Finite Group Databasebeta

← #15636631

Subgroups — #15636631

Order 2816.

1836 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082590C211yesmaximal, characteristic, complemented
2#13082573C211yesmaximal, characteristic, complemented
3#13081670C211yesmaximal, characteristic, complemented
4#13081512C211yesmaximal, characteristic, complemented
5#13081279C211yesmaximal, characteristic, complemented
6#13081257C211yesmaximal, characteristic, complemented
7#13081227C211yesmaximal, characteristic, complemented
8#13081127C211yesmaximal, characteristic, complemented
9#13080542C211yesmaximal, characteristic, complemented
10#13080538C211yesmaximal, characteristic, complemented
11#13080531C211yesmaximal, characteristic, complemented
12#13080454C211yesmaximal, characteristic, complemented
13#13080445C211yesmaximal, characteristic, complemented
14#13080438C211yesmaximal, characteristic, complemented
15#13080213C211yesmaximal, characteristic, complemented
16#13080146C211yesmaximal, characteristic, complemented
17#13080138C211yesmaximal, characteristic, complemented
18#13079289C211yesmaximal, characteristic, complemented
19#13079277C211yesmaximal, characteristic, complemented
20#13079170C211yesmaximal, characteristic, complemented
21#13078900C211yesmaximal, characteristic, complemented
22#13078896C211yesmaximal, characteristic, complemented
23#13078870C211yesmaximal, characteristic, complemented
24#13078864C211yesmaximal, characteristic, complemented
25#13078773C211yesmaximal, characteristic, complemented
26#13078762C211yesmaximal, characteristic, complemented
27#13077586C211yesmaximal, characteristic, complemented
28#13077447C211yesmaximal, characteristic, complemented
29#13077446C211yesmaximal, characteristic, complemented
30#13077387C211yesmaximal, characteristic, complemented
31C11×#3348C211yesmaximal, characteristic, complemented
32C11×#555C2211yescharacteristic
33C11×#552C2211yescharacteristic, complemented
34C2×#66967C2211yescharacteristic
35C2×#66961C2211yescharacteristic
36C2×#66957C2211yescharacteristic
37#10623264C2211yescharacteristic
38#10623258C2211yescharacteristic
39#10623239—21no—
40#10623238—21no—
41#10623228C2211yescharacteristic, complemented
42#10623224—21no—
43#10623221C2211yescharacteristic, complemented
44D11×#125—21no—
45#10623210—21no—
46#10623209—21no—
47#10623208—21no—
48D11×#124—21no—
49#10623192—21no—
50#10623191—21no—
51#10623162C2211yescharacteristic
52#10623162C2211yescharacteristic, complemented
53#10623156C2211yescharacteristic, complemented
54#10623153C2211yescharacteristic, complemented
55#10623144—21no—
56#10623143C2211yescharacteristic
57#10623141—21no—
58#10623140C2211yescharacteristic
59#10623134C2211yescharacteristic
60#10623127C2211yescharacteristic
61#10623105C2211yescharacteristic, complemented
62#10623098C2211yescharacteristic, complemented
63#10623090C2211yescharacteristic
64#10623082C2211yescharacteristic, complemented
65#10623081C2211yescharacteristic
66#10623076C2211yescharacteristic
67#10623069C2211yescharacteristic
68#10623064C2211yescharacteristic
69#10623063C2211yescharacteristic
70#10623060—21no—
71#10623060C2211yescharacteristic, complemented
72#10623059—21no—
73#10623059—21no—
74#10623058—21no—
75#10623053C2211yescharacteristic
76#10623053C2211yescharacteristic, complemented
77#10623052C2211yescharacteristic
78#10623042C2211yescharacteristic
79#10623035C2211yescharacteristic, complemented
80C11×#501C2211yescharacteristic, complemented
81C11×#485C2211yescharacteristic, complemented
82C11×#485C2211yescharacteristic, complemented
83C11×#482C2211yescharacteristic, complemented
84C11×#481C2211yescharacteristic
85C11×#478C2211yescharacteristic, complemented
86C11×#475C2211yescharacteristic, complemented
87C11×#468C2211yescharacteristic
88C11×#465C2211yescharacteristic, complemented
89C11×#440C2211yescharacteristic, complemented
90C11×#435C2211yescharacteristic, complemented
91C11×#428C2211yescharacteristic, complemented
92C11×#427C2211yescharacteristic, complemented
93#10622788C2211yescharacteristic
94#10622780C2211yescharacteristic, complemented
95SD16×Dic11C2211yescharacteristic, complemented
96#10622750C2211yescharacteristic, complemented
97#10622741C2211yescharacteristic
98#10622735C2211yescharacteristic, complemented
99#10622727C2211yescharacteristic, complemented
100#10622724C2211yescharacteristic, complemented
101C2×C8×Dic11C2211yescharacteristic, complemented
102#10622706C2211yescharacteristic, complemented
103#10622697C2211yescharacteristic, complemented
104#10622681C2211yescharacteristic, complemented
105#10622679C2211yescharacteristic
106#10622664C2211yescharacteristic, complemented
107#10622661C2211yescharacteristic, complemented
108#10622660C2211yescharacteristic
109#10622659C2211yescharacteristic
110#10622654C2211yescharacteristic
111#10622654C2211yescharacteristic, complemented
112#10622650C2211yescharacteristic
113#10622650C2211yescharacteristic, complemented
114#10622641C2211yescharacteristic, complemented
115C4×#4325C2211yescharacteristic
116#10622632C2211yescharacteristic, complemented
117C4×#4323C2211yescharacteristic, complemented
118D4×C11⋊C8C2211yescharacteristic, complemented
119#10622616C2211yescharacteristic, complemented
120#10622615C2211yescharacteristic
121#10622615C2211yescharacteristic, complemented
122#10622615C2211yescharacteristic, complemented
123#10622609C2211yescharacteristic, complemented
124#10622609C2211yescharacteristic, complemented
125#10622584C2211yescharacteristic, complemented
126C2×#66873C2211yescharacteristic
127#10622504C2211yescharacteristic
128#10622503C2211yescharacteristic, complemented
129#10622502C2211yescharacteristic
130#10622502C2211yescharacteristic, complemented
131#10622502C2211yescharacteristic, complemented
132#10622501C2211yescharacteristic, complemented
133#10622500C2211yescharacteristic, complemented
134#10622499C2211yescharacteristic
135#10622494C2211yescharacteristic, complemented
136#10622489C2211yescharacteristic, complemented
137#10622488C2211yescharacteristic, complemented
138#10622486C2211yescharacteristic, complemented
139#10622486C2211yescharacteristic, complemented
140#10622485C2211yescharacteristic
141#10622485C2211yescharacteristic
142#10622485C2211yescharacteristic, complemented
143#10622484C2211yescharacteristic, complemented
144#10622483C2211yescharacteristic
145#10622483C2211yescharacteristic, complemented
146#10622482C2211yescharacteristic
147#10622482C2211yescharacteristic, complemented
148#10622481C2211yescharacteristic, complemented
149#10622480C2211yescharacteristic, complemented
150#10622477C2211yescharacteristic
151#10622476C2211yescharacteristic
152#10622475C2211yescharacteristic, complemented
153#10622468C2211yescharacteristic, complemented
154#10622467C2211yescharacteristic, complemented
155#10622467C2211yescharacteristic, complemented
156#10622466C2211yescharacteristic, complemented
157#10622465C2211yescharacteristic
158#10622465C2211yescharacteristic
159#10622465C2211yescharacteristic
160#10622465C2211yescharacteristic, complemented
161#10622465C2211yescharacteristic, complemented
162#10622465C2211yescharacteristic, complemented
163#10622457C2211yescharacteristic, complemented
164#10622454C2211yescharacteristic
165#10622453C2211yescharacteristic, complemented
166#10622443C2211yescharacteristic, complemented
167#10622431C2211yescharacteristic
168#10622431C2211yescharacteristic
169#10622431C2211yescharacteristic, complemented
170#10622430C2211yescharacteristic
171#10622424C2211yescharacteristic
172#10622423C2211yescharacteristic, complemented
173#10622417C2211yescharacteristic, complemented
174#10622406C2211yescharacteristic, complemented
175#10622405C2211yescharacteristic, complemented
176#10622405C2211yescharacteristic, complemented
177#10622402C2211yescharacteristic, complemented
178#10622401C2211yescharacteristic, complemented
179#10622400C2211yescharacteristic, complemented
180#10622399C2211yescharacteristic
181#10622398C2211yescharacteristic, complemented
182#10622389C2211yescharacteristic
183#10622389C2211yescharacteristic
184D11×#102C2211yescharacteristic
185#10622381C2211yescharacteristic, complemented
186#10622380C2211yescharacteristic, complemented
187#10622375C2211yescharacteristic
188#10622373C2211yescharacteristic
189#10622371C2211yescharacteristic, complemented
190#10622370C2211yescharacteristic, complemented
191#10622347C2211yescharacteristic, complemented
192#10622346C2211yescharacteristic
193#10622346C2211yescharacteristic, complemented
194#10622344C2211yescharacteristic
195(C22⋊D11)⋊C8C2211yescharacteristic
196(C22⋊D11)⋊C8C2211yescharacteristic, complemented
197#10622333C2211yescharacteristic, complemented
198#10622332C2211yescharacteristic, complemented
199#10622328C2211yescharacteristic, complemented
200#10622324C2211yescharacteristic
201#10622321C2211yescharacteristic, complemented
202#10622314C2211yescharacteristic, complemented
203C2×#4343C2311yescharacteristic
204C2×Q8×D11—21no—
205C2×#4341—21no—
206C2×D4×D11—21no—
207C2×D4×D11C2311yescharacteristic
208C2×#4339C2311yescharacteristic
209C2×#4339C2311yescharacteristic
210C2×#4339C2311yescharacteristic
211C22×D44C2311yescharacteristic
212C2×C11×SD16C2311yescharacteristic
213C2×C11×M16C2311yescharacteristic
214C22×C8×C11C2311yescharacteristic
215C11×C4⋊Q8C2311yescharacteristic
216C11×#126—21no—
217C11×#125—21no—
218C11×#125C2311yescharacteristic
219C11×#124—21no—
220C11×#124—21no—
221C11×#123—21no—
222C11×C22⋊Q8C2311yescharacteristic
223C11×C22⋊Q8C2311yescharacteristic
224C11×#121—21no—
225C11×#121C2311yescharacteristic
226C11×#121C2311yescharacteristic
227C4×Q8×C11C2311yescharacteristic
228C4×D4×C11C2311yescharacteristic
229C4×D4×C11C2311yescharacteristic
230C11×#117—21no—
231C11×#117—21no—
232C11×#117C2311yescharacteristic
233C11×#117C2311yescharacteristic
234C11×#117C2311yescharacteristic
235C2×C11×C4⋊C4C2311yescharacteristic
236#67000—21no—
237#66999—21no—
238#66999—21no—
239Q8×Dic11C2311yescharacteristic
240#66997C2311yescharacteristic
241#66997C2311yescharacteristic
242C2×#4326C2311yescharacteristic
243C2×#4325C2311yescharacteristic
244C2×#4325C2311yescharacteristic
245#66993C2311yescharacteristic
246#66992—21no—
247#66992D411yescharacteristic
248#66991—21no—
249#66991—21no—
250#66990—21no—
251#66990—21no—
252#66990—21no—
253#66989—21no—
254#66989C2311yescharacteristic
255#66988—21no—
256#66988D411yescharacteristic
257D4×Dic11C2311yescharacteristic
258C2×#4324C2311yescharacteristic
259C2×#4324C2311yescharacteristic
260C2×#4323C2311yescharacteristic
261#66983C2311yescharacteristic
262#66982—21no—
263C4×C22⋊D11—21no—
264C4×C22⋊D11—21no—
265C4×C22⋊D11—21no—
266C4×C22⋊D11—21no—
267C4×C22⋊D11—21no—
268C4×C22⋊D11C2311yescharacteristic
269C4×C22⋊D11C2311yescharacteristic
270C2×(C2×D11)⋊C4—21no—
271#66979C2311yescharacteristic
272#66977—21no—
273#66977C2311yescharacteristic
274#66977C2311yescharacteristic
275#66977C2311yescharacteristic
276C2×C4×Dic11C2311yescharacteristic
277C22×C11⋊C8C2311yescharacteristic
278C22×C11⋊C8C2311yescharacteristic
279#66967—24no—
280#66961—24no—
281C2×Dic44C2311yescharacteristic
282C2×Dic44C2311yescharacteristic
283#66957—24no—
284C2×D88C2311yescharacteristic
285C2×D88C2311yescharacteristic
286C2×#4314C2311yescharacteristic
287C2×#4314C2311yescharacteristic
288C2×#4314C2311yescharacteristic
289C2×#4314C2311yescharacteristic
290C2×#4314C2311yescharacteristic
291C2×#4313C2311yescharacteristic
292C2×C8×D11C2311yescharacteristic
293#66951—21no—
294#66951—21no—
295#66951—21no—
296#66951D411yescharacteristic
297#66950—21no—
298#66950C2311yescharacteristic
299#66950C2311yescharacteristic
300#66950C2311yescharacteristic
301#66949—21no—
302#66949—21no—
303#66949—21no—
304#66949—21no—
305#66949—21no—
306#66948C2311yescharacteristic
307#66947—21no—
308#66947—21no—
309#66947—21no—
310#66947—21no—
311#66946—21no—
312#66946C2311yescharacteristic
313#66946C2311yescharacteristic
314#66946C2311yescharacteristic
315#66946C2311yescharacteristic
316#66946C2311yescharacteristic
317#66946C2311yescharacteristic
318#66946C2311yescharacteristic
319#66946C2311yescharacteristic
320#66945—21no—
321#66945C2311yescharacteristic
322C4⋊C4×D11—21no—
323C4⋊C4×D11—21no—
324C4⋊C4×D11—21no—
325C4⋊C4×D11—21no—
326C4⋊C4×D11—21no—
327C4⋊C4×D11—21no—
328C4⋊C4×D11C2311yescharacteristic
329#66943—21no—
330#66943—21no—
331#66943—21no—
332#66943C2311yescharacteristic
333#66942—21no—
334#66942—21no—
335#66942—21no—
336#66942—21no—
337#66942—21no—
338#66942D411yescharacteristic
339#66941C2311yescharacteristic
340#66941C2311yescharacteristic
341#66941C2311yescharacteristic
342#66940—21no—
343#66940C2311yescharacteristic
344#66940C2311yescharacteristic
345#66940C2311yescharacteristic
346#66940C2311yescharacteristic
347#66940C2311yescharacteristic
348#66940C2311yescharacteristic
349#66939D411yescharacteristic
350#66938—21no—
351#66938—21no—
352#66938—21no—
353#66938—21no—
354#66938D411yescharacteristic
355#66937—21no—
356#66937—21no—
357#66937—21no—
358#66937—21no—
359#66937—21no—
360#66936—21no—
361#66936—21no—
362#66936—21no—
363#66936—21no—
364#66936—21no—
365#66936—21no—
366#66936—21no—
367#66935—21no—
368(C22⋊D11)⋊C4—21no—
369(C22⋊D11)⋊C4—21no—
370(C22⋊D11)⋊C4—21no—
371(C22⋊D11)⋊C4—21no—
372(C22⋊D11)⋊C4—21no—
373(C22⋊D11)⋊C4—21no—
374C22⋊C4×D11—21no—
375C22⋊C4×D11—21no—
376C22⋊C4×D11—21no—
377C22⋊C4×D11—21no—
378C22⋊C4×D11—21no—
379#66932—21no—
380#66932—21no—
381#66932—21no—
382#66932—21no—
383#66932—21no—
384#66932D411yescharacteristic
385#66931—21no—
386#66931—21no—
387#66931D411yescharacteristic
388#66930—21no—
389#66929—21no—
390#66928—21no—
391#66928C2311yescharacteristic
392C4×D44—21no—
393C4×D44—21no—
394C4×D44—21no—
395C4×D44C2311yescharacteristic
396C4×D44C2311yescharacteristic
397#66925—21no—
398#66925—21no—
399#66925—21no—
400#66925—21no—
401#66925—21no—
402#66925C2311yescharacteristic
403C42×D11—21no—
404C42×D11—21no—
405#66923—21no—
406#66923—21no—
407#66922C2311yescharacteristic
408C4×Dic22—21no—
409C4×Dic22—21no—
410C4×Dic22C2311yescharacteristic
411C11×#107C2311yescharacteristic
412C11×#107C2311yescharacteristic
413C11×#107C2311yescharacteristic
414C11×#107C2311yescharacteristic
415C11×#106C2311yescharacteristic
416C11×#106C2311yescharacteristic
417C11×#106C2311yescharacteristic
418C11×#106C2311yescharacteristic
419C11×#106C2311yescharacteristic
420C11×C4⋊C8C2311yescharacteristic
421C11×#103C2311yescharacteristic
422C11×#103C2311yescharacteristic
423C11×#103C2311yescharacteristic
424C11×#102C2311yescharacteristic
425C11×#102C2311yescharacteristic
426C11×#102C2311yescharacteristic
427C11×C22⋊C8C2311yescharacteristic
428C11×C22⋊C8C2311yescharacteristic
429C11×#97C2311yescharacteristic
430#66899C2311yescharacteristic
431#66896C2311yescharacteristic
432C22⋊(C11⋊C8)C2311yescharacteristic
433C22⋊(C11⋊C8)C2311yescharacteristic
434#66885C2311yescharacteristic
435#66885C2311yescharacteristic
436#66885C2311yescharacteristic
437(C2×D11)⋊C8C2311yescharacteristic
438(C2×D11)⋊C8C2311yescharacteristic
439#66881C2311yescharacteristic
440#66880C2311yescharacteristic
441#66880C2311yescharacteristic
442#66880C2311yescharacteristic
443#66879C2311yescharacteristic
444#66879C2311yescharacteristic
445#66879C2311yescharacteristic
446Dic11⋊C8C2311yescharacteristic
447Dic11⋊C8C2311yescharacteristic
448Dic11⋊C8C2311yescharacteristic
449Dic11⋊C8C2311yescharacteristic
450C8×Dic11C2311yescharacteristic
451C8×Dic11C2311yescharacteristic
452C8×Dic11C2311yescharacteristic
453C8×Dic11C2311yescharacteristic
454C8×Dic11C2311yescharacteristic
455#66874C2311yescharacteristic
456#66874C2311yescharacteristic
457#66874C2311yescharacteristic
458#66874C2311yescharacteristic
459#66874C2311yescharacteristic
460#66874C2311yescharacteristic
461#66874C2311yescharacteristic
462#66874C2311yescharacteristic
463#66874C2311yescharacteristic
464#66873C2311yescharacteristic
465#66873C2311yescharacteristic
466#66873C2311yescharacteristic
467#66873C2311yescharacteristic
468#66873C2311yescharacteristic
469#66873C2311yescharacteristic
470#66873C2311yescharacteristic
471#66873C2311yescharacteristic
472#66873C2311yescharacteristic
473#66872C2311yescharacteristic
474#66872C2311yescharacteristic
475#66872C2311yescharacteristic
476#66872C2311yescharacteristic
477#66871C2311yescharacteristic
478#66871C2311yescharacteristic
479C4⋊(C11⋊C8)C2311yescharacteristic
480C4×C11⋊C8C2311yescharacteristic
481#61493—111nomaximal, Sylow
482C23×D11—21no—
483C23×D11—21no—
484C2×Q8×C11—21no—
485C2×Q8×C11C2411yescharacteristic
486C2×D4×C11—21no—
487C2×D4×C11—21no—
488C2×D4×C11C2×D411yescharacteristic
489C2×D4×C11C2411yescharacteristic
490C22×C4×C11—21no—
491C22×C4×C11—21no—
492C22×C4×C11C2411yescharacteristic
493C22×C4×C11C2411yescharacteristic
494C2×C22⋊D11—21no—
495C2×C22⋊D11—21no—
496C2×C22⋊D11—21no—
497C2×C22⋊D11—21no—
498C2×C22⋊D11—21no—
499C2×C22⋊D11—21no—
500C2×C22⋊D11—21no—
501C2×C22⋊D11C2×D411yescharacteristic
502C2×C22⋊D11C2×D411yescharacteristic
503C22×Dic11—21no—
504C22×Dic11C2×D411yescharacteristic
505C22×Dic11C2×D411yescharacteristic
506#4343—22no—
507#4343—41no—
508Q8×D11—82no—
509#4341—82no—
510D4×D11—22no—
511D4×D11—41no—
512D4×D11—82no—
513#4339—22no—
514#4339—22no—
515#4339—22no—
516#4339—41no—
517#4339—41no—
518#4339—41no—
519C2×D44—21no—
520C2×D44—21no—
521C2×D44—22no—
522C2×D44—21no—
523C2×D44—41no—
524C2×D44C2411yescharacteristic
525C2×D44C2411yescharacteristic
526C2×D44C2411yescharacteristic
527C2×C4×D11—21no—
528C2×C4×D11—21no—
529C2×C4×D11—21no—
530C2×C4×D11—21no—
531C2×C4×D11—21no—
532C2×C4×D11—21no—
533C2×C4×D11—21no—
534C2×C4×D11—21no—
535C2×C4×D11—21no—
536C2×C4×D11—21no—
537C2×C4×D11—21no—
538C2×C4×D11—21no—
539C2×C4×D11—21no—
540C2×C4×D11—21no—
541C2×C4×D11—21no—
542C2×C4×D11C2411yescharacteristic
543C2×Dic22—21no—
544C2×Dic22—21no—
545C2×Dic22—21no—
546C2×Dic22C2×D411yescharacteristic
547C2×Dic22C2411yescharacteristic
548C2×Dic22C2411yescharacteristic
549C2×Dic22C2411yescharacteristic
550C11×SD16—22no—
551C11×M16—22no—
552C2×C8×C11—22no—
553C2×C8×C11C2411yescharacteristic
554C2×C8×C11C2411yescharacteristic
555C2×C8×C11C2411yescharacteristic
556C2×C8×C11C2411yescharacteristic
557C11×C4⋊C4—21no—
558C11×C4⋊C4—21no—
559C11×C4⋊C4—21no—
560C11×C4⋊C4—21no—
561C11×C4⋊C4—21no—
562C11×C4⋊C4—21no—
563C11×C4⋊C4—21no—
564C11×C4⋊C4C2×D411yescharacteristic
565C11×C4⋊C4C2411yescharacteristic
566C11×C4⋊C4C2411yescharacteristic
567C11×C4⋊C4C2411yescharacteristic
568C11×C4⋊C4C2411yescharacteristic
569C11×C4⋊C4C2411yescharacteristic
570C11×C4⋊C4C2411yescharacteristic
571C11×C22⋊C4—21no—
572C11×C22⋊C4—21no—
573C11×C22⋊C4—21no—
574C11×C22⋊C4—21no—
575C11×C22⋊C4—21no—
576C11×C22⋊C4—21no—
577C11×C22⋊C4—21no—
578C11×C22⋊C4—21no—
579C11×C22⋊C4C2×D411yescharacteristic
580C11×C22⋊C4C2×D411yescharacteristic
581C42×C11—21no—
582C42×C11—21no—
583C42×C11—21no—
584C42×C11—21no—
585C42×C11C2411yescharacteristic
586C22⋊Dic11—21no—
587C22⋊Dic11—21no—
588C22⋊Dic11—21no—
589C22⋊Dic11—21no—
590C22⋊Dic11—21no—
591C22⋊Dic11—21no—
592C22⋊Dic11C2×D411yescharacteristic
593C22⋊Dic11C2×D411yescharacteristic
594C22⋊Dic11C2×D411yescharacteristic
595C22⋊Dic11C2×D411yescharacteristic
596#4326—41no—
597#4325—22no—
598#4325—41no—
599#4324—41no—
600#4324—41no—
601#4323—22no—
602(C2×D11)⋊C4—21no—
603(C2×D11)⋊C4—21no—
604(C2×D11)⋊C4—21no—
605(C2×D11)⋊C4—21no—
606(C2×D11)⋊C4—21no—
607(C2×D11)⋊C4—21no—
608(C2×D11)⋊C4—21no—
609(C2×D11)⋊C4—21no—
610(C2×D11)⋊C4—21no—
611(C2×D11)⋊C4—21no—
612(C2×D11)⋊C4—21no—
613(C2×D11)⋊C4—21no—
614(C2×D11)⋊C4—21no—
615(C2×D11)⋊C4—21no—
616(C2×D11)⋊C4—21no—
617(C2×D11)⋊C4—21no—
618(C2×D11)⋊C4—21no—
619(C2×D11)⋊C4—21no—
620(C2×D11)⋊C4C2×D411yescharacteristic
621(C2×D11)⋊C4C2×D411yescharacteristic
622(C2×D11)⋊C4C2×D411yescharacteristic
623(C2×D11)⋊C4C2×D411yescharacteristic
624C4⋊Dic11—21no—
625C4⋊Dic11—21no—
626C4⋊Dic11—21no—
627C4⋊Dic11—21no—
628C4⋊Dic11—21no—
629C4⋊Dic11—21no—
630C4⋊Dic11—21no—
631C4⋊Dic11C2×D411yescharacteristic
632C4⋊Dic11C2×D411yescharacteristic
633C4⋊Dic11C2×D411yescharacteristic
634C4⋊Dic11C2411yescharacteristic
635C4⋊Dic11C2411yescharacteristic
636Dic11⋊C4—21no—
637Dic11⋊C4—21no—
638Dic11⋊C4—21no—
639Dic11⋊C4—21no—
640Dic11⋊C4—21no—
641Dic11⋊C4—21no—
642Dic11⋊C4—21no—
643Dic11⋊C4—21no—
644Dic11⋊C4—21no—
645Dic11⋊C4—21no—
646Dic11⋊C4—21no—
647Dic11⋊C4—21no—
648Dic11⋊C4—21no—
649Dic11⋊C4—21no—
650Dic11⋊C4—21no—
651Dic11⋊C4—21no—
652Dic11⋊C4—21no—
653Dic11⋊C4—21no—
654Dic11⋊C4C2×D411yescharacteristic
655Dic11⋊C4C2×D411yescharacteristic
656Dic11⋊C4C2×D411yescharacteristic
657Dic11⋊C4C2×D411yescharacteristic
658Dic11⋊C4C2×D411yescharacteristic
659Dic11⋊C4C2×D411yescharacteristic
660C4×Dic11—21no—
661C4×Dic11—21no—
662C4×Dic11—21no—
663C4×Dic11—21no—
664C4×Dic11—21no—
665C4×Dic11—21no—
666C4×Dic11—21no—
667C4×Dic11—21no—
668C4×Dic11C2×D411yescharacteristic
669C4×Dic11C2×D411yescharacteristic
670C4×Dic11C2411yescharacteristic
671C4×Dic11C2411yescharacteristic
672C4×Dic11C2411yescharacteristic
673C2×C11⋊C8—41no—
674C2×C11⋊C8—41no—
675C2×C11⋊C8C2411yescharacteristic
676C2×C11⋊C8C2411yescharacteristic
677C2×C11⋊C8C2411yescharacteristic
678C2×C11⋊C8C2411yescharacteristic
679Dic44—22no—
680Dic44—41no—
681D88—22no—
682D88#4114yescomplemented
683#4314—22no—
684#4314—22no—
685#4314—22no—
686#4314—22no—
687#4314—41no—
688#4313—22no—
689C8×D11—41no—
690#3515—111no—
691#3514—111no—
692#3400—111no—
693#3384—111no—
694#3361—111no—
695#3359—111no—
696#3356—111no—
697#3348—111no—
698#3348D1111yescharacteristic, complemented
699#3303—111no—
700#3303—111no—
701#3302—111no—
702#3296—111no—
703#3296—111no—
704#3295—111no—
705#3272—111no—
706#3267—111no—
707#3267—111no—
708#3178—111no—
709#3178—111no—
710#3167—111no—
711#3125—111no—
712#3125—111no—
713#3123—111no—
714#3123—111no—
715#3116—111no—
716#3115—111no—
717#2966—111no—
718#2946—111no—
719#2946—111no—
720C4×#135—111no—
721C23×C11—21no—
722C23×C11C22×D411yescharacteristic
723C23×C11C22×D411yescharacteristic
724C22×D11—21no—
725C22×D11—21no—
726C22×D11—21no—
727C22×D11—42no—
728C22×D11—42no—
729C22×D11—81no—
730C22×D11—81no—
731C22×D11—81no—
732C22×D11—81no—
733C22×D11C22×D411yescharacteristic
734Q8×C11—21no—
735Q8×C11—21no—
736Q8×C11—81no—
737D4×C11—21no—
738D4×C11—21no—
739D4×C11—41no—
740D4×C11—81no—
741D4×C11—81no—
742C2×C4×C11—21no—
743C2×C4×C11—21no—
744C2×C4×C11—21no—
745C2×C4×C11—21no—
746C2×C4×C11—21no—
747C2×C4×C11—21no—
748C2×C4×C11—21no—
749C2×C4×C11—21no—
750C2×C4×C11—21no—
751C2×C4×C11—21no—
752C2×C4×C11—21no—
753C2×C4×C11—81no—
754C2×C4×C11—81no—
755C2×C4×C11C22×D411yescharacteristic
756C2×C4×C11C22×D411yescharacteristic
757C2×C4×C11C22×D411yescharacteristic
758C2×C4×C11C22×D411yescharacteristic
759C2×C4×C11C2511yescharacteristic
760C22⋊D11—22no—
761C22⋊D11—41no—
762C22⋊D11—42no—
763C22⋊D11—42no—
764C22⋊D11—42no—
765C22⋊D11—42no—
766C22⋊D11—42no—
767C22⋊D11—81no—
768C22⋊D11—81no—
769C2×Dic11—22no—
770C2×Dic11—21no—
771C2×Dic11—21no—
772C2×Dic11—21no—
773C2×Dic11—21no—
774C2×Dic11—21no—
775C2×Dic11—41no—
776C2×Dic11—81no—
777C2×Dic11C22×D411yescharacteristic
778C2×Dic11C22×D411yescharacteristic
779C2×Dic11C22×D411yescharacteristic
780C2×Dic11C22×D411yescharacteristic
781C2×Dic11C22×D411yescharacteristic
782C2×Dic11C22×D411yescharacteristic
783C2×Dic11C22×D411yescharacteristic
784D44—21no—
785D44—21no—
786D44—21no—
787D44—21no—
788D44—42no—
789D44—42no—
790D44—81no—
791D44C2×#4112yes—
792D44C2×#4112yes—
793C4×D11—21no—
794C4×D11—21no—
795C4×D11—42no—
796C4×D11—42no—
797C4×D11—42no—
798C4×D11—42no—
799C4×D11—42no—
800C4×D11—42no—
801C4×D11—81no—
802C4×D11—81no—
803C4×D11—81no—
804C4×D11—81no—
805C4×D11—81no—
806C4×D11—81no—
807C4×D11—81no—
808C4×D11—81no—
809C4×D11—81no—
810Dic22—22no—
811Dic22—21no—
812Dic22—21no—
813Dic22—21no—
814Dic22—21no—
815Dic22—21no—
816Dic22—21no—
817Dic22—42no—
818Dic22—81no—
819Dic22—81no—
820C8×C11—21no—
821C8×C11—21no—
822C8×C11—21no—
823C8×C11C2×#4112yes—
824C11⋊C8—21no—
825C11⋊C8—21no—
826C11⋊C8—21no—
827C11⋊C8—21no—
828C2×AGL(1,ℤ/8)—111no—
829C2×AGL(1,ℤ/8)—111no—
830C2×#135—111no—
831#559—111no—
832#557—111no—
833#556—111no—
834#555—111no—
835#555C2×D1111yescharacteristic
836#554—111no—
837#554—111no—
838#553—221no—
839#552—111no—
840#552—221no—
841#552—221no—
842#552—221no—
843#552C2×D1111yescharacteristic, complemented
844#551—221no—
845#551—221no—
846D4×Q8—111no—
847#548—221no—
848#547—111no—
849#547—111no—
850#547—111no—
851#546—111no—
852#546—111no—
853#546—221no—
854D42—111no—
855#542—111no—
856#542—111no—
857#541—111no—
858#541—111no—
859#539—221no—
860#539—221no—
861#538—221no—
862#538—221no—
863#533—111no—
864#532—111no—
865#529—111no—
866#529—221no—
867#529—221no—
868C2×#125—221no—
869C2×#124—221no—
870#520—111no—
871#520—111no—
872#518—111no—
873#518—111no—
874C4×#41—111no—
875C4×#41—111no—
876#501—111no—
877#501C2×D1111yescharacteristic, complemented
878#498—111no—
879#497—111no—
880#497—111no—
881#492—111no—
882#488—111no—
883#488—111no—
884#487—111no—
885#487—111no—
886#487—111no—
887#486—111no—
888#485—111no—
889#485—111no—
890#485—111no—
891#485—111no—
892#485C2×D1111yescharacteristic, complemented
893#485C2×D1111yescharacteristic, complemented
894#483—111no—
895#483—111no—
896#482—111no—
897#482C2×D1111yescharacteristic, complemented
898#481—111no—
899#481C2×D1111yescharacteristic
900#478—111no—
901#478—111no—
902#478—111no—
903#478C2×D1111yescharacteristic, complemented
904#477—111no—
905#476—111no—
906#476—111no—
907#476—111no—
908#475—111no—
909#475—111no—
910#475C2×D1111yescharacteristic, complemented
911#474—111no—
912#470—111no—
913#470—111no—
914#468—111no—
915#468C2×D1111yescharacteristic
916#467—111no—
917#467—111no—
918#465—111no—
919#465—111no—
920#465—111no—
921#465—111no—
922#465—111no—
923#465C2×D1111yescharacteristic, complemented
924#464—111no—
925#464—111no—
926#463—111no—
927#463—111no—
928#462—111no—
929#461—111no—
930#461—111no—
931#461—111no—
932#461—111no—
933#461—111no—
934#460—111no—
935#459—111no—
936#452—111no—
937#452—111no—
938#452—111no—
939#452—111no—
940#450—111no—
941#450—111no—
942#450—111no—
943#450—111no—
944#449—111no—
945#449—111no—
946#449—111no—
947#449—111no—
948#446—111no—
949C8×Q8—111no—
950#442—111no—
951#442—111no—
952#442—111no—
953#442—111no—
954#441—111no—
955#441—111no—
956#440—111no—
957#440—111no—
958#440—111no—
959#440—111no—
960#440—111no—
961#440C2×D1111yescharacteristic, complemented
962C4×Q16—111no—
963C4×Q16—111no—
964C4×SD16—111no—
965C4×SD16—111no—
966C4×SD16—111no—
967C4×SD16—111no—
968C4×SD16—111no—
969C4×SD16—111no—
970C4×SD16—111no—
971C4×SD16—111no—
972C4×SD16—111no—
973C4×SD16—111no—
974C4×D8—111no—
975C4×D8—111no—
976C4×D8—111no—
977C4×D8—111no—
978#436—111no—
979#435—111no—
980#435C2×D1111yescharacteristic, complemented
981C8×D4—111no—
982C8×D4—111no—
983C8×D4—111no—
984#433—111no—
985#433—111no—
986#432—111no—
987#428—111no—
988#428C2×D1111yescharacteristic, complemented
989#427C2×D1111yescharacteristic, complemented
990#416—111no—
991#416—111no—
992#416—111no—
993#416—111no—
994C2×#102—111no—
995C2×#102—111no—
996#405—111no—
997#405—111no—
998C2×C4×C8—111no—
999C22×C11—21no—
1000C22×C11—21no—
1001C22×C11—21no—
1002C22×C11—21no—
1003C22×C11—21no—
1004C22×C11—21no—
1005C22×C11—41no—
1006C22×C11—41no—
1007C22×C11—41no—
1008C22×C11C23×D411yescharacteristic
1009C2×D11—21no—
1010C2×D11—22no—
1011C2×D11—22no—
1012C2×D11—21no—
1013C2×D11—21no—
1014C2×D11—41no—
1015C2×D11—41no—
1016C2×D11—41no—
1017C2×D11—41no—
1018C2×D11—41no—
1019C2×D11—41no—
1020C2×D11—41no—
1021C2×D11—162no—
1022C2×D11—162no—
1023C4×C11—21no—
1024C4×C11—21no—
1025C4×C11—21no—
1026C4×C11—21no—
1027C4×C11—41no—
1028C4×C11—41no—
1029C4×C11—41no—
1030C4×C11—41no—
1031C4×C11—41no—
1032C4×C11—41no—
1033C4×C11—41no—
1034C4×C11C22×#4111yescharacteristic
1035C4×C11#58511yescharacteristic
1036Dic11—21no—
1037Dic11—21no—
1038Dic11—21no—
1039Dic11—21no—
1040Dic11—21no—
1041Dic11—21no—
1042Dic11—41no—
1043Dic11—41no—
1044Dic11—41no—
1045Dic11—41no—
1046Dic11—41no—
1047Dic11#57712yes—
1048C2×#41—111no—
1049C2×#41—111no—
1050C2×#41—111no—
1051C2×#41—111no—
1052C2×#41—221no—
1053C22×Q8—221no—
1054C22×D4—111no—
1055C22×D4—111no—
1056C22×D4—221no—
1057AGL(1,ℤ/8)—224no—
1058AGL(1,ℤ/8)—224no—
1059#135—224no—
1060C2×Q16—111no—
1061C2×Q16—111no—
1062C2×Q16—111no—
1063C2×SD16—111no—
1064C2×SD16—111no—
1065C2×SD16—111no—
1066C2×SD16—111no—
1067C2×SD16—111no—
1068C2×SD16—111no—
1069C2×SD16—111no—
1070C2×SD16—111no—
1071C2×SD16—111no—
1072C2×SD16C22×D1111yescharacteristic
1073C2×D8—111no—
1074C2×D8—111no—
1075C2×D8—111no—
1076C2×M16—111no—
1077C2×M16C22×D1111yescharacteristic
1078C22×C8—111no—
1079C22×C8—111no—
1080C22×C8—111no—
1081C22×C8C22×D1111yescharacteristic
1082C4⋊Q8—111no—
1083C4⋊Q8—111no—
1084C4⋊Q8—111no—
1085C4⋊Q8—111no—
1086C4⋊Q8—111no—
1087C4⋊Q8—111no—
1088C4⋊Q8C22×D1111yescharacteristic
1089#127—111no—
1090#126—21no—
1091#126—111no—
1092#126—111no—
1093#126—221no—
1094#126—221no—
1095#126—221no—
1096#126—221no—
1097#126—221no—
1098#126—221no—
1099#126—221no—
1100#126—221no—
1101#126—221no—
1102#125—21no—
1103#125—111no—
1104#125—111no—
1105#125—221no—
1106#125—221no—
1107#125—221no—
1108#125—221no—
1109#125—221no—
1110#125—221no—
1111#125—221no—
1112#125—221no—
1113#125—221no—
1114#125—221no—
1115#125C22×D1111yescharacteristic
1116#124—21no—
1117#124—21no—
1118#124—111no—
1119#124—111no—
1120#124—111no—
1121#124—221no—
1122#124—221no—
1123#124—221no—
1124#124—221no—
1125#124—221no—
1126#124—221no—
1127#124—221no—
1128#123—21no—
1129#123—111no—
1130#123—111no—
1131#123—221no—
1132#123—221no—
1133#123—221no—
1134#123—221no—
1135#123—221no—
1136#123—221no—
1137#123—221no—
1138#123—221no—
1139#123—221no—
1140#123—221no—
1141#123—221no—
1142#123—221no—
1143#123—221no—
1144C22⋊Q8—111no—
1145C22⋊Q8—111no—
1146C22⋊Q8—111no—
1147C22⋊Q8—111no—
1148C22⋊Q8—111no—
1149C22⋊Q8—111no—
1150C22⋊Q8—111no—
1151C22⋊Q8—221no—
1152C22⋊Q8—221no—
1153C22⋊Q8—221no—
1154C22⋊Q8—221no—
1155C22⋊Q8—221no—
1156C22⋊Q8—221no—
1157C22⋊Q8—221no—
1158C22⋊Q8—221no—
1159C22⋊Q8—221no—
1160C22⋊Q8—221no—
1161C22⋊Q8—221no—
1162C22⋊Q8C22×D1111yescharacteristic
1163C22⋊Q8C22×D1111yescharacteristic
1164#121—21no—
1165#121—111no—
1166#121—111no—
1167#121—111no—
1168#121—221no—
1169#121—221no—
1170#121—221no—
1171#121—221no—
1172#121—221no—
1173#121—221no—
1174#121—221no—
1175#121—221no—
1176#121C22×D1111yescharacteristic
1177#121C22×D1111yescharacteristic
1178#120—221no—
1179#120—221no—
1180#120—221no—
1181#120—221no—
1182C4×Q8—111no—
1183C4×Q8—111no—
1184C4×Q8—111no—
1185C4×Q8—111no—
1186C4×Q8—111no—
1187C4×Q8—111no—
1188C4×Q8—111no—
1189C4×Q8—111no—
1190C4×Q8—221no—
1191C4×Q8—221no—
1192C4×Q8—221no—
1193C4×Q8C22×D1111yescharacteristic
1194C4×D4—111no—
1195C4×D4—111no—
1196C4×D4—111no—
1197C4×D4—111no—
1198C4×D4—111no—
1199C4×D4—111no—
1200C4×D4—111no—
1201C4×D4—111no—
1202C4×D4—111no—
1203C4×D4—111no—
1204C4×D4—111no—
1205C4×D4—111no—
1206C4×D4—111no—
1207C4×D4—221no—
1208C4×D4—221no—
1209C4×D4—221no—
1210C4×D4—221no—
1211C4×D4—221no—
1212C4×D4—221no—
1213C4×D4—221no—
1214C4×D4—221no—
1215C4×D4—221no—
1216C4×D4—221no—
1217C4×D4—221no—
1218C4×D4—221no—
1219C4×D4—221no—
1220C4×D4—221no—
1221C4×D4—221no—
1222C4×D4C22×D1111yescharacteristic
1223C4×D4C22×D1111yescharacteristic
1224#117—21no—
1225#117—21no—
1226#117—111no—
1227#117—111no—
1228#117—111no—
1229#117—221no—
1230#117—221no—
1231#117—221no—
1232#117—221no—
1233#117—221no—
1234#117—221no—
1235#117—221no—
1236#117C22×D1111yescharacteristic
1237#117C22×D1111yescharacteristic
1238#117C22×D1111yescharacteristic
1239C2×C4⋊C4—111no—
1240C2×C4⋊C4—221no—
1241C2×C4⋊C4—221no—
1242C2×C4⋊C4—221no—
1243C2×C4⋊C4—221no—
1244C2×C4⋊C4—221no—
1245C2×C4⋊C4—221no—
1246C2×C4⋊C4C22×D1111yescharacteristic
1247C2×C22⋊C4—221no—
1248C2×C22⋊C4—221no—
1249C2×C22⋊C4—221no—
1250C2×C22⋊C4—221no—
1251C2×C22⋊C4—221no—
1252C2×C22⋊C4—221no—
1253C2×C42—111no—
1254C2×C42—221no—
1255C2×C42—221no—
1256#107—111no—
1257#107—111no—
1258#107C22×D1111yescharacteristic
1259#107C22×D1111yescharacteristic
1260#107C22×D1111yescharacteristic
1261#107C22×D1111yescharacteristic
1262#106—111no—
1263#106—111no—
1264#106—111no—
1265#106—111no—
1266#106—111no—
1267#106C22×D1111yescharacteristic
1268#106C22×D1111yescharacteristic
1269#106C22×D1111yescharacteristic
1270#106C22×D1111yescharacteristic
1271#106C22×D1111yescharacteristic
1272C4⋊C8—111no—
1273C4⋊C8—111no—
1274C4⋊C8—111no—
1275C4⋊C8—111no—
1276C4⋊C8—111no—
1277C4⋊C8C22×D1111yescharacteristic
1278#103—111no—
1279#103—111no—
1280#103—111no—
1281#103—111no—
1282#103—111no—
1283#103—111no—
1284#103—111no—
1285#103—111no—
1286#103—111no—
1287#103—111no—
1288#103—111no—
1289#103—111no—
1290#103—111no—
1291#103C22×D1111yescharacteristic
1292#103C22×D1111yescharacteristic
1293#103C22×D1111yescharacteristic
1294#102—111no—
1295#102—111no—
1296#102—111no—
1297#102—111no—
1298#102—111no—
1299#102—111no—
1300#102—111no—
1301#102—111no—
1302#102—111no—
1303#102—111no—
1304#102—111no—
1305#102—111no—
1306#102—111no—
1307#102C22×D1111yescharacteristic
1308#102C22×D1111yescharacteristic
1309#102C22×D1111yescharacteristic
1310C22⋊C8—111no—
1311C22⋊C8—111no—
1312C22⋊C8—111no—
1313C22⋊C8—111no—
1314C22⋊C8C22×D1111yescharacteristic
1315C22⋊C8C22×D1111yescharacteristic
1316#97—111no—
1317#97—111no—
1318#97—111no—
1319#97C22×D1111yescharacteristic
1320C4×C8—111no—
1321C4×C8—111no—
1322C4×C8—111no—
1323C4×C8—111no—
1324C4×C8—111no—
1325C4×C8—111no—
1326C2×C11—41no—
1327C2×C11—41no—
1328C2×C11—81no—
1329C2×C11D4×#4111yescharacteristic
1330C2×C11C2×#57711yescharacteristic
1331C2×C11#358411yescharacteristic
1332D11—41no—
1333D11—42no—
1334D11—42no—
1335D11—81no—
1336C24—221no—
1337C24—221no—
1338#41—222no—
1339#41—222no—
1340#41—222no—
1341#41—222no—
1342#41—441no—
1343#41—441no—
1344#41—441no—
1345#41—441no—
1346#41—882no—
1347C2×Q8—21no—
1348C2×Q8—111no—
1349C2×Q8—111no—
1350C2×Q8—111no—
1351C2×Q8—111no—
1352C2×Q8—221no—
1353C2×Q8—221no—
1354C2×Q8—221no—
1355C2×Q8—882no—
1356C2×Q8C23×D1111yescharacteristic
1357C2×D4—21no—
1358C2×D4—21no—
1359C2×D4—111no—
1360C2×D4—111no—
1361C2×D4—111no—
1362C2×D4—111no—
1363C2×D4—111no—
1364C2×D4—222no—
1365C2×D4—221no—
1366C2×D4—221no—
1367C2×D4—221no—
1368C2×D4—221no—
1369C2×D4—221no—
1370C2×D4—222no—
1371C2×D4—221no—
1372C2×D4—221no—
1373C2×D4—221no—
1374C2×D4—221no—
1375C2×D4—221no—
1376C2×D4—441no—
1377C2×D4—441no—
1378C2×D4—882no—
1379C2×D4D4×D1111yescharacteristic
1380C2×D4C23×D1111yescharacteristic
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—111no—
1384C22×C4—111no—
1385C22×C4—111no—
1386C22×C4—221no—
1387C22×C4—221no—
1388C22×C4—221no—
1389C22×C4—221no—
1390C22×C4—221no—
1391C22×C4—221no—
1392C22×C4—221no—
1393C22×C4—221no—
1394C22×C4—221no—
1395C22×C4—221no—
1396C22×C4—221no—
1397C22×C4—221no—
1398C22×C4—221no—
1399C22×C4—221no—
1400C22×C4—221no—
1401C22×C4—221no—
1402C22×C4C23×D1111yescharacteristic
1403C22×C4C23×D1111yescharacteristic
1404Q16—222no—
1405Q16—441no—
1406Q16—441no—
1407SD16—22no—
1408SD16—222no—
1409SD16—222no—
1410SD16—222no—
1411SD16—222no—
1412SD16—222no—
1413SD16—441no—
1414SD16—441no—
1415SD16—441no—
1416SD16—441no—
1417D8—114no—
1418D8—222no—
1419D8—222no—
1420M16—22no—
1421M16—222no—
1422C2×C8—22no—
1423C2×C8—111no—
1424C2×C8—111no—
1425C2×C8—111no—
1426C2×C8—111no—
1427C2×C8—441no—
1428C2×C8—441no—
1429C2×C8—441no—
1430C2×C8C23×D1111yescharacteristic
1431C2×C8C23×D1111yescharacteristic
1432C2×C8C23×D1111yescharacteristic
1433C2×C8C23×D1111yescharacteristic
1434C4⋊C4—21no—
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—111no—
1442C4⋊C4—111no—
1443C4⋊C4—111no—
1444C4⋊C4—111no—
1445C4⋊C4—111no—
1446C4⋊C4—111no—
1447C4⋊C4—111no—
1448C4⋊C4—111no—
1449C4⋊C4—111no—
1450C4⋊C4—111no—
1451C4⋊C4—111no—
1452C4⋊C4—221no—
1453C4⋊C4—221no—
1454C4⋊C4—221no—
1455C4⋊C4—221no—
1456C4⋊C4—221no—
1457C4⋊C4—221no—
1458C4⋊C4—221no—
1459C4⋊C4—221no—
1460C4⋊C4—221no—
1461C4⋊C4—221no—
1462C4⋊C4—221no—
1463C4⋊C4—221no—
1464C4⋊C4—221no—
1465C4⋊C4—221no—
1466C4⋊C4—221no—
1467C4⋊C4—221no—
1468C4⋊C4—221no—
1469C4⋊C4—221no—
1470C4⋊C4—221no—
1471C4⋊C4—221no—
1472C4⋊C4—221no—
1473C4⋊C4—221no—
1474C4⋊C4—221no—
1475C4⋊C4—221no—
1476C4⋊C4—221no—
1477C4⋊C4D4×D1111yescharacteristic
1478C4⋊C4C23×D1111yescharacteristic
1479C4⋊C4C23×D1111yescharacteristic
1480C4⋊C4C23×D1111yescharacteristic
1481C4⋊C4C23×D1111yescharacteristic
1482C4⋊C4C23×D1111yescharacteristic
1483C4⋊C4C23×D1111yescharacteristic
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—111no—
1493C22⋊C4—111no—
1494C22⋊C4—111no—
1495C22⋊C4—111no—
1496C22⋊C4—111no—
1497C22⋊C4—111no—
1498C22⋊C4—111no—
1499C22⋊C4—111no—
1500C22⋊C4—221no—
1501C22⋊C4—221no—
1502C22⋊C4—221no—
1503C22⋊C4—221no—
1504C22⋊C4—221no—
1505C22⋊C4—221no—
1506C22⋊C4—221no—
1507C22⋊C4—221no—
1508C22⋊C4—221no—
1509C22⋊C4—221no—
1510C22⋊C4—221no—
1511C22⋊C4—221no—
1512C22⋊C4—221no—
1513C22⋊C4—221no—
1514C22⋊C4—221no—
1515C22⋊C4—221no—
1516C22⋊C4—221no—
1517C22⋊C4—221no—
1518C22⋊C4—221no—
1519C22⋊C4—221no—
1520C22⋊C4—221no—
1521C22⋊C4—221no—
1522C22⋊C4—221no—
1523C22⋊C4—221no—
1524C22⋊C4D4×D1111yescharacteristic
1525C22⋊C4D4×D1111yescharacteristic
1526C42—21no—
1527C42—21no—
1528C42—21no—
1529C42—21no—
1530C42—111no—
1531C42—111no—
1532C42—111no—
1533C42—111no—
1534C42—111no—
1535C42—221no—
1536C42—221no—
1537C42—221no—
1538C42—221no—
1539C42—221no—
1540C42—221no—
1541C42—221no—
1542C42—221no—
1543C42C23×D1111yescharacteristic
1544C11#6149311yescharacteristic, complemented, Sylow
1545C23—21no—
1546C23—111no—
1547C23—221no—
1548C23—221no—
1549C23—221no—
1550C23—442no—
1551C23—442no—
1552C23—881no—
1553C23—881no—
1554C23—881no—
1555C23—881no—
1556C23C2×D4×D1111yescharacteristic
1557C23C2×D4×D1111yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—81no—
1561Q8—222no—
1562Q8—221no—
1563Q8—221no—
1564Q8—221no—
1565Q8—221no—
1566Q8—221no—
1567Q8—221no—
1568Q8—442no—
1569Q8—881no—
1570Q8—881no—
1571D4—21no—
1572D4—21no—
1573D4—41no—
1574D4—81no—
1575D4—81no—
1576D4—112no—
1577D4—112no—
1578D4—222no—
1579D4—221no—
1580D4—221no—
1581D4—221no—
1582D4—221no—
1583D4—442no—
1584D4—442no—
1585D4—442no—
1586D4—441no—
1587D4—442no—
1588D4—442no—
1589D4—442no—
1590D4—442no—
1591D4—881no—
1592D4—881no—
1593D4—881no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—81no—
1606C2×C4—81no—
1607C2×C4—111no—
1608C2×C4—111no—
1609C2×C4—111no—
1610C2×C4—111no—
1611C2×C4—111no—
1612C2×C4—111no—
1613C2×C4—111no—
1614C2×C4—222no—
1615C2×C4—221no—
1616C2×C4—221no—
1617C2×C4—221no—
1618C2×C4—221no—
1619C2×C4—221no—
1620C2×C4—221no—
1621C2×C4—221no—
1622C2×C4—442no—
1623C2×C4—442no—
1624C2×C4—442no—
1625C2×C4—442no—
1626C2×C4—442no—
1627C2×C4—442no—
1628C2×C4—441no—
1629C2×C4—881no—
1630C2×C4—881no—
1631C2×C4—881no—
1632C2×C4—881no—
1633C2×C4—881no—
1634C2×C4—881no—
1635C2×C4—881no—
1636C2×C4—881no—
1637C2×C4—881no—
1638C2×C4—881no—
1639C2×C4C2×D4×D1111yescharacteristic
1640C2×C4C2×D4×D1111yescharacteristic
1641C2×C4C2×D4×D1111yescharacteristic
1642C2×C4C2×D4×D1111yescharacteristic
1643C2×C4C24×D1111yescharacteristic
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—221no—
1648C8—221no—
1649C8—221no—
1650C8—221no—
1651C8#41×D1112yes—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—21no—
1657C22—21no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—221no—
1662C22—221no—
1663C22—222no—
1664C22—222no—
1665C22—221no—
1666C22—441no—
1667C22—441no—
1668C22—441no—
1669C22—441no—
1670C22—441no—
1671C22—441no—
1672C22—441no—
1673C22—1762no—
1674C22—1762no—
1675C22C22×D4×D1111yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—112no—
1688C4—221no—
1689C4—221no—
1690C4—221no—
1691C4—221no—
1692C4—221no—
1693C4—221no—
1694C4—441no—
1695C4—441no—
1696C4—441no—
1697C4—441no—
1698C4—441no—
1699C4C2×#41×D1111yescharacteristic
1700C4#1062345711yescharacteristic
1701C2—41no—
1702C2—41no—
1703C2—81no—
1704C2—441no—
1705C2—442no—
1706C2—442no—
1707C2—881no—
1708C2#1308210311yescharacteristic
1709C2D11×#57711yescharacteristic
1710C2#1308338911yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3348C2
socleC22×C11C23×D4
hypercenter#3348D11
hypocenterC11#61493
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3348

Complements

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

NH ≅ G/Ntype
1. #13082590C2semidirect
2. #13082573C2semidirect
3. #13081670C2semidirect
4. #13081512C2semidirect
5. #13081279C2semidirect
6. #13081257C2semidirect
7. #13081227C2semidirect
8. #13081127C2semidirect
9. #13080542C2semidirect
10. #13080538C2semidirect
11. #13080531C2semidirect
12. #13080454C2semidirect
13. #13080445C2semidirect
14. #13080438C2semidirect
15. #13080213C2semidirect
16. #13080146C2semidirect
17. #13080138C2semidirect
18. #13079289C2semidirect
19. #13079277C2semidirect
20. #13079170C2semidirect
21. #13078900C2semidirect
22. #13078896C2semidirect
23. #13078870C2semidirect
24. #13078864C2semidirect
25. #13078773C2semidirect
26. #13078762C2semidirect
27. #13077586C2semidirect
28. #13077447C2semidirect
29. #13077446C2semidirect
30. #13077387C2semidirect
31. C11×#3348C2semidirect
33. C11×#552C22semidirect
41. #10623228C22semidirect
43. #10623221C22semidirect
52. #10623162C22semidirect
53. #10623156C22semidirect
54. #10623153C22semidirect
61. #10623105C22semidirect
62. #10623098C22semidirect
64. #10623082C22semidirect
71. #10623060C22semidirect
76. #10623053C22semidirect
79. #10623035C22semidirect
80. C11×#501C22semidirect
81. C11×#485C22semidirect
82. C11×#485C22semidirect
83. C11×#482C22semidirect
85. C11×#478C22semidirect
86. C11×#475C22semidirect
88. C11×#465C22semidirect
89. C11×#440C22semidirect
90. C11×#435C22semidirect
91. C11×#428C22semidirect
92. C11×#427C22semidirect
94. #10622780C22semidirect
95. SD16×Dic11C22semidirect
96. #10622750C22semidirect
98. #10622735C22semidirect
99. #10622727C22semidirect
100. #10622724C22semidirect
101. C2×C8×Dic11C22semidirect
102. #10622706C22semidirect
103. #10622697C22semidirect
104. #10622681C22semidirect
106. #10622664C22semidirect
107. #10622661C22semidirect
111. #10622654C22semidirect
113. #10622650C22semidirect
114. #10622641C22semidirect
116. #10622632C22semidirect
117. C4×#4323C22semidirect
118. D4×C11⋊C8C22semidirect
119. #10622616C22semidirect
121. #10622615C22semidirect
122. #10622615C22semidirect
123. #10622609C22semidirect
124. #10622609C22semidirect
125. #10622584C22semidirect
128. #10622503C22semidirect
130. #10622502C22semidirect
131. #10622502C22semidirect
132. #10622501C22semidirect
133. #10622500C22semidirect
135. #10622494C22semidirect
136. #10622489C22semidirect
137. #10622488C22semidirect
138. #10622486C22semidirect
139. #10622486C22semidirect
142. #10622485C22semidirect
143. #10622484C22semidirect
145. #10622483C22semidirect
147. #10622482C22semidirect
148. #10622481C22semidirect
149. #10622480C22semidirect
152. #10622475C22semidirect
153. #10622468C22semidirect
154. #10622467C22semidirect
155. #10622467C22semidirect
156. #10622466C22semidirect
160. #10622465C22semidirect
161. #10622465C22semidirect
162. #10622465C22semidirect
163. #10622457C22semidirect
165. #10622453C22semidirect
166. #10622443C22semidirect
169. #10622431C22semidirect
172. #10622423C22semidirect
173. #10622417C22semidirect
174. #10622406C22semidirect
175. #10622405C22semidirect
176. #10622405C22semidirect
177. #10622402C22semidirect
178. #10622401C22semidirect
179. #10622400C22semidirect
181. #10622398C22semidirect
185. #10622381C22semidirect
186. #10622380C22semidirect
189. #10622371C22semidirect
190. #10622370C22semidirect
191. #10622347C22semidirect
193. #10622346C22semidirect
196. (C22⋊D11)⋊C8C22semidirect
197. #10622333C22semidirect
198. #10622332C22semidirect
199. #10622328C22semidirect
201. #10622321C22semidirect
202. #10622314C22semidirect
682. D88#41semidirect
698. #3348D11semidirect
843. #552C2×D11semidirect
877. #501C2×D11semidirect
892. #485C2×D11semidirect
893. #485C2×D11semidirect
897. #482C2×D11semidirect
903. #478C2×D11semidirect
910. #475C2×D11semidirect
923. #465C2×D11semidirect
961. #440C2×D11semidirect
980. #435C2×D11semidirect
988. #428C2×D11semidirect
989. #427C2×D11semidirect
1544. C11#61493semidirect

Maximal subgroups

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

subgroupindex
#130825902
#130825732
#130816702
#130815122
#130812792
#130812572
#130812272
#130811272
#130805422
#130805382
#130805312
#130804542
#130804452
#130804382
#130802132
#130801462
#130801382
#130792892
#130792772
#130791702
#130789002
#130788962
#130788702
#130788642
#130787732
#130787622
#130775862
#130774472
#130774462
#130773872
C11×#33482
#6149311