Finite Group Databasebeta

← #15647421

Subgroups — #15647421

Order 2816.

1892 conjugacy classes of subgroups.

The subgroup lattice has 1804 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13083134C211yesmaximal, characteristic, complemented
2#13082697C211yesmaximal, characteristic, complemented
3#13081707C211yesmaximal, characteristic, complemented
4#13081701C211yesmaximal, characteristic, complemented
5#13081435C211yesmaximal, characteristic, complemented
6#13081427C211yesmaximal, characteristic, complemented
7#13080701C211yesmaximal, characteristic, complemented
8#13080690C211yesmaximal, characteristic, complemented
9#13080606C211yesmaximal, characteristic, complemented
10#13080600C211yesmaximal, characteristic, complemented
11#13080428C211yesmaximal, characteristic, complemented
12#13080422C211yesmaximal, characteristic, complemented
13#13080356C211yesmaximal, characteristic, complemented
14#13080355C211yesmaximal, characteristic, complemented
15#13080160C211yesmaximal, characteristic, complemented
16#13080154C211yesmaximal, characteristic, complemented
17#13080110C211yesmaximal, characteristic, complemented
18#13080109C211yesmaximal, characteristic, complemented
19#13080075C211yesmaximal, characteristic, complemented
20#13080072C211yesmaximal, characteristic, complemented
21#13079924C211yesmaximal, characteristic, complemented
22#13079715C211yesmaximal, characteristic, complemented
23#13079601C211yesmaximal, characteristic, complemented
24#13078880C211yesmaximal, characteristic, complemented
25#13078875C211yesmaximal, characteristic, complemented
26#13078737C211yesmaximal, characteristic, complemented
27#13078151C211yesmaximal, characteristic, complemented
28#13078150C211yesmaximal, characteristic, complemented
29D11×#464C211yesmaximal, characteristic, complemented
30#13077750C211yesmaximal, characteristic, complemented
31C11×#3224C211yesmaximal, characteristic, complemented
32C11×#542C2211yescharacteristic, complemented
33C11×#535C2211yescharacteristic
34#10623362C2211yescharacteristic
35#10623360C2211yescharacteristic
36C2×#67003C2211yescharacteristic, complemented
37#10623337C2211yescharacteristic
38D4×C22⋊D11C2211yescharacteristic
39C2×#66985C2211yescharacteristic, complemented
40C2×Q16×D11C2211yescharacteristic, complemented
41C2×SD16×D11C2211yescharacteristic
42C2×#66965C2211yescharacteristic, complemented
43C2×#66964C2211yescharacteristic, complemented
44#10623257C2211yescharacteristic, complemented
45#10623253C2211yescharacteristic, complemented
46#10623248C2211yescharacteristic
47#10623247C2211yescharacteristic
48#10623246C2211yescharacteristic
49#10623244C2211yescharacteristic
50#10623241—21no—
51#10623237—21no—
52#10623213C2211yescharacteristic
53#10623212C2211yescharacteristic
54#10623212C2211yescharacteristic, complemented
55#10623208C2211yescharacteristic
56#10623208C2211yescharacteristic, complemented
57D11×#124C2211yescharacteristic
58#10623200—21no—
59#10623199—21no—
60#10623195—21no—
61#10623186—21no—
62#10623167—21no—
63#10623166C2211yescharacteristic, complemented
64#10623164C2211yescharacteristic, complemented
65#10623162—21no—
66#10623152—21no—
67#10623148—21no—
68#10623144—21no—
69#10623142C2211yescharacteristic, complemented
70#10623141—21no—
71#10623130C2211yescharacteristic, complemented
72#10623125—21no—
73#10623124—21no—
74#10623122—21no—
75#10623120—21no—
76#10623113C2211yescharacteristic, complemented
77C4×Q8×D11C2211yescharacteristic, complemented
78#10623079C2211yescharacteristic, complemented
79#10623077C2211yescharacteristic, complemented
80#10623065C2211yescharacteristic
81#10623059C2211yescharacteristic
82#10623054C2211yescharacteristic, complemented
83C11×#496C2211yescharacteristic
84C11×#495C2211yescharacteristic, complemented
85C11×#489C2211yescharacteristic, complemented
86C11×#486C2211yescharacteristic
87C11×#464C2211yescharacteristic, complemented
88C11×#463C2211yescharacteristic, complemented
89C11×#460C2211yescharacteristic, complemented
90C11×#459C2211yescharacteristic, complemented
91C11×#452C2211yescharacteristic, complemented
92C11×#450C2211yescharacteristic, complemented
93C11×#449C2211yescharacteristic, complemented
94C11×#447C2211yescharacteristic, complemented
95C11×#433C2211yescharacteristic, complemented
96#10622845C2211yescharacteristic, complemented
97C2×#66896C2211yescharacteristic, complemented
98#10622801C2211yescharacteristic, complemented
99#10622798C2211yescharacteristic, complemented
100#10622798C2211yescharacteristic, complemented
101#10622789C2211yescharacteristic
102#10622789C2211yescharacteristic, complemented
103#10622787C2211yescharacteristic
104#10622786C2211yescharacteristic, complemented
105#10622786C2211yescharacteristic, complemented
106#10622783C2211yescharacteristic, complemented
107#10622783C2211yescharacteristic, complemented
108#10622783C2211yescharacteristic, complemented
109#10622782C2211yescharacteristic, complemented
110#10622781C2211yescharacteristic, complemented
111#10622779C2211yescharacteristic, complemented
112#10622778C2211yescharacteristic, complemented
113#10622777C2211yescharacteristic, complemented
114#10622777C2211yescharacteristic, complemented
115#10622777C2211yescharacteristic, complemented
116#10622771C2211yescharacteristic
117#10622770C2211yescharacteristic, complemented
118#10622770C2211yescharacteristic, complemented
119#10622769C2211yescharacteristic
120#10622767C2211yescharacteristic, complemented
121#10622766C2211yescharacteristic, complemented
122#10622763C2211yescharacteristic
123#10622763C2211yescharacteristic, complemented
124#10622763C2211yescharacteristic, complemented
125D8×Dic11C2211yescharacteristic, complemented
126#10622704C2211yescharacteristic, complemented
127#10622700C2211yescharacteristic, complemented
128#10622688C2211yescharacteristic
129#10622688C2211yescharacteristic, complemented
130#10622685C2211yescharacteristic
131#10622685C2211yescharacteristic, complemented
132#10622670C2211yescharacteristic, complemented
133#10622670C2211yescharacteristic, complemented
134#10622670C2211yescharacteristic, complemented
135#10622667C2211yescharacteristic, complemented
136#10622667C2211yescharacteristic, complemented
137#10622667C2211yescharacteristic, complemented
138#10622664C2211yescharacteristic, complemented
139#10622662C2211yescharacteristic
140#10622655C2211yescharacteristic, complemented
141#10622651C2211yescharacteristic
142#10622641C2211yescharacteristic, complemented
143#10622634C2211yescharacteristic, complemented
144#10622629C2211yescharacteristic, complemented
145#10622620C2211yescharacteristic, complemented
146#10622612C2211yescharacteristic, complemented
147#10622463C2211yescharacteristic, complemented
148#10622459C2211yescharacteristic, complemented
149#10622458C2211yescharacteristic, complemented
150#10622457C2211yescharacteristic, complemented
151#10622453C2211yescharacteristic, complemented
152#10622452C2211yescharacteristic, complemented
153#10622448C2211yescharacteristic, complemented
154D11×C4⋊C8C2211yescharacteristic, complemented
155#10622425C2211yescharacteristic, complemented
156#10622422C2211yescharacteristic, complemented
157#10622419C2211yescharacteristic, complemented
158D11×#103C2211yescharacteristic, complemented
159#10622411C2211yescharacteristic, complemented
160#10622408C2211yescharacteristic, complemented
161#10622407C2211yescharacteristic, complemented
162#10622403C2211yescharacteristic, complemented
163#10622394C2211yescharacteristic, complemented
164#10622388C2211yescharacteristic
165#10622388C2211yescharacteristic, complemented
166#10622388C2211yescharacteristic, complemented
167#10622387C2211yescharacteristic
168#10622387C2211yescharacteristic, complemented
169#10622387C2211yescharacteristic, complemented
170#10622386C2211yescharacteristic
171#10622386C2211yescharacteristic, complemented
172#10622384C2211yescharacteristic, complemented
173D11×#102C2211yescharacteristic
174D11×#102C2211yescharacteristic, complemented
175#10622380C2211yescharacteristic, complemented
176#10622380C2211yescharacteristic, complemented
177#10622378C2211yescharacteristic, complemented
178#10622378C2211yescharacteristic, complemented
179#10622375C2211yescharacteristic
180#10622373C2211yescharacteristic
181#10622372C2211yescharacteristic, complemented
182#10622372C2211yescharacteristic, complemented
183#10622372C2211yescharacteristic, complemented
184#10622370C2211yescharacteristic, complemented
185#10622370C2211yescharacteristic, complemented
186#10622370C2211yescharacteristic, complemented
187#10622349C2211yescharacteristic
188#10622347C2211yescharacteristic
189#10622346C2211yescharacteristic, complemented
190#10622343C2211yescharacteristic, complemented
191#10622341C2211yescharacteristic, complemented
192#10622341C2211yescharacteristic, complemented
193(C22⋊D11)⋊C8C2211yescharacteristic, complemented
194#10622335C2211yescharacteristic, complemented
195#10622323C2211yescharacteristic, complemented
196#10622323C2211yescharacteristic, complemented
197#10622319C2211yescharacteristic, complemented
198#10622314C2211yescharacteristic, complemented
199C4×Dic44C2211yescharacteristic, complemented
200C4×D88C2211yescharacteristic, complemented
201C8×D44C2211yescharacteristic, complemented
202#10622292C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C22×D4×C11C2311yescharacteristic
205C22×C22⋊D11—21no—
206C2×#4343—21no—
207C2×Q8×D11C2311yescharacteristic
208C2×Q8×D11C2311yescharacteristic
209C2×#4341—21no—
210C2×#4341—21no—
211C2×#4341C2311yescharacteristic
212C2×#4341C2311yescharacteristic
213C2×D4×D11—21no—
214C2×D4×D11C2311yescharacteristic
215C2×D4×D11C2311yescharacteristic
216C2×#4339—21no—
217C2×#4339C2311yescharacteristic
218C2×C11×Q16C2311yescharacteristic
219C2×C11×SD16C2311yescharacteristic
220C2×C11×SD16C2311yescharacteristic
221C2×C11×SD16C2311yescharacteristic
222C2×C11×SD16C2311yescharacteristic
223C2×C11×D8C2311yescharacteristic
224C2×C11×D8C2311yescharacteristic
225C2×C11×D8C2311yescharacteristic
226C11×C4⋊Q8C2311yescharacteristic
227C11×#127C2311yescharacteristic
228C11×#127C2311yescharacteristic
229C11×#126—21no—
230C11×#124—21no—
231C11×#124C2311yescharacteristic
232C11×#124C2311yescharacteristic
233C11×#124C2311yescharacteristic
234C11×#123—21no—
235C11×C22⋊Q8—21no—
236C11×C22⋊Q8C2311yescharacteristic
237C11×#121—21no—
238C11×#121—21no—
239C11×#121C2311yescharacteristic
240C11×#120—21no—
241C11×#120—21no—
242C4×Q8×C11C2311yescharacteristic
243C4×D4×C11C2311yescharacteristic
244C11×#117C2311yescharacteristic
245#67006—21no—
246#67006—21no—
247C2×C22⋊Dic11—21no—
248#67003—42no—
249#67000C2311yescharacteristic
250#67000C2311yescharacteristic
251#66999—21no—
252#66999C2311yescharacteristic
253#66999C2311yescharacteristic
254Q8×Dic11C2311yescharacteristic
255Q8×Dic11C2311yescharacteristic
256#66997—21no—
257#66997—21no—
258C2×#4326C2311yescharacteristic
259C2×#4326C2311yescharacteristic
260C2×#4325C2311yescharacteristic
261C2×#4325C2311yescharacteristic
262#66993—21no—
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#66991C2311yescharacteristic
275#66991C2311yescharacteristic
276#66991C2311yescharacteristic
277#66991C2311yescharacteristic
278#66990—21no—
279#66990—21no—
280#66990—21no—
281#66990—21no—
282#66990—21no—
283#66990—21no—
284#66989—21no—
285#66989—21no—
286#66989—21no—
287#66989C2311yescharacteristic
288#66989C2311yescharacteristic
289#66988—21no—
290#66988—21no—
291#66988—21no—
292#66988—21no—
293D4×Dic11—21no—
294D4×Dic11—21no—
295D4×Dic11C2311yescharacteristic
296D4×Dic11C2311yescharacteristic
297D4×Dic11C2311yescharacteristic
298D4×Dic11C2311yescharacteristic
299C2×#4324C2311yescharacteristic
300C2×#4324C2311yescharacteristic
301C2×#4324C2311yescharacteristic
302C2×#4324C2311yescharacteristic
303#66985—42no—
304C2×#4323C2311yescharacteristic
305C2×#4323C2311yescharacteristic
306C2×#4323C2311yescharacteristic
307C2×#4323C2311yescharacteristic
308#66983C2311yescharacteristic
309#66982—21no—
310C4×C22⋊D11—21no—
311C4×C22⋊D11—21no—
312C4×C22⋊D11—21no—
313C4×C22⋊D11C2311yescharacteristic
314C4×C22⋊D11C2311yescharacteristic
315C2×(C2×D11)⋊C4—21no—
316C2×C4⋊Dic11C2311yescharacteristic
317#66977—21no—
318#66977C2311yescharacteristic
319C2×Dic11⋊C4—21no—
320C2×#4318C2311yescharacteristic
321C22×C11⋊C8C2311yescharacteristic
322Q16×D11—42no—
323SD16×D11—42no—
324#66965—42no—
325#66964—42no—
326C2×Dic44C2311yescharacteristic
327C2×D88C2311yescharacteristic
328C2×#4314C2311yescharacteristic
329C2×#4314C2311yescharacteristic
330C2×#4313C2311yescharacteristic
331C2×C8×D11C2311yescharacteristic
332C2×C8×D11C2311yescharacteristic
333C2×C8×D11C2311yescharacteristic
334#66951—21no—
335#66951D411yescharacteristic
336#66950—21no—
337#66949—21no—
338#66949—21no—
339#66949—21no—
340#66949D411yescharacteristic
341#66948C2311yescharacteristic
342#66948C2311yescharacteristic
343#66947—21no—
344#66947—21no—
345#66947—21no—
346#66947D411yescharacteristic
347#66946—21no—
348#66945—21no—
349C4⋊C4×D11—21no—
350C4⋊C4×D11—21no—
351C4⋊C4×D11C2311yescharacteristic
352C4⋊C4×D11C2311yescharacteristic
353#66942—21no—
354#66942D411yescharacteristic
355#66941—21no—
356#66941C2311yescharacteristic
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#66938—21no—
372#66938—21no—
373#66938—21no—
374#66938—21no—
375#66938D411yescharacteristic
376#66937—21no—
377#66937—21no—
378#66937—21no—
379#66937—21no—
380#66937—21no—
381#66937D411yescharacteristic
382#66936—21no—
383#66936—21no—
384#66936—21no—
385#66936—21no—
386#66936D411yescharacteristic
387(C22⋊D11)⋊C4—21no—
388(C22⋊D11)⋊C4—21no—
389(C22⋊D11)⋊C4—21no—
390(C22⋊D11)⋊C4—21no—
391(C22⋊D11)⋊C4—21no—
392(C22⋊D11)⋊C4—21no—
393(C22⋊D11)⋊C4—21no—
394(C22⋊D11)⋊C4—21no—
395(C22⋊D11)⋊C4—21no—
396C22⋊C4×D11—21no—
397C22⋊C4×D11—21no—
398#66932—21no—
399#66932D411yescharacteristic
400#66931—21no—
401#66931—21no—
402#66931—21no—
403#66931—21no—
404#66931—21no—
405#66930—21no—
406#66929—21no—
407#66928—21no—
408#66928C2311yescharacteristic
409C4×D44C2311yescharacteristic
410C4×D44C2311yescharacteristic
411C4×D44C2311yescharacteristic
412C4×D44C2311yescharacteristic
413#66925C2311yescharacteristic
414C42×D11—21no—
415C42×D11C2311yescharacteristic
416#66922C2311yescharacteristic
417C4×Dic22—21no—
418C4×Dic22C2311yescharacteristic
419C4×Dic22C2311yescharacteristic
420C4×Dic22C2311yescharacteristic
421C4×Dic22C2311yescharacteristic
422C11×C4⋊C8C2311yescharacteristic
423C11×C4⋊C8C2311yescharacteristic
424C11×#103C2311yescharacteristic
425C11×#103C2311yescharacteristic
426C11×#102C2311yescharacteristic
427C11×#102C2311yescharacteristic
428C11×#102C2311yescharacteristic
429C11×#102C2311yescharacteristic
430C11×#102C2311yescharacteristic
431C11×#102C2311yescharacteristic
432C11×C22⋊C8C2311yescharacteristic
433C11×C22⋊C8C2311yescharacteristic
434C11×#97C2311yescharacteristic
435C4×C8×C11C2311yescharacteristic
436#66899C2311yescharacteristic
437#66899C2311yescharacteristic
438#66899C2311yescharacteristic
439#66899C2311yescharacteristic
440#66896C2311yescharacteristic
441#66896C2311yescharacteristic
442#66896C2311yescharacteristic
443#66896C2311yescharacteristic
444#66896C2311yescharacteristic
445#66896C2311yescharacteristic
446#66896C2311yescharacteristic
447#66896C2311yescharacteristic
448#66885C2311yescharacteristic
449#66885C2311yescharacteristic
450#66885C2311yescharacteristic
451#66885C2311yescharacteristic
452(C2×D11)⋊C8C2311yescharacteristic
453(C2×D11)⋊C8C2311yescharacteristic
454(C2×D11)⋊C8C2311yescharacteristic
455(C2×D11)⋊C8C2311yescharacteristic
456#66882C2311yescharacteristic
457#66882C2311yescharacteristic
458#66882C2311yescharacteristic
459#66882C2311yescharacteristic
460#66880C2311yescharacteristic
461#66880C2311yescharacteristic
462#66880C2311yescharacteristic
463#66880C2311yescharacteristic
464#66879C2311yescharacteristic
465#66879C2311yescharacteristic
466#66879C2311yescharacteristic
467Dic11⋊C8C2311yescharacteristic
468Dic11⋊C8C2311yescharacteristic
469Dic11⋊C8C2311yescharacteristic
470Dic11⋊C8C2311yescharacteristic
471C8×Dic11C2311yescharacteristic
472#66874C2311yescharacteristic
473#66874C2311yescharacteristic
474#66873C2311yescharacteristic
475#66873C2311yescharacteristic
476#66871C2311yescharacteristic
477#66871C2311yescharacteristic
478#66871C2311yescharacteristic
479#66871C2311yescharacteristic
480C4⋊(C11⋊C8)C2311yescharacteristic
481C4⋊(C11⋊C8)C2311yescharacteristic
482C4⋊(C11⋊C8)C2311yescharacteristic
483C4⋊(C11⋊C8)C2311yescharacteristic
484#62022—111nomaximal, Sylow
485C24×C11—21no—
486C23×D11—21no—
487C23×D11—21no—
488C11×#41—41no—
489C11×#41—41no—
490C2×Q8×C11—21no—
491C2×Q8×C11C2411yescharacteristic
492C2×Q8×C11C2411yescharacteristic
493C2×D4×C11—21no—
494C2×D4×C11—21no—
495C2×D4×C11—21no—
496C2×D4×C11—21no—
497C2×D4×C11—21no—
498C2×D4×C11—21no—
499C2×D4×C11—21no—
500C2×D4×C11—41no—
501C2×D4×C11—41no—
502C2×D4×C11C2411yescharacteristic
503C2×D4×C11C2411yescharacteristic
504C2×D4×C11C2411yescharacteristic
505C2×D4×C11C2411yescharacteristic
506C22×C4×C11—21no—
507C22×C4×C11—21no—
508C22×C4×C11C2411yescharacteristic
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⋊D11—82no—
524C2×C22⋊D11C2×D411yescharacteristic
525C2×C22⋊D11C2×D411yescharacteristic
526C22×Dic11—21no—
527C22×Dic11—21no—
528C22×Dic11—21no—
529C22×Dic11—21no—
530C22×Dic11—21no—
531C22×Dic11—21no—
532C22×Dic11—21no—
533#4343—82no—
534Q8×D11—22no—
535Q8×D11—41no—
536Q8×D11—41no—
537Q8×D11—41no—
538#4341—22no—
539#4341—41no—
540#4341—41no—
541#4341—41no—
542#4341—82no—
543#4341—82no—
544D4×D11—41no—
545D4×D11—41no—
546D4×D11—41no—
547D4×D11—41no—
548D4×D11—82no—
549#4339—22no—
550#4339—41no—
551#4339—82no—
552C2×D44—21no—
553C2×D44—21no—
554C2×D44C2×D411yescharacteristic
555C2×D44C2411yescharacteristic
556C2×D44C2411yescharacteristic
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×D11C2×D411yescharacteristic
566C2×C4×D11C2×D411yescharacteristic
567C2×C4×D11C2411yescharacteristic
568C2×C4×D11C2411yescharacteristic
569C2×Dic22—21no—
570C2×Dic22—21no—
571C2×Dic22—21no—
572C2×Dic22—21no—
573C2×Dic22—21no—
574C2×Dic22C2×D411yescharacteristic
575C2×Dic22C2411yescharacteristic
576C2×Dic22C2411yescharacteristic
577C11×Q16—41no—
578C11×SD16—41no—
579C11×SD16—41no—
580C11×SD16—41no—
581C11×SD16—41no—
582C11×D8—41no—
583C11×D8—41no—
584C11×D8—41no—
585C2×C8×C11C2411yescharacteristic
586C2×C8×C11C2411yescharacteristic
587C2×C8×C11C2411yescharacteristic
588C2×C8×C11C2411yescharacteristic
589C11×C4⋊C4—21no—
590C11×C4⋊C4—21no—
591C11×C4⋊C4—21no—
592C11×C4⋊C4C2×D411yescharacteristic
593C11×C4⋊C4C2×D411yescharacteristic
594C11×C4⋊C4C2411yescharacteristic
595C11×C4⋊C4C2411yescharacteristic
596C11×C22⋊C4—21no—
597C11×C22⋊C4—21no—
598C11×C22⋊C4—21no—
599C11×C22⋊C4—21no—
600C11×C22⋊C4—21no—
601C11×C22⋊C4—21no—
602C11×C22⋊C4—21no—
603C11×C22⋊C4—21no—
604C11×C22⋊C4—21no—
605C11×C22⋊C4C2×D411yescharacteristic
606C11×C22⋊C4C2×D411yescharacteristic
607C42×C11—21no—
608C42×C11C2411yescharacteristic
609C42×C11C2411yescharacteristic
610C22⋊Dic11—21no—
611C22⋊Dic11—21no—
612C22⋊Dic11—21no—
613C22⋊Dic11—21no—
614C22⋊Dic11—21no—
615C22⋊Dic11—21no—
616C22⋊Dic11—21no—
617C22⋊Dic11—21no—
618C22⋊Dic11—21no—
619C22⋊Dic11—21no—
620C22⋊Dic11—21no—
621C22⋊Dic11—21no—
622C22⋊Dic11—21no—
623C22⋊Dic11C2×D411yescharacteristic
624C22⋊Dic11C2×D411yescharacteristic
625#4326—22no—
626#4326—41no—
627#4325—41no—
628#4325—41no—
629#4324—22no—
630#4324—22no—
631#4324—22no—
632#4324—41no—
633#4323—41no—
634#4323—41no—
635#4323—41no—
636#4323—41no—
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)⋊C4—21no—
646(C2×D11)⋊C4—21no—
647(C2×D11)⋊C4—21no—
648(C2×D11)⋊C4—21no—
649(C2×D11)⋊C4—21no—
650(C2×D11)⋊C4—21no—
651(C2×D11)⋊C4C2×D411yescharacteristic
652(C2×D11)⋊C4C2×D411yescharacteristic
653(C2×D11)⋊C4C2×D411yescharacteristic
654(C2×D11)⋊C4C2×D411yescharacteristic
655(C2×D11)⋊C4C2×D411yescharacteristic
656(C2×D11)⋊C4C2×D411yescharacteristic
657C4⋊Dic11—21no—
658C4⋊Dic11—21no—
659C4⋊Dic11—21no—
660C4⋊Dic11—21no—
661C4⋊Dic11C2×D411yescharacteristic
662C4⋊Dic11C2×D411yescharacteristic
663C4⋊Dic11C2411yescharacteristic
664C4⋊Dic11C2411yescharacteristic
665C4⋊Dic11C2411yescharacteristic
666C4⋊Dic11C2411yescharacteristic
667Dic11⋊C4—21no—
668Dic11⋊C4—21no—
669Dic11⋊C4—21no—
670Dic11⋊C4—21no—
671Dic11⋊C4—21no—
672Dic11⋊C4—21no—
673Dic11⋊C4—21no—
674Dic11⋊C4—21no—
675Dic11⋊C4—21no—
676Dic11⋊C4—21no—
677Dic11⋊C4—21no—
678Dic11⋊C4—21no—
679Dic11⋊C4C2×D411yescharacteristic
680Dic11⋊C4C2×D411yescharacteristic
681Dic11⋊C4C2×D411yescharacteristic
682Dic11⋊C4C2×D411yescharacteristic
683Dic11⋊C4C2×D411yescharacteristic
684Dic11⋊C4C2×D411yescharacteristic
685C4×Dic11—21no—
686C4×Dic11—21no—
687C4×Dic11—21no—
688C4×Dic11—21no—
689C4×Dic11—21no—
690C4×Dic11—21no—
691C4×Dic11—21no—
692C4×Dic11C2×D411yescharacteristic
693C4×Dic11C2×D411yescharacteristic
694C4×Dic11C2411yescharacteristic
695C4×Dic11C2411yescharacteristic
696#4318—41no—
697C2×C11⋊C8—41no—
698C2×C11⋊C8C2411yescharacteristic
699C2×C11⋊C8C2411yescharacteristic
700C2×C11⋊C8C2411yescharacteristic
701C2×C11⋊C8C2411yescharacteristic
702Dic44—22no—
703D88—41no—
704#4314—22no—
705#4314—41no—
706#4313—41no—
707C8×D11—41no—
708C8×D11—41no—
709C8×D11—41no—
710#3558—111no—
711#3522—111no—
712#3403—111no—
713#3403—111no—
714#3375—111no—
715#3375—111no—
716#3314—111no—
717#3314—111no—
718#3308—111no—
719#3308—111no—
720#3294—111no—
721#3294—111no—
722#3285—111no—
723#3285—111no—
724#3268—111no—
725#3268—111no—
726#3265—111no—
727#3265—111no—
728#3262—111no—
729#3262—111no—
730#3245—111no—
731#3224—111no—
732#3224D1111yescharacteristic, complemented
733#3213—111no—
734#3124—111no—
735#3124—111no—
736#3112—111no—
737#3045—111no—
738#3045—111no—
739C2×#464—111no—
740#2992—111no—
741C23×C11—21no—
742C23×C11—21no—
743C23×C11—21no—
744C23×C11—21no—
745C23×C11—81no—
746C23×C11—81no—
747C23×C11—81no—
748C23×C11C22×D411yescharacteristic
749C22×D11—21no—
750C22×D11—21no—
751C22×D11—42no—
752C22×D11—81no—
753C22×D11—81no—
754C22×D11—81no—
755C22×D11—81no—
756C22×D11—81no—
757C22×D11C22×D411yescharacteristic
758C22×D11C22×D411yescharacteristic
759Q8×C11—21no—
760Q8×C11—21no—
761Q8×C11—21no—
762Q8×C11—21no—
763Q8×C11—81no—
764D4×C11—21no—
765D4×C11—21no—
766D4×C11—21no—
767D4×C11—21no—
768D4×C11—21no—
769D4×C11—21no—
770D4×C11—21no—
771D4×C11—21no—
772D4×C11—81no—
773D4×C11—81no—
774D4×C11—81no—
775D4×C11—81no—
776D4×C11—81no—
777D4×C11—81no—
778D4×C11—81no—
779C2×C4×C11—21no—
780C2×C4×C11—21no—
781C2×C4×C11—21no—
782C2×C4×C11—21no—
783C2×C4×C11—21no—
784C2×C4×C11—21no—
785C2×C4×C11—81no—
786C2×C4×C11—81no—
787C2×C4×C11C22×D411yescharacteristic
788C2×C4×C11C22×D411yescharacteristic
789C2×C4×C11C22×D411yescharacteristic
790C2×C4×C11C22×D411yescharacteristic
791C2×C4×C11C22×D411yescharacteristic
792C2×C4×C11C2511yescharacteristic
793C22⋊D11—22no—
794C22⋊D11—41no—
795C22⋊D11—42no—
796C22⋊D11—42no—
797C22⋊D11—42no—
798C22⋊D11—42no—
799C22⋊D11—42no—
800C22⋊D11—42no—
801C22⋊D11—81no—
802C22⋊D11—81no—
803C22⋊D11—81no—
804C22⋊D11—81no—
805C22⋊D11—81no—
806C22⋊D11—81no—
807C22⋊D11—81no—
808C22⋊D11—81no—
809C2×Dic11—21no—
810C2×Dic11—21no—
811C2×Dic11—21no—
812C2×Dic11—21no—
813C2×Dic11—21no—
814C2×Dic11—21no—
815C2×Dic11—42no—
816C2×Dic11—81no—
817C2×Dic11—81no—
818C2×Dic11—81no—
819C2×Dic11—81no—
820C2×Dic11—81no—
821C2×Dic11—81no—
822C2×Dic11C22×D411yescharacteristic
823C2×Dic11C22×D411yescharacteristic
824C2×Dic11C22×D411yescharacteristic
825C2×Dic11C22×D411yescharacteristic
826C2×Dic11C22×D411yescharacteristic
827C2×Dic11C22×D411yescharacteristic
828D44—22no—
829D44—21no—
830D44—21no—
831D44—21no—
832D44—21no—
833D44—42no—
834D44—81no—
835C4×D11—22no—
836C4×D11—21no—
837C4×D11—21no—
838C4×D11—21no—
839C4×D11—21no—
840C4×D11—41no—
841C4×D11—42no—
842C4×D11—42no—
843C4×D11—42no—
844C4×D11—81no—
845C4×D11—81no—
846C4×D11—81no—
847C4×D11—81no—
848C4×D11—81no—
849Dic22—21no—
850Dic22—21no—
851Dic22—21no—
852Dic22—41no—
853Dic22—42no—
854Dic22—81no—
855Dic22—81no—
856Dic22—81no—
857Dic22—81no—
858Dic22H(5,𝔽2)12yes—
859C8×C11—21no—
860C8×C11—21no—
861C8×C11—21no—
862C8×C11—21no—
863C11⋊C8—21no—
864C11⋊C8—21no—
865C11⋊C8—21no—
866C11⋊C8—21no—
867C2×AGL(1,ℤ/8)—111no—
868C2×AGL(1,ℤ/8)—111no—
869C2×#135—111no—
870C2×#135—111no—
871C22×Q16—111no—
872C22×SD16—111no—
873#562—221no—
874H(3,𝔽4)—221no—
875#559—111no—
876#559—111no—
877#559—111no—
878#559—221no—
879Q82—111no—
880#554—111no—
881#554—221no—
882#550—111no—
883#548—111no—
884#548—111no—
885#548—111no—
886#548—111no—
887#547—111no—
888#547—111no—
889#547—221no—
890#547—221no—
891#546—111no—
892#546—111no—
893#546—221no—
894#546—221no—
895D42—111no—
896D42—111no—
897#542—111no—
898#542—111no—
899#542—111no—
900#542—221no—
901#542—221no—
902#542C2×D1111yescharacteristic, complemented
903#538—221no—
904#538—221no—
905#538—221no—
906#535—111no—
907#535C2×D1111yescharacteristic
908#534—221no—
909#532—111no—
910#532—111no—
911#532—221no—
912#529—111no—
913#529—221no—
914C2×#124—111no—
915#520—111no—
916#520—111no—
917C2×C4×Q8—111no—
918#496—111no—
919#496—111no—
920#496—111no—
921#496C2×D1111yescharacteristic
922#495—111no—
923#495C2×D1111yescharacteristic, complemented
924#489—111no—
925#489—111no—
926#489—111no—
927#489C2×D1111yescharacteristic, complemented
928#486—111no—
929#486C2×D1111yescharacteristic
930#484—111no—
931#484—111no—
932#480—111no—
933#480—111no—
934#480—111no—
935#480—111no—
936#477—111no—
937#477—111no—
938#477—111no—
939#477—111no—
940#474—111no—
941#474—111no—
942#474—111no—
943#474—111no—
944#474—111no—
945#474—111no—
946#468—111no—
947#468—111no—
948#468—111no—
949#468—111no—
950#467—111no—
951#467—111no—
952#466—111no—
953#466—111no—
954#466—111no—
955#466—111no—
956#466—111no—
957#466—111no—
958#464—111no—
959#464—111no—
960#464—111no—
961#464—111no—
962#464—111no—
963#464—111no—
964#464—111no—
965#464—111no—
966#464—111no—
967#464—111no—
968#464—111no—
969#464C2×D1111yescharacteristic, complemented
970#463—111no—
971#463—111no—
972#463—111no—
973#463—111no—
974#463—111no—
975#463—111no—
976#463—111no—
977#463C2×D1111yescharacteristic, complemented
978#460—111no—
979#460—111no—
980#460—111no—
981#460C2×D1111yescharacteristic, complemented
982#459—111no—
983#459—111no—
984#459—111no—
985#459—111no—
986#459—111no—
987#459C2×D1111yescharacteristic, complemented
988#452—111no—
989#452—111no—
990#452—111no—
991#452C2×D1111yescharacteristic, complemented
992#450—111no—
993#450C2×D1111yescharacteristic, complemented
994#449—111no—
995#449—111no—
996#449—111no—
997#449C2×D1111yescharacteristic, complemented
998#448—111no—
999#448—111no—
1000#448—111no—
1001#448—111no—
1002#447—111no—
1003#447—111no—
1004#447—111no—
1005#447C2×D1111yescharacteristic, complemented
1006#446—111no—
1007#446—111no—
1008#440—111no—
1009#440—111no—
1010#440—111no—
1011#440—111no—
1012#440—111no—
1013#440—111no—
1014#440—111no—
1015#440—111no—
1016C4×Q16—111no—
1017C4×Q16—111no—
1018C4×D8—111no—
1019C4×D8—111no—
1020#435—111no—
1021#435—111no—
1022#435—111no—
1023#435—111no—
1024C8×D4—111no—
1025C8×D4—111no—
1026#433—111no—
1027#433C2×D1111yescharacteristic, complemented
1028#432—111no—
1029#424—111no—
1030#424—111no—
1031C2×C4⋊C8—111no—
1032#417—111no—
1033#417—111no—
1034C2×#103—111no—
1035C2×#102—111no—
1036C2×#102—111no—
1037C2×#102—111no—
1038C22×C11—21no—
1039C22×C11—21no—
1040C22×C11—21no—
1041C22×C11—41no—
1042C22×C11—41no—
1043C22×C11—41no—
1044C22×C11—41no—
1045C22×C11—41no—
1046C22×C11—41no—
1047C22×C11—41no—
1048C22×C11—41no—
1049C22×C11—41no—
1050C22×C11—41no—
1051C22×C11—41no—
1052C22×C11—41no—
1053C22×C11—162no—
1054C22×C11C23×D411yescharacteristic
1055C2×D11—21no—
1056C2×D11—21no—
1057C2×D11—21no—
1058C2×D11—21no—
1059C2×D11—21no—
1060C2×D11—41no—
1061C2×D11—41no—
1062C2×D11—41no—
1063C2×D11—41no—
1064C2×D11—41no—
1065C2×D11—41no—
1066C2×D11—162no—
1067C2×D11—162no—
1068C2×D11#57612yes—
1069C4×C11—21no—
1070C4×C11—21no—
1071C4×C11—21no—
1072C4×C11—21no—
1073C4×C11—21no—
1074C4×C11—41no—
1075C4×C11—41no—
1076C4×C11—41no—
1077C4×C11—41no—
1078C4×C11C2×H(5,𝔽2)11yescharacteristic
1079C4×C11#58511yescharacteristic
1080Dic11—21no—
1081Dic11—21no—
1082Dic11—22no—
1083Dic11—21no—
1084Dic11—21no—
1085Dic11—21no—
1086Dic11—21no—
1087Dic11—41no—
1088Dic11—41no—
1089Dic11—41no—
1090Dic11—41no—
1091Dic11—41no—
1092C2×#41—111no—
1093C2×#41—111no—
1094C2×#41—111no—
1095C2×#41—221no—
1096C2×#41—221no—
1097C2×#41—221no—
1098C2×#41—221no—
1099C2×#41C22×D1111yescharacteristic
1100C22×Q8—111no—
1101C22×Q8—111no—
1102C22×D4—111no—
1103C22×D4—111no—
1104C22×D4—221no—
1105C22×D4—221no—
1106C22×D4C22×D1111yescharacteristic
1107AGL(1,ℤ/8)—442no—
1108AGL(1,ℤ/8)—442no—
1109#135—442no—
1110#135—442no—
1111C2×Q16—111no—
1112C2×Q16—111no—
1113C2×Q16—111no—
1114C2×Q16—442no—
1115C2×Q16C22×D1111yescharacteristic
1116C2×SD16—111no—
1117C2×SD16—111no—
1118C2×SD16—111no—
1119C2×SD16—111no—
1120C2×SD16—111no—
1121C2×SD16—111no—
1122C2×SD16—111no—
1123C2×SD16—111no—
1124C2×SD16—442no—
1125C2×SD16C22×D1111yescharacteristic
1126C2×SD16C22×D1111yescharacteristic
1127C2×SD16C22×D1111yescharacteristic
1128C2×SD16C22×D1111yescharacteristic
1129C2×D8—111no—
1130C2×D8—111no—
1131C2×D8—111no—
1132C2×D8—111no—
1133C2×D8—111no—
1134C2×D8C22×D1111yescharacteristic
1135C2×D8C22×D1111yescharacteristic
1136C2×D8C22×D1111yescharacteristic
1137C2×M16—111no—
1138C2×M16—111no—
1139C22×C8—111no—
1140C22×C8—111no—
1141C22×C8—111no—
1142C22×C8—111no—
1143C4⋊Q8—111no—
1144C4⋊Q8—111no—
1145C4⋊Q8—111no—
1146C4⋊Q8—221no—
1147C4⋊Q8—221no—
1148C4⋊Q8—221no—
1149C4⋊Q8C22×D1111yescharacteristic
1150#127—111no—
1151#127—111no—
1152#127—221no—
1153#127C22×D1111yescharacteristic
1154#127C22×D1111yescharacteristic
1155#126—21no—
1156#126—111no—
1157#126—111no—
1158#126—221no—
1159#126—221no—
1160#126—221no—
1161#125—111no—
1162#125—221no—
1163#124—21no—
1164#124—111no—
1165#124—111no—
1166#124—111no—
1167#124—111no—
1168#124—111no—
1169#124—111no—
1170#124—221no—
1171#124—221no—
1172#124—221no—
1173#124—221no—
1174#124—221no—
1175#124—221no—
1176#124—221no—
1177#124—221no—
1178#124—221no—
1179#124—221no—
1180#124—221no—
1181#124—221no—
1182#124—221no—
1183#124—221no—
1184#124C22×D1111yescharacteristic
1185#124C22×D1111yescharacteristic
1186#124C22×D1111yescharacteristic
1187#123—21no—
1188#123—111no—
1189#123—111no—
1190#123—221no—
1191#123—221no—
1192#123—221no—
1193#123—221no—
1194#123—221no—
1195#123—221no—
1196#123—221no—
1197#123—221no—
1198#123—221no—
1199#123—221no—
1200#123—221no—
1201#123—221no—
1202#123—221no—
1203#123—221no—
1204#123—221no—
1205C22⋊Q8—21no—
1206C22⋊Q8—111no—
1207C22⋊Q8—111no—
1208C22⋊Q8—111no—
1209C22⋊Q8—111no—
1210C22⋊Q8—221no—
1211C22⋊Q8—221no—
1212C22⋊Q8—221no—
1213C22⋊Q8—221no—
1214C22⋊Q8—221no—
1215C22⋊Q8—221no—
1216C22⋊Q8—221no—
1217C22⋊Q8—221no—
1218C22⋊Q8—221no—
1219C22⋊Q8—221no—
1220C22⋊Q8—221no—
1221C22⋊Q8C22×D1111yescharacteristic
1222#121—21no—
1223#121—21no—
1224#121—111no—
1225#121—111no—
1226#121—111no—
1227#121—111no—
1228#121—111no—
1229#121—111no—
1230#121—111no—
1231#121—111no—
1232#121—221no—
1233#121—221no—
1234#121—221no—
1235#121—221no—
1236#121—221no—
1237#121—221no—
1238#121—221no—
1239#121—221no—
1240#121—221no—
1241#121—221no—
1242#121—221no—
1243#121—221no—
1244#121—221no—
1245#121—221no—
1246#121C22×D1111yescharacteristic
1247#120—21no—
1248#120—21no—
1249#120—221no—
1250#120—221no—
1251#120—221no—
1252#120—221no—
1253#120—221no—
1254#120—221no—
1255#120—221no—
1256#120—221no—
1257C4×Q8—111no—
1258C4×Q8—111no—
1259C4×Q8—111no—
1260C4×Q8—111no—
1261C4×Q8—111no—
1262C4×Q8—111no—
1263C4×Q8—111no—
1264C4×Q8—111no—
1265C4×Q8—221no—
1266C4×Q8—221no—
1267C4×Q8—221no—
1268C4×Q8C22×D1111yescharacteristic
1269C4×D4—111no—
1270C4×D4—111no—
1271C4×D4—111no—
1272C4×D4—111no—
1273C4×D4—111no—
1274C4×D4—111no—
1275C4×D4—111no—
1276C4×D4—111no—
1277C4×D4—111no—
1278C4×D4—111no—
1279C4×D4—221no—
1280C4×D4—221no—
1281C4×D4—221no—
1282C4×D4—221no—
1283C4×D4—221no—
1284C4×D4—221no—
1285C4×D4—221no—
1286C4×D4—221no—
1287C4×D4—221no—
1288C4×D4—221no—
1289C4×D4—221no—
1290C4×D4—221no—
1291C4×D4—221no—
1292C4×D4—221no—
1293C4×D4—221no—
1294C4×D4C22×D1111yescharacteristic
1295#117—111no—
1296#117—221no—
1297#117—221no—
1298#117C22×D1111yescharacteristic
1299C2×C4⋊C4—111no—
1300C2×C4⋊C4—111no—
1301C2×C4⋊C4—111no—
1302C2×C4⋊C4—221no—
1303C2×C4⋊C4—221no—
1304C2×C4⋊C4—221no—
1305C2×C22⋊C4—221no—
1306C2×C22⋊C4—221no—
1307C2×C22⋊C4—221no—
1308C2×C22⋊C4—221no—
1309C2×C42—111no—
1310C2×C42—221no—
1311#107—111no—
1312#107—111no—
1313#107—111no—
1314#107—111no—
1315#107—111no—
1316#107—111no—
1317#107—111no—
1318#107—111no—
1319C4⋊C8—111no—
1320C4⋊C8—111no—
1321C4⋊C8—111no—
1322C4⋊C8—111no—
1323C4⋊C8—111no—
1324C4⋊C8—111no—
1325C4⋊C8—111no—
1326C4⋊C8—111no—
1327C4⋊C8C22×D1111yescharacteristic
1328C4⋊C8C22×D1111yescharacteristic
1329#103—111no—
1330#103—111no—
1331#103—111no—
1332#103—111no—
1333#103—111no—
1334#103—111no—
1335#103—111no—
1336#103—111no—
1337#103—111no—
1338#103—111no—
1339#103C22×D1111yescharacteristic
1340#103C22×D1111yescharacteristic
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#102—111no—
1350#102—111no—
1351#102—111no—
1352#102—111no—
1353#102—111no—
1354#102—111no—
1355#102C22×D1111yescharacteristic
1356#102C22×D1111yescharacteristic
1357#102C22×D1111yescharacteristic
1358#102C22×D1111yescharacteristic
1359#102C22×D1111yescharacteristic
1360#102C22×D1111yescharacteristic
1361C22⋊C8—111no—
1362C22⋊C8—111no—
1363C22⋊C8—111no—
1364C22⋊C8—111no—
1365C22⋊C8C22×D1111yescharacteristic
1366C22⋊C8C22×D1111yescharacteristic
1367#97—111no—
1368#97—111no—
1369#97—111no—
1370#97C22×D1111yescharacteristic
1371C4×C8—111no—
1372C4×C8C22×D1111yescharacteristic
1373C2×C11—41no—
1374C2×C11—81no—
1375C2×C11—81no—
1376C2×C11—81no—
1377C2×C11—81no—
1378C2×C11#348811yescharacteristic
1379C2×C11C2×#57611yescharacteristic
1380C2×C11#358611yescharacteristic
1381D11—22no—
1382D11—41no—
1383D11—81no—
1384D11—81no—
1385C24—21no—
1386C24—221no—
1387C24—221no—
1388#41—41no—
1389#41—41no—
1390#41—222no—
1391#41—222no—
1392#41—441no—
1393#41—441no—
1394#41—441no—
1395#41—441no—
1396#41—882no—
1397#41—882no—
1398#41—882no—
1399#41—882no—
1400C2×Q8—21no—
1401C2×Q8—111no—
1402C2×Q8—111no—
1403C2×Q8—111no—
1404C2×Q8—221no—
1405C2×Q8—221no—
1406C2×Q8—221no—
1407C2×Q8—221no—
1408C2×Q8—221no—
1409C2×Q8—222no—
1410C2×Q8—441no—
1411C2×Q8—441no—
1412C2×Q8—441no—
1413C2×Q8C23×D1111yescharacteristic
1414C2×Q8C23×D1111yescharacteristic
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—21no—
1419C2×D4—21no—
1420C2×D4—21no—
1421C2×D4—21no—
1422C2×D4—41no—
1423C2×D4—41no—
1424C2×D4—111no—
1425C2×D4—111no—
1426C2×D4—111no—
1427C2×D4—111no—
1428C2×D4—111no—
1429C2×D4—221no—
1430C2×D4—221no—
1431C2×D4—221no—
1432C2×D4—221no—
1433C2×D4—221no—
1434C2×D4—221no—
1435C2×D4—221no—
1436C2×D4—221no—
1437C2×D4—221no—
1438C2×D4—221no—
1439C2×D4—221no—
1440C2×D4—221no—
1441C2×D4—221no—
1442C2×D4—221no—
1443C2×D4—221no—
1444C2×D4—221no—
1445C2×D4—441no—
1446C2×D4—441no—
1447C2×D4—441no—
1448C2×D4—441no—
1449C2×D4—882no—
1450C2×D4—882no—
1451C2×D4C23×D1111yescharacteristic
1452C2×D4C23×D1111yescharacteristic
1453C2×D4C23×D1111yescharacteristic
1454C2×D4C23×D1111yescharacteristic
1455C22×C4—21no—
1456C22×C4—21no—
1457C22×C4—111no—
1458C22×C4—111no—
1459C22×C4—111no—
1460C22×C4—111no—
1461C22×C4—221no—
1462C22×C4—221no—
1463C22×C4—221no—
1464C22×C4—221no—
1465C22×C4—221no—
1466C22×C4—221no—
1467C22×C4—221no—
1468C22×C4—221no—
1469C22×C4—221no—
1470C22×C4—221no—
1471C22×C4—221no—
1472C22×C4—221no—
1473C22×C4—221no—
1474C22×C4—221no—
1475C22×C4—221no—
1476C22×C4C23×D1111yescharacteristic
1477Q16—41no—
1478Q16—222no—
1479Q16—222no—
1480Q16—441no—
1481SD16—41no—
1482SD16—41no—
1483SD16—41no—
1484SD16—41no—
1485SD16—222no—
1486SD16—222no—
1487SD16—222no—
1488SD16—222no—
1489SD16—441no—
1490SD16—441no—
1491SD16—441no—
1492SD16—441no—
1493D8—41no—
1494D8—41no—
1495D8—41no—
1496D8—441no—
1497D8—441no—
1498D8—441no—
1499D8—441no—
1500D8—441no—
1501M16—441no—
1502M16—441no—
1503C2×C8—111no—
1504C2×C8—111no—
1505C2×C8—111no—
1506C2×C8—111no—
1507C2×C8—441no—
1508C2×C8—441no—
1509C2×C8—441no—
1510C2×C8—441no—
1511C2×C8C23×D1111yescharacteristic
1512C2×C8C23×D1111yescharacteristic
1513C2×C8C23×D1111yescharacteristic
1514C2×C8C23×D1111yescharacteristic
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—111no—
1519C4⋊C4—111no—
1520C4⋊C4—111no—
1521C4⋊C4—111no—
1522C4⋊C4—111no—
1523C4⋊C4—111no—
1524C4⋊C4—111no—
1525C4⋊C4—111no—
1526C4⋊C4—111no—
1527C4⋊C4—111no—
1528C4⋊C4—111no—
1529C4⋊C4—111no—
1530C4⋊C4—221no—
1531C4⋊C4—221no—
1532C4⋊C4—221no—
1533C4⋊C4—221no—
1534C4⋊C4—221no—
1535C4⋊C4—221no—
1536C4⋊C4—221no—
1537C4⋊C4—221no—
1538C4⋊C4—221no—
1539C4⋊C4—221no—
1540C4⋊C4—221no—
1541C4⋊C4—221no—
1542C4⋊C4—221no—
1543C4⋊C4—221no—
1544C4⋊C4—221no—
1545C4⋊C4—221no—
1546C4⋊C4D4×D1111yescharacteristic
1547C4⋊C4D4×D1111yescharacteristic
1548C4⋊C4C23×D1111yescharacteristic
1549C4⋊C4C23×D1111yescharacteristic
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—111no—
1560C22⋊C4—111no—
1561C22⋊C4—111no—
1562C22⋊C4—111no—
1563C22⋊C4—111no—
1564C22⋊C4—111no—
1565C22⋊C4—111no—
1566C22⋊C4—111no—
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—
1583C22⋊C4—221no—
1584C22⋊C4—221no—
1585C22⋊C4—221no—
1586C22⋊C4—221no—
1587C22⋊C4—221no—
1588C22⋊C4—221no—
1589C22⋊C4—221no—
1590C22⋊C4—221no—
1591C22⋊C4—221no—
1592C22⋊C4—221no—
1593C22⋊C4—221no—
1594C22⋊C4D4×D1111yescharacteristic
1595C22⋊C4D4×D1111yescharacteristic
1596C42—21no—
1597C42—111no—
1598C42—111no—
1599C42—111no—
1600C42—111no—
1601C42—221no—
1602C42—221no—
1603C42—221no—
1604C42—221no—
1605C42—221no—
1606C42—221no—
1607C42—221no—
1608C42C23×D1111yescharacteristic
1609C42C23×D1111yescharacteristic
1610C11#6202211yescharacteristic, complemented, Sylow
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—81no—
1616C23—81no—
1617C23—81no—
1618C23—111no—
1619C23—111no—
1620C23—221no—
1621C23—221no—
1622C23—442no—
1623C23—881no—
1624C23—881no—
1625C23—881no—
1626C23—881no—
1627C23—881no—
1628C23C2×D4×D1111yescharacteristic
1629Q8—21no—
1630Q8—21no—
1631Q8—21no—
1632Q8—21no—
1633Q8—81no—
1634Q8—112no—
1635Q8—221no—
1636Q8—221no—
1637Q8—221no—
1638Q8—441no—
1639Q8—442no—
1640Q8—881no—
1641Q8—881no—
1642Q8—881no—
1643Q8—881no—
1644D4—21no—
1645D4—21no—
1646D4—21no—
1647D4—21no—
1648D4—21no—
1649D4—21no—
1650D4—21no—
1651D4—21no—
1652D4—81no—
1653D4—81no—
1654D4—81no—
1655D4—81no—
1656D4—81no—
1657D4—81no—
1658D4—81no—
1659D4—222no—
1660D4—222no—
1661D4—221no—
1662D4—221no—
1663D4—221no—
1664D4—221no—
1665D4—442no—
1666D4—441no—
1667D4—442no—
1668D4—442no—
1669D4—442no—
1670D4—442no—
1671D4—442no—
1672D4—442no—
1673D4—881no—
1674D4—881no—
1675D4—881no—
1676D4—881no—
1677D4—881no—
1678D4—881no—
1679D4—881no—
1680D4—881no—
1681D4—881no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—81no—
1689C2×C4—81no—
1690C2×C4—111no—
1691C2×C4—111no—
1692C2×C4—111no—
1693C2×C4—111no—
1694C2×C4—111no—
1695C2×C4—111no—
1696C2×C4—222no—
1697C2×C4—221no—
1698C2×C4—221no—
1699C2×C4—221no—
1700C2×C4—221no—
1701C2×C4—221no—
1702C2×C4—221no—
1703C2×C4—221no—
1704C2×C4—221no—
1705C2×C4—221no—
1706C2×C4—221no—
1707C2×C4—441no—
1708C2×C4—442no—
1709C2×C4—442no—
1710C2×C4—442no—
1711C2×C4—442no—
1712C2×C4—881no—
1713C2×C4—881no—
1714C2×C4—881no—
1715C2×C4—881no—
1716C2×C4—881no—
1717C2×C4—881no—
1718C2×C4—881no—
1719C2×C4—881no—
1720C2×C4—881no—
1721C2×C4—881no—
1722C2×C4—881no—
1723C2×C4C2×D4×D1111yescharacteristic
1724C2×C4C2×D4×D1111yescharacteristic
1725C2×C4C2×D4×D1111yescharacteristic
1726C2×C4C2×D4×D1111yescharacteristic
1727C2×C4C2×D4×D1111yescharacteristic
1728C2×C4C24×D1111yescharacteristic
1729C8—21no—
1730C8—21no—
1731C8—21no—
1732C8—21no—
1733C8—221no—
1734C8—221no—
1735C8—221no—
1736C8—221no—
1737C22—21no—
1738C22—21no—
1739C22—21no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—112no—
1753C22—162no—
1754C22—221no—
1755C22—221no—
1756C22—221no—
1757C22—221no—
1758C22—221no—
1759C22—441no—
1760C22—441no—
1761C22—441no—
1762C22—441no—
1763C22—441no—
1764C22—441no—
1765C22—1762no—
1766C22—1762no—
1767C22C22×D4×D1111yescharacteristic
1768C4—21no—
1769C4—21no—
1770C4—21no—
1771C4—21no—
1772C4—21no—
1773C4—41no—
1774C4—41no—
1775C4—41no—
1776C4—41no—
1777C4—221no—
1778C4—221no—
1779C4—221no—
1780C4—221no—
1781C4—222no—
1782C4—221no—
1783C4—221no—
1784C4—441no—
1785C4—441no—
1786C4—441no—
1787C4—441no—
1788C4—441no—
1789C4D11×H(5,𝔽2)11yescharacteristic
1790C4#1062345511yescharacteristic
1791C2—41no—
1792C2—81no—
1793C2—81no—
1794C2—81no—
1795C2—81no—
1796C2—222no—
1797C2—441no—
1798C2—881no—
1799C2—881no—
1800C2#1308228311yescharacteristic
1801C2D11×#57611yescharacteristic
1802C2#1308339811yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3224C2
socleC22×C11C23×D4
hypercenter#3224D11
hypocenterC11#62022
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ #117 ◁ #3224

Complements

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

NH ≅ G/Ntype
1. #13083134C2semidirect
2. #13082697C2semidirect
3. #13081707C2semidirect
4. #13081701C2semidirect
5. #13081435C2semidirect
6. #13081427C2semidirect
7. #13080701C2semidirect
8. #13080690C2semidirect
9. #13080606C2semidirect
10. #13080600C2semidirect
11. #13080428C2semidirect
12. #13080422C2semidirect
13. #13080356C2semidirect
14. #13080355C2semidirect
15. #13080160C2semidirect
16. #13080154C2semidirect
17. #13080110C2semidirect
18. #13080109C2semidirect
19. #13080075C2semidirect
20. #13080072C2semidirect
21. #13079924C2semidirect
22. #13079715C2semidirect
23. #13079601C2semidirect
24. #13078880C2semidirect
25. #13078875C2semidirect
26. #13078737C2semidirect
27. #13078151C2semidirect
28. #13078150C2semidirect
29. D11×#464C2semidirect
30. #13077750C2semidirect
31. C11×#3224C2semidirect
32. C11×#542C22semidirect
36. C2×#67003C22semidirect
39. C2×#66985C22semidirect
40. C2×Q16×D11C22semidirect
42. C2×#66965C22semidirect
43. C2×#66964C22semidirect
44. #10623257C22semidirect
45. #10623253C22semidirect
54. #10623212C22semidirect
56. #10623208C22semidirect
63. #10623166C22semidirect
64. #10623164C22semidirect
69. #10623142C22semidirect
71. #10623130C22semidirect
76. #10623113C22semidirect
77. C4×Q8×D11C22semidirect
78. #10623079C22semidirect
79. #10623077C22semidirect
82. #10623054C22semidirect
84. C11×#495C22semidirect
85. C11×#489C22semidirect
87. C11×#464C22semidirect
88. C11×#463C22semidirect
89. C11×#460C22semidirect
90. C11×#459C22semidirect
91. C11×#452C22semidirect
92. C11×#450C22semidirect
93. C11×#449C22semidirect
94. C11×#447C22semidirect
95. C11×#433C22semidirect
96. #10622845C22semidirect
97. C2×#66896C22semidirect
98. #10622801C22semidirect
99. #10622798C22semidirect
100. #10622798C22semidirect
102. #10622789C22semidirect
104. #10622786C22semidirect
105. #10622786C22semidirect
106. #10622783C22semidirect
107. #10622783C22semidirect
108. #10622783C22semidirect
109. #10622782C22semidirect
110. #10622781C22semidirect
111. #10622779C22semidirect
112. #10622778C22semidirect
113. #10622777C22semidirect
114. #10622777C22semidirect
115. #10622777C22semidirect
117. #10622770C22semidirect
118. #10622770C22semidirect
120. #10622767C22semidirect
121. #10622766C22semidirect
123. #10622763C22semidirect
124. #10622763C22semidirect
125. D8×Dic11C22semidirect
126. #10622704C22semidirect
127. #10622700C22semidirect
129. #10622688C22semidirect
131. #10622685C22semidirect
132. #10622670C22semidirect
133. #10622670C22semidirect
134. #10622670C22semidirect
135. #10622667C22semidirect
136. #10622667C22semidirect
137. #10622667C22semidirect
138. #10622664C22semidirect
140. #10622655C22semidirect
142. #10622641C22semidirect
143. #10622634C22semidirect
144. #10622629C22semidirect
145. #10622620C22semidirect
146. #10622612C22semidirect
147. #10622463C22semidirect
148. #10622459C22semidirect
149. #10622458C22semidirect
150. #10622457C22semidirect
151. #10622453C22semidirect
152. #10622452C22semidirect
153. #10622448C22semidirect
154. D11×C4⋊C8C22semidirect
155. #10622425C22semidirect
156. #10622422C22semidirect
157. #10622419C22semidirect
158. D11×#103C22semidirect
159. #10622411C22semidirect
160. #10622408C22semidirect
161. #10622407C22semidirect
162. #10622403C22semidirect
163. #10622394C22semidirect
165. #10622388C22semidirect
166. #10622388C22semidirect
168. #10622387C22semidirect
169. #10622387C22semidirect
171. #10622386C22semidirect
172. #10622384C22semidirect
174. D11×#102C22semidirect
175. #10622380C22semidirect
176. #10622380C22semidirect
177. #10622378C22semidirect
178. #10622378C22semidirect
181. #10622372C22semidirect
182. #10622372C22semidirect
183. #10622372C22semidirect
184. #10622370C22semidirect
185. #10622370C22semidirect
186. #10622370C22semidirect
189. #10622346C22semidirect
190. #10622343C22semidirect
191. #10622341C22semidirect
192. #10622341C22semidirect
193. (C22⋊D11)⋊C8C22semidirect
194. #10622335C22semidirect
195. #10622323C22semidirect
196. #10622323C22semidirect
197. #10622319C22semidirect
198. #10622314C22semidirect
199. C4×Dic44C22semidirect
200. C4×D88C22semidirect
201. C8×D44C22semidirect
202. #10622292C22semidirect
732. #3224D11semidirect
902. #542C2×D11semidirect
923. #495C2×D11semidirect
927. #489C2×D11semidirect
969. #464C2×D11semidirect
977. #463C2×D11semidirect
981. #460C2×D11semidirect
987. #459C2×D11semidirect
991. #452C2×D11semidirect
993. #450C2×D11semidirect
997. #449C2×D11semidirect
1005. #447C2×D11semidirect
1027. #433C2×D11semidirect
1610. C11#62022semidirect

Maximal subgroups

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

subgroupindex
#130831342
#130826972
#130817072
#130817012
#130814352
#130814272
#130807012
#130806902
#130806062
#130806002
#130804282
#130804222
#130803562
#130803552
#130801602
#130801542
#130801102
#130801092
#130800752
#130800722
#130799242
#130797152
#130796012
#130788802
#130788752
#130787372
#130781512
#130781502
D11×#4642
#130777502
C11×#32242
#6202211