Finite Group Databasebeta

← #15630848

Subgroups — #15630848

Order 2816.

2172 conjugacy classes of subgroups.

The subgroup lattice has 1870 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082175C211yesmaximal, characteristic, complemented
2D11×#550C211yesmaximal, characteristic, complemented
3#13080952C211yesmaximal, characteristic, complemented
4#13080950C211yesmaximal, characteristic, complemented
5#13080938C211yesmaximal, characteristic, complemented
6#13080936C211yesmaximal, characteristic, complemented
7#13080744C211yesmaximal, characteristic, complemented
8#13080742C211yesmaximal, characteristic, complemented
9#13080741C211yesmaximal, characteristic, complemented
10#13080739C211yesmaximal, characteristic, complemented
11#13080629C211yesmaximal, characteristic, complemented
12#13080627C211yesmaximal, characteristic, complemented
13#13080616C211yesmaximal, characteristic, complemented
14#13080561C211yesmaximal, characteristic, complemented
15#13080559C211yesmaximal, characteristic, complemented
16#13080553C211yesmaximal, characteristic, complemented
17#13080551C211yesmaximal, characteristic, complemented
18#13078989C211yesmaximal, characteristic, complemented
19#13078555C211yesmaximal, characteristic, complemented
20#13078551C211yesmaximal, characteristic, complemented
21#13078419C211yesmaximal, characteristic, complemented
22#13078234C211yesmaximal, characteristic, complemented
23#13078232C211yesmaximal, characteristic, complemented
24#13078091C211yesmaximal, characteristic, complemented
25#13077854C211yesmaximal, characteristic, complemented
26#13077854C211yesmaximal, characteristic, complemented
27#13077438C211yesmaximal, characteristic, complemented
28#13077349C211yesmaximal, characteristic, complemented
29#13077132C211yesmaximal, characteristic, complemented
30#13077131C211yesmaximal, characteristic, complemented
31C11×#3309C211yesmaximal, characteristic, complemented
32C2×#41×D11C2211yescharacteristic
33C2×#41×D11C2211yescharacteristic
34C11×#553C2211yescharacteristic, complemented
35C11×#550C2211yescharacteristic
36#10623365C2211yescharacteristic
37#10623365C2211yescharacteristic
38C2×#66968C2211yescharacteristic
39C2×#66964C2211yescharacteristic
40C2×#66964C2211yescharacteristic
41C2×M16×D11C2211yescharacteristic
42C22×#4313C2211yescharacteristic
43#10623249—21no—
44#10623249C2211yescharacteristic
45D11×#127—21no—
46D11×#127C2211yescharacteristic
47#10623239—21no—
48#10623237—21no—
49#10623225C2211yescharacteristic, complemented
50#10623219C2211yescharacteristic
51#10623190—21no—
52#10623180—21no—
53#10623147C2211yescharacteristic, complemented
54#10623142C2211yescharacteristic, complemented
55#10623141—21no—
56#10623137C2211yescharacteristic
57#10623137C2211yescharacteristic
58D11×#121—21no—
59D11×#121—21no—
60D11×#121C2211yescharacteristic
61D11×#121C2211yescharacteristic
62#10623131—21no—
63#10623130—21no—
64#10623130—21no—
65#10623130C2211yescharacteristic
66#10623130C2211yescharacteristic
67#10623108C2211yescharacteristic
68C4×Q8×D11C2211yescharacteristic
69#10623089C2211yescharacteristic, complemented
70#10623087—21no—
71#10623084—21no—
72#10623084C2211yescharacteristic
73C4×D4×D11—21no—
74C4×D4×D11C2211yescharacteristic
75#10623072C2211yescharacteristic, complemented
76C4×#4341—21no—
77C4×#4341C2211yescharacteristic
78#10623064C2211yescharacteristic, complemented
79D11×#117C2211yescharacteristic
80#10623042C2211yescharacteristic, complemented
81C2×#66945C2211yescharacteristic
82C11×#490C2211yescharacteristic, complemented
83C11×#482C2211yescharacteristic, complemented
84C11×#480C2211yescharacteristic, complemented
85C11×#479C2211yescharacteristic, complemented
86C11×#469C2211yescharacteristic, complemented
87C11×#466C2211yescharacteristic, complemented
88C11×#459C2211yescharacteristic, complemented
89C11×#449C2211yescharacteristic, complemented
90C11×#449C2211yescharacteristic, complemented
91C11×#440C2211yescharacteristic, complemented
92C11×#435C2211yescharacteristic, complemented
93C11×#417C2211yescharacteristic, complemented
94C11×#416C2211yescharacteristic, complemented
95#10622852C2211yescharacteristic, complemented
96#10622852C2211yescharacteristic, complemented
97#10622846C2211yescharacteristic, complemented
98#10622845C2211yescharacteristic, complemented
99#10622785C2211yescharacteristic, complemented
100#10622785C2211yescharacteristic, complemented
101SD16×Dic11C2211yescharacteristic, complemented
102#10622772C2211yescharacteristic, complemented
103#10622771C2211yescharacteristic, complemented
104#10622771C2211yescharacteristic, complemented
105#10622770C2211yescharacteristic, complemented
106#10622763C2211yescharacteristic, complemented
107#10622763C2211yescharacteristic, complemented
108#10622747C2211yescharacteristic, complemented
109#10622746C2211yescharacteristic, complemented
110#10622741C2211yescharacteristic, complemented
111#10622727C2211yescharacteristic, complemented
112#10622726C2211yescharacteristic, complemented
113C8×C22⋊D11C2211yescharacteristic, complemented
114#10622688C2211yescharacteristic, complemented
115#10622684C2211yescharacteristic, complemented
116#10622680C2211yescharacteristic, complemented
117#10622676C2211yescharacteristic, complemented
118#10622655C2211yescharacteristic, complemented
119#10622654C2211yescharacteristic, complemented
120#10622652C2211yescharacteristic, complemented
121#10622651C2211yescharacteristic, complemented
122#10622650C2211yescharacteristic, complemented
123#10622650C2211yescharacteristic, complemented
124#10622648C2211yescharacteristic, complemented
125#10622647C2211yescharacteristic, complemented
126#10622643C2211yescharacteristic, complemented
127#10622635C2211yescharacteristic, complemented
128#10622631C2211yescharacteristic, complemented
129#10622628C2211yescharacteristic, complemented
130#10622624C2211yescharacteristic, complemented
131#10622616C2211yescharacteristic, complemented
132#10622615C2211yescharacteristic, complemented
133#10622580C2211yescharacteristic, complemented
134#10622579C2211yescharacteristic, complemented
135#10622499C2211yescharacteristic, complemented
136#10622498C2211yescharacteristic, complemented
137#10622498C2211yescharacteristic, complemented
138#10622495C2211yescharacteristic, complemented
139#10622494C2211yescharacteristic
140#10622494C2211yescharacteristic
141#10622488C2211yescharacteristic, complemented
142#10622486C2211yescharacteristic, complemented
143#10622477C2211yescharacteristic, complemented
144#10622476C2211yescharacteristic, complemented
145#10622474C2211yescharacteristic
146#10622467C2211yescharacteristic, complemented
147#10622461C2211yescharacteristic, complemented
148#10622450C2211yescharacteristic
149#10622449C2211yescharacteristic, complemented
150#10622442C2211yescharacteristic, complemented
151#10622423C2211yescharacteristic, complemented
152#10622423C2211yescharacteristic, complemented
153#10622417C2211yescharacteristic, complemented
154#10622417C2211yescharacteristic, complemented
155#10622416C2211yescharacteristic, complemented
156#10622416C2211yescharacteristic, complemented
157#10622415C2211yescharacteristic
158#10622415C2211yescharacteristic
159#10622415C2211yescharacteristic
160#10622407C2211yescharacteristic, complemented
161#10622404C2211yescharacteristic, complemented
162#10622403C2211yescharacteristic, complemented
163#10622396C2211yescharacteristic, complemented
164#10622396C2211yescharacteristic, complemented
165#10622395C2211yescharacteristic, complemented
166#10622393C2211yescharacteristic, complemented
167#10622392C2211yescharacteristic, complemented
168#10622392C2211yescharacteristic, complemented
169#10622391C2211yescharacteristic, complemented
170#10622390C2211yescharacteristic, complemented
171#10622388C2211yescharacteristic, complemented
172#10622387C2211yescharacteristic, complemented
173#10622385C2211yescharacteristic, complemented
174#10622385C2211yescharacteristic, complemented
175#10622384C2211yescharacteristic
176#10622384C2211yescharacteristic, complemented
177#10622384C2211yescharacteristic, complemented
178#10622383C2211yescharacteristic
179#10622383C2211yescharacteristic
180#10622383C2211yescharacteristic
181#10622383C2211yescharacteristic
182#10622383C2211yescharacteristic
183#10622383C2211yescharacteristic
184#10622375C2211yescharacteristic, complemented
185#10622375C2211yescharacteristic, complemented
186#10622373C2211yescharacteristic, complemented
187#10622373C2211yescharacteristic, complemented
188#10622373C2211yescharacteristic, complemented
189#10622373C2211yescharacteristic, complemented
190#10622371C2211yescharacteristic, complemented
191#10622350C2211yescharacteristic, complemented
192#10622348C2211yescharacteristic, complemented
193#10622346C2211yescharacteristic, complemented
194#10622346C2211yescharacteristic, complemented
195#10622342C2211yescharacteristic, complemented
196#10622339C2211yescharacteristic
197#10622339C2211yescharacteristic
198(C22⋊D11)⋊C8C2211yescharacteristic, complemented
199#10622329C2211yescharacteristic, complemented
200#10622326C2211yescharacteristic, complemented
201#10622320C2211yescharacteristic
202#10622319C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C2×C11×#41C2311yescharacteristic
205#41×D11—24no—
206#41×D11—24no—
207#41×D11—42no—
208#41×D11—42no—
209C2×#4343C2311yescharacteristic
210C2×#4343C2311yescharacteristic
211C2×Q8×D11C2311yescharacteristic
212C2×#4341—21no—
213C2×#4341—21no—
214C2×#4341—21no—
215C2×#4341C2311yescharacteristic
216C2×#4341C2311yescharacteristic
217C2×#4341C2311yescharacteristic
218C2×D4×D11—21no—
219C2×D4×D11—21no—
220C2×D4×D11—21no—
221C2×D4×D11—21no—
222C2×D4×D11—21no—
223C2×D4×D11—21no—
224C2×D4×D11D411yescharacteristic
225C2×D4×D11C2311yescharacteristic
226C2×D4×D11C2311yescharacteristic
227C2×#4339—21no—
228C2×#4339—21no—
229C2×#4339C2311yescharacteristic
230C2×#4339C2311yescharacteristic
231C22×C4×D11—21no—
232C22×C4×D11—21no—
233C22×C4×D11C2311yescharacteristic
234C22×C4×D11C2311yescharacteristic
235C2×C11×SD16C2311yescharacteristic
236C2×C11×D8C2311yescharacteristic
237C2×C11×D8C2311yescharacteristic
238C2×C11×M16C2311yescharacteristic
239C22×C8×C11C2311yescharacteristic
240C11×#127—21no—
241C11×#127C2311yescharacteristic
242C11×#126—21no—
243C11×#125C2311yescharacteristic
244C11×#123—21no—
245C11×#121—21no—
246C11×#121—21no—
247C11×#121—21no—
248C11×#121C2311yescharacteristic
249C11×#121C2311yescharacteristic
250C11×#121C2311yescharacteristic
251C11×#121C2311yescharacteristic
252C4×Q8×C11C2311yescharacteristic
253C4×D4×C11—21no—
254C4×D4×C11—21no—
255C4×D4×C11C2311yescharacteristic
256C4×D4×C11C2311yescharacteristic
257C11×#117C2311yescharacteristic
258C2×C11×C4⋊C4C2311yescharacteristic
259Q8×Dic11C2311yescharacteristic
260C2×#4326C2311yescharacteristic
261#66993—21no—
262#66993—21no—
263#66993—21no—
264#66993—21no—
265#66993—21no—
266#66993—21no—
267#66993—21no—
268#66993—21no—
269#66993C2311yescharacteristic
270#66993C2311yescharacteristic
271#66992—21no—
272#66992—21no—
273#66992—21no—
274#66992—21no—
275#66992—21no—
276#66992—21no—
277#66992—21no—
278#66991—21no—
279#66991—21no—
280#66991C2311yescharacteristic
281#66991C2311yescharacteristic
282#66991C2311yescharacteristic
283#66991C2311yescharacteristic
284#66990—21no—
285#66990—21no—
286#66989—21no—
287#66988—21no—
288#66988—21no—
289D4×Dic11—21no—
290D4×Dic11—21no—
291D4×Dic11—21no—
292D4×Dic11D411yescharacteristic
293D4×Dic11C2311yescharacteristic
294C2×#4324C2311yescharacteristic
295C2×#4324C2311yescharacteristic
296C2×#4324C2311yescharacteristic
297C2×#4323C2311yescharacteristic
298C2×#4323C2311yescharacteristic
299#66983—21no—
300#66983—21no—
301#66983C2311yescharacteristic
302#66983C2311yescharacteristic
303#66982—21no—
304C4×C22⋊D11—21no—
305C4×C22⋊D11—21no—
306C4×C22⋊D11—21no—
307C4×C22⋊D11—21no—
308C4×C22⋊D11—21no—
309C4×C22⋊D11C2311yescharacteristic
310C4×C22⋊D11C2311yescharacteristic
311C2×(C2×D11)⋊C4—21no—
312#66979C2311yescharacteristic
313C2×C4⋊Dic11C2311yescharacteristic
314#66977—21no—
315#66977C2311yescharacteristic
316#66977C2311yescharacteristic
317C2×C4×Dic11—21no—
318C2×C4×Dic11—21no—
319C2×#4318C2311yescharacteristic
320C22×C11⋊C8C2311yescharacteristic
321#66968—24no—
322#66964—42no—
323#66964—42no—
324M16×D11—42no—
325C2×Dic44C2311yescharacteristic
326C2×#4314C2311yescharacteristic
327C2×#4314C2311yescharacteristic
328C2×#4313—42no—
329C2×#4313C2311yescharacteristic
330C2×#4313C2311yescharacteristic
331C2×#4313C2311yescharacteristic
332C2×#4313C2311yescharacteristic
333C2×#4313C2311yescharacteristic
334C2×#4313C2311yescharacteristic
335C2×C8×D11C2311yescharacteristic
336C2×C8×D11C2311yescharacteristic
337#66951—21no—
338#66950C2311yescharacteristic
339#66950C2311yescharacteristic
340#66949—21no—
341#66949—21no—
342#66949—21no—
343#66948—21no—
344#66948—21no—
345#66948C2311yescharacteristic
346#66948C2311yescharacteristic
347#66947—21no—
348#66946—21no—
349#66946D411yescharacteristic
350#66945—21no—
351#66945—21no—
352#66945—21no—
353#66945C2311yescharacteristic
354#66945C2311yescharacteristic
355#66945C2311yescharacteristic
356#66945C2311yescharacteristic
357#66945C2311yescharacteristic
358C4⋊C4×D11—21no—
359C4⋊C4×D11D411yescharacteristic
360C4⋊C4×D11C2311yescharacteristic
361C4⋊C4×D11C2311yescharacteristic
362C4⋊C4×D11C2311yescharacteristic
363#66943—21no—
364#66942—21no—
365#66942—21no—
366#66941C2311yescharacteristic
367#66941C2311yescharacteristic
368#66940—21no—
369#66940—21no—
370#66940—21no—
371#66940C2311yescharacteristic
372#66940C2311yescharacteristic
373#66938—21no—
374#66938—21no—
375#66937—21no—
376#66937—21no—
377#66937—21no—
378#66937—21no—
379#66937—21no—
380#66937—21no—
381#66937—21no—
382#66936—21no—
383#66936—21no—
384#66936—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)⋊C4D411yescharacteristic
391(C22⋊D11)⋊C4D411yescharacteristic
392C22⋊C4×D11—21no—
393C22⋊C4×D11—21no—
394C22⋊C4×D11—21no—
395C22⋊C4×D11D411yescharacteristic
396C22⋊C4×D11D411yescharacteristic
397#66932—21no—
398#66932—21no—
399#66932—21no—
400#66931—21no—
401#66930—21no—
402#66930—21no—
403#66930—21no—
404#66930—21no—
405#66929—21no—
406#66927—21no—
407#66927C2311yescharacteristic
408C4×D44—21no—
409C4×D44C2311yescharacteristic
410#66925—21no—
411C42×D11—21no—
412C42×D11—21no—
413C42×D11C2311yescharacteristic
414#66923C2311yescharacteristic
415C4×Dic22—21no—
416C4×Dic22—21no—
417C4×Dic22C2311yescharacteristic
418C4×Dic22C2311yescharacteristic
419C11×#107C2311yescharacteristic
420C11×#107C2311yescharacteristic
421C11×#106C2311yescharacteristic
422C11×C4⋊C8C2311yescharacteristic
423C11×#103C2311yescharacteristic
424C11×#103C2311yescharacteristic
425C11×#103C2311yescharacteristic
426C11×#102C2311yescharacteristic
427C11×#102C2311yescharacteristic
428C11×#102C2311yescharacteristic
429C11×#102C2311yescharacteristic
430C11×#102C2311yescharacteristic
431C11×#102C2311yescharacteristic
432C11×#102C2311yescharacteristic
433C11×C22⋊C8C2311yescharacteristic
434C11×C22⋊C8C2311yescharacteristic
435C11×#97C2311yescharacteristic
436#66899C2311yescharacteristic
437#66899C2311yescharacteristic
438#66899C2311yescharacteristic
439#66896C2311yescharacteristic
440#66896C2311yescharacteristic
441#66896C2311yescharacteristic
442#66896C2311yescharacteristic
443#66896C2311yescharacteristic
444#66896C2311yescharacteristic
445#66896C2311yescharacteristic
446C22⋊(C11⋊C8)C2311yescharacteristic
447C22⋊(C11⋊C8)C2311yescharacteristic
448#66885C2311yescharacteristic
449#66885C2311yescharacteristic
450#66885C2311yescharacteristic
451#66885C2311yescharacteristic
452#66885C2311yescharacteristic
453#66885C2311yescharacteristic
454(C2×D11)⋊C8C2311yescharacteristic
455(C2×D11)⋊C8C2311yescharacteristic
456(C2×D11)⋊C8C2311yescharacteristic
457(C2×D11)⋊C8C2311yescharacteristic
458#66882C2311yescharacteristic
459#66881C2311yescharacteristic
460#66881C2311yescharacteristic
461#66880C2311yescharacteristic
462#66880C2311yescharacteristic
463#66880C2311yescharacteristic
464#66880C2311yescharacteristic
465Dic11⋊C8C2311yescharacteristic
466Dic11⋊C8C2311yescharacteristic
467C8×Dic11C2311yescharacteristic
468C8×Dic11C2311yescharacteristic
469#66874C2311yescharacteristic
470#66874C2311yescharacteristic
471#66874C2311yescharacteristic
472#66874C2311yescharacteristic
473#66873C2311yescharacteristic
474#66873C2311yescharacteristic
475#66873C2311yescharacteristic
476#66873C2311yescharacteristic
477#66873C2311yescharacteristic
478#66873C2311yescharacteristic
479#66872C2311yescharacteristic
480#66872C2311yescharacteristic
481#66872C2311yescharacteristic
482#66871C2311yescharacteristic
483#66871C2311yescharacteristic
484#66871C2311yescharacteristic
485C4⋊(C11⋊C8)C2311yescharacteristic
486#66867C2311yescharacteristic
487#61160—111nomaximal, Sylow
488C23×D11—21no—
489C23×D11—21no—
490C23×D11C2×D411yescharacteristic
491C23×D11C2×D411yescharacteristic
492C11×#41—22no—
493C11×#41—22no—
494C11×#41—41no—
495C11×#41—41no—
496C2×Q8×C11C2411yescharacteristic
497C2×D4×C11—21no—
498C2×D4×C11—21no—
499C2×D4×C11—21no—
500C2×D4×C11—21no—
501C2×D4×C11—21no—
502C2×D4×C11—21no—
503C2×D4×C11—21no—
504C2×D4×C11—21no—
505C2×D4×C11C2×D411yescharacteristic
506C2×D4×C11C2411yescharacteristic
507C2×D4×C11C2411yescharacteristic
508C2×D4×C11C2411yescharacteristic
509C22×C4×C11—21no—
510C22×C4×C11—21no—
511C22×C4×C11—21no—
512C22×C4×C11—21no—
513C22×C4×C11C2411yescharacteristic
514C22×C4×C11C2411yescharacteristic
515C2×C22⋊D11—21no—
516C2×C22⋊D11—21no—
517C2×C22⋊D11—21no—
518C2×C22⋊D11—21no—
519C2×C22⋊D11—21no—
520C2×C22⋊D11—21no—
521C2×C22⋊D11—21no—
522C2×C22⋊D11—21no—
523C2×C22⋊D11—21no—
524C2×C22⋊D11—21no—
525C2×C22⋊D11—21no—
526C2×C22⋊D11—21no—
527C2×C22⋊D11—21no—
528C2×C22⋊D11—21no—
529C2×C22⋊D11—21no—
530C2×C22⋊D11—21no—
531C2×C22⋊D11—21no—
532C2×C22⋊D11C2×D411yescharacteristic
533C2×C22⋊D11C2×D411yescharacteristic
534C22×Dic11—21no—
535C22×Dic11—21no—
536C22×Dic11—21no—
537C22×Dic11—21no—
538C22×Dic11—21no—
539C22×Dic11C2×D411yescharacteristic
540C22×Dic11C2×D411yescharacteristic
541#4343—22no—
542#4343—22no—
543#4343—41no—
544#4343—41no—
545Q8×D11—22no—
546Q8×D11#4114yescomplemented
547#4341—22no—
548#4341—22no—
549#4341—22no—
550#4341—22no—
551#4341—41no—
552#4341—41no—
553#4341—44no—
554#4341—44no—
555#4341—44no—
556D4×D11—22no—
557D4×D11—22no—
558D4×D11—22no—
559D4×D11—22no—
560D4×D11—44no—
561D4×D11—44no—
562D4×D11—42no—
563D4×D11—44no—
564D4×D11—82no—
565D4×D11—82no—
566D4×D11—82no—
567#4339—22no—
568#4339—22no—
569#4339—41no—
570#4339—41no—
571#4339—44no—
572#4339—44no—
573C2×D44—21no—
574C2×D44—21no—
575C2×D44—21no—
576C2×D44—21no—
577C2×D44—21no—
578C2×D44—21no—
579C2×D44C2×D411yescharacteristic
580C2×D44C2411yescharacteristic
581C2×D44C2411yescharacteristic
582C2×C4×D11—22no—
583C2×C4×D11—22no—
584C2×C4×D11—22no—
585C2×C4×D11—22no—
586C2×C4×D11—21no—
587C2×C4×D11—21no—
588C2×C4×D11—21no—
589C2×C4×D11—21no—
590C2×C4×D11—21no—
591C2×C4×D11—21no—
592C2×C4×D11—21no—
593C2×C4×D11—21no—
594C2×C4×D11—44no—
595C2×C4×D11—44no—
596C2×C4×D11C2×D411yescharacteristic
597C2×C4×D11C2×D411yescharacteristic
598C2×C4×D11C2×D411yescharacteristic
599C2×C4×D11C2×D411yescharacteristic
600C2×C4×D11C2×D411yescharacteristic
601C2×C4×D11C2×D411yescharacteristic
602C2×C4×D11C2411yescharacteristic
603C2×C4×D11C2411yescharacteristic
604C2×C4×D11C2411yescharacteristic
605C2×Dic22—21no—
606C2×Dic22—21no—
607C2×Dic22—21no—
608C2×Dic22C2411yescharacteristic
609C2×Dic22C2411yescharacteristic
610C11×SD16—22no—
611C11×D8—41no—
612C11×D8—41no—
613C11×M16—41no—
614C2×C8×C11—41no—
615C2×C8×C11C2411yescharacteristic
616C2×C8×C11C2411yescharacteristic
617C2×C8×C11C2411yescharacteristic
618C2×C8×C11C2411yescharacteristic
619C11×C4⋊C4—21no—
620C11×C4⋊C4—21no—
621C11×C4⋊C4—21no—
622C11×C4⋊C4—21no—
623C11×C4⋊C4C2×D411yescharacteristic
624C11×C4⋊C4C2411yescharacteristic
625C11×C4⋊C4C2411yescharacteristic
626C11×C4⋊C4C2411yescharacteristic
627C11×C4⋊C4C2411yescharacteristic
628C11×C22⋊C4—21no—
629C11×C22⋊C4—21no—
630C11×C22⋊C4—21no—
631C11×C22⋊C4—21no—
632C11×C22⋊C4—21no—
633C11×C22⋊C4—21no—
634C11×C22⋊C4C2×D411yescharacteristic
635C11×C22⋊C4C2×D411yescharacteristic
636C42×C11—21no—
637C42×C11—21no—
638C42×C11C2411yescharacteristic
639C22⋊Dic11—21no—
640C22⋊Dic11—21no—
641C22⋊Dic11—21no—
642C22⋊Dic11—21no—
643C22⋊Dic11—21no—
644C22⋊Dic11—21no—
645C22⋊Dic11—21no—
646C22⋊Dic11—21no—
647C22⋊Dic11C2×D411yescharacteristic
648C22⋊Dic11C2×D411yescharacteristic
649#4326—22no—
650#4324—22no—
651#4324—41no—
652#4324—41no—
653#4323—41no—
654#4323—41no—
655(C2×D11)⋊C4—21no—
656(C2×D11)⋊C4—21no—
657(C2×D11)⋊C4—21no—
658(C2×D11)⋊C4—21no—
659(C2×D11)⋊C4—21no—
660(C2×D11)⋊C4—21no—
661(C2×D11)⋊C4—21no—
662(C2×D11)⋊C4—21no—
663(C2×D11)⋊C4—21no—
664(C2×D11)⋊C4—21no—
665(C2×D11)⋊C4—21no—
666(C2×D11)⋊C4C2×D411yescharacteristic
667(C2×D11)⋊C4C2×D411yescharacteristic
668(C2×D11)⋊C4C2×D411yescharacteristic
669(C2×D11)⋊C4C2×D411yescharacteristic
670C4⋊Dic11—21no—
671C4⋊Dic11—21no—
672C4⋊Dic11—21no—
673C4⋊Dic11—21no—
674C4⋊Dic11C2×D411yescharacteristic
675C4⋊Dic11C2411yescharacteristic
676C4⋊Dic11C2411yescharacteristic
677C4⋊Dic11C2411yescharacteristic
678C4⋊Dic11C2411yescharacteristic
679Dic11⋊C4—21no—
680Dic11⋊C4—21no—
681Dic11⋊C4—21no—
682Dic11⋊C4—21no—
683Dic11⋊C4—21no—
684Dic11⋊C4—21no—
685Dic11⋊C4—21no—
686Dic11⋊C4—21no—
687Dic11⋊C4—21no—
688Dic11⋊C4—21no—
689Dic11⋊C4—21no—
690Dic11⋊C4—21no—
691Dic11⋊C4—21no—
692Dic11⋊C4C2×D411yescharacteristic
693Dic11⋊C4C2×D411yescharacteristic
694C4×Dic11—21no—
695C4×Dic11—21no—
696C4×Dic11—21no—
697C4×Dic11—21no—
698C4×Dic11—21no—
699C4×Dic11—21no—
700C4×Dic11—21no—
701C4×Dic11—21no—
702C4×Dic11—21no—
703C4×Dic11—21no—
704C4×Dic11—21no—
705C4×Dic11C2×D411yescharacteristic
706C4×Dic11C2×D411yescharacteristic
707C4×Dic11C2411yescharacteristic
708#4318—41no—
709C2×C11⋊C8—41no—
710C2×C11⋊C8C2411yescharacteristic
711C2×C11⋊C8C2411yescharacteristic
712C2×C11⋊C8C2411yescharacteristic
713C2×C11⋊C8C2411yescharacteristic
714Dic44—22no—
715#4314—41no—
716#4314—41no—
717#4313—22no—
718#4313—22no—
719#4313—22no—
720#4313—22no—
721#4313—41no—
722#4313—41no—
723C8×D11—41no—
724C8×D11—41no—
725#3475—111no—
726C2×#550—111no—
727#3333—111no—
728#3333—111no—
729#3332—111no—
730#3332—111no—
731#3317—111no—
732#3317—111no—
733#3317—111no—
734#3317—111no—
735#3309—111no—
736#3309—111no—
737#3309—111no—
738#3309D1111yescharacteristic, complemented
739#3305—111no—
740#3305—111no—
741#3304—111no—
742#3304—111no—
743#3138—111no—
744#3094—111no—
745#3094—111no—
746#3078—111no—
747#3055—111no—
748#3055—111no—
749#3038—111no—
750#3005—111no—
751#3005—111no—
752C4×#137—111no—
753D4×M16—111no—
754#2896—111no—
755#2896—111no—
756C23×C11—21no—
757C23×C11—21no—
758C23×C11—21no—
759C23×C11C22×D411yescharacteristic
760C23×C11C22×D411yescharacteristic
761C22×D11—22no—
762C22×D11—22no—
763C22×D11—21no—
764C22×D11—21no—
765C22×D11—41no—
766C22×D11—41no—
767C22×D11—41no—
768C22×D11—41no—
769C22×D11—42no—
770C22×D11—42no—
771C22×D11—42no—
772C22×D11—42no—
773C22×D11—42no—
774C22×D11—42no—
775C22×D11C22×D411yescharacteristic
776C22×D11C22×D411yescharacteristic
777C22×D11C22×D411yescharacteristic
778Q8×C11—21no—
779Q8×C11C2×#4112yes—
780D4×C11—21no—
781D4×C11—21no—
782D4×C11—21no—
783D4×C11—21no—
784D4×C11—21no—
785D4×C11—21no—
786D4×C11—41no—
787D4×C11—42no—
788D4×C11—42no—
789D4×C11—42no—
790D4×C11—42no—
791D4×C11—81no—
792D4×C11—81no—
793D4×C11—81no—
794D4×C11—81no—
795C2×C4×C11—21no—
796C2×C4×C11—21no—
797C2×C4×C11—21no—
798C2×C4×C11—21no—
799C2×C4×C11—21no—
800C2×C4×C11—21no—
801C2×C4×C11—21no—
802C2×C4×C11—21no—
803C2×C4×C11—21no—
804C2×C4×C11—42no—
805C2×C4×C11—42no—
806C2×C4×C11—81no—
807C2×C4×C11—81no—
808C2×C4×C11C22×D411yescharacteristic
809C2×C4×C11C22×D411yescharacteristic
810C2×C4×C11C22×D411yescharacteristic
811C2×C4×C11C22×D411yescharacteristic
812C2×C4×C11C2511yescharacteristic
813C22⋊D11—22no—
814C22⋊D11—22no—
815C22⋊D11—42no—
816C22⋊D11—42no—
817C22⋊D11—42no—
818C22⋊D11—42no—
819C22⋊D11—42no—
820C22⋊D11—42no—
821C22⋊D11—42no—
822C22⋊D11—42no—
823C22⋊D11—42no—
824C22⋊D11—42no—
825C22⋊D11—81no—
826C22⋊D11—81no—
827C22⋊D11—81no—
828C22⋊D11—81no—
829C22⋊D11—81no—
830C22⋊D11—81no—
831C22⋊D11—81no—
832C2×Dic11—21no—
833C2×Dic11—22no—
834C2×Dic11—22no—
835C2×Dic11—21no—
836C2×Dic11—21no—
837C2×Dic11—21no—
838C2×Dic11—21no—
839C2×Dic11—21no—
840C2×Dic11—42no—
841C2×Dic11—42no—
842C2×Dic11—42no—
843C2×Dic11—42no—
844C2×Dic11—42no—
845C2×Dic11C22×D411yescharacteristic
846C2×Dic11C22×D411yescharacteristic
847C2×Dic11C22×D411yescharacteristic
848C2×Dic11C22×D411yescharacteristic
849C2×Dic11C22×D411yescharacteristic
850D44—21no—
851D44—21no—
852D44—21no—
853D44—21no—
854D44—41no—
855D44—42no—
856D44—42no—
857D44—42no—
858D44—81no—
859D44—81no—
860D44—81no—
861C4×D11—22no—
862C4×D11—22no—
863C4×D11—24no—
864C4×D11—21no—
865C4×D11—21no—
866C4×D11—21no—
867C4×D11—21no—
868C4×D11—22no—
869C4×D11—22no—
870C4×D11—22no—
871C4×D11—41no—
872C4×D11—42no—
873C4×D11—42no—
874C4×D11—42no—
875C4×D11—42no—
876C4×D11—42no—
877C4×D11—42no—
878C4×D11—81no—
879C4×D11C2×#4112yes—
880C4×D11H(5,𝔽2)12yes—
881Dic22—21no—
882Dic22—24no—
883Dic22—21no—
884Dic22—21no—
885Dic22—42no—
886Dic22—81no—
887Dic22C2×#4112yes—
888C8×C11—21no—
889C8×C11—21no—
890C8×C11—21no—
891C8×C11—21no—
892C11⋊C8—21no—
893C11⋊C8—21no—
894C11⋊C8—21no—
895C11⋊C8—21no—
896C22×#41—111no—
897C22×#41—111no—
898C2×#137—111no—
899C2×AGL(1,ℤ/8)—111no—
900C2×AGL(1,ℤ/8)—111no—
901C22×M16—111no—
902C22×M16—111no—
903#556—111no—
904#555—111no—
905#554—111no—
906#553—111no—
907#553C2×D1111yescharacteristic, complemented
908#552—111no—
909#552—111no—
910#552—221no—
911#551—221no—
912#551—221no—
913#550—111no—
914#550—111no—
915#550—111no—
916#550—111no—
917#550—111no—
918#550—111no—
919#550—111no—
920#550—221no—
921#550—221no—
922#550—221no—
923#550—221no—
924#550C2×D1111yescharacteristic
925#547—111no—
926#546—221no—
927#533—111no—
928C2×#127—111no—
929C2×#127—221no—
930#529—221no—
931#529—221no—
932#529—221no—
933#525—111no—
934#525—111no—
935C2×#121—111no—
936C2×#121—111no—
937C2×#121—221no—
938C2×#121—221no—
939C4×#41—111no—
940C4×#41—221no—
941C2×C4×Q8—111no—
942C2×C4×D4—111no—
943C2×C4×D4—221no—
944C2×#117—111no—
945C2×#117—111no—
946#490—111no—
947#490—111no—
948#490—111no—
949#490C2×D1111yescharacteristic, complemented
950#486—111no—
951#486—111no—
952#486—111no—
953#486—111no—
954#482—111no—
955#482—111no—
956#482—111no—
957#482—111no—
958#482—111no—
959#482—111no—
960#482—111no—
961#482C2×D1111yescharacteristic, complemented
962#481—111no—
963#481—111no—
964#481—111no—
965#481—111no—
966#480—111no—
967#480—111no—
968#480—111no—
969#480C2×D1111yescharacteristic, complemented
970#479—111no—
971#479—111no—
972#479—111no—
973#479C2×D1111yescharacteristic, complemented
974#477—111no—
975#477—111no—
976#475—111no—
977#475—111no—
978#469—111no—
979#469—111no—
980#469—111no—
981#469C2×D1111yescharacteristic, complemented
982#468—111no—
983#468—111no—
984#468—111no—
985#468—111no—
986#466—111no—
987#466—111no—
988#466—111no—
989#466C2×D1111yescharacteristic, complemented
990#465—111no—
991#465—111no—
992#465—111no—
993#465—111no—
994#460—111no—
995#460—111no—
996#460—111no—
997#460—111no—
998#459—111no—
999#459—111no—
1000#459—111no—
1001#459C2×D1111yescharacteristic, complemented
1002#452—111no—
1003#452—111no—
1004#452—111no—
1005#452—111no—
1006#452—111no—
1007#452—111no—
1008#452—111no—
1009#452—111no—
1010#449—111no—
1011#449—111no—
1012#449—111no—
1013#449—111no—
1014#449—111no—
1015#449—111no—
1016#449C2×D1111yescharacteristic, complemented
1017#449C2×D1111yescharacteristic, complemented
1018#441—111no—
1019#441—111no—
1020#440—111no—
1021#440C2×D1111yescharacteristic, complemented
1022C4×Q16—111no—
1023C4×Q16—111no—
1024C4×SD16—111no—
1025C4×SD16—111no—
1026#436—111no—
1027#436—111no—
1028#435—111no—
1029#435—111no—
1030#435—111no—
1031#435C2×D1111yescharacteristic, complemented
1032C8×D4—111no—
1033C8×D4—111no—
1034#428—111no—
1035#428—111no—
1036#428—111no—
1037#423—111no—
1038#419—111no—
1039#419—111no—
1040#419—111no—
1041#418—111no—
1042#418—111no—
1043#418—111no—
1044#418—111no—
1045#418—111no—
1046#418—111no—
1047#417—111no—
1048#417—111no—
1049#417—111no—
1050#417—111no—
1051#417—111no—
1052#417—111no—
1053#417—111no—
1054#417—111no—
1055#417C2×D1111yescharacteristic, complemented
1056#416—111no—
1057#416—111no—
1058#416—111no—
1059#416—111no—
1060#416—111no—
1061#416—111no—
1062#416—111no—
1063#416C2×D1111yescharacteristic, complemented
1064#407—111no—
1065#407—111no—
1066C4×M16—111no—
1067C22×C11—21no—
1068C22×C11—21no—
1069C22×C11—21no—
1070C22×C11—21no—
1071C22×C11—21no—
1072C22×C11—21no—
1073C22×C11—41no—
1074C22×C11—41no—
1075C22×C11—41no—
1076C22×C11—41no—
1077C22×C11—41no—
1078C22×C11—41no—
1079C22×C11—41no—
1080C22×C11—41no—
1081C22×C11—41no—
1082C22×C11C23×D411yescharacteristic
1083C2×D11—21no—
1084C2×D11—21no—
1085C2×D11—21no—
1086C2×D11—21no—
1087C2×D11—21no—
1088C2×D11—21no—
1089C2×D11—21no—
1090C2×D11—21no—
1091C2×D11—41no—
1092C2×D11—41no—
1093C2×D11—41no—
1094C2×D11—41no—
1095C2×D11—41no—
1096C2×D11—41no—
1097C2×D11—82no—
1098C2×D11—82no—
1099C2×D11—84no—
1100C2×D11—84no—
1101C2×D11#54612yes—
1102C4×C11—21no—
1103C4×C11—21no—
1104C4×C11—21no—
1105C4×C11—22no—
1106C4×C11—21no—
1107C4×C11—41no—
1108C4×C11—41no—
1109C4×C11—41no—
1110C4×C11—41no—
1111C4×C11C22×#4111yescharacteristic
1112C4×C11C2×H(5,𝔽2)11yescharacteristic
1113Dic11—21no—
1114Dic11—22no—
1115Dic11—21no—
1116Dic11—21no—
1117Dic11—41no—
1118Dic11—41no—
1119Dic11—41no—
1120Dic11—41no—
1121Dic11—41no—
1122Dic11#54612yes—
1123Dic11#57512yes—
1124C2×#41—111no—
1125C2×#41—111no—
1126C2×#41—111no—
1127C2×#41—111no—
1128C2×#41—111no—
1129C2×#41—111no—
1130C2×#41—111no—
1131C2×#41—221no—
1132C2×#41—221no—
1133C2×#41—221no—
1134C2×#41—221no—
1135C2×#41—221no—
1136C2×#41—224no—
1137C2×#41—224no—
1138C2×#41—442no—
1139C2×#41—442no—
1140C2×#41C22×D1111yescharacteristic
1141C2×#41C22×D1111yescharacteristic
1142C22×Q8—111no—
1143C22×D4—111no—
1144C22×D4—111no—
1145C22×D4—111no—
1146C22×D4—221no—
1147C22×D4—221no—
1148C22×D4—221no—
1149C22×D4—221no—
1150C22×D4—221no—
1151C22×D4—221no—
1152C23×C4—111no—
1153C23×C4—111no—
1154C23×C4—221no—
1155C23×C4—221no—
1156#137—224no—
1157AGL(1,ℤ/8)—442no—
1158AGL(1,ℤ/8)—442no—
1159C2×Q16—111no—
1160C2×Q16—111no—
1161C2×SD16—111no—
1162C2×SD16—111no—
1163C2×SD16—111no—
1164C2×SD16—111no—
1165C2×SD16—111no—
1166C2×SD16C22×D1111yescharacteristic
1167C2×D8—111no—
1168C2×D8—111no—
1169C2×D8C22×D1111yescharacteristic
1170C2×D8C22×D1111yescharacteristic
1171C2×M16—111no—
1172C2×M16—111no—
1173C2×M16—111no—
1174C2×M16—111no—
1175C2×M16—111no—
1176C2×M16—111no—
1177C2×M16—111no—
1178C2×M16—442no—
1179C2×M16—442no—
1180C2×M16C22×D1111yescharacteristic
1181C22×C8—111no—
1182C22×C8—111no—
1183C22×C8—111no—
1184C22×C8C22×D1111yescharacteristic
1185C4⋊Q8—111no—
1186C4⋊Q8—111no—
1187#127—21no—
1188#127—111no—
1189#127—111no—
1190#127—111no—
1191#127—221no—
1192#127—221no—
1193#127—221no—
1194#127—221no—
1195#127—221no—
1196#127—221no—
1197#127—221no—
1198#127—221no—
1199#127—221no—
1200#127C22×D1111yescharacteristic
1201#126—21no—
1202#126—221no—
1203#126—221no—
1204#126—221no—
1205#126—221no—
1206#126—221no—
1207#125—111no—
1208#125—221no—
1209#125—221no—
1210#125—221no—
1211#125C22×D1111yescharacteristic
1212#124—221no—
1213#124—221no—
1214#124—221no—
1215#123—21no—
1216#123—221no—
1217#123—221no—
1218#123—221no—
1219#123—221no—
1220#123—221no—
1221#123—221no—
1222#123—221no—
1223C22⋊Q8—111no—
1224C22⋊Q8—111no—
1225C22⋊Q8—111no—
1226C22⋊Q8—111no—
1227C22⋊Q8—221no—
1228C22⋊Q8—221no—
1229C22⋊Q8—221no—
1230C22⋊Q8—221no—
1231C22⋊Q8—221no—
1232#121—21no—
1233#121—21no—
1234#121—21no—
1235#121—111no—
1236#121—111no—
1237#121—111no—
1238#121—111no—
1239#121—111no—
1240#121—111no—
1241#121—111no—
1242#121—111no—
1243#121—221no—
1244#121—221no—
1245#121—221no—
1246#121—221no—
1247#121—221no—
1248#121—221no—
1249#121—221no—
1250#121—221no—
1251#121—221no—
1252#121—221no—
1253#121—221no—
1254#121—221no—
1255#121—221no—
1256#121—221no—
1257#121—221no—
1258#121—221no—
1259#121—221no—
1260#121—221no—
1261#121—221no—
1262#121—221no—
1263#121C22×D1111yescharacteristic
1264#121C22×D1111yescharacteristic
1265#121C22×D1111yescharacteristic
1266#121C22×D1111yescharacteristic
1267#120—221no—
1268#120—221no—
1269C4×Q8—111no—
1270C4×Q8—111no—
1271C4×Q8—111no—
1272C4×Q8—111no—
1273C4×Q8—111no—
1274C4×Q8—221no—
1275C4×Q8—221no—
1276C4×Q8—221no—
1277C4×Q8—221no—
1278C4×Q8—221no—
1279C4×Q8C22×D1111yescharacteristic
1280C4×D4—21no—
1281C4×D4—21no—
1282C4×D4—111no—
1283C4×D4—111no—
1284C4×D4—111no—
1285C4×D4—111no—
1286C4×D4—111no—
1287C4×D4—111no—
1288C4×D4—111no—
1289C4×D4—111no—
1290C4×D4—221no—
1291C4×D4—221no—
1292C4×D4—221no—
1293C4×D4—221no—
1294C4×D4—221no—
1295C4×D4—221no—
1296C4×D4—221no—
1297C4×D4—221no—
1298C4×D4—221no—
1299C4×D4—221no—
1300C4×D4—221no—
1301C4×D4—221no—
1302C4×D4—221no—
1303C4×D4—221no—
1304C4×D4—221no—
1305C4×D4C22×D1111yescharacteristic
1306C4×D4C22×D1111yescharacteristic
1307#117—111no—
1308#117—111no—
1309#117—111no—
1310#117—111no—
1311#117—111no—
1312#117—111no—
1313#117—221no—
1314#117—221no—
1315#117—221no—
1316#117—221no—
1317#117—221no—
1318#117—221no—
1319#117—221no—
1320#117—221no—
1321#117C22×D1111yescharacteristic
1322C2×C4⋊C4—111no—
1323C2×C4⋊C4—111no—
1324C2×C4⋊C4—111no—
1325C2×C4⋊C4—111no—
1326C2×C4⋊C4—111no—
1327C2×C4⋊C4—221no—
1328C2×C4⋊C4C22×D1111yescharacteristic
1329C2×C22⋊C4—111no—
1330C2×C22⋊C4—111no—
1331C2×C22⋊C4—221no—
1332C2×C22⋊C4—221no—
1333C2×C22⋊C4—221no—
1334C2×C22⋊C4—221no—
1335C2×C42—111no—
1336C2×C42—221no—
1337C2×C42—221no—
1338C2×C42—221no—
1339C2×C42—221no—
1340#107—111no—
1341#107—111no—
1342#107—111no—
1343#107—111no—
1344#107C22×D1111yescharacteristic
1345#107C22×D1111yescharacteristic
1346#106—111no—
1347#106—111no—
1348#106—111no—
1349#106—111no—
1350#106—111no—
1351#106C22×D1111yescharacteristic
1352C4⋊C8—111no—
1353C4⋊C8—111no—
1354C4⋊C8—111no—
1355C4⋊C8C22×D1111yescharacteristic
1356#103—111no—
1357#103—111no—
1358#103—111no—
1359#103—111no—
1360#103—111no—
1361#103—111no—
1362#103—111no—
1363#103—111no—
1364#103—111no—
1365#103—111no—
1366#103—111no—
1367#103C22×D1111yescharacteristic
1368#103C22×D1111yescharacteristic
1369#103C22×D1111yescharacteristic
1370#102—111no—
1371#102—111no—
1372#102—111no—
1373#102—111no—
1374#102—111no—
1375#102—111no—
1376#102—111no—
1377#102—111no—
1378#102—111no—
1379#102—111no—
1380#102—111no—
1381#102—111no—
1382#102—111no—
1383#102—111no—
1384#102—111no—
1385#102—111no—
1386#102—111no—
1387#102—111no—
1388#102—111no—
1389#102C22×D1111yescharacteristic
1390#102C22×D1111yescharacteristic
1391#102C22×D1111yescharacteristic
1392#102C22×D1111yescharacteristic
1393#102C22×D1111yescharacteristic
1394#102C22×D1111yescharacteristic
1395#102C22×D1111yescharacteristic
1396C22⋊C8—111no—
1397C22⋊C8—111no—
1398C22⋊C8—111no—
1399C22⋊C8—111no—
1400C22⋊C8—111no—
1401C22⋊C8—111no—
1402C22⋊C8C22×D1111yescharacteristic
1403C22⋊C8C22×D1111yescharacteristic
1404#97—111no—
1405#97C22×D1111yescharacteristic
1406C4×C8—111no—
1407C4×C8—111no—
1408C2×C11—41no—
1409C2×C11—41no—
1410C2×C11—81no—
1411C2×C11—81no—
1412C2×C11—81no—
1413C2×C11C2×#54611yescharacteristic
1414C2×C11C2×#57511yescharacteristic
1415C2×C11#358511yescharacteristic
1416D11—22no—
1417D11—41no—
1418D11—41no—
1419D11—81no—
1420D11—81no—
1421C24—111no—
1422C24—111no—
1423C24—221no—
1424C24—221no—
1425#41—22no—
1426#41—22no—
1427#41—41no—
1428#41—41no—
1429#41—222no—
1430#41—222no—
1431#41—222no—
1432#41—222no—
1433#41—222no—
1434#41—222no—
1435#41—222no—
1436#41—222no—
1437#41—441no—
1438#41—441no—
1439#41—444no—
1440#41—444no—
1441#41—441no—
1442#41—441no—
1443#41—444no—
1444#41—444no—
1445#41—441no—
1446#41—441no—
1447#41—444no—
1448C2×Q8—114no—
1449C2×Q8—111no—
1450C2×Q8—111no—
1451C2×Q8—221no—
1452C2×Q8—221no—
1453C2×Q8—221no—
1454C2×Q8—222no—
1455C2×Q8C23×D1111yescharacteristic
1456C2×D4—21no—
1457C2×D4—21no—
1458C2×D4—21no—
1459C2×D4—21no—
1460C2×D4—21no—
1461C2×D4—21no—
1462C2×D4—21no—
1463C2×D4—21no—
1464C2×D4—111no—
1465C2×D4—111no—
1466C2×D4—111no—
1467C2×D4—111no—
1468C2×D4—111no—
1469C2×D4—221no—
1470C2×D4—221no—
1471C2×D4—221no—
1472C2×D4—221no—
1473C2×D4—222no—
1474C2×D4—222no—
1475C2×D4—222no—
1476C2×D4—222no—
1477C2×D4—221no—
1478C2×D4—221no—
1479C2×D4—221no—
1480C2×D4—221no—
1481C2×D4—221no—
1482C2×D4—221no—
1483C2×D4—221no—
1484C2×D4—221no—
1485C2×D4—221no—
1486C2×D4—221no—
1487C2×D4—221no—
1488C2×D4—221no—
1489C2×D4—221no—
1490C2×D4—221no—
1491C2×D4—221no—
1492C2×D4—221no—
1493C2×D4—221no—
1494C2×D4—221no—
1495C2×D4—221no—
1496C2×D4—442no—
1497C2×D4—444no—
1498C2×D4—444no—
1499C2×D4—444no—
1500C2×D4—882no—
1501C2×D4—882no—
1502C2×D4—882no—
1503C2×D4D4×D1111yescharacteristic
1504C2×D4C23×D1111yescharacteristic
1505C2×D4C23×D1111yescharacteristic
1506C2×D4C23×D1111yescharacteristic
1507C22×C4—21no—
1508C22×C4—21no—
1509C22×C4—21no—
1510C22×C4—21no—
1511C22×C4—111no—
1512C22×C4—111no—
1513C22×C4—111no—
1514C22×C4—111no—
1515C22×C4—111no—
1516C22×C4—111no—
1517C22×C4—111no—
1518C22×C4—111no—
1519C22×C4—111no—
1520C22×C4—111no—
1521C22×C4—111no—
1522C22×C4—222no—
1523C22×C4—222no—
1524C22×C4—222no—
1525C22×C4—222no—
1526C22×C4—221no—
1527C22×C4—221no—
1528C22×C4—221no—
1529C22×C4—221no—
1530C22×C4—221no—
1531C22×C4—221no—
1532C22×C4—221no—
1533C22×C4—221no—
1534C22×C4—221no—
1535C22×C4—221no—
1536C22×C4—221no—
1537C22×C4—221no—
1538C22×C4—221no—
1539C22×C4—444no—
1540C22×C4—444no—
1541C22×C4C23×D1111yescharacteristic
1542C22×C4C23×D1111yescharacteristic
1543Q16—222no—
1544Q16—222no—
1545SD16—22no—
1546SD16—222no—
1547SD16—441no—
1548SD16—441no—
1549SD16—441no—
1550SD16—441no—
1551D8—41no—
1552D8—41no—
1553D8—441no—
1554D8—441no—
1555M16—41no—
1556M16—222no—
1557M16—222no—
1558M16—222no—
1559M16—222no—
1560M16—441no—
1561M16—441no—
1562M16—441no—
1563C2×C8—41no—
1564C2×C8—111no—
1565C2×C8—111no—
1566C2×C8—111no—
1567C2×C8—111no—
1568C2×C8—441no—
1569C2×C8—441no—
1570C2×C8—441no—
1571C2×C8C23×D1111yescharacteristic
1572C2×C8C23×D1111yescharacteristic
1573C2×C8C23×D1111yescharacteristic
1574C2×C8C23×D1111yescharacteristic
1575C4⋊C4—21no—
1576C4⋊C4—21no—
1577C4⋊C4—21no—
1578C4⋊C4—21no—
1579C4⋊C4—111no—
1580C4⋊C4—111no—
1581C4⋊C4—111no—
1582C4⋊C4—111no—
1583C4⋊C4—111no—
1584C4⋊C4—111no—
1585C4⋊C4—111no—
1586C4⋊C4—221no—
1587C4⋊C4—221no—
1588C4⋊C4—221no—
1589C4⋊C4—221no—
1590C4⋊C4—221no—
1591C4⋊C4—221no—
1592C4⋊C4—221no—
1593C4⋊C4—221no—
1594C4⋊C4—221no—
1595C4⋊C4—221no—
1596C4⋊C4—221no—
1597C4⋊C4—221no—
1598C4⋊C4—221no—
1599C4⋊C4—221no—
1600C4⋊C4—221no—
1601C4⋊C4—221no—
1602C4⋊C4—221no—
1603C4⋊C4D4×D1111yescharacteristic
1604C4⋊C4C23×D1111yescharacteristic
1605C4⋊C4C23×D1111yescharacteristic
1606C4⋊C4C23×D1111yescharacteristic
1607C4⋊C4C23×D1111yescharacteristic
1608C22⋊C4—21no—
1609C22⋊C4—21no—
1610C22⋊C4—21no—
1611C22⋊C4—21no—
1612C22⋊C4—21no—
1613C22⋊C4—21no—
1614C22⋊C4—111no—
1615C22⋊C4—111no—
1616C22⋊C4—111no—
1617C22⋊C4—111no—
1618C22⋊C4—111no—
1619C22⋊C4—111no—
1620C22⋊C4—221no—
1621C22⋊C4—221no—
1622C22⋊C4—221no—
1623C22⋊C4—221no—
1624C22⋊C4—221no—
1625C22⋊C4—221no—
1626C22⋊C4—221no—
1627C22⋊C4—221no—
1628C22⋊C4—221no—
1629C22⋊C4—221no—
1630C22⋊C4—221no—
1631C22⋊C4—221no—
1632C22⋊C4—221no—
1633C22⋊C4—221no—
1634C22⋊C4—221no—
1635C22⋊C4—221no—
1636C22⋊C4—221no—
1637C22⋊C4—221no—
1638C22⋊C4—221no—
1639C22⋊C4D4×D1111yescharacteristic
1640C22⋊C4D4×D1111yescharacteristic
1641C42—21no—
1642C42—21no—
1643C42—111no—
1644C42—111no—
1645C42—111no—
1646C42—221no—
1647C42—221no—
1648C42—221no—
1649C42—221no—
1650C42—221no—
1651C42—221no—
1652C42—221no—
1653C42—221no—
1654C42—221no—
1655C42—221no—
1656C42—221no—
1657C42C23×D1111yescharacteristic
1658C11#6116011yescharacteristic, complemented, Sylow
1659C23—21no—
1660C23—21no—
1661C23—21no—
1662C23—111no—
1663C23—111no—
1664C23—111no—
1665C23—222no—
1666C23—222no—
1667C23—221no—
1668C23—221no—
1669C23—441no—
1670C23—441no—
1671C23—441no—
1672C23—441no—
1673C23—442no—
1674C23—442no—
1675C23—442no—
1676C23—442no—
1677C23—442no—
1678C23—442no—
1679C23C2×D4×D1111yescharacteristic
1680C23C2×D4×D1111yescharacteristic
1681Q8—21no—
1682Q8—112no—
1683Q8—224no—
1684Q8—221no—
1685Q8—221no—
1686Q8—221no—
1687Q8—442no—
1688Q8—881no—
1689Q8#41×D1112yes—
1690D4—21no—
1691D4—21no—
1692D4—21no—
1693D4—21no—
1694D4—21no—
1695D4—21no—
1696D4—41no—
1697D4—42no—
1698D4—42no—
1699D4—42no—
1700D4—42no—
1701D4—81no—
1702D4—81no—
1703D4—81no—
1704D4—81no—
1705D4—222no—
1706D4—222no—
1707D4—221no—
1708D4—221no—
1709D4—221no—
1710D4—221no—
1711D4—441no—
1712D4—442no—
1713D4—442no—
1714D4—442no—
1715D4—442no—
1716D4—442no—
1717D4—442no—
1718D4—442no—
1719D4—442no—
1720D4—442no—
1721D4—442no—
1722D4—442no—
1723D4—442no—
1724D4—442no—
1725D4—881no—
1726D4—881no—
1727D4—881no—
1728D4—881no—
1729D4—881no—
1730D4—881no—
1731D4—881no—
1732D4—881no—
1733D4—881no—
1734D4—881no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—42no—
1745C2×C4—42no—
1746C2×C4—81no—
1747C2×C4—81no—
1748C2×C4—111no—
1749C2×C4—111no—
1750C2×C4—112no—
1751C2×C4—112no—
1752C2×C4—111no—
1753C2×C4—111no—
1754C2×C4—111no—
1755C2×C4—222no—
1756C2×C4—222no—
1757C2×C4—222no—
1758C2×C4—222no—
1759C2×C4—222no—
1760C2×C4—224no—
1761C2×C4—222no—
1762C2×C4—222no—
1763C2×C4—221no—
1764C2×C4—221no—
1765C2×C4—221no—
1766C2×C4—221no—
1767C2×C4—221no—
1768C2×C4—221no—
1769C2×C4—221no—
1770C2×C4—221no—
1771C2×C4—221no—
1772C2×C4—221no—
1773C2×C4—441no—
1774C2×C4—442no—
1775C2×C4—442no—
1776C2×C4—442no—
1777C2×C4—442no—
1778C2×C4—442no—
1779C2×C4—442no—
1780C2×C4—442no—
1781C2×C4—442no—
1782C2×C4—442no—
1783C2×C4—442no—
1784C2×C4—442no—
1785C2×C4—881no—
1786C2×C4C2×D4×D1111yescharacteristic
1787C2×C4C2×D4×D1111yescharacteristic
1788C2×C4C2×D4×D1111yescharacteristic
1789C2×C4C2×D4×D1111yescharacteristic
1790C2×C4C24×D1111yescharacteristic
1791C8—21no—
1792C8—21no—
1793C8—21no—
1794C8—21no—
1795C8—221no—
1796C8—221no—
1797C8—221no—
1798C8—221no—
1799C22—21no—
1800C22—21no—
1801C22—21no—
1802C22—21no—
1803C22—21no—
1804C22—21no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—112no—
1815C22—221no—
1816C22—221no—
1817C22—221no—
1818C22—221no—
1819C22—221no—
1820C22—221no—
1821C22—221no—
1822C22—221no—
1823C22—441no—
1824C22—441no—
1825C22—441no—
1826C22—441no—
1827C22—441no—
1828C22—441no—
1829C22—882no—
1830C22—882no—
1831C22—884no—
1832C22—884no—
1833C22C22×D4×D1111yescharacteristic
1834C4—21no—
1835C4—21no—
1836C4—22no—
1837C4—21no—
1838C4—21no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—112no—
1844C4—112no—
1845C4—221no—
1846C4—221no—
1847C4—222no—
1848C4—221no—
1849C4—441no—
1850C4—441no—
1851C4—441no—
1852C4—441no—
1853C4—441no—
1854C4C2×#41×D1111yescharacteristic
1855C4D11×H(5,𝔽2)11yescharacteristic
1856C2—41no—
1857C2—41no—
1858C2—81no—
1859C2—81no—
1860C2—81no—
1861C2—222no—
1862C2—441no—
1863C2—441no—
1864C2—881no—
1865C2—881no—
1866C2D11×#54611yescharacteristic
1867C2D11×#57511yescharacteristic
1868C2#1308339111yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3309C2
socleC22×C11C23×D4
hypercenter#3309D11
hypocenterC11#61160
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3309

Complements

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

NH ≅ G/Ntype
1. #13082175C2semidirect
2. D11×#550C2semidirect
3. #13080952C2semidirect
4. #13080950C2semidirect
5. #13080938C2semidirect
6. #13080936C2semidirect
7. #13080744C2semidirect
8. #13080742C2semidirect
9. #13080741C2semidirect
10. #13080739C2semidirect
11. #13080629C2semidirect
12. #13080627C2semidirect
13. #13080616C2semidirect
14. #13080561C2semidirect
15. #13080559C2semidirect
16. #13080553C2semidirect
17. #13080551C2semidirect
18. #13078989C2semidirect
19. #13078555C2semidirect
20. #13078551C2semidirect
21. #13078419C2semidirect
22. #13078234C2semidirect
23. #13078232C2semidirect
24. #13078091C2semidirect
25. #13077854C2semidirect
26. #13077854C2semidirect
27. #13077438C2semidirect
28. #13077349C2semidirect
29. #13077132C2semidirect
30. #13077131C2semidirect
31. C11×#3309C2semidirect
34. C11×#553C22semidirect
49. #10623225C22semidirect
53. #10623147C22semidirect
54. #10623142C22semidirect
69. #10623089C22semidirect
75. #10623072C22semidirect
78. #10623064C22semidirect
80. #10623042C22semidirect
82. C11×#490C22semidirect
83. C11×#482C22semidirect
84. C11×#480C22semidirect
85. C11×#479C22semidirect
86. C11×#469C22semidirect
87. C11×#466C22semidirect
88. C11×#459C22semidirect
89. C11×#449C22semidirect
90. C11×#449C22semidirect
91. C11×#440C22semidirect
92. C11×#435C22semidirect
93. C11×#417C22semidirect
94. C11×#416C22semidirect
95. #10622852C22semidirect
96. #10622852C22semidirect
97. #10622846C22semidirect
98. #10622845C22semidirect
99. #10622785C22semidirect
100. #10622785C22semidirect
101. SD16×Dic11C22semidirect
102. #10622772C22semidirect
103. #10622771C22semidirect
104. #10622771C22semidirect
105. #10622770C22semidirect
106. #10622763C22semidirect
107. #10622763C22semidirect
108. #10622747C22semidirect
109. #10622746C22semidirect
110. #10622741C22semidirect
111. #10622727C22semidirect
112. #10622726C22semidirect
113. C8×C22⋊D11C22semidirect
114. #10622688C22semidirect
115. #10622684C22semidirect
116. #10622680C22semidirect
117. #10622676C22semidirect
118. #10622655C22semidirect
119. #10622654C22semidirect
120. #10622652C22semidirect
121. #10622651C22semidirect
122. #10622650C22semidirect
123. #10622650C22semidirect
124. #10622648C22semidirect
125. #10622647C22semidirect
126. #10622643C22semidirect
127. #10622635C22semidirect
128. #10622631C22semidirect
129. #10622628C22semidirect
130. #10622624C22semidirect
131. #10622616C22semidirect
132. #10622615C22semidirect
133. #10622580C22semidirect
134. #10622579C22semidirect
135. #10622499C22semidirect
136. #10622498C22semidirect
137. #10622498C22semidirect
138. #10622495C22semidirect
141. #10622488C22semidirect
142. #10622486C22semidirect
143. #10622477C22semidirect
144. #10622476C22semidirect
146. #10622467C22semidirect
147. #10622461C22semidirect
149. #10622449C22semidirect
150. #10622442C22semidirect
151. #10622423C22semidirect
152. #10622423C22semidirect
153. #10622417C22semidirect
154. #10622417C22semidirect
155. #10622416C22semidirect
156. #10622416C22semidirect
160. #10622407C22semidirect
161. #10622404C22semidirect
162. #10622403C22semidirect
163. #10622396C22semidirect
164. #10622396C22semidirect
165. #10622395C22semidirect
166. #10622393C22semidirect
167. #10622392C22semidirect
168. #10622392C22semidirect
169. #10622391C22semidirect
170. #10622390C22semidirect
171. #10622388C22semidirect
172. #10622387C22semidirect
173. #10622385C22semidirect
174. #10622385C22semidirect
176. #10622384C22semidirect
177. #10622384C22semidirect
184. #10622375C22semidirect
185. #10622375C22semidirect
186. #10622373C22semidirect
187. #10622373C22semidirect
188. #10622373C22semidirect
189. #10622373C22semidirect
190. #10622371C22semidirect
191. #10622350C22semidirect
192. #10622348C22semidirect
193. #10622346C22semidirect
194. #10622346C22semidirect
195. #10622342C22semidirect
198. (C22⋊D11)⋊C8C22semidirect
199. #10622329C22semidirect
200. #10622326C22semidirect
202. #10622319C22semidirect
546. Q8×D11#41semidirect
738. #3309D11semidirect
907. #553C2×D11semidirect
949. #490C2×D11semidirect
961. #482C2×D11semidirect
969. #480C2×D11semidirect
973. #479C2×D11semidirect
981. #469C2×D11semidirect
989. #466C2×D11semidirect
1001. #459C2×D11semidirect
1016. #449C2×D11semidirect
1017. #449C2×D11semidirect
1021. #440C2×D11semidirect
1031. #435C2×D11semidirect
1055. #417C2×D11semidirect
1063. #416C2×D11semidirect
1658. C11#61160semidirect

Maximal subgroups

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

subgroupindex
#130821752
D11×#5502
#130809522
#130809502
#130809382
#130809362
#130807442
#130807422
#130807412
#130807392
#130806292
#130806272
#130806162
#130805612
#130805592
#130805532
#130805512
#130789892
#130785552
#130785512
#130784192
#130782342
#130782322
#130780912
#130778542
#130774382
#130773492
#130771322
#130771312
C11×#33092
#6116011