Finite Group Databasebeta

← #15638377

Subgroups — #15638377

Order 2816.

1940 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082644C211yesmaximal, characteristic, complemented
2#13082615C211yesmaximal, characteristic, complemented
3#13081590C211yesmaximal, characteristic, complemented
4#13081488C211yesmaximal, characteristic, complemented
5#13081348C211yesmaximal, characteristic, complemented
6#13081326C211yesmaximal, characteristic, complemented
7#13081218C211yesmaximal, characteristic, complemented
8#13081207C211yesmaximal, characteristic, complemented
9#13080760C211yesmaximal, characteristic, complemented
10#13080751C211yesmaximal, characteristic, complemented
11#13080625C211yesmaximal, characteristic, complemented
12#13080616C211yesmaximal, characteristic, complemented
13#13080564C211yesmaximal, characteristic, complemented
14#13080427C211yesmaximal, characteristic, complemented
15#13080238C211yesmaximal, characteristic, complemented
16#13080233C211yesmaximal, characteristic, complemented
17#13080233C211yesmaximal, characteristic, complemented
18#13079349C211yesmaximal, characteristic, complemented
19#13079267C211yesmaximal, characteristic, complemented
20#13079261C211yesmaximal, characteristic, complemented
21#13078861C211yesmaximal, characteristic, complemented
22#13078855C211yesmaximal, characteristic, complemented
23#13078820C211yesmaximal, characteristic, complemented
24#13078818C211yesmaximal, characteristic, complemented
25#13078671C211yesmaximal, characteristic, complemented
26#13078613C211yesmaximal, characteristic, complemented
27#13077615C211yesmaximal, characteristic, complemented
28#13077446C211yesmaximal, characteristic, complemented
29#13077441C211yesmaximal, characteristic, complemented
30#13077423C211yesmaximal, characteristic, complemented
31C11×#3355C211yesmaximal, characteristic, complemented
32C11×#553C2211yescharacteristic
33C11×#553C2211yescharacteristic, complemented
34C2×#66964C2211yescharacteristic
35C2×#66961C2211yescharacteristic
36C2×#66961C2211yescharacteristic
37#10623240—21no—
38#10623240—21no—
39#10623237—21no—
40#10623235—21no—
41#10623229C2211yescharacteristic
42#10623229C2211yescharacteristic, complemented
43#10623221C2211yescharacteristic
44#10623216C2211yescharacteristic, complemented
45#10623194—21no—
46#10623188—21no—
47#10623186—21no—
48#10623185—21no—
49#10623150C2211yescharacteristic
50#10623150C2211yescharacteristic, complemented
51#10623146—21no—
52#10623141—21no—
53#10623140C2211yescharacteristic
54#10623140C2211yescharacteristic
55D11×#121—21no—
56#10623130—21no—
57#10623130C2211yescharacteristic, complemented
58#10623130C2211yescharacteristic, complemented
59#10623127C2211yescharacteristic
60#10623127C2211yescharacteristic, complemented
61#10623085—21no—
62#10623084C2211yescharacteristic
63#10623084C2211yescharacteristic, complemented
64#10623084C2211yescharacteristic, complemented
65D4×D44C2211yescharacteristic
66#10623079—21no—
67#10623078—21no—
68#10623077C2211yescharacteristic, complemented
69#10623076C2211yescharacteristic
70#10623071—21no—
71#10623069C2211yescharacteristic
72#10623063C2211yescharacteristic
73#10623061C2211yescharacteristic, complemented
74#10623053C2211yescharacteristic, complemented
75#10623052C2211yescharacteristic
76#10623045C2211yescharacteristic
77#10623038C2211yescharacteristic, complemented
78#10623035C2211yescharacteristic, complemented
79C2×#66946C2211yescharacteristic
80C11×#499C2211yescharacteristic, complemented
81C11×#482C2211yescharacteristic, complemented
82C11×#482C2211yescharacteristic, complemented
83C11×#480C2211yescharacteristic, complemented
84C11×#480C2211yescharacteristic, complemented
85C11×#478C2211yescharacteristic, complemented
86C11×#478C2211yescharacteristic, complemented
87C11×#469C2211yescharacteristic, complemented
88C11×#469C2211yescharacteristic, complemented
89C4×C11×D8C2211yescharacteristic, complemented
90C11×#436C2211yescharacteristic, complemented
91C11×#428C2211yescharacteristic, complemented
92C11×#428C2211yescharacteristic, complemented
93#10622765C2211yescharacteristic, complemented
94#10622764C2211yescharacteristic, complemented
95#10622764C2211yescharacteristic, complemented
96#10622748C2211yescharacteristic, complemented
97#10622748C2211yescharacteristic, complemented
98#10622741C2211yescharacteristic, complemented
99#10622741C2211yescharacteristic, complemented
100#10622735C2211yescharacteristic, complemented
101M16×Dic11C2211yescharacteristic, complemented
102#10622680C2211yescharacteristic, complemented
103#10622680C2211yescharacteristic, complemented
104#10622679C2211yescharacteristic
105#10622676C2211yescharacteristic, complemented
106#10622652C2211yescharacteristic, complemented
107#10622652C2211yescharacteristic, complemented
108#10622651C2211yescharacteristic, complemented
109#10622651C2211yescharacteristic, complemented
110#10622650C2211yescharacteristic, complemented
111#10622650C2211yescharacteristic, complemented
112#10622649C2211yescharacteristic
113#10622649C2211yescharacteristic
114#10622631C2211yescharacteristic, complemented
115#10622628C2211yescharacteristic, complemented
116#10622628C2211yescharacteristic, complemented
117#10622627C2211yescharacteristic
118#10622624C2211yescharacteristic, complemented
119#10622616C2211yescharacteristic, complemented
120#10622616C2211yescharacteristic, complemented
121#10622615C2211yescharacteristic, complemented
122#10622614C2211yescharacteristic
123#10622581C2211yescharacteristic, complemented
124#10622580C2211yescharacteristic, complemented
125#10622579C2211yescharacteristic, complemented
126C2×#66873C2211yescharacteristic
127#10622504C2211yescharacteristic
128#10622504C2211yescharacteristic, complemented
129#10622503C2211yescharacteristic
130#10622503C2211yescharacteristic, complemented
131#10622502C2211yescharacteristic
132#10622502C2211yescharacteristic, complemented
133#10622502C2211yescharacteristic, complemented
134#10622498C2211yescharacteristic, complemented
135#10622496C2211yescharacteristic, complemented
136#10622496C2211yescharacteristic, complemented
137#10622495C2211yescharacteristic, complemented
138#10622494C2211yescharacteristic, complemented
139#10622490C2211yescharacteristic, complemented
140#10622488C2211yescharacteristic, complemented
141#10622485C2211yescharacteristic
142#10622485C2211yescharacteristic
143#10622485C2211yescharacteristic, complemented
144#10622485C2211yescharacteristic, complemented
145#10622485C2211yescharacteristic, complemented
146#10622485C2211yescharacteristic, complemented
147#10622484C2211yescharacteristic, complemented
148#10622483C2211yescharacteristic, complemented
149#10622482C2211yescharacteristic
150#10622482C2211yescharacteristic
151#10622482C2211yescharacteristic, complemented
152#10622482C2211yescharacteristic, complemented
153#10622479C2211yescharacteristic, complemented
154#10622478C2211yescharacteristic, complemented
155#10622478C2211yescharacteristic, complemented
156#10622476C2211yescharacteristic, complemented
157#10622471C2211yescharacteristic, complemented
158#10622468C2211yescharacteristic, complemented
159#10622465C2211yescharacteristic
160#10622465C2211yescharacteristic
161#10622465C2211yescharacteristic, complemented
162#10622465C2211yescharacteristic, complemented
163#10622461C2211yescharacteristic, complemented
164#10622456C2211yescharacteristic
165#10622453C2211yescharacteristic, complemented
166#10622441C2211yescharacteristic, complemented
167#10622399C2211yescharacteristic
168#10622399C2211yescharacteristic
169#10622399C2211yescharacteristic, complemented
170#10622399C2211yescharacteristic, complemented
171#10622399C2211yescharacteristic, complemented
172#10622399C2211yescharacteristic, complemented
173#10622398C2211yescharacteristic, complemented
174#10622398C2211yescharacteristic, complemented
175#10622394C2211yescharacteristic, complemented
176#10622394C2211yescharacteristic, complemented
177#10622386C2211yescharacteristic
178#10622386C2211yescharacteristic
179#10622385C2211yescharacteristic, complemented
180D11×#102C2211yescharacteristic
181#10622377C2211yescharacteristic, complemented
182#10622377C2211yescharacteristic, complemented
183#10622375C2211yescharacteristic, complemented
184#10622375C2211yescharacteristic, complemented
185#10622373C2211yescharacteristic, complemented
186#10622373C2211yescharacteristic, complemented
187#10622371C2211yescharacteristic, complemented
188#10622369C2211yescharacteristic
189#10622369C2211yescharacteristic, complemented
190#10622369C2211yescharacteristic, complemented
191#10622347C2211yescharacteristic, complemented
192#10622347C2211yescharacteristic, complemented
193#10622345C2211yescharacteristic
194#10622345C2211yescharacteristic
195#10622341C2211yescharacteristic, complemented
196(C22⋊D11)⋊C8C2211yescharacteristic, complemented
197#10622333C2211yescharacteristic, complemented
198#10622331C2211yescharacteristic, complemented
199#10622308C2211yescharacteristic, complemented
200C4×#4314C2211yescharacteristic
201#10622302C2211yescharacteristic, complemented
202C8×Dic22C2211yescharacteristic, complemented
203C2×#4341—21no—
204C2×#4341—21no—
205C2×#4341C2311yescharacteristic
206C2×D4×D11—21no—
207C2×D4×D11—21no—
208C2×D4×D11—21no—
209C2×D4×D11C2311yescharacteristic
210C2×#4339—21no—
211C2×#4339—21no—
212C2×#4339—21no—
213C2×#4339C2311yescharacteristic
214C2×#4339C2311yescharacteristic
215C22×D44C2311yescharacteristic
216C22×D44C2311yescharacteristic
217C22×C4×D11—21no—
218C2×C11×D8C2311yescharacteristic
219C2×C11×M16C2311yescharacteristic
220C2×C11×M16C2311yescharacteristic
221C11×#126—21no—
222C11×#126—21no—
223C11×#125C2311yescharacteristic
224C11×#125C2311yescharacteristic
225C11×#123—21no—
226C11×#123—21no—
227C11×#121—21no—
228C11×#121—21no—
229C11×#121C2311yescharacteristic
230C11×#121C2311yescharacteristic
231C11×#121C2311yescharacteristic
232C11×#121C2311yescharacteristic
233C4×D4×C11—21no—
234C4×D4×C11—21no—
235C4×D4×C11C2311yescharacteristic
236C4×D4×C11C2311yescharacteristic
237C4×D4×C11C2311yescharacteristic
238C11×#117C2311yescharacteristic
239C11×#117C2311yescharacteristic
240C2×C11×C4⋊C4C2311yescharacteristic
241C2×C11×C4⋊C4C2311yescharacteristic
242#66993—21no—
243#66993—21no—
244#66993—21no—
245#66993C2311yescharacteristic
246#66993C2311yescharacteristic
247#66993C2311yescharacteristic
248#66993C2311yescharacteristic
249#66992—21no—
250#66992—21no—
251#66992—21no—
252#66992—21no—
253#66992—21no—
254#66992—21no—
255#66992D411yescharacteristic
256#66991—21no—
257#66991—21no—
258#66990—21no—
259#66990—21no—
260#66988D411yescharacteristic
261D4×Dic11C2311yescharacteristic
262D4×Dic11C2311yescharacteristic
263C2×#4324C2311yescharacteristic
264C2×#4323C2311yescharacteristic
265C2×#4323C2311yescharacteristic
266C2×#4323C2311yescharacteristic
267C2×#4323C2311yescharacteristic
268C2×#4323C2311yescharacteristic
269#66983—21no—
270#66983—21no—
271#66983—21no—
272#66983C2311yescharacteristic
273#66983C2311yescharacteristic
274#66983C2311yescharacteristic
275#66983C2311yescharacteristic
276#66982—21no—
277C4×C22⋊D11—21no—
278C4×C22⋊D11—21no—
279C4×C22⋊D11—21no—
280C4×C22⋊D11—21no—
281C4×C22⋊D11—21no—
282C4×C22⋊D11C2311yescharacteristic
283C4×C22⋊D11C2311yescharacteristic
284C2×(C2×D11)⋊C4—21no—
285C2×(C2×D11)⋊C4—21no—
286#66979C2311yescharacteristic
287C2×Dic11⋊C4—21no—
288C2×C4×Dic11C2311yescharacteristic
289C2×#4318C2311yescharacteristic
290C22×C11⋊C8C2311yescharacteristic
291#66964—24no—
292#66961—24no—
293#66961—24no—
294C2×D88C2311yescharacteristic
295C2×D88C2311yescharacteristic
296C2×D88C2311yescharacteristic
297C2×D88C2311yescharacteristic
298C2×D88C2311yescharacteristic
299C2×D88C2311yescharacteristic
300C2×#4314C2311yescharacteristic
301C2×#4314C2311yescharacteristic
302C2×#4314C2311yescharacteristic
303C2×#4313C2311yescharacteristic
304C2×C8×D11C2311yescharacteristic
305#66951—21no—
306#66951D411yescharacteristic
307#66950—21no—
308#66949—21no—
309#66949—21no—
310#66949—21no—
311#66948—21no—
312#66948—21no—
313#66948—21no—
314#66948—21no—
315#66948—21no—
316#66948C2311yescharacteristic
317#66948C2311yescharacteristic
318#66948C2311yescharacteristic
319#66948C2311yescharacteristic
320#66947—21no—
321#66947—21no—
322#66947—21no—
323#66947—21no—
324#66947—21no—
325#66947—21no—
326#66946—21no—
327#66946—21no—
328#66946—21no—
329#66946C2311yescharacteristic
330#66946C2311yescharacteristic
331#66946C2311yescharacteristic
332#66946C2311yescharacteristic
333#66946C2311yescharacteristic
334#66946C2311yescharacteristic
335#66946C2311yescharacteristic
336#66946C2311yescharacteristic
337#66946C2311yescharacteristic
338#66946C2311yescharacteristic
339#66946C2311yescharacteristic
340#66945—21no—
341#66945C2311yescharacteristic
342C4⋊C4×D11—21no—
343C4⋊C4×D11—21no—
344C4⋊C4×D11C2311yescharacteristic
345#66943C2311yescharacteristic
346#66943C2311yescharacteristic
347#66942—21no—
348#66942—21no—
349#66942D411yescharacteristic
350#66941—21no—
351#66941C2311yescharacteristic
352#66941C2311yescharacteristic
353#66940—21no—
354#66940C2311yescharacteristic
355#66940C2311yescharacteristic
356#66940C2311yescharacteristic
357#66939—21no—
358#66939—21no—
359#66939D411yescharacteristic
360#66938—21no—
361#66938—21no—
362#66938—21no—
363#66938D411yescharacteristic
364#66937—21no—
365#66937—21no—
366#66937—21no—
367#66937—21no—
368#66937—21no—
369#66937—21no—
370#66937—21no—
371#66937—21no—
372#66937—21no—
373#66937—21no—
374#66937—21no—
375#66937—21no—
376#66936—21no—
377#66936—21no—
378#66936—21no—
379#66935—21no—
380#66935—21no—
381#66935—21no—
382#66935—21no—
383(C22⋊D11)⋊C4—21no—
384(C22⋊D11)⋊C4—21no—
385(C22⋊D11)⋊C4—21no—
386(C22⋊D11)⋊C4—21no—
387(C22⋊D11)⋊C4—21no—
388(C22⋊D11)⋊C4—21no—
389(C22⋊D11)⋊C4—21no—
390(C22⋊D11)⋊C4—21no—
391C22⋊C4×D11—21no—
392C22⋊C4×D11—21no—
393C22⋊C4×D11—21no—
394#66932D411yescharacteristic
395#66931D411yescharacteristic
396#66930—21no—
397#66929—21no—
398#66928—21no—
399#66927C2311yescharacteristic
400#66927C2311yescharacteristic
401C4×D44—21no—
402C4×D44—21no—
403C4×D44—21no—
404C4×D44C2311yescharacteristic
405#66925—21no—
406#66925—21no—
407#66925C2311yescharacteristic
408C42×D11—21no—
409C4×Dic22C2311yescharacteristic
410C4×Dic22C2311yescharacteristic
411C11×#107C2311yescharacteristic
412C11×#107C2311yescharacteristic
413C11×#107C2311yescharacteristic
414C11×#107C2311yescharacteristic
415C11×#107C2311yescharacteristic
416C11×#106C2311yescharacteristic
417C11×#106C2311yescharacteristic
418C11×#106C2311yescharacteristic
419C11×#106C2311yescharacteristic
420C11×C4⋊C8C2311yescharacteristic
421C11×#102C2311yescharacteristic
422C11×#102C2311yescharacteristic
423C11×#102C2311yescharacteristic
424C11×#102C2311yescharacteristic
425C11×#102C2311yescharacteristic
426C11×#102C2311yescharacteristic
427C11×C22⋊C8C2311yescharacteristic
428C11×C22⋊C8C2311yescharacteristic
429C4×C8×C11C2311yescharacteristic
430#66896C2311yescharacteristic
431#66896C2311yescharacteristic
432C22⋊(C11⋊C8)C2311yescharacteristic
433C22⋊(C11⋊C8)C2311yescharacteristic
434#66885C2311yescharacteristic
435#66885C2311yescharacteristic
436#66885C2311yescharacteristic
437#66885C2311yescharacteristic
438#66885C2311yescharacteristic
439(C2×D11)⋊C8C2311yescharacteristic
440(C2×D11)⋊C8C2311yescharacteristic
441#66881C2311yescharacteristic
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#66873C2311yescharacteristic
459#66873C2311yescharacteristic
460#66873C2311yescharacteristic
461#66873C2311yescharacteristic
462#66873C2311yescharacteristic
463#66873C2311yescharacteristic
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#66871C2311yescharacteristic
477#66871C2311yescharacteristic
478#66871C2311yescharacteristic
479C4⋊(C11⋊C8)C2311yescharacteristic
480#66867C2311yescharacteristic
481#61555—111nomaximal, Sylow
482C23×D11—21no—
483C23×D11—21no—
484C23×D11—21no—
485C2×D4×C11—21no—
486C2×D4×C11—21no—
487C2×D4×C11—21no—
488C2×D4×C11—21no—
489C2×D4×C11C2×D411yescharacteristic
490C2×D4×C11C2411yescharacteristic
491C2×D4×C11C2411yescharacteristic
492C22×C4×C11—21no—
493C22×C4×C11—21no—
494C22×C4×C11—21no—
495C22×C4×C11—21no—
496C22×C4×C11C2411yescharacteristic
497C22×C4×C11C2411yescharacteristic
498C2×C22⋊D11—21no—
499C2×C22⋊D11—21no—
500C2×C22⋊D11—21no—
501C2×C22⋊D11—21no—
502C2×C22⋊D11—21no—
503C2×C22⋊D11—21no—
504C2×C22⋊D11—21no—
505C2×C22⋊D11—21no—
506C2×C22⋊D11—21no—
507C2×C22⋊D11—21no—
508C2×C22⋊D11—21no—
509C2×C22⋊D11—21no—
510C2×C22⋊D11—21no—
511C2×C22⋊D11—21no—
512C2×C22⋊D11—21no—
513C2×C22⋊D11—21no—
514C2×C22⋊D11C2×D411yescharacteristic
515C2×C22⋊D11C2×D411yescharacteristic
516C22×Dic11—21no—
517C22×Dic11—21no—
518C22×Dic11—21no—
519C22×Dic11C2×D411yescharacteristic
520C22×Dic11C2×D411yescharacteristic
521#4341—22no—
522#4341—41no—
523#4341—82no—
524#4341—82no—
525D4×D11—22no—
526D4×D11—41no—
527D4×D11—82no—
528D4×D11—82no—
529D4×D11—82no—
530#4339—22no—
531#4339—22no—
532#4339—41no—
533#4339—41no—
534#4339—82no—
535#4339—82no—
536#4339—82no—
537C2×D44—21no—
538C2×D44—21no—
539C2×D44—21no—
540C2×D44—21no—
541C2×D44—22no—
542C2×D44—22no—
543C2×D44—21no—
544C2×D44—21no—
545C2×D44—21no—
546C2×D44—21no—
547C2×D44—21no—
548C2×D44—21no—
549C2×D44—41no—
550C2×D44—41no—
551C2×D44C2411yescharacteristic
552C2×D44C2411yescharacteristic
553C2×D44C2411yescharacteristic
554C2×D44C2411yescharacteristic
555C2×D44C2411yescharacteristic
556C2×C4×D11—21no—
557C2×C4×D11—21no—
558C2×C4×D11—21no—
559C2×C4×D11—21no—
560C2×C4×D11—21no—
561C2×C4×D11—21no—
562C2×C4×D11—21no—
563C2×C4×D11—21no—
564C2×C4×D11—21no—
565C2×C4×D11—21no—
566C2×C4×D11—21no—
567C2×C4×D11—21no—
568C2×C4×D11—21no—
569C2×C4×D11—21no—
570C2×C4×D11—21no—
571C2×C4×D11—82no—
572C2×C4×D11C2411yescharacteristic
573C2×Dic22—21no—
574C2×Dic22—21no—
575C2×Dic22C2×D411yescharacteristic
576C2×Dic22C2411yescharacteristic
577C11×D8—22no—
578C11×M16—22no—
579C11×M16—22no—
580C2×C8×C11C2411yescharacteristic
581C2×C8×C11C2411yescharacteristic
582C2×C8×C11C2411yescharacteristic
583C2×C8×C11C2411yescharacteristic
584C11×C4⋊C4—21no—
585C11×C4⋊C4—21no—
586C11×C4⋊C4—21no—
587C11×C4⋊C4—21no—
588C11×C4⋊C4—21no—
589C11×C4⋊C4—21no—
590C11×C4⋊C4C2×D411yescharacteristic
591C11×C4⋊C4C2411yescharacteristic
592C11×C4⋊C4C2411yescharacteristic
593C11×C4⋊C4C2411yescharacteristic
594C11×C4⋊C4C2411yescharacteristic
595C11×C4⋊C4C2411yescharacteristic
596C11×C4⋊C4C2411yescharacteristic
597C11×C22⋊C4—21no—
598C11×C22⋊C4—21no—
599C11×C22⋊C4—21no—
600C11×C22⋊C4—21no—
601C11×C22⋊C4—21no—
602C11×C22⋊C4—21no—
603C11×C22⋊C4—21no—
604C11×C22⋊C4—21no—
605C11×C22⋊C4C2×D411yescharacteristic
606C11×C22⋊C4C2×D411yescharacteristic
607C42×C11—21no—
608C42×C11—21no—
609C42×C11C2411yescharacteristic
610C22⋊Dic11—21no—
611C22⋊Dic11—21no—
612C22⋊Dic11C2×D411yescharacteristic
613C22⋊Dic11C2×D411yescharacteristic
614C22⋊Dic11C2×D411yescharacteristic
615C22⋊Dic11C2×D411yescharacteristic
616#4324—22no—
617#4323—22no—
618#4323—41no—
619#4323—41no—
620#4323—41no—
621#4323—41no—
622(C2×D11)⋊C4—21no—
623(C2×D11)⋊C4—21no—
624(C2×D11)⋊C4—21no—
625(C2×D11)⋊C4—21no—
626(C2×D11)⋊C4—21no—
627(C2×D11)⋊C4—21no—
628(C2×D11)⋊C4—21no—
629(C2×D11)⋊C4—21no—
630(C2×D11)⋊C4—21no—
631(C2×D11)⋊C4—21no—
632(C2×D11)⋊C4—21no—
633(C2×D11)⋊C4—21no—
634(C2×D11)⋊C4—21no—
635(C2×D11)⋊C4—21no—
636(C2×D11)⋊C4—21no—
637(C2×D11)⋊C4—21no—
638(C2×D11)⋊C4—21no—
639(C2×D11)⋊C4—21no—
640(C2×D11)⋊C4—21no—
641(C2×D11)⋊C4—21no—
642(C2×D11)⋊C4—21no—
643(C2×D11)⋊C4C2×D411yescharacteristic
644(C2×D11)⋊C4C2×D411yescharacteristic
645(C2×D11)⋊C4C2×D411yescharacteristic
646(C2×D11)⋊C4C2×D411yescharacteristic
647C4⋊Dic11—21no—
648C4⋊Dic11—21no—
649C4⋊Dic11C2×D411yescharacteristic
650C4⋊Dic11C2×D411yescharacteristic
651C4⋊Dic11C2×D411yescharacteristic
652C4⋊Dic11C2411yescharacteristic
653C4⋊Dic11C2411yescharacteristic
654Dic11⋊C4—21no—
655Dic11⋊C4—21no—
656Dic11⋊C4—21no—
657Dic11⋊C4—21no—
658Dic11⋊C4—21no—
659Dic11⋊C4—21no—
660Dic11⋊C4—21no—
661Dic11⋊C4—21no—
662Dic11⋊C4—21no—
663Dic11⋊C4C2×D411yescharacteristic
664Dic11⋊C4C2×D411yescharacteristic
665Dic11⋊C4C2×D411yescharacteristic
666Dic11⋊C4C2×D411yescharacteristic
667Dic11⋊C4C2×D411yescharacteristic
668Dic11⋊C4C2×D411yescharacteristic
669C4×Dic11—21no—
670C4×Dic11—21no—
671C4×Dic11—21no—
672C4×Dic11—21no—
673C4×Dic11—21no—
674C4×Dic11C2×D411yescharacteristic
675C4×Dic11C2×D411yescharacteristic
676C4×Dic11C2411yescharacteristic
677C4×Dic11C2411yescharacteristic
678C4×Dic11C2411yescharacteristic
679#4318—41no—
680C2×C11⋊C8—41no—
681C2×C11⋊C8C2411yescharacteristic
682C2×C11⋊C8C2411yescharacteristic
683C2×C11⋊C8C2411yescharacteristic
684C2×C11⋊C8C2411yescharacteristic
685D88—22no—
686D88—22no—
687D88—22no—
688D88—22no—
689D88—41no—
690D88—41no—
691#4314—22no—
692#4314—22no—
693#4314#4114yescomplemented
694#4313—22no—
695C8×D11—41no—
696#3519—111no—
697#3517—111no—
698#3391—111no—
699#3381—111no—
700#3368—111no—
701#3366—111no—
702#3355—111no—
703#3355D1111yescharacteristic, complemented
704#3354—111no—
705#3318—111no—
706#3318—111no—
707#3309—111no—
708#3309—111no—
709#3305—111no—
710#3294—111no—
711#3274—111no—
712#3274—111no—
713#3274—111no—
714#3184—111no—
715#3176—111no—
716#3176—111no—
717#3122—111no—
718#3122—111no—
719#3119—111no—
720#3119—111no—
721#3106—111no—
722#3100—111no—
723#2969—111no—
724#2946—111no—
725#2946—111no—
726C4×AGL(1,ℤ/8)—111no—
727C23×C11—21no—
728C23×C11—21no—
729C23×C11C22×D411yescharacteristic
730C23×C11C22×D411yescharacteristic
731C22×D11—21no—
732C22×D11—21no—
733C22×D11—21no—
734C22×D11—21no—
735C22×D11—21no—
736C22×D11—42no—
737C22×D11—42no—
738C22×D11—42no—
739C22×D11—42no—
740C22×D11—81no—
741C22×D11—81no—
742C22×D11—81no—
743C22×D11—81no—
744C22×D11—81no—
745C22×D11C22×D411yescharacteristic
746D4×C11—21no—
747D4×C11—21no—
748D4×C11—21no—
749D4×C11—21no—
750D4×C11—41no—
751D4×C11—42no—
752D4×C11—81no—
753D4×C11—81no—
754D4×C11—81no—
755C2×C4×C11—21no—
756C2×C4×C11—21no—
757C2×C4×C11—21no—
758C2×C4×C11—21no—
759C2×C4×C11—21no—
760C2×C4×C11—21no—
761C2×C4×C11—21no—
762C2×C4×C11—21no—
763C2×C4×C11—21no—
764C2×C4×C11—21no—
765C2×C4×C11—81no—
766C2×C4×C11—81no—
767C2×C4×C11—81no—
768C2×C4×C11—81no—
769C2×C4×C11C22×D411yescharacteristic
770C2×C4×C11C22×D411yescharacteristic
771C2×C4×C11C22×D411yescharacteristic
772C2×C4×C11C22×D411yescharacteristic
773C2×C4×C11C2511yescharacteristic
774C22⋊D11—22no—
775C22⋊D11—41no—
776C22⋊D11—42no—
777C22⋊D11—42no—
778C22⋊D11—42no—
779C22⋊D11—42no—
780C22⋊D11—42no—
781C22⋊D11—42no—
782C22⋊D11—42no—
783C22⋊D11—81no—
784C22⋊D11—81no—
785C22⋊D11—81no—
786C22⋊D11—81no—
787C22⋊D11—81no—
788C22⋊D11—81no—
789C22⋊D11—81no—
790C22⋊D11—81no—
791C22⋊D11—81no—
792C2×Dic11—21no—
793C2×Dic11—22no—
794C2×Dic11—21no—
795C2×Dic11—21no—
796C2×Dic11—41no—
797C2×Dic11—42no—
798C2×Dic11—81no—
799C2×Dic11—81no—
800C2×Dic11C22×D411yescharacteristic
801C2×Dic11C22×D411yescharacteristic
802C2×Dic11C22×D411yescharacteristic
803C2×Dic11C22×D411yescharacteristic
804C2×Dic11C22×D411yescharacteristic
805C2×Dic11C22×D411yescharacteristic
806C2×Dic11C22×D411yescharacteristic
807D44—21no—
808D44—21no—
809D44—21no—
810D44—21no—
811D44—21no—
812D44—21no—
813D44—21no—
814D44—21no—
815D44—21no—
816D44—42no—
817D44—42no—
818D44—81no—
819D44—81no—
820D44—81no—
821D44—81no—
822D44—81no—
823D44—81no—
824D44—81no—
825D44—81no—
826D44C2×#4112yes—
827C4×D11—21no—
828C4×D11—21no—
829C4×D11—42no—
830C4×D11—42no—
831C4×D11—42no—
832C4×D11—42no—
833C4×D11—42no—
834C4×D11—81no—
835C4×D11—81no—
836C4×D11—81no—
837C4×D11—81no—
838C4×D11—81no—
839C4×D11—81no—
840C4×D11—81no—
841C4×D11—81no—
842C4×D11—81no—
843C4×D11—81no—
844Dic22—21no—
845Dic22—22no—
846Dic22—42no—
847Dic22—81no—
848Dic22C2×#4112yes—
849C8×C11—21no—
850C8×C11—21no—
851C8×C11—21no—
852C8×C11C2×#4112yes—
853C11⋊C8—21no—
854C11⋊C8—21no—
855C11⋊C8—21no—
856C11⋊C8—21no—
857C2×AGL(1,ℤ/8)—111no—
858C2×AGL(1,ℤ/8)—111no—
859C2×AGL(1,ℤ/8)—111no—
860#557—111no—
861#555—111no—
862#554—111no—
863#553—111no—
864#553—111no—
865#553—221no—
866#553—221no—
867#553—221no—
868#553C2×D1111yescharacteristic
869#553C2×D1111yescharacteristic, complemented
870#550—111no—
871#550—111no—
872#550—111no—
873#550—111no—
874#550—111no—
875#550—221no—
876#547—111no—
877#547—221no—
878#546—221no—
879#546—221no—
880#546—221no—
881D42—111no—
882D42—111no—
883D42—111no—
884#540—111no—
885#540—111no—
886#540—111no—
887#540—111no—
888#540—221no—
889#540—221no—
890#538—221no—
891#538—221no—
892#532—111no—
893#532—111no—
894#532—221no—
895#529—111no—
896#529—221no—
897#525—221no—
898C2×#121—221no—
899#520—111no—
900#520—111no—
901#518—111no—
902#518—111no—
903C4×#41—111no—
904C2×C4×D4—111no—
905#499—111no—
906#499C2×D1111yescharacteristic, complemented
907#498—111no—
908#493—111no—
909#493—111no—
910#493—111no—
911#490—111no—
912#490—111no—
913#490—111no—
914#490—111no—
915#486—111no—
916#486—111no—
917#482—111no—
918#482—111no—
919#482—111no—
920#482—111no—
921#482C2×D1111yescharacteristic, complemented
922#482C2×D1111yescharacteristic, complemented
923#481—111no—
924#481—111no—
925#480—111no—
926#480—111no—
927#480C2×D1111yescharacteristic, complemented
928#480C2×D1111yescharacteristic, complemented
929#479—111no—
930#479—111no—
931#478—111no—
932#478—111no—
933#478—111no—
934#478—111no—
935#478C2×D1111yescharacteristic, complemented
936#478C2×D1111yescharacteristic, complemented
937#477—111no—
938#476—111no—
939#474—111no—
940#474—111no—
941#469—111no—
942#469—111no—
943#469—111no—
944#469—111no—
945#469—111no—
946#469—111no—
947#469C2×D1111yescharacteristic, complemented
948#469C2×D1111yescharacteristic, complemented
949#466—111no—
950#466—111no—
951#466—111no—
952#466—111no—
953#460—111no—
954#460—111no—
955#460—111no—
956#459—111no—
957#459—111no—
958#459—111no—
959#459—111no—
960#459—111no—
961#459—111no—
962#459—111no—
963#459—111no—
964#459—111no—
965#449—111no—
966#449—111no—
967#449—111no—
968#449—111no—
969#449—111no—
970#449—111no—
971#447—111no—
972#447—111no—
973#447—111no—
974#447—111no—
975#447—111no—
976#447—111no—
977#446—111no—
978C8×Q8—111no—
979#442—111no—
980#442—111no—
981#442—111no—
982#442—111no—
983#442—111no—
984#442—111no—
985#442—111no—
986#442—111no—
987#440—111no—
988#440—111no—
989#440—111no—
990#440—111no—
991C4×SD16—111no—
992C4×SD16—111no—
993C4×SD16—111no—
994C4×SD16—111no—
995C4×SD16—111no—
996C4×SD16—111no—
997C4×D8—111no—
998C4×D8—111no—
999C4×D8—111no—
1000C4×D8—111no—
1001C4×D8—111no—
1002C4×D8—111no—
1003C4×D8—111no—
1004C4×D8—111no—
1005C4×D8—111no—
1006C4×D8C2×D1111yescharacteristic, complemented
1007#436—111no—
1008#436—111no—
1009#436C2×D1111yescharacteristic, complemented
1010#435—111no—
1011#435—111no—
1012C8×D4—111no—
1013#433—111no—
1014#433—111no—
1015#431—111no—
1016#428—111no—
1017#428C2×D1111yescharacteristic, complemented
1018#428C2×D1111yescharacteristic, complemented
1019#418—111no—
1020#417—111no—
1021#416—111no—
1022#416—111no—
1023C2×#102—111no—
1024C2×#102—111no—
1025#405—111no—
1026#405—111no—
1027C4×M16—111no—
1028C22×C11—21no—
1029C22×C11—21no—
1030C22×C11—21no—
1031C22×C11—21no—
1032C22×C11—21no—
1033C22×C11—21no—
1034C22×C11—41no—
1035C22×C11—41no—
1036C22×C11—41no—
1037C22×C11—41no—
1038C22×C11—41no—
1039C22×C11—41no—
1040C22×C11C23×D411yescharacteristic
1041C2×D11—21no—
1042C2×D11—22no—
1043C2×D11—21no—
1044C2×D11—21no—
1045C2×D11—41no—
1046C2×D11—41no—
1047C2×D11—41no—
1048C2×D11—41no—
1049C2×D11—41no—
1050C2×D11—41no—
1051C2×D11—41no—
1052C2×D11—41no—
1053C2×D11—41no—
1054C2×D11—41no—
1055C2×D11—41no—
1056C2×D11—41no—
1057C2×D11—41no—
1058C2×D11—41no—
1059C2×D11—84no—
1060C2×D11—162no—
1061C2×D11—162no—
1062C4×C11—21no—
1063C4×C11—21no—
1064C4×C11—21no—
1065C4×C11—21no—
1066C4×C11—41no—
1067C4×C11—41no—
1068C4×C11—41no—
1069C4×C11—41no—
1070C4×C11—41no—
1071C4×C11—41no—
1072C4×C11C22×#4111yescharacteristic
1073C4×C11#58511yescharacteristic
1074Dic11—21no—
1075Dic11—21no—
1076Dic11—21no—
1077Dic11—22no—
1078Dic11—21no—
1079Dic11—21no—
1080Dic11—21no—
1081Dic11—41no—
1082Dic11—41no—
1083Dic11#57612yes—
1084C2×#41—111no—
1085C2×#41—111no—
1086C2×#41—111no—
1087C2×#41—221no—
1088C2×#41—221no—
1089C2×#41—221no—
1090C2×#41—221no—
1091C2×#41—221no—
1092C22×D4—111no—
1093C22×D4—111no—
1094C22×D4—111no—
1095C22×D4—221no—
1096C22×D4—221no—
1097C22×D4—221no—
1098C23×C4—221no—
1099AGL(1,ℤ/8)—224no—
1100AGL(1,ℤ/8)—224no—
1101AGL(1,ℤ/8)—224no—
1102C2×SD16—111no—
1103C2×SD16—111no—
1104C2×SD16—111no—
1105C2×SD16—111no—
1106C2×D8—111no—
1107C2×D8—111no—
1108C2×D8—111no—
1109C2×D8—111no—
1110C2×D8—111no—
1111C2×D8—111no—
1112C2×D8—111no—
1113C2×D8—111no—
1114C2×D8—111no—
1115C2×D8—111no—
1116C2×D8—111no—
1117C2×D8C22×D1111yescharacteristic
1118C2×M16—111no—
1119C2×M16—111no—
1120C2×M16C22×D1111yescharacteristic
1121C2×M16C22×D1111yescharacteristic
1122C22×C8—111no—
1123C22×C8—111no—
1124C4⋊Q8—111no—
1125C4⋊Q8—111no—
1126C4⋊Q8—221no—
1127#127—111no—
1128#127—111no—
1129#127—111no—
1130#127—111no—
1131#127—111no—
1132#127—111no—
1133#127—221no—
1134#127—221no—
1135#127—221no—
1136#126—21no—
1137#126—21no—
1138#126—111no—
1139#126—111no—
1140#126—221no—
1141#126—221no—
1142#125—111no—
1143#125—111no—
1144#125—111no—
1145#125—221no—
1146#125—221no—
1147#125C22×D1111yescharacteristic
1148#125C22×D1111yescharacteristic
1149#124—111no—
1150#124—221no—
1151#124—221no—
1152#124—221no—
1153#124—221no—
1154#123—21no—
1155#123—21no—
1156#123—111no—
1157#123—111no—
1158#123—221no—
1159#123—221no—
1160#123—221no—
1161#123—221no—
1162#123—221no—
1163#123—221no—
1164#123—221no—
1165#123—221no—
1166#123—221no—
1167#123—221no—
1168#123—221no—
1169#123—221no—
1170C22⋊Q8—111no—
1171C22⋊Q8—221no—
1172C22⋊Q8—221no—
1173C22⋊Q8—221no—
1174C22⋊Q8—221no—
1175#121—21no—
1176#121—21no—
1177#121—111no—
1178#121—111no—
1179#121—111no—
1180#121—111no—
1181#121—111no—
1182#121—111no—
1183#121—111no—
1184#121—111no—
1185#121—111no—
1186#121—221no—
1187#121—221no—
1188#121—221no—
1189#121—221no—
1190#121—221no—
1191#121—221no—
1192#121—221no—
1193#121—221no—
1194#121—221no—
1195#121—221no—
1196#121—221no—
1197#121—221no—
1198#121—221no—
1199#121—221no—
1200#121—221no—
1201#121—221no—
1202#121—221no—
1203#121—221no—
1204#121—221no—
1205#121—221no—
1206#121—221no—
1207#121—221no—
1208#121—221no—
1209#121—221no—
1210#121—221no—
1211#121—221no—
1212#121—221no—
1213#121—221no—
1214#121C22×D1111yescharacteristic
1215#121C22×D1111yescharacteristic
1216#121C22×D1111yescharacteristic
1217#121C22×D1111yescharacteristic
1218#120—221no—
1219#120—221no—
1220#120—221no—
1221#120—221no—
1222#120—221no—
1223#120—221no—
1224C4×Q8—111no—
1225C4×Q8—111no—
1226C4×Q8—111no—
1227C4×Q8—111no—
1228C4×Q8—111no—
1229C4×Q8—221no—
1230C4×D4—21no—
1231C4×D4—21no—
1232C4×D4—111no—
1233C4×D4—111no—
1234C4×D4—111no—
1235C4×D4—111no—
1236C4×D4—111no—
1237C4×D4—111no—
1238C4×D4—111no—
1239C4×D4—111no—
1240C4×D4—111no—
1241C4×D4—111no—
1242C4×D4—111no—
1243C4×D4—111no—
1244C4×D4—111no—
1245C4×D4—111no—
1246C4×D4—111no—
1247C4×D4—111no—
1248C4×D4—221no—
1249C4×D4—221no—
1250C4×D4—221no—
1251C4×D4—221no—
1252C4×D4—221no—
1253C4×D4—221no—
1254C4×D4—221no—
1255C4×D4—221no—
1256C4×D4—221no—
1257C4×D4—221no—
1258C4×D4—221no—
1259C4×D4—221no—
1260C4×D4—221no—
1261C4×D4—221no—
1262C4×D4—221no—
1263C4×D4—221no—
1264C4×D4—221no—
1265C4×D4—221no—
1266C4×D4—221no—
1267C4×D4C22×D1111yescharacteristic
1268C4×D4C22×D1111yescharacteristic
1269C4×D4C22×D1111yescharacteristic
1270#117—111no—
1271#117—111no—
1272#117—111no—
1273#117—221no—
1274#117—221no—
1275#117—221no—
1276#117—221no—
1277#117C22×D1111yescharacteristic
1278#117C22×D1111yescharacteristic
1279C2×C4⋊C4—111no—
1280C2×C4⋊C4—221no—
1281C2×C4⋊C4—221no—
1282C2×C4⋊C4—221no—
1283C2×C4⋊C4C22×D1111yescharacteristic
1284C2×C4⋊C4C22×D1111yescharacteristic
1285C2×C22⋊C4—221no—
1286C2×C22⋊C4—221no—
1287C2×C22⋊C4—221no—
1288C2×C22⋊C4—221no—
1289C2×C22⋊C4—221no—
1290C2×C42—111no—
1291C2×C42—221no—
1292#107—111no—
1293#107—111no—
1294#107—111no—
1295#107C22×D1111yescharacteristic
1296#107C22×D1111yescharacteristic
1297#107C22×D1111yescharacteristic
1298#107C22×D1111yescharacteristic
1299#107C22×D1111yescharacteristic
1300#106—111no—
1301#106—111no—
1302#106—111no—
1303#106—111no—
1304#106C22×D1111yescharacteristic
1305#106C22×D1111yescharacteristic
1306#106C22×D1111yescharacteristic
1307#106C22×D1111yescharacteristic
1308C4⋊C8—111no—
1309C4⋊C8—111no—
1310C4⋊C8—111no—
1311C4⋊C8—111no—
1312C4⋊C8—111no—
1313C4⋊C8C22×D1111yescharacteristic
1314#103—111no—
1315#103—111no—
1316#103—111no—
1317#103—111no—
1318#102—111no—
1319#102—111no—
1320#102—111no—
1321#102—111no—
1322#102—111no—
1323#102—111no—
1324#102—111no—
1325#102—111no—
1326#102—111no—
1327#102—111no—
1328#102—111no—
1329#102—111no—
1330#102—111no—
1331#102—111no—
1332#102—111no—
1333#102—111no—
1334#102—111no—
1335#102—111no—
1336#102—111no—
1337#102—111no—
1338#102—111no—
1339#102—111no—
1340#102C22×D1111yescharacteristic
1341#102C22×D1111yescharacteristic
1342#102C22×D1111yescharacteristic
1343#102C22×D1111yescharacteristic
1344#102C22×D1111yescharacteristic
1345#102C22×D1111yescharacteristic
1346C22⋊C8—111no—
1347C22⋊C8—111no—
1348C22⋊C8—111no—
1349C22⋊C8—111no—
1350C22⋊C8C22×D1111yescharacteristic
1351C22⋊C8C22×D1111yescharacteristic
1352#97—111no—
1353#97—111no—
1354#97—111no—
1355#97—111no—
1356C4×C8—111no—
1357C4×C8—111no—
1358C4×C8—111no—
1359C4×C8—111no—
1360C4×C8—111no—
1361C4×C8C22×D1111yescharacteristic
1362C2×C11—41no—
1363C2×C11—41no—
1364C2×C11—81no—
1365C2×C11—81no—
1366C2×C11D4×#4111yescharacteristic
1367C2×C11C2×#57611yescharacteristic
1368C2×C11#358511yescharacteristic
1369D11—41no—
1370D11—42no—
1371D11—81no—
1372D11—81no—
1373D11—81no—
1374D11—81no—
1375C24—221no—
1376C24—221no—
1377C24—221no—
1378#41—222no—
1379#41—222no—
1380#41—222no—
1381#41—441no—
1382#41—441no—
1383#41—441no—
1384#41—882no—
1385#41—882no—
1386#41—882no—
1387#41—882no—
1388#41—882no—
1389C2×Q8—111no—
1390C2×Q8—111no—
1391C2×Q8—221no—
1392C2×Q8—221no—
1393C2×D4—21no—
1394C2×D4—21no—
1395C2×D4—21no—
1396C2×D4—21no—
1397C2×D4—111no—
1398C2×D4—111no—
1399C2×D4—111no—
1400C2×D4—111no—
1401C2×D4—111no—
1402C2×D4—111no—
1403C2×D4—111no—
1404C2×D4—222no—
1405C2×D4—222no—
1406C2×D4—221no—
1407C2×D4—221no—
1408C2×D4—221no—
1409C2×D4—221no—
1410C2×D4—221no—
1411C2×D4—221no—
1412C2×D4—221no—
1413C2×D4—221no—
1414C2×D4—221no—
1415C2×D4—221no—
1416C2×D4—221no—
1417C2×D4—221no—
1418C2×D4—221no—
1419C2×D4—222no—
1420C2×D4—221no—
1421C2×D4—221no—
1422C2×D4—221no—
1423C2×D4—221no—
1424C2×D4—221no—
1425C2×D4—221no—
1426C2×D4—221no—
1427C2×D4—221no—
1428C2×D4—221no—
1429C2×D4—221no—
1430C2×D4—221no—
1431C2×D4—221no—
1432C2×D4—221no—
1433C2×D4—441no—
1434C2×D4—441no—
1435C2×D4—441no—
1436C2×D4—882no—
1437C2×D4—882no—
1438C2×D4—882no—
1439C2×D4D4×D1111yescharacteristic
1440C2×D4C23×D1111yescharacteristic
1441C2×D4C23×D1111yescharacteristic
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—111no—
1447C22×C4—111no—
1448C22×C4—111no—
1449C22×C4—221no—
1450C22×C4—221no—
1451C22×C4—221no—
1452C22×C4—221no—
1453C22×C4—221no—
1454C22×C4—221no—
1455C22×C4—221no—
1456C22×C4—221no—
1457C22×C4—221no—
1458C22×C4—221no—
1459C22×C4—221no—
1460C22×C4—221no—
1461C22×C4—221no—
1462C22×C4—221no—
1463C22×C4—221no—
1464C22×C4—221no—
1465C22×C4—221no—
1466C22×C4—221no—
1467C22×C4—882no—
1468C22×C4C23×D1111yescharacteristic
1469C22×C4C23×D1111yescharacteristic
1470SD16—114no—
1471SD16—222no—
1472SD16—222no—
1473SD16—222no—
1474D8—22no—
1475D8—222no—
1476D8—222no—
1477D8—222no—
1478D8—222no—
1479D8—222no—
1480D8—441no—
1481D8—441no—
1482D8—441no—
1483D8—441no—
1484D8—441no—
1485D8—441no—
1486M16—22no—
1487M16—22no—
1488M16—222no—
1489M16—441no—
1490C2×C8—111no—
1491C2×C8—111no—
1492C2×C8—111no—
1493C2×C8—111no—
1494C2×C8—441no—
1495C2×C8—441no—
1496C2×C8C23×D1111yescharacteristic
1497C2×C8C23×D1111yescharacteristic
1498C2×C8C23×D1111yescharacteristic
1499C2×C8C23×D1111yescharacteristic
1500C4⋊C4—21no—
1501C4⋊C4—21no—
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—111no—
1507C4⋊C4—111no—
1508C4⋊C4—111no—
1509C4⋊C4—111no—
1510C4⋊C4—111no—
1511C4⋊C4—111no—
1512C4⋊C4—111no—
1513C4⋊C4—111no—
1514C4⋊C4—111no—
1515C4⋊C4—111no—
1516C4⋊C4—111no—
1517C4⋊C4—221no—
1518C4⋊C4—221no—
1519C4⋊C4—221no—
1520C4⋊C4—221no—
1521C4⋊C4—221no—
1522C4⋊C4—221no—
1523C4⋊C4—221no—
1524C4⋊C4—221no—
1525C4⋊C4—221no—
1526C4⋊C4—221no—
1527C4⋊C4—221no—
1528C4⋊C4D4×D1111yescharacteristic
1529C4⋊C4C23×D1111yescharacteristic
1530C4⋊C4C23×D1111yescharacteristic
1531C4⋊C4C23×D1111yescharacteristic
1532C4⋊C4C23×D1111yescharacteristic
1533C4⋊C4C23×D1111yescharacteristic
1534C4⋊C4C23×D1111yescharacteristic
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—111no—
1544C22⋊C4—111no—
1545C22⋊C4—111no—
1546C22⋊C4—111no—
1547C22⋊C4—111no—
1548C22⋊C4—111no—
1549C22⋊C4—111no—
1550C22⋊C4—111no—
1551C22⋊C4—221no—
1552C22⋊C4—221no—
1553C22⋊C4—221no—
1554C22⋊C4—221no—
1555C22⋊C4—221no—
1556C22⋊C4—221no—
1557C22⋊C4—221no—
1558C22⋊C4—221no—
1559C22⋊C4—221no—
1560C22⋊C4—221no—
1561C22⋊C4—221no—
1562C22⋊C4—221no—
1563C22⋊C4—221no—
1564C22⋊C4—221no—
1565C22⋊C4—221no—
1566C22⋊C4—221no—
1567C22⋊C4—221no—
1568C22⋊C4—221no—
1569C22⋊C4—221no—
1570C22⋊C4—221no—
1571C22⋊C4—221no—
1572C22⋊C4—221no—
1573C22⋊C4—221no—
1574C22⋊C4D4×D1111yescharacteristic
1575C22⋊C4D4×D1111yescharacteristic
1576C42—21no—
1577C42—21no—
1578C42—111no—
1579C42—111no—
1580C42—111no—
1581C42—111no—
1582C42—111no—
1583C42—221no—
1584C42—221no—
1585C42—221no—
1586C42—221no—
1587C42—221no—
1588C42C23×D1111yescharacteristic
1589C11#6155511yescharacteristic, complemented, Sylow
1590C23—21no—
1591C23—21no—
1592C23—111no—
1593C23—221no—
1594C23—221no—
1595C23—221no—
1596C23—221no—
1597C23—221no—
1598C23—442no—
1599C23—442no—
1600C23—442no—
1601C23—442no—
1602C23—881no—
1603C23—881no—
1604C23—881no—
1605C23—881no—
1606C23—881no—
1607C23C2×D4×D1111yescharacteristic
1608C23C2×D4×D1111yescharacteristic
1609Q8—112no—
1610Q8—222no—
1611Q8—221no—
1612Q8—442no—
1613Q8—881no—
1614D4—21no—
1615D4—21no—
1616D4—21no—
1617D4—21no—
1618D4—41no—
1619D4—42no—
1620D4—81no—
1621D4—81no—
1622D4—81no—
1623D4—112no—
1624D4—222no—
1625D4—221no—
1626D4—221no—
1627D4—221no—
1628D4—221no—
1629D4—221no—
1630D4—221no—
1631D4—221no—
1632D4—221no—
1633D4—221no—
1634D4—442no—
1635D4—442no—
1636D4—442no—
1637D4—442no—
1638D4—441no—
1639D4—442no—
1640D4—442no—
1641D4—442no—
1642D4—442no—
1643D4—442no—
1644D4—881no—
1645D4—881no—
1646D4—881no—
1647D4—881no—
1648D4—881no—
1649D4—881no—
1650D4—881no—
1651D4—881no—
1652D4—881no—
1653D4—881no—
1654D4—881no—
1655D4—881no—
1656D4—881no—
1657D4—881no—
1658D4—881no—
1659D4—881no—
1660D4—881no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—81no—
1672C2×C4—81no—
1673C2×C4—81no—
1674C2×C4—81no—
1675C2×C4—111no—
1676C2×C4—111no—
1677C2×C4—111no—
1678C2×C4—111no—
1679C2×C4—111no—
1680C2×C4—111no—
1681C2×C4—111no—
1682C2×C4—222no—
1683C2×C4—221no—
1684C2×C4—221no—
1685C2×C4—221no—
1686C2×C4—221no—
1687C2×C4—221no—
1688C2×C4—442no—
1689C2×C4—442no—
1690C2×C4—442no—
1691C2×C4—442no—
1692C2×C4—442no—
1693C2×C4—441no—
1694C2×C4—442no—
1695C2×C4—881no—
1696C2×C4—881no—
1697C2×C4—881no—
1698C2×C4—881no—
1699C2×C4—881no—
1700C2×C4—881no—
1701C2×C4—881no—
1702C2×C4—881no—
1703C2×C4—881no—
1704C2×C4—881no—
1705C2×C4—881no—
1706C2×C4—881no—
1707C2×C4C2×D4×D1111yescharacteristic
1708C2×C4C2×D4×D1111yescharacteristic
1709C2×C4C2×D4×D1111yescharacteristic
1710C2×C4C2×D4×D1111yescharacteristic
1711C2×C4C24×D1111yescharacteristic
1712C8—21no—
1713C8—21no—
1714C8—21no—
1715C8—221no—
1716C8—221no—
1717C8—221no—
1718C8—221no—
1719C8#41×D1112yes—
1720C22—21no—
1721C22—21no—
1722C22—21no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—221no—
1733C22—221no—
1734C22—221no—
1735C22—222no—
1736C22—441no—
1737C22—441no—
1738C22—441no—
1739C22—441no—
1740C22—441no—
1741C22—441no—
1742C22—441no—
1743C22—441no—
1744C22—441no—
1745C22—441no—
1746C22—441no—
1747C22—441no—
1748C22—441no—
1749C22—441no—
1750C22—884no—
1751C22—1762no—
1752C22—1762no—
1753C22C22×D4×D1111yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—112no—
1765C4—221no—
1766C4—221no—
1767C4—221no—
1768C4—221no—
1769C4—221no—
1770C4—221no—
1771C4—222no—
1772C4—441no—
1773C4—441no—
1774C4C2×#41×D1111yescharacteristic
1775C4#1062345711yescharacteristic
1776C2—41no—
1777C2—41no—
1778C2—81no—
1779C2—81no—
1780C2—441no—
1781C2—442no—
1782C2—881no—
1783C2—881no—
1784C2—881no—
1785C2—881no—
1786C2#1308210311yescharacteristic
1787C2D11×#57611yescharacteristic
1788C2#1308339311yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3355C2
socleC22×C11C23×D4
hypercenter#3355D11
hypocenterC11#61555
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3355

Complements

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

NH ≅ G/Ntype
1. #13082644C2semidirect
2. #13082615C2semidirect
3. #13081590C2semidirect
4. #13081488C2semidirect
5. #13081348C2semidirect
6. #13081326C2semidirect
7. #13081218C2semidirect
8. #13081207C2semidirect
9. #13080760C2semidirect
10. #13080751C2semidirect
11. #13080625C2semidirect
12. #13080616C2semidirect
13. #13080564C2semidirect
14. #13080427C2semidirect
15. #13080238C2semidirect
16. #13080233C2semidirect
17. #13080233C2semidirect
18. #13079349C2semidirect
19. #13079267C2semidirect
20. #13079261C2semidirect
21. #13078861C2semidirect
22. #13078855C2semidirect
23. #13078820C2semidirect
24. #13078818C2semidirect
25. #13078671C2semidirect
26. #13078613C2semidirect
27. #13077615C2semidirect
28. #13077446C2semidirect
29. #13077441C2semidirect
30. #13077423C2semidirect
31. C11×#3355C2semidirect
33. C11×#553C22semidirect
42. #10623229C22semidirect
44. #10623216C22semidirect
50. #10623150C22semidirect
57. #10623130C22semidirect
58. #10623130C22semidirect
60. #10623127C22semidirect
63. #10623084C22semidirect
64. #10623084C22semidirect
68. #10623077C22semidirect
73. #10623061C22semidirect
74. #10623053C22semidirect
77. #10623038C22semidirect
78. #10623035C22semidirect
80. C11×#499C22semidirect
81. C11×#482C22semidirect
82. C11×#482C22semidirect
83. C11×#480C22semidirect
84. C11×#480C22semidirect
85. C11×#478C22semidirect
86. C11×#478C22semidirect
87. C11×#469C22semidirect
88. C11×#469C22semidirect
89. C4×C11×D8C22semidirect
90. C11×#436C22semidirect
91. C11×#428C22semidirect
92. C11×#428C22semidirect
93. #10622765C22semidirect
94. #10622764C22semidirect
95. #10622764C22semidirect
96. #10622748C22semidirect
97. #10622748C22semidirect
98. #10622741C22semidirect
99. #10622741C22semidirect
100. #10622735C22semidirect
101. M16×Dic11C22semidirect
102. #10622680C22semidirect
103. #10622680C22semidirect
105. #10622676C22semidirect
106. #10622652C22semidirect
107. #10622652C22semidirect
108. #10622651C22semidirect
109. #10622651C22semidirect
110. #10622650C22semidirect
111. #10622650C22semidirect
114. #10622631C22semidirect
115. #10622628C22semidirect
116. #10622628C22semidirect
118. #10622624C22semidirect
119. #10622616C22semidirect
120. #10622616C22semidirect
121. #10622615C22semidirect
123. #10622581C22semidirect
124. #10622580C22semidirect
125. #10622579C22semidirect
128. #10622504C22semidirect
130. #10622503C22semidirect
132. #10622502C22semidirect
133. #10622502C22semidirect
134. #10622498C22semidirect
135. #10622496C22semidirect
136. #10622496C22semidirect
137. #10622495C22semidirect
138. #10622494C22semidirect
139. #10622490C22semidirect
140. #10622488C22semidirect
143. #10622485C22semidirect
144. #10622485C22semidirect
145. #10622485C22semidirect
146. #10622485C22semidirect
147. #10622484C22semidirect
148. #10622483C22semidirect
151. #10622482C22semidirect
152. #10622482C22semidirect
153. #10622479C22semidirect
154. #10622478C22semidirect
155. #10622478C22semidirect
156. #10622476C22semidirect
157. #10622471C22semidirect
158. #10622468C22semidirect
161. #10622465C22semidirect
162. #10622465C22semidirect
163. #10622461C22semidirect
165. #10622453C22semidirect
166. #10622441C22semidirect
169. #10622399C22semidirect
170. #10622399C22semidirect
171. #10622399C22semidirect
172. #10622399C22semidirect
173. #10622398C22semidirect
174. #10622398C22semidirect
175. #10622394C22semidirect
176. #10622394C22semidirect
179. #10622385C22semidirect
181. #10622377C22semidirect
182. #10622377C22semidirect
183. #10622375C22semidirect
184. #10622375C22semidirect
185. #10622373C22semidirect
186. #10622373C22semidirect
187. #10622371C22semidirect
189. #10622369C22semidirect
190. #10622369C22semidirect
191. #10622347C22semidirect
192. #10622347C22semidirect
195. #10622341C22semidirect
196. (C22⋊D11)⋊C8C22semidirect
197. #10622333C22semidirect
198. #10622331C22semidirect
199. #10622308C22semidirect
201. #10622302C22semidirect
202. C8×Dic22C22semidirect
693. #4314#41semidirect
703. #3355D11semidirect
869. #553C2×D11semidirect
906. #499C2×D11semidirect
921. #482C2×D11semidirect
922. #482C2×D11semidirect
927. #480C2×D11semidirect
928. #480C2×D11semidirect
935. #478C2×D11semidirect
936. #478C2×D11semidirect
947. #469C2×D11semidirect
948. #469C2×D11semidirect
1006. C4×D8C2×D11semidirect
1009. #436C2×D11semidirect
1017. #428C2×D11semidirect
1018. #428C2×D11semidirect
1589. C11#61555semidirect

Maximal subgroups

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

subgroupindex
#130826442
#130826152
#130815902
#130814882
#130813482
#130813262
#130812182
#130812072
#130807602
#130807512
#130806252
#130806162
#130805642
#130804272
#130802382
#130802332
#130793492
#130792672
#130792612
#130788612
#130788552
#130788202
#130788182
#130786712
#130786132
#130776152
#130774462
#130774412
#130774232
C11×#33552
#6155511