Finite Group Databasebeta

← #15647533

Subgroups — #15647533

Order 2816.

1850 conjugacy classes of subgroups.

The subgroup lattice has 1788 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082982C211yesmaximal, characteristic, complemented
2#13082715C211yesmaximal, characteristic, complemented
3#13081681C211yesmaximal, characteristic, complemented
4#13081655C211yesmaximal, characteristic, complemented
5#13081453C211yesmaximal, characteristic, complemented
6#13081342C211yesmaximal, characteristic, complemented
7#13080776C211yesmaximal, characteristic, complemented
8#13080756C211yesmaximal, characteristic, complemented
9#13080746C211yesmaximal, characteristic, complemented
10#13080591C211yesmaximal, characteristic, complemented
11#13080559C211yesmaximal, characteristic, complemented
12#13080444C211yesmaximal, characteristic, complemented
13#13080369C211yesmaximal, characteristic, complemented
14#13080321C211yesmaximal, characteristic, complemented
15#13080205C211yesmaximal, characteristic, complemented
16#13080170C211yesmaximal, characteristic, complemented
17#13080160C211yesmaximal, characteristic, complemented
18#13080110C211yesmaximal, characteristic, complemented
19#13080075C211yesmaximal, characteristic, complemented
20#13080024C211yesmaximal, characteristic, complemented
21#13079942C211yesmaximal, characteristic, complemented
22#13079717C211yesmaximal, characteristic, complemented
23#13079663C211yesmaximal, characteristic, complemented
24#13078890C211yesmaximal, characteristic, complemented
25#13078842C211yesmaximal, characteristic, complemented
26#13078768C211yesmaximal, characteristic, complemented
27#13078156C211yesmaximal, characteristic, complemented
28#13078135C211yesmaximal, characteristic, complemented
29#13078065C211yesmaximal, characteristic, complemented
30#13077757C211yesmaximal, characteristic, complemented
31C11×#3219C211yesmaximal, characteristic, complemented
32C11×#532C2211yescharacteristic
33C11×#529C2211yescharacteristic, complemented
34#10623365C2211yescharacteristic
35#10623365C2211yescharacteristic
36#10623360C2211yescharacteristic
37#10623360C2211yescharacteristic
38C2×#67003C2211yescharacteristic, complemented
39C2×#67003C2211yescharacteristic, complemented
40C2×#66971C2211yescharacteristic, complemented
41C2×#66969C2211yescharacteristic, complemented
42C2×SD16×D11C2211yescharacteristic
43C2×#66964C2211yescharacteristic
44#10623263C2211yescharacteristic
45#10623257C2211yescharacteristic
46#10623249C2211yescharacteristic
47#10623248C2211yescharacteristic
48#10623237—21no—
49#10623237—21no—
50#10623226C2211yescharacteristic
51#10623216C2211yescharacteristic, complemented
52#10623213C2211yescharacteristic
53#10623213C2211yescharacteristic
54#10623212C2211yescharacteristic, complemented
55#10623208C2211yescharacteristic
56#10623205C2211yescharacteristic
57#10623205C2211yescharacteristic
58#10623194—21no—
59#10623193—21no—
60#10623170C2211yescharacteristic, complemented
61#10623164C2211yescharacteristic, complemented
62#10623151—21no—
63#10623151—21no—
64#10623147C2211yescharacteristic, complemented
65#10623139—21no—
66#10623138—21no—
67#10623130C2211yescharacteristic, complemented
68#10623113C2211yescharacteristic, complemented
69#10623103C2211yescharacteristic, complemented
70#10623093C2211yescharacteristic, complemented
71#10623091—21no—
72#10623091—21no—
73#10623090—21no—
74#10623089—21no—
75#10623085—21no—
76#10623077C2211yescharacteristic, complemented
77#10623071—21no—
78#10623063—21no—
79#10623062—21no—
80#10623010C2211yescharacteristic
81#10623008C2211yescharacteristic
82C4×#4339C2211yescharacteristic, complemented
83C11×#497C2211yescharacteristic, complemented
84C11×#496C2211yescharacteristic
85C11×#491C2211yescharacteristic, complemented
86C11×#490C2211yescharacteristic
87C11×#464C2211yescharacteristic, complemented
88C11×#464C2211yescharacteristic, complemented
89C11×#463C2211yescharacteristic, complemented
90C11×#463C2211yescharacteristic, complemented
91C11×#452C2211yescharacteristic, complemented
92C11×#452C2211yescharacteristic, complemented
93C11×#449C2211yescharacteristic, complemented
94C11×#449C2211yescharacteristic, complemented
95C11×#432C2211yescharacteristic, complemented
96#10622846C2211yescharacteristic, complemented
97#10622846C2211yescharacteristic, complemented
98#10622804C2211yescharacteristic
99#10622801C2211yescharacteristic, complemented
100#10622800C2211yescharacteristic, complemented
101#10622799C2211yescharacteristic, complemented
102#10622798C2211yescharacteristic
103#10622798C2211yescharacteristic, complemented
104#10622797C2211yescharacteristic, complemented
105#10622789C2211yescharacteristic
106#10622789C2211yescharacteristic, complemented
107#10622787C2211yescharacteristic
108#10622787C2211yescharacteristic, complemented
109#10622786C2211yescharacteristic, complemented
110#10622785C2211yescharacteristic, complemented
111#10622783C2211yescharacteristic
112#10622782C2211yescharacteristic
113#10622778C2211yescharacteristic
114#10622778C2211yescharacteristic, complemented
115#10622776C2211yescharacteristic, complemented
116#10622776C2211yescharacteristic, complemented
117SD16×Dic11C2211yescharacteristic, complemented
118SD16×Dic11C2211yescharacteristic, complemented
119#10622771C2211yescharacteristic
120#10622770C2211yescharacteristic
121#10622769C2211yescharacteristic
122#10622765C2211yescharacteristic, complemented
123#10622764C2211yescharacteristic, complemented
124#10622763C2211yescharacteristic, complemented
125#10622763C2211yescharacteristic, complemented
126#10622703C2211yescharacteristic, complemented
127#10622696C2211yescharacteristic, complemented
128#10622688C2211yescharacteristic
129#10622685C2211yescharacteristic
130#10622679C2211yescharacteristic
131#10622679C2211yescharacteristic, complemented
132#10622670C2211yescharacteristic
133#10622670C2211yescharacteristic, complemented
134#10622670C2211yescharacteristic, complemented
135#10622670C2211yescharacteristic, complemented
136#10622667C2211yescharacteristic, complemented
137#10622667C2211yescharacteristic, complemented
138#10622661C2211yescharacteristic
139#10622661C2211yescharacteristic, complemented
140#10622651C2211yescharacteristic
141#10622651C2211yescharacteristic, complemented
142#10622640C2211yescharacteristic
143#10622634C2211yescharacteristic, complemented
144#10622628C2211yescharacteristic
145#10622621C2211yescharacteristic, complemented
146C2×C4⋊(C11⋊C8)C2211yescharacteristic, complemented
147#10622464C2211yescharacteristic, complemented
148#10622461C2211yescharacteristic
149#10622459C2211yescharacteristic, complemented
150#10622456C2211yescharacteristic
151#10622453C2211yescharacteristic, complemented
152#10622453C2211yescharacteristic, complemented
153#10622452C2211yescharacteristic, complemented
154#10622452C2211yescharacteristic, complemented
155#10622428C2211yescharacteristic, complemented
156#10622425C2211yescharacteristic, complemented
157#10622424C2211yescharacteristic, complemented
158#10622424C2211yescharacteristic, complemented
159#10622420C2211yescharacteristic, complemented
160#10622418C2211yescharacteristic, complemented
161#10622417C2211yescharacteristic, complemented
162#10622416C2211yescharacteristic, complemented
163#10622413C2211yescharacteristic
164#10622411C2211yescharacteristic
165#10622411C2211yescharacteristic
166#10622409C2211yescharacteristic, complemented
167#10622408C2211yescharacteristic
168#10622407C2211yescharacteristic, complemented
169#10622403C2211yescharacteristic, complemented
170#10622402C2211yescharacteristic, complemented
171#10622395C2211yescharacteristic
172#10622392C2211yescharacteristic
173#10622390C2211yescharacteristic
174#10622388C2211yescharacteristic
175#10622386C2211yescharacteristic
176#10622386C2211yescharacteristic
177#10622383C2211yescharacteristic
178D11×#102C2211yescharacteristic
179#10622379C2211yescharacteristic, complemented
180#10622377C2211yescharacteristic, complemented
181#10622375C2211yescharacteristic, complemented
182#10622375C2211yescharacteristic, complemented
183#10622373C2211yescharacteristic, complemented
184#10622372C2211yescharacteristic, complemented
185#10622371C2211yescharacteristic, complemented
186#10622370C2211yescharacteristic, complemented
187#10622350C2211yescharacteristic
188#10622350C2211yescharacteristic, complemented
189#10622347C2211yescharacteristic
190#10622347C2211yescharacteristic, complemented
191#10622343C2211yescharacteristic, complemented
192#10622343C2211yescharacteristic, complemented
193(C22⋊D11)⋊C8C2211yescharacteristic, complemented
194(C22⋊D11)⋊C8C2211yescharacteristic, complemented
195#10622324C2211yescharacteristic
196#10622324C2211yescharacteristic, complemented
197#10622323C2211yescharacteristic
198#10622323C2211yescharacteristic, complemented
199#10622319C2211yescharacteristic
200#10622319C2211yescharacteristic
201#10622314C2211yescharacteristic, complemented
202#10622314C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C2×C11×#41C2311yescharacteristic
205C2×#4343C2311yescharacteristic
206C2×#4343C2311yescharacteristic
207C2×Q8×D11C2311yescharacteristic
208C2×#4341—21no—
209C2×#4341C2311yescharacteristic
210C2×D4×D11—21no—
211C2×D4×D11C2311yescharacteristic
212C2×D4×D11C2311yescharacteristic
213C2×#4339—21no—
214C2×#4339C2311yescharacteristic
215C2×C11×Q16C2311yescharacteristic
216C2×C11×Q16C2311yescharacteristic
217C2×C11×SD16C2311yescharacteristic
218C2×C11×SD16C2311yescharacteristic
219C2×C11×SD16C2311yescharacteristic
220C2×C11×SD16C2311yescharacteristic
221C2×C11×D8C2311yescharacteristic
222C2×C11×D8C2311yescharacteristic
223C11×C4⋊Q8C2311yescharacteristic
224C11×#127C2311yescharacteristic
225C11×#126—21no—
226C11×#125C2311yescharacteristic
227C11×#124C2311yescharacteristic
228C11×#124C2311yescharacteristic
229C11×#124C2311yescharacteristic
230C11×#123—21no—
231C11×C22⋊Q8C2311yescharacteristic
232C11×#121—21no—
233C11×#121—21no—
234C11×#121C2311yescharacteristic
235C4×Q8×C11C2311yescharacteristic
236C4×D4×C11—21no—
237C4×D4×C11—21no—
238C4×D4×C11—21no—
239C4×D4×C11C2311yescharacteristic
240C11×#117—21no—
241C2×C42×C11C2311yescharacteristic
242#67003—42no—
243#67003—42no—
244#67000C2311yescharacteristic
245#67000C2311yescharacteristic
246#67000C2311yescharacteristic
247#66999C2311yescharacteristic
248#66999C2311yescharacteristic
249#66999C2311yescharacteristic
250Q8×Dic11C2311yescharacteristic
251Q8×Dic11C2311yescharacteristic
252Q8×Dic11C2311yescharacteristic
253C2×#4326C2311yescharacteristic
254C2×#4326C2311yescharacteristic
255C2×#4325C2311yescharacteristic
256C2×#4325C2311yescharacteristic
257C2×#4325C2311yescharacteristic
258C2×#4325C2311yescharacteristic
259#66993—21no—
260#66993—21no—
261#66993—21no—
262#66993C2311yescharacteristic
263#66993C2311yescharacteristic
264#66993C2311yescharacteristic
265#66992—21no—
266#66992—21no—
267#66992—21no—
268#66992—21no—
269#66992—21no—
270#66992—21no—
271#66991—21no—
272#66991—21no—
273#66991—21no—
274#66991—21no—
275#66991C2311yescharacteristic
276#66991C2311yescharacteristic
277#66991C2311yescharacteristic
278#66990—21no—
279#66990—21no—
280#66990—21no—
281#66990—21no—
282#66989—21no—
283D4×Dic11C2311yescharacteristic
284D4×Dic11C2311yescharacteristic
285D4×Dic11C2311yescharacteristic
286C2×#4324C2311yescharacteristic
287C2×#4324C2311yescharacteristic
288C2×#4323C2311yescharacteristic
289C2×#4323C2311yescharacteristic
290C2×#4323C2311yescharacteristic
291C2×#4323C2311yescharacteristic
292#66983—21no—
293#66983—21no—
294#66983—21no—
295#66983—21no—
296#66983D411yescharacteristic
297#66983C2311yescharacteristic
298#66983C2311yescharacteristic
299#66982—21no—
300#66982—21no—
301#66982—21no—
302#66982D411yescharacteristic
303#66982D411yescharacteristic
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—
312C2×(C2×D11)⋊C4—21no—
313#66979C2311yescharacteristic
314#66977D411yescharacteristic
315C2×Dic11⋊C4—21no—
316C22×C11⋊C8C2311yescharacteristic
317C22×C11⋊C8C2311yescharacteristic
318#66971—42no—
319#66969—42no—
320SD16×D11—42no—
321#66964—42no—
322C2×D88C2311yescharacteristic
323C2×D88C2311yescharacteristic
324C2×#4314C2311yescharacteristic
325C2×#4314C2311yescharacteristic
326C2×#4313C2311yescharacteristic
327C2×#4313C2311yescharacteristic
328C2×C8×D11C2311yescharacteristic
329C2×C8×D11C2311yescharacteristic
330#66951—21no—
331#66951—21no—
332#66951—21no—
333#66950—21no—
334#66949—21no—
335#66949—21no—
336#66948—21no—
337#66948—21no—
338#66948C2311yescharacteristic
339#66948C2311yescharacteristic
340#66947—21no—
341#66947—21no—
342#66947—21no—
343#66947—21no—
344#66946—21no—
345#66946—21no—
346#66945—21no—
347#66945—21no—
348#66945—21no—
349#66945C2311yescharacteristic
350C4⋊C4×D11—21no—
351C4⋊C4×D11C2311yescharacteristic
352#66943C2311yescharacteristic
353#66942—21no—
354#66942—21no—
355#66942—21no—
356#66941—21no—
357#66941C2311yescharacteristic
358#66940—21no—
359#66940—21no—
360#66940C2311yescharacteristic
361#66940C2311yescharacteristic
362#66939—21no—
363#66939—21no—
364#66939—21no—
365#66938—21no—
366#66938—21no—
367#66938—21no—
368#66938—21no—
369#66938—21no—
370#66938—21no—
371#66937—21no—
372#66937—21no—
373#66937—21no—
374#66937—21no—
375#66937—21no—
376#66937—21no—
377#66937—21no—
378#66937—21no—
379#66936—21no—
380#66936—21no—
381#66936—21no—
382#66935—21no—
383#66935—21no—
384#66935—21no—
385#66935—21no—
386(C22⋊D11)⋊C4—21no—
387(C22⋊D11)⋊C4—21no—
388(C22⋊D11)⋊C4—21no—
389(C22⋊D11)⋊C4—21no—
390#66932—21no—
391#66932—21no—
392#66932—21no—
393#66931—21no—
394#66931—21no—
395#66931—21no—
396#66930—21no—
397#66930—21no—
398#66929—21no—
399#66929D411yescharacteristic
400#66929D411yescharacteristic
401#66928—21no—
402#66928—21no—
403#66928D411yescharacteristic
404#66927C2311yescharacteristic
405C4×D44—21no—
406C4×D44C2311yescharacteristic
407C4×D44C2311yescharacteristic
408C4×D44C2311yescharacteristic
409C4×D44C2311yescharacteristic
410C4×D44C2311yescharacteristic
411#66925—21no—
412#66925—21no—
413#66925C2311yescharacteristic
414#66925C2311yescharacteristic
415C42×D11—21no—
416#66923D411yescharacteristic
417#66922C2311yescharacteristic
418C4×Dic22—21no—
419C4×Dic22C2311yescharacteristic
420C4×Dic22C2311yescharacteristic
421C4×Dic22C2311yescharacteristic
422C11×C4⋊C8C2311yescharacteristic
423C11×C4⋊C8C2311yescharacteristic
424C11×#103C2311yescharacteristic
425C11×#103C2311yescharacteristic
426C11×#103C2311yescharacteristic
427C11×#103C2311yescharacteristic
428C11×#102C2311yescharacteristic
429C11×#102C2311yescharacteristic
430C11×#102C2311yescharacteristic
431C11×#102C2311yescharacteristic
432C11×C22⋊C8C2311yescharacteristic
433C11×C22⋊C8C2311yescharacteristic
434C11×#97C2311yescharacteristic
435C11×#97C2311yescharacteristic
436#66899C2311yescharacteristic
437#66899C2311yescharacteristic
438#66899C2311yescharacteristic
439#66899C2311yescharacteristic
440#66899C2311yescharacteristic
441#66899C2311yescharacteristic
442#66896C2311yescharacteristic
443#66896C2311yescharacteristic
444#66896C2311yescharacteristic
445#66896C2311yescharacteristic
446#66896C2311yescharacteristic
447#66896C2311yescharacteristic
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#66882C2311yescharacteristic
460#66881C2311yescharacteristic
461#66881C2311yescharacteristic
462#66880C2311yescharacteristic
463#66880C2311yescharacteristic
464#66879C2311yescharacteristic
465#66879C2311yescharacteristic
466Dic11⋊C8C2311yescharacteristic
467Dic11⋊C8C2311yescharacteristic
468Dic11⋊C8C2311yescharacteristic
469Dic11⋊C8C2311yescharacteristic
470C8×Dic11C2311yescharacteristic
471C8×Dic11C2311yescharacteristic
472#66873C2311yescharacteristic
473#66873C2311yescharacteristic
474#66873C2311yescharacteristic
475#66873C2311yescharacteristic
476#66872C2311yescharacteristic
477#66872C2311yescharacteristic
478#66871C2311yescharacteristic
479#66871C2311yescharacteristic
480C4⋊(C11⋊C8)C2311yescharacteristic
481C4⋊(C11⋊C8)C2311yescharacteristic
482C4⋊(C11⋊C8)C2311yescharacteristic
483C4⋊(C11⋊C8)C2311yescharacteristic
484#62026—111nomaximal, Sylow
485C23×D11—21no—
486C23×D11—21no—
487C11×#41—41no—
488C11×#41—41no—
489C11×#41—41no—
490C11×#41—41no—
491C2×Q8×C11C2411yescharacteristic
492C2×Q8×C11C2411yescharacteristic
493C2×Q8×C11C2411yescharacteristic
494C2×D4×C11—21no—
495C2×D4×C11—21no—
496C2×D4×C11—21no—
497C2×D4×C11—21no—
498C2×D4×C11—21no—
499C2×D4×C11C2411yescharacteristic
500C2×D4×C11C2411yescharacteristic
501C2×D4×C11C2411yescharacteristic
502C22×C4×C11—21no—
503C22×C4×C11—21no—
504C22×C4×C11—21no—
505C22×C4×C11C2×D411yescharacteristic
506C22×C4×C11C2×D411yescharacteristic
507C22×C4×C11C2411yescharacteristic
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⋊D11—21no—
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⋊D11C2×D411yescharacteristic
524C2×C22⋊D11C2×D411yescharacteristic
525C22×Dic11—21no—
526C22×Dic11—21no—
527C22×Dic11—21no—
528C22×Dic11—21no—
529#4343—41no—
530#4343—41no—
531#4343—41no—
532#4343—41no—
533Q8×D11—22no—
534Q8×D11—41no—
535#4341—22no—
536#4341—41no—
537#4341—82no—
538D4×D11—41no—
539D4×D11—41no—
540D4×D11—41no—
541D4×D11—41no—
542D4×D11—82no—
543#4339—22no—
544#4339—41no—
545#4339—82no—
546C2×D44—21no—
547C2×D44—21no—
548C2×D44—21no—
549C2×D44—21no—
550C2×D44—21no—
551C2×D44—21no—
552C2×D44C2×D411yescharacteristic
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×D11C2411yescharacteristic
566C2×C4×D11C2411yescharacteristic
567C2×Dic22—21no—
568C2×Dic22—21no—
569C2×Dic22—21no—
570C2×Dic22C2×D411yescharacteristic
571C2×Dic22C2411yescharacteristic
572C11×Q16—41no—
573C11×Q16—41no—
574C11×SD16—41no—
575C11×SD16—41no—
576C11×SD16—41no—
577C11×SD16—41no—
578C11×D8—41no—
579C11×D8—41no—
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⋊C4C2411yescharacteristic
591C11×C4⋊C4C2411yescharacteristic
592C11×C22⋊C4—21no—
593C11×C22⋊C4—21no—
594C11×C22⋊C4—21no—
595C11×C22⋊C4—21no—
596C11×C22⋊C4—21no—
597C11×C22⋊C4—21no—
598C11×C22⋊C4—21no—
599C11×C22⋊C4—21no—
600C11×C22⋊C4—21no—
601C42×C11—21no—
602C42×C11C2×D411yescharacteristic
603C42×C11C2×D411yescharacteristic
604C42×C11C2411yescharacteristic
605C42×C11C2411yescharacteristic
606C22⋊Dic11—21no—
607C22⋊Dic11—21no—
608C22⋊Dic11—21no—
609C22⋊Dic11—21no—
610C22⋊Dic11—21no—
611C22⋊Dic11—21no—
612C22⋊Dic11—21no—
613C22⋊Dic11C2×D411yescharacteristic
614C22⋊Dic11C2×D411yescharacteristic
615#4326—22no—
616#4326—22no—
617#4325—41no—
618#4325—41no—
619#4325—41no—
620#4325—41no—
621#4324—22no—
622#4324—22no—
623#4323—41no—
624#4323—41no—
625#4323—41no—
626#4323—41no—
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)⋊C4—21no—
644(C2×D11)⋊C4—21no—
645(C2×D11)⋊C4C2×D411yescharacteristic
646(C2×D11)⋊C4C2×D411yescharacteristic
647(C2×D11)⋊C4C2×D411yescharacteristic
648(C2×D11)⋊C4C2×D411yescharacteristic
649(C2×D11)⋊C4C2×D411yescharacteristic
650(C2×D11)⋊C4C2×D411yescharacteristic
651(C2×D11)⋊C4C2×D411yescharacteristic
652(C2×D11)⋊C4C2×D411yescharacteristic
653C4⋊Dic11—21no—
654C4⋊Dic11—21no—
655C4⋊Dic11—21no—
656C4⋊Dic11—21no—
657C4⋊Dic11—21no—
658C4⋊Dic11C2×D411yescharacteristic
659C4⋊Dic11C2×D411yescharacteristic
660C4⋊Dic11C2411yescharacteristic
661C4⋊Dic11C2411yescharacteristic
662C4⋊Dic11C2411yescharacteristic
663C4⋊Dic11C2411yescharacteristic
664Dic11⋊C4—21no—
665Dic11⋊C4—21no—
666Dic11⋊C4—21no—
667Dic11⋊C4—21no—
668Dic11⋊C4—21no—
669Dic11⋊C4—21no—
670Dic11⋊C4—21no—
671Dic11⋊C4—21no—
672Dic11⋊C4—21no—
673Dic11⋊C4—21no—
674Dic11⋊C4C2×D411yescharacteristic
675Dic11⋊C4C2×D411yescharacteristic
676Dic11⋊C4C2×D411yescharacteristic
677Dic11⋊C4C2×D411yescharacteristic
678Dic11⋊C4C2×D411yescharacteristic
679Dic11⋊C4C2×D411yescharacteristic
680Dic11⋊C4C2×D411yescharacteristic
681Dic11⋊C4C2×D411yescharacteristic
682C4×Dic11—21no—
683C4×Dic11—21no—
684C4×Dic11—21no—
685C4×Dic11—21no—
686C4×Dic11—21no—
687C4×Dic11—21no—
688C4×Dic11—21no—
689C4×Dic11—21no—
690C4×Dic11—21no—
691C4×Dic11C2411yescharacteristic
692C4×Dic11C2411yescharacteristic
693C2×C11⋊C8—41no—
694C2×C11⋊C8—41no—
695C2×C11⋊C8C2411yescharacteristic
696C2×C11⋊C8C2411yescharacteristic
697C2×C11⋊C8C2411yescharacteristic
698C2×C11⋊C8C2411yescharacteristic
699D88—41no—
700D88—41no—
701#4314—22no—
702#4314—22no—
703#4313—41no—
704#4313—41no—
705C8×D11—41no—
706C8×D11—41no—
707#3546—111no—
708#3524—111no—
709#3401—111no—
710#3399—111no—
711#3377—111no—
712#3368—111no—
713#3319—111no—
714#3318—111no—
715#3317—111no—
716#3307—111no—
717#3305—111no—
718#3296—111no—
719#3287—111no—
720#3282—111no—
721#3271—111no—
722#3269—111no—
723#3268—111no—
724#3265—111no—
725#3262—111no—
726#3257—111no—
727#3247—111no—
728#3224—111no—
729#3220—111no—
730#3219D1111yescharacteristic, complemented
731#3125—111no—
732#3121—111no—
733#3115—111no—
734#3045—111no—
735#3043—111no—
736#3035—111no—
737#2992—111no—
738C23×C11—21no—
739C23×C11—21no—
740C23×C11—21no—
741C23×C11C22×D411yescharacteristic
742C22×D11—21no—
743C22×D11—21no—
744C22×D11—21no—
745C22×D11—81no—
746C22×D11—81no—
747C22×D11—81no—
748C22×D11—81no—
749C22×D11—81no—
750C22×D11—81no—
751C22×D11C22×D411yescharacteristic
752C22×D11C22×D411yescharacteristic
753Q8×C11—21no—
754Q8×C11—21no—
755Q8×C11—21no—
756Q8×C11—21no—
757Q8×C11—21no—
758Q8×C11—21no—
759D4×C11—21no—
760D4×C11—21no—
761D4×C11—21no—
762D4×C11—21no—
763D4×C11—21no—
764D4×C11—21no—
765D4×C11—42no—
766D4×C11—81no—
767D4×C11—81no—
768D4×C11—81no—
769D4×C11—81no—
770C2×C4×C11—21no—
771C2×C4×C11—21no—
772C2×C4×C11—21no—
773C2×C4×C11—21no—
774C2×C4×C11—21no—
775C2×C4×C11—21no—
776C2×C4×C11—21no—
777C2×C4×C11—41no—
778C2×C4×C11—41no—
779C2×C4×C11—81no—
780C2×C4×C11—81no—
781C2×C4×C11—81no—
782C2×C4×C11C22×D411yescharacteristic
783C2×C4×C11C22×D411yescharacteristic
784C2×C4×C11C22×D411yescharacteristic
785C2×C4×C11C22×D411yescharacteristic
786C2×C4×C11C22×D411yescharacteristic
787C2×C4×C11C2511yescharacteristic
788C22⋊D11—41no—
789C22⋊D11—41no—
790C22⋊D11—42no—
791C22⋊D11—42no—
792C22⋊D11—81no—
793C22⋊D11—81no—
794C22⋊D11—81no—
795C22⋊D11—81no—
796C22⋊D11—81no—
797C22⋊D11—81no—
798C22⋊D11—81no—
799C22⋊D11—81no—
800C22⋊D11—81no—
801C22⋊D11—81no—
802C22⋊D11—81no—
803C22⋊D11—81no—
804C22⋊D11—81no—
805C2×Dic11—21no—
806C2×Dic11—21no—
807C2×Dic11—21no—
808C2×Dic11—21no—
809C2×Dic11—21no—
810C2×Dic11—42no—
811C2×Dic11—81no—
812C2×Dic11—81no—
813C2×Dic11—81no—
814C2×Dic11C22×D411yescharacteristic
815C2×Dic11C22×D411yescharacteristic
816C2×Dic11C22×D411yescharacteristic
817C2×Dic11C22×D411yescharacteristic
818C2×Dic11C22×D411yescharacteristic
819C2×Dic11C22×D411yescharacteristic
820D44—21no—
821D44—21no—
822D44—21no—
823D44—21no—
824D44—21no—
825D44—21no—
826D44—41no—
827D44—81no—
828D44—81no—
829D44—81no—
830D44—81no—
831D44—81no—
832D44—81no—
833C4×D11—21no—
834C4×D11—21no—
835C4×D11—21no—
836C4×D11—21no—
837C4×D11—42no—
838C4×D11—42no—
839C4×D11—42no—
840C4×D11—42no—
841C4×D11—81no—
842C4×D11—81no—
843C4×D11—81no—
844C4×D11—81no—
845C4×D11—81no—
846Dic22—21no—
847Dic22—41no—
848Dic22—42no—
849Dic22—81no—
850Dic22—81no—
851Dic22H(5,𝔽2)12yes—
852C8×C11—21no—
853C8×C11—21no—
854C8×C11—21no—
855C8×C11—21no—
856C11⋊C8—21no—
857C11⋊C8—21no—
858C11⋊C8—21no—
859C11⋊C8—21no—
860C2×#137—111no—
861C2×AGL(1,ℤ/8)—111no—
862C2×#135—111no—
863C2×#135—111no—
864C2×#135—111no—
865C22×SD16—111no—
866#560—221no—
867#560—221no—
868#559—111no—
869#559—221no—
870#557—111no—
871#556—111no—
872#555—111no—
873#555—221no—
874#553—111no—
875#553—221no—
876#553—221no—
877#552—111no—
878#552—221no—
879#550—111no—
880#550—111no—
881#550—111no—
882#550—111no—
883#548—111no—
884#548—111no—
885#547—111no—
886#546—111no—
887#546—111no—
888#546—221no—
889D42—111no—
890#542—111no—
891#542—111no—
892#542—111no—
893#542—221no—
894#540—111no—
895#540—221no—
896#538—221no—
897#538—221no—
898#537—221no—
899#535—111no—
900#535—111no—
901#535—221no—
902#532—111no—
903#532C2×D1111yescharacteristic
904#529—111no—
905#529—221no—
906#529—221no—
907#529C2×D1111yescharacteristic, complemented
908#520—111no—
909#519—111no—
910C4×#41—111no—
911#497C2×D1111yescharacteristic, complemented
912#496—111no—
913#496—111no—
914#496C2×D1111yescharacteristic
915#495—111no—
916#493—111no—
917#491C2×D1111yescharacteristic, complemented
918#490—111no—
919#490C2×D1111yescharacteristic
920#489—111no—
921#488—111no—
922#486—111no—
923#485—111no—
924#483—111no—
925#482—111no—
926#482—111no—
927#482—111no—
928#481—111no—
929#479—111no—
930#478—111no—
931#478—111no—
932#478—111no—
933#477—111no—
934#477—111no—
935#476—111no—
936#475—111no—
937#474—111no—
938#474—111no—
939#469—111no—
940#468—111no—
941#468—111no—
942#468—111no—
943#467—111no—
944#466—111no—
945#466—111no—
946#466—111no—
947#466—111no—
948#465—111no—
949#465—111no—
950#465—111no—
951#464—111no—
952#464—111no—
953#464—111no—
954#464—111no—
955#464—111no—
956#464—111no—
957#464C2×D1111yescharacteristic, complemented
958#464C2×D1111yescharacteristic, complemented
959#463—111no—
960#463—111no—
961#463—111no—
962#463—111no—
963#463—111no—
964#463—111no—
965#463C2×D1111yescharacteristic, complemented
966#463C2×D1111yescharacteristic, complemented
967#462—111no—
968#461—111no—
969#460—111no—
970#460—111no—
971#460—111no—
972#460—111no—
973#460—111no—
974#460—111no—
975#460—111no—
976#459—111no—
977#459—111no—
978#459—111no—
979#459—111no—
980#459—111no—
981#452—111no—
982#452—111no—
983#452C2×D1111yescharacteristic, complemented
984#452C2×D1111yescharacteristic, complemented
985#451—111no—
986#450—111no—
987#449—111no—
988#449—111no—
989#449—111no—
990#449—111no—
991#449—111no—
992#449—111no—
993#449C2×D1111yescharacteristic, complemented
994#449C2×D1111yescharacteristic, complemented
995#448—111no—
996#447—111no—
997#447—111no—
998#447—111no—
999#446—111no—
1000#446—111no—
1001#442—111no—
1002#442—111no—
1003#442—111no—
1004#441—111no—
1005#441—111no—
1006#440—111no—
1007#440—111no—
1008#440—111no—
1009C4×Q16—111no—
1010C4×SD16—111no—
1011C4×SD16—111no—
1012C4×SD16—111no—
1013#435—111no—
1014#435—111no—
1015#435—111no—
1016#435—111no—
1017C8×D4—111no—
1018C8×D4—111no—
1019#433—111no—
1020#433—111no—
1021#432C2×D1111yescharacteristic, complemented
1022#424—111no—
1023#424—111no—
1024C2×C4⋊C8—111no—
1025#418—111no—
1026#417—111no—
1027#416—111no—
1028#416—111no—
1029#416—111no—
1030C2×#102—111no—
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×C11—41no—
1041C22×C11—41no—
1042C22×C11—41no—
1043C22×C11C23×D411yescharacteristic
1044C2×D11—21no—
1045C2×D11—21no—
1046C2×D11—21no—
1047C2×D11—21no—
1048C2×D11—21no—
1049C2×D11—21no—
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—162no—
1060C2×D11—162no—
1061C4×C11—21no—
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×C11C2×H(5,𝔽2)11yescharacteristic
1072C4×C11#58511yescharacteristic
1073Dic11—21no—
1074Dic11—21no—
1075Dic11—21no—
1076Dic11—21no—
1077Dic11—22no—
1078Dic11—21no—
1079Dic11—21no—
1080Dic11—41no—
1081Dic11—41no—
1082Dic11—41no—
1083Dic11—41no—
1084C2×#41—111no—
1085C2×#41—111no—
1086C2×#41—111no—
1087C2×#41—111no—
1088C2×#41—221no—
1089C2×#41—221no—
1090C2×#41C22×D1111yescharacteristic
1091C2×#41C22×D1111yescharacteristic
1092C22×Q8—111no—
1093C22×D4—111no—
1094C22×D4—111no—
1095C22×D4—221no—
1096#137—442no—
1097AGL(1,ℤ/8)—442no—
1098#135—442no—
1099#135—442no—
1100#135—442no—
1101C2×Q16—111no—
1102C2×Q16—111no—
1103C2×Q16C22×D1111yescharacteristic
1104C2×Q16C22×D1111yescharacteristic
1105C2×SD16—111no—
1106C2×SD16—111no—
1107C2×SD16—111no—
1108C2×SD16—111no—
1109C2×SD16—111no—
1110C2×SD16—111no—
1111C2×SD16—111no—
1112C2×SD16—111no—
1113C2×SD16—442no—
1114C2×SD16C22×D1111yescharacteristic
1115C2×SD16C22×D1111yescharacteristic
1116C2×SD16C22×D1111yescharacteristic
1117C2×SD16C22×D1111yescharacteristic
1118C2×D8—111no—
1119C2×D8—111no—
1120C2×D8—111no—
1121C2×D8—111no—
1122C2×D8—111no—
1123C2×D8—111no—
1124C2×D8C22×D1111yescharacteristic
1125C2×D8C22×D1111yescharacteristic
1126C2×M16—111no—
1127C2×M16—111no—
1128C22×C8—111no—
1129C22×C8—111no—
1130C22×C8—111no—
1131C22×C8—111no—
1132C4⋊Q8—111no—
1133C4⋊Q8—111no—
1134C4⋊Q8—221no—
1135C4⋊Q8C22×D1111yescharacteristic
1136#127—111no—
1137#127—111no—
1138#127—111no—
1139#127—111no—
1140#127—221no—
1141#127—221no—
1142#127—221no—
1143#127C22×D1111yescharacteristic
1144#126—21no—
1145#126—111no—
1146#126—111no—
1147#126—221no—
1148#126—221no—
1149#126—221no—
1150#126—221no—
1151#126—221no—
1152#126—221no—
1153#126—221no—
1154#125—111no—
1155#125—111no—
1156#125—221no—
1157#125—221no—
1158#125—221no—
1159#125C22×D1111yescharacteristic
1160#124—111no—
1161#124—111no—
1162#124—111no—
1163#124—111no—
1164#124—221no—
1165#124—221no—
1166#124—221no—
1167#124—221no—
1168#124—221no—
1169#124—221no—
1170#124—221no—
1171#124—221no—
1172#124—221no—
1173#124C22×D1111yescharacteristic
1174#124C22×D1111yescharacteristic
1175#124C22×D1111yescharacteristic
1176#123—21no—
1177#123—111no—
1178#123—111no—
1179#123—221no—
1180#123—221no—
1181#123—221no—
1182#123—221no—
1183#123—221no—
1184#123—221no—
1185#123—221no—
1186#123—221no—
1187#123—221no—
1188#123—221no—
1189#123—221no—
1190#123—221no—
1191#123—221no—
1192C22⋊Q8—111no—
1193C22⋊Q8—111no—
1194C22⋊Q8—111no—
1195C22⋊Q8—111no—
1196C22⋊Q8—221no—
1197C22⋊Q8—221no—
1198C22⋊Q8—221no—
1199C22⋊Q8—221no—
1200C22⋊Q8—221no—
1201C22⋊Q8—221no—
1202C22⋊Q8C22×D1111yescharacteristic
1203#121—21no—
1204#121—21no—
1205#121—111no—
1206#121—111no—
1207#121—111no—
1208#121—111no—
1209#121—111no—
1210#121—111no—
1211#121—111no—
1212#121—111no—
1213#121—221no—
1214#121—221no—
1215#121—221no—
1216#121—221no—
1217#121—221no—
1218#121—221no—
1219#121—221no—
1220#121—221no—
1221#121—221no—
1222#121—221no—
1223#121—221no—
1224#121—221no—
1225#121—221no—
1226#121—221no—
1227#121—221no—
1228#121—221no—
1229#121—221no—
1230#121—221no—
1231#121—221no—
1232#121—221no—
1233#121—221no—
1234#121—221no—
1235#121—221no—
1236#121—221no—
1237#121C22×D1111yescharacteristic
1238#120—221no—
1239#120—221no—
1240#120—221no—
1241#120—221no—
1242#120—221no—
1243#120—221no—
1244#120—221no—
1245#120—221no—
1246C4×Q8—111no—
1247C4×Q8—111no—
1248C4×Q8—111no—
1249C4×Q8—111no—
1250C4×Q8—111no—
1251C4×Q8—111no—
1252C4×Q8—111no—
1253C4×Q8—111no—
1254C4×Q8—221no—
1255C4×Q8—221no—
1256C4×Q8—221no—
1257C4×Q8C22×D1111yescharacteristic
1258C4×D4—21no—
1259C4×D4—21no—
1260C4×D4—21no—
1261C4×D4—111no—
1262C4×D4—111no—
1263C4×D4—111no—
1264C4×D4—111no—
1265C4×D4—111no—
1266C4×D4—111no—
1267C4×D4—111no—
1268C4×D4—111no—
1269C4×D4—111no—
1270C4×D4—111no—
1271C4×D4—221no—
1272C4×D4—221no—
1273C4×D4—221no—
1274C4×D4—221no—
1275C4×D4—221no—
1276C4×D4—221no—
1277C4×D4—221no—
1278C4×D4—221no—
1279C4×D4—221no—
1280C4×D4—221no—
1281C4×D4—221no—
1282C4×D4—221no—
1283C4×D4C22×D1111yescharacteristic
1284#117—21no—
1285#117—111no—
1286#117—111no—
1287#117—111no—
1288#117—111no—
1289#117—221no—
1290#117—221no—
1291#117—221no—
1292#117—221no—
1293#117—221no—
1294#117—221no—
1295#117—221no—
1296C2×C4⋊C4—111no—
1297C2×C4⋊C4—221no—
1298C2×C4⋊C4—221no—
1299C2×C22⋊C4—221no—
1300C2×C22⋊C4—221no—
1301C2×C42—221no—
1302C2×C42C22×D1111yescharacteristic
1303#107—111no—
1304#107—111no—
1305#107—111no—
1306#107—111no—
1307#106—111no—
1308#106—111no—
1309#106—111no—
1310#106—111no—
1311C4⋊C8—111no—
1312C4⋊C8—111no—
1313C4⋊C8—111no—
1314C4⋊C8—111no—
1315C4⋊C8—111no—
1316C4⋊C8—111no—
1317C4⋊C8—111no—
1318C4⋊C8—111no—
1319C4⋊C8C22×D1111yescharacteristic
1320C4⋊C8C22×D1111yescharacteristic
1321#103—111no—
1322#103—111no—
1323#103—111no—
1324#103—111no—
1325#103—111no—
1326#103—111no—
1327#103—111no—
1328#103—111no—
1329#103C22×D1111yescharacteristic
1330#103C22×D1111yescharacteristic
1331#103C22×D1111yescharacteristic
1332#103C22×D1111yescharacteristic
1333#102—111no—
1334#102—111no—
1335#102—111no—
1336#102—111no—
1337#102—111no—
1338#102—111no—
1339#102—111no—
1340#102—111no—
1341#102—111no—
1342#102—111no—
1343#102—111no—
1344#102—111no—
1345#102—111no—
1346#102—111no—
1347#102—111no—
1348#102—111no—
1349#102C22×D1111yescharacteristic
1350#102C22×D1111yescharacteristic
1351#102C22×D1111yescharacteristic
1352#102C22×D1111yescharacteristic
1353C22⋊C8—111no—
1354C22⋊C8—111no—
1355C22⋊C8—111no—
1356C22⋊C8—111no—
1357C22⋊C8C22×D1111yescharacteristic
1358C22⋊C8C22×D1111yescharacteristic
1359#97—111no—
1360#97—111no—
1361#97C22×D1111yescharacteristic
1362#97C22×D1111yescharacteristic
1363C4×C8—111no—
1364C4×C8—111no—
1365C2×C11—41no—
1366C2×C11—81no—
1367C2×C11—81no—
1368C2×C11—81no—
1369C2×C11#348811yescharacteristic
1370C2×C11#358411yescharacteristic
1371C2×C11#358511yescharacteristic
1372D11—41no—
1373D11—41no—
1374D11—81no—
1375D11—81no—
1376D11—81no—
1377C24—221no—
1378C24—221no—
1379#41—41no—
1380#41—41no—
1381#41—41no—
1382#41—41no—
1383#41—222no—
1384#41—222no—
1385#41—441no—
1386#41—441no—
1387#41—441no—
1388#41—441no—
1389#41—441no—
1390#41—441no—
1391#41—882no—
1392#41—882no—
1393C2×Q8—111no—
1394C2×Q8—111no—
1395C2×Q8—221no—
1396C2×Q8—221no—
1397C2×Q8—221no—
1398C2×Q8—222no—
1399C2×Q8—441no—
1400C2×Q8C23×D1111yescharacteristic
1401C2×Q8C23×D1111yescharacteristic
1402C2×Q8C23×D1111yescharacteristic
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—111no—
1409C2×D4—111no—
1410C2×D4—111no—
1411C2×D4—111no—
1412C2×D4—111no—
1413C2×D4—111no—
1414C2×D4—221no—
1415C2×D4—221no—
1416C2×D4—221no—
1417C2×D4—221no—
1418C2×D4—221no—
1419C2×D4—221no—
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—221no—
1434C2×D4—221no—
1435C2×D4—441no—
1436C2×D4—441no—
1437C2×D4—441no—
1438C2×D4—441no—
1439C2×D4—882no—
1440C2×D4C23×D1111yescharacteristic
1441C2×D4C23×D1111yescharacteristic
1442C2×D4C23×D1111yescharacteristic
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—111no—
1447C22×C4—111no—
1448C22×C4—221no—
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×C4D4×D1111yescharacteristic
1462C22×C4D4×D1111yescharacteristic
1463C22×C4C23×D1111yescharacteristic
1464Q16—41no—
1465Q16—41no—
1466Q16—222no—
1467Q16—222no—
1468SD16—41no—
1469SD16—41no—
1470SD16—41no—
1471SD16—41no—
1472SD16—222no—
1473SD16—222no—
1474SD16—222no—
1475SD16—222no—
1476SD16—441no—
1477SD16—441no—
1478SD16—441no—
1479SD16—441no—
1480D8—41no—
1481D8—41no—
1482D8—441no—
1483D8—441no—
1484D8—441no—
1485D8—441no—
1486D8—441no—
1487D8—441no—
1488M16—441no—
1489M16—441no—
1490C2×C8—111no—
1491C2×C8—111no—
1492C2×C8—111no—
1493C2×C8—111no—
1494C2×C8—441no—
1495C2×C8—441no—
1496C2×C8—441no—
1497C2×C8—441no—
1498C2×C8C23×D1111yescharacteristic
1499C2×C8C23×D1111yescharacteristic
1500C2×C8C23×D1111yescharacteristic
1501C2×C8C23×D1111yescharacteristic
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
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—111no—
1518C4⋊C4—111no—
1519C4⋊C4—111no—
1520C4⋊C4—111no—
1521C4⋊C4—111no—
1522C4⋊C4—221no—
1523C4⋊C4—221no—
1524C4⋊C4—221no—
1525C4⋊C4—221no—
1526C4⋊C4—221no—
1527C4⋊C4—221no—
1528C4⋊C4—221no—
1529C4⋊C4—221no—
1530C4⋊C4—221no—
1531C4⋊C4—221no—
1532C4⋊C4—221no—
1533C4⋊C4—221no—
1534C4⋊C4—221no—
1535C4⋊C4—221no—
1536C4⋊C4—221no—
1537C4⋊C4C23×D1111yescharacteristic
1538C4⋊C4C23×D1111yescharacteristic
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—111no—
1549C22⋊C4—111no—
1550C22⋊C4—111no—
1551C22⋊C4—111no—
1552C22⋊C4—111no—
1553C22⋊C4—111no—
1554C22⋊C4—111no—
1555C22⋊C4—111no—
1556C22⋊C4—111no—
1557C22⋊C4—111no—
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⋊C4—221no—
1575C22⋊C4—221no—
1576C22⋊C4—221no—
1577C22⋊C4—221no—
1578C22⋊C4—221no—
1579C22⋊C4—221no—
1580C22⋊C4—221no—
1581C22⋊C4—221no—
1582C22⋊C4—221no—
1583C42—21no—
1584C42—111no—
1585C42—111no—
1586C42—221no—
1587C42—221no—
1588C42—221no—
1589C42—221no—
1590C42—221no—
1591C42—221no—
1592C42—221no—
1593C42—221no—
1594C42—221no—
1595C42D4×D1111yescharacteristic
1596C42D4×D1111yescharacteristic
1597C42C23×D1111yescharacteristic
1598C42C23×D1111yescharacteristic
1599C11#6202611yescharacteristic, complemented, Sylow
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—111no—
1604C23—111no—
1605C23—221no—
1606C23—221no—
1607C23—221no—
1608C23—881no—
1609C23—881no—
1610C23—881no—
1611C23—881no—
1612C23—881no—
1613C23—881no—
1614C23C2×D4×D1111yescharacteristic
1615Q8—21no—
1616Q8—21no—
1617Q8—21no—
1618Q8—21no—
1619Q8—21no—
1620Q8—21no—
1621Q8—112no—
1622Q8—221no—
1623Q8—441no—
1624Q8—442no—
1625Q8—881no—
1626Q8—881no—
1627D4—21no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—42no—
1634D4—81no—
1635D4—81no—
1636D4—81no—
1637D4—81no—
1638D4—221no—
1639D4—221no—
1640D4—221no—
1641D4—221no—
1642D4—221no—
1643D4—221no—
1644D4—441no—
1645D4—441no—
1646D4—441no—
1647D4—442no—
1648D4—442no—
1649D4—881no—
1650D4—881no—
1651D4—881no—
1652D4—881no—
1653D4—881no—
1654D4—881no—
1655D4—881no—
1656D4—881no—
1657D4—881no—
1658D4—881no—
1659D4—881no—
1660D4—881no—
1661D4—881no—
1662D4—881no—
1663D4—881no—
1664D4—881no—
1665D4—881no—
1666D4—881no—
1667D4—881no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—41no—
1676C2×C4—41no—
1677C2×C4—81no—
1678C2×C4—81no—
1679C2×C4—81no—
1680C2×C4—111no—
1681C2×C4—111no—
1682C2×C4—111no—
1683C2×C4—111no—
1684C2×C4—111no—
1685C2×C4—111no—
1686C2×C4—221no—
1687C2×C4—221no—
1688C2×C4—221no—
1689C2×C4—221no—
1690C2×C4—221no—
1691C2×C4—221no—
1692C2×C4—221no—
1693C2×C4—221no—
1694C2×C4—221no—
1695C2×C4—442no—
1696C2×C4—442no—
1697C2×C4—442no—
1698C2×C4—442no—
1699C2×C4—442no—
1700C2×C4—881no—
1701C2×C4—881no—
1702C2×C4—881no—
1703C2×C4—881no—
1704C2×C4—881no—
1705C2×C4—881no—
1706C2×C4—881no—
1707C2×C4—881no—
1708C2×C4C2×D4×D1111yescharacteristic
1709C2×C4C2×D4×D1111yescharacteristic
1710C2×C4C2×D4×D1111yescharacteristic
1711C2×C4C2×D4×D1111yescharacteristic
1712C2×C4C2×D4×D1111yescharacteristic
1713C2×C4C24×D1111yescharacteristic
1714C8—21no—
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—221no—
1719C8—221no—
1720C8—221no—
1721C8—221no—
1722C22—21no—
1723C22—21no—
1724C22—21no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—221no—
1735C22—221no—
1736C22—221no—
1737C22—221no—
1738C22—221no—
1739C22—221no—
1740C22—441no—
1741C22—441no—
1742C22—441no—
1743C22—441no—
1744C22—441no—
1745C22—441no—
1746C22—441no—
1747C22—441no—
1748C22—441no—
1749C22—1762no—
1750C22—1762no—
1751C22C22×D4×D1111yescharacteristic
1752C4—21no—
1753C4—21no—
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—221no—
1763C4—221no—
1764C4—221no—
1765C4—221no—
1766C4—222no—
1767C4—221no—
1768C4—221no—
1769C4—441no—
1770C4—441no—
1771C4—441no—
1772C4—441no—
1773C4D11×H(5,𝔽2)11yescharacteristic
1774C4#1062345511yescharacteristic
1775C2—41no—
1776C2—81no—
1777C2—81no—
1778C2—81no—
1779C2—441no—
1780C2—441no—
1781C2—881no—
1782C2—881no—
1783C2—881no—
1784C2#1308228311yescharacteristic
1785C2#1308338911yescharacteristic
1786C2#1308339311yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3219C2
socleC22×C11C23×D4
hypercenter#3219D11
hypocenterC11#62026
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3219

Complements

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

NH ≅ G/Ntype
1. #13082982C2semidirect
2. #13082715C2semidirect
3. #13081681C2semidirect
4. #13081655C2semidirect
5. #13081453C2semidirect
6. #13081342C2semidirect
7. #13080776C2semidirect
8. #13080756C2semidirect
9. #13080746C2semidirect
10. #13080591C2semidirect
11. #13080559C2semidirect
12. #13080444C2semidirect
13. #13080369C2semidirect
14. #13080321C2semidirect
15. #13080205C2semidirect
16. #13080170C2semidirect
17. #13080160C2semidirect
18. #13080110C2semidirect
19. #13080075C2semidirect
20. #13080024C2semidirect
21. #13079942C2semidirect
22. #13079717C2semidirect
23. #13079663C2semidirect
24. #13078890C2semidirect
25. #13078842C2semidirect
26. #13078768C2semidirect
27. #13078156C2semidirect
28. #13078135C2semidirect
29. #13078065C2semidirect
30. #13077757C2semidirect
31. C11×#3219C2semidirect
33. C11×#529C22semidirect
38. C2×#67003C22semidirect
39. C2×#67003C22semidirect
40. C2×#66971C22semidirect
41. C2×#66969C22semidirect
51. #10623216C22semidirect
54. #10623212C22semidirect
60. #10623170C22semidirect
61. #10623164C22semidirect
64. #10623147C22semidirect
67. #10623130C22semidirect
68. #10623113C22semidirect
69. #10623103C22semidirect
70. #10623093C22semidirect
76. #10623077C22semidirect
82. C4×#4339C22semidirect
83. C11×#497C22semidirect
85. C11×#491C22semidirect
87. C11×#464C22semidirect
88. C11×#464C22semidirect
89. C11×#463C22semidirect
90. C11×#463C22semidirect
91. C11×#452C22semidirect
92. C11×#452C22semidirect
93. C11×#449C22semidirect
94. C11×#449C22semidirect
95. C11×#432C22semidirect
96. #10622846C22semidirect
97. #10622846C22semidirect
99. #10622801C22semidirect
100. #10622800C22semidirect
101. #10622799C22semidirect
103. #10622798C22semidirect
104. #10622797C22semidirect
106. #10622789C22semidirect
108. #10622787C22semidirect
109. #10622786C22semidirect
110. #10622785C22semidirect
114. #10622778C22semidirect
115. #10622776C22semidirect
116. #10622776C22semidirect
117. SD16×Dic11C22semidirect
118. SD16×Dic11C22semidirect
122. #10622765C22semidirect
123. #10622764C22semidirect
124. #10622763C22semidirect
125. #10622763C22semidirect
126. #10622703C22semidirect
127. #10622696C22semidirect
131. #10622679C22semidirect
133. #10622670C22semidirect
134. #10622670C22semidirect
135. #10622670C22semidirect
136. #10622667C22semidirect
137. #10622667C22semidirect
139. #10622661C22semidirect
141. #10622651C22semidirect
143. #10622634C22semidirect
145. #10622621C22semidirect
146. C2×C4⋊(C11⋊C8)C22semidirect
147. #10622464C22semidirect
149. #10622459C22semidirect
151. #10622453C22semidirect
152. #10622453C22semidirect
153. #10622452C22semidirect
154. #10622452C22semidirect
155. #10622428C22semidirect
156. #10622425C22semidirect
157. #10622424C22semidirect
158. #10622424C22semidirect
159. #10622420C22semidirect
160. #10622418C22semidirect
161. #10622417C22semidirect
162. #10622416C22semidirect
166. #10622409C22semidirect
168. #10622407C22semidirect
169. #10622403C22semidirect
170. #10622402C22semidirect
179. #10622379C22semidirect
180. #10622377C22semidirect
181. #10622375C22semidirect
182. #10622375C22semidirect
183. #10622373C22semidirect
184. #10622372C22semidirect
185. #10622371C22semidirect
186. #10622370C22semidirect
188. #10622350C22semidirect
190. #10622347C22semidirect
191. #10622343C22semidirect
192. #10622343C22semidirect
193. (C22⋊D11)⋊C8C22semidirect
194. (C22⋊D11)⋊C8C22semidirect
196. #10622324C22semidirect
198. #10622323C22semidirect
201. #10622314C22semidirect
202. #10622314C22semidirect
730. #3219D11semidirect
907. #529C2×D11semidirect
911. #497C2×D11semidirect
917. #491C2×D11semidirect
957. #464C2×D11semidirect
958. #464C2×D11semidirect
965. #463C2×D11semidirect
966. #463C2×D11semidirect
983. #452C2×D11semidirect
984. #452C2×D11semidirect
993. #449C2×D11semidirect
994. #449C2×D11semidirect
1021. #432C2×D11semidirect
1599. C11#62026semidirect

Maximal subgroups

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

subgroupindex
#130829822
#130827152
#130816812
#130816552
#130814532
#130813422
#130807762
#130807562
#130807462
#130805912
#130805592
#130804442
#130803692
#130803212
#130802052
#130801702
#130801602
#130801102
#130800752
#130800242
#130799422
#130797172
#130796632
#130788902
#130788422
#130787682
#130781562
#130781352
#130780652
#130777572
C11×#32192
#6202611