155C2×SD16—111no—
1156C2×SD16C22×D1111yescharacteristic
1157C2×SD16C22×D1111yescharacteristic
1158C2×D8—111no—
1159C2×D8—111no—
1160C2×D8—111no—
1161C2×D8C22×D1111yescharacteristic
1162#131—442no—
1163#131—442no—
1164C2×M16—111no—
1165C2×M16—111no—
1166C2×M16—111no—
1167C2×M16—111no—
1168C2×M16—111no—
1169C2×M16C22×D1111yescharacteristic
1170C22×C8—111no—
1171C22×C8—111no—
1172C22×C8—111no—
1173C22×C8—111no—
1174C22×C8—111no—
1175C22×C8C22×D1111yescharacteristic
1176C4⋊Q8—111no—
1177C4⋊Q8C22×D1111yescharacteristic
1178#127—111no—
1179#127—111no—
1180#126—21no—
1181#126—221no—
1182#126—221no—
1183#126—221no—
1184#126—221no—
1185#126—221no—
1186#126—221no—
1187#126—221no—
1188#125—111no—
1189#125—111no—
1190#125—111no—
1191#125—221no—
1192#125—221no—
1193#125—221no—
1194#125—221no—
1195#125—221no—
1196#125—221no—
1197#125C22×D1111yescharacteristic
1198#124—111no—
1199#124—111no—
1200#124—111no—
1201#124—111no—
1202#123—21no—
1203#123—21no—
1204#123—21no—
1205#123—221no—
1206#123—221no—
1207#123—221no—
1208#123—221no—
1209#123—221no—
1210#123—221no—
1211#123—221no—
1212#123—221no—
1213#123—221no—
1214#123—221no—
1215#123—221no—
1216#123—221no—
1217#123—221no—
1218C22⋊Q8—111no—
1219C22⋊Q8—111no—
1220C22⋊Q8—111no—
1221C22⋊Q8—111no—
1222C22⋊Q8—111no—
1223C22⋊Q8—111no—
1224C22⋊Q8—221no—
1225C22⋊Q8—221no—
1226C22⋊Q8—221no—
1227C22⋊Q8—221no—
1228C22⋊Q8C22×D1111yescharacteristic
1229C22⋊Q8C22×D1111yescharacteristic
1230#121—21no—
1231#121—21no—
1232#121—111no—
1233#121—111no—
1234#121—111no—
1235#121—111no—
1236#121—111no—
1237#121—111no—
1238#121—111no—
1239#121—111no—
1240#121—111no—
1241#121—111no—
1242#121—221no—
1243#121—221no—
1244#121—221no—
1245#121—221no—
1246#121—221no—
1247#121—221no—
1248#121—221no—
1249#121—221no—
1250#121—221no—
1251#121—221no—
1252#121—221no—
1253#121—221no—
1254#121—221no—
1255#121—221no—
1256#121—221no—
1257#121—221no—
1258#121—221no—
1259#121—221no—
1260#121—221no—
1261#121—221no—
1262#121—221no—
1263#121—221no—
1264#121—221no—
1265#121—221no—
1266#121C22×D1111yescharacteristic
1267#121C22×D1111yescharacteristic
1268#120—221no—
1269#120—221no—
1270#120—221no—
1271#120—221no—
1272#120—221no—
1273#120—221no—
1274#120—221no—
1275#120—221no—
1276C4×Q8—111no—
1277C4×Q8—111no—
1278C4×Q8—221no—
1279C4×Q8—221no—
1280C4×D4—21no—
1281C4×D4—111no—
1282C4×D4—111no—
1283C4×D4—111no—
1284C4×D4—111no—
1285C4×D4—111no—
1286C4×D4—111no—
1287C4×D4—111no—
1288C4×D4—221no—
1289C4×D4—221no—
1290C4×D4—221no—
1291C4×D4—221no—
1292C4×D4—221no—
1293C4×D4—221no—
1294C4×D4—221no—
1295C4×D4—221no—
1296C4×D4—221no—
1297C4×D4—221no—
1298C4×D4—221no—
1299C4×D4—221no—
1300C4×D4—221no—
1301C4×D4—221no—
1302C4×D4—221no—
1303C4×D4C22×D1111yescharacteristic
1304C4×D4C22×D1111yescharacteristic
1305C4×D4C22×D1111yescharacteristic
1306#117—111no—
1307#117—111no—
1308#117—111no—
1309#117—111no—
1310#117—221no—
1311#117—221no—
1312#117—221no—
1313#117—221no—
1314#117—221no—
1315#117C22×D1111yescharacteristic
1316C2×C4⋊C4—21no—
1317C2×C4⋊C4—111no—
1318C2×C4⋊C4—111no—
1319C2×C4⋊C4—111no—
1320C2×C4⋊C4—111no—
1321C2×C4⋊C4—111no—
1322C2×C4⋊C4—111no—
1323C2×C4⋊C4—221no—
1324C2×C4⋊C4—221no—
1325C2×C4⋊C4—221no—
1326C2×C4⋊C4C22×D1111yescharacteristic
1327C2×C22⋊C4—221no—
1328C2×C22⋊C4—221no—
1329C2×C22⋊C4—221no—
1330C2×C22⋊C4—221no—
1331C2×C22⋊C4—221no—
1332C2×C42—111no—
1333C2×C42—221no—
1334#107—111no—
1335#107—111no—
1336#107—111no—
1337#107—111no—
1338#107—111no—
1339#107C22×D1111yescharacteristic
1340#106—111no—
1341#106—111no—
1342#106—111no—
1343#106—111no—
1344#106C22×D1111yescharacteristic
1345#106C22×D1111yescharacteristic
1346C4⋊C8—111no—
1347C4⋊C8—111no—
1348C4⋊C8—111no—
1349C4⋊C8C22×D1111yescharacteristic
1350#103—111no—
1351#103—111no—
1352#103—111no—
1353#103—111no—
1354#103—111no—
1355#103—111no—
1356#103—111no—
1357#103—111no—
1358#103C22×D1111yescharacteristic
1359#103C22×D1111yescharacteristic
1360#103C22×D1111yescharacteristic
1361#103C22×D1111yescharacteristic
1362#103C22×D1111yescharacteristic
1363#103C22×D1111yescharacteristic
1364#102—111no—
1365#102—111no—
1366#102—111no—
1367#102—111no—
1368#102—111no—
1369#102—111no—
1370#102—111no—
1371#102—111no—
1372#102—111no—
1373#102—111no—
1374#102—111no—
1375#102—111no—
1376#102—111no—
1377#102—111no—
1378#102—111no—
1379#102—111no—
1380#102—111no—
1381#102—111no—
1382#102—111no—
1383#102—111no—
1384#102—111no—
1385#102—111no—
1386#102C22×D1111yescharacteristic
1387#102C22×D1111yescharacteristic
1388#102C22×D1111yescharacteristic
1389#102C22×D1111yescharacteristic
1390C22⋊C8—111no—
1391C22⋊C8—111no—
1392C22⋊C8—111no—
1393C22⋊C8—111no—
1394C22⋊C8—111no—
1395C22⋊C8—111no—
1396C22⋊C8C22×D1111yescharacteristic
1397C22⋊C8C22×D1111yescharacteristic
1398#97—111no—
1399#97C22×D1111yescharacteristic
1400C4×C8—111no—
1401C4×C8—111no—
1402C2×C11—42no—
1403C2×C11—41no—
1404C2×C11—41no—
1405C2×C11—81no—
1406C2×C11C2×#54611yescharacteristic
1407C2×C11#358411yescharacteristic
1408C2×C11#358511yescharacteristic
1409D11—22no—
1410D11—41no—
1411D11—41no—
1412D11—42no—
1413D11—81no—
1414D11—81no—
1415C24—221no—
1416C24—221no—
1417C24—221no—
1418C24—221no—
1419C24—221no—
1420#41—22no—
1421#41—22no—
1422#41—41no—
1423#41—41no—
1424#41—222no—
1425#41—222no—
1426#41—222no—
1427#41—222no—
1428#41—222no—
1429#41—222no—
1430#41—222no—
1431#41—222no—
1432#41—222no—
1433#41—222no—
1434#41—222no—
1435#41—222no—
1436#41—444no—
1437#41—444no—
1438#41—441no—
1439#41—441no—
1440C2×Q8—111no—
1441C2×Q8—111no—
1442C2×Q8—111no—
1443C2×Q8C23×D1111yescharacteristic
1444C2×Q8C23×D1111yescharacteristic
1445C2×D4—21no—
1446C2×D4—21no—
1447C2×D4—21no—
1448C2×D4—21no—
1449C2×D4—114no—
1450C2×D4—111no—
1451C2×D4—111no—
1452C2×D4—111no—
1453C2×D4—111no—
1454C2×D4—111no—
1455C2×D4—111no—
1456C2×D4—111no—
1457C2×D4—111no—
1458C2×D4—111no—
1459C2×D4—111no—
1460C2×D4—111no—
1461C2×D4—111no—
1462C2×D4—222no—
1463C2×D4—222no—
1464C2×D4—221no—
1465C2×D4—221no—
1466C2×D4—221no—
1467C2×D4—221no—
1468C2×D4—221no—
1469C2×D4—221no—
1470C2×D4—222no—
1471C2×D4—221no—
1472C2×D4—221no—
1473C2×D4—221no—
1474C2×D4—222no—
1475C2×D4—222no—
1476C2×D4—221no—
1477C2×D4—221no—
1478C2×D4—221no—
1479C2×D4—221no—
1480C2×D4—221no—
1481C2×D4—221no—
1482C2×D4—221no—
1483C2×D4—221no—
1484C2×D4—221no—
1485C2×D4—441no—
1486C2×D4—441no—
1487C2×D4—444no—
1488C2×D4—444no—
1489C2×D4—441no—
1490C2×D4—441no—
1491C2×D4—444no—
1492C2×D4—444no—
1493C2×D4—444no—
1494C2×D4—444no—
1495C2×D4—882no—
1496C2×D4—882no—
1497C2×D4D4×D1111yescharacteristic
1498C2×D4C23×D1111yescharacteristic
1499C2×D4C23×D1111yescharacteristic
1500C22×C4—21no—
1501C22×C4—21no—
1502C22×C4—21no—
1503C22×C4—21no—
1504C22×C4—21no—
1505C22×C4—111no—
1506C22×C4—111no—
1507C22×C4—111no—
1508C22×C4—111no—
1509C22×C4—111no—
1510C22×C4—221no—
1511C22×C4—221no—
1512C22×C4—221no—
1513C22×C4—221no—
1514C22×C4—221no—
1515C22×C4—221no—
1516C22×C4—221no—
1517C22×C4—221no—
1518C22×C4—221no—
1519C22×C4—221no—
1520C22×C4—221no—
1521C22×C4—221no—
1522C22×C4—221no—
1523C22×C4—221no—
1524C22×C4—221no—
1525C22×C4—882no—
1526C22×C4C23×D1111yescharacteristic
1527C22×C4C23×D1111yescharacteristic
1528Q16—441no—
1529Q16—441no—
1530SD16—41no—
1531SD16—41no—
1532SD16—222no—
1533SD16—222no—
1534SD16—441no—
1535SD16—441no—
1536D8—22no—
1537D8—222no—
1538D8—441no—
1539D8—441no—
1540M16—41no—
1541M16—222no—
1542M16—222no—
1543M16—441no—
1544M16—441no—
1545M16—441no—
1546C2×C8—41no—
1547C2×C8—111no—
1548C2×C8—111no—
1549C2×C8—111no—
1550C2×C8—111no—
1551C2×C8—222no—
1552C2×C8—222no—
1553C2×C8—441no—
1554C2×C8—441no—
1555C2×C8—441no—
1556C2×C8C23×D1111yescharacteristic
1557C2×C8C23×D1111yescharacteristic
1558C2×C8C23×D1111yescharacteristic
1559C2×C8C23×D1111yescharacteristic
1560C4⋊C4—21no—
1561C4⋊C4—21no—
1562C4⋊C4—21no—
1563C4⋊C4—21no—
1564C4⋊C4—21no—
1565C4⋊C4—21no—
1566C4⋊C4—21no—
1567C4⋊C4—111no—
1568C4⋊C4—111no—
1569C4⋊C4—111no—
1570C4⋊C4—111no—
1571C4⋊C4—111no—
1572C4⋊C4—111no—
1573C4⋊C4—111no—
1574C4⋊C4—221no—
1575C4⋊C4—221no—
1576C4⋊C4—221no—
1577C4⋊C4—221no—
1578C4⋊C4—221no—
1579C4⋊C4—221no—
1580C4⋊C4—221no—
1581C4⋊C4—221no—
1582C4⋊C4—221no—
1583C4⋊C4—221no—
1584C4⋊C4—221no—
1585C4⋊C4—221no—
1586C4⋊C4—221no—
1587C4⋊C4—221no—
1588C4⋊C4—221no—
1589C4⋊C4—221no—
1590C4⋊C4—221no—
1591C4⋊C4—221no—
1592C4⋊C4—221no—
1593C4⋊C4—221no—
1594C4⋊C4D4×D1111yescharacteristic
1595C4⋊C4C23×D1111yescharacteristic
1596C4⋊C4C23×D1111yescharacteristic
1597C4⋊C4C23×D1111yescharacteristic
1598C4⋊C4C23×D1111yescharacteristic
1599C22⋊C4—21no—
1600C22⋊C4—21no—
1601C22⋊C4—21no—
1602C22⋊C4—21no—
1603C22⋊C4—21no—
1604C22⋊C4—21no—
1605C22⋊C4—21no—
1606C22⋊C4—111no—
1607C22⋊C4—111no—
1608C22⋊C4—111no—
1609C22⋊C4—111no—
1610C22⋊C4—111no—
1611C22⋊C4—111no—
1612C22⋊C4—221no—
1613C22⋊C4—221no—
1614C22⋊C4—221no—
1615C22⋊C4—221no—
1616C22⋊C4—221no—
1617C22⋊C4—221no—
1618C22⋊C4—221no—
1619C22⋊C4—221no—
1620C22⋊C4—221no—
1621C22⋊C4—221no—
1622C22⋊C4—221no—
1623C22⋊C4—221no—
1624C22⋊C4—221no—
1625C22⋊C4—221no—
1626C22⋊C4—221no—
1627C22⋊C4—221no—
1628C22⋊C4—221no—
1629C22⋊C4—221no—
1630C22⋊C4—221no—
1631C22⋊C4—221no—
1632C22⋊C4—221no—
1633C22⋊C4—221no—
1634C22⋊C4—221no—
1635C22⋊C4—221no—
1636C22⋊C4D4×D1111yescharacteristic
1637C22⋊C4D4×D1111yescharacteristic
1638C42—21no—
1639C42—111no—
1640C42—111no—
1641C42—111no—
1642C42—221no—
1643C42—221no—
1644C42—221no—
1645C42—221no—
1646C42—221no—
1647C42—221no—
1648C42C23×D1111yescharacteristic
1649C11#6120111yescharacteristic, complemented, Sylow
1650C23—21no—
1651C23—21no—
1652C23—111no—
1653C23—111no—
1654C23—111no—
1655C23—224no—
1656C23—221no—
1657C23—221no—
1658C23—221no—
1659C23—442no—
1660C23—442no—
1661C23—442no—
1662C23—442no—
1663C23—881no—
1664C23—881no—
1665C23—881no—
1666C23—881no—
1667C23—881no—
1668C23—881no—
1669C23—881no—
1670C23—881no—
1671C23—881no—
1672C23—881no—
1673C23C2×D4×D1111yescharacteristic
1674C23C2×D4×D1111yescharacteristic
1675Q8—21no—
1676Q8—21no—
1677Q8—21no—
1678Q8—21no—
1679Q8—222no—
1680Q8—222no—
1681Q8—221no—
1682Q8—221no—
1683D4—21no—
1684D4—21no—
1685D4—21no—
1686D4—41no—
1687D4—42no—
1688D4—42no—
1689D4—81no—
1690D4—81no—
1691D4—112no—
1692D4—222no—
1693D4—222no—
1694D4—224no—
1695D4—222no—
1696D4—222no—
1697D4—222no—
1698D4—222no—
1699D4—221no—
1700D4—221no—
1701D4—221no—
1702D4—221no—
1703D4—221no—
1704D4—441no—
1705D4—442no—
1706D4—442no—
1707D4—442no—
1708D4—442no—
1709D4—442no—
1710D4—442no—
1711D4—442no—
1712D4—441no—
1713D4—441no—
1714D4—442no—
1715D4—442no—
1716D4—442no—
1717D4—881no—
1718D4—881no—
1719D4—881no—
1720D4—881no—
1721D4—881no—
1722D4—881no—
1723D4—881no—
1724D4#41×D1112yes—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—42no—
1736C2×C4—42no—
1737C2×C4—42no—
1738C2×C4—81no—
1739C2×C4—81no—
1740C2×C4—111no—
1741C2×C4—112no—
1742C2×C4—112no—
1743C2×C4—111no—
1744C2×C4—111no—
1745C2×C4—111no—
1746C2×C4—111no—
1747C2×C4—221no—
1748C2×C4—221no—
1749C2×C4—221no—
1750C2×C4—221no—
1751C2×C4—221no—
1752C2×C4—221no—
1753C2×C4—221no—
1754C2×C4—221no—
1755C2×C4—221no—
1756C2×C4—441no—
1757C2×C4—441no—
1758C2×C4—442no—
1759C2×C4—442no—
1760C2×C4—442no—
1761C2×C4—442no—
1762C2×C4—442no—
1763C2×C4—442no—
1764C2×C4—881no—
1765C2×C4—881no—
1766C2×C4—881no—
1767C2×C4—881no—
1768C2×C4—881no—
1769C2×C4—881no—
1770C2×C4—881no—
1771C2×C4—881no—
1772C2×C4—881no—
1773C2×C4C2×D4×D1111yescharacteristic
1774C2×C4C2×D4×D1111yescharacteristic
1775C2×C4C2×D4×D1111yescharacteristic
1776C2×C4C2×D4×D1111yescharacteristic
1777C2×C4C24×D1111yescharacteristic
1778C8—21no—
1779C8—21no—
1780C8—21no—
1781C8—21no—
1782C8—221no—
1783C8—221no—
1784C8—221no—
1785C8—221no—
1786C22—21no—
1787C22—21no—
1788C22—21no—
1789C22—21no—
1790C22—22no—
1791C22—21no—
1792C22—21no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—112no—
1799C22—221no—
1800C22—221no—
1801C22—221no—
1802C22—221no—
1803C22—221no—
1804C22—221no—
1805C22—222no—
1806C22—221no—
1807C22—221no—
1808C22—441no—
1809C22—441no—
1810C22—441no—
1811C22—441no—
1812C22—441no—
1813C22—441no—
1814C22—441no—
1815C22—441no—
1816C22—884no—
1817C22—1762no—
1818C22—1762no—
1819C22—1762no—
1820C22—1762no—
1821C22C22×D4×D1111yescharacteristic
1822C4—21no—
1823C4—21no—
1824C4—21no—
1825C4—21no—
1826C4—41no—
1827C4—41no—
1828C4—41no—
1829C4—41no—
1830C4—41no—
1831C4—41no—
1832C4—112no—
1833C4—221no—
1834C4—221no—
1835C4—221no—
1836C4—221no—
1837C4—441no—
1838C4—441no—
1839C4—441no—
1840C4—441no—
1841C4—441no—
1842C4C2×#41×D1111yescharacteristic
1843C4D11×H(5,𝔽2)11yescharacteristic
1844C2—41no—
1845C2—41no—
1846C2—42no—
1847C2—81no—
1848C2—222no—
1849C2—441no—
1850C2—441no—
1851C2—442no—
1852C2—881no—
1853C2—881no—
1854C2D11×#54611yescharacteristic
1855C2#1308338811yescharacteristic
1856C2#1308339311yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3307C2
socleC22×C11C23×D4
hypercenter#3307D11
hypocenterC11#61201
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3307

Complements

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

NH ≅ G/Ntype
1. #13082534C2semidirect
2. #13082374C2semidirect
3. #13080833C2semidirect
4. #13080830C2semidirect
5. #13080823C2semidirect
6. #13080810C2semidirect
7. #13080762C2semidirect
8. #13080751C2semidirect
9. #13080712C2semidirect
10. #13080711C2semidirect
11. #13080639C2semidirect
12. #13080634C2semidirect
13. #13080599C2semidirect
14. #13080472C2semidirect
15. #13080459C2semidirect
16. #13080452C2semidirect
17. #13080449C2semidirect
18. #13079018C2semidirect
19. #13078600C2semidirect
20. #13078597C2semidirect
21. D11×#478C2semidirect
22. #13078284C2semidirect
23. #13078273C2semidirect
24. #13078072C2semidirect
25. #13077918C2semidirect
26. #13077918C2semidirect
27. #13077427C2semidirect
28. #13077357C2semidirect
29. #13077140C2semidirect
30. #13077138C2semidirect
31. C11×#3307C2semidirect
34. C11×#553C22semidirect
38. C2×#66969C22semidirect
39. C2×#66969C22semidirect
41. C2×#66960C22semidirect
42. C2×#66954C22semidirect
47. #10623225C22semidirect
48. D11×#125C22semidirect
59. #10623149C22semidirect
62. #10623145C22semidirect
64. #10623139C22semidirect
65. #10623139C22semidirect
68. #10623089C22semidirect
73. #10623072C22semidirect
75. C4×#4341C22semidirect
76. #10623060C22semidirect
77. #10623054C22semidirect
78. #10623044C22semidirect
81. #10623035C22semidirect
82. C11×#491C22semidirect
83. C11×#485C22semidirect
84. C11×#483C22semidirect
85. C11×#478C22semidirect
86. C11×#468C22semidirect
87. C11×#465C22semidirect
88. C11×#461C22semidirect
89. C11×#449C22semidirect
90. C11×#449C22semidirect
91. C11×#442C22semidirect
92. C11×#435C22semidirect
93. C11×#417C22semidirect
94. C11×#416C22semidirect
95. #10622852C22semidirect
96. #10622852C22semidirect
97. #10622846C22semidirect
98. #10622845C22semidirect
99. #10622787C22semidirect
100. #10622785C22semidirect
101. #10622785C22semidirect
102. #10622784C22semidirect
103. #10622778C22semidirect
104. #10622778C22semidirect
105. #10622769C22semidirect
106. #10622769C22semidirect
107. D8×Dic11C22semidirect
108. #10622747C22semidirect
109. #10622744C22semidirect
110. #10622741C22semidirect
111. #10622727C22semidirect
112. C2×#66885C22semidirect
113. C8×C22⋊D11C22semidirect
114. #10622703C22semidirect
115. #10622695C22semidirect
116. #10622680C22semidirect
117. #10622679C22semidirect
118. #10622665C22semidirect
119. #10622664C22semidirect
120. #10622658C22semidirect
121. #10622657C22semidirect
122. #10622652C22semidirect
123. #10622651C22semidirect
124. #10622649C22semidirect
125. #10622649C22semidirect
126. #10622631C22semidirect
127. #10622628C22semidirect
128. #10622627C22semidirect
129. #10622624C22semidirect
130. #10622622C22semidirect
131. #10622616C22semidirect
132. #10622614C22semidirect
133. #10622581C22semidirect
134. C2×#66873C22semidirect
135. #10622504C22semidirect
136. #10622499C22semidirect
137. #10622495C22semidirect
138. D11×#107C22semidirect
139. #10622484C22semidirect
140. #10622479C22semidirect
141. #10622479C22semidirect
142. #10622477C22semidirect
143. #10622476C22semidirect
144. #10622474C22semidirect
145. D11×#106C22semidirect
146. #10622465C22semidirect
147. #10622461C22semidirect
148. #10622460C22semidirect
149. #10622449C22semidirect
150. D11×C4⋊C8C22semidirect
151. #10622429C22semidirect
152. #10622427C22semidirect
153. #10622427C22semidirect
154. #10622426C22semidirect
155. #10622423C22semidirect
156. #10622423C22semidirect
157. #10622422C22semidirect
158. #10622418C22semidirect
159. #10622417C22semidirect
160. #10622417C22semidirect
161. #10622417C22semidirect
162. #10622417C22semidirect
163. #10622416C22semidirect
164. #10622416C22semidirect
165. #10622416C22semidirect
166. #10622416C22semidirect
167. #10622416C22semidirect
168. #10622416C22semidirect
169. #10622413C22semidirect
170. #10622413C22semidirect
171. #10622413C22semidirect
172. #10622413C22semidirect
173. #10622411C22semidirect
174. #10622411C22semidirect
175. #10622395C22semidirect
176. #10622389C22semidirect
177. #10622389C22semidirect
178. #10622388C22semidirect
179. #10622384C22semidirect
181. #10622383C22semidirect
182. #10622383C22semidirect
185. D11×#102C22semidirect
186. D11×#102C22semidirect
187. #10622379C22semidirect
188. #10622376C22semidirect
189. #10622371C22semidirect
190. #10622369C22semidirect
191. #10622350C22semidirect
192. #10622349C22semidirect
193. #10622344C22semidirect
194. #10622344C22semidirect
195. #10622342C22semidirect
196. #10622340C22semidirect
197. #10622340C22semidirect
198. (C22⋊D11)⋊C8C22semidirect
199. #10622326C22semidirect
200. #10622323C22semidirect
201. #10622320C22semidirect
202. #10622319C22semidirect
735. #3307D11semidirect
903. #553C2×D11semidirect
940. #491C2×D11semidirect
950. #485C2×D11semidirect
954. #483C2×D11semidirect
970. #478C2×D11semidirect
978. #468C2×D11semidirect
986. #465C2×D11semidirect
992. #461C2×D11semidirect
1005. #449C2×D11semidirect
1006. #449C2×D11semidirect
1012. #442C2×D11semidirect
1024. #435C2×D11semidirect
1044. #417C2×D11semidirect
1050. #416C2×D11semidirect
1649. C11#61201semidirect

Maximal subgroups

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

subgroupindex
#130825342
#130823742
#130808332
#130808302
#130808232
#130808102
#130807622
#130807512
#130807122
#130807112
#130806392
#130806342
#130805992
#130804722
#130804592
#130804522
#130804492
#130790182
#130786002
#130785972
D11×#4782
#130782842
#130782732
#130780722
#130779182
#130774272
#130773572
#130771402
#130771382
C11×#33072
#6120111