Finite Group Databasebeta

← #15647426

Subgroups — #15647426

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#13083130C211yesmaximal, characteristic, complemented
2#13082694C211yesmaximal, characteristic, complemented
3#13081702C211yesmaximal, characteristic, complemented
4#13081699C211yesmaximal, characteristic, complemented
5#13081435C211yesmaximal, characteristic, complemented
6#13081433C211yesmaximal, characteristic, complemented
7#13080700C211yesmaximal, characteristic, complemented
8#13080693C211yesmaximal, characteristic, complemented
9#13080605C211yesmaximal, characteristic, complemented
10#13080601C211yesmaximal, characteristic, complemented
11#13080425C211yesmaximal, characteristic, complemented
12#13080359C211yesmaximal, characteristic, complemented
13#13080354C211yesmaximal, characteristic, complemented
14#13080154C211yesmaximal, characteristic, complemented
15#13080153C211yesmaximal, characteristic, complemented
16#13080115C211yesmaximal, characteristic, complemented
17#13080107C211yesmaximal, characteristic, complemented
18#13080076C211yesmaximal, characteristic, complemented
19#13080071C211yesmaximal, characteristic, complemented
20#13079922C211yesmaximal, characteristic, complemented
21#13079713C211yesmaximal, characteristic, complemented
22#13079706C211yesmaximal, characteristic, complemented
23#13079600C211yesmaximal, characteristic, complemented
24#13078874C211yesmaximal, characteristic, complemented
25#13078873C211yesmaximal, characteristic, complemented
26#13078735C211yesmaximal, characteristic, complemented
27#13078160C211yesmaximal, characteristic, complemented
28#13078150C211yesmaximal, characteristic, complemented
29C2×#10622380C211yesmaximal, characteristic, complemented
30#13077749C211yesmaximal, characteristic, complemented
31C11×#3294C211yesmaximal, characteristic, complemented
32C11×#547C2211yescharacteristic, complemented
33D42×C11C2211yescharacteristic
34#10623363—21no—
35#10623355—21no—
36#10623337—21no—
37#10623337C2211yescharacteristic
38#10623336C2211yescharacteristic
39#10623335—21no—
40D4×C22⋊D11C2211yescharacteristic
41C2×#66989C2211yescharacteristic
42C22×#4324C2211yescharacteristic
43C2×#66985C2211yescharacteristic, complemented
44C2×#66965C2211yescharacteristic, complemented
45C2×#66964C2211yescharacteristic, complemented
46C22×Dic44C2211yescharacteristic, complemented
47C2×#66957C2211yescharacteristic, complemented
48#10623264C2211yescharacteristic, complemented
49#10623253C2211yescharacteristic, complemented
50#10623246C2211yescharacteristic
51#10623244C2211yescharacteristic
52#10623195—21no—
53#10623193—21no—
54#10623186—21no—
55#10623180—21no—
56#10623171—21no—
57#10623167—21no—
58#10623152—21no—
59#10623144—21no—
60#10623143C2211yescharacteristic
61#10623134C2211yescharacteristic
62#10623134C2211yescharacteristic, complemented
63#10623130C2211yescharacteristic, complemented
64#10623129C2211yescharacteristic
65#10623129C2211yescharacteristic, complemented
66#10623127C2211yescharacteristic
67#10623127C2211yescharacteristic, complemented
68#10623125—21no—
69#10623124—21no—
70#10623124—21no—
71#10623122—21no—
72#10623092C2211yescharacteristic
73#10623090C2211yescharacteristic
74#10623090C2211yescharacteristic, complemented
75#10623083C2211yescharacteristic
76#10623083C2211yescharacteristic, complemented
77#10623077C2211yescharacteristic, complemented
78#10623069C2211yescharacteristic
79#10623042C2211yescharacteristic, complemented
80#10623038C2211yescharacteristic, complemented
81#10623035C2211yescharacteristic, complemented
82C2×#66940C2211yescharacteristic, complemented
83C11×#486C2211yescharacteristic
84C11×#480C2211yescharacteristic
85C11×#480C2211yescharacteristic, complemented
86C11×#474C2211yescharacteristic, complemented
87C11×#466C2211yescharacteristic
88C11×#466C2211yescharacteristic, complemented
89C11×#459C2211yescharacteristic
90C11×#447C2211yescharacteristic
91C11×#447C2211yescharacteristic, complemented
92C4×C11×D8C2211yescharacteristic, complemented
93C8×D4×C11C2211yescharacteristic, complemented
94C2×C11×#102C2211yescharacteristic
95C2×C11×#102C2211yescharacteristic, complemented
96#10622831C2211yescharacteristic, complemented
97#10622830C2211yescharacteristic
98#10622771C2211yescharacteristic
99#10622768C2211yescharacteristic, complemented
100#10622767C2211yescharacteristic
101#10622767C2211yescharacteristic, complemented
102#10622767C2211yescharacteristic, complemented
103#10622766C2211yescharacteristic, complemented
104#10622766C2211yescharacteristic, complemented
105#10622766C2211yescharacteristic, complemented
106#10622763C2211yescharacteristic, complemented
107#10622763C2211yescharacteristic, complemented
108#10622729C2211yescharacteristic, complemented
109#10622728C2211yescharacteristic, complemented
110#10622724C2211yescharacteristic, complemented
111C8×C22⋊D11C2211yescharacteristic, complemented
112#10622715C2211yescharacteristic, complemented
113C2×Dic11⋊C8C2211yescharacteristic, complemented
114#10622704C2211yescharacteristic, complemented
115#10622702C2211yescharacteristic, complemented
116#10622688C2211yescharacteristic
117#10622687C2211yescharacteristic
118#10622655C2211yescharacteristic
119#10622655C2211yescharacteristic, complemented
120#10622653C2211yescharacteristic, complemented
121#10622653C2211yescharacteristic, complemented
122#10622651C2211yescharacteristic, complemented
123#10622651C2211yescharacteristic, complemented
124#10622650C2211yescharacteristic
125#10622650C2211yescharacteristic, complemented
126#10622631C2211yescharacteristic, complemented
127#10622631C2211yescharacteristic, complemented
128#10622629C2211yescharacteristic, complemented
129#10622629C2211yescharacteristic, complemented
130#10622624C2211yescharacteristic, complemented
131#10622583C2211yescharacteristic, complemented
132C2×#66874C2211yescharacteristic, complemented
133#10622580C2211yescharacteristic, complemented
134#10622579C2211yescharacteristic, complemented
135#10622503C2211yescharacteristic, complemented
136#10622503C2211yescharacteristic, complemented
137#10622502C2211yescharacteristic, complemented
138#10622502C2211yescharacteristic, complemented
139#10622502C2211yescharacteristic, complemented
140#10622500C2211yescharacteristic, complemented
141#10622499C2211yescharacteristic, complemented
142#10622497C2211yescharacteristic, complemented
143#10622488C2211yescharacteristic, complemented
144#10622488C2211yescharacteristic, complemented
145#10622488C2211yescharacteristic, complemented
146#10622486C2211yescharacteristic, complemented
147#10622458C2211yescharacteristic, complemented
148#10622458C2211yescharacteristic, complemented
149#10622452C2211yescharacteristic, complemented
150#10622441C2211yescharacteristic, complemented
151#10622400C2211yescharacteristic, complemented
152#10622400C2211yescharacteristic, complemented
153#10622400C2211yescharacteristic, complemented
154#10622399C2211yescharacteristic
155#10622399C2211yescharacteristic, complemented
156#10622399C2211yescharacteristic, complemented
157#10622396C2211yescharacteristic, complemented
158#10622396C2211yescharacteristic, complemented
159#10622394C2211yescharacteristic, complemented
160#10622393C2211yescharacteristic
161#10622389C2211yescharacteristic, complemented
162#10622388C2211yescharacteristic
163#10622387C2211yescharacteristic
164#10622386C2211yescharacteristic, complemented
165#10622384C2211yescharacteristic, complemented
166D11×#102C2211yescharacteristic, complemented
167#10622380C2211yescharacteristic, complemented
168#10622380C2211yescharacteristic, complemented
169#10622380C2211yescharacteristic, complemented
170#10622380C2211yescharacteristic, complemented
171#10622380C2211yescharacteristic, complemented
172#10622380C2211yescharacteristic, complemented
173#10622380C2211yescharacteristic, complemented
174#10622380C2211yescharacteristic, complemented
175#10622380C2211yescharacteristic, complemented
176#10622380C2211yescharacteristic, complemented
177#10622378C2211yescharacteristic, complemented
178#10622378C2211yescharacteristic, complemented
179#10622378C2211yescharacteristic, complemented
180#10622375C2211yescharacteristic
181#10622375C2211yescharacteristic, complemented
182#10622375C2211yescharacteristic, complemented
183#10622373C2211yescharacteristic
184#10622372C2211yescharacteristic, complemented
185#10622372C2211yescharacteristic, complemented
186#10622372C2211yescharacteristic, complemented
187#10622370C2211yescharacteristic, complemented
188#10622370C2211yescharacteristic, complemented
189#10622370C2211yescharacteristic, complemented
190#10622369C2211yescharacteristic, complemented
191#10622351C2211yescharacteristic, complemented
192#10622351C2211yescharacteristic, complemented
193#10622346C2211yescharacteristic, complemented
194#10622346C2211yescharacteristic, complemented
195#10622343C2211yescharacteristic, complemented
196#10622341C2211yescharacteristic, complemented
197#10622333C2211yescharacteristic, complemented
198#10622332C2211yescharacteristic, complemented
199C4×Dic44C2211yescharacteristic, complemented
200#10622309C2211yescharacteristic, complemented
201#10622303C2211yescharacteristic, complemented
202#10622292C2211yescharacteristic, complemented
203C2×C11×#41—21no—
204C22×D4×C11—21no—
205C22×D4×C11C2311yescharacteristic
206C22×D4×C11C2311yescharacteristic
207C22×C22⋊D11—21no—
208C2×#4341—21no—
209C2×#4341—21no—
210C2×#4341C2311yescharacteristic
211C2×#4341C2311yescharacteristic
212C2×D4×D11C2311yescharacteristic
213C2×#4339—21no—
214C2×#4339C2311yescharacteristic
215C2×#4339C2311yescharacteristic
216C22×Dic22C2311yescharacteristic
217C22×Dic22C2311yescharacteristic
218C2×C11×D8C2311yescharacteristic
219C2×C11×D8C2311yescharacteristic
220C2×C11×D8C2311yescharacteristic
221C22×C8×C11C2311yescharacteristic
222C22×C8×C11C2311yescharacteristic
223C11×C4⋊Q8C2311yescharacteristic
224C11×#127C2311yescharacteristic
225C11×#123—21no—
226C11×#123—21no—
227C11×C22⋊Q8—21no—
228C11×#121—21no—
229C11×#121C2311yescharacteristic
230C11×#121C2311yescharacteristic
231C11×#121C2311yescharacteristic
232C11×#121C2311yescharacteristic
233C11×#120—21no—
234C11×#120—21no—
235C4×D4×C11C2311yescharacteristic
236C4×D4×C11C2311yescharacteristic
237C4×D4×C11C2311yescharacteristic
238C2×C11×C4⋊C4C2311yescharacteristic
239C2×C11×C4⋊C4C2311yescharacteristic
240#67006—21no—
241#67006—21no—
242#67006—21no—
243#67006—21no—
244C2×C22⋊Dic11—21no—
245C2×C22⋊Dic11—21no—
246C2×C22⋊Dic11—21no—
247#67000—21no—
248#66999—21no—
249#66997—21no—
250#66997—21no—
251#66993—21no—
252#66993C2311yescharacteristic
253#66993C2311yescharacteristic
254#66993C2311yescharacteristic
255#66992—21no—
256#66992—21no—
257#66992—21no—
258#66992—21no—
259#66992—21no—
260#66992—21no—
261#66992—21no—
262#66992—21no—
263#66992—21no—
264#66992—21no—
265#66992—21no—
266#66992D411yescharacteristic
267#66991—21no—
268#66991—21no—
269#66991—21no—
270#66991C2311yescharacteristic
271#66990—21no—
272#66990—21no—
273#66990—21no—
274#66990—21no—
275#66989—21no—
276#66989—21no—
277#66989—21no—
278#66989—21no—
279#66989—21no—
280#66989C2311yescharacteristic
281#66989C2311yescharacteristic
282#66989C2311yescharacteristic
283#66989C2311yescharacteristic
284#66989C2311yescharacteristic
285#66989C2311yescharacteristic
286#66988—21no—
287#66988—21no—
288#66988—21no—
289#66988—21no—
290#66988—21no—
291#66988D411yescharacteristic
292D4×Dic11—21no—
293D4×Dic11—21no—
294D4×Dic11—21no—
295D4×Dic11C2311yescharacteristic
296D4×Dic11C2311yescharacteristic
297D4×Dic11C2311yescharacteristic
298C2×#4324—42no—
299C2×#4324C2311yescharacteristic
300C2×#4324C2311yescharacteristic
301C2×#4324C2311yescharacteristic
302C2×#4324C2311yescharacteristic
303C2×#4324C2311yescharacteristic
304C2×#4324C2311yescharacteristic
305C2×#4324C2311yescharacteristic
306C2×#4324C2311yescharacteristic
307#66985—42no—
308C2×#4323C2311yescharacteristic
309C2×#4323C2311yescharacteristic
310C2×#4323C2311yescharacteristic
311C2×#4323C2311yescharacteristic
312#66983C2311yescharacteristic
313#66983C2311yescharacteristic
314#66982—21no—
315#66982—21no—
316#66982—21no—
317#66982—21no—
318C4×C22⋊D11—21no—
319C4×C22⋊D11—21no—
320C4×C22⋊D11—21no—
321C4×C22⋊D11—21no—
322C4×C22⋊D11—21no—
323C4×C22⋊D11—21no—
324C4×C22⋊D11C2311yescharacteristic
325C4×C22⋊D11C2311yescharacteristic
326#66979C2311yescharacteristic
327#66977—21no—
328#66977—21no—
329#66977C2311yescharacteristic
330#66977C2311yescharacteristic
331C2×Dic11⋊C4—21no—
332C2×Dic11⋊C4—21no—
333C2×C4×Dic11—21no—
334C2×C4×Dic11C2311yescharacteristic
335C2×#4318C2311yescharacteristic
336C22×C11⋊C8C2311yescharacteristic
337#66965—42no—
338#66964—42no—
339C2×Dic44—42no—
340C2×Dic44C2311yescharacteristic
341C2×Dic44C2311yescharacteristic
342C2×Dic44C2311yescharacteristic
343C2×Dic44C2311yescharacteristic
344#66957—42no—
345C2×D88C2311yescharacteristic
346C2×#4314C2311yescharacteristic
347C2×#4314C2311yescharacteristic
348C2×#4314C2311yescharacteristic
349C2×#4314C2311yescharacteristic
350C2×#4313C2311yescharacteristic
351C2×C8×D11C2311yescharacteristic
352#66951—21no—
353#66951D411yescharacteristic
354#66950C2311yescharacteristic
355#66950C2311yescharacteristic
356#66949—21no—
357#66949—21no—
358#66949—21no—
359#66949—21no—
360#66948C2311yescharacteristic
361#66947—21no—
362#66947—21no—
363#66946C2311yescharacteristic
364#66946C2311yescharacteristic
365#66946C2311yescharacteristic
366#66945—21no—
367C4⋊C4×D11—21no—
368C4⋊C4×D11C2311yescharacteristic
369#66942—21no—
370#66942D411yescharacteristic
371#66941—21no—
372#66941C2311yescharacteristic
373#66941C2311yescharacteristic
374#66941C2311yescharacteristic
375#66940—21no—
376#66940—21no—
377#66940—21no—
378#66940C2311yescharacteristic
379#66940C2311yescharacteristic
380#66940C2311yescharacteristic
381#66940C2311yescharacteristic
382#66940C2311yescharacteristic
383#66940C2311yescharacteristic
384#66939D411yescharacteristic
385#66938—21no—
386#66938—21no—
387#66938—21no—
388#66938—21no—
389#66938—21no—
390#66938—21no—
391#66938—21no—
392#66938—21no—
393#66938—21no—
394#66938D411yescharacteristic
395#66937—21no—
396#66936—21no—
397#66936—21no—
398#66936—21no—
399(C22⋊D11)⋊C4—21no—
400(C22⋊D11)⋊C4—21no—
401(C22⋊D11)⋊C4—21no—
402(C22⋊D11)⋊C4—21no—
403(C22⋊D11)⋊C4—21no—
404(C22⋊D11)⋊C4—21no—
405C22⋊C4×D11—21no—
406#66932—21no—
407#66932—21no—
408#66932—21no—
409#66932D411yescharacteristic
410#66931—21no—
411#66931—21no—
412#66931—21no—
413#66931—21no—
414#66931D411yescharacteristic
415#66930—21no—
416#66928C2311yescharacteristic
417#66928C2311yescharacteristic
418#66925C2311yescharacteristic
419C4×Dic22C2311yescharacteristic
420C4×Dic22C2311yescharacteristic
421C4×Dic22C2311yescharacteristic
422C11×#107C2311yescharacteristic
423C11×#107C2311yescharacteristic
424C11×#107C2311yescharacteristic
425C11×C4⋊C8C2311yescharacteristic
426C11×#102C2311yescharacteristic
427C11×#102C2311yescharacteristic
428C11×#102C2311yescharacteristic
429C11×#102C2311yescharacteristic
430C11×#102C2311yescharacteristic
431C11×#102C2311yescharacteristic
432C11×#102C2311yescharacteristic
433C11×#102C2311yescharacteristic
434C11×#102C2311yescharacteristic
435C11×#102C2311yescharacteristic
436C11×C22⋊C8C2311yescharacteristic
437C11×C22⋊C8C2311yescharacteristic
438C4×C8×C11C2311yescharacteristic
439#66896C2311yescharacteristic
440#66896C2311yescharacteristic
441#66896C2311yescharacteristic
442#66896C2311yescharacteristic
443C22⋊(C11⋊C8)C2311yescharacteristic
444C22⋊(C11⋊C8)C2311yescharacteristic
445#66885C2311yescharacteristic
446#66885C2311yescharacteristic
447(C2×D11)⋊C8C2311yescharacteristic
448(C2×D11)⋊C8C2311yescharacteristic
449#66882C2311yescharacteristic
450#66880C2311yescharacteristic
451#66880C2311yescharacteristic
452#66880C2311yescharacteristic
453#66880C2311yescharacteristic
454#66879C2311yescharacteristic
455#66879C2311yescharacteristic
456#66879C2311yescharacteristic
457Dic11⋊C8C2311yescharacteristic
458Dic11⋊C8C2311yescharacteristic
459Dic11⋊C8C2311yescharacteristic
460Dic11⋊C8C2311yescharacteristic
461Dic11⋊C8C2311yescharacteristic
462Dic11⋊C8C2311yescharacteristic
463Dic11⋊C8C2311yescharacteristic
464Dic11⋊C8C2311yescharacteristic
465C8×Dic11C2311yescharacteristic
466#66874C2311yescharacteristic
467#66874C2311yescharacteristic
468#66874C2311yescharacteristic
469#66874C2311yescharacteristic
470#66874C2311yescharacteristic
471#66874C2311yescharacteristic
472#66874C2311yescharacteristic
473#66874C2311yescharacteristic
474#66873C2311yescharacteristic
475#66873C2311yescharacteristic
476#66873C2311yescharacteristic
477#66873C2311yescharacteristic
478#66871C2311yescharacteristic
479#66871C2311yescharacteristic
480#66871C2311yescharacteristic
481#66871C2311yescharacteristic
482C4⋊(C11⋊C8)C2311yescharacteristic
483#66867C2311yescharacteristic
484#62022—111nomaximal, Sylow
485C24×C11—21no—
486C24×C11—21no—
487C23×D11—21no—
488C11×#41—82no—
489C2×Q8×C11—21no—
490C2×D4×C11—21no—
491C2×D4×C11—21no—
492C2×D4×C11—21no—
493C2×D4×C11—21no—
494C2×D4×C11—21no—
495C2×D4×C11—21no—
496C2×D4×C11—21no—
497C2×D4×C11—21no—
498C2×D4×C11—41no—
499C2×D4×C11—41no—
500C2×D4×C11—41no—
501C2×D4×C11—41no—
502C2×D4×C11—82no—
503C2×D4×C11C2×D411yescharacteristic
504C2×D4×C11C2411yescharacteristic
505C2×D4×C11C2411yescharacteristic
506C2×D4×C11C2411yescharacteristic
507C2×D4×C11C2411yescharacteristic
508C22×C4×C11—21no—
509C22×C4×C11—21no—
510C22×C4×C11—21no—
511C22×C4×C11—21no—
512C22×C4×C11C2411yescharacteristic
513C22×C4×C11C2411yescharacteristic
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—21no—
524C2×C22⋊D11—21no—
525C2×C22⋊D11—21no—
526C2×C22⋊D11—21no—
527C2×C22⋊D11—21no—
528C2×C22⋊D11—82no—
529C2×C22⋊D11C2×D411yescharacteristic
530C2×C22⋊D11C2×D411yescharacteristic
531C22×Dic11—21no—
532C22×Dic11—21no—
533C22×Dic11—21no—
534C22×Dic11—21no—
535C22×Dic11—21no—
536C22×Dic11—21no—
537C22×Dic11—21no—
538C22×Dic11C2×D411yescharacteristic
539C22×Dic11C2×D411yescharacteristic
540#4341—22no—
541#4341—41no—
542#4341—41no—
543#4341—41no—
544#4341—82no—
545#4341—82no—
546D4×D11—41no—
547D4×D11—41no—
548#4339—22no—
549#4339—41no—
550#4339—41no—
551#4339—41no—
552#4339—82no—
553C2×D44—21no—
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×D11C2411yescharacteristic
563C2×Dic22—22no—
564C2×Dic22—21no—
565C2×Dic22—21no—
566C2×Dic22—21no—
567C2×Dic22—21no—
568C2×Dic22—21no—
569C2×Dic22—41no—
570C2×Dic22—41no—
571C2×Dic22—41no—
572C2×Dic22C2×D411yescharacteristic
573C2×Dic22C2411yescharacteristic
574C2×Dic22C2411yescharacteristic
575C2×Dic22C2411yescharacteristic
576C2×Dic22C2411yescharacteristic
577C11×D8—41no—
578C11×D8—41no—
579C11×D8—41no—
580C2×C8×C11—41no—
581C2×C8×C11—41no—
582C2×C8×C11C2411yescharacteristic
583C2×C8×C11C2411yescharacteristic
584C2×C8×C11C2411yescharacteristic
585C2×C8×C11C2411yescharacteristic
586C11×C4⋊C4—21no—
587C11×C4⋊C4—21no—
588C11×C4⋊C4—21no—
589C11×C4⋊C4C2×D411yescharacteristic
590C11×C4⋊C4C2411yescharacteristic
591C11×C4⋊C4C2411yescharacteristic
592C11×C4⋊C4C2411yescharacteristic
593C11×C4⋊C4C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
601C11×C22⋊C4C2×D411yescharacteristic
602C42×C11C2411yescharacteristic
603C22⋊Dic11—21no—
604C22⋊Dic11—21no—
605C22⋊Dic11—21no—
606C22⋊Dic11—21no—
607C22⋊Dic11—21no—
608C22⋊Dic11—21no—
609C22⋊Dic11—21no—
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⋊Dic11C2×D411yescharacteristic
622C22⋊Dic11C2×D411yescharacteristic
623C22⋊Dic11C2×D411yescharacteristic
624C22⋊Dic11C2×D411yescharacteristic
625#4324—22no—
626#4324—22no—
627#4324—22no—
628#4324—41no—
629#4324—41no—
630#4324—41no—
631#4324—41no—
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)⋊C4C2×D411yescharacteristic
650(C2×D11)⋊C4C2×D411yescharacteristic
651(C2×D11)⋊C4C2×D411yescharacteristic
652(C2×D11)⋊C4C2×D411yescharacteristic
653C4⋊Dic11—21no—
654C4⋊Dic11—21no—
655C4⋊Dic11C2×D411yescharacteristic
656C4⋊Dic11C2×D411yescharacteristic
657C4⋊Dic11C2×D411yescharacteristic
658C4⋊Dic11C2411yescharacteristic
659C4⋊Dic11C2411yescharacteristic
660Dic11⋊C4—21no—
661Dic11⋊C4—21no—
662Dic11⋊C4—21no—
663Dic11⋊C4—21no—
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
680C4×Dic11—21no—
681C4×Dic11—21no—
682C4×Dic11—21no—
683C4×Dic11—21no—
684C4×Dic11—21no—
685C4×Dic11—21no—
686C4×Dic11—21no—
687C4×Dic11—21no—
688C4×Dic11C2×D411yescharacteristic
689C4×Dic11C2×D411yescharacteristic
690C4×Dic11C2411yescharacteristic
691C4×Dic11C2411yescharacteristic
692C4×Dic11C2411yescharacteristic
693#4318—41no—
694C2×C11⋊C8—41no—
695C2×C11⋊C8C2411yescharacteristic
696C2×C11⋊C8C2411yescharacteristic
697C2×C11⋊C8C2411yescharacteristic
698C2×C11⋊C8C2411yescharacteristic
699Dic44—22no—
700Dic44—22no—
701Dic44—41no—
702Dic44—41no—
703D88—41no—
704#4314—22no—
705#4314—41no—
706#4314—41no—
707#4314—41no—
708#4313—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#3294D1111yescharacteristic, complemented
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#3224—111no—
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—42no—
746C23×C11—81no—
747C23×C11—81no—
748C23×C11—81no—
749C23×C11—81no—
750C23×C11—81no—
751C23×C11C22×D411yescharacteristic
752C23×C11C22×D411yescharacteristic
753C22×D11—21no—
754C22×D11—21no—
755C22×D11—81no—
756C22×D11—81no—
757C22×D11—81no—
758C22×D11C22×D411yescharacteristic
759Q8×C11—81no—
760D4×C11—22no—
761D4×C11—21no—
762D4×C11—21no—
763D4×C11—21no—
764D4×C11—21no—
765D4×C11—21no—
766D4×C11—21no—
767D4×C11—21no—
768D4×C11—21no—
769D4×C11—42no—
770D4×C11—42no—
771D4×C11—81no—
772D4×C11—81no—
773D4×C11—81no—
774D4×C11—81no—
775D4×C11—81no—
776D4×C11—81no—
777C2×C4×C11—21no—
778C2×C4×C11—21no—
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—42no—
786C2×C4×C11—81no—
787C2×C4×C11—81no—
788C2×C4×C11—81no—
789C2×C4×C11C22×D411yescharacteristic
790C2×C4×C11C22×D411yescharacteristic
791C2×C4×C11C22×D411yescharacteristic
792C2×C4×C11C22×D411yescharacteristic
793C2×C4×C11C2511yescharacteristic
794C22⋊D11—22no—
795C22⋊D11—41no—
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—
809C22⋊D11—81no—
810C2×Dic11—22no—
811C2×Dic11—21no—
812C2×Dic11—21no—
813C2×Dic11—21no—
814C2×Dic11—21no—
815C2×Dic11—21no—
816C2×Dic11—21no—
817C2×Dic11—41no—
818C2×Dic11—42no—
819C2×Dic11—42no—
820C2×Dic11—81no—
821C2×Dic11—81no—
822C2×Dic11—81no—
823C2×Dic11—81no—
824C2×Dic11—81no—
825C2×Dic11C22×D411yescharacteristic
826C2×Dic11C22×D411yescharacteristic
827C2×Dic11C22×D411yescharacteristic
828C2×Dic11C22×D411yescharacteristic
829C2×Dic11C22×D411yescharacteristic
830C2×Dic11C22×D411yescharacteristic
831C2×Dic11C22×D411yescharacteristic
832D44—21no—
833D44—21no—
834D44—21no—
835D44—21no—
836D44—81no—
837C4×D11—21no—
838C4×D11—21no—
839C4×D11—42no—
840C4×D11—81no—
841C4×D11—81no—
842C4×D11—81no—
843C4×D11—81no—
844C4×D11—81no—
845Dic22—21no—
846Dic22—21no—
847Dic22—21no—
848Dic22—21no—
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—221no—
889#547—221no—
890#547C2×D1111yescharacteristic, complemented
891#546—111no—
892#546—111no—
893#546—221no—
894#546—221no—
895D42—111no—
896D42C2×D1111yescharacteristic
897#542—111no—
898#542—111no—
899#542—111no—
900#542—111no—
901#542—221no—
902#542—221no—
903#538—221no—
904#538—221no—
905#538—221no—
906#535—111no—
907#535—111no—
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#496—111no—
922#495—111no—
923#495—111no—
924#489—111no—
925#489—111no—
926#489—111no—
927#489—111no—
928#486—111no—
929#486C2×D1111yescharacteristic
930#484—111no—
931#484—111no—
932#480—111no—
933#480—111no—
934#480C2×D1111yescharacteristic
935#480C2×D1111yescharacteristic, complemented
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#474C2×D1111yescharacteristic, complemented
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#466C2×D1111yescharacteristic
957#466C2×D1111yescharacteristic, complemented
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#464—111no—
970#463—111no—
971#463—111no—
972#463—111no—
973#463—111no—
974#463—111no—
975#463—111no—
976#463—111no—
977#463—111no—
978#460—111no—
979#460—111no—
980#460—111no—
981#460—111no—
982#459—111no—
983#459—111no—
984#459—111no—
985#459—111no—
986#459—111no—
987#459C2×D1111yescharacteristic
988#452—111no—
989#452—111no—
990#452—111no—
991#452—111no—
992#450—111no—
993#450—111no—
994#449—111no—
995#449—111no—
996#449—111no—
997#449—111no—
998#448—111no—
999#448—111no—
1000#448—111no—
1001#448—111no—
1002#447—111no—
1003#447—111no—
1004#447C2×D1111yescharacteristic
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×D8C2×D1111yescharacteristic, complemented
1020#435—111no—
1021#435—111no—
1022#435—111no—
1023#435—111no—
1024C8×D4—111no—
1025C8×D4C2×D1111yescharacteristic, complemented
1026#433—111no—
1027#433—111no—
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×#102C2×D1111yescharacteristic
1037C2×#102C2×D1111yescharacteristic, complemented
1038C22×C11—21no—
1039C22×C11—21no—
1040C22×C11—21no—
1041C22×C11—21no—
1042C22×C11—21no—
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—41no—
1054C22×C11—41no—
1055C22×C11—162no—
1056C22×C11—162no—
1057C22×C11#57612yes—
1058C22×C11C23×D411yescharacteristic
1059C2×D11—21no—
1060C2×D11—21no—
1061C2×D11—21no—
1062C2×D11—41no—
1063C2×D11—41no—
1064C2×D11—41no—
1065C2×D11—41no—
1066C2×D11—41no—
1067C2×D11—41no—
1068C2×D11—162no—
1069C4×C11—21no—
1070C4×C11—21no—
1071C4×C11—21no—
1072C4×C11—21no—
1073C4×C11—41no—
1074C4×C11—41no—
1075C4×C11—41no—
1076C4×C11—41no—
1077C4×C11C2×H(5,𝔽2)11yescharacteristic
1078C4×C11#58511yescharacteristic
1079Dic11—21no—
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—21no—
1093C2×#41—111no—
1094C2×#41—111no—
1095C2×#41—111no—
1096C2×#41—111no—
1097C2×#41—221no—
1098C2×#41—221no—
1099C2×#41—221no—
1100C22×Q8—111no—
1101C22×Q8—111no—
1102C22×D4—21no—
1103C22×D4—111no—
1104C22×D4—221no—
1105C22×D4C22×D1111yescharacteristic
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—111no—
1115C2×Q16—442no—
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—111no—
1125C2×SD16—111no—
1126C2×SD16—111no—
1127C2×SD16—111no—
1128C2×SD16—442no—
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×C8C22×D1111yescharacteristic
1142C22×C8C22×D1111yescharacteristic
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—111no—
1153#127—221no—
1154#127C22×D1111yescharacteristic
1155#126—111no—
1156#126—111no—
1157#126—221no—
1158#126—221no—
1159#126—221no—
1160#126—221no—
1161#125—111no—
1162#125—221no—
1163#124—111no—
1164#124—111no—
1165#124—111no—
1166#124—111no—
1167#124—111no—
1168#124—111no—
1169#124—111no—
1170#124—111no—
1171#124—111no—
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#124—221no—
1185#124—221no—
1186#124—221no—
1187#123—21no—
1188#123—21no—
1189#123—111no—
1190#123—111no—
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—111no—
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⋊Q8—221no—
1222#121—21no—
1223#121—111no—
1224#121—111no—
1225#121—111no—
1226#121—111no—
1227#121—111no—
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#121—221no—
1238#121—221no—
1239#121—221no—
1240#121—221no—
1241#121—221no—
1242#121—221no—
1243#121C22×D1111yescharacteristic
1244#121C22×D1111yescharacteristic
1245#121C22×D1111yescharacteristic
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—111no—
1266C4×Q8—221no—
1267C4×Q8—221no—
1268C4×Q8—221no—
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—221no—
1278C4×D4—221no—
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×D4C22×D1111yescharacteristic
1293C4×D4C22×D1111yescharacteristic
1294C4×D4C22×D1111yescharacteristic
1295#117—111no—
1296#117—111no—
1297#117—221no—
1298#117—221no—
1299C2×C4⋊C4—111no—
1300C2×C4⋊C4—221no—
1301C2×C4⋊C4—221no—
1302C2×C4⋊C4—221no—
1303C2×C4⋊C4C22×D1111yescharacteristic
1304C2×C4⋊C4C22×D1111yescharacteristic
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#107C22×D1111yescharacteristic
1317#107C22×D1111yescharacteristic
1318#107C22×D1111yescharacteristic
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⋊C8—111no—
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#103—111no—
1340#103—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#102—111no—
1350#102—111no—
1351#102C22×D1111yescharacteristic
1352#102C22×D1111yescharacteristic
1353#102C22×D1111yescharacteristic
1354#102C22×D1111yescharacteristic
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#97—111no—
1371C4×C8—111no—
1372C4×C8C22×D1111yescharacteristic
1373C2×C11—22no—
1374C2×C11—41no—
1375C2×C11—81no—
1376C2×C11—81no—
1377C2×C11—81no—
1378C2×C11—81no—
1379C2×C11#348811yescharacteristic
1380C2×C11C2×#57611yescharacteristic
1381C2×C11#358611yescharacteristic
1382D11—41no—
1383D11—81no—
1384D11—81no—
1385C24—21no—
1386C24—21no—
1387C24—221no—
1388#41—82no—
1389#41—222no—
1390#41—222no—
1391#41—441no—
1392#41—441no—
1393#41—441no—
1394#41—441no—
1395#41—441no—
1396#41—441no—
1397#41—882no—
1398#41—882no—
1399#41—882no—
1400C2×Q8—21no—
1401C2×Q8—111no—
1402C2×Q8—111no—
1403C2×Q8—111no—
1404C2×Q8—111no—
1405C2×Q8—111no—
1406C2×Q8—221no—
1407C2×Q8—221no—
1408C2×Q8—221no—
1409C2×Q8—222no—
1410C2×Q8—221no—
1411C2×Q8—221no—
1412C2×Q8—441no—
1413C2×Q8—441no—
1414C2×Q8—441no—
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—21no—
1419C2×D4—21no—
1420C2×D4—21no—
1421C2×D4—21no—
1422C2×D4—21no—
1423C2×D4—41no—
1424C2×D4—41no—
1425C2×D4—41no—
1426C2×D4—41no—
1427C2×D4—82no—
1428C2×D4—111no—
1429C2×D4—111no—
1430C2×D4—111no—
1431C2×D4—111no—
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—221no—
1446C2×D4—221no—
1447C2×D4—441no—
1448C2×D4—441no—
1449C2×D4—882no—
1450C2×D4D4×D1111yescharacteristic
1451C2×D4C23×D1111yescharacteristic
1452C2×D4C23×D1111yescharacteristic
1453C2×D4C23×D1111yescharacteristic
1454C2×D4C23×D1111yescharacteristic
1455C22×C4—21no—
1456C22×C4—21no—
1457C22×C4—21no—
1458C22×C4—21no—
1459C22×C4—111no—
1460C22×C4—111no—
1461C22×C4—111no—
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×C4C23×D1111yescharacteristic
1476C22×C4C23×D1111yescharacteristic
1477Q16—222no—
1478Q16—222no—
1479Q16—441no—
1480Q16—441no—
1481SD16—222no—
1482SD16—222no—
1483SD16—222no—
1484SD16—222no—
1485SD16—441no—
1486SD16—441no—
1487SD16—441no—
1488SD16—441no—
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—41no—
1504C2×C8—41no—
1505C2×C8—111no—
1506C2×C8—111no—
1507C2×C8—111no—
1508C2×C8—111no—
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—221no—
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⋊C4D4×D1111yescharacteristic
1546C4⋊C4C23×D1111yescharacteristic
1547C4⋊C4C23×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—111no—
1557C22⋊C4—111no—
1558C22⋊C4—111no—
1559C22⋊C4—111no—
1560C22⋊C4—111no—
1561C22⋊C4—111no—
1562C22⋊C4—111no—
1563C22⋊C4—111no—
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—
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—111no—
1597C42—111no—
1598C42—111no—
1599C42—111no—
1600C42—111no—
1601C42—221no—
1602C42—221no—
1603C42—221no—
1604C42—221no—
1605C42—221no—
1606C42—221no—
1607C42—221no—
1608C42—221no—
1609C42C23×D1111yescharacteristic
1610C11#6202211yescharacteristic, complemented, Sylow
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—42no—
1616C23—81no—
1617C23—81no—
1618C23—81no—
1619C23—81no—
1620C23—81no—
1621C23—111no—
1622C23—221no—
1623C23—221no—
1624C23—881no—
1625C23—881no—
1626C23—881no—
1627C23C2×D4×D1111yescharacteristic
1628C23C2×D4×D1111yescharacteristic
1629Q8—81no—
1630Q8—112no—
1631Q8—221no—
1632Q8—221no—
1633Q8—221no—
1634Q8—221no—
1635Q8—221no—
1636Q8—221no—
1637Q8—221no—
1638Q8—441no—
1639Q8—442no—
1640Q8—881no—
1641Q8—881no—
1642Q8—881no—
1643Q8—881no—
1644D4—22no—
1645D4—21no—
1646D4—21no—
1647D4—21no—
1648D4—21no—
1649D4—21no—
1650D4—21no—
1651D4—21no—
1652D4—21no—
1653D4—42no—
1654D4—42no—
1655D4—81no—
1656D4—81no—
1657D4—81no—
1658D4—81no—
1659D4—81no—
1660D4—81no—
1661D4—222no—
1662D4—221no—
1663D4—221no—
1664D4—221no—
1665D4—221no—
1666D4—441no—
1667D4—442no—
1668D4—442no—
1669D4—442no—
1670D4—442no—
1671D4—442no—
1672D4—881no—
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—21no—
1689C2×C4—21no—
1690C2×C4—42no—
1691C2×C4—81no—
1692C2×C4—81no—
1693C2×C4—81no—
1694C2×C4—111no—
1695C2×C4—111no—
1696C2×C4—111no—
1697C2×C4—111no—
1698C2×C4—111no—
1699C2×C4—111no—
1700C2×C4—111no—
1701C2×C4—222no—
1702C2×C4—221no—
1703C2×C4—221no—
1704C2×C4—221no—
1705C2×C4—221no—
1706C2×C4—221no—
1707C2×C4—221no—
1708C2×C4—221no—
1709C2×C4—221no—
1710C2×C4—442no—
1711C2×C4—441no—
1712C2×C4—442no—
1713C2×C4—442no—
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×C4—881no—
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—21no—
1741C22—21no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—162no—
1755C22—162no—
1756C22—221no—
1757C22—221no—
1758C22—221no—
1759C22—441no—
1760C22—441no—
1761C22—441no—
1762C22—441no—
1763C22—441no—
1764C22—441no—
1765C22—1762no—
1766C22#1062328812yes—
1767C22C22×D4×D1111yescharacteristic
1768C4—21no—
1769C4—21no—
1770C4—21no—
1771C4—21no—
1772C4—41no—
1773C4—41no—
1774C4—41no—
1775C4—41no—
1776C4—221no—
1777C4—221no—
1778C4—221no—
1779C4—221no—
1780C4—222no—
1781C4—221no—
1782C4—221no—
1783C4—221no—
1784C4—441no—
1785C4—441no—
1786C4—441no—
1787C4—441no—
1788C4—441no—
1789C4#1062345311yescharacteristic
1790C4D11×H(5,𝔽2)11yescharacteristic
1791C2—22no—
1792C2—41no—
1793C2—81no—
1794C2—81no—
1795C2—81no—
1796C2—81no—
1797C2—441no—
1798C2—881no—
1799C2—881no—
1800C2#1308227911yescharacteristic
1801C2C2×#1062328811yescharacteristic
1802C2#1308339811yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3294C2
socleC22×C11C23×D4
hypercenter#3294D11
hypocenterC11#62022
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3294

Complements

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

NH ≅ G/Ntype
1. #13083130C2semidirect
2. #13082694C2semidirect
3. #13081702C2semidirect
4. #13081699C2semidirect
5. #13081435C2semidirect
6. #13081433C2semidirect
7. #13080700C2semidirect
8. #13080693C2semidirect
9. #13080605C2semidirect
10. #13080601C2semidirect
11. #13080425C2semidirect
12. #13080359C2semidirect
13. #13080354C2semidirect
14. #13080154C2semidirect
15. #13080153C2semidirect
16. #13080115C2semidirect
17. #13080107C2semidirect
18. #13080076C2semidirect
19. #13080071C2semidirect
20. #13079922C2semidirect
21. #13079713C2semidirect
22. #13079706C2semidirect
23. #13079600C2semidirect
24. #13078874C2semidirect
25. #13078873C2semidirect
26. #13078735C2semidirect
27. #13078160C2semidirect
28. #13078150C2semidirect
29. C2×#10622380C2semidirect
30. #13077749C2semidirect
31. C11×#3294C2semidirect
32. C11×#547C22semidirect
43. C2×#66985C22semidirect
44. C2×#66965C22semidirect
45. C2×#66964C22semidirect
46. C22×Dic44C22semidirect
47. C2×#66957C22semidirect
48. #10623264C22semidirect
49. #10623253C22semidirect
62. #10623134C22semidirect
63. #10623130C22semidirect
65. #10623129C22semidirect
67. #10623127C22semidirect
74. #10623090C22semidirect
76. #10623083C22semidirect
77. #10623077C22semidirect
79. #10623042C22semidirect
80. #10623038C22semidirect
81. #10623035C22semidirect
82. C2×#66940C22semidirect
85. C11×#480C22semidirect
86. C11×#474C22semidirect
88. C11×#466C22semidirect
91. C11×#447C22semidirect
92. C4×C11×D8C22semidirect
93. C8×D4×C11C22semidirect
95. C2×C11×#102C22semidirect
96. #10622831C22semidirect
99. #10622768C22semidirect
101. #10622767C22semidirect
102. #10622767C22semidirect
103. #10622766C22semidirect
104. #10622766C22semidirect
105. #10622766C22semidirect
106. #10622763C22semidirect
107. #10622763C22semidirect
108. #10622729C22semidirect
109. #10622728C22semidirect
110. #10622724C22semidirect
111. C8×C22⋊D11C22semidirect
112. #10622715C22semidirect
113. C2×Dic11⋊C8C22semidirect
114. #10622704C22semidirect
115. #10622702C22semidirect
119. #10622655C22semidirect
120. #10622653C22semidirect
121. #10622653C22semidirect
122. #10622651C22semidirect
123. #10622651C22semidirect
125. #10622650C22semidirect
126. #10622631C22semidirect
127. #10622631C22semidirect
128. #10622629C22semidirect
129. #10622629C22semidirect
130. #10622624C22semidirect
131. #10622583C22semidirect
132. C2×#66874C22semidirect
133. #10622580C22semidirect
134. #10622579C22semidirect
135. #10622503C22semidirect
136. #10622503C22semidirect
137. #10622502C22semidirect
138. #10622502C22semidirect
139. #10622502C22semidirect
140. #10622500C22semidirect
141. #10622499C22semidirect
142. #10622497C22semidirect
143. #10622488C22semidirect
144. #10622488C22semidirect
145. #10622488C22semidirect
146. #10622486C22semidirect
147. #10622458C22semidirect
148. #10622458C22semidirect
149. #10622452C22semidirect
150. #10622441C22semidirect
151. #10622400C22semidirect
152. #10622400C22semidirect
153. #10622400C22semidirect
155. #10622399C22semidirect
156. #10622399C22semidirect
157. #10622396C22semidirect
158. #10622396C22semidirect
159. #10622394C22semidirect
161. #10622389C22semidirect
164. #10622386C22semidirect
165. #10622384C22semidirect
166. D11×#102C22semidirect
167. #10622380C22semidirect
168. #10622380C22semidirect
169. #10622380C22semidirect
170. #10622380C22semidirect
171. #10622380C22semidirect
172. #10622380C22semidirect
173. #10622380C22semidirect
174. #10622380C22semidirect
175. #10622380C22semidirect
176. #10622380C22semidirect
177. #10622378C22semidirect
178. #10622378C22semidirect
179. #10622378C22semidirect
181. #10622375C22semidirect
182. #10622375C22semidirect
184. #10622372C22semidirect
185. #10622372C22semidirect
186. #10622372C22semidirect
187. #10622370C22semidirect
188. #10622370C22semidirect
189. #10622370C22semidirect
190. #10622369C22semidirect
191. #10622351C22semidirect
192. #10622351C22semidirect
193. #10622346C22semidirect
194. #10622346C22semidirect
195. #10622343C22semidirect
196. #10622341C22semidirect
197. #10622333C22semidirect
198. #10622332C22semidirect
199. C4×Dic44C22semidirect
200. #10622309C22semidirect
201. #10622303C22semidirect
202. #10622292C22semidirect
721. #3294D11semidirect
890. #547C2×D11semidirect
935. #480C2×D11semidirect
945. #474C2×D11semidirect
957. #466C2×D11semidirect
1005. #447C2×D11semidirect
1019. C4×D8C2×D11semidirect
1025. C8×D4C2×D11semidirect
1037. C2×#102C2×D11semidirect
1610. C11#62022semidirect

Maximal subgroups

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

subgroupindex
#130831302
#130826942
#130817022
#130816992
#130814352
#130814332
#130807002
#130806932
#130806052
#130806012
#130804252
#130803592
#130803542
#130801542
#130801532
#130801152
#130801072
#130800762
#130800712
#130799222
#130797132
#130797062
#130796002
#130788742
#130788732
#130787352
#130781602
#130781502
C2×#106223802
#130777492
C11×#32942
#6202211