Finite Group Databasebeta

← #15650759

Subgroups — #15650759

Order 2816.

1750 conjugacy classes of subgroups.

The subgroup lattice has 1680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13083146C211yesmaximal, characteristic, complemented
2#13082663C211yesmaximal, characteristic, complemented
3#13081519C211yesmaximal, characteristic, complemented
4#13081510C211yesmaximal, characteristic, complemented
5#13081447C211yesmaximal, characteristic, complemented
6#13081440C211yesmaximal, characteristic, complemented
7#13081098C211yesmaximal, characteristic, complemented
8#13081096C211yesmaximal, characteristic, complemented
9#13081092C211yesmaximal, characteristic, complemented
10#13081081C211yesmaximal, characteristic, complemented
11#13080970C211yesmaximal, characteristic, complemented
12#13080968C211yesmaximal, characteristic, complemented
13#13080598C211yesmaximal, characteristic, complemented
14#13080587C211yesmaximal, characteristic, complemented
15#13080584C211yesmaximal, characteristic, complemented
16#13080572C211yesmaximal, characteristic, complemented
17#13080473C211yesmaximal, characteristic, complemented
18#13080461C211yesmaximal, characteristic, complemented
19#13080023C211yesmaximal, characteristic, complemented
20#13079930C211yesmaximal, characteristic, complemented
21#13079913C211yesmaximal, characteristic, complemented
22#13079908C211yesmaximal, characteristic, complemented
23#13079820C211yesmaximal, characteristic, complemented
24#13078814C211yesmaximal, characteristic, complemented
25#13078809C211yesmaximal, characteristic, complemented
26#13078706C211yesmaximal, characteristic, complemented
27#13078481C211yesmaximal, characteristic, complemented
28#13078480C211yesmaximal, characteristic, complemented
29D11×#478C211yesmaximal, characteristic, complemented
30#13077753C211yesmaximal, characteristic, complemented
31C11×#3257C211yesmaximal, characteristic, complemented
32C11×#542C2211yescharacteristic
33C11×#540C2211yescharacteristic, complemented
34#10623261C2211yescharacteristic
35#10623258C2211yescharacteristic
36#10623250C2211yescharacteristic, complemented
37#10623247C2211yescharacteristic
38#10623239—21no—
39#10623236—21no—
40#10623220C2211yescharacteristic, complemented
41D11×#125C2211yescharacteristic
42#10623210—21no—
43#10623208—21no—
44#10623207C2211yescharacteristic
45#10623202C2211yescharacteristic
46#10623196—21no—
47#10623191—21no—
48#10623191—21no—
49#10623187—21no—
50#10623186—21no—
51#10623182—21no—
52#10623169—21no—
53#10623166C2211yescharacteristic
54#10623162C2211yescharacteristic
55D11×C22⋊Q8—21no—
56#10623152—21no—
57#10623149C2211yescharacteristic, complemented
58#10623145C2211yescharacteristic
59#10623145C2211yescharacteristic, complemented
60#10623143C2211yescharacteristic
61#10623142—21no—
62#10623142C2211yescharacteristic
63#10623142C2211yescharacteristic
64#10623139—21no—
65#10623133—21no—
66#10623109C2211yescharacteristic
67#10623105C2211yescharacteristic
68#10623092C2211yescharacteristic
69#10623089C2211yescharacteristic
70#10623082C2211yescharacteristic
71C4×D4×D11C2211yescharacteristic
72#10623074C2211yescharacteristic, complemented
73#10623070C2211yescharacteristic, complemented
74#10623059C2211yescharacteristic
75#10623054C2211yescharacteristic
76#10623050C2211yescharacteristic, complemented
77C11×#479C2211yescharacteristic, complemented
78C11×#478C2211yescharacteristic
79C11×#476C2211yescharacteristic, complemented
80C11×#474C2211yescharacteristic, complemented
81C11×#469C2211yescharacteristic
82C11×#468C2211yescharacteristic, complemented
83C11×#466C2211yescharacteristic
84C11×#465C2211yescharacteristic, complemented
85C11×#463C2211yescharacteristic
86C11×#463C2211yescharacteristic
87C11×#460C2211yescharacteristic, complemented
88C11×#459C2211yescharacteristic
89C11×#424C2211yescharacteristic, complemented
90#10622785C2211yescharacteristic
91#10622785C2211yescharacteristic
92#10622784C2211yescharacteristic
93#10622784C2211yescharacteristic
94#10622777C2211yescharacteristic, complemented
95#10622775C2211yescharacteristic, complemented
96#10622775C2211yescharacteristic, complemented
97SD16×Dic11C2211yescharacteristic, complemented
98#10622772C2211yescharacteristic
99#10622770C2211yescharacteristic
100#10622769C2211yescharacteristic
101#10622769C2211yescharacteristic
102#10622766C2211yescharacteristic
103#10622766C2211yescharacteristic
104#10622765C2211yescharacteristic
105#10622765C2211yescharacteristic
106#10622746C2211yescharacteristic
107#10622740C2211yescharacteristic
108#10622740C2211yescharacteristic, complemented
109#10622734C2211yescharacteristic, complemented
110#10622726C2211yescharacteristic
111#10622724C2211yescharacteristic, complemented
112C8×C22⋊D11C2211yescharacteristic
113C2×#66881C2211yescharacteristic, complemented
114#10622693C2211yescharacteristic, complemented
115#10622692C2211yescharacteristic, complemented
116#10622688C2211yescharacteristic, complemented
117#10622685C2211yescharacteristic
118#10622679C2211yescharacteristic
119#10622676C2211yescharacteristic, complemented
120#10622669C2211yescharacteristic
121#10622668C2211yescharacteristic
122#10622658C2211yescharacteristic, complemented
123#10622656C2211yescharacteristic, complemented
124#10622650C2211yescharacteristic
125#10622650C2211yescharacteristic
126#10622648C2211yescharacteristic
127#10622647C2211yescharacteristic
128#10622647C2211yescharacteristic, complemented
129#10622646C2211yescharacteristic, complemented
130#10622635C2211yescharacteristic, complemented
131#10622633C2211yescharacteristic, complemented
132#10622631C2211yescharacteristic, complemented
133C4×#4324C2211yescharacteristic, complemented
134#10622627C2211yescharacteristic
135C4×#4323C2211yescharacteristic
136#10622622C2211yescharacteristic
137#10622621C2211yescharacteristic
138#10622613C2211yescharacteristic, complemented
139#10622504C2211yescharacteristic
140#10622504C2211yescharacteristic
141#10622501C2211yescharacteristic, complemented
142#10622497C2211yescharacteristic
143#10622494C2211yescharacteristic, complemented
144D11×#107C2211yescharacteristic
145#10622489C2211yescharacteristic, complemented
146#10622489C2211yescharacteristic, complemented
147#10622484C2211yescharacteristic
148#10622483C2211yescharacteristic
149#10622475C2211yescharacteristic
150#10622475C2211yescharacteristic, complemented
151D11×#106C2211yescharacteristic
152D11×#106C2211yescharacteristic, complemented
153#10622469C2211yescharacteristic, complemented
154#10622468C2211yescharacteristic, complemented
155#10622464C2211yescharacteristic, complemented
156#10622464C2211yescharacteristic, complemented
157#10622460C2211yescharacteristic
158#10622460C2211yescharacteristic
159#10622455C2211yescharacteristic
160#10622455C2211yescharacteristic
161#10622453C2211yescharacteristic, complemented
162#10622452C2211yescharacteristic, complemented
163#10622449C2211yescharacteristic
164#10622448C2211yescharacteristic
165#10622447C2211yescharacteristic
166D11×C4⋊C8C2211yescharacteristic
167#10622444C2211yescharacteristic, complemented
168#10622442C2211yescharacteristic, complemented
169#10622442C2211yescharacteristic, complemented
170#10622441C2211yescharacteristic, complemented
171#10622422C2211yescharacteristic
172#10622418C2211yescharacteristic
173#10622417C2211yescharacteristic
174#10622416C2211yescharacteristic
175#10622412C2211yescharacteristic, complemented
176#10622410C2211yescharacteristic, complemented
177#10622410C2211yescharacteristic, complemented
178#10622404C2211yescharacteristic, complemented
179#10622398C2211yescharacteristic
180#10622398C2211yescharacteristic
181#10622398C2211yescharacteristic
182#10622393C2211yescharacteristic, complemented
183#10622392C2211yescharacteristic
184#10622391C2211yescharacteristic
185#10622391C2211yescharacteristic
186#10622391C2211yescharacteristic, complemented
187#10622390C2211yescharacteristic
188#10622390C2211yescharacteristic
189#10622390C2211yescharacteristic
190#10622390C2211yescharacteristic, complemented
191#10622387C2211yescharacteristic, complemented
192D11×#102C2211yescharacteristic
193D11×#102C2211yescharacteristic
194#10622381C2211yescharacteristic
195#10622379C2211yescharacteristic
196#10622378C2211yescharacteristic
197#10622376C2211yescharacteristic
198#10622374C2211yescharacteristic, complemented
199#10622374C2211yescharacteristic, complemented
200#10622374C2211yescharacteristic, complemented
201#10622372C2211yescharacteristic, complemented
202#10622369C2211yescharacteristic
203C2×#4343C2311yescharacteristic
204C2×Q8×D11—21no—
205C2×#4341—21no—
206C2×#4341—21no—
207C2×#4341—21no—
208C2×D4×D11C2311yescharacteristic
209C2×#4339—21no—
210C2×#4339C2311yescharacteristic
211C22×C4×D11—21no—
212C2×C11×SD16C2311yescharacteristic
213C2×C11×SD16C2311yescharacteristic
214C2×C11×D8C2311yescharacteristic
215C2×C11×D8C2311yescharacteristic
216C2×C11×M16C2311yescharacteristic
217C22×C8×C11C2311yescharacteristic
218C11×C4⋊Q8C2311yescharacteristic
219C11×#127C2311yescharacteristic
220C11×#126—21no—
221C11×#125C2311yescharacteristic
222C11×#124—21no—
223C11×#124C2311yescharacteristic
224C11×#123—21no—
225C11×#123—21no—
226C11×#123—21no—
227C11×C22⋊Q8—21no—
228C11×C22⋊Q8C2311yescharacteristic
229C11×#121—21no—
230C11×#121—21no—
231C11×#121C2311yescharacteristic
232C11×#121C2311yescharacteristic
233C11×#121C2311yescharacteristic
234C4×Q8×C11C2311yescharacteristic
235C4×D4×C11C2311yescharacteristic
236C4×D4×C11C2311yescharacteristic
237C4×D4×C11C2311yescharacteristic
238C11×#117C2311yescharacteristic
239#66999—21no—
240#66999—21no—
241#66999—21no—
242#66999C2311yescharacteristic
243Q8×Dic11C2311yescharacteristic
244#66997C2311yescharacteristic
245#66992—21no—
246#66992—21no—
247#66992—21no—
248#66991—21no—
249#66991—21no—
250#66991—21no—
251#66991—21no—
252#66991C2311yescharacteristic
253#66991C2311yescharacteristic
254#66991C2311yescharacteristic
255#66991C2311yescharacteristic
256#66991C2311yescharacteristic
257#66990—21no—
258#66989—21no—
259#66989C2311yescharacteristic
260#66988—21no—
261#66988—21no—
262#66988—21no—
263#66988—21no—
264#66988—21no—
265#66988—21no—
266D4×Dic11—21no—
267D4×Dic11—21no—
268D4×Dic11C2311yescharacteristic
269D4×Dic11C2311yescharacteristic
270D4×Dic11C2311yescharacteristic
271D4×Dic11C2311yescharacteristic
272D4×Dic11C2311yescharacteristic
273C2×#4324C2311yescharacteristic
274C2×#4324C2311yescharacteristic
275C2×#4323C2311yescharacteristic
276C2×#4323C2311yescharacteristic
277#66982—21no—
278#66982—21no—
279C4×C22⋊D11—21no—
280C4×C22⋊D11—21no—
281C4×C22⋊D11C2311yescharacteristic
282C4×C22⋊D11C2311yescharacteristic
283#66979C2311yescharacteristic
284C2×C4⋊Dic11—21no—
285C2×C4⋊Dic11C2311yescharacteristic
286C2×C4⋊Dic11C2311yescharacteristic
287#66977—21no—
288#66977—21no—
289#66977—21no—
290#66977—21no—
291C2×Dic11⋊C4—21no—
292C2×#4313C2311yescharacteristic
293C2×C8×D11C2311yescharacteristic
294C2×C8×D11C2311yescharacteristic
295C2×C8×D11C2311yescharacteristic
296#66951D411yescharacteristic
297#66950—21no—
298#66950—21no—
299#66950C2311yescharacteristic
300#66950C2311yescharacteristic
301#66949—21no—
302#66949—21no—
303#66949—21no—
304#66949—21no—
305#66949D411yescharacteristic
306#66947—21no—
307#66947D411yescharacteristic
308#66946—21no—
309#66946—21no—
310#66946C2311yescharacteristic
311#66946C2311yescharacteristic
312#66945—21no—
313#66945C2311yescharacteristic
314C4⋊C4×D11—21no—
315C4⋊C4×D11—21no—
316C4⋊C4×D11—21no—
317C4⋊C4×D11—21no—
318C4⋊C4×D11—21no—
319C4⋊C4×D11C2311yescharacteristic
320C4⋊C4×D11C2311yescharacteristic
321C4⋊C4×D11C2311yescharacteristic
322C4⋊C4×D11C2311yescharacteristic
323C4⋊C4×D11C2311yescharacteristic
324#66943—21no—
325#66943—21no—
326#66943C2311yescharacteristic
327#66943C2311yescharacteristic
328#66943C2311yescharacteristic
329#66942—21no—
330#66942—21no—
331#66942—21no—
332#66942—21no—
333#66942—21no—
334#66942D411yescharacteristic
335#66941—21no—
336#66941—21no—
337#66941C2311yescharacteristic
338#66941C2311yescharacteristic
339#66941C2311yescharacteristic
340#66939—21no—
341#66938—21no—
342#66938D411yescharacteristic
343#66937—21no—
344#66937—21no—
345#66937—21no—
346#66937D411yescharacteristic
347#66936—21no—
348#66936—21no—
349#66936—21no—
350#66936—21no—
351#66936—21no—
352#66936—21no—
353#66936—21no—
354#66936D411yescharacteristic
355#66935—21no—
356(C22⋊D11)⋊C4—21no—
357(C22⋊D11)⋊C4—21no—
358(C22⋊D11)⋊C4—21no—
359(C22⋊D11)⋊C4—21no—
360(C22⋊D11)⋊C4—21no—
361(C22⋊D11)⋊C4—21no—
362C22⋊C4×D11—21no—
363C22⋊C4×D11—21no—
364C22⋊C4×D11—21no—
365#66932—21no—
366#66932—21no—
367#66932—21no—
368#66932—21no—
369#66932—21no—
370#66932—21no—
371#66932—21no—
372#66932D411yescharacteristic
373#66931—21no—
374#66931—21no—
375#66931—21no—
376#66931—21no—
377#66931—21no—
378#66931—21no—
379#66931—21no—
380#66931—21no—
381#66931—21no—
382#66931—21no—
383#66930—21no—
384C4×D44—21no—
385C4×D44C2311yescharacteristic
386C4×D44C2311yescharacteristic
387C4×D44C2311yescharacteristic
388#66925—21no—
389#66925—21no—
390#66925C2311yescharacteristic
391C42×D11C2311yescharacteristic
392#66923C2311yescharacteristic
393#66923C2311yescharacteristic
394#66922C2311yescharacteristic
395#66922C2311yescharacteristic
396C4×Dic22—21no—
397C4×Dic22C2311yescharacteristic
398C4×Dic22C2311yescharacteristic
399C4×Dic22C2311yescharacteristic
400C11×#107C2311yescharacteristic
401C11×#107C2311yescharacteristic
402C11×#106C2311yescharacteristic
403C11×#106C2311yescharacteristic
404C11×C4⋊C8C2311yescharacteristic
405C11×C4⋊C8C2311yescharacteristic
406C11×C4⋊C8C2311yescharacteristic
407C11×C4⋊C8C2311yescharacteristic
408C11×#103C2311yescharacteristic
409C11×#103C2311yescharacteristic
410C11×#102C2311yescharacteristic
411C11×#102C2311yescharacteristic
412C11×#102C2311yescharacteristic
413C11×#102C2311yescharacteristic
414C11×#102C2311yescharacteristic
415C11×#102C2311yescharacteristic
416#66899C2311yescharacteristic
417#66899C2311yescharacteristic
418#66899C2311yescharacteristic
419#66899C2311yescharacteristic
420#66896C2311yescharacteristic
421#66896C2311yescharacteristic
422#66896C2311yescharacteristic
423#66896C2311yescharacteristic
424#66896C2311yescharacteristic
425#66896C2311yescharacteristic
426#66896C2311yescharacteristic
427#66896C2311yescharacteristic
428C22⋊(C11⋊C8)C2311yescharacteristic
429C22⋊(C11⋊C8)C2311yescharacteristic
430#66885C2311yescharacteristic
431#66885C2311yescharacteristic
432#66885C2311yescharacteristic
433#66885C2311yescharacteristic
434(C2×D11)⋊C8C2311yescharacteristic
435(C2×D11)⋊C8C2311yescharacteristic
436(C2×D11)⋊C8C2311yescharacteristic
437(C2×D11)⋊C8C2311yescharacteristic
438#66882C2311yescharacteristic
439#66882C2311yescharacteristic
440#66881C2311yescharacteristic
441#66881C2311yescharacteristic
442#66881C2311yescharacteristic
443#66881C2311yescharacteristic
444#66881C2311yescharacteristic
445#66881C2311yescharacteristic
446#66880C2311yescharacteristic
447#66880C2311yescharacteristic
448#66880C2311yescharacteristic
449#66880C2311yescharacteristic
450#66879C2311yescharacteristic
451#66879C2311yescharacteristic
452#66879C2311yescharacteristic
453Dic11⋊C8C2311yescharacteristic
454Dic11⋊C8C2311yescharacteristic
455Dic11⋊C8C2311yescharacteristic
456Dic11⋊C8C2311yescharacteristic
457C8×Dic11C2311yescharacteristic
458#66874C2311yescharacteristic
459#66874C2311yescharacteristic
460#66873C2311yescharacteristic
461#66873C2311yescharacteristic
462#66872C2311yescharacteristic
463#66872C2311yescharacteristic
464#66872C2311yescharacteristic
465#66872C2311yescharacteristic
466#66872C2311yescharacteristic
467#66872C2311yescharacteristic
468#66872C2311yescharacteristic
469#66872C2311yescharacteristic
470#66871C2311yescharacteristic
471#66871C2311yescharacteristic
472#66871C2311yescharacteristic
473#66871C2311yescharacteristic
474C4⋊(C11⋊C8)C2311yescharacteristic
475C4⋊(C11⋊C8)C2311yescharacteristic
476#66867C2311yescharacteristic
477C4×C11⋊C8C2311yescharacteristic
478#62166—111nomaximal, Sylow
479C23×D11—21no—
480C2×Q8×C11—21no—
481C2×Q8×C11C2411yescharacteristic
482C2×D4×C11—21no—
483C2×D4×C11—21no—
484C2×D4×C11—21no—
485C2×D4×C11—21no—
486C2×D4×C11—21no—
487C2×D4×C11C2411yescharacteristic
488C2×D4×C11C2411yescharacteristic
489C2×D4×C11C2411yescharacteristic
490C22×C4×C11—21no—
491C22×C4×C11—21no—
492C22×C4×C11—21no—
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×Dic11—21no—
505C22×Dic11—21no—
506C22×Dic11—21no—
507C22×Dic11—21no—
508C22×Dic11—21no—
509C22×Dic11—21no—
510#4343—22no—
511#4343—41no—
512Q8×D11—82no—
513#4341—82no—
514#4341—82no—
515#4341—82no—
516D4×D11—22no—
517D4×D11—41no—
518#4339—22no—
519#4339—41no—
520#4339—82no—
521C2×D44—21no—
522C2×D44C2×D411yescharacteristic
523C2×D44C2411yescharacteristic
524C2×C4×D11—21no—
525C2×C4×D11—21no—
526C2×C4×D11—21no—
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—82no—
536C2×C4×D11C2×D411yescharacteristic
537C2×C4×D11C2×D411yescharacteristic
538C2×C4×D11C2411yescharacteristic
539C2×C4×D11C2411yescharacteristic
540C2×Dic22—21no—
541C2×Dic22—21no—
542C2×Dic22—21no—
543C2×Dic22—21no—
544C2×Dic22—21no—
545C2×Dic22C2×D411yescharacteristic
546C2×Dic22C2411yescharacteristic
547C11×SD16—41no—
548C11×SD16—41no—
549C11×D8—41no—
550C11×D8—41no—
551C11×M16—41no—
552C2×C8×C11—41no—
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⋊C4C2×D411yescharacteristic
563C11×C4⋊C4C2×D411yescharacteristic
564C11×C4⋊C4C2411yescharacteristic
565C11×C4⋊C4C2411yescharacteristic
566C11×C4⋊C4C2411yescharacteristic
567C11×C4⋊C4C2411yescharacteristic
568C11×C22⋊C4—21no—
569C11×C22⋊C4—21no—
570C11×C22⋊C4—21no—
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⋊C4C2×D411yescharacteristic
578C11×C22⋊C4C2×D411yescharacteristic
579C42×C11—21no—
580C42×C11C2411yescharacteristic
581C42×C11C2411yescharacteristic
582C22⋊Dic11—21no—
583C22⋊Dic11—21no—
584C22⋊Dic11—21no—
585C22⋊Dic11—21no—
586C22⋊Dic11—21no—
587C22⋊Dic11—21no—
588C22⋊Dic11—21no—
589C22⋊Dic11—21no—
590C22⋊Dic11—21no—
591C22⋊Dic11—21no—
592C22⋊Dic11—21no—
593C22⋊Dic11—21no—
594C22⋊Dic11—21no—
595C22⋊Dic11C2×D411yescharacteristic
596C22⋊Dic11C2×D411yescharacteristic
597#4324—41no—
598#4324—41no—
599#4323—22no—
600#4323—22no—
601(C2×D11)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
610(C2×D11)⋊C4C2×D411yescharacteristic
611(C2×D11)⋊C4C2×D411yescharacteristic
612(C2×D11)⋊C4C2×D411yescharacteristic
613(C2×D11)⋊C4C2×D411yescharacteristic
614(C2×D11)⋊C4C2×D411yescharacteristic
615C4⋊Dic11—21no—
616C4⋊Dic11—21no—
617C4⋊Dic11—21no—
618C4⋊Dic11—21no—
619C4⋊Dic11—21no—
620C4⋊Dic11—21no—
621C4⋊Dic11—21no—
622C4⋊Dic11—21no—
623C4⋊Dic11—21no—
624C4⋊Dic11—21no—
625C4⋊Dic11C2×D411yescharacteristic
626C4⋊Dic11C2×D411yescharacteristic
627C4⋊Dic11C2411yescharacteristic
628C4⋊Dic11C2411yescharacteristic
629C4⋊Dic11C2411yescharacteristic
630C4⋊Dic11C2411yescharacteristic
631C4⋊Dic11C2411yescharacteristic
632C4⋊Dic11C2411yescharacteristic
633Dic11⋊C4—21no—
634Dic11⋊C4—21no—
635Dic11⋊C4—21no—
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⋊C4C2×D411yescharacteristic
654Dic11⋊C4C2×D411yescharacteristic
655Dic11⋊C4C2×D411yescharacteristic
656Dic11⋊C4C2×D411yescharacteristic
657Dic11⋊C4C2×D411yescharacteristic
658Dic11⋊C4C2×D411yescharacteristic
659C4×Dic11—21no—
660C4×Dic11—21no—
661C4×Dic11—21no—
662C4×Dic11—21no—
663C4×Dic11—21no—
664C4×Dic11C2×D411yescharacteristic
665C4×Dic11C2×D411yescharacteristic
666C4×Dic11C2411yescharacteristic
667C4×Dic11C2411yescharacteristic
668C2×C11⋊C8C2411yescharacteristic
669C2×C11⋊C8C2411yescharacteristic
670C2×C11⋊C8C2411yescharacteristic
671C2×C11⋊C8C2411yescharacteristic
672#4313—41no—
673C8×D11—41no—
674C8×D11—41no—
675C8×D11—41no—
676#3559—111no—
677#3520—111no—
678#3384—111no—
679#3384—111no—
680#3376—111no—
681#3376—111no—
682#3346—111no—
683#3346—111no—
684#3345—111no—
685#3345—111no—
686#3335—111no—
687#3335—111no—
688#3307—111no—
689#3307—111no—
690#3306—111no—
691#3306—111no—
692#3297—111no—
693#3297—111no—
694#3257—111no—
695#3257D1111yescharacteristic, complemented
696#3246—111no—
697#3244—111no—
698#3244—111no—
699#3236—111no—
700#3119—111no—
701#3119—111no—
702#3109—111no—
703#3084—111no—
704#3084—111no—
705C2×#478—111no—
706#2992—111no—
707C23×C11—21no—
708C23×C11—21no—
709C23×C11—21no—
710C23×C11C22×D411yescharacteristic
711C22×D11—21no—
712C22×D11—42no—
713C22×D11—42no—
714C22×D11—81no—
715C22×D11C22×D411yescharacteristic
716C22×D11C22×D411yescharacteristic
717Q8×C11—21no—
718Q8×C11—21no—
719Q8×C11—81no—
720D4×C11—21no—
721D4×C11—21no—
722D4×C11—21no—
723D4×C11—21no—
724D4×C11—21no—
725D4×C11—21no—
726D4×C11—81no—
727D4×C11—81no—
728D4×C11—81no—
729D4×C11—81no—
730D4×C11—81no—
731C2×C4×C11—21no—
732C2×C4×C11—21no—
733C2×C4×C11—21no—
734C2×C4×C11—21no—
735C2×C4×C11—21no—
736C2×C4×C11—21no—
737C2×C4×C11—21no—
738C2×C4×C11—81no—
739C2×C4×C11—81no—
740C2×C4×C11—81no—
741C2×C4×C11C22×D411yescharacteristic
742C2×C4×C11C22×D411yescharacteristic
743C2×C4×C11C22×D411yescharacteristic
744C2×C4×C11C22×D411yescharacteristic
745C2×C4×C11C22×D411yescharacteristic
746C2×C4×C11C2511yescharacteristic
747C22⋊D11—22no—
748C22⋊D11—41no—
749C22⋊D11—42no—
750C22⋊D11—42no—
751C22⋊D11—42no—
752C22⋊D11—42no—
753C22⋊D11—81no—
754C22⋊D11—81no—
755C22⋊D11—81no—
756C2×Dic11—21no—
757C2×Dic11—21no—
758C2×Dic11—21no—
759C2×Dic11—21no—
760C2×Dic11—21no—
761C2×Dic11—21no—
762C2×Dic11—21no—
763C2×Dic11—42no—
764C2×Dic11—81no—
765C2×Dic11—81no—
766C2×Dic11—81no—
767C2×Dic11—81no—
768C2×Dic11—81no—
769C2×Dic11—81no—
770C2×Dic11C22×D411yescharacteristic
771C2×Dic11C22×D411yescharacteristic
772C2×Dic11C22×D411yescharacteristic
773C2×Dic11C22×D411yescharacteristic
774C2×Dic11C22×D411yescharacteristic
775C2×Dic11C22×D411yescharacteristic
776D44—22no—
777D44—21no—
778D44—42no—
779D442−1+412yes—
780C4×D11—22no—
781C4×D11—21no—
782C4×D11—21no—
783C4×D11—21no—
784C4×D11—21no—
785C4×D11—41no—
786C4×D11—42no—
787C4×D11—42no—
788C4×D11—42no—
789C4×D11—42no—
790C4×D11—81no—
791C4×D11—81no—
792C4×D11—81no—
793C4×D11—81no—
794C4×D11—81no—
795C4×D11—81no—
796C4×D11—81no—
797Dic22—21no—
798Dic22—21no—
799Dic22—41no—
800Dic22—42no—
801Dic22—81no—
802Dic22—81no—
803Dic22—81no—
804Dic22—81no—
805C8×C11—21no—
806C8×C11—21no—
807C8×C11—21no—
808C8×C11—21no—
809C11⋊C8—21no—
810C11⋊C8—21no—
811C11⋊C8—21no—
812C11⋊C8—21no—
813#563—221no—
814#562—221no—
815#556—111no—
816#554—111no—
817#554—111no—
818#554—111no—
819#554—111no—
820#553—111no—
821#553—111no—
822#553—111no—
823#553—111no—
824#552—221no—
825#551—221no—
826#551—221no—
827D4×Q8—111no—
828#548—221no—
829#547—111no—
830#547—111no—
831#547—111no—
832#547—111no—
833#547—221no—
834#547—221no—
835#546—111no—
836#546—111no—
837#544—111no—
838#544—111no—
839#542—111no—
840#542C2×D1111yescharacteristic
841#540—111no—
842#540C2×D1111yescharacteristic, complemented
843#539—221no—
844#539—221no—
845#539—221no—
846#539—221no—
847#539—221no—
848#537—221no—
849#533—111no—
850#532—111no—
851#529—111no—
852C2×#125—111no—
853#525—221no—
854C2×C22⋊Q8—221no—
855#520—111no—
856#520—111no—
857C2×C4×D4—111no—
858#501—111no—
859#501—111no—
860#501—111no—
861#501—111no—
862#498—111no—
863#498—111no—
864#491—111no—
865#491—111no—
866#489—111no—
867#489—111no—
868#488—111no—
869#488—111no—
870#485—111no—
871#485—111no—
872#484—111no—
873#484—111no—
874#483—111no—
875#483—111no—
876#483—111no—
877#483—111no—
878#482—111no—
879#482—111no—
880#481—111no—
881#481—111no—
882#481—111no—
883#481—111no—
884#481—111no—
885#481—111no—
886#480—111no—
887#480—111no—
888#479—111no—
889#479—111no—
890#479—111no—
891#479—111no—
892#479—111no—
893#479C2×D1111yescharacteristic, complemented
894#478—111no—
895#478—111no—
896#478—111no—
897#478—111no—
898#478—111no—
899#478—111no—
900#478—111no—
901#478—111no—
902#478—111no—
903#478C2×D1111yescharacteristic
904#476—111no—
905#476—111no—
906#476—111no—
907#476—111no—
908#476—111no—
909#476—111no—
910#476—111no—
911#476C2×D1111yescharacteristic, complemented
912#475—111no—
913#475—111no—
914#475—111no—
915#475—111no—
916#474—111no—
917#474C2×D1111yescharacteristic, complemented
918#469—111no—
919#469C2×D1111yescharacteristic
920#468—111no—
921#468C2×D1111yescharacteristic, complemented
922#466—111no—
923#466C2×D1111yescharacteristic
924#465—111no—
925#465—111no—
926#465—111no—
927#465—111no—
928#465—111no—
929#465C2×D1111yescharacteristic, complemented
930#463—111no—
931#463—111no—
932#463C2×D1111yescharacteristic
933#463C2×D1111yescharacteristic
934#461—111no—
935#461—111no—
936#460—111no—
937#460C2×D1111yescharacteristic, complemented
938#459—111no—
939#459C2×D1111yescharacteristic
940#449—111no—
941#449—111no—
942#449—111no—
943#449—111no—
944#447—111no—
945#447—111no—
946#446—111no—
947#446—111no—
948#442—111no—
949#442—111no—
950#442—111no—
951#442—111no—
952#442—111no—
953#442—111no—
954#440—111no—
955#440—111no—
956C4×SD16—111no—
957C4×SD16—111no—
958C4×D8—111no—
959C4×D8—111no—
960#435—111no—
961#435—111no—
962#435—111no—
963#435—111no—
964C8×D4—111no—
965C8×D4—111no—
966#433—111no—
967#433—111no—
968#432—111no—
969#428—111no—
970#428—111no—
971C2×#107—111no—
972C2×#106—111no—
973C2×#106—111no—
974C2×#106—111no—
975#424—111no—
976#424C2×D1111yescharacteristic, complemented
977C2×C4⋊C8—111no—
978#417—111no—
979#417—111no—
980#416—111no—
981#416—111no—
982C2×#102—111no—
983C2×#102—111no—
984C22×C11—21no—
985C22×C11—21no—
986C22×C11—21no—
987C22×C11—41no—
988C22×C11—41no—
989C22×C11—41no—
990C22×C11—41no—
991C22×C11—41no—
992C22×C11—41no—
993C22×C11—41no—
994C22×C11—41no—
995C22×C11—41no—
996C22×C11C23×D411yescharacteristic
997C2×D11—21no—
998C2×D11—21no—
999C2×D11—21no—
1000C2×D11—22no—
1001C2×D11—21no—
1002C2×D11—21no—
1003C2×D11—41no—
1004C2×D11—41no—
1005C2×D11—84no—
1006C2×D11#57712yes—
1007C4×C11—21no—
1008C4×C11—21no—
1009C4×C11—21no—
1010C4×C11—21no—
1011C4×C11—21no—
1012C4×C11—41no—
1013C4×C11—41no—
1014C4×C11—41no—
1015C4×C11—41no—
1016C4×C11—41no—
1017C4×C11C2×2−1+411yescharacteristic
1018C4×C11#58511yescharacteristic
1019Dic11—21no—
1020Dic11—21no—
1021Dic11—21no—
1022Dic11—21no—
1023Dic11—21no—
1024Dic11—21no—
1025Dic11—41no—
1026Dic11—41no—
1027Dic11—41no—
1028Dic11—41no—
1029Dic11—41no—
1030Dic11—41no—
1031Dic11—41no—
1032C2×#41—111no—
1033C2×#41—111no—
1034C2×#41—221no—
1035C2×#41—221no—
1036C2×#41—221no—
1037C2×#41—221no—
1038C22×Q8—221no—
1039C22×D4—111no—
1040C23×C4—221no—
1041C2×SD16—111no—
1042C2×SD16—111no—
1043C2×SD16C22×D1111yescharacteristic
1044C2×SD16C22×D1111yescharacteristic
1045C2×D8—111no—
1046C2×D8—111no—
1047C2×D8C22×D1111yescharacteristic
1048C2×D8C22×D1111yescharacteristic
1049C2×M16—111no—
1050C2×M16C22×D1111yescharacteristic
1051C22×C8—111no—
1052C22×C8—111no—
1053C22×C8—111no—
1054C22×C8C22×D1111yescharacteristic
1055C4⋊Q8—111no—
1056C4⋊Q8—111no—
1057C4⋊Q8—111no—
1058C4⋊Q8—111no—
1059C4⋊Q8—111no—
1060C4⋊Q8—111no—
1061C4⋊Q8—221no—
1062C4⋊Q8—221no—
1063C4⋊Q8C22×D1111yescharacteristic
1064#127C22×D1111yescharacteristic
1065#126—21no—
1066#126—111no—
1067#126—111no—
1068#126—221no—
1069#126—221no—
1070#126—221no—
1071#126—221no—
1072#126—221no—
1073#126—221no—
1074#126—221no—
1075#125—111no—
1076#125—111no—
1077#125—111no—
1078#125—111no—
1079#125—111no—
1080#125—111no—
1081#125—221no—
1082#125—221no—
1083#125—221no—
1084#125—221no—
1085#125—221no—
1086#125—221no—
1087#125—221no—
1088#125C22×D1111yescharacteristic
1089#124—21no—
1090#124—111no—
1091#124—111no—
1092#124—221no—
1093#124—221no—
1094#124C22×D1111yescharacteristic
1095#123—21no—
1096#123—21no—
1097#123—21no—
1098#123—111no—
1099#123—111no—
1100#123—221no—
1101#123—221no—
1102#123—221no—
1103#123—221no—
1104#123—221no—
1105#123—221no—
1106#123—221no—
1107#123—221no—
1108#123—221no—
1109#123—221no—
1110#123—221no—
1111#123—221no—
1112#123—221no—
1113#123—221no—
1114#123—221no—
1115#123—221no—
1116#123—221no—
1117C22⋊Q8—21no—
1118C22⋊Q8—111no—
1119C22⋊Q8—111no—
1120C22⋊Q8—111no—
1121C22⋊Q8—111no—
1122C22⋊Q8—221no—
1123C22⋊Q8—221no—
1124C22⋊Q8—221no—
1125C22⋊Q8—221no—
1126C22⋊Q8—221no—
1127C22⋊Q8—221no—
1128C22⋊Q8—221no—
1129C22⋊Q8—221no—
1130C22⋊Q8—221no—
1131C22⋊Q8—221no—
1132C22⋊Q8—221no—
1133C22⋊Q8—221no—
1134C22⋊Q8—221no—
1135C22⋊Q8—221no—
1136C22⋊Q8—221no—
1137C22⋊Q8—221no—
1138C22⋊Q8—221no—
1139C22⋊Q8—221no—
1140C22⋊Q8—221no—
1141C22⋊Q8—221no—
1142C22⋊Q8—221no—
1143C22⋊Q8—221no—
1144C22⋊Q8—221no—
1145C22⋊Q8C22×D1111yescharacteristic
1146#121—21no—
1147#121—21no—
1148#121—111no—
1149#121—111no—
1150#121—111no—
1151#121—111no—
1152#121—111no—
1153#121—111no—
1154#121—221no—
1155#121—221no—
1156#121—221no—
1157#121—221no—
1158#121—221no—
1159#121—221no—
1160#121—221no—
1161#121—221no—
1162#121—221no—
1163#121—221no—
1164#121C22×D1111yescharacteristic
1165#121C22×D1111yescharacteristic
1166#121C22×D1111yescharacteristic
1167#120—221no—
1168#120—221no—
1169C4×Q8—111no—
1170C4×Q8—111no—
1171C4×Q8—111no—
1172C4×Q8—111no—
1173C4×Q8—221no—
1174C4×Q8C22×D1111yescharacteristic
1175C4×D4—111no—
1176C4×D4—111no—
1177C4×D4—111no—
1178C4×D4—111no—
1179C4×D4—111no—
1180C4×D4—111no—
1181C4×D4—111no—
1182C4×D4—111no—
1183C4×D4—111no—
1184C4×D4—111no—
1185C4×D4—111no—
1186C4×D4—111no—
1187C4×D4—221no—
1188C4×D4—221no—
1189C4×D4—221no—
1190C4×D4—221no—
1191C4×D4—221no—
1192C4×D4—221no—
1193C4×D4—221no—
1194C4×D4—221no—
1195C4×D4—221no—
1196C4×D4—221no—
1197C4×D4—221no—
1198C4×D4—221no—
1199C4×D4—221no—
1200C4×D4C22×D1111yescharacteristic
1201C4×D4C22×D1111yescharacteristic
1202C4×D4C22×D1111yescharacteristic
1203#117—111no—
1204#117—111no—
1205#117—111no—
1206#117—221no—
1207#117—221no—
1208#117—221no—
1209#117—221no—
1210#117C22×D1111yescharacteristic
1211C2×C4⋊C4—111no—
1212C2×C4⋊C4—111no—
1213C2×C4⋊C4—111no—
1214C2×C4⋊C4—111no—
1215C2×C4⋊C4—111no—
1216C2×C4⋊C4—111no—
1217C2×C4⋊C4—111no—
1218C2×C4⋊C4—221no—
1219C2×C4⋊C4—221no—
1220C2×C4⋊C4—221no—
1221C2×C4⋊C4—221no—
1222C2×C4⋊C4—221no—
1223C2×C4⋊C4—221no—
1224C2×C4⋊C4—221no—
1225C2×C22⋊C4—221no—
1226C2×C22⋊C4—221no—
1227C2×C22⋊C4—221no—
1228C2×C42—111no—
1229#107—111no—
1230#107—111no—
1231#107—111no—
1232#107—111no—
1233#107—111no—
1234#107—111no—
1235#107C22×D1111yescharacteristic
1236#107C22×D1111yescharacteristic
1237#106—111no—
1238#106—111no—
1239#106—111no—
1240#106—111no—
1241#106—111no—
1242#106—111no—
1243#106—111no—
1244#106—111no—
1245#106—111no—
1246#106—111no—
1247#106—111no—
1248#106—111no—
1249#106—111no—
1250#106—111no—
1251#106C22×D1111yescharacteristic
1252#106C22×D1111yescharacteristic
1253C4⋊C8—111no—
1254C4⋊C8—111no—
1255C4⋊C8—111no—
1256C4⋊C8—111no—
1257C4⋊C8—111no—
1258C4⋊C8—111no—
1259C4⋊C8C22×D1111yescharacteristic
1260C4⋊C8C22×D1111yescharacteristic
1261C4⋊C8C22×D1111yescharacteristic
1262C4⋊C8C22×D1111yescharacteristic
1263#103—111no—
1264#103—111no—
1265#103—111no—
1266#103—111no—
1267#103—111no—
1268#103—111no—
1269#103—111no—
1270#103—111no—
1271#103—111no—
1272#103—111no—
1273#103C22×D1111yescharacteristic
1274#103C22×D1111yescharacteristic
1275#102—111no—
1276#102—111no—
1277#102—111no—
1278#102—111no—
1279#102—111no—
1280#102—111no—
1281#102—111no—
1282#102—111no—
1283#102—111no—
1284#102—111no—
1285#102—111no—
1286#102—111no—
1287#102—111no—
1288#102—111no—
1289#102C22×D1111yescharacteristic
1290#102C22×D1111yescharacteristic
1291#102C22×D1111yescharacteristic
1292#102C22×D1111yescharacteristic
1293#102C22×D1111yescharacteristic
1294#102C22×D1111yescharacteristic
1295C22⋊C8—111no—
1296C22⋊C8—111no—
1297C22⋊C8—111no—
1298C22⋊C8—111no—
1299C22⋊C8—111no—
1300C22⋊C8—111no—
1301#97—111no—
1302#97—111no—
1303#97—111no—
1304#97—111no—
1305C4×C8—111no—
1306C4×C8—111no—
1307C2×C11—41no—
1308C2×C11—81no—
1309C2×C11—81no—
1310C2×C11—81no—
1311C2×C11#348911yescharacteristic
1312C2×C11C2×#57711yescharacteristic
1313C2×C11#358511yescharacteristic
1314D11—22no—
1315D11—41no—
1316D11—42no—
1317C24—221no—
1318#41—222no—
1319#41—222no—
1320#41—441no—
1321#41—441no—
1322#41—882no—
1323#41—882no—
1324#41—882no—
1325#41—882no—
1326C2×Q8—21no—
1327C2×Q8—111no—
1328C2×Q8—111no—
1329C2×Q8—221no—
1330C2×Q8—221no—
1331C2×Q8—221no—
1332C2×Q8—221no—
1333C2×Q8—221no—
1334C2×Q8—882no—
1335C2×Q8C23×D1111yescharacteristic
1336C2×D4—21no—
1337C2×D4—21no—
1338C2×D4—21no—
1339C2×D4—21no—
1340C2×D4—21no—
1341C2×D4—111no—
1342C2×D4—111no—
1343C2×D4—111no—
1344C2×D4—111no—
1345C2×D4—221no—
1346C2×D4—221no—
1347C2×D4—222no—
1348C2×D4—221no—
1349C2×D4—221no—
1350C2×D4—221no—
1351C2×D4—221no—
1352C2×D4—221no—
1353C2×D4—221no—
1354C2×D4—441no—
1355C2×D4C23×D1111yescharacteristic
1356C2×D4C23×D1111yescharacteristic
1357C2×D4C23×D1111yescharacteristic
1358C22×C4—21no—
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—111no—
1362C22×C4—111no—
1363C22×C4—111no—
1364C22×C4—111no—
1365C22×C4—221no—
1366C22×C4—221no—
1367C22×C4—221no—
1368C22×C4—221no—
1369C22×C4—221no—
1370C22×C4—221no—
1371C22×C4—221no—
1372C22×C4—221no—
1373C22×C4—221no—
1374C22×C4—221no—
1375C22×C4—221no—
1376C22×C4—221no—
1377C22×C4—221no—
1378C22×C4—221no—
1379C22×C4—221no—
1380C22×C4—221no—
1381C22×C4—221no—
1382C22×C4—221no—
1383C22×C4—882no—
1384C22×C4C23×D1111yescharacteristic
1385SD16—41no—
1386SD16—41no—
1387SD16—441no—
1388SD16—441no—
1389D8—41no—
1390D8—41no—
1391D8—222no—
1392D8—222no—
1393M16—41no—
1394M16—441no—
1395C2×C8—41no—
1396C2×C8—111no—
1397C2×C8—111no—
1398C2×C8—111no—
1399C2×C8—111no—
1400C2×C8—441no—
1401C2×C8—441no—
1402C2×C8—441no—
1403C2×C8C23×D1111yescharacteristic
1404C2×C8C23×D1111yescharacteristic
1405C2×C8C23×D1111yescharacteristic
1406C2×C8C23×D1111yescharacteristic
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—111no—
1413C4⋊C4—111no—
1414C4⋊C4—111no—
1415C4⋊C4—111no—
1416C4⋊C4—111no—
1417C4⋊C4—111no—
1418C4⋊C4—111no—
1419C4⋊C4—111no—
1420C4⋊C4—111no—
1421C4⋊C4—111no—
1422C4⋊C4—111no—
1423C4⋊C4—111no—
1424C4⋊C4—111no—
1425C4⋊C4—111no—
1426C4⋊C4—221no—
1427C4⋊C4—221no—
1428C4⋊C4—221no—
1429C4⋊C4—221no—
1430C4⋊C4—221no—
1431C4⋊C4—221no—
1432C4⋊C4—221no—
1433C4⋊C4—221no—
1434C4⋊C4—221no—
1435C4⋊C4—221no—
1436C4⋊C4—221no—
1437C4⋊C4—221no—
1438C4⋊C4—221no—
1439C4⋊C4—221no—
1440C4⋊C4—221no—
1441C4⋊C4—221no—
1442C4⋊C4—221no—
1443C4⋊C4—221no—
1444C4⋊C4—221no—
1445C4⋊C4—221no—
1446C4⋊C4—221no—
1447C4⋊C4—221no—
1448C4⋊C4—221no—
1449C4⋊C4—221no—
1450C4⋊C4—221no—
1451C4⋊C4—221no—
1452C4⋊C4—221no—
1453C4⋊C4—221no—
1454C4⋊C4—221no—
1455C4⋊C4—221no—
1456C4⋊C4D4×D1111yescharacteristic
1457C4⋊C4D4×D1111yescharacteristic
1458C4⋊C4C23×D1111yescharacteristic
1459C4⋊C4C23×D1111yescharacteristic
1460C4⋊C4C23×D1111yescharacteristic
1461C4⋊C4C23×D1111yescharacteristic
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—21no—
1469C22⋊C4—21no—
1470C22⋊C4—21no—
1471C22⋊C4—111no—
1472C22⋊C4—111no—
1473C22⋊C4—111no—
1474C22⋊C4—111no—
1475C22⋊C4—111no—
1476C22⋊C4—111no—
1477C22⋊C4—111no—
1478C22⋊C4—111no—
1479C22⋊C4—221no—
1480C22⋊C4—221no—
1481C22⋊C4—221no—
1482C22⋊C4—221no—
1483C22⋊C4—221no—
1484C22⋊C4—221no—
1485C22⋊C4—221no—
1486C22⋊C4—221no—
1487C22⋊C4—221no—
1488C22⋊C4—221no—
1489C22⋊C4—221no—
1490C22⋊C4—221no—
1491C22⋊C4—221no—
1492C22⋊C4—221no—
1493C22⋊C4—221no—
1494C22⋊C4—221no—
1495C22⋊C4—221no—
1496C22⋊C4—221no—
1497C22⋊C4—221no—
1498C22⋊C4—221no—
1499C22⋊C4—221no—
1500C22⋊C4D4×D1111yescharacteristic
1501C22⋊C4D4×D1111yescharacteristic
1502C42—21no—
1503C42—111no—
1504C42—111no—
1505C42—111no—
1506C42—111no—
1507C42—221no—
1508C42—221no—
1509C42—221no—
1510C42—221no—
1511C42—221no—
1512C42C23×D1111yescharacteristic
1513C42C23×D1111yescharacteristic
1514C11#6216611yescharacteristic, complemented, Sylow
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—111no—
1519C23—111no—
1520C23—221no—
1521C23—442no—
1522C23—442no—
1523C23—881no—
1524C23C2×D4×D1111yescharacteristic
1525Q8—21no—
1526Q8—21no—
1527Q8—81no—
1528Q8—221no—
1529Q8—221no—
1530Q8—441no—
1531Q8—442no—
1532Q8—881no—
1533Q8—881no—
1534Q8—881no—
1535Q8—881no—
1536D4—21no—
1537D4—21no—
1538D4—21no—
1539D4—21no—
1540D4—21no—
1541D4—21no—
1542D4—81no—
1543D4—81no—
1544D4—81no—
1545D4—81no—
1546D4—81no—
1547D4—112no—
1548D4—222no—
1549D4—222no—
1550D4—221no—
1551D4—442no—
1552D4—441no—
1553D4—442no—
1554D4—442no—
1555D4—442no—
1556D4—442no—
1557D4—881no—
1558D4—881no—
1559D4—881no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—81no—
1568C2×C4—81no—
1569C2×C4—81no—
1570C2×C4—111no—
1571C2×C4—111no—
1572C2×C4—111no—
1573C2×C4—111no—
1574C2×C4—111no—
1575C2×C4—111no—
1576C2×C4—222no—
1577C2×C4—221no—
1578C2×C4—221no—
1579C2×C4—221no—
1580C2×C4—221no—
1581C2×C4—221no—
1582C2×C4—221no—
1583C2×C4—221no—
1584C2×C4—221no—
1585C2×C4—221no—
1586C2×C4—221no—
1587C2×C4—221no—
1588C2×C4—441no—
1589C2×C4—442no—
1590C2×C4—442no—
1591C2×C4—442no—
1592C2×C4—442no—
1593C2×C4—442no—
1594C2×C4—881no—
1595C2×C4—881no—
1596C2×C4—881no—
1597C2×C4—881no—
1598C2×C4—881no—
1599C2×C4—881no—
1600C2×C4—881no—
1601C2×C4—881no—
1602C2×C4—881no—
1603C2×C4—881no—
1604C2×C4—881no—
1605C2×C4—881no—
1606C2×C4—881no—
1607C2×C4C2×D4×D1111yescharacteristic
1608C2×C4C2×D4×D1111yescharacteristic
1609C2×C4C2×D4×D1111yescharacteristic
1610C2×C4C2×D4×D1111yescharacteristic
1611C2×C4C2×D4×D1111yescharacteristic
1612C2×C4C24×D1111yescharacteristic
1613C8—21no—
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—221no—
1618C8—221no—
1619C8—221no—
1620C8—221no—
1621C22—21no—
1622C22—21no—
1623C22—21no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—112no—
1634C22—221no—
1635C22—221no—
1636C22—221no—
1637C22—222no—
1638C22—221no—
1639C22—221no—
1640C22—441no—
1641C22—441no—
1642C22—884no—
1643C22C22×D4×D1111yescharacteristic
1644C4—21no—
1645C4—21no—
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—221no—
1655C4—221no—
1656C4—221no—
1657C4—221no—
1658C4—221no—
1659C4—221no—
1660C4—441no—
1661C4—441no—
1662C4—441no—
1663C4—441no—
1664C4—441no—
1665C4—441no—
1666C4—441no—
1667C4#1062345511yescharacteristic
1668C4D11×2−1+411yescharacteristic
1669C2—41no—
1670C2—81no—
1671C2—81no—
1672C2—81no—
1673C2—222no—
1674C2—441no—
1675C2—442no—
1676C2#1308229111yescharacteristic
1677C2D11×#57711yescharacteristic
1678C2#1308339111yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3257C2
socleC22×C11C23×D4
hypercenter#3257D11
hypocenterC11#62166
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ #117 ◁ #3257

Complements

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

NH ≅ G/Ntype
1. #13083146C2semidirect
2. #13082663C2semidirect
3. #13081519C2semidirect
4. #13081510C2semidirect
5. #13081447C2semidirect
6. #13081440C2semidirect
7. #13081098C2semidirect
8. #13081096C2semidirect
9. #13081092C2semidirect
10. #13081081C2semidirect
11. #13080970C2semidirect
12. #13080968C2semidirect
13. #13080598C2semidirect
14. #13080587C2semidirect
15. #13080584C2semidirect
16. #13080572C2semidirect
17. #13080473C2semidirect
18. #13080461C2semidirect
19. #13080023C2semidirect
20. #13079930C2semidirect
21. #13079913C2semidirect
22. #13079908C2semidirect
23. #13079820C2semidirect
24. #13078814C2semidirect
25. #13078809C2semidirect
26. #13078706C2semidirect
27. #13078481C2semidirect
28. #13078480C2semidirect
29. D11×#478C2semidirect
30. #13077753C2semidirect
31. C11×#3257C2semidirect
33. C11×#540C22semidirect
36. #10623250C22semidirect
40. #10623220C22semidirect
57. #10623149C22semidirect
59. #10623145C22semidirect
72. #10623074C22semidirect
73. #10623070C22semidirect
76. #10623050C22semidirect
77. C11×#479C22semidirect
79. C11×#476C22semidirect
80. C11×#474C22semidirect
82. C11×#468C22semidirect
84. C11×#465C22semidirect
87. C11×#460C22semidirect
89. C11×#424C22semidirect
94. #10622777C22semidirect
95. #10622775C22semidirect
96. #10622775C22semidirect
97. SD16×Dic11C22semidirect
108. #10622740C22semidirect
109. #10622734C22semidirect
111. #10622724C22semidirect
113. C2×#66881C22semidirect
114. #10622693C22semidirect
115. #10622692C22semidirect
116. #10622688C22semidirect
119. #10622676C22semidirect
122. #10622658C22semidirect
123. #10622656C22semidirect
128. #10622647C22semidirect
129. #10622646C22semidirect
130. #10622635C22semidirect
131. #10622633C22semidirect
132. #10622631C22semidirect
133. C4×#4324C22semidirect
138. #10622613C22semidirect
141. #10622501C22semidirect
143. #10622494C22semidirect
145. #10622489C22semidirect
146. #10622489C22semidirect
150. #10622475C22semidirect
152. D11×#106C22semidirect
153. #10622469C22semidirect
154. #10622468C22semidirect
155. #10622464C22semidirect
156. #10622464C22semidirect
161. #10622453C22semidirect
162. #10622452C22semidirect
167. #10622444C22semidirect
168. #10622442C22semidirect
169. #10622442C22semidirect
170. #10622441C22semidirect
175. #10622412C22semidirect
176. #10622410C22semidirect
177. #10622410C22semidirect
178. #10622404C22semidirect
182. #10622393C22semidirect
186. #10622391C22semidirect
190. #10622390C22semidirect
191. #10622387C22semidirect
198. #10622374C22semidirect
199. #10622374C22semidirect
200. #10622374C22semidirect
201. #10622372C22semidirect
695. #3257D11semidirect
842. #540C2×D11semidirect
893. #479C2×D11semidirect
911. #476C2×D11semidirect
917. #474C2×D11semidirect
921. #468C2×D11semidirect
929. #465C2×D11semidirect
937. #460C2×D11semidirect
976. #424C2×D11semidirect
1514. C11#62166semidirect

Maximal subgroups

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

subgroupindex
#130831462
#130826632
#130815192
#130815102
#130814472
#130814402
#130810982
#130810962
#130810922
#130810812
#130809702
#130809682
#130805982
#130805872
#130805842
#130805722
#130804732
#130804612
#130800232
#130799302
#130799132
#130799082
#130798202
#130788142
#130788092
#130787062
#130784812
#130784802
D11×#4782
#130777532
C11×#32572
#6216611