Finite Group Databasebeta

← #15639800

Subgroups — #15639800

Order 2816.

2114 conjugacy classes of subgroups.

The subgroup lattice has 1918 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082867C211yesmaximal, characteristic, complemented
2#13082284C211yesmaximal, characteristic, complemented
3#13080889C211yesmaximal, characteristic, complemented
4#13080862C211yesmaximal, characteristic, complemented
5#13080763C211yesmaximal, characteristic, complemented
6#13080742C211yesmaximal, characteristic, complemented
7#13080644C211yesmaximal, characteristic, complemented
8#13080626C211yesmaximal, characteristic, complemented
9#13080461C211yesmaximal, characteristic, complemented
10#13080453C211yesmaximal, characteristic, complemented
11#13080340C211yesmaximal, characteristic, complemented
12#13080235C211yesmaximal, characteristic, complemented
13#13080209C211yesmaximal, characteristic, complemented
14#13080196C211yesmaximal, characteristic, complemented
15#13080171C211yesmaximal, characteristic, complemented
16#13080157C211yesmaximal, characteristic, complemented
17#13080134C211yesmaximal, characteristic, complemented
18#13079687C211yesmaximal, characteristic, complemented
19#13079659C211yesmaximal, characteristic, complemented
20#13079525C211yesmaximal, characteristic, complemented
21#13079512C211yesmaximal, characteristic, complemented
22#13079428C211yesmaximal, characteristic, complemented
23#13079376C211yesmaximal, characteristic, complemented
24#13078836C211yesmaximal, characteristic, complemented
25#13078814C211yesmaximal, characteristic, complemented
26#13077918C211yesmaximal, characteristic, complemented
27#13077916C211yesmaximal, characteristic, complemented
28#13077854C211yesmaximal, characteristic, complemented
29#13077830C211yesmaximal, characteristic, complemented
30#13077658C211yesmaximal, characteristic, complemented
31C11×#3287C211yesmaximal, characteristic, complemented
32C2×#67042C2211yescharacteristic
33C2×#41×D11C2211yescharacteristic
34C2×C11×#135C2211yescharacteristic, complemented
35C2×C11×#135C2211yescharacteristic, complemented
36C11×#550C2211yescharacteristic
37C11×#550C2211yescharacteristic, complemented
38#10623365C2211yescharacteristic
39#10623364C2211yescharacteristic, complemented
40#10623362C2211yescharacteristic
41#10623359C2211yescharacteristic, complemented
42#10623355C2211yescharacteristic, complemented
43#10623355C2211yescharacteristic, complemented
44C2×#67003C2211yescharacteristic, complemented
45C2×#67002C2211yescharacteristic, complemented
46C2×#66969C2211yescharacteristic, complemented
47C2×#66968C2211yescharacteristic, complemented
48C2×#66964C2211yescharacteristic, complemented
49C2×#66964C2211yescharacteristic, complemented
50#10623251—21no—
51#10623250—21no—
52#10623250C2211yescharacteristic, complemented
53#10623249C2211yescharacteristic, complemented
54#10623248—21no—
55#10623248C2211yescharacteristic
56#10623246—21no—
57#10623246C2211yescharacteristic
58#10623151—21no—
59#10623149C2211yescharacteristic, complemented
60#10623146—21no—
61#10623145C2211yescharacteristic, complemented
62#10623143—21no—
63#10623143C2211yescharacteristic
64#10623140—21no—
65#10623140C2211yescharacteristic
66#10623139—21no—
67#10623139C2211yescharacteristic
68#10623139C2211yescharacteristic, complemented
69#10623137C2211yescharacteristic, complemented
70D11×#121—21no—
71D11×#121C2211yescharacteristic
72#10623133—21no—
73#10623132—21no—
74#10623114C2211yescharacteristic, complemented
75#10623112C2211yescharacteristic, complemented
76#10623107C2211yescharacteristic
77#10623105C2211yescharacteristic
78#10623095—21no—
79#10623081—21no—
80#10623081C2211yescharacteristic
81#10623078—21no—
82#10623078C2211yescharacteristic
83#10623072C2211yescharacteristic, complemented
84#10623071—21no—
85C11×#493C2211yescharacteristic, complemented
86C11×#466C2211yescharacteristic, complemented
87C11×#466C2211yescharacteristic, complemented
88C11×#460C2211yescharacteristic, complemented
89C11×#460C2211yescharacteristic, complemented
90C11×#449C2211yescharacteristic, complemented
91C11×#449C2211yescharacteristic, complemented
92C11×#449C2211yescharacteristic, complemented
93C11×#449C2211yescharacteristic, complemented
94C4×C11×Q16C2211yescharacteristic, complemented
95C8×D4×C11C2211yescharacteristic, complemented
96#10622852C2211yescharacteristic, complemented
97#10622852C2211yescharacteristic, complemented
98#10622852C2211yescharacteristic, complemented
99#10622851C2211yescharacteristic, complemented
100#10622846C2211yescharacteristic, complemented
101#10622845C2211yescharacteristic, complemented
102#10622800C2211yescharacteristic
103#10622800C2211yescharacteristic, complemented
104#10622799C2211yescharacteristic, complemented
105#10622795C2211yescharacteristic, complemented
106#10622788C2211yescharacteristic, complemented
107#10622787C2211yescharacteristic, complemented
108#10622786C2211yescharacteristic, complemented
109#10622785C2211yescharacteristic
110#10622785C2211yescharacteristic
111#10622785C2211yescharacteristic, complemented
112#10622784C2211yescharacteristic, complemented
113#10622783C2211yescharacteristic, complemented
114#10622782C2211yescharacteristic, complemented
115#10622782C2211yescharacteristic, complemented
116#10622782C2211yescharacteristic, complemented
117#10622780C2211yescharacteristic, complemented
118#10622777C2211yescharacteristic, complemented
119SD16×Dic11C2211yescharacteristic, complemented
120#10622772C2211yescharacteristic, complemented
121#10622772C2211yescharacteristic, complemented
122#10622771C2211yescharacteristic, complemented
123#10622771C2211yescharacteristic, complemented
124#10622771C2211yescharacteristic, complemented
125#10622771C2211yescharacteristic, complemented
126#10622769C2211yescharacteristic, complemented
127#10622769C2211yescharacteristic, complemented
128#10622769C2211yescharacteristic, complemented
129#10622769C2211yescharacteristic, complemented
130#10622766C2211yescharacteristic, complemented
131#10622766C2211yescharacteristic, complemented
132#10622763C2211yescharacteristic, complemented
133#10622763C2211yescharacteristic, complemented
134#10622729C2211yescharacteristic, complemented
135#10622727C2211yescharacteristic, complemented
136#10622726C2211yescharacteristic, complemented
137C2×#66885C2211yescharacteristic, complemented
138#10622724C2211yescharacteristic, complemented
139#10622723C2211yescharacteristic, complemented
140C8×C22⋊D11C2211yescharacteristic, complemented
141C2×(C2×D11)⋊C8C2211yescharacteristic, complemented
142#10622688C2211yescharacteristic, complemented
143#10622687C2211yescharacteristic, complemented
144#10622685C2211yescharacteristic, complemented
145#10622684C2211yescharacteristic, complemented
146#10622655C2211yescharacteristic, complemented
147#10622655C2211yescharacteristic, complemented
148#10622654C2211yescharacteristic, complemented
149#10622651C2211yescharacteristic, complemented
150#10622650C2211yescharacteristic, complemented
151#10622649C2211yescharacteristic, complemented
152#10622648C2211yescharacteristic, complemented
153#10622647C2211yescharacteristic, complemented
154#10622643C2211yescharacteristic, complemented
155#10622641C2211yescharacteristic, complemented
156#10622639C2211yescharacteristic, complemented
157#10622635C2211yescharacteristic, complemented
158#10622624C2211yescharacteristic, complemented
159#10622504C2211yescharacteristic, complemented
160#10622498C2211yescharacteristic, complemented
161#10622497C2211yescharacteristic, complemented
162#10622497C2211yescharacteristic, complemented
163#10622460C2211yescharacteristic, complemented
164#10622458C2211yescharacteristic, complemented
165#10622453C2211yescharacteristic, complemented
166#10622449C2211yescharacteristic, complemented
167#10622431C2211yescharacteristic, complemented
168#10622429C2211yescharacteristic, complemented
169#10622425C2211yescharacteristic, complemented
170#10622423C2211yescharacteristic
171#10622418C2211yescharacteristic, complemented
172#10622416C2211yescharacteristic, complemented
173#10622415C2211yescharacteristic, complemented
174#10622412C2211yescharacteristic, complemented
175#10622398C2211yescharacteristic, complemented
176#10622396C2211yescharacteristic, complemented
177#10622396C2211yescharacteristic, complemented
178#10622395C2211yescharacteristic, complemented
179#10622394C2211yescharacteristic, complemented
180#10622392C2211yescharacteristic, complemented
181#10622391C2211yescharacteristic, complemented
182#10622390C2211yescharacteristic, complemented
183#10622389C2211yescharacteristic, complemented
184#10622387C2211yescharacteristic, complemented
185#10622387C2211yescharacteristic, complemented
186#10622383C2211yescharacteristic, complemented
187D11×#102C2211yescharacteristic, complemented
188#10622381C2211yescharacteristic, complemented
189#10622377C2211yescharacteristic, complemented
190#10622369C2211yescharacteristic, complemented
191#10622350C2211yescharacteristic, complemented
192#10622346C2211yescharacteristic, complemented
193#10622344C2211yescharacteristic, complemented
194#10622343C2211yescharacteristic, complemented
195#10622342C2211yescharacteristic, complemented
196#10622340C2211yescharacteristic, complemented
197#10622339C2211yescharacteristic, complemented
198#10622334C2211yescharacteristic, complemented
199#10622310C2211yescharacteristic, complemented
200C4×#4314C2211yescharacteristic, complemented
201#10622303C2211yescharacteristic, complemented
202#10622301C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C2×C11×#41C2311yescharacteristic
205C2×C11×#41C2311yescharacteristic
206C2×C11×#41C2311yescharacteristic
207#67042—42no—
208#67042—42no—
209#41×D11—42no—
210#41×D11—42no—
211C2×#4343C2311yescharacteristic
212C2×#4343C2311yescharacteristic
213C2×Q8×D11C2311yescharacteristic
214C2×#4341—21no—
215C2×#4341C2311yescharacteristic
216C2×#4341C2311yescharacteristic
217C2×#4341C2311yescharacteristic
218C2×D4×D11—21no—
219C2×D4×D11—21no—
220C2×D4×D11—21no—
221C2×D4×D11—21no—
222C2×D4×D11—21no—
223C2×D4×D11—21no—
224C2×D4×D11C2311yescharacteristic
225C2×D4×D11C2311yescharacteristic
226C2×D4×D11C2311yescharacteristic
227C2×#4339—21no—
228C2×#4339—21no—
229C2×#4339C2311yescharacteristic
230C2×#4339C2311yescharacteristic
231C22×D44—21no—
232C22×D44C2311yescharacteristic
233C22×C4×D11—21no—
234C22×C4×D11C2311yescharacteristic
235C11×#135—42no—
236C11×#135—42no—
237C2×C11×Q16C2311yescharacteristic
238C2×C11×SD16C2311yescharacteristic
239C2×C11×SD16C2311yescharacteristic
240C2×C11×SD16C2311yescharacteristic
241C2×C11×SD16C2311yescharacteristic
242C2×C11×D8C2311yescharacteristic
243C2×C11×D8C2311yescharacteristic
244C2×C11×D8C2311yescharacteristic
245C2×C11×D8C2311yescharacteristic
246C22×C8×C11C2311yescharacteristic
247C22×C8×C11C2311yescharacteristic
248C11×#127—21no—
249C11×#127—21no—
250C11×#127C2311yescharacteristic
251C11×#127C2311yescharacteristic
252C11×#121—21no—
253C11×#121—21no—
254C11×#121—21no—
255C11×#121—21no—
256C11×#121C2311yescharacteristic
257C11×#121C2311yescharacteristic
258C11×#121C2311yescharacteristic
259C11×#121C2311yescharacteristic
260C4×Q8×C11C2311yescharacteristic
261C4×Q8×C11C2311yescharacteristic
262C4×D4×C11—21no—
263C4×D4×C11—21no—
264C4×D4×C11C2311yescharacteristic
265#67003—42no—
266#67002—42no—
267#66999C2311yescharacteristic
268#66999C2311yescharacteristic
269#66999C2311yescharacteristic
270Q8×Dic11C2311yescharacteristic
271#66997C2311yescharacteristic
272C2×#4326C2311yescharacteristic
273C2×#4326C2311yescharacteristic
274C2×#4325C2311yescharacteristic
275C2×#4325C2311yescharacteristic
276#66993—21no—
277#66993—21no—
278#66993C2311yescharacteristic
279#66992—21no—
280#66992—21no—
281#66992—21no—
282#66992—21no—
283#66992—21no—
284#66992—21no—
285#66992—21no—
286#66992—21no—
287#66992—21no—
288#66992—21no—
289#66992—21no—
290#66992—21no—
291#66992—21no—
292#66992—21no—
293#66992D411yescharacteristic
294#66991—21no—
295#66991—21no—
296#66991—21no—
297#66991—21no—
298#66991—21no—
299#66991—21no—
300#66991—21no—
301#66991C2311yescharacteristic
302#66991C2311yescharacteristic
303#66991C2311yescharacteristic
304#66991C2311yescharacteristic
305#66991C2311yescharacteristic
306#66991C2311yescharacteristic
307#66990—21no—
308#66990—21no—
309#66990—21no—
310#66990—21no—
311#66990—21no—
312#66990—21no—
313#66990—21no—
314#66990—21no—
315#66990—21no—
316#66990D411yescharacteristic
317#66989—21no—
318#66989C2311yescharacteristic
319#66988—21no—
320#66988—21no—
321#66988—21no—
322#66988—21no—
323#66988—21no—
324#66988—21no—
325#66988—21no—
326D4×Dic11—21no—
327D4×Dic11—21no—
328D4×Dic11—21no—
329D4×Dic11C2311yescharacteristic
330D4×Dic11C2311yescharacteristic
331C2×#4324C2311yescharacteristic
332C2×#4324C2311yescharacteristic
333C2×#4324C2311yescharacteristic
334C2×#4324C2311yescharacteristic
335C2×#4323C2311yescharacteristic
336C2×#4323C2311yescharacteristic
337C2×#4323C2311yescharacteristic
338C2×#4323C2311yescharacteristic
339#66983—21no—
340#66983—21no—
341#66983C2311yescharacteristic
342#66982—21no—
343#66982—21no—
344C4×C22⋊D11—21no—
345C4×C22⋊D11—21no—
346C4×C22⋊D11—21no—
347C4×C22⋊D11—21no—
348C4×C22⋊D11C2311yescharacteristic
349C4×C22⋊D11C2311yescharacteristic
350#66979C2311yescharacteristic
351C2×C4⋊Dic11C2311yescharacteristic
352#66977—21no—
353#66977—21no—
354#66977C2311yescharacteristic
355#66977C2311yescharacteristic
356#66977C2311yescharacteristic
357C2×Dic11⋊C4—21no—
358C2×Dic11⋊C4—21no—
359C2×#4318C2311yescharacteristic
360C22×C11⋊C8C2311yescharacteristic
361#66969—42no—
362#66968—42no—
363#66964—42no—
364#66964—42no—
365C2×Dic44C2311yescharacteristic
366C2×#4314C2311yescharacteristic
367C2×#4314C2311yescharacteristic
368C2×#4313C2311yescharacteristic
369C2×#4313C2311yescharacteristic
370C2×#4313C2311yescharacteristic
371C2×C8×D11C2311yescharacteristic
372#66951—21no—
373#66950—21no—
374#66950C2311yescharacteristic
375#66950C2311yescharacteristic
376#66949D411yescharacteristic
377#66948—21no—
378#66948C2311yescharacteristic
379#66947—21no—
380#66947—21no—
381#66947D411yescharacteristic
382#66946—21no—
383#66946C2311yescharacteristic
384#66945C2311yescharacteristic
385C4⋊C4×D11—21no—
386C4⋊C4×D11C2311yescharacteristic
387C4⋊C4×D11C2311yescharacteristic
388#66943C2311yescharacteristic
389#66942—21no—
390#66942—21no—
391#66942—21no—
392#66939—21no—
393#66937—21no—
394#66937—21no—
395#66937—21no—
396#66937—21no—
397#66937—21no—
398#66937D411yescharacteristic
399#66936—21no—
400#66936—21no—
401#66936D411yescharacteristic
402#66935—21no—
403#66935D411yescharacteristic
404(C22⋊D11)⋊C4—21no—
405(C22⋊D11)⋊C4—21no—
406C22⋊C4×D11—21no—
407C22⋊C4×D11—21no—
408C22⋊C4×D11—21no—
409#66932—21no—
410#66932—21no—
411#66932—21no—
412#66931—21no—
413#66931—21no—
414#66931D411yescharacteristic
415#66930—21no—
416#66929—21no—
417#66929—21no—
418#66928—21no—
419#66928C2311yescharacteristic
420C4×D44—21no—
421C4×D44—21no—
422C4×D44C2311yescharacteristic
423C4×D44C2311yescharacteristic
424#66925—21no—
425#66925—21no—
426#66925C2311yescharacteristic
427#66923—21no—
428#66923C2311yescharacteristic
429C4×Dic22C2311yescharacteristic
430C11×#107C2311yescharacteristic
431C11×C4⋊C8C2311yescharacteristic
432C11×#103C2311yescharacteristic
433C11×#103C2311yescharacteristic
434C11×#102C2311yescharacteristic
435C11×#102C2311yescharacteristic
436C11×#102C2311yescharacteristic
437C11×#102C2311yescharacteristic
438C11×C22⋊C8C2311yescharacteristic
439C11×C22⋊C8C2311yescharacteristic
440C4×C8×C11C2311yescharacteristic
441#66899C2311yescharacteristic
442#66899C2311yescharacteristic
443#66899C2311yescharacteristic
444#66899C2311yescharacteristic
445#66896C2311yescharacteristic
446#66896C2311yescharacteristic
447#66896C2311yescharacteristic
448#66896C2311yescharacteristic
449#66896C2311yescharacteristic
450#66896C2311yescharacteristic
451#66896C2311yescharacteristic
452#66896C2311yescharacteristic
453C22⋊(C11⋊C8)C2311yescharacteristic
454C22⋊(C11⋊C8)C2311yescharacteristic
455#66885C2311yescharacteristic
456#66885C2311yescharacteristic
457#66885C2311yescharacteristic
458#66885C2311yescharacteristic
459#66885C2311yescharacteristic
460#66885C2311yescharacteristic
461(C2×D11)⋊C8C2311yescharacteristic
462(C2×D11)⋊C8C2311yescharacteristic
463(C2×D11)⋊C8C2311yescharacteristic
464(C2×D11)⋊C8C2311yescharacteristic
465(C2×D11)⋊C8C2311yescharacteristic
466(C2×D11)⋊C8C2311yescharacteristic
467(C2×D11)⋊C8C2311yescharacteristic
468(C2×D11)⋊C8C2311yescharacteristic
469#66882C2311yescharacteristic
470#66881C2311yescharacteristic
471#66881C2311yescharacteristic
472#66880C2311yescharacteristic
473#66880C2311yescharacteristic
474#66880C2311yescharacteristic
475#66880C2311yescharacteristic
476#66879C2311yescharacteristic
477Dic11⋊C8C2311yescharacteristic
478Dic11⋊C8C2311yescharacteristic
479C8×Dic11C2311yescharacteristic
480#66874C2311yescharacteristic
481#66874C2311yescharacteristic
482#66873C2311yescharacteristic
483#66873C2311yescharacteristic
484#66872C2311yescharacteristic
485#66872C2311yescharacteristic
486#66871C2311yescharacteristic
487#66871C2311yescharacteristic
488C4⋊(C11⋊C8)C2311yescharacteristic
489#66867C2311yescharacteristic
490#61628—111nomaximal, Sylow
491C23×D11—21no—
492C23×D11—21no—
493C23×D11—21no—
494C23×D11—21no—
495C23×D11C2×D411yescharacteristic
496C11×#41—22no—
497C11×#41—22no—
498C11×#41—41no—
499C11×#41—41no—
500C11×#41—41no—
501C11×#41—41no—
502C11×#41—41no—
503C11×#41—41no—
504C2×Q8×C11C2411yescharacteristic
505C2×Q8×C11C2411yescharacteristic
506C2×D4×C11—21no—
507C2×D4×C11—21no—
508C2×D4×C11—21no—
509C2×D4×C11—21no—
510C2×D4×C11—21no—
511C2×D4×C11—21no—
512C2×D4×C11—21no—
513C2×D4×C11—21no—
514C2×D4×C11—21no—
515C2×D4×C11—21no—
516C2×D4×C11—21no—
517C2×D4×C11—21no—
518C2×D4×C11C2×D411yescharacteristic
519C2×D4×C11C2411yescharacteristic
520C2×D4×C11C2411yescharacteristic
521C2×D4×C11C2411yescharacteristic
522C2×D4×C11C2411yescharacteristic
523C22×C4×C11—21no—
524C22×C4×C11—21no—
525C22×C4×C11—21no—
526C22×C4×C11—21no—
527C22×C4×C11C2411yescharacteristic
528C22×C4×C11C2411yescharacteristic
529C2×C22⋊D11—21no—
530C2×C22⋊D11—21no—
531C2×C22⋊D11—21no—
532C2×C22⋊D11—21no—
533C2×C22⋊D11—21no—
534C2×C22⋊D11—21no—
535C2×C22⋊D11—21no—
536C2×C22⋊D11—21no—
537C2×C22⋊D11—21no—
538C2×C22⋊D11—21no—
539C2×C22⋊D11—21no—
540C2×C22⋊D11—21no—
541C2×C22⋊D11—21no—
542C2×C22⋊D11—21no—
543C2×C22⋊D11—21no—
544C2×C22⋊D11—21no—
545C2×C22⋊D11C2×D411yescharacteristic
546C2×C22⋊D11C2×D411yescharacteristic
547C2×C22⋊D11C2×D411yescharacteristic
548C2×C22⋊D11C2×D411yescharacteristic
549C22×Dic11—21no—
550C22×Dic11—21no—
551C22×Dic11—21no—
552C22×Dic11—21no—
553C22×Dic11—21no—
554C22×Dic11—21no—
555C22×Dic11C2×D411yescharacteristic
556#4343—22no—
557#4343—22no—
558#4343—22no—
559#4343—41no—
560Q8×D11—22no—
561Q8×D11—41no—
562#4341—41no—
563#4341—41no—
564#4341—41no—
565#4341—41no—
566#4341—41no—
567#4341—41no—
568#4341—44no—
569D4×D11—22no—
570D4×D11—22no—
571D4×D11—41no—
572D4×D11—41no—
573D4×D11—41no—
574D4×D11—41no—
575D4×D11—44no—
576D4×D11—44no—
577D4×D11—44no—
578D4×D11—82no—
579D4×D11—82no—
580D4×D11—82no—
581#4339—22no—
582#4339—41no—
583#4339—41no—
584#4339—41no—
585#4339—44no—
586#4339—44no—
587C2×D44—21no—
588C2×D44—21no—
589C2×D44—21no—
590C2×D44—22no—
591C2×D44—21no—
592C2×D44—41no—
593C2×D44—44no—
594C2×D44C2×D411yescharacteristic
595C2×D44C2×D411yescharacteristic
596C2×D44C2411yescharacteristic
597C2×D44C2411yescharacteristic
598C2×C4×D11—21no—
599C2×C4×D11—21no—
600C2×C4×D11—21no—
601C2×C4×D11—21no—
602C2×C4×D11—21no—
603C2×C4×D11—21no—
604C2×C4×D11—21no—
605C2×C4×D11—21no—
606C2×C4×D11—41no—
607C2×C4×D11—41no—
608C2×C4×D11—44no—
609C2×C4×D11C2×D411yescharacteristic
610C2×C4×D11C2×D411yescharacteristic
611C2×C4×D11C2411yescharacteristic
612C2×C4×D11C2411yescharacteristic
613C2×C4×D11C2411yescharacteristic
614C2×Dic22—21no—
615C2×Dic22C2×D411yescharacteristic
616C2×Dic22C2411yescharacteristic
617C2×Dic22C2411yescharacteristic
618C11×Q16—22no—
619C11×SD16—22no—
620C11×SD16—22no—
621C11×SD16—41no—
622C11×SD16—41no—
623C11×D8—41no—
624C11×D8—41no—
625C11×D8—41no—
626C11×D8—41no—
627C2×C8×C11—41no—
628C2×C8×C11—41no—
629C2×C8×C11C2411yescharacteristic
630C2×C8×C11C2411yescharacteristic
631C2×C8×C11C2411yescharacteristic
632C2×C8×C11C2411yescharacteristic
633C11×C4⋊C4—21no—
634C11×C4⋊C4—21no—
635C11×C4⋊C4C2×D411yescharacteristic
636C11×C4⋊C4C2411yescharacteristic
637C11×C4⋊C4C2411yescharacteristic
638C11×C22⋊C4—21no—
639C11×C22⋊C4—21no—
640C11×C22⋊C4—21no—
641C11×C22⋊C4—21no—
642C11×C22⋊C4C2×D411yescharacteristic
643C11×C22⋊C4C2×D411yescharacteristic
644C42×C11—21no—
645C42×C11—21no—
646C42×C11C2411yescharacteristic
647C22⋊Dic11—21no—
648C22⋊Dic11—21no—
649C22⋊Dic11—21no—
650C22⋊Dic11—21no—
651C22⋊Dic11—21no—
652C22⋊Dic11—21no—
653C22⋊Dic11—21no—
654C22⋊Dic11—21no—
655C22⋊Dic11—21no—
656C22⋊Dic11—21no—
657C22⋊Dic11—21no—
658C22⋊Dic11—21no—
659C22⋊Dic11—21no—
660C22⋊Dic11—21no—
661C22⋊Dic11C2×D411yescharacteristic
662C22⋊Dic11C2×D411yescharacteristic
663#4326—22no—
664#4326—41no—
665#4325—22no—
666#4325—41no—
667#4324—41no—
668#4324—41no—
669#4324—41no—
670#4324—41no—
671#4323—22no—
672#4323—22no—
673#4323—41no—
674#4323—41no—
675(C2×D11)⋊C4—21no—
676(C2×D11)⋊C4—21no—
677(C2×D11)⋊C4—21no—
678(C2×D11)⋊C4—21no—
679(C2×D11)⋊C4—21no—
680(C2×D11)⋊C4—21no—
681(C2×D11)⋊C4—21no—
682(C2×D11)⋊C4—21no—
683(C2×D11)⋊C4—21no—
684(C2×D11)⋊C4—21no—
685(C2×D11)⋊C4—21no—
686(C2×D11)⋊C4—21no—
687(C2×D11)⋊C4C2×D411yescharacteristic
688(C2×D11)⋊C4C2×D411yescharacteristic
689(C2×D11)⋊C4C2×D411yescharacteristic
690(C2×D11)⋊C4C2×D411yescharacteristic
691(C2×D11)⋊C4C2×D411yescharacteristic
692(C2×D11)⋊C4C2×D411yescharacteristic
693C4⋊Dic11—21no—
694C4⋊Dic11—21no—
695C4⋊Dic11—21no—
696C4⋊Dic11—21no—
697C4⋊Dic11—21no—
698C4⋊Dic11C2×D411yescharacteristic
699C4⋊Dic11C2411yescharacteristic
700C4⋊Dic11C2411yescharacteristic
701C4⋊Dic11C2411yescharacteristic
702C4⋊Dic11C2411yescharacteristic
703Dic11⋊C4—21no—
704Dic11⋊C4—21no—
705Dic11⋊C4—21no—
706Dic11⋊C4—21no—
707Dic11⋊C4—21no—
708Dic11⋊C4—21no—
709Dic11⋊C4—21no—
710Dic11⋊C4—21no—
711Dic11⋊C4—21no—
712Dic11⋊C4—21no—
713Dic11⋊C4—21no—
714Dic11⋊C4—21no—
715Dic11⋊C4—21no—
716Dic11⋊C4—21no—
717Dic11⋊C4C2×D411yescharacteristic
718Dic11⋊C4C2×D411yescharacteristic
719Dic11⋊C4C2×D411yescharacteristic
720Dic11⋊C4C2×D411yescharacteristic
721C4×Dic11—21no—
722C4×Dic11—21no—
723C4×Dic11—21no—
724C4×Dic11—21no—
725C4×Dic11C2411yescharacteristic
726#4318—41no—
727C2×C11⋊C8—41no—
728C2×C11⋊C8C2411yescharacteristic
729C2×C11⋊C8C2411yescharacteristic
730C2×C11⋊C8C2411yescharacteristic
731C2×C11⋊C8C2411yescharacteristic
732Dic44—41no—
733#4314—22no—
734#4314—41no—
735#4313—41no—
736#4313—41no—
737#4313—41no—
738C8×D11—41no—
739#3539—111no—
740#3488—111no—
741#3327—111no—
742#3326—111no—
743#3318—111no—
744#3317—111no—
745#3310—111no—
746#3309—111no—
747#3297—111no—
748#3296—111no—
749#3287D1111yescharacteristic, complemented
750#3284—111no—
751#3274—111no—
752#3272—111no—
753#3271—111no—
754#3269—111no—
755#3268—111no—
756#3267—111no—
757#3222—111no—
758#3220—111no—
759#3204—111no—
760#3203—111no—
761#3194—111no—
762#3188—111no—
763#3120—111no—
764#3119—111no—
765#3012—111no—
766#3012—111no—
767#3005—111no—
768#3002—111no—
769#2976—111no—
770C23×C11—21no—
771C23×C11—21no—
772C23×C11—21no—
773C23×C11—21no—
774C23×C11C22×D411yescharacteristic
775C23×C11C22×D411yescharacteristic
776C22×D11—21no—
777C22×D11—21no—
778C22×D11—41no—
779C22×D11—41no—
780C22×D11—41no—
781C22×D11—42no—
782C22×D11—42no—
783C22×D11—42no—
784C22×D11—42no—
785C22×D11—42no—
786C22×D11—81no—
787C22×D11—81no—
788C22×D11—81no—
789C22×D11—81no—
790C22×D11—81no—
791C22×D11—81no—
792C22×D11—81no—
793C22×D11C22×D411yescharacteristic
794C22×D11C22×D411yescharacteristic
795C22×D11C22×D411yescharacteristic
796Q8×C11—21no—
797Q8×C11—21no—
798Q8×C11—21no—
799Q8×C11H(5,𝔽2)12yes—
800D4×C11—21no—
801D4×C11—21no—
802D4×C11—21no—
803D4×C11—21no—
804D4×C11—21no—
805D4×C11—21no—
806D4×C11—21no—
807D4×C11—21no—
808D4×C11—41no—
809D4×C11—42no—
810D4×C11—42no—
811D4×C11—81no—
812D4×C11—81no—
813D4×C11—81no—
814D4×C11—81no—
815D4×C11—81no—
816D4×C11—81no—
817D4×C11—81no—
818D4×C11—81no—
819D4×C11—81no—
820D4×C11—81no—
821C2×C4×C11—21no—
822C2×C4×C11—21no—
823C2×C4×C11—21no—
824C2×C4×C11—21no—
825C2×C4×C11—21no—
826C2×C4×C11—21no—
827C2×C4×C11—21no—
828C2×C4×C11—21no—
829C2×C4×C11—42no—
830C2×C4×C11—42no—
831C2×C4×C11—81no—
832C2×C4×C11—81no—
833C2×C4×C11C22×D411yescharacteristic
834C2×C4×C11C22×D411yescharacteristic
835C2×C4×C11C22×D411yescharacteristic
836C2×C4×C11C22×D411yescharacteristic
837C2×C4×C11C2511yescharacteristic
838C22⋊D11—41no—
839C22⋊D11—41no—
840C22⋊D11—41no—
841C22⋊D11—41no—
842C22⋊D11—42no—
843C22⋊D11—42no—
844C22⋊D11—42no—
845C22⋊D11—42no—
846C22⋊D11—42no—
847C22⋊D11—42no—
848C22⋊D11—81no—
849C22⋊D11—81no—
850C22⋊D11—81no—
851C22⋊D11—81no—
852C22⋊D11—81no—
853C22⋊D11—81no—
854C22⋊D11—81no—
855C22⋊D11—81no—
856C22⋊D11—81no—
857C22⋊D11—81no—
858C2×Dic11—21no—
859C2×Dic11—21no—
860C2×Dic11—21no—
861C2×Dic11—21no—
862C2×Dic11—21no—
863C2×Dic11—21no—
864C2×Dic11—41no—
865C2×Dic11—42no—
866C2×Dic11—81no—
867C2×Dic11—81no—
868C2×Dic11—81no—
869C2×Dic11—81no—
870C2×Dic11—81no—
871C2×Dic11C22×D411yescharacteristic
872C2×Dic11C22×D411yescharacteristic
873C2×Dic11C22×D411yescharacteristic
874C2×Dic11C22×D411yescharacteristic
875C2×Dic11C22×D411yescharacteristic
876D44—24no—
877D44—21no—
878D44—21no—
879D44—21no—
880D44—41no—
881D44—41no—
882D44—42no—
883D44—42no—
884D44—42no—
885D44H(5,𝔽2)12yes—
886C4×D11—24no—
887C4×D11—21no—
888C4×D11—21no—
889C4×D11—21no—
890C4×D11—21no—
891C4×D11—21no—
892C4×D11—21no—
893C4×D11—41no—
894C4×D11—41no—
895C4×D11—42no—
896C4×D11—42no—
897C4×D11—42no—
898C4×D11—81no—
899C4×D11—81no—
900C4×D11—81no—
901C4×D11—81no—
902Dic22—21no—
903Dic22—21no—
904Dic22—21no—
905Dic22—21no—
906Dic22—41no—
907Dic22—42no—
908C8×C11—21no—
909C8×C11—21no—
910C8×C11—21no—
911C8×C11—21no—
912C11⋊C8—21no—
913C11⋊C8—21no—
914C11⋊C8—21no—
915C11⋊C8—21no—
916C2×H(5,𝔽2)—111no—
917C22×#41—111no—
918C2×#137—111no—
919C2×AGL(1,ℤ/8)—111no—
920C2×AGL(1,ℤ/8)—111no—
921C2×AGL(1,ℤ/8)—111no—
922C2×#135—111no—
923C2×#135—111no—
924C2×#135C2×D1111yescharacteristic, complemented
925C2×#135C2×D1111yescharacteristic, complemented
926#560—221no—
927#560—221no—
928#553—111no—
929#553—111no—
930#553—221no—
931#553—221no—
932#552—111no—
933#552—111no—
934#550—111no—
935#550—111no—
936#550C2×D1111yescharacteristic
937#550C2×D1111yescharacteristic, complemented
938#548—111no—
939#548—111no—
940#547—111no—
941#547—111no—
942#546—111no—
943#546—111no—
944#546—221no—
945#546—221no—
946D42—111no—
947D42—111no—
948D42—221no—
949D42—221no—
950#541—111no—
951#540—111no—
952#540—221no—
953#540—221no—
954#539—221no—
955#539—221no—
956#537—111no—
957#537—111no—
958#537—111no—
959#537—221no—
960#535—111no—
961#535—221no—
962#525—111no—
963#525—111no—
964#525—111no—
965#525—221no—
966C2×#121—111no—
967C2×#121—221no—
968#520—111no—
969#497—111no—
970#496—111no—
971#493C2×D1111yescharacteristic, complemented
972#492—111no—
973#490—111no—
974#490—111no—
975#488—111no—
976#488—111no—
977#484—111no—
978#484—111no—
979#483—111no—
980#483—111no—
981#482—111no—
982#482—111no—
983#482—111no—
984#482—111no—
985#481—111no—
986#481—111no—
987#480—111no—
988#480—111no—
989#479—111no—
990#479—111no—
991#478—111no—
992#478—111no—
993#470—111no—
994#469—111no—
995#469—111no—
996#469—111no—
997#468—111no—
998#468—111no—
999#468—111no—
1000#468—111no—
1001#467—111no—
1002#466—111no—
1003#466C2×D1111yescharacteristic, complemented
1004#466C2×D1111yescharacteristic, complemented
1005#465—111no—
1006#465—111no—
1007#465—111no—
1008#465—111no—
1009#464—111no—
1010#464—111no—
1011#463—111no—
1012#463—111no—
1013#462—111no—
1014#461—111no—
1015#460—111no—
1016#460C2×D1111yescharacteristic, complemented
1017#460C2×D1111yescharacteristic, complemented
1018#459—111no—
1019#459—111no—
1020#459—111no—
1021#452—111no—
1022#452—111no—
1023#452—111no—
1024#452—111no—
1025#452—111no—
1026#452—111no—
1027#452—111no—
1028#452—111no—
1029#452—111no—
1030#452—111no—
1031#451—111no—
1032#450—111no—
1033#450—111no—
1034#450—111no—
1035#450—111no—
1036#450—111no—
1037#449—111no—
1038#449—111no—
1039#449—111no—
1040#449—111no—
1041#449—111no—
1042#449—111no—
1043#449—111no—
1044#449—111no—
1045#449—111no—
1046#449—111no—
1047#449C2×D1111yescharacteristic, complemented
1048#449C2×D1111yescharacteristic, complemented
1049#449C2×D1111yescharacteristic, complemented
1050#449C2×D1111yescharacteristic, complemented
1051#448—111no—
1052#447—111no—
1053#447—111no—
1054#447—111no—
1055#447—111no—
1056#447—111no—
1057#442—111no—
1058#441—111no—
1059#440—111no—
1060#440—111no—
1061C4×Q16C2×D1111yescharacteristic, complemented
1062C4×SD16—111no—
1063C4×SD16—111no—
1064C4×D8—111no—
1065#436—111no—
1066#436—111no—
1067#435—111no—
1068#435—111no—
1069#435—111no—
1070#435—111no—
1071C8×D4—111no—
1072C8×D4C2×D1111yescharacteristic, complemented
1073#433—111no—
1074#433—111no—
1075#419—111no—
1076#418—111no—
1077#417—111no—
1078#417—111no—
1079#416—111no—
1080#416—111no—
1081C2×#102—111no—
1082C2×#102—111no—
1083#408—111no—
1084#408—111no—
1085#407—111no—
1086C2×C22⋊C8—111no—
1087C22×C11—21no—
1088C22×C11—21no—
1089C22×C11—21no—
1090C22×C11—21no—
1091C22×C11—21no—
1092C22×C11—21no—
1093C22×C11—41no—
1094C22×C11—41no—
1095C22×C11—41no—
1096C22×C11—41no—
1097C22×C11—41no—
1098C22×C11—41no—
1099C22×C11—41no—
1100C22×C11—41no—
1101C22×C11—41no—
1102C22×C11—41no—
1103C22×C11—41no—
1104C22×C11—41no—
1105C22×C11C23×D411yescharacteristic
1106C2×D11—21no—
1107C2×D11—21no—
1108C2×D11—21no—
1109C2×D11—21no—
1110C2×D11—21no—
1111C2×D11—21no—
1112C2×D11—22no—
1113C2×D11—21no—
1114C2×D11—21no—
1115C2×D11—21no—
1116C2×D11—41no—
1117C2×D11—41no—
1118C2×D11—41no—
1119C2×D11—41no—
1120C2×D11—41no—
1121C2×D11—82no—
1122C2×D11—84no—
1123C2×D11—162no—
1124C2×D11—162no—
1125C2×D11—162no—
1126C4×C11—21no—
1127C4×C11—21no—
1128C4×C11—21no—
1129C4×C11—21no—
1130C4×C11—22no—
1131C4×C11—41no—
1132C4×C11—41no—
1133C4×C11—41no—
1134C4×C11C2×H(5,𝔽2)11yescharacteristic
1135C4×C11C2×H(5,𝔽2)11yescharacteristic
1136Dic11—21no—
1137Dic11—21no—
1138Dic11—21no—
1139Dic11—21no—
1140Dic11—21no—
1141Dic11—41no—
1142Dic11—41no—
1143Dic11—41no—
1144Dic11—41no—
1145Dic11—41no—
1146Dic11—41no—
1147H(5,𝔽2)—442no—
1148H(5,𝔽2)—442no—
1149C2×#41—111no—
1150C2×#41—111no—
1151C2×#41—111no—
1152C2×#41—111no—
1153C2×#41—111no—
1154C2×#41—111no—
1155C2×#41—111no—
1156C2×#41—221no—
1157C2×#41—221no—
1158C2×#41—221no—
1159C2×#41—442no—
1160C2×#41—442no—
1161C2×#41C22×D1111yescharacteristic
1162C2×#41C22×D1111yescharacteristic
1163C2×#41C22×D1111yescharacteristic
1164C2×#41C22×D1111yescharacteristic
1165C22×Q8—111no—
1166C22×D4—111no—
1167C22×D4—111no—
1168C22×D4—111no—
1169C22×D4—111no—
1170C22×D4—221no—
1171C22×D4—221no—
1172C22×D4—221no—
1173C22×D4—221no—
1174C22×D4—221no—
1175C22×D4—221no—
1176C22×D4—221no—
1177C23×C4—111no—
1178C23×C4—221no—
1179#137—442no—
1180AGL(1,ℤ/8)—442no—
1181AGL(1,ℤ/8)—442no—
1182AGL(1,ℤ/8)—442no—
1183#135—42no—
1184#135—42no—
1185#135—442no—
1186#135—442no—
1187C2×Q16—111no—
1188C2×Q16—111no—
1189C2×Q16—111no—
1190C2×Q16C22×D1111yescharacteristic
1191C2×SD16—111no—
1192C2×SD16—111no—
1193C2×SD16—111no—
1194C2×SD16—111no—
1195C2×SD16—111no—
1196C2×SD16—111no—
1197C2×SD16—111no—
1198C2×SD16—111no—
1199C2×SD16C22×D1111yescharacteristic
1200C2×SD16C22×D1111yescharacteristic
1201C2×SD16C22×D1111yescharacteristic
1202C2×SD16C22×D1111yescharacteristic
1203C2×D8—111no—
1204C2×D8—111no—
1205C2×D8—111no—
1206C2×D8—111no—
1207C2×D8C22×D1111yescharacteristic
1208C2×D8C22×D1111yescharacteristic
1209C2×D8C22×D1111yescharacteristic
1210C2×D8C22×D1111yescharacteristic
1211C2×M16—111no—
1212C2×M16—111no—
1213C2×M16—111no—
1214C2×M16—111no—
1215C22×C8—111no—
1216C22×C8—111no—
1217C22×C8C22×D1111yescharacteristic
1218C22×C8C22×D1111yescharacteristic
1219C4⋊Q8—111no—
1220#127—21no—
1221#127—21no—
1222#127—111no—
1223#127—221no—
1224#127—221no—
1225#127C22×D1111yescharacteristic
1226#127C22×D1111yescharacteristic
1227#126—221no—
1228#126—221no—
1229#126—221no—
1230#126—221no—
1231#126—221no—
1232#126—221no—
1233#125—111no—
1234#125—111no—
1235#125—221no—
1236#125—221no—
1237#125—221no—
1238#125—221no—
1239#124—111no—
1240#124—111no—
1241#124—221no—
1242#124—221no—
1243#123—111no—
1244#123—111no—
1245#123—221no—
1246#123—221no—
1247#123—221no—
1248#123—221no—
1249#123—221no—
1250#123—221no—
1251#123—221no—
1252#123—221no—
1253#123—221no—
1254#123—221no—
1255#123—221no—
1256#123—221no—
1257#123—221no—
1258#123—221no—
1259C22⋊Q8—111no—
1260C22⋊Q8—111no—
1261C22⋊Q8—111no—
1262C22⋊Q8—111no—
1263C22⋊Q8—111no—
1264C22⋊Q8—111no—
1265C22⋊Q8—111no—
1266C22⋊Q8—111no—
1267C22⋊Q8—111no—
1268C22⋊Q8—111no—
1269C22⋊Q8—221no—
1270C22⋊Q8—221no—
1271C22⋊Q8—221no—
1272C22⋊Q8—221no—
1273C22⋊Q8—221no—
1274#121—21no—
1275#121—21no—
1276#121—21no—
1277#121—21no—
1278#121—111no—
1279#121—111no—
1280#121—111no—
1281#121—111no—
1282#121—111no—
1283#121—111no—
1284#121—111no—
1285#121—111no—
1286#121—111no—
1287#121—111no—
1288#121—221no—
1289#121—221no—
1290#121—221no—
1291#121—221no—
1292#121—221no—
1293#121—221no—
1294#121—221no—
1295#121—221no—
1296#121—221no—
1297#121—221no—
1298#121—221no—
1299#121—221no—
1300#121—221no—
1301#121—221no—
1302#121—221no—
1303#121—221no—
1304#121—221no—
1305#121—221no—
1306#121—221no—
1307#121—221no—
1308#121—221no—
1309#121—221no—
1310#121—221no—
1311#121—221no—
1312#121—221no—
1313#121—221no—
1314#121—221no—
1315#121—221no—
1316#121—221no—
1317#121C22×D1111yescharacteristic
1318#121C22×D1111yescharacteristic
1319#121C22×D1111yescharacteristic
1320#121C22×D1111yescharacteristic
1321#120—111no—
1322#120—111no—
1323#120—221no—
1324#120—221no—
1325#120—221no—
1326#120—221no—
1327#120—221no—
1328#120—221no—
1329#120—221no—
1330#120—221no—
1331#120—221no—
1332#120—221no—
1333C4×Q8—111no—
1334C4×Q8—111no—
1335C4×Q8C22×D1111yescharacteristic
1336C4×Q8C22×D1111yescharacteristic
1337C4×D4—21no—
1338C4×D4—21no—
1339C4×D4—111no—
1340C4×D4—111no—
1341C4×D4—111no—
1342C4×D4—111no—
1343C4×D4—111no—
1344C4×D4—111no—
1345C4×D4—111no—
1346C4×D4—221no—
1347C4×D4—221no—
1348C4×D4—221no—
1349C4×D4—221no—
1350C4×D4—221no—
1351C4×D4—221no—
1352C4×D4—221no—
1353C4×D4—221no—
1354C4×D4—221no—
1355C4×D4—221no—
1356C4×D4—221no—
1357C4×D4—221no—
1358C4×D4C22×D1111yescharacteristic
1359#117—111no—
1360#117—111no—
1361#117—111no—
1362#117—221no—
1363#117—221no—
1364#117—221no—
1365C2×C4⋊C4—111no—
1366C2×C4⋊C4—111no—
1367C2×C4⋊C4—111no—
1368C2×C4⋊C4—221no—
1369C2×C4⋊C4—221no—
1370C2×C4⋊C4—221no—
1371C2×C22⋊C4—221no—
1372C2×C22⋊C4—221no—
1373C2×C22⋊C4—221no—
1374#107—111no—
1375#107—111no—
1376#107—111no—
1377#107C22×D1111yescharacteristic
1378#106—111no—
1379#106—111no—
1380#106—111no—
1381#106—111no—
1382C4⋊C8—111no—
1383C4⋊C8—111no—
1384C4⋊C8—111no—
1385C4⋊C8C22×D1111yescharacteristic
1386#103—111no—
1387#103—111no—
1388#103—111no—
1389#103—111no—
1390#103—111no—
1391#103—111no—
1392#103—111no—
1393#103—111no—
1394#103—111no—
1395#103—111no—
1396#103C22×D1111yescharacteristic
1397#103C22×D1111yescharacteristic
1398#102—111no—
1399#102—111no—
1400#102—111no—
1401#102—111no—
1402#102—111no—
1403#102—111no—
1404#102—111no—
1405#102—111no—
1406#102—111no—
1407#102—111no—
1408#102—111no—
1409#102—111no—
1410#102—111no—
1411#102—111no—
1412#102—111no—
1413#102—111no—
1414#102C22×D1111yescharacteristic
1415#102C22×D1111yescharacteristic
1416#102C22×D1111yescharacteristic
1417#102C22×D1111yescharacteristic
1418C22⋊C8—111no—
1419C22⋊C8—111no—
1420C22⋊C8—111no—
1421C22⋊C8—111no—
1422C22⋊C8—111no—
1423C22⋊C8—111no—
1424C22⋊C8—111no—
1425C22⋊C8—111no—
1426C22⋊C8—111no—
1427C22⋊C8—111no—
1428C22⋊C8C22×D1111yescharacteristic
1429C22⋊C8C22×D1111yescharacteristic
1430#97—111no—
1431#97—111no—
1432C4×C8—111no—
1433C4×C8C22×D1111yescharacteristic
1434C2×C11—41no—
1435C2×C11—41no—
1436C2×C11—81no—
1437C2×C11—81no—
1438C2×C11—81no—
1439C2×C11—81no—
1440C2×C11#348411yescharacteristic
1441C2×C11#358411yescharacteristic
1442C2×C11#358511yescharacteristic
1443D11—41no—
1444D11—41no—
1445D11—41no—
1446D11—42no—
1447D11—81no—
1448C24—111no—
1449C24—221no—
1450C24—221no—
1451C24—221no—
1452C24—221no—
1453#41—22no—
1454#41—22no—
1455#41—41no—
1456#41—41no—
1457#41—41no—
1458#41—41no—
1459#41—41no—
1460#41—41no—
1461#41—222no—
1462#41—222no—
1463#41—222no—
1464#41—222no—
1465#41—441no—
1466#41—441no—
1467#41—441no—
1468#41—444no—
1469#41—444no—
1470#41—441no—
1471#41—441no—
1472#41—444no—
1473#41—441no—
1474#41—441no—
1475#41—441no—
1476#41—441no—
1477#41—441no—
1478C2×Q8—111no—
1479C2×Q8—111no—
1480C2×Q8—111no—
1481C2×Q8—221no—
1482C2×Q8—222no—
1483C2×Q8—441no—
1484C2×Q8C23×D1111yescharacteristic
1485C2×Q8C23×D1111yescharacteristic
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—21no—
1492C2×D4—21no—
1493C2×D4—21no—
1494C2×D4—21no—
1495C2×D4—21no—
1496C2×D4—21no—
1497C2×D4—21no—
1498C2×D4—111no—
1499C2×D4—111no—
1500C2×D4—111no—
1501C2×D4—111no—
1502C2×D4—111no—
1503C2×D4—111no—
1504C2×D4—111no—
1505C2×D4—111no—
1506C2×D4—222no—
1507C2×D4—221no—
1508C2×D4—221no—
1509C2×D4—221no—
1510C2×D4—221no—
1511C2×D4—221no—
1512C2×D4—221no—
1513C2×D4—221no—
1514C2×D4—221no—
1515C2×D4—222no—
1516C2×D4—222no—
1517C2×D4—221no—
1518C2×D4—221no—
1519C2×D4—221no—
1520C2×D4—221no—
1521C2×D4—221no—
1522C2×D4—221no—
1523C2×D4—221no—
1524C2×D4—221no—
1525C2×D4—221no—
1526C2×D4—221no—
1527C2×D4—221no—
1528C2×D4—221no—
1529C2×D4—441no—
1530C2×D4—444no—
1531C2×D4—441no—
1532C2×D4—441no—
1533C2×D4—441no—
1534C2×D4—441no—
1535C2×D4—444no—
1536C2×D4—444no—
1537C2×D4—444no—
1538C2×D4—882no—
1539C2×D4—882no—
1540C2×D4—882no—
1541C2×D4D4×D1111yescharacteristic
1542C2×D4C23×D1111yescharacteristic
1543C2×D4C23×D1111yescharacteristic
1544C2×D4C23×D1111yescharacteristic
1545C2×D4C23×D1111yescharacteristic
1546C22×C4—21no—
1547C22×C4—21no—
1548C22×C4—21no—
1549C22×C4—21no—
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—441no—
1571C22×C4—441no—
1572C22×C4—444no—
1573C22×C4C23×D1111yescharacteristic
1574C22×C4C23×D1111yescharacteristic
1575Q16—22no—
1576Q16—222no—
1577Q16—441no—
1578Q16—441no—
1579SD16—22no—
1580SD16—22no—
1581SD16—41no—
1582SD16—41no—
1583SD16—222no—
1584SD16—222no—
1585SD16—441no—
1586SD16—441no—
1587SD16—441no—
1588SD16—441no—
1589SD16—441no—
1590SD16—441no—
1591D8—41no—
1592D8—41no—
1593D8—41no—
1594D8—41no—
1595D8—222no—
1596D8—222no—
1597D8—441no—
1598D8—441no—
1599M16—441no—
1600M16—441no—
1601M16—441no—
1602M16—441no—
1603C2×C8—41no—
1604C2×C8—41no—
1605C2×C8—111no—
1606C2×C8—111no—
1607C2×C8—111no—
1608C2×C8—111no—
1609C2×C8—441no—
1610C2×C8—441no—
1611C2×C8C23×D1111yescharacteristic
1612C2×C8C23×D1111yescharacteristic
1613C2×C8C23×D1111yescharacteristic
1614C2×C8C23×D1111yescharacteristic
1615C4⋊C4—21no—
1616C4⋊C4—21no—
1617C4⋊C4—111no—
1618C4⋊C4—111no—
1619C4⋊C4—111no—
1620C4⋊C4—111no—
1621C4⋊C4—111no—
1622C4⋊C4—111no—
1623C4⋊C4—111no—
1624C4⋊C4—111no—
1625C4⋊C4—111no—
1626C4⋊C4—221no—
1627C4⋊C4—221no—
1628C4⋊C4—221no—
1629C4⋊C4—221no—
1630C4⋊C4—221no—
1631C4⋊C4—221no—
1632C4⋊C4—221no—
1633C4⋊C4—221no—
1634C4⋊C4—221no—
1635C4⋊C4—221no—
1636C4⋊C4—221no—
1637C4⋊C4—221no—
1638C4⋊C4—221no—
1639C4⋊C4—221no—
1640C4⋊C4—221no—
1641C4⋊C4—221no—
1642C4⋊C4—221no—
1643C4⋊C4—221no—
1644C4⋊C4—221no—
1645C4⋊C4D4×D1111yescharacteristic
1646C4⋊C4C23×D1111yescharacteristic
1647C4⋊C4C23×D1111yescharacteristic
1648C22⋊C4—21no—
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—21no—
1652C22⋊C4—111no—
1653C22⋊C4—111no—
1654C22⋊C4—111no—
1655C22⋊C4—111no—
1656C22⋊C4—111no—
1657C22⋊C4—111no—
1658C22⋊C4—111no—
1659C22⋊C4—111no—
1660C22⋊C4—221no—
1661C22⋊C4—221no—
1662C22⋊C4—221no—
1663C22⋊C4—221no—
1664C22⋊C4—221no—
1665C22⋊C4—221no—
1666C22⋊C4—221no—
1667C22⋊C4—221no—
1668C22⋊C4—221no—
1669C22⋊C4—221no—
1670C22⋊C4—221no—
1671C22⋊C4—221no—
1672C22⋊C4—221no—
1673C22⋊C4—221no—
1674C22⋊C4—221no—
1675C22⋊C4—221no—
1676C22⋊C4—221no—
1677C22⋊C4—221no—
1678C22⋊C4—221no—
1679C22⋊C4—221no—
1680C22⋊C4—221no—
1681C22⋊C4—221no—
1682C22⋊C4—221no—
1683C22⋊C4—221no—
1684C22⋊C4—221no—
1685C22⋊C4—221no—
1686C22⋊C4D4×D1111yescharacteristic
1687C22⋊C4D4×D1111yescharacteristic
1688C42—21no—
1689C42—21no—
1690C42—111no—
1691C42—221no—
1692C42—221no—
1693C42—221no—
1694C42—221no—
1695C42C23×D1111yescharacteristic
1696C11#6162811yescharacteristic, complemented, Sylow
1697C23—21no—
1698C23—21no—
1699C23—21no—
1700C23—21no—
1701C23—111no—
1702C23—111no—
1703C23—111no—
1704C23—221no—
1705C23—221no—
1706C23—441no—
1707C23—441no—
1708C23—441no—
1709C23—442no—
1710C23—442no—
1711C23—442no—
1712C23—442no—
1713C23—442no—
1714C23—881no—
1715C23—881no—
1716C23—881no—
1717C23—881no—
1718C23—881no—
1719C23—881no—
1720C23—881no—
1721C23C2×D4×D1111yescharacteristic
1722C23C2×D4×D1111yescharacteristic
1723Q8—21no—
1724Q8—21no—
1725Q8—21no—
1726Q8—221no—
1727Q8—221no—
1728Q8—221no—
1729Q8—221no—
1730Q8—441no—
1731Q8—442no—
1732Q8#6703712yes—
1733D4—21no—
1734D4—21no—
1735D4—21no—
1736D4—21no—
1737D4—21no—
1738D4—21no—
1739D4—21no—
1740D4—21no—
1741D4—41no—
1742D4—42no—
1743D4—42no—
1744D4—81no—
1745D4—81no—
1746D4—81no—
1747D4—81no—
1748D4—81no—
1749D4—81no—
1750D4—81no—
1751D4—81no—
1752D4—81no—
1753D4—81no—
1754D4—112no—
1755D4—224no—
1756D4—221no—
1757D4—221no—
1758D4—221no—
1759D4—441no—
1760D4—441no—
1761D4—442no—
1762D4—442no—
1763D4—442no—
1764D4—441no—
1765D4—441no—
1766D4—441no—
1767D4—441no—
1768D4—442no—
1769D4—442no—
1770D4—442no—
1771D4—442no—
1772D4—442no—
1773D4—442no—
1774D4—881no—
1775D4—881no—
1776D4—881no—
1777D4—881no—
1778D4—881no—
1779D4—881no—
1780D4—881no—
1781D4—881no—
1782D4—881no—
1783D4—881no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—42no—
1793C2×C4—42no—
1794C2×C4—81no—
1795C2×C4—81no—
1796C2×C4—111no—
1797C2×C4—111no—
1798C2×C4—111no—
1799C2×C4—111no—
1800C2×C4—111no—
1801C2×C4—224no—
1802C2×C4—221no—
1803C2×C4—221no—
1804C2×C4—221no—
1805C2×C4—221no—
1806C2×C4—221no—
1807C2×C4—221no—
1808C2×C4—221no—
1809C2×C4—221no—
1810C2×C4—221no—
1811C2×C4—221no—
1812C2×C4—221no—
1813C2×C4—221no—
1814C2×C4—441no—
1815C2×C4—441no—
1816C2×C4—442no—
1817C2×C4—442no—
1818C2×C4—442no—
1819C2×C4—441no—
1820C2×C4—442no—
1821C2×C4—881no—
1822C2×C4—881no—
1823C2×C4—881no—
1824C2×C4—881no—
1825C2×C4—881no—
1826C2×C4—881no—
1827C2×C4—881no—
1828C2×C4—881no—
1829C2×C4—881no—
1830C2×C4C2×D4×D1111yescharacteristic
1831C2×C4C2×D4×D1111yescharacteristic
1832C2×C4C2×D4×D1111yescharacteristic
1833C2×C4C2×D4×D1111yescharacteristic
1834C2×C4C24×D1111yescharacteristic
1835C8—21no—
1836C8—21no—
1837C8—21no—
1838C8—21no—
1839C8—221no—
1840C8—221no—
1841C8—221no—
1842C8—221no—
1843C22—21no—
1844C22—21no—
1845C22—21no—
1846C22—21no—
1847C22—21no—
1848C22—21no—
1849C22—41no—
1850C22—41no—
1851C22—41no—
1852C22—41no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—221no—
1862C22—222no—
1863C22—221no—
1864C22—221no—
1865C22—221no—
1866C22—221no—
1867C22—221no—
1868C22—221no—
1869C22—221no—
1870C22—221no—
1871C22—441no—
1872C22—441no—
1873C22—441no—
1874C22—441no—
1875C22—441no—
1876C22—882no—
1877C22—884no—
1878C22—1762no—
1879C22—1762no—
1880C22—1762no—
1881C22C22×D4×D1111yescharacteristic
1882C4—21no—
1883C4—21no—
1884C4—22no—
1885C4—21no—
1886C4—21no—
1887C4—41no—
1888C4—41no—
1889C4—41no—
1890C4—221no—
1891C4—221no—
1892C4—221no—
1893C4—221no—
1894C4—221no—
1895C4—441no—
1896C4—441no—
1897C4—441no—
1898C4—441no—
1899C4—441no—
1900C4—441no—
1901C4C2×#6703711yescharacteristic
1902C4D11×H(5,𝔽2)11yescharacteristic
1903C2—41no—
1904C2—41no—
1905C2—81no—
1906C2—81no—
1907C2—81no—
1908C2—81no—
1909C2—441no—
1910C2—441no—
1911C2—441no—
1912C2—442no—
1913C2—881no—
1914C2#1308224411yescharacteristic
1915C2#1308338511yescharacteristic
1916C2#1308339111yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3287C2
socleC22×C11C23×D4
hypercenter#3287D11
hypocenterC11#61628
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3287

Complements

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

NH ≅ G/Ntype
1. #13082867C2semidirect
2. #13082284C2semidirect
3. #13080889C2semidirect
4. #13080862C2semidirect
5. #13080763C2semidirect
6. #13080742C2semidirect
7. #13080644C2semidirect
8. #13080626C2semidirect
9. #13080461C2semidirect
10. #13080453C2semidirect
11. #13080340C2semidirect
12. #13080235C2semidirect
13. #13080209C2semidirect
14. #13080196C2semidirect
15. #13080171C2semidirect
16. #13080157C2semidirect
17. #13080134C2semidirect
18. #13079687C2semidirect
19. #13079659C2semidirect
20. #13079525C2semidirect
21. #13079512C2semidirect
22. #13079428C2semidirect
23. #13079376C2semidirect
24. #13078836C2semidirect
25. #13078814C2semidirect
26. #13077918C2semidirect
27. #13077916C2semidirect
28. #13077854C2semidirect
29. #13077830C2semidirect
30. #13077658C2semidirect
31. C11×#3287C2semidirect
34. C2×C11×#135C22semidirect
35. C2×C11×#135C22semidirect
37. C11×#550C22semidirect
39. #10623364C22semidirect
41. #10623359C22semidirect
42. #10623355C22semidirect
43. #10623355C22semidirect
44. C2×#67003C22semidirect
45. C2×#67002C22semidirect
46. C2×#66969C22semidirect
47. C2×#66968C22semidirect
48. C2×#66964C22semidirect
49. C2×#66964C22semidirect
52. #10623250C22semidirect
53. #10623249C22semidirect
59. #10623149C22semidirect
61. #10623145C22semidirect
68. #10623139C22semidirect
69. #10623137C22semidirect
74. #10623114C22semidirect
75. #10623112C22semidirect
83. #10623072C22semidirect
85. C11×#493C22semidirect
86. C11×#466C22semidirect
87. C11×#466C22semidirect
88. C11×#460C22semidirect
89. C11×#460C22semidirect
90. C11×#449C22semidirect
91. C11×#449C22semidirect
92. C11×#449C22semidirect
93. C11×#449C22semidirect
94. C4×C11×Q16C22semidirect
95. C8×D4×C11C22semidirect
96. #10622852C22semidirect
97. #10622852C22semidirect
98. #10622852C22semidirect
99. #10622851C22semidirect
100. #10622846C22semidirect
101. #10622845C22semidirect
103. #10622800C22semidirect
104. #10622799C22semidirect
105. #10622795C22semidirect
106. #10622788C22semidirect
107. #10622787C22semidirect
108. #10622786C22semidirect
111. #10622785C22semidirect
112. #10622784C22semidirect
113. #10622783C22semidirect
114. #10622782C22semidirect
115. #10622782C22semidirect
116. #10622782C22semidirect
117. #10622780C22semidirect
118. #10622777C22semidirect
119. SD16×Dic11C22semidirect
120. #10622772C22semidirect
121. #10622772C22semidirect
122. #10622771C22semidirect
123. #10622771C22semidirect
124. #10622771C22semidirect
125. #10622771C22semidirect
126. #10622769C22semidirect
127. #10622769C22semidirect
128. #10622769C22semidirect
129. #10622769C22semidirect
130. #10622766C22semidirect
131. #10622766C22semidirect
132. #10622763C22semidirect
133. #10622763C22semidirect
134. #10622729C22semidirect
135. #10622727C22semidirect
136. #10622726C22semidirect
137. C2×#66885C22semidirect
138. #10622724C22semidirect
139. #10622723C22semidirect
140. C8×C22⋊D11C22semidirect
141. C2×(C2×D11)⋊C8C22semidirect
142. #10622688C22semidirect
143. #10622687C22semidirect
144. #10622685C22semidirect
145. #10622684C22semidirect
146. #10622655C22semidirect
147. #10622655C22semidirect
148. #10622654C22semidirect
149. #10622651C22semidirect
150. #10622650C22semidirect
151. #10622649C22semidirect
152. #10622648C22semidirect
153. #10622647C22semidirect
154. #10622643C22semidirect
155. #10622641C22semidirect
156. #10622639C22semidirect
157. #10622635C22semidirect
158. #10622624C22semidirect
159. #10622504C22semidirect
160. #10622498C22semidirect
161. #10622497C22semidirect
162. #10622497C22semidirect
163. #10622460C22semidirect
164. #10622458C22semidirect
165. #10622453C22semidirect
166. #10622449C22semidirect
167. #10622431C22semidirect
168. #10622429C22semidirect
169. #10622425C22semidirect
171. #10622418C22semidirect
172. #10622416C22semidirect
173. #10622415C22semidirect
174. #10622412C22semidirect
175. #10622398C22semidirect
176. #10622396C22semidirect
177. #10622396C22semidirect
178. #10622395C22semidirect
179. #10622394C22semidirect
180. #10622392C22semidirect
181. #10622391C22semidirect
182. #10622390C22semidirect
183. #10622389C22semidirect
184. #10622387C22semidirect
185. #10622387C22semidirect
186. #10622383C22semidirect
187. D11×#102C22semidirect
188. #10622381C22semidirect
189. #10622377C22semidirect
190. #10622369C22semidirect
191. #10622350C22semidirect
192. #10622346C22semidirect
193. #10622344C22semidirect
194. #10622343C22semidirect
195. #10622342C22semidirect
196. #10622340C22semidirect
197. #10622339C22semidirect
198. #10622334C22semidirect
199. #10622310C22semidirect
200. C4×#4314C22semidirect
201. #10622303C22semidirect
202. #10622301C22semidirect
749. #3287D11semidirect
924. C2×#135C2×D11semidirect
925. C2×#135C2×D11semidirect
937. #550C2×D11semidirect
971. #493C2×D11semidirect
1003. #466C2×D11semidirect
1004. #466C2×D11semidirect
1016. #460C2×D11semidirect
1017. #460C2×D11semidirect
1047. #449C2×D11semidirect
1048. #449C2×D11semidirect
1049. #449C2×D11semidirect
1050. #449C2×D11semidirect
1061. C4×Q16C2×D11semidirect
1072. C8×D4C2×D11semidirect
1696. C11#61628semidirect

Maximal subgroups

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

subgroupindex
#130828672
#130822842
#130808892
#130808622
#130807632
#130807422
#130806442
#130806262
#130804612
#130804532
#130803402
#130802352
#130802092
#130801962
#130801712
#130801572
#130801342
#130796872
#130796592
#130795252
#130795122
#130794282
#130793762
#130788362
#130788142
#130779182
#130779162
#130778542
#130778302
#130776582
C11×#32872
#6162811