Finite Group Databasebeta

← #15624663

Subgroups — #15624663

Order 2816.

2208 conjugacy classes of subgroups.

The subgroup lattice has 1972 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082283C211yesmaximal, characteristic, complemented
2#13081944C211yesmaximal, characteristic, complemented
3#13079528C211yesmaximal, characteristic, complemented
4#13079525C211yesmaximal, characteristic, complemented
5#13079516C211yesmaximal, characteristic, complemented
6#13079513C211yesmaximal, characteristic, complemented
7#13079473C211yesmaximal, characteristic, complemented
8#13079468C211yesmaximal, characteristic, complemented
9#13079467C211yesmaximal, characteristic, complemented
10#13079460C211yesmaximal, characteristic, complemented
11#13079452C211yesmaximal, characteristic, complemented
12#13079431C211yesmaximal, characteristic, complemented
13#13079427C211yesmaximal, characteristic, complemented
14#13079407C211yesmaximal, characteristic, complemented
15#13079405C211yesmaximal, characteristic, complemented
16#13079384C211yesmaximal, characteristic, complemented
17#13079376C211yesmaximal, characteristic, complemented
18#13078582C211yesmaximal, characteristic, complemented
19#13078569C211yesmaximal, characteristic, complemented
20#13078551C211yesmaximal, characteristic, complemented
21#13078526C211yesmaximal, characteristic, complemented
22#13078302C211yesmaximal, characteristic, complemented
23#13078295C211yesmaximal, characteristic, complemented
24#13078262C211yesmaximal, characteristic, complemented
25#13078250C211yesmaximal, characteristic, complemented
26#13077888C211yesmaximal, characteristic, complemented
27#13077879C211yesmaximal, characteristic, complemented
28#13077854C211yesmaximal, characteristic, complemented
29D11×#449C211yesmaximal, characteristic, complemented
30#13077064C211yesmaximal, characteristic, complemented
31C11×#3198C211yesmaximal, characteristic, complemented
32C2×#41×D11C2211yescharacteristic
33C2×#41×D11C2211yescharacteristic, complemented
34C2×#67037C2211yescharacteristic
35C11×#537C2211yescharacteristic, complemented
36C11×#535C2211yescharacteristic, complemented
37#10623364C2211yescharacteristic, complemented
38#10623364C2211yescharacteristic, complemented
39#10623364C2211yescharacteristic, complemented
40C2×#66991C2211yescharacteristic, complemented
41C2×#66968C2211yescharacteristic, complemented
42C2×SD16×D11C2211yescharacteristic, complemented
43C2×#66964C2211yescharacteristic, complemented
44C2×D8×D11C2211yescharacteristic, complemented
45C2×#66960C2211yescharacteristic, complemented
46C2×#66954C2211yescharacteristic, complemented
47#10623249—21no—
48#10623248—21no—
49#10623208—21no—
50#10623207—21no—
51#10623159—21no—
52#10623159C2211yescharacteristic
53#10623159C2211yescharacteristic, complemented
54#10623158—21no—
55#10623158C2211yescharacteristic, complemented
56#10623158C2211yescharacteristic, complemented
57#10623139C2211yescharacteristic
58#10623139C2211yescharacteristic, complemented
59#10623138—21no—
60#10623138C2211yescharacteristic
61#10623138C2211yescharacteristic
62#10623138C2211yescharacteristic, complemented
63#10623138C2211yescharacteristic, complemented
64#10623137—21no—
65#10623137C2211yescharacteristic
66#10623137C2211yescharacteristic, complemented
67#10623137C2211yescharacteristic, complemented
68#10623137C2211yescharacteristic, complemented
69#10623136—21no—
70#10623136—21no—
71D11×#121C2211yescharacteristic
72D11×#121C2211yescharacteristic, complemented
73#10623127—21no—
74#10623127—21no—
75#10623122—21no—
76#10623122—21no—
77#10623121—21no—
78#10623121—21no—
79#10623055C2211yescharacteristic, complemented
80#10623054C2211yescharacteristic
81#10623041C2211yescharacteristic, complemented
82C2×#66945C2211yescharacteristic, complemented
83C11×#485C2211yescharacteristic, complemented
84C11×#482C2211yescharacteristic, complemented
85C11×#481C2211yescharacteristic, complemented
86C11×#480C2211yescharacteristic, complemented
87C11×#469C2211yescharacteristic, complemented
88C11×#468C2211yescharacteristic, complemented
89C11×#466C2211yescharacteristic, complemented
90C11×#465C2211yescharacteristic, complemented
91C11×#450C2211yescharacteristic, complemented
92C11×#449C2211yescharacteristic, complemented
93C11×#449C2211yescharacteristic, complemented
94C11×#447C2211yescharacteristic, complemented
95C11×#408C2211yescharacteristic, complemented
96#10622852C2211yescharacteristic, complemented
97#10622851C2211yescharacteristic, complemented
98#10622847C2211yescharacteristic, complemented
99#10622831C2211yescharacteristic, complemented
100#10622830C2211yescharacteristic, complemented
101#10622786C2211yescharacteristic, complemented
102#10622785C2211yescharacteristic, complemented
103#10622785C2211yescharacteristic, complemented
104#10622784C2211yescharacteristic, complemented
105#10622784C2211yescharacteristic, complemented
106#10622782C2211yescharacteristic, complemented
107#10622772C2211yescharacteristic, complemented
108#10622772C2211yescharacteristic, complemented
109#10622771C2211yescharacteristic, complemented
110#10622771C2211yescharacteristic, complemented
111#10622771C2211yescharacteristic, complemented
112#10622769C2211yescharacteristic, complemented
113#10622750C2211yescharacteristic, complemented
114#10622748C2211yescharacteristic, complemented
115#10622739C2211yescharacteristic, complemented
116#10622727C2211yescharacteristic, complemented
117#10622727C2211yescharacteristic, complemented
118C2×(C2×D11)⋊C8C2211yescharacteristic, complemented
119#10622664C2211yescharacteristic, complemented
120#10622662C2211yescharacteristic, complemented
121#10622660C2211yescharacteristic, complemented
122#10622657C2211yescharacteristic, complemented
123#10622655C2211yescharacteristic, complemented
124#10622655C2211yescharacteristic, complemented
125#10622654C2211yescharacteristic, complemented
126#10622652C2211yescharacteristic, complemented
127#10622651C2211yescharacteristic, complemented
128#10622651C2211yescharacteristic, complemented
129#10622650C2211yescharacteristic, complemented
130#10622650C2211yescharacteristic, complemented
131#10622650C2211yescharacteristic, complemented
132#10622647C2211yescharacteristic, complemented
133#10622646C2211yescharacteristic, complemented
134#10622646C2211yescharacteristic, complemented
135#10622616C2211yescharacteristic, complemented
136#10622609C2211yescharacteristic, complemented
137#10622583C2211yescharacteristic, complemented
138#10622580C2211yescharacteristic, complemented
139#10622500C2211yescharacteristic, complemented
140#10622499C2211yescharacteristic, complemented
141#10622498C2211yescharacteristic, complemented
142#10622498C2211yescharacteristic, complemented
143#10622497C2211yescharacteristic, complemented
144#10622495C2211yescharacteristic, complemented
145#10622494C2211yescharacteristic, complemented
146#10622494C2211yescharacteristic, complemented
147#10622480C2211yescharacteristic, complemented
148#10622480C2211yescharacteristic, complemented
149#10622480C2211yescharacteristic, complemented
150#10622479C2211yescharacteristic, complemented
151#10622478C2211yescharacteristic, complemented
152#10622477C2211yescharacteristic, complemented
153#10622473C2211yescharacteristic, complemented
154#10622473C2211yescharacteristic, complemented
155#10622429C2211yescharacteristic, complemented
156#10622428C2211yescharacteristic, complemented
157#10622425C2211yescharacteristic, complemented
158#10622424C2211yescharacteristic, complemented
159#10622423C2211yescharacteristic, complemented
160#10622418C2211yescharacteristic, complemented
161#10622415C2211yescharacteristic, complemented
162D11×#103C2211yescharacteristic, complemented
163#10622396C2211yescharacteristic, complemented
164#10622396C2211yescharacteristic, complemented
165#10622394C2211yescharacteristic, complemented
166#10622394C2211yescharacteristic, complemented
167#10622393C2211yescharacteristic, complemented
168#10622393C2211yescharacteristic, complemented
169#10622392C2211yescharacteristic, complemented
170#10622392C2211yescharacteristic, complemented
171#10622392C2211yescharacteristic, complemented
172#10622392C2211yescharacteristic, complemented
173#10622392C2211yescharacteristic, complemented
174#10622391C2211yescharacteristic, complemented
175#10622390C2211yescharacteristic, complemented
176#10622389C2211yescharacteristic, complemented
177#10622388C2211yescharacteristic, complemented
178#10622388C2211yescharacteristic, complemented
179#10622388C2211yescharacteristic, complemented
180#10622386C2211yescharacteristic, complemented
181#10622385C2211yescharacteristic, complemented
182#10622385C2211yescharacteristic, complemented
183#10622383C2211yescharacteristic, complemented
184#10622383C2211yescharacteristic, complemented
185#10622383C2211yescharacteristic, complemented
186D11×#102C2211yescharacteristic, complemented
187#10622348C2211yescharacteristic, complemented
188#10622348C2211yescharacteristic, complemented
189#10622347C2211yescharacteristic, complemented
190#10622347C2211yescharacteristic, complemented
191#10622346C2211yescharacteristic, complemented
192#10622346C2211yescharacteristic, complemented
193#10622340C2211yescharacteristic
194#10622340C2211yescharacteristic
195#10622340C2211yescharacteristic, complemented
196#10622340C2211yescharacteristic, complemented
197#10622339C2211yescharacteristic, complemented
198#10622339C2211yescharacteristic, complemented
199D11×C22⋊C8C2211yescharacteristic, complemented
200D11×C22⋊C8C2211yescharacteristic, complemented
201#10622334C2211yescharacteristic, complemented
202#10622334C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C2×C11×#41C2311yescharacteristic
205C22×D4×C11C2311yescharacteristic
206C22×C22⋊D11—21no—
207C22×C22⋊D11—21no—
208C22×C22⋊D11—21no—
209#41×D11—42no—
210#41×D11—42no—
211#41×D11—42no—
212#41×D11—42no—
213C2×#4343D411yescharacteristic
214C2×#4343C2311yescharacteristic
215C2×Q8×D11D411yescharacteristic
216C2×Q8×D11C2311yescharacteristic
217#67037—42no—
218#67037—42no—
219C2×#4341—21no—
220C2×#4341—21no—
221C2×#4341D411yescharacteristic
222C2×#4341D411yescharacteristic
223C2×#4341D411yescharacteristic
224C2×#4341C2311yescharacteristic
225C2×#4341C2311yescharacteristic
226C2×#4341C2311yescharacteristic
227C2×D4×D11—21no—
228C2×D4×D11—21no—
229C2×D4×D11—21no—
230C2×D4×D11—21no—
231C2×D4×D11D411yescharacteristic
232C2×D4×D11D411yescharacteristic
233C2×D4×D11D411yescharacteristic
234C2×D4×D11C2311yescharacteristic
235C2×D4×D11C2311yescharacteristic
236C2×D4×D11C2311yescharacteristic
237C2×#4339—21no—
238C2×#4339C2311yescharacteristic
239C2×#4339C2311yescharacteristic
240C2×#4339C2311yescharacteristic
241C2×#4339C2311yescharacteristic
242C2×#4339C2311yescharacteristic
243C22×C4×D11—21no—
244C22×C4×D11C2311yescharacteristic
245C22×C4×D11C2311yescharacteristic
246C22×C4×D11C2311yescharacteristic
247C2×C11×SD16C2311yescharacteristic
248C2×C11×SD16C2311yescharacteristic
249C2×C11×D8C2311yescharacteristic
250C2×C11×D8C2311yescharacteristic
251C2×C11×M16C2311yescharacteristic
252C22×C8×C11C2311yescharacteristic
253C11×#127—21no—
254C11×#124—21no—
255C11×C22⋊Q8—21no—
256C11×C22⋊Q8C2311yescharacteristic
257C11×C22⋊Q8C2311yescharacteristic
258C11×#121—21no—
259C11×#121—21no—
260C11×#121—21no—
261C11×#121C2311yescharacteristic
262C11×#121C2311yescharacteristic
263C11×#121C2311yescharacteristic
264C11×#121C2311yescharacteristic
265C11×#121C2311yescharacteristic
266C11×#121C2311yescharacteristic
267C11×#120—21no—
268C11×#120—21no—
269C11×#117C2311yescharacteristic
270C2×C11×C4⋊C4C2311yescharacteristic
271C2×C22⋊Dic11—21no—
272#66999—21no—
273#66999—21no—
274#66999C2311yescharacteristic
275#66999C2311yescharacteristic
276C2×#4326C2311yescharacteristic
277C2×#4325C2311yescharacteristic
278#66993—21no—
279#66993—21no—
280#66993—21no—
281#66993—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#66991—21no—
293#66991—21no—
294#66991—21no—
295#66991—21no—
296#66991—21no—
297#66991—21no—
298#66991C2311yescharacteristic
299#66991C2311yescharacteristic
300#66991C2311yescharacteristic
301#66991C2311yescharacteristic
302#66991C2311yescharacteristic
303#66991C2311yescharacteristic
304#66990—21no—
305#66990—21no—
306#66990—21no—
307#66990—21no—
308#66990—21no—
309#66990—21no—
310#66990—21no—
311#66990—21no—
312D4×Dic11—21no—
313D4×Dic11—21no—
314D4×Dic11—21no—
315D4×Dic11—21no—
316C2×#4324C2311yescharacteristic
317C2×#4324C2311yescharacteristic
318C2×#4324C2311yescharacteristic
319C2×#4323C2311yescharacteristic
320C2×#4323C2311yescharacteristic
321C2×#4323C2311yescharacteristic
322#66983—21no—
323#66983—21no—
324#66983—21no—
325#66983C2311yescharacteristic
326#66983C2311yescharacteristic
327#66983C2311yescharacteristic
328#66983C2311yescharacteristic
329C2×(C2×D11)⋊C4—21no—
330C2×C4⋊Dic11C2311yescharacteristic
331C2×C4⋊Dic11C2311yescharacteristic
332#66977—21no—
333#66977C2311yescharacteristic
334#66977C2311yescharacteristic
335#66977C2311yescharacteristic
336#66977C2311yescharacteristic
337C2×C4×Dic11—21no—
338C2×#4318C2311yescharacteristic
339C22×C11⋊C8C2311yescharacteristic
340#66968—42no—
341SD16×D11—42no—
342#66964—42no—
343D8×D11—42no—
344#66960—42no—
345C2×Dic44C2311yescharacteristic
346C2×D88C2311yescharacteristic
347C2×#4314C2311yescharacteristic
348C2×#4314C2311yescharacteristic
349#66954—42no—
350C2×#4313C2311yescharacteristic
351C2×#4313C2311yescharacteristic
352C2×#4313C2311yescharacteristic
353C2×#4313C2311yescharacteristic
354C2×C8×D11C2311yescharacteristic
355C2×C8×D11C2311yescharacteristic
356C2×C8×D11C2311yescharacteristic
357C2×C8×D11C2311yescharacteristic
358#66950—21no—
359#66950C2311yescharacteristic
360#66950C2311yescharacteristic
361#66950C2311yescharacteristic
362#66950C2311yescharacteristic
363#66948—21no—
364#66948C2311yescharacteristic
365#66948C2311yescharacteristic
366#66948C2311yescharacteristic
367#66948C2311yescharacteristic
368#66947—21no—
369#66947—21no—
370#66947—21no—
371#66947—21no—
372#66946—21no—
373#66946—21no—
374#66945—21no—
375#66945—21no—
376#66945C2311yescharacteristic
377#66945C2311yescharacteristic
378#66945C2311yescharacteristic
379#66945C2311yescharacteristic
380#66945C2311yescharacteristic
381#66945C2311yescharacteristic
382C4⋊C4×D11C2311yescharacteristic
383C4⋊C4×D11C2311yescharacteristic
384#66941—21no—
385#66941—21no—
386#66939—21no—
387#66938—21no—
388#66938—21no—
389#66938—21no—
390#66938—21no—
391#66938—21no—
392#66938—21no—
393#66937—21no—
394#66937—21no—
395#66937—21no—
396#66937—21no—
397#66936—21no—
398#66936—21no—
399#66936—21no—
400#66936—21no—
401#66936—21no—
402#66936—21no—
403#66935—21no—
404#66935—21no—
405#66935—21no—
406#66935—21no—
407#66935—21no—
408#66935—21no—
409#66935—21no—
410(C22⋊D11)⋊C4—21no—
411(C22⋊D11)⋊C4—21no—
412(C22⋊D11)⋊C4—21no—
413(C22⋊D11)⋊C4—21no—
414(C22⋊D11)⋊C4—21no—
415(C22⋊D11)⋊C4—21no—
416(C22⋊D11)⋊C4—21no—
417(C22⋊D11)⋊C4—21no—
418C22⋊C4×D11—21no—
419C22⋊C4×D11—21no—
420#66931—21no—
421#66931—21no—
422C4×D44—21no—
423C4×D44—21no—
424C4×D44—21no—
425C4×Dic22—21no—
426C11×#107C2311yescharacteristic
427C11×#107C2311yescharacteristic
428C11×#106C2311yescharacteristic
429C11×#106C2311yescharacteristic
430C11×#103C2311yescharacteristic
431C11×#103C2311yescharacteristic
432C11×#102C2311yescharacteristic
433C11×#102C2311yescharacteristic
434C11×#102C2311yescharacteristic
435C11×#102C2311yescharacteristic
436C11×#102C2311yescharacteristic
437C11×#102C2311yescharacteristic
438C11×C22⋊C8C2311yescharacteristic
439C11×C22⋊C8C2311yescharacteristic
440C11×C22⋊C8C2311yescharacteristic
441C11×C22⋊C8C2311yescharacteristic
442#66899C2311yescharacteristic
443#66899C2311yescharacteristic
444#66896C2311yescharacteristic
445#66896C2311yescharacteristic
446#66896C2311yescharacteristic
447#66896C2311yescharacteristic
448#66896C2311yescharacteristic
449#66896C2311yescharacteristic
450C22⋊(C11⋊C8)C2311yescharacteristic
451C22⋊(C11⋊C8)C2311yescharacteristic
452C22⋊(C11⋊C8)C2311yescharacteristic
453C22⋊(C11⋊C8)C2311yescharacteristic
454#66885C2311yescharacteristic
455#66885C2311yescharacteristic
456#66885C2311yescharacteristic
457#66885C2311yescharacteristic
458(C2×D11)⋊C8C2311yescharacteristic
459(C2×D11)⋊C8C2311yescharacteristic
460(C2×D11)⋊C8C2311yescharacteristic
461(C2×D11)⋊C8C2311yescharacteristic
462(C2×D11)⋊C8C2311yescharacteristic
463(C2×D11)⋊C8C2311yescharacteristic
464(C2×D11)⋊C8C2311yescharacteristic
465(C2×D11)⋊C8C2311yescharacteristic
466#66881C2311yescharacteristic
467#66881C2311yescharacteristic
468#66881C2311yescharacteristic
469#66881C2311yescharacteristic
470#66880C2311yescharacteristic
471#66880C2311yescharacteristic
472#66880C2311yescharacteristic
473#66880C2311yescharacteristic
474#66874C2311yescharacteristic
475#66874C2311yescharacteristic
476#66874C2311yescharacteristic
477#66874C2311yescharacteristic
478#66873C2311yescharacteristic
479#66873C2311yescharacteristic
480#66873C2311yescharacteristic
481#66873C2311yescharacteristic
482#66872C2311yescharacteristic
483#66872C2311yescharacteristic
484#66871C2311yescharacteristic
485#66871C2311yescharacteristic
486#66871C2311yescharacteristic
487#66871C2311yescharacteristic
488#66871C2311yescharacteristic
489#66871C2311yescharacteristic
490#60760—111nomaximal, Sylow
491C24×C11—21no—
492C23×D11—21no—
493C23×D11—21no—
494C23×D11—21no—
495C23×D11C2×D411yescharacteristic
496C23×D11C2×D411yescharacteristic
497C23×D11C2×D411yescharacteristic
498C11×#41—41no—
499C11×#41—41no—
500C11×#41—41no—
501C11×#41—41no—
502C2×Q8×C11C2×D411yescharacteristic
503C2×Q8×C11C2411yescharacteristic
504C2×D4×C11—21no—
505C2×D4×C11—21no—
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—41no—
513C2×D4×C11—41no—
514C2×D4×C11C2×D411yescharacteristic
515C2×D4×C11C2×D411yescharacteristic
516C2×D4×C11C2×D411yescharacteristic
517C2×D4×C11C2411yescharacteristic
518C2×D4×C11C2411yescharacteristic
519C2×D4×C11C2411yescharacteristic
520C22×C4×C11—21no—
521C22×C4×C11—21no—
522C22×C4×C11C2411yescharacteristic
523C22×C4×C11C2411yescharacteristic
524C22×C4×C11C2411yescharacteristic
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—21no—
539C2×C22⋊D11—21no—
540C2×C22⋊D11—21no—
541C2×C22⋊D11—21no—
542C2×C22⋊D11—21no—
543C2×C22⋊D11—44no—
544C2×C22⋊D11—44no—
545C2×C22⋊D11—82no—
546C2×C22⋊D11C2×D411yescharacteristic
547C2×C22⋊D11C2×D411yescharacteristic
548C2×C22⋊D11C2×D411yescharacteristic
549C2×C22⋊D11C2×D411yescharacteristic
550C2×C22⋊D11C2×D411yescharacteristic
551C2×C22⋊D11C2×D411yescharacteristic
552C22×Dic11—21no—
553C22×Dic11—21no—
554C22×Dic11—21no—
555C22×Dic11—21no—
556C22×Dic11—21no—
557C22×Dic11C2×D411yescharacteristic
558C22×Dic11C2×D411yescharacteristic
559C22×Dic11C2×D411yescharacteristic
560#4343—41no—
561#4343—41no—
562#4343—42no—
563Q8×D11—22no—
564Q8×D11—22no—
565Q8×D11—42no—
566#4341—22no—
567#4341—22no—
568#4341—41no—
569#4341—41no—
570#4341—41no—
571#4341—41no—
572#4341—42no—
573#4341—42no—
574#4341—44no—
575#4341—42no—
576#4341—44no—
577D4×D11—22no—
578D4×D11—22no—
579D4×D11—22no—
580D4×D11—22no—
581D4×D11—41no—
582D4×D11—41no—
583D4×D11—42no—
584D4×D11—42no—
585D4×D11—44no—
586D4×D11—42no—
587D4×D11—44no—
588D4×D11—82no—
589D4×D11—82no—
590#4339—22no—
591#4339—22no—
592#4339—22no—
593#4339—22no—
594#4339—41no—
595#4339—41no—
596#4339—41no—
597#4339—41no—
598#4339—41no—
599#4339—41no—
600#4339—44no—
601C2×D44—21no—
602C2×D44—21no—
603C2×D44—21no—
604C2×D44—21no—
605C2×D44—21no—
606C2×D44C2×D411yescharacteristic
607C2×D44C2×D411yescharacteristic
608C2×D44C2×D411yescharacteristic
609C2×D44C2411yescharacteristic
610C2×D44C2411yescharacteristic
611C2×C4×D11—22no—
612C2×C4×D11—22no—
613C2×C4×D11—21no—
614C2×C4×D11—21no—
615C2×C4×D11—21no—
616C2×C4×D11—21no—
617C2×C4×D11—21no—
618C2×C4×D11—21no—
619C2×C4×D11—41no—
620C2×C4×D11—41no—
621C2×C4×D11—41no—
622C2×C4×D11—41no—
623C2×C4×D11—44no—
624C2×C4×D11C2×D411yescharacteristic
625C2×C4×D11C2×D411yescharacteristic
626C2×C4×D11C2×D411yescharacteristic
627C2×C4×D11C2×D411yescharacteristic
628C2×C4×D11C2×D411yescharacteristic
629C2×C4×D11C2×D411yescharacteristic
630C2×C4×D11C2411yescharacteristic
631C2×C4×D11C2411yescharacteristic
632C2×C4×D11C2411yescharacteristic
633C2×C4×D11C2411yescharacteristic
634C2×Dic22—21no—
635C2×Dic22C2×D411yescharacteristic
636C2×Dic22C2×D411yescharacteristic
637C2×Dic22C2×D411yescharacteristic
638C2×Dic22C2411yescharacteristic
639C2×Dic22C2411yescharacteristic
640C11×SD16—41no—
641C11×SD16—41no—
642C11×D8—41no—
643C11×D8—41no—
644C11×M16—41no—
645C2×C8×C11—41no—
646C2×C8×C11C2411yescharacteristic
647C2×C8×C11C2411yescharacteristic
648C2×C8×C11C2411yescharacteristic
649C2×C8×C11C2411yescharacteristic
650C11×C4⋊C4—21no—
651C11×C4⋊C4—21no—
652C11×C4⋊C4—21no—
653C11×C4⋊C4C2411yescharacteristic
654C11×C4⋊C4C2411yescharacteristic
655C11×C4⋊C4C2411yescharacteristic
656C11×C4⋊C4C2411yescharacteristic
657C11×C22⋊C4—21no—
658C11×C22⋊C4—21no—
659C11×C22⋊C4—21no—
660C11×C22⋊C4—21no—
661C11×C22⋊C4—21no—
662C11×C22⋊C4—21no—
663C11×C22⋊C4—21no—
664C11×C22⋊C4—21no—
665C11×C22⋊C4—21no—
666C42×C11—21no—
667C22⋊Dic11—21no—
668C22⋊Dic11—21no—
669C22⋊Dic11—21no—
670C22⋊Dic11—21no—
671C22⋊Dic11—21no—
672C22⋊Dic11—21no—
673C22⋊Dic11—21no—
674C22⋊Dic11—21no—
675C22⋊Dic11—21no—
676C22⋊Dic11—21no—
677#4326—41no—
678#4325—41no—
679#4324—41no—
680#4324—41no—
681#4324—41no—
682#4323—41no—
683#4323—41no—
684#4323—41no—
685(C2×D11)⋊C4—21no—
686(C2×D11)⋊C4—21no—
687(C2×D11)⋊C4—21no—
688(C2×D11)⋊C4—21no—
689(C2×D11)⋊C4—21no—
690(C2×D11)⋊C4—21no—
691(C2×D11)⋊C4—21no—
692(C2×D11)⋊C4—21no—
693(C2×D11)⋊C4—21no—
694(C2×D11)⋊C4—21no—
695(C2×D11)⋊C4—21no—
696(C2×D11)⋊C4—21no—
697(C2×D11)⋊C4—21no—
698(C2×D11)⋊C4—21no—
699(C2×D11)⋊C4—21no—
700(C2×D11)⋊C4—21no—
701(C2×D11)⋊C4—21no—
702(C2×D11)⋊C4—21no—
703(C2×D11)⋊C4—21no—
704(C2×D11)⋊C4—21no—
705C4⋊Dic11—21no—
706C4⋊Dic11—21no—
707C4⋊Dic11—21no—
708C4⋊Dic11—21no—
709C4⋊Dic11—21no—
710C4⋊Dic11—21no—
711C4⋊Dic11C2411yescharacteristic
712C4⋊Dic11C2411yescharacteristic
713C4⋊Dic11C2411yescharacteristic
714C4⋊Dic11C2411yescharacteristic
715Dic11⋊C4—21no—
716Dic11⋊C4—21no—
717Dic11⋊C4—21no—
718Dic11⋊C4—21no—
719Dic11⋊C4—21no—
720Dic11⋊C4—21no—
721Dic11⋊C4—21no—
722Dic11⋊C4—21no—
723C4×Dic11—21no—
724C4×Dic11—21no—
725C4×Dic11—21no—
726C4×Dic11—21no—
727C4×Dic11—21no—
728C4×Dic11—21no—
729#4318—41no—
730C2×C11⋊C8—41no—
731C2×C11⋊C8C2411yescharacteristic
732C2×C11⋊C8C2411yescharacteristic
733C2×C11⋊C8C2411yescharacteristic
734C2×C11⋊C8C2411yescharacteristic
735Dic44—41no—
736D88—41no—
737#4314—41no—
738#4314—41no—
739#4313—22no—
740#4313—22no—
741#4313—41no—
742#4313—41no—
743C8×D11—22no—
744C8×D11—22no—
745C8×D11—41no—
746C8×D11—41no—
747#3488—111no—
748#3449—111no—
749#3204—111no—
750#3204—111no—
751#3203—111no—
752#3203—111no—
753#3198—111no—
754#3198—111no—
755#3198—111no—
756#3198D1111yescharacteristic, complemented
757#3197—111no—
758#3197—111no—
759#3194—111no—
760#3194—111no—
761#3191—111no—
762#3191—111no—
763#3188—111no—
764#3188—111no—
765#3097—111no—
766#3096—111no—
767#3094—111no—
768#3091—111no—
769#3063—111no—
770#3062—111no—
771#3058—111no—
772#3057—111no—
773#3009—111no—
774#3008—111no—
775#3005—111no—
776C2×#449—111no—
777#2880—111no—
778C23×C11—21no—
779C23×C11—21no—
780C23×C11—21no—
781C23×C11—42no—
782C23×C11—81no—
783C23×C11—81no—
784C23×C11C22×D411yescharacteristic
785C23×C11C22×D411yescharacteristic
786C23×C11C22×D411yescharacteristic
787C22×D11—22no—
788C22×D11—21no—
789C22×D11—21no—
790C22×D11—41no—
791C22×D11—41no—
792C22×D11—41no—
793C22×D11—41no—
794C22×D11—41no—
795C22×D11—41no—
796C22×D11—41no—
797C22×D11—41no—
798C22×D11—42no—
799C22×D11—42no—
800C22×D11—42no—
801C22×D11—81no—
802C22×D11—81no—
803C22×D11—81no—
804C22×D11—81no—
805C22×D11—81no—
806C22×D11—81no—
807C22×D11C22×D411yescharacteristic
808C22×D11C22×D411yescharacteristic
809C22×D11C22×D411yescharacteristic
810C22×D11C22×D411yescharacteristic
811Q8×C11—21no—
812Q8×C11—21no—
813Q8×C11—41no—
814D4×C11—21no—
815D4×C11—21no—
816D4×C11—21no—
817D4×C11—21no—
818D4×C11—21no—
819D4×C11—21no—
820D4×C11—41no—
821D4×C11—41no—
822D4×C11—41no—
823D4×C11—42no—
824D4×C11—42no—
825D4×C11—81no—
826D4×C11—81no—
827D4×C11—81no—
828D4×C11—81no—
829D4×C11—81no—
830D4×C11—81no—
831C2×C4×C11—21no—
832C2×C4×C11—21no—
833C2×C4×C11—21no—
834C2×C4×C11—21no—
835C2×C4×C11—21no—
836C2×C4×C11—21no—
837C2×C4×C11—21no—
838C2×C4×C11—21no—
839C2×C4×C11—21no—
840C2×C4×C11—21no—
841C2×C4×C11—21no—
842C2×C4×C11—42no—
843C2×C4×C11—81no—
844C2×C4×C11C22×D411yescharacteristic
845C2×C4×C11C22×D411yescharacteristic
846C2×C4×C11C22×D411yescharacteristic
847C2×C4×C11C2511yescharacteristic
848C22⋊D11—22no—
849C22⋊D11—22no—
850C22⋊D11—22no—
851C22⋊D11—22no—
852C22⋊D11—41no—
853C22⋊D11—41no—
854C22⋊D11—42no—
855C22⋊D11—42no—
856C22⋊D11—42no—
857C22⋊D11—42no—
858C22⋊D11—42no—
859C22⋊D11—42no—
860C22⋊D11—42no—
861C22⋊D11—42no—
862C22⋊D11—42no—
863C22⋊D11—42no—
864C22⋊D11—81no—
865C22⋊D11—81no—
866C22⋊D11—81no—
867C22⋊D11—81no—
868C22⋊D11—81no—
869C22⋊D11—81no—
870C22⋊D11—81no—
871C22⋊D11—81no—
872C2×Dic11—22no—
873C2×Dic11—21no—
874C2×Dic11—21no—
875C2×Dic11—21no—
876C2×Dic11—21no—
877C2×Dic11—21no—
878C2×Dic11—21no—
879C2×Dic11—41no—
880C2×Dic11—41no—
881C2×Dic11—42no—
882C2×Dic11—42no—
883C2×Dic11—42no—
884C2×Dic11—81no—
885C2×Dic11—81no—
886C2×Dic11C22×D411yescharacteristic
887C2×Dic11C22×D411yescharacteristic
888C2×Dic11C22×D411yescharacteristic
889C2×Dic11C22×D411yescharacteristic
890D44—22no—
891D44—22no—
892D44—21no—
893D44—21no—
894D44—21no—
895D44—21no—
896D44—41no—
897D44—42no—
898D44—42no—
899D44—81no—
900D44—81no—
901D44—81no—
902C4×D11—22no—
903C4×D11—21no—
904C4×D11—21no—
905C4×D11—21no—
906C4×D11—21no—
907C4×D11—21no—
908C4×D11—21no—
909C4×D11—22no—
910C4×D11—41no—
911C4×D11—41no—
912C4×D11—41no—
913C4×D11—41no—
914C4×D11—42no—
915C4×D11—42no—
916C4×D11—42no—
917C4×D11—42no—
918C4×D11—81no—
919C4×D11—81no—
920C4×D11H(5,𝔽2)12yes—
921C4×D11H(5,𝔽2)12yes—
922Dic22—22no—
923Dic22—22no—
924Dic22—21no—
925Dic22—21no—
926Dic22—21no—
927Dic22—21no—
928Dic22—41no—
929Dic22—42no—
930C8×C11—21no—
931C8×C11—21no—
932C8×C11—21no—
933C8×C11—21no—
934C11⋊C8—21no—
935C11⋊C8—21no—
936C11⋊C8—21no—
937C11⋊C8—21no—
938C2×H(5,𝔽2)—111no—
939C22×#41—111no—
940C22×#41—111no—
941C2×#137—111no—
942C2×AGL(1,ℤ/8)—111no—
943C22×SD16—111no—
944C22×D8—111no—
945C2×#131—111no—
946C2×#131—111no—
947#550—221no—
948#548—221no—
949#546—221no—
950#546—221no—
951#546—221no—
952D42—221no—
953D42—221no—
954D42—221no—
955#537—111no—
956#537—111no—
957#537—111no—
958#537—111no—
959#537—111no—
960#537—111no—
961#537C2×D1111yescharacteristic, complemented
962#536—111no—
963#536—111no—
964#536—221no—
965#535—111no—
966#535—111no—
967#535—111no—
968#535—111no—
969#535—221no—
970#535C2×D1111yescharacteristic, complemented
971#534—221no—
972#534—221no—
973#532—221no—
974#532—221no—
975#525—111no—
976#525—111no—
977#525—111no—
978#525—111no—
979#525—111no—
980#525—111no—
981#525—111no—
982#525—221no—
983#525—221no—
984C2×#121—111no—
985C2×#121—111no—
986C2×#121—111no—
987#520—111no—
988C2×#117—111no—
989#485—111no—
990#485—111no—
991#485—111no—
992#485—111no—
993#485—111no—
994#485C2×D1111yescharacteristic, complemented
995#484—111no—
996#484—111no—
997#484—111no—
998#483—111no—
999#483—111no—
1000#483—111no—
1001#482—111no—
1002#482—111no—
1003#482—111no—
1004#482—111no—
1005#482—111no—
1006#482—111no—
1007#482—111no—
1008#482—111no—
1009#482—111no—
1010#482C2×D1111yescharacteristic, complemented
1011#481—111no—
1012#481—111no—
1013#481—111no—
1014#481—111no—
1015#481C2×D1111yescharacteristic, complemented
1016#480—111no—
1017#480—111no—
1018#480—111no—
1019#480—111no—
1020#480C2×D1111yescharacteristic, complemented
1021#470—111no—
1022#470—111no—
1023#469—111no—
1024#469—111no—
1025#469—111no—
1026#469—111no—
1027#469—111no—
1028#469C2×D1111yescharacteristic, complemented
1029#468—111no—
1030#468—111no—
1031#468—111no—
1032#468—111no—
1033#468—111no—
1034#468—111no—
1035#468—111no—
1036#468C2×D1111yescharacteristic, complemented
1037#467—111no—
1038#467—111no—
1039#466—111no—
1040#466—111no—
1041#466—111no—
1042#466—111no—
1043#466—111no—
1044#466C2×D1111yescharacteristic, complemented
1045#465—111no—
1046#465—111no—
1047#465—111no—
1048#465—111no—
1049#465—111no—
1050#465—111no—
1051#465—111no—
1052#465C2×D1111yescharacteristic, complemented
1053#452—111no—
1054#452—111no—
1055#452—111no—
1056#452—111no—
1057#452—111no—
1058#452—111no—
1059#452—111no—
1060#452—111no—
1061#450—111no—
1062#450—111no—
1063#450—111no—
1064#450C2×D1111yescharacteristic, complemented
1065#449—111no—
1066#449—111no—
1067#449—111no—
1068#449—111no—
1069#449—111no—
1070#449—111no—
1071#449—111no—
1072#449—111no—
1073#449—111no—
1074#449—111no—
1075#449—111no—
1076#449—111no—
1077#449—111no—
1078#449—111no—
1079#449C2×D1111yescharacteristic, complemented
1080#449C2×D1111yescharacteristic, complemented
1081#447—111no—
1082#447—111no—
1083#447—111no—
1084#447C2×D1111yescharacteristic, complemented
1085#428—111no—
1086#428—111no—
1087#427—111no—
1088#427—111no—
1089#419—111no—
1090#418—111no—
1091#418—111no—
1092#418—111no—
1093#416—111no—
1094#416—111no—
1095C2×#103—111no—
1096C2×#102—111no—
1097#408—111no—
1098#408—111no—
1099#408—111no—
1100#408—111no—
1101#408—111no—
1102#408C2×D1111yescharacteristic, complemented
1103#407—111no—
1104#407—111no—
1105#407—111no—
1106C2×C22⋊C8—111no—
1107C2×C22⋊C8—111no—
1108C2×C22⋊C8—111no—
1109C22×C11—21no—
1110C22×C11—21no—
1111C22×C11—21no—
1112C22×C11—21no—
1113C22×C11—21no—
1114C22×C11—21no—
1115C22×C11—21no—
1116C22×C11—21no—
1117C22×C11—21no—
1118C22×C11—41no—
1119C22×C11—41no—
1120C22×C11—41no—
1121C22×C11—41no—
1122C22×C11—41no—
1123C22×C11—41no—
1124C22×C11—41no—
1125C22×C11—41no—
1126C22×C11—41no—
1127C22×C11—162no—
1128C22×C11C23×D411yescharacteristic
1129C2×D11—21no—
1130C2×D11—21no—
1131C2×D11—21no—
1132C2×D11—21no—
1133C2×D11—21no—
1134C2×D11—21no—
1135C2×D11—21no—
1136C2×D11—21no—
1137C2×D11—21no—
1138C2×D11—21no—
1139C2×D11—21no—
1140C2×D11—41no—
1141C2×D11—41no—
1142C2×D11—41no—
1143C2×D11—41no—
1144C2×D11—41no—
1145C2×D11—41no—
1146C2×D11—82no—
1147C2×D11—84no—
1148C2×D11—82no—
1149C2×D11—82no—
1150C2×D11—162no—
1151C2×D11—162no—
1152C2×D11#53412yes—
1153C4×C11—21no—
1154C4×C11—21no—
1155C4×C11—21no—
1156C4×C11—41no—
1157C4×C11—41no—
1158C4×C11—41no—
1159C4×C11—41no—
1160C4×C11—41no—
1161C4×C11C2×H(5,𝔽2)11yescharacteristic
1162C4×C11C2×H(5,𝔽2)11yescharacteristic
1163Dic11—21no—
1164Dic11—21no—
1165Dic11—21no—
1166Dic11—41no—
1167Dic11—41no—
1168Dic11—41no—
1169Dic11—41no—
1170Dic11—41no—
1171Dic11—41no—
1172Dic11#53412yes—
1173H(5,𝔽2)—442no—
1174H(5,𝔽2)—442no—
1175C2×#41—111no—
1176C2×#41—111no—
1177C2×#41—111no—
1178C2×#41—111no—
1179C2×#41—111no—
1180C2×#41—111no—
1181C2×#41—111no—
1182C2×#41—111no—
1183C2×#41—111no—
1184C2×#41—111no—
1185C2×#41—111no—
1186C2×#41—111no—
1187C2×#41—111no—
1188C2×#41—221no—
1189C2×#41—221no—
1190C2×#41—221no—
1191C2×#41—442no—
1192C2×#41—442no—
1193C2×#41—442no—
1194C2×#41—442no—
1195C2×#41C22×D1111yescharacteristic
1196C2×#41C22×D1111yescharacteristic
1197C22×Q8—111no—
1198C22×Q8—111no—
1199C22×D4—111no—
1200C22×D4—111no—
1201C22×D4—111no—
1202C22×D4—111no—
1203C22×D4—111no—
1204C22×D4—111no—
1205C22×D4—221no—
1206C22×D4—221no—
1207C22×D4—221no—
1208C22×D4—221no—
1209C22×D4—221no—
1210C22×D4—221no—
1211C22×D4—221no—
1212C22×D4C22×D1111yescharacteristic
1213C23×C4—111no—
1214C23×C4—111no—
1215C23×C4—111no—
1216C23×C4—221no—
1217#137—442no—
1218AGL(1,ℤ/8)—442no—
1219C2×Q16—111no—
1220C2×Q16—111no—
1221C2×SD16—111no—
1222C2×SD16—111no—
1223C2×SD16—111no—
1224C2×SD16—111no—
1225C2×SD16—111no—
1226C2×SD16—111no—
1227C2×SD16—442no—
1228C2×SD16C22×D1111yescharacteristic
1229C2×SD16C22×D1111yescharacteristic
1230C2×D8—111no—
1231C2×D8—111no—
1232C2×D8—111no—
1233C2×D8—111no—
1234C2×D8—442no—
1235C2×D8C22×D1111yescharacteristic
1236C2×D8C22×D1111yescharacteristic
1237#131—442no—
1238#131—442no—
1239C2×M16—111no—
1240C2×M16—111no—
1241C2×M16—111no—
1242C2×M16—111no—
1243C2×M16—111no—
1244C2×M16C22×D1111yescharacteristic
1245C22×C8—111no—
1246C22×C8—111no—
1247C22×C8—111no—
1248C22×C8—111no—
1249C22×C8—111no—
1250C22×C8C22×D1111yescharacteristic
1251C4⋊Q8—221no—
1252C4⋊Q8—221no—
1253#127—21no—
1254#127—221no—
1255#127—221no—
1256#127—221no—
1257#127—221no—
1258#124—21no—
1259#124—221no—
1260#124—221no—
1261#124—221no—
1262#124—221no—
1263#124—221no—
1264#124—221no—
1265#123—221no—
1266#123—221no—
1267#123—221no—
1268#123—221no—
1269#123—221no—
1270#123—221no—
1271#123—221no—
1272#123—221no—
1273#123—221no—
1274#123—221no—
1275#123—221no—
1276C22⋊Q8—21no—
1277C22⋊Q8—111no—
1278C22⋊Q8—111no—
1279C22⋊Q8—111no—
1280C22⋊Q8—111no—
1281C22⋊Q8—111no—
1282C22⋊Q8—111no—
1283C22⋊Q8—111no—
1284C22⋊Q8—111no—
1285C22⋊Q8—111no—
1286C22⋊Q8—111no—
1287C22⋊Q8—221no—
1288C22⋊Q8—221no—
1289C22⋊Q8—221no—
1290C22⋊Q8—221no—
1291C22⋊Q8—221no—
1292C22⋊Q8—221no—
1293C22⋊Q8C22×D1111yescharacteristic
1294C22⋊Q8C22×D1111yescharacteristic
1295#121—21no—
1296#121—21no—
1297#121—21no—
1298#121—111no—
1299#121—111no—
1300#121—111no—
1301#121—111no—
1302#121—111no—
1303#121—111no—
1304#121—111no—
1305#121—111no—
1306#121—111no—
1307#121—111no—
1308#121—111no—
1309#121—111no—
1310#121—111no—
1311#121—111no—
1312#121—221no—
1313#121—221no—
1314#121—221no—
1315#121—221no—
1316#121—221no—
1317#121—221no—
1318#121—221no—
1319#121—221no—
1320#121—221no—
1321#121—221no—
1322#121—221no—
1323#121—221no—
1324#121—221no—
1325#121—221no—
1326#121—221no—
1327#121—221no—
1328#121—221no—
1329#121—221no—
1330#121—221no—
1331#121—221no—
1332#121—221no—
1333#121—221no—
1334#121—221no—
1335#121—221no—
1336#121C22×D1111yescharacteristic
1337#121C22×D1111yescharacteristic
1338#121C22×D1111yescharacteristic
1339#121C22×D1111yescharacteristic
1340#121C22×D1111yescharacteristic
1341#121C22×D1111yescharacteristic
1342#120—21no—
1343#120—21no—
1344#120—221no—
1345#120—221no—
1346#120—221no—
1347#120—221no—
1348#120—221no—
1349#120—221no—
1350#120—221no—
1351#120—221no—
1352#120—221no—
1353#120—221no—
1354#120—221no—
1355#120—221no—
1356#120—221no—
1357#120—221no—
1358#120—221no—
1359C4×Q8—221no—
1360C4×D4—221no—
1361C4×D4—221no—
1362C4×D4—221no—
1363C4×D4—221no—
1364C4×D4—221no—
1365C4×D4—221no—
1366C4×D4—221no—
1367C4×D4—221no—
1368C4×D4—221no—
1369C4×D4—221no—
1370C4×D4—221no—
1371C4×D4—221no—
1372C4×D4—221no—
1373C4×D4—221no—
1374C4×D4—221no—
1375C4×D4—221no—
1376C4×D4—221no—
1377#117—111no—
1378#117—111no—
1379#117—111no—
1380#117—111no—
1381#117—111no—
1382#117—111no—
1383#117—221no—
1384#117—221no—
1385#117C22×D1111yescharacteristic
1386C2×C4⋊C4—111no—
1387C2×C4⋊C4—111no—
1388C2×C4⋊C4—111no—
1389C2×C4⋊C4—111no—
1390C2×C4⋊C4C22×D1111yescharacteristic
1391C2×C22⋊C4—221no—
1392C2×C22⋊C4—221no—
1393C2×C22⋊C4—221no—
1394C2×C22⋊C4—221no—
1395C2×C42—221no—
1396#107—111no—
1397#107—111no—
1398#107—111no—
1399#107—111no—
1400#107—111no—
1401#107—111no—
1402#107C22×D1111yescharacteristic
1403#107C22×D1111yescharacteristic
1404#106—111no—
1405#106—111no—
1406#106—111no—
1407#106—111no—
1408#106—111no—
1409#106—111no—
1410#106C22×D1111yescharacteristic
1411#106C22×D1111yescharacteristic
1412#103—111no—
1413#103—111no—
1414#103—111no—
1415#103—111no—
1416#103—111no—
1417#103—111no—
1418#103—111no—
1419#103—111no—
1420#103—111no—
1421#103—111no—
1422#103C22×D1111yescharacteristic
1423#103C22×D1111yescharacteristic
1424#102—111no—
1425#102—111no—
1426#102—111no—
1427#102—111no—
1428#102—111no—
1429#102—111no—
1430#102—111no—
1431#102—111no—
1432#102—111no—
1433#102—111no—
1434#102—111no—
1435#102—111no—
1436#102—111no—
1437#102—111no—
1438#102C22×D1111yescharacteristic
1439#102C22×D1111yescharacteristic
1440#102C22×D1111yescharacteristic
1441#102C22×D1111yescharacteristic
1442#102C22×D1111yescharacteristic
1443#102C22×D1111yescharacteristic
1444C22⋊C8—111no—
1445C22⋊C8—111no—
1446C22⋊C8—111no—
1447C22⋊C8—111no—
1448C22⋊C8—111no—
1449C22⋊C8—111no—
1450C22⋊C8—111no—
1451C22⋊C8—111no—
1452C22⋊C8—111no—
1453C22⋊C8—111no—
1454C22⋊C8—111no—
1455C22⋊C8—111no—
1456C22⋊C8C22×D1111yescharacteristic
1457C22⋊C8C22×D1111yescharacteristic
1458C22⋊C8C22×D1111yescharacteristic
1459C22⋊C8C22×D1111yescharacteristic
1460C2×C11—41no—
1461C2×C11—41no—
1462C2×C11—41no—
1463C2×C11—81no—
1464C2×C11—81no—
1465C2×C11—81no—
1466C2×C11C2×#53411yescharacteristic
1467C2×C11#358411yescharacteristic
1468C2×C11#358511yescharacteristic
1469D11—22no—
1470D11—41no—
1471D11—41no—
1472D11—41no—
1473D11—81no—
1474D11—81no—
1475C24—21no—
1476C24—111no—
1477C24—111no—
1478C24—111no—
1479C24—221no—
1480C24—221no—
1481C24—221no—
1482#41—41no—
1483#41—41no—
1484#41—41no—
1485#41—41no—
1486#41—222no—
1487#41—222no—
1488#41—222no—
1489#41—222no—
1490#41—222no—
1491#41—222no—
1492#41—441no—
1493#41—441no—
1494#41—441no—
1495#41—441no—
1496#41—441no—
1497#41—441no—
1498#41—444no—
1499#41—441no—
1500#41—441no—
1501#41—441no—
1502#41—441no—
1503#41—442no—
1504#41—442no—
1505#41—442no—
1506#41—444no—
1507#41—442no—
1508#41—441no—
1509#41—441no—
1510#41—444no—
1511C2×Q8—111no—
1512C2×Q8—111no—
1513C2×Q8—111no—
1514C2×Q8—111no—
1515C2×Q8—111no—
1516C2×Q8—221no—
1517C2×Q8—222no—
1518C2×Q8—222no—
1519C2×Q8—442no—
1520C2×Q8D4×D1111yescharacteristic
1521C2×Q8C23×D1111yescharacteristic
1522C2×D4—21no—
1523C2×D4—21no—
1524C2×D4—21no—
1525C2×D4—21no—
1526C2×D4—21no—
1527C2×D4—21no—
1528C2×D4—21no—
1529C2×D4—21no—
1530C2×D4—41no—
1531C2×D4—41no—
1532C2×D4—111no—
1533C2×D4—111no—
1534C2×D4—111no—
1535C2×D4—111no—
1536C2×D4—111no—
1537C2×D4—111no—
1538C2×D4—111no—
1539C2×D4—111no—
1540C2×D4—111no—
1541C2×D4—111no—
1542C2×D4—111no—
1543C2×D4—221no—
1544C2×D4—221no—
1545C2×D4—221no—
1546C2×D4—221no—
1547C2×D4—221no—
1548C2×D4—222no—
1549C2×D4—222no—
1550C2×D4—222no—
1551C2×D4—222no—
1552C2×D4—221no—
1553C2×D4—221no—
1554C2×D4—221no—
1555C2×D4—221no—
1556C2×D4—221no—
1557C2×D4—221no—
1558C2×D4—221no—
1559C2×D4—221no—
1560C2×D4—221no—
1561C2×D4—221no—
1562C2×D4—221no—
1563C2×D4—221no—
1564C2×D4—221no—
1565C2×D4—221no—
1566C2×D4—221no—
1567C2×D4—221no—
1568C2×D4—221no—
1569C2×D4—221no—
1570C2×D4—441no—
1571C2×D4—441no—
1572C2×D4—442no—
1573C2×D4—442no—
1574C2×D4—442no—
1575C2×D4—444no—
1576C2×D4—444no—
1577C2×D4—444no—
1578C2×D4—444no—
1579C2×D4—882no—
1580C2×D4—882no—
1581C2×D4—882no—
1582C2×D4D4×D1111yescharacteristic
1583C2×D4D4×D1111yescharacteristic
1584C2×D4D4×D1111yescharacteristic
1585C2×D4C23×D1111yescharacteristic
1586C2×D4C23×D1111yescharacteristic
1587C2×D4C23×D1111yescharacteristic
1588C22×C4—21no—
1589C22×C4—21no—
1590C22×C4—111no—
1591C22×C4—111no—
1592C22×C4—111no—
1593C22×C4—111no—
1594C22×C4—111no—
1595C22×C4—111no—
1596C22×C4—111no—
1597C22×C4—111no—
1598C22×C4—111no—
1599C22×C4—111no—
1600C22×C4—111no—
1601C22×C4—111no—
1602C22×C4—111no—
1603C22×C4—222no—
1604C22×C4—222no—
1605C22×C4—221no—
1606C22×C4—221no—
1607C22×C4—221no—
1608C22×C4—221no—
1609C22×C4—221no—
1610C22×C4—221no—
1611C22×C4—221no—
1612C22×C4—221no—
1613C22×C4—221no—
1614C22×C4—221no—
1615C22×C4—221no—
1616C22×C4—441no—
1617C22×C4—441no—
1618C22×C4—441no—
1619C22×C4—441no—
1620C22×C4—444no—
1621C22×C4C23×D1111yescharacteristic
1622C22×C4C23×D1111yescharacteristic
1623C22×C4C23×D1111yescharacteristic
1624Q16—441no—
1625Q16—441no—
1626SD16—41no—
1627SD16—41no—
1628SD16—441no—
1629SD16—441no—
1630SD16—441no—
1631SD16—441no—
1632SD16—441no—
1633SD16—441no—
1634D8—41no—
1635D8—41no—
1636D8—441no—
1637D8—441no—
1638D8—441no—
1639D8—441no—
1640M16—41no—
1641M16—222no—
1642M16—222no—
1643M16—441no—
1644M16—441no—
1645M16—441no—
1646C2×C8—41no—
1647C2×C8—111no—
1648C2×C8—111no—
1649C2×C8—111no—
1650C2×C8—111no—
1651C2×C8—222no—
1652C2×C8—222no—
1653C2×C8—441no—
1654C2×C8—441no—
1655C2×C8—441no—
1656C2×C8C23×D1111yescharacteristic
1657C2×C8C23×D1111yescharacteristic
1658C2×C8C23×D1111yescharacteristic
1659C2×C8C23×D1111yescharacteristic
1660C4⋊C4—21no—
1661C4⋊C4—21no—
1662C4⋊C4—21no—
1663C4⋊C4—111no—
1664C4⋊C4—111no—
1665C4⋊C4—111no—
1666C4⋊C4—111no—
1667C4⋊C4—221no—
1668C4⋊C4—221no—
1669C4⋊C4—221no—
1670C4⋊C4—221no—
1671C4⋊C4—221no—
1672C4⋊C4—221no—
1673C4⋊C4—221no—
1674C4⋊C4—221no—
1675C4⋊C4—221no—
1676C4⋊C4—221no—
1677C4⋊C4—221no—
1678C4⋊C4—221no—
1679C4⋊C4—221no—
1680C4⋊C4—221no—
1681C4⋊C4C23×D1111yescharacteristic
1682C4⋊C4C23×D1111yescharacteristic
1683C4⋊C4C23×D1111yescharacteristic
1684C4⋊C4C23×D1111yescharacteristic
1685C22⋊C4—21no—
1686C22⋊C4—21no—
1687C22⋊C4—21no—
1688C22⋊C4—21no—
1689C22⋊C4—21no—
1690C22⋊C4—21no—
1691C22⋊C4—21no—
1692C22⋊C4—21no—
1693C22⋊C4—21no—
1694C22⋊C4—221no—
1695C22⋊C4—221no—
1696C22⋊C4—221no—
1697C22⋊C4—221no—
1698C22⋊C4—221no—
1699C22⋊C4—221no—
1700C22⋊C4—221no—
1701C22⋊C4—221no—
1702C22⋊C4—221no—
1703C22⋊C4—221no—
1704C22⋊C4—221no—
1705C22⋊C4—221no—
1706C22⋊C4—221no—
1707C22⋊C4—221no—
1708C22⋊C4—221no—
1709C22⋊C4—221no—
1710C22⋊C4—221no—
1711C22⋊C4—221no—
1712C22⋊C4—221no—
1713C22⋊C4—221no—
1714C22⋊C4—221no—
1715C22⋊C4—221no—
1716C22⋊C4—221no—
1717C22⋊C4—221no—
1718C22⋊C4—221no—
1719C22⋊C4—221no—
1720C22⋊C4—221no—
1721C22⋊C4—221no—
1722C22⋊C4—221no—
1723C22⋊C4—221no—
1724C42—21no—
1725C42—221no—
1726C42—221no—
1727C42—221no—
1728C42—221no—
1729C42—221no—
1730C42—221no—
1731C11#6076011yescharacteristic, complemented, Sylow
1732C23—21no—
1733C23—21no—
1734C23—21no—
1735C23—42no—
1736C23—81no—
1737C23—81no—
1738C23—111no—
1739C23—111no—
1740C23—111no—
1741C23—111no—
1742C23—222no—
1743C23—221no—
1744C23—221no—
1745C23—441no—
1746C23—441no—
1747C23—441no—
1748C23—441no—
1749C23—441no—
1750C23—441no—
1751C23—441no—
1752C23—441no—
1753C23—442no—
1754C23—442no—
1755C23—442no—
1756C23—881no—
1757C23—881no—
1758C23—881no—
1759C23—881no—
1760C23—881no—
1761C23—881no—
1762C23C2×D4×D1111yescharacteristic
1763C23C2×D4×D1111yescharacteristic
1764C23C2×D4×D1111yescharacteristic
1765Q8—21no—
1766Q8—21no—
1767Q8—41no—
1768Q8—222no—
1769Q8—222no—
1770Q8—221no—
1771Q8—221no—
1772Q8—221no—
1773Q8—221no—
1774Q8—441no—
1775Q8—442no—
1776D4—21no—
1777D4—21no—
1778D4—21no—
1779D4—21no—
1780D4—21no—
1781D4—21no—
1782D4—41no—
1783D4—41no—
1784D4—41no—
1785D4—42no—
1786D4—42no—
1787D4—81no—
1788D4—81no—
1789D4—81no—
1790D4—81no—
1791D4—81no—
1792D4—81no—
1793D4—222no—
1794D4—222no—
1795D4—222no—
1796D4—222no—
1797D4—222no—
1798D4—222no—
1799D4—221no—
1800D4—221no—
1801D4—221no—
1802D4—221no—
1803D4—441no—
1804D4—442no—
1805D4—442no—
1806D4—442no—
1807D4—442no—
1808D4—441no—
1809D4—441no—
1810D4—442no—
1811D4—442no—
1812D4—442no—
1813D4—442no—
1814D4—442no—
1815D4—442no—
1816D4—442no—
1817D4—442no—
1818D4—881no—
1819D4—881no—
1820D4—881no—
1821D4—881no—
1822D4—881no—
1823D4—881no—
1824D4—881no—
1825D4—881no—
1826D4—881no—
1827D4—881no—
1828D4—881no—
1829C2×C4—21no—
1830C2×C4—21no—
1831C2×C4—21no—
1832C2×C4—21no—
1833C2×C4—21no—
1834C2×C4—21no—
1835C2×C4—21no—
1836C2×C4—21no—
1837C2×C4—21no—
1838C2×C4—21no—
1839C2×C4—21no—
1840C2×C4—42no—
1841C2×C4—81no—
1842C2×C4—111no—
1843C2×C4—112no—
1844C2×C4—112no—
1845C2×C4—111no—
1846C2×C4—111no—
1847C2×C4—111no—
1848C2×C4—222no—
1849C2×C4—222no—
1850C2×C4—222no—
1851C2×C4—221no—
1852C2×C4—221no—
1853C2×C4—221no—
1854C2×C4—221no—
1855C2×C4—221no—
1856C2×C4—221no—
1857C2×C4—221no—
1858C2×C4—221no—
1859C2×C4—221no—
1860C2×C4—221no—
1861C2×C4—221no—
1862C2×C4—221no—
1863C2×C4—441no—
1864C2×C4—441no—
1865C2×C4—441no—
1866C2×C4—441no—
1867C2×C4—442no—
1868C2×C4—442no—
1869C2×C4—442no—
1870C2×C4—442no—
1871C2×C4—442no—
1872C2×C4—441no—
1873C2×C4—441no—
1874C2×C4—442no—
1875C2×C4—442no—
1876C2×C4—881no—
1877C2×C4—881no—
1878C2×C4—881no—
1879C2×C4—881no—
1880C2×C4C2×D4×D1111yescharacteristic
1881C2×C4C2×D4×D1111yescharacteristic
1882C2×C4C2×D4×D1111yescharacteristic
1883C2×C4C24×D1111yescharacteristic
1884C8—21no—
1885C8—21no—
1886C8—21no—
1887C8—21no—
1888C8—221no—
1889C8—221no—
1890C8—221no—
1891C8—221no—
1892C22—21no—
1893C22—21no—
1894C22—21no—
1895C22—21no—
1896C22—21no—
1897C22—21no—
1898C22—21no—
1899C22—21no—
1900C22—21no—
1901C22—41no—
1902C22—41no—
1903C22—41no—
1904C22—41no—
1905C22—41no—
1906C22—41no—
1907C22—41no—
1908C22—41no—
1909C22—41no—
1910C22—112no—
1911C22—162no—
1912C22—221no—
1913C22—221no—
1914C22—221no—
1915C22—221no—
1916C22—221no—
1917C22—221no—
1918C22—221no—
1919C22—221no—
1920C22—221no—
1921C22—221no—
1922C22—221no—
1923C22—441no—
1924C22—441no—
1925C22—441no—
1926C22—441no—
1927C22—441no—
1928C22—441no—
1929C22—882no—
1930C22—882no—
1931C22—882no—
1932C22—884no—
1933C22—1762no—
1934C22—1762no—
1935C22C22×D4×D1111yescharacteristic
1936C4—21no—
1937C4—21no—
1938C4—21no—
1939C4—41no—
1940C4—41no—
1941C4—41no—
1942C4—41no—
1943C4—41no—
1944C4—112no—
1945C4—221no—
1946C4—221no—
1947C4—221no—
1948C4—441no—
1949C4—441no—
1950C4—441no—
1951C4—441no—
1952C4—441no—
1953C4—441no—
1954C4D11×H(5,𝔽2)11yescharacteristic
1955C4D11×H(5,𝔽2)11yescharacteristic
1956C2—41no—
1957C2—41no—
1958C2—41no—
1959C2—81no—
1960C2—81no—
1961C2—81no—
1962C2—222no—
1963C2—441no—
1964C2—441no—
1965C2—441no—
1966C2—881no—
1967C2—881no—
1968C2D11×#53411yescharacteristic
1969C2#1308338811yescharacteristic
1970C2#1308339111yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3198C2
socleC22×C11C23×D4
hypercenter#3198D11
hypocenterC11#60760
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3198

Complements

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

NH ≅ G/Ntype
1. #13082283C2semidirect
2. #13081944C2semidirect
3. #13079528C2semidirect
4. #13079525C2semidirect
5. #13079516C2semidirect
6. #13079513C2semidirect
7. #13079473C2semidirect
8. #13079468C2semidirect
9. #13079467C2semidirect
10. #13079460C2semidirect
11. #13079452C2semidirect
12. #13079431C2semidirect
13. #13079427C2semidirect
14. #13079407C2semidirect
15. #13079405C2semidirect
16. #13079384C2semidirect
17. #13079376C2semidirect
18. #13078582C2semidirect
19. #13078569C2semidirect
20. #13078551C2semidirect
21. #13078526C2semidirect
22. #13078302C2semidirect
23. #13078295C2semidirect
24. #13078262C2semidirect
25. #13078250C2semidirect
26. #13077888C2semidirect
27. #13077879C2semidirect
28. #13077854C2semidirect
29. D11×#449C2semidirect
30. #13077064C2semidirect
31. C11×#3198C2semidirect
33. C2×#41×D11C22semidirect
35. C11×#537C22semidirect
36. C11×#535C22semidirect
37. #10623364C22semidirect
38. #10623364C22semidirect
39. #10623364C22semidirect
40. C2×#66991C22semidirect
41. C2×#66968C22semidirect
42. C2×SD16×D11C22semidirect
43. C2×#66964C22semidirect
44. C2×D8×D11C22semidirect
45. C2×#66960C22semidirect
46. C2×#66954C22semidirect
53. #10623159C22semidirect
55. #10623158C22semidirect
56. #10623158C22semidirect
58. #10623139C22semidirect
62. #10623138C22semidirect
63. #10623138C22semidirect
66. #10623137C22semidirect
67. #10623137C22semidirect
68. #10623137C22semidirect
72. D11×#121C22semidirect
79. #10623055C22semidirect
81. #10623041C22semidirect
82. C2×#66945C22semidirect
83. C11×#485C22semidirect
84. C11×#482C22semidirect
85. C11×#481C22semidirect
86. C11×#480C22semidirect
87. C11×#469C22semidirect
88. C11×#468C22semidirect
89. C11×#466C22semidirect
90. C11×#465C22semidirect
91. C11×#450C22semidirect
92. C11×#449C22semidirect
93. C11×#449C22semidirect
94. C11×#447C22semidirect
95. C11×#408C22semidirect
96. #10622852C22semidirect
97. #10622851C22semidirect
98. #10622847C22semidirect
99. #10622831C22semidirect
100. #10622830C22semidirect
101. #10622786C22semidirect
102. #10622785C22semidirect
103. #10622785C22semidirect
104. #10622784C22semidirect
105. #10622784C22semidirect
106. #10622782C22semidirect
107. #10622772C22semidirect
108. #10622772C22semidirect
109. #10622771C22semidirect
110. #10622771C22semidirect
111. #10622771C22semidirect
112. #10622769C22semidirect
113. #10622750C22semidirect
114. #10622748C22semidirect
115. #10622739C22semidirect
116. #10622727C22semidirect
117. #10622727C22semidirect
118. C2×(C2×D11)⋊C8C22semidirect
119. #10622664C22semidirect
120. #10622662C22semidirect
121. #10622660C22semidirect
122. #10622657C22semidirect
123. #10622655C22semidirect
124. #10622655C22semidirect
125. #10622654C22semidirect
126. #10622652C22semidirect
127. #10622651C22semidirect
128. #10622651C22semidirect
129. #10622650C22semidirect
130. #10622650C22semidirect
131. #10622650C22semidirect
132. #10622647C22semidirect
133. #10622646C22semidirect
134. #10622646C22semidirect
135. #10622616C22semidirect
136. #10622609C22semidirect
137. #10622583C22semidirect
138. #10622580C22semidirect
139. #10622500C22semidirect
140. #10622499C22semidirect
141. #10622498C22semidirect
142. #10622498C22semidirect
143. #10622497C22semidirect
144. #10622495C22semidirect
145. #10622494C22semidirect
146. #10622494C22semidirect
147. #10622480C22semidirect
148. #10622480C22semidirect
149. #10622480C22semidirect
150. #10622479C22semidirect
151. #10622478C22semidirect
152. #10622477C22semidirect
153. #10622473C22semidirect
154. #10622473C22semidirect
155. #10622429C22semidirect
156. #10622428C22semidirect
157. #10622425C22semidirect
158. #10622424C22semidirect
159. #10622423C22semidirect
160. #10622418C22semidirect
161. #10622415C22semidirect
162. D11×#103C22semidirect
163. #10622396C22semidirect
164. #10622396C22semidirect
165. #10622394C22semidirect
166. #10622394C22semidirect
167. #10622393C22semidirect
168. #10622393C22semidirect
169. #10622392C22semidirect
170. #10622392C22semidirect
171. #10622392C22semidirect
172. #10622392C22semidirect
173. #10622392C22semidirect
174. #10622391C22semidirect
175. #10622390C22semidirect
176. #10622389C22semidirect
177. #10622388C22semidirect
178. #10622388C22semidirect
179. #10622388C22semidirect
180. #10622386C22semidirect
181. #10622385C22semidirect
182. #10622385C22semidirect
183. #10622383C22semidirect
184. #10622383C22semidirect
185. #10622383C22semidirect
186. D11×#102C22semidirect
187. #10622348C22semidirect
188. #10622348C22semidirect
189. #10622347C22semidirect
190. #10622347C22semidirect
191. #10622346C22semidirect
192. #10622346C22semidirect
195. #10622340C22semidirect
196. #10622340C22semidirect
197. #10622339C22semidirect
198. #10622339C22semidirect
199. D11×C22⋊C8C22semidirect
200. D11×C22⋊C8C22semidirect
201. #10622334C22semidirect
202. #10622334C22semidirect
756. #3198D11semidirect
961. #537C2×D11semidirect
970. #535C2×D11semidirect
994. #485C2×D11semidirect
1010. #482C2×D11semidirect
1015. #481C2×D11semidirect
1020. #480C2×D11semidirect
1028. #469C2×D11semidirect
1036. #468C2×D11semidirect
1044. #466C2×D11semidirect
1052. #465C2×D11semidirect
1064. #450C2×D11semidirect
1079. #449C2×D11semidirect
1080. #449C2×D11semidirect
1084. #447C2×D11semidirect
1102. #408C2×D11semidirect
1731. C11#60760semidirect

Maximal subgroups

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

subgroupindex
#130822832
#130819442
#130795282
#130795252
#130795162
#130795132
#130794732
#130794682
#130794672
#130794602
#130794522
#130794312
#130794272
#130794072
#130794052
#130793842
#130793762
#130785822
#130785692
#130785512
#130785262
#130783022
#130782952
#130782622
#130782502
#130778882
#130778792
#130778542
D11×#4492
#130770642
C11×#31982
#6076011