Finite Group Databasebeta

← #15640336

Subgroups — #15640336

Order 2816.

2100 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082895C211yesmaximal, characteristic, complemented
2#13082279C211yesmaximal, characteristic, complemented
3#13080955C211yesmaximal, characteristic, complemented
4#13080879C211yesmaximal, characteristic, complemented
5#13080849C211yesmaximal, characteristic, complemented
6#13080810C211yesmaximal, characteristic, complemented
7#13080697C211yesmaximal, characteristic, complemented
8#13080689C211yesmaximal, characteristic, complemented
9#13080641C211yesmaximal, characteristic, complemented
10#13080617C211yesmaximal, characteristic, complemented
11#13080280C211yesmaximal, characteristic, complemented
12#13080271C211yesmaximal, characteristic, complemented
13#13080210C211yesmaximal, characteristic, complemented
14#13080202C211yesmaximal, characteristic, complemented
15#13080175C211yesmaximal, characteristic, complemented
16#13080120C211yesmaximal, characteristic, complemented
17#13080117C211yesmaximal, characteristic, complemented
18#13079703C211yesmaximal, characteristic, complemented
19#13079685C211yesmaximal, characteristic, complemented
20#13079517C211yesmaximal, characteristic, complemented
21#13079499C211yesmaximal, characteristic, complemented
22#13079425C211yesmaximal, characteristic, complemented
23#13079420C211yesmaximal, characteristic, complemented
24#13078875C211yesmaximal, characteristic, complemented
25#13078826C211yesmaximal, characteristic, complemented
26#13077919C211yesmaximal, characteristic, complemented
27#13077888C211yesmaximal, characteristic, complemented
28#13077872C211yesmaximal, characteristic, complemented
29#13077854C211yesmaximal, characteristic, complemented
30#13077673C211yesmaximal, characteristic, complemented
31C11×#3275C211yesmaximal, characteristic, complemented
32C2×#41×D11C2211yescharacteristic
33C2×#67037C2211yescharacteristic
34C2×C11×#137C2211yescharacteristic, complemented
35C2×C11×AGL(1,ℤ/8)C2211yescharacteristic, complemented
36C11×#548C2211yescharacteristic, complemented
37C11×#546C2211yescharacteristic
38#10623364C2211yescharacteristic, complemented
39#10623360C2211yescharacteristic
40#10623355C2211yescharacteristic, complemented
41C2×#67003C2211yescharacteristic, complemented
42Q8×C22⋊D11C2211yescharacteristic, complemented
43C2×#66999C2211yescharacteristic, complemented
44C2×#66995C2211yescharacteristic, complemented
45D4×C22⋊D11C2211yescharacteristic
46C2×#66968C2211yescharacteristic, complemented
47C2×#66968C2211yescharacteristic, complemented
48C2×SD16×D11C2211yescharacteristic, complemented
49C2×#66964C2211yescharacteristic, complemented
50#10623215—21no—
51#10623213C2211yescharacteristic, complemented
52#10623208C2211yescharacteristic
53#10623208C2211yescharacteristic, complemented
54#10623205C2211yescharacteristic
55#10623200—21no—
56#10623187—21no—
57#10623185—21no—
58#10623177—21no—
59#10623176—21no—
60#10623173C2211yescharacteristic, complemented
61#10623164C2211yescharacteristic
62#10623160C2211yescharacteristic
63#10623159C2211yescharacteristic, complemented
64#10623149C2211yescharacteristic, complemented
65#10623148—21no—
66#10623140—21no—
67#10623137C2211yescharacteristic, complemented
68D11×#121C2211yescharacteristic
69#10623132—21no—
70#10623130C2211yescharacteristic
71#10623128—21no—
72#10623123—21no—
73#10623121—21no—
74#10623115C2211yescharacteristic, complemented
75#10623114C2211yescharacteristic, complemented
76#10623091—21no—
77#10623084C2211yescharacteristic
78D4×D44C2211yescharacteristic
79#10623078C2211yescharacteristic
80#10623077C2211yescharacteristic
81#10623074C2211yescharacteristic, complemented
82#10623070—21no—
83#10623021—21no—
84C2×#66937—21no—
85C11×#495C2211yescharacteristic, complemented
86C11×#470C2211yescharacteristic, complemented
87C11×#469C2211yescharacteristic, complemented
88C11×#464C2211yescharacteristic, complemented
89C11×#463C2211yescharacteristic, complemented
90C11×#452C2211yescharacteristic, complemented
91C11×#450C2211yescharacteristic, complemented
92C11×#449C2211yescharacteristic, complemented
93C11×#448C2211yescharacteristic, complemented
94C4×C11×SD16C2211yescharacteristic, complemented
95C11×#436C2211yescharacteristic, complemented
96#10622852C2211yescharacteristic, complemented
97#10622851C2211yescharacteristic, complemented
98#10622845C2211yescharacteristic, complemented
99#10622840C2211yescharacteristic, complemented
100#10622831C2211yescharacteristic, complemented
101C2×#66896C2211yescharacteristic, complemented
102#10622803C2211yescharacteristic, complemented
103#10622801C2211yescharacteristic, complemented
104#10622800C2211yescharacteristic, complemented
105#10622800C2211yescharacteristic, complemented
106#10622799C2211yescharacteristic, complemented
107#10622799C2211yescharacteristic, complemented
108#10622799C2211yescharacteristic, complemented
109#10622798C2211yescharacteristic, complemented
110#10622788C2211yescharacteristic, complemented
111#10622787C2211yescharacteristic, complemented
112#10622787C2211yescharacteristic, complemented
113#10622787C2211yescharacteristic, complemented
114#10622786C2211yescharacteristic
115#10622786C2211yescharacteristic
116#10622786C2211yescharacteristic, complemented
117#10622785C2211yescharacteristic, complemented
118#10622782C2211yescharacteristic, complemented
119#10622782C2211yescharacteristic, complemented
120#10622782C2211yescharacteristic, complemented
121#10622782C2211yescharacteristic, complemented
122#10622782C2211yescharacteristic, complemented
123#10622778C2211yescharacteristic, complemented
124#10622777C2211yescharacteristic, complemented
125#10622776C2211yescharacteristic, complemented
126#10622775C2211yescharacteristic, complemented
127#10622771C2211yescharacteristic
128#10622771C2211yescharacteristic, complemented
129#10622771C2211yescharacteristic, complemented
130#10622769C2211yescharacteristic, complemented
131#10622769C2211yescharacteristic, complemented
132#10622763C2211yescharacteristic, complemented
133D8×Dic11C2211yescharacteristic, complemented
134#10622747C2211yescharacteristic, complemented
135#10622747C2211yescharacteristic, complemented
136#10622746C2211yescharacteristic, complemented
137#10622746C2211yescharacteristic, complemented
138#10622742C2211yescharacteristic, complemented
139#10622741C2211yescharacteristic, complemented
140#10622740C2211yescharacteristic, complemented
141#10622739C2211yescharacteristic, complemented
142#10622671C2211yescharacteristic, complemented
143#10622668C2211yescharacteristic, complemented
144#10622667C2211yescharacteristic, complemented
145#10622667C2211yescharacteristic, complemented
146#10622664C2211yescharacteristic, complemented
147#10622661C2211yescharacteristic, complemented
148#10622660C2211yescharacteristic, complemented
149#10622657C2211yescharacteristic, complemented
150#10622655C2211yescharacteristic, complemented
151#10622652C2211yescharacteristic, complemented
152#10622650C2211yescharacteristic, complemented
153#10622646C2211yescharacteristic, complemented
154#10622643C2211yescharacteristic, complemented
155#10622640C2211yescharacteristic, complemented
156#10622631C2211yescharacteristic, complemented
157#10622624C2211yescharacteristic, complemented
158#10622620C2211yescharacteristic, complemented
159#10622479C2211yescharacteristic, complemented
160#10622479C2211yescharacteristic, complemented
161#10622475C2211yescharacteristic, complemented
162#10622470C2211yescharacteristic, complemented
163#10622463C2211yescharacteristic, complemented
164#10622461C2211yescharacteristic, complemented
165#10622453C2211yescharacteristic, complemented
166#10622449C2211yescharacteristic, complemented
167#10622427C2211yescharacteristic, complemented
168#10622425C2211yescharacteristic, complemented
169#10622425C2211yescharacteristic, complemented
170#10622425C2211yescharacteristic, complemented
171#10622423C2211yescharacteristic, complemented
172#10622422C2211yescharacteristic, complemented
173#10622422C2211yescharacteristic, complemented
174#10622419C2211yescharacteristic, complemented
175#10622415C2211yescharacteristic, complemented
176#10622413C2211yescharacteristic, complemented
177#10622406C2211yescharacteristic, complemented
178#10622403C2211yescharacteristic, complemented
179#10622397C2211yescharacteristic, complemented
180#10622396C2211yescharacteristic
181#10622394C2211yescharacteristic, complemented
182#10622389C2211yescharacteristic, complemented
183#10622388C2211yescharacteristic, complemented
184#10622387C2211yescharacteristic, complemented
185#10622385C2211yescharacteristic, complemented
186#10622383C2211yescharacteristic, complemented
187#10622383C2211yescharacteristic, complemented
188#10622379C2211yescharacteristic, complemented
189#10622377C2211yescharacteristic, complemented
190#10622370C2211yescharacteristic, complemented
191#10622349C2211yescharacteristic, complemented
192#10622349C2211yescharacteristic, complemented
193#10622346C2211yescharacteristic, complemented
194#10622346C2211yescharacteristic, complemented
195#10622343C2211yescharacteristic, complemented
196#10622342C2211yescharacteristic, complemented
197#10622340C2211yescharacteristic, complemented
198#10622339C2211yescharacteristic, complemented
199C4×Dic44C2211yescharacteristic, complemented
200#10622307C2211yescharacteristic, complemented
201#10622303C2211yescharacteristic, complemented
202#10622301C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C2×C11×#41C2311yescharacteristic
205C22×Q8×C11C2311yescharacteristic
206C22×D4×C11C2311yescharacteristic
207C22×C22⋊D11—21no—
208C22×C22⋊D11—21no—
209C22×C22⋊D11—21no—
210#41×D11—42no—
211#41×D11—42no—
212C2×#4343C2311yescharacteristic
213C2×Q8×D11C2311yescharacteristic
214C2×Q8×D11C2311yescharacteristic
215#67037—42no—
216#67037—42no—
217C2×#4341—21no—
218C2×#4341—21no—
219C2×#4341C2311yescharacteristic
220C2×#4341C2311yescharacteristic
221C2×#4341C2311yescharacteristic
222C2×D4×D11—21no—
223C2×D4×D11—21no—
224C2×D4×D11—21no—
225C2×D4×D11C2311yescharacteristic
226C2×D4×D11C2311yescharacteristic
227C2×D4×D11C2311yescharacteristic
228C2×#4339—21no—
229C2×#4339C2311yescharacteristic
230C2×#4339C2311yescharacteristic
231C2×#4339C2311yescharacteristic
232C22×D44—21no—
233C22×C4×D11—21no—
234C22×C4×D11C2311yescharacteristic
235C11×#137—42no—
236C11×AGL(1,ℤ/8)—42no—
237C2×C11×Q16C2311yescharacteristic
238C2×C11×Q16C2311yescharacteristic
239C2×C11×SD16C2311yescharacteristic
240C2×C11×SD16C2311yescharacteristic
241C2×C11×SD16C2311yescharacteristic
242C2×C11×SD16C2311yescharacteristic
243C2×C11×SD16C2311yescharacteristic
244C2×C11×D8C2311yescharacteristic
245C2×C11×D8C2311yescharacteristic
246C2×C11×M16C2311yescharacteristic
247C2×C11×M16C2311yescharacteristic
248C11×#124—21no—
249C11×#124C2311yescharacteristic
250C11×#124C2311yescharacteristic
251C11×#123—21no—
252C11×C22⋊Q8—21no—
253C11×C22⋊Q8C2311yescharacteristic
254C11×C22⋊Q8C2311yescharacteristic
255C11×#121—21no—
256C11×#121—21no—
257C11×#121C2311yescharacteristic
258C11×#121C2311yescharacteristic
259C11×#120—21no—
260C4×Q8×C11C2311yescharacteristic
261C4×D4×C11—21no—
262C4×D4×C11C2311yescharacteristic
263C4×D4×C11C2311yescharacteristic
264C2×C11×C22⋊C4—21no—
265#67006—21no—
266#67003—42no—
267#67000C2311yescharacteristic
268#66999—21no—
269#66999—21no—
270#66999—21no—
271#66999C2311yescharacteristic
272#66999C2311yescharacteristic
273#66999C2311yescharacteristic
274#66999C2311yescharacteristic
275#66999C2311yescharacteristic
276#66999C2311yescharacteristic
277Q8×Dic11C2311yescharacteristic
278#66997—21no—
279#66997C2311yescharacteristic
280C2×#4326C2311yescharacteristic
281C2×#4326C2311yescharacteristic
282C2×#4326C2311yescharacteristic
283#66995—42no—
284C2×#4325C2311yescharacteristic
285C2×#4325C2311yescharacteristic
286C2×#4325C2311yescharacteristic
287C2×#4325C2311yescharacteristic
288#66993—21no—
289#66993—21no—
290#66993C2311yescharacteristic
291#66992—21no—
292#66992—21no—
293#66992—21no—
294#66992—21no—
295#66992—21no—
296#66992—21no—
297#66992—21no—
298#66992—21no—
299#66992D411yescharacteristic
300#66991C2311yescharacteristic
301#66991C2311yescharacteristic
302#66991C2311yescharacteristic
303#66990—21no—
304#66990—21no—
305#66990—21no—
306#66990D411yescharacteristic
307#66988—21no—
308D4×Dic11—21no—
309D4×Dic11—21no—
310D4×Dic11—21no—
311D4×Dic11C2311yescharacteristic
312D4×Dic11C2311yescharacteristic
313C2×#4324C2311yescharacteristic
314C2×#4324C2311yescharacteristic
315C2×#4324C2311yescharacteristic
316C2×#4323C2311yescharacteristic
317C2×#4323C2311yescharacteristic
318#66983—21no—
319#66983—21no—
320#66983C2311yescharacteristic
321#66983C2311yescharacteristic
322#66982—21no—
323#66982—21no—
324C4×C22⋊D11—21no—
325C4×C22⋊D11—21no—
326C4×C22⋊D11C2311yescharacteristic
327C4×C22⋊D11C2311yescharacteristic
328C2×(C2×D11)⋊C4—21no—
329C2×(C2×D11)⋊C4—21no—
330C2×C4⋊Dic11C2311yescharacteristic
331C2×C4⋊Dic11C2311yescharacteristic
332#66977—21no—
333#66977—21no—
334#66977C2311yescharacteristic
335#66977C2311yescharacteristic
336C2×Dic11⋊C4—21no—
337C2×Dic11⋊C4—21no—
338C2×Dic11⋊C4—21no—
339C2×#4318C2311yescharacteristic
340C22×C11⋊C8C2311yescharacteristic
341#66968—42no—
342#66968—42no—
343SD16×D11—42no—
344#66964—42no—
345C2×Dic44C2311yescharacteristic
346C2×#4314C2311yescharacteristic
347C2×#4314C2311yescharacteristic
348C2×#4313C2311yescharacteristic
349C2×#4313C2311yescharacteristic
350C2×#4313C2311yescharacteristic
351C2×C8×D11C2311yescharacteristic
352#66951—21no—
353#66951—21no—
354#66951—21no—
355#66951—21no—
356#66950C2311yescharacteristic
357#66949—21no—
358#66949—21no—
359#66949D411yescharacteristic
360#66948—21no—
361#66948C2311yescharacteristic
362#66948C2311yescharacteristic
363#66947—21no—
364#66947D411yescharacteristic
365#66946—21no—
366#66946—21no—
367#66945C2311yescharacteristic
368#66945C2311yescharacteristic
369C4⋊C4×D11C2311yescharacteristic
370#66943—21no—
371#66943—21no—
372#66943C2311yescharacteristic
373#66942—21no—
374#66941—21no—
375#66940C2311yescharacteristic
376#66939—21no—
377#66939—21no—
378#66939—21no—
379#66938—21no—
380#66938—21no—
381#66938—21no—
382#66938—21no—
383#66938—21no—
384#66937—21no—
385#66937—21no—
386#66937—21no—
387#66937—21no—
388#66937—21no—
389#66937—21no—
390#66937—21no—
391#66937—21no—
392#66937—21no—
393#66937—21no—
394#66937—21no—
395#66937D411yescharacteristic
396#66936—21no—
397#66936—21no—
398#66936D411yescharacteristic
399#66935—21no—
400#66935—21no—
401#66935—21no—
402#66935—21no—
403#66935D411yescharacteristic
404(C22⋊D11)⋊C4—21no—
405(C22⋊D11)⋊C4—21no—
406(C22⋊D11)⋊C4—21no—
407(C22⋊D11)⋊C4—21no—
408(C22⋊D11)⋊C4—21no—
409C22⋊C4×D11—21no—
410#66932—21no—
411#66932—21no—
412#66931—21no—
413#66931—21no—
414#66931—21no—
415#66931—21no—
416#66931—21no—
417#66931D411yescharacteristic
418#66930—21no—
419#66930—21no—
420#66929—21no—
421#66928—21no—
422#66927C2311yescharacteristic
423C4×D44C2311yescharacteristic
424#66925C2311yescharacteristic
425#66923—21no—
426#66922C2311yescharacteristic
427C4×Dic22—21no—
428C4×Dic22C2311yescharacteristic
429C4×Dic22C2311yescharacteristic
430C11×#106C2311yescharacteristic
431C11×C4⋊C8C2311yescharacteristic
432C11×#103C2311yescharacteristic
433C11×#103C2311yescharacteristic
434C11×#103C2311yescharacteristic
435C11×#102C2311yescharacteristic
436C11×#102C2311yescharacteristic
437C11×#102C2311yescharacteristic
438C11×C22⋊C8C2311yescharacteristic
439C11×C22⋊C8C2311yescharacteristic
440C4×C8×C11C2311yescharacteristic
441#66899C2311yescharacteristic
442#66899C2311yescharacteristic
443#66899C2311yescharacteristic
444#66899C2311yescharacteristic
445#66899C2311yescharacteristic
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#66882C2311yescharacteristic
471#66882C2311yescharacteristic
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#66871C2311yescharacteristic
486#66871C2311yescharacteristic
487#66871C2311yescharacteristic
488C4⋊(C11⋊C8)C2311yescharacteristic
489#66867C2311yescharacteristic
490#61654—111nomaximal, Sylow
491C24×C11—21no—
492C23×D11—21no—
493C23×D11—21no—
494C23×D11—21no—
495C23×D11C2×D411yescharacteristic
496C11×#41—22no—
497C11×#41—41no—
498C11×#41—41no—
499C11×#41—41no—
500C2×Q8×C11—21no—
501C2×Q8×C11—41no—
502C2×Q8×C11—41no—
503C2×Q8×C11C2411yescharacteristic
504C2×Q8×C11C2411yescharacteristic
505C2×Q8×C11C2411yescharacteristic
506C2×D4×C11—22no—
507C2×D4×C11—21no—
508C2×D4×C11—21no—
509C2×D4×C11—21no—
510C2×D4×C11—21no—
511C2×D4×C11—21no—
512C2×D4×C11—41no—
513C2×D4×C11C2×D411yescharacteristic
514C2×D4×C11C2411yescharacteristic
515C2×D4×C11C2411yescharacteristic
516C2×D4×C11C2411yescharacteristic
517C22×C4×C11—21no—
518C22×C4×C11—21no—
519C22×C4×C11—21no—
520C22×C4×C11—21no—
521C22×C4×C11C2411yescharacteristic
522C22×C4×C11C2411yescharacteristic
523C2×C22⋊D11—21no—
524C2×C22⋊D11—21no—
525C2×C22⋊D11—21no—
526C2×C22⋊D11—21no—
527C2×C22⋊D11—21no—
528C2×C22⋊D11—21no—
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—44no—
539C2×C22⋊D11—44no—
540C2×C22⋊D11—82no—
541C2×C22⋊D11C2×D411yescharacteristic
542C2×C22⋊D11C2×D411yescharacteristic
543C2×C22⋊D11C2×D411yescharacteristic
544C2×C22⋊D11C2×D411yescharacteristic
545C22×Dic11—21no—
546C22×Dic11—21no—
547C22×Dic11—21no—
548C22×Dic11—21no—
549C22×Dic11—21no—
550C22×Dic11—21no—
551C22×Dic11—21no—
552C22×Dic11C2×D411yescharacteristic
553#4343—41no—
554#4343—41no—
555Q8×D11—22no—
556Q8×D11—41no—
557Q8×D11—41no—
558Q8×D11—41no—
559#4341—22no—
560#4341—22no—
561#4341—22no—
562#4341—41no—
563#4341—41no—
564#4341—41no—
565#4341—44no—
566#4341—44no—
567D4×D11—22no—
568D4×D11—22no—
569D4×D11—41no—
570D4×D11—41no—
571D4×D11—41no—
572D4×D11—41no—
573D4×D11—44no—
574D4×D11—44no—
575D4×D11—82no—
576#4339—22no—
577#4339—22no—
578#4339—41no—
579#4339—41no—
580#4339—41no—
581#4339—41no—
582#4339—44no—
583C2×D44—21no—
584C2×D44—21no—
585C2×D44—21no—
586C2×D44—21no—
587C2×D44—21no—
588C2×D44—82no—
589C2×D44C2×D411yescharacteristic
590C2×D44C2×D411yescharacteristic
591C2×D44C2411yescharacteristic
592C2×D44C2411yescharacteristic
593C2×C4×D11—21no—
594C2×C4×D11—21no—
595C2×C4×D11—21no—
596C2×C4×D11—21no—
597C2×C4×D11—21no—
598C2×C4×D11—21no—
599C2×C4×D11—41no—
600C2×C4×D11—41no—
601C2×C4×D11—44no—
602C2×C4×D11C2×D411yescharacteristic
603C2×C4×D11C2×D411yescharacteristic
604C2×C4×D11C2411yescharacteristic
605C2×C4×D11C2411yescharacteristic
606C2×C4×D11C2411yescharacteristic
607C2×Dic22—21no—
608C2×Dic22—21no—
609C2×Dic22—21no—
610C2×Dic22C2×D411yescharacteristic
611C2×Dic22C2411yescharacteristic
612C2×Dic22C2411yescharacteristic
613C11×Q16—41no—
614C11×Q16—41no—
615C11×SD16—22no—
616C11×SD16—22no—
617C11×SD16—41no—
618C11×SD16—41no—
619C11×SD16—41no—
620C11×D8—22no—
621C11×D8—41no—
622C11×M16—41no—
623C11×M16—41no—
624C2×C8×C11C2411yescharacteristic
625C2×C8×C11C2411yescharacteristic
626C2×C8×C11C2411yescharacteristic
627C2×C8×C11C2411yescharacteristic
628C11×C4⋊C4—21no—
629C11×C4⋊C4—21no—
630C11×C4⋊C4—21no—
631C11×C4⋊C4C2×D411yescharacteristic
632C11×C4⋊C4C2411yescharacteristic
633C11×C4⋊C4C2411yescharacteristic
634C11×C22⋊C4—21no—
635C11×C22⋊C4—21no—
636C11×C22⋊C4—21no—
637C11×C22⋊C4—21no—
638C11×C22⋊C4—21no—
639C11×C22⋊C4—21no—
640C11×C22⋊C4—21no—
641C11×C22⋊C4—21no—
642C11×C22⋊C4—21no—
643C11×C22⋊C4C2×D411yescharacteristic
644C11×C22⋊C4C2×D411yescharacteristic
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⋊Dic11C2×D411yescharacteristic
655C22⋊Dic11C2×D411yescharacteristic
656#4326—22no—
657#4326—22no—
658#4326—41no—
659#4325—41no—
660#4325—41no—
661#4325—41no—
662#4325—41no—
663#4324—22no—
664#4324—22no—
665#4324—41no—
666#4323—41no—
667#4323—41no—
668(C2×D11)⋊C4—21no—
669(C2×D11)⋊C4—21no—
670(C2×D11)⋊C4—21no—
671(C2×D11)⋊C4—21no—
672(C2×D11)⋊C4—21no—
673(C2×D11)⋊C4—21no—
674(C2×D11)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
684(C2×D11)⋊C4C2×D411yescharacteristic
685(C2×D11)⋊C4C2×D411yescharacteristic
686(C2×D11)⋊C4C2×D411yescharacteristic
687(C2×D11)⋊C4C2×D411yescharacteristic
688(C2×D11)⋊C4C2×D411yescharacteristic
689C4⋊Dic11—21no—
690C4⋊Dic11—21no—
691C4⋊Dic11—21no—
692C4⋊Dic11—21no—
693C4⋊Dic11—21no—
694C4⋊Dic11—21no—
695C4⋊Dic11C2×D411yescharacteristic
696C4⋊Dic11C2411yescharacteristic
697C4⋊Dic11C2411yescharacteristic
698C4⋊Dic11C2411yescharacteristic
699C4⋊Dic11C2411yescharacteristic
700Dic11⋊C4—21no—
701Dic11⋊C4—21no—
702Dic11⋊C4—21no—
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⋊C4C2×D411yescharacteristic
716Dic11⋊C4C2×D411yescharacteristic
717Dic11⋊C4C2×D411yescharacteristic
718Dic11⋊C4C2×D411yescharacteristic
719C4×Dic11—21no—
720C4×Dic11—21no—
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—22no—
733#4314—41no—
734#4314—41no—
735#4313—41no—
736#4313—41no—
737#4313—41no—
738C8×D11—41no—
739#3541—111no—
740#3488—111no—
741#3333—111no—
742#3327—111no—
743#3324—111no—
744#3322—111no—
745#3314—111no—
746#3313—111no—
747#3310—111no—
748#3309—111no—
749#3278—111no—
750#3277—111no—
751#3275D1111yescharacteristic, complemented
752#3272—111no—
753#3271—111no—
754#3269—111no—
755#3266—111no—
756#3265—111no—
757#3224—111no—
758#3222—111no—
759#3203—111no—
760#3201—111no—
761#3194—111no—
762#3193—111no—
763#3124—111no—
764#3120—111no—
765#3012—111no—
766#3009—111no—
767#3007—111no—
768#3005—111no—
769#2978—111no—
770C23×C11—21no—
771C23×C11—21no—
772C23×C11—21no—
773C23×C11—42no—
774C23×C11—81no—
775C23×C11—81no—
776C23×C11C22×D411yescharacteristic
777C23×C11C22×D411yescharacteristic
778C22×D11—21no—
779C22×D11—21no—
780C22×D11—41no—
781C22×D11—41no—
782C22×D11—41no—
783C22×D11—42no—
784C22×D11—42no—
785C22×D11—42no—
786C22×D11—42no—
787C22×D11—81no—
788C22×D11—81no—
789C22×D11—81no—
790C22×D11—81no—
791C22×D11—81no—
792C22×D11C22×D411yescharacteristic
793C22×D11C22×D411yescharacteristic
794C22×D11C22×D411yescharacteristic
795Q8×C11—21no—
796Q8×C11—21no—
797Q8×C11—21no—
798Q8×C11—21no—
799Q8×C11—21no—
800Q8×C11—21no—
801Q8×C11—81no—
802D4×C11—21no—
803D4×C11—21no—
804D4×C11—21no—
805D4×C11—21no—
806D4×C11—21no—
807D4×C11—41no—
808D4×C11—42no—
809D4×C11—42no—
810D4×C11—42no—
811D4×C11—81no—
812D4×C11—81no—
813D4×C11H(5,𝔽2)12yes—
814C2×C4×C11—21no—
815C2×C4×C11—21no—
816C2×C4×C11—21no—
817C2×C4×C11—21no—
818C2×C4×C11—21no—
819C2×C4×C11—21no—
820C2×C4×C11—21no—
821C2×C4×C11—21no—
822C2×C4×C11—21no—
823C2×C4×C11—42no—
824C2×C4×C11—81no—
825C2×C4×C11—81no—
826C2×C4×C11—81no—
827C2×C4×C11C22×D411yescharacteristic
828C2×C4×C11C22×D411yescharacteristic
829C2×C4×C11C22×D411yescharacteristic
830C2×C4×C11C22×D411yescharacteristic
831C2×C4×C11C2511yescharacteristic
832C22⋊D11—24no—
833C22⋊D11—41no—
834C22⋊D11—41no—
835C22⋊D11—41no—
836C22⋊D11—41no—
837C22⋊D11—42no—
838C22⋊D11—42no—
839C22⋊D11—42no—
840C22⋊D11—42no—
841C22⋊D11—42no—
842C22⋊D11—42no—
843C22⋊D11—42no—
844C22⋊D11—81no—
845C22⋊D11—81no—
846C22⋊D11—81no—
847C22⋊D11—81no—
848C22⋊D11—81no—
849C22⋊D11—81no—
850C22⋊D11—81no—
851C2×Dic11—24no—
852C2×Dic11—21no—
853C2×Dic11—21no—
854C2×Dic11—21no—
855C2×Dic11—21no—
856C2×Dic11—21no—
857C2×Dic11—21no—
858C2×Dic11—41no—
859C2×Dic11—42no—
860C2×Dic11—81no—
861C2×Dic11—81no—
862C2×Dic11—81no—
863C2×Dic11—81no—
864C2×Dic11—81no—
865C2×Dic11C22×D411yescharacteristic
866C2×Dic11C22×D411yescharacteristic
867C2×Dic11C22×D411yescharacteristic
868C2×Dic11C22×D411yescharacteristic
869C2×Dic11C22×D411yescharacteristic
870D44—21no—
871D44—21no—
872D44—21no—
873D44—21no—
874D44—41no—
875D44—41no—
876D44—42no—
877D44—42no—
878D44—81no—
879D44—81no—
880D44—81no—
881C4×D11—21no—
882C4×D11—21no—
883C4×D11—21no—
884C4×D11—21no—
885C4×D11—21no—
886C4×D11—21no—
887C4×D11—41no—
888C4×D11—41no—
889C4×D11—42no—
890C4×D11—42no—
891C4×D11—42no—
892C4×D11—42no—
893C4×D11—81no—
894C4×D11—81no—
895Dic22—21no—
896Dic22—21no—
897Dic22—21no—
898Dic22—41no—
899Dic22—42no—
900Dic22—81no—
901Dic22—81no—
902Dic22H(5,𝔽2)12yes—
903C8×C11—21no—
904C8×C11—21no—
905C8×C11—21no—
906C8×C11—21no—
907C11⋊C8—21no—
908C11⋊C8—21no—
909C11⋊C8—21no—
910C11⋊C8—21no—
911C2×H(5,𝔽2)—111no—
912C22×#41—111no—
913C2×#137—111no—
914C2×#137—111no—
915C2×#137—111no—
916C2×#137C2×D1111yescharacteristic, complemented
917C2×AGL(1,ℤ/8)—111no—
918C2×AGL(1,ℤ/8)C2×D1111yescharacteristic, complemented
919C2×#135—111no—
920C22×SD16—111no—
921#563—221no—
922#562—221no—
923#556—111no—
924#554—111no—
925#554—221no—
926#553—111no—
927#553—221no—
928#552—111no—
929#550—111no—
930#550—111no—
931D4×Q8—111no—
932#548—111no—
933#548—111no—
934#548—111no—
935#548C2×D1111yescharacteristic, complemented
936#547—111no—
937#546—111no—
938#546—221no—
939#546—221no—
940#546C2×D1111yescharacteristic
941D42—111no—
942D42—111no—
943D42—221no—
944D42—221no—
945#542—111no—
946#542—221no—
947#541—111no—
948#539—221no—
949#538—221no—
950#538—221no—
951#537—111no—
952#537—111no—
953#537—221no—
954#536—111no—
955#535—111no—
956#535—221no—
957#525—111no—
958#525—111no—
959#525—221no—
960C2×C22⋊Q8—111no—
961C2×#121—111no—
962C2×#121—221no—
963#520—111no—
964#497—111no—
965#496—111no—
966#495C2×D1111yescharacteristic, complemented
967#492—111no—
968#490—111no—
969#489—111no—
970#488—111no—
971#486—111no—
972#485—111no—
973#484—111no—
974#484—111no—
975#484—111no—
976#483—111no—
977#482—111no—
978#482—111no—
979#482—111no—
980#480—111no—
981#480—111no—
982#480—111no—
983#480—111no—
984#479—111no—
985#478—111no—
986#477—111no—
987#474—111no—
988#470C2×D1111yescharacteristic, complemented
989#469—111no—
990#469C2×D1111yescharacteristic, complemented
991#468—111no—
992#468—111no—
993#468—111no—
994#468—111no—
995#468—111no—
996#468—111no—
997#468—111no—
998#468—111no—
999#468—111no—
1000#467—111no—
1001#467—111no—
1002#466—111no—
1003#465—111no—
1004#464—111no—
1005#464—111no—
1006#464—111no—
1007#464C2×D1111yescharacteristic, complemented
1008#463—111no—
1009#463C2×D1111yescharacteristic, complemented
1010#462—111no—
1011#461—111no—
1012#460—111no—
1013#460—111no—
1014#460—111no—
1015#459—111no—
1016#452—111no—
1017#452—111no—
1018#452—111no—
1019#452—111no—
1020#452—111no—
1021#452—111no—
1022#452—111no—
1023#452—111no—
1024#452—111no—
1025#452—111no—
1026#452—111no—
1027#452C2×D1111yescharacteristic, complemented
1028#451—111no—
1029#451—111no—
1030#451—111no—
1031#450—111no—
1032#450—111no—
1033#450—111no—
1034#450—111no—
1035#450—111no—
1036#450—111no—
1037#450—111no—
1038#450C2×D1111yescharacteristic, complemented
1039#449—111no—
1040#449—111no—
1041#449—111no—
1042#449—111no—
1043#449—111no—
1044#449—111no—
1045#449—111no—
1046#449C2×D1111yescharacteristic, complemented
1047#448—111no—
1048#448—111no—
1049#448C2×D1111yescharacteristic, complemented
1050#447—111no—
1051#447—111no—
1052#441—111no—
1053#440—111no—
1054#440—111no—
1055#440—111no—
1056C4×Q16—111no—
1057C4×Q16—111no—
1058C4×SD16C2×D1111yescharacteristic, complemented
1059C4×D8—111no—
1060#436—111no—
1061#436—111no—
1062#436—111no—
1063#436C2×D1111yescharacteristic, complemented
1064#435—111no—
1065#435—111no—
1066#435—111no—
1067#435—111no—
1068#433—111no—
1069#433—111no—
1070#419—111no—
1071#418—111no—
1072#418—111no—
1073#417—111no—
1074#417—111no—
1075#417—111no—
1076#416—111no—
1077C2×#102—111no—
1078#408—111no—
1079#408—111no—
1080#407—111no—
1081#407—111no—
1082C22×C11—21no—
1083C22×C11—21no—
1084C22×C11—21no—
1085C22×C11—21no—
1086C22×C11—21no—
1087C22×C11—21no—
1088C22×C11—22no—
1089C22×C11—41no—
1090C22×C11—41no—
1091C22×C11—41no—
1092C22×C11—41no—
1093C22×C11—41no—
1094C22×C11—41no—
1095C22×C11—41no—
1096C22×C11—41no—
1097C22×C11—162no—
1098C22×C11C23×D411yescharacteristic
1099C2×D11—21no—
1100C2×D11—21no—
1101C2×D11—21no—
1102C2×D11—21no—
1103C2×D11—21no—
1104C2×D11—21no—
1105C2×D11—21no—
1106C2×D11—21no—
1107C2×D11—21no—
1108C2×D11—41no—
1109C2×D11—41no—
1110C2×D11—41no—
1111C2×D11—41no—
1112C2×D11—41no—
1113C2×D11—41no—
1114C2×D11—82no—
1115C2×D11—84no—
1116C2×D11—162no—
1117C2×D11—162no—
1118C4×C11—21no—
1119C4×C11—21no—
1120C4×C11—21no—
1121C4×C11—21no—
1122C4×C11—41no—
1123C4×C11—41no—
1124C4×C11—41no—
1125C4×C11—41no—
1126C4×C11—41no—
1127C4×C11C2×H(5,𝔽2)11yescharacteristic
1128C4×C11C2×H(5,𝔽2)11yescharacteristic
1129Dic11—21no—
1130Dic11—21no—
1131Dic11—22no—
1132Dic11—21no—
1133Dic11—21no—
1134Dic11—21no—
1135Dic11—41no—
1136Dic11—41no—
1137Dic11—41no—
1138Dic11—41no—
1139Dic11—41no—
1140H(5,𝔽2)—442no—
1141H(5,𝔽2)—442no—
1142C2×#41—111no—
1143C2×#41—111no—
1144C2×#41—111no—
1145C2×#41—111no—
1146C2×#41—111no—
1147C2×#41—111no—
1148C2×#41—111no—
1149C2×#41—221no—
1150C2×#41—221no—
1151C2×#41—221no—
1152C2×#41—442no—
1153C2×#41—442no—
1154C2×#41C22×D1111yescharacteristic
1155C2×#41C22×D1111yescharacteristic
1156C22×Q8—111no—
1157C22×Q8—111no—
1158C22×Q8C22×D1111yescharacteristic
1159C22×D4—111no—
1160C22×D4—111no—
1161C22×D4—111no—
1162C22×D4—221no—
1163C22×D4—221no—
1164C22×D4—221no—
1165C22×D4—221no—
1166C22×D4—221no—
1167C22×D4—221no—
1168C22×D4—221no—
1169C22×D4C22×D1111yescharacteristic
1170C23×C4—111no—
1171C23×C4—221no—
1172#137—42no—
1173#137—442no—
1174#137—442no—
1175#137—442no—
1176AGL(1,ℤ/8)—42no—
1177AGL(1,ℤ/8)—442no—
1178#135—442no—
1179C2×Q16—111no—
1180C2×Q16—111no—
1181C2×Q16—111no—
1182C2×Q16—111no—
1183C2×Q16C22×D1111yescharacteristic
1184C2×Q16C22×D1111yescharacteristic
1185C2×SD16—111no—
1186C2×SD16—111no—
1187C2×SD16—111no—
1188C2×SD16—111no—
1189C2×SD16—111no—
1190C2×SD16—111no—
1191C2×SD16—111no—
1192C2×SD16—111no—
1193C2×SD16—111no—
1194C2×SD16—442no—
1195C2×SD16C22×D1111yescharacteristic
1196C2×SD16C22×D1111yescharacteristic
1197C2×SD16C22×D1111yescharacteristic
1198C2×SD16C22×D1111yescharacteristic
1199C2×SD16C22×D1111yescharacteristic
1200C2×D8—111no—
1201C2×D8—111no—
1202C2×D8C22×D1111yescharacteristic
1203C2×D8C22×D1111yescharacteristic
1204C2×M16—111no—
1205C2×M16—111no—
1206C2×M16—111no—
1207C2×M16—111no—
1208C2×M16C22×D1111yescharacteristic
1209C2×M16C22×D1111yescharacteristic
1210C22×C8—111no—
1211C22×C8—111no—
1212C4⋊Q8—111no—
1213C4⋊Q8—111no—
1214C4⋊Q8—221no—
1215C4⋊Q8—221no—
1216#127—111no—
1217#127—111no—
1218#127—221no—
1219#127—221no—
1220#126—221no—
1221#126—221no—
1222#126—221no—
1223#126—221no—
1224#126—221no—
1225#126—221no—
1226#126—221no—
1227#125—111no—
1228#125—221no—
1229#125—221no—
1230#125—221no—
1231#125—221no—
1232#124—21no—
1233#124—111no—
1234#124—221no—
1235#124—221no—
1236#124—221no—
1237#124—221no—
1238#124—221no—
1239#124—221no—
1240#124C22×D1111yescharacteristic
1241#124C22×D1111yescharacteristic
1242#123—21no—
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—
1254C22⋊Q8—21no—
1255C22⋊Q8—111no—
1256C22⋊Q8—111no—
1257C22⋊Q8—111no—
1258C22⋊Q8—111no—
1259C22⋊Q8—111no—
1260C22⋊Q8—111no—
1261C22⋊Q8—111no—
1262C22⋊Q8—111no—
1263C22⋊Q8—111no—
1264C22⋊Q8—111no—
1265C22⋊Q8—111no—
1266C22⋊Q8—221no—
1267C22⋊Q8—221no—
1268C22⋊Q8—221no—
1269C22⋊Q8—221no—
1270C22⋊Q8—221no—
1271C22⋊Q8—221no—
1272C22⋊Q8—221no—
1273C22⋊Q8—221no—
1274C22⋊Q8—221no—
1275C22⋊Q8—221no—
1276C22⋊Q8—221no—
1277C22⋊Q8—221no—
1278C22⋊Q8C22×D1111yescharacteristic
1279C22⋊Q8C22×D1111yescharacteristic
1280#121—21no—
1281#121—21no—
1282#121—111no—
1283#121—111no—
1284#121—111no—
1285#121—111no—
1286#121—111no—
1287#121—111no—
1288#121—111no—
1289#121—111no—
1290#121—111no—
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#121C22×D1111yescharacteristic
1314#121C22×D1111yescharacteristic
1315#120—21no—
1316#120—111no—
1317#120—111no—
1318#120—221no—
1319#120—221no—
1320#120—221no—
1321#120—221no—
1322#120—221no—
1323#120—221no—
1324#120—221no—
1325#120—221no—
1326C4×Q8—111no—
1327C4×Q8—111no—
1328C4×Q8—111no—
1329C4×Q8—111no—
1330C4×Q8—221no—
1331C4×Q8C22×D1111yescharacteristic
1332C4×D4—21no—
1333C4×D4—111no—
1334C4×D4—111no—
1335C4×D4—111no—
1336C4×D4—111no—
1337C4×D4—111no—
1338C4×D4—221no—
1339C4×D4—221no—
1340C4×D4—221no—
1341C4×D4—221no—
1342C4×D4—221no—
1343C4×D4—221no—
1344C4×D4—221no—
1345C4×D4—221no—
1346C4×D4—221no—
1347C4×D4—221no—
1348C4×D4—221no—
1349C4×D4—221no—
1350C4×D4C22×D1111yescharacteristic
1351C4×D4C22×D1111yescharacteristic
1352#117—111no—
1353#117—111no—
1354#117—111no—
1355#117—221no—
1356#117—221no—
1357C2×C4⋊C4—111no—
1358C2×C4⋊C4—111no—
1359C2×C4⋊C4—111no—
1360C2×C4⋊C4—221no—
1361C2×C4⋊C4—221no—
1362C2×C4⋊C4—221no—
1363C2×C22⋊C4—21no—
1364C2×C22⋊C4—221no—
1365C2×C22⋊C4—221no—
1366C2×C22⋊C4—221no—
1367#107—111no—
1368#107—111no—
1369#107—111no—
1370#107—111no—
1371#107—111no—
1372#107—111no—
1373#106—111no—
1374#106C22×D1111yescharacteristic
1375C4⋊C8—111no—
1376C4⋊C8—111no—
1377C4⋊C8—111no—
1378C4⋊C8C22×D1111yescharacteristic
1379#103—111no—
1380#103—111no—
1381#103—111no—
1382#103—111no—
1383#103—111no—
1384#103—111no—
1385#103—111no—
1386#103—111no—
1387#103—111no—
1388#103—111no—
1389#103—111no—
1390#103C22×D1111yescharacteristic
1391#103C22×D1111yescharacteristic
1392#103C22×D1111yescharacteristic
1393#102—111no—
1394#102—111no—
1395#102—111no—
1396#102—111no—
1397#102—111no—
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#102C22×D1111yescharacteristic
1409#102C22×D1111yescharacteristic
1410#102C22×D1111yescharacteristic
1411C22⋊C8—111no—
1412C22⋊C8—111no—
1413C22⋊C8—111no—
1414C22⋊C8—111no—
1415C22⋊C8—111no—
1416C22⋊C8—111no—
1417C22⋊C8—111no—
1418C22⋊C8—111no—
1419C22⋊C8—111no—
1420C22⋊C8—111no—
1421C22⋊C8C22×D1111yescharacteristic
1422C22⋊C8C22×D1111yescharacteristic
1423#97—111no—
1424#97—111no—
1425C4×C8—111no—
1426C4×C8C22×D1111yescharacteristic
1427C2×C11—42no—
1428C2×C11—41no—
1429C2×C11—41no—
1430C2×C11—81no—
1431C2×C11—81no—
1432C2×C11#348411yescharacteristic
1433C2×C11#358511yescharacteristic
1434C2×C11#358611yescharacteristic
1435D11—41no—
1436D11—41no—
1437D11—41no—
1438D11—81no—
1439D11—81no—
1440C24—21no—
1441C24—111no—
1442C24—221no—
1443C24—221no—
1444C24—221no—
1445#41—22no—
1446#41—41no—
1447#41—41no—
1448#41—41no—
1449#41—222no—
1450#41—222no—
1451#41—222no—
1452#41—222no—
1453#41—222no—
1454#41—441no—
1455#41—441no—
1456#41—441no—
1457#41—441no—
1458#41—444no—
1459#41—441no—
1460#41—444no—
1461#41—444no—
1462#41—441no—
1463#41—441no—
1464#41—441no—
1465#41—441no—
1466C2×Q8—21no—
1467C2×Q8—41no—
1468C2×Q8—41no—
1469C2×Q8—111no—
1470C2×Q8—111no—
1471C2×Q8—111no—
1472C2×Q8—221no—
1473C2×Q8—221no—
1474C2×Q8—221no—
1475C2×Q8—222no—
1476C2×Q8—441no—
1477C2×Q8—441no—
1478C2×Q8—441no—
1479C2×Q8C23×D1111yescharacteristic
1480C2×Q8C23×D1111yescharacteristic
1481C2×Q8C23×D1111yescharacteristic
1482C2×D4—22no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—41no—
1489C2×D4—111no—
1490C2×D4—111no—
1491C2×D4—111no—
1492C2×D4—111no—
1493C2×D4—111no—
1494C2×D4—111no—
1495C2×D4—111no—
1496C2×D4—111no—
1497C2×D4—221no—
1498C2×D4—221no—
1499C2×D4—221no—
1500C2×D4—221no—
1501C2×D4—221no—
1502C2×D4—221no—
1503C2×D4—221no—
1504C2×D4—221no—
1505C2×D4—221no—
1506C2×D4—222no—
1507C2×D4—222no—
1508C2×D4—221no—
1509C2×D4—221no—
1510C2×D4—221no—
1511C2×D4—221no—
1512C2×D4—221no—
1513C2×D4—221no—
1514C2×D4—221no—
1515C2×D4—221no—
1516C2×D4—221no—
1517C2×D4—221no—
1518C2×D4—221no—
1519C2×D4—441no—
1520C2×D4—441no—
1521C2×D4—441no—
1522C2×D4—441no—
1523C2×D4—444no—
1524C2×D4—444no—
1525C2×D4—444no—
1526C2×D4—444no—
1527C2×D4—882no—
1528C2×D4—882no—
1529C2×D4—882no—
1530C2×D4D4×D1111yescharacteristic
1531C2×D4C23×D1111yescharacteristic
1532C2×D4C23×D1111yescharacteristic
1533C2×D4C23×D1111yescharacteristic
1534C22×C4—21no—
1535C22×C4—21no—
1536C22×C4—21no—
1537C22×C4—21no—
1538C22×C4—111no—
1539C22×C4—111no—
1540C22×C4—111no—
1541C22×C4—111no—
1542C22×C4—111no—
1543C22×C4—111no—
1544C22×C4—221no—
1545C22×C4—221no—
1546C22×C4—221no—
1547C22×C4—221no—
1548C22×C4—221no—
1549C22×C4—221no—
1550C22×C4—221no—
1551C22×C4—221no—
1552C22×C4—221no—
1553C22×C4—221no—
1554C22×C4—221no—
1555C22×C4—221no—
1556C22×C4—221no—
1557C22×C4—441no—
1558C22×C4—441no—
1559C22×C4—444no—
1560C22×C4C23×D1111yescharacteristic
1561C22×C4C23×D1111yescharacteristic
1562Q16—41no—
1563Q16—41no—
1564Q16—222no—
1565Q16—222no—
1566Q16—222no—
1567Q16—441no—
1568SD16—22no—
1569SD16—22no—
1570SD16—41no—
1571SD16—41no—
1572SD16—41no—
1573SD16—222no—
1574SD16—222no—
1575SD16—441no—
1576SD16—441no—
1577SD16—441no—
1578SD16—441no—
1579SD16—441no—
1580SD16—441no—
1581SD16—441no—
1582D8—22no—
1583D8—41no—
1584D8—441no—
1585D8—441no—
1586M16—41no—
1587M16—41no—
1588M16—441no—
1589M16—441no—
1590M16—441no—
1591M16—441no—
1592C2×C8—111no—
1593C2×C8—111no—
1594C2×C8—111no—
1595C2×C8—111no—
1596C2×C8—441no—
1597C2×C8—441no—
1598C2×C8C23×D1111yescharacteristic
1599C2×C8C23×D1111yescharacteristic
1600C2×C8C23×D1111yescharacteristic
1601C2×C8C23×D1111yescharacteristic
1602C4⋊C4—21no—
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—111no—
1606C4⋊C4—111no—
1607C4⋊C4—111no—
1608C4⋊C4—111no—
1609C4⋊C4—111no—
1610C4⋊C4—111no—
1611C4⋊C4—111no—
1612C4⋊C4—111no—
1613C4⋊C4—111no—
1614C4⋊C4—221no—
1615C4⋊C4—221no—
1616C4⋊C4—221no—
1617C4⋊C4—221no—
1618C4⋊C4—221no—
1619C4⋊C4—221no—
1620C4⋊C4—221no—
1621C4⋊C4—221no—
1622C4⋊C4—221no—
1623C4⋊C4—221no—
1624C4⋊C4—221no—
1625C4⋊C4—221no—
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⋊C4D4×D1111yescharacteristic
1636C4⋊C4C23×D1111yescharacteristic
1637C4⋊C4C23×D1111yescharacteristic
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—111no—
1648C22⋊C4—111no—
1649C22⋊C4—111no—
1650C22⋊C4—111no—
1651C22⋊C4—111no—
1652C22⋊C4—111no—
1653C22⋊C4—111no—
1654C22⋊C4—111no—
1655C22⋊C4—221no—
1656C22⋊C4—221no—
1657C22⋊C4—221no—
1658C22⋊C4—221no—
1659C22⋊C4—221no—
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⋊C4D4×D1111yescharacteristic
1678C22⋊C4D4×D1111yescharacteristic
1679C42—21no—
1680C42—111no—
1681C42—221no—
1682C42—221no—
1683C42—221no—
1684C42—221no—
1685C42—221no—
1686C42—221no—
1687C42C23×D1111yescharacteristic
1688C11#6165411yescharacteristic, complemented, Sylow
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—42no—
1693C23—81no—
1694C23—81no—
1695C23—111no—
1696C23—111no—
1697C23—111no—
1698C23—221no—
1699C23—221no—
1700C23—441no—
1701C23—441no—
1702C23—441no—
1703C23—442no—
1704C23—442no—
1705C23—442no—
1706C23—442no—
1707C23—881no—
1708C23—881no—
1709C23—881no—
1710C23—881no—
1711C23—881no—
1712C23C2×D4×D1111yescharacteristic
1713C23C2×D4×D1111yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—21no—
1718Q8—21no—
1719Q8—21no—
1720Q8—81no—
1721Q8—112no—
1722Q8—221no—
1723Q8—221no—
1724Q8—221no—
1725Q8—441no—
1726Q8—442no—
1727Q8—881no—
1728Q8—881no—
1729D4—21no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—21no—
1734D4—41no—
1735D4—42no—
1736D4—42no—
1737D4—42no—
1738D4—81no—
1739D4—81no—
1740D4—224no—
1741D4—221no—
1742D4—221no—
1743D4—221no—
1744D4—221no—
1745D4—441no—
1746D4—441no—
1747D4—442no—
1748D4—442no—
1749D4—441no—
1750D4—441no—
1751D4—441no—
1752D4—441no—
1753D4—442no—
1754D4—442no—
1755D4—442no—
1756D4—442no—
1757D4—442no—
1758D4—442no—
1759D4—442no—
1760D4—881no—
1761D4—881no—
1762D4—881no—
1763D4—881no—
1764D4—881no—
1765D4—881no—
1766D4—881no—
1767D4—881no—
1768D4—881no—
1769D4—881no—
1770D4#6703712yes—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—42no—
1781C2×C4—81no—
1782C2×C4—81no—
1783C2×C4—81no—
1784C2×C4—111no—
1785C2×C4—111no—
1786C2×C4—111no—
1787C2×C4—111no—
1788C2×C4—111no—
1789C2×C4—224no—
1790C2×C4—221no—
1791C2×C4—221no—
1792C2×C4—221no—
1793C2×C4—221no—
1794C2×C4—221no—
1795C2×C4—221no—
1796C2×C4—221no—
1797C2×C4—221no—
1798C2×C4—221no—
1799C2×C4—221no—
1800C2×C4—221no—
1801C2×C4—221no—
1802C2×C4—441no—
1803C2×C4—441no—
1804C2×C4—442no—
1805C2×C4—442no—
1806C2×C4—442no—
1807C2×C4—442no—
1808C2×C4—441no—
1809C2×C4—442no—
1810C2×C4—881no—
1811C2×C4—881no—
1812C2×C4—881no—
1813C2×C4—881no—
1814C2×C4—881no—
1815C2×C4—881no—
1816C2×C4—881no—
1817C2×C4C2×D4×D1111yescharacteristic
1818C2×C4C2×D4×D1111yescharacteristic
1819C2×C4C2×D4×D1111yescharacteristic
1820C2×C4C2×D4×D1111yescharacteristic
1821C2×C4C24×D1111yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—221no—
1827C8—221no—
1828C8—221no—
1829C8—221no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—21no—
1834C22—21no—
1835C22—21no—
1836C22—22no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—162no—
1846C22—221no—
1847C22—221no—
1848C22—221no—
1849C22—221no—
1850C22—221no—
1851C22—221no—
1852C22—221no—
1853C22—221no—
1854C22—221no—
1855C22—441no—
1856C22—441no—
1857C22—441no—
1858C22—441no—
1859C22—441no—
1860C22—441no—
1861C22—882no—
1862C22—884no—
1863C22—1762no—
1864C22—1762no—
1865C22C22×D4×D1111yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—21no—
1869C4—21no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—221no—
1876C4—221no—
1877C4—221no—
1878C4—221no—
1879C4—221no—
1880C4—222no—
1881C4—441no—
1882C4—441no—
1883C4—441no—
1884C4—441no—
1885C4—441no—
1886C4C2×#6703711yescharacteristic
1887C4D11×H(5,𝔽2)11yescharacteristic
1888C2—41no—
1889C2—41no—
1890C2—42no—
1891C2—81no—
1892C2—81no—
1893C2—441no—
1894C2—441no—
1895C2—441no—
1896C2—881no—
1897C2—881no—
1898C2#1308224411yescharacteristic
1899C2#1308339411yescharacteristic
1900C2#1308340011yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3275C2
socleC22×C11C23×D4
hypercenter#3275D11
hypocenterC11#61654
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3275

Complements

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

NH ≅ G/Ntype
1. #13082895C2semidirect
2. #13082279C2semidirect
3. #13080955C2semidirect
4. #13080879C2semidirect
5. #13080849C2semidirect
6. #13080810C2semidirect
7. #13080697C2semidirect
8. #13080689C2semidirect
9. #13080641C2semidirect
10. #13080617C2semidirect
11. #13080280C2semidirect
12. #13080271C2semidirect
13. #13080210C2semidirect
14. #13080202C2semidirect
15. #13080175C2semidirect
16. #13080120C2semidirect
17. #13080117C2semidirect
18. #13079703C2semidirect
19. #13079685C2semidirect
20. #13079517C2semidirect
21. #13079499C2semidirect
22. #13079425C2semidirect
23. #13079420C2semidirect
24. #13078875C2semidirect
25. #13078826C2semidirect
26. #13077919C2semidirect
27. #13077888C2semidirect
28. #13077872C2semidirect
29. #13077854C2semidirect
30. #13077673C2semidirect
31. C11×#3275C2semidirect
34. C2×C11×#137C22semidirect
35. C2×C11×AGL(1,ℤ/8)C22semidirect
36. C11×#548C22semidirect
38. #10623364C22semidirect
40. #10623355C22semidirect
41. C2×#67003C22semidirect
42. Q8×C22⋊D11C22semidirect
43. C2×#66999C22semidirect
44. C2×#66995C22semidirect
46. C2×#66968C22semidirect
47. C2×#66968C22semidirect
48. C2×SD16×D11C22semidirect
49. C2×#66964C22semidirect
51. #10623213C22semidirect
53. #10623208C22semidirect
60. #10623173C22semidirect
63. #10623159C22semidirect
64. #10623149C22semidirect
67. #10623137C22semidirect
74. #10623115C22semidirect
75. #10623114C22semidirect
81. #10623074C22semidirect
85. C11×#495C22semidirect
86. C11×#470C22semidirect
87. C11×#469C22semidirect
88. C11×#464C22semidirect
89. C11×#463C22semidirect
90. C11×#452C22semidirect
91. C11×#450C22semidirect
92. C11×#449C22semidirect
93. C11×#448C22semidirect
94. C4×C11×SD16C22semidirect
95. C11×#436C22semidirect
96. #10622852C22semidirect
97. #10622851C22semidirect
98. #10622845C22semidirect
99. #10622840C22semidirect
100. #10622831C22semidirect
101. C2×#66896C22semidirect
102. #10622803C22semidirect
103. #10622801C22semidirect
104. #10622800C22semidirect
105. #10622800C22semidirect
106. #10622799C22semidirect
107. #10622799C22semidirect
108. #10622799C22semidirect
109. #10622798C22semidirect
110. #10622788C22semidirect
111. #10622787C22semidirect
112. #10622787C22semidirect
113. #10622787C22semidirect
116. #10622786C22semidirect
117. #10622785C22semidirect
118. #10622782C22semidirect
119. #10622782C22semidirect
120. #10622782C22semidirect
121. #10622782C22semidirect
122. #10622782C22semidirect
123. #10622778C22semidirect
124. #10622777C22semidirect
125. #10622776C22semidirect
126. #10622775C22semidirect
128. #10622771C22semidirect
129. #10622771C22semidirect
130. #10622769C22semidirect
131. #10622769C22semidirect
132. #10622763C22semidirect
133. D8×Dic11C22semidirect
134. #10622747C22semidirect
135. #10622747C22semidirect
136. #10622746C22semidirect
137. #10622746C22semidirect
138. #10622742C22semidirect
139. #10622741C22semidirect
140. #10622740C22semidirect
141. #10622739C22semidirect
142. #10622671C22semidirect
143. #10622668C22semidirect
144. #10622667C22semidirect
145. #10622667C22semidirect
146. #10622664C22semidirect
147. #10622661C22semidirect
148. #10622660C22semidirect
149. #10622657C22semidirect
150. #10622655C22semidirect
151. #10622652C22semidirect
152. #10622650C22semidirect
153. #10622646C22semidirect
154. #10622643C22semidirect
155. #10622640C22semidirect
156. #10622631C22semidirect
157. #10622624C22semidirect
158. #10622620C22semidirect
159. #10622479C22semidirect
160. #10622479C22semidirect
161. #10622475C22semidirect
162. #10622470C22semidirect
163. #10622463C22semidirect
164. #10622461C22semidirect
165. #10622453C22semidirect
166. #10622449C22semidirect
167. #10622427C22semidirect
168. #10622425C22semidirect
169. #10622425C22semidirect
170. #10622425C22semidirect
171. #10622423C22semidirect
172. #10622422C22semidirect
173. #10622422C22semidirect
174. #10622419C22semidirect
175. #10622415C22semidirect
176. #10622413C22semidirect
177. #10622406C22semidirect
178. #10622403C22semidirect
179. #10622397C22semidirect
181. #10622394C22semidirect
182. #10622389C22semidirect
183. #10622388C22semidirect
184. #10622387C22semidirect
185. #10622385C22semidirect
186. #10622383C22semidirect
187. #10622383C22semidirect
188. #10622379C22semidirect
189. #10622377C22semidirect
190. #10622370C22semidirect
191. #10622349C22semidirect
192. #10622349C22semidirect
193. #10622346C22semidirect
194. #10622346C22semidirect
195. #10622343C22semidirect
196. #10622342C22semidirect
197. #10622340C22semidirect
198. #10622339C22semidirect
199. C4×Dic44C22semidirect
200. #10622307C22semidirect
201. #10622303C22semidirect
202. #10622301C22semidirect
751. #3275D11semidirect
916. C2×#137C2×D11semidirect
918. C2×AGL(1,ℤ/8)C2×D11semidirect
935. #548C2×D11semidirect
966. #495C2×D11semidirect
988. #470C2×D11semidirect
990. #469C2×D11semidirect
1007. #464C2×D11semidirect
1009. #463C2×D11semidirect
1027. #452C2×D11semidirect
1038. #450C2×D11semidirect
1046. #449C2×D11semidirect
1049. #448C2×D11semidirect
1058. C4×SD16C2×D11semidirect
1063. #436C2×D11semidirect
1688. C11#61654semidirect

Maximal subgroups

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

subgroupindex
#130828952
#130822792
#130809552
#130808792
#130808492
#130808102
#130806972
#130806892
#130806412
#130806172
#130802802
#130802712
#130802102
#130802022
#130801752
#130801202
#130801172
#130797032
#130796852
#130795172
#130794992
#130794252
#130794202
#130788752
#130788262
#130779192
#130778882
#130778722
#130778542
#130776732
C11×#32752
#6165411