Finite Group Databasebeta

← #15630546

Subgroups — #15630546

Order 2816.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1840 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082174C211yesmaximal, characteristic, complemented
2#13080802C211yesmaximal, characteristic, complemented
3#13080787C211yesmaximal, characteristic, complemented
4#13080772C211yesmaximal, characteristic, complemented
5#13080757C211yesmaximal, characteristic, complemented
6#13080742C211yesmaximal, characteristic, complemented
7#13080727C211yesmaximal, characteristic, complemented
8#13080712C211yesmaximal, characteristic, complemented
9#13080697C211yesmaximal, characteristic, complemented
10#13080682C211yesmaximal, characteristic, complemented
11#13080667C211yesmaximal, characteristic, complemented
12#13080652C211yesmaximal, characteristic, complemented
13#13080637C211yesmaximal, characteristic, complemented
14#13080622C211yesmaximal, characteristic, complemented
15#13080607C211yesmaximal, characteristic, complemented
16#13080592C211yesmaximal, characteristic, complemented
17#13080577C211yesmaximal, characteristic, complemented
18#13078961C211yesmaximal, characteristic, complemented
19#13078525C211yesmaximal, characteristic, complemented
20#13078525C211yesmaximal, characteristic, complemented
21#13078404C211yesmaximal, characteristic, complemented
22#13078222C211yesmaximal, characteristic, complemented
23#13078194C211yesmaximal, characteristic, complemented
24#13078065C211yesmaximal, characteristic, complemented
25#13077834C211yesmaximal, characteristic, complemented
26#13077834C211yesmaximal, characteristic, complemented
27#13077414C211yesmaximal, characteristic, complemented
28C2×#10622624C211yesmaximal, characteristic, complemented
29#13077135C211yesmaximal, characteristic, complemented
30C2×#10622846C211yesmaximal, characteristic, complemented
31D4×C11×#41C211yesmaximal, characteristic, complemented
32C22×C11×#41C2211yescharacteristic
33C22×C11×#41C2211yescharacteristic
34C11×#550C2211yescharacteristic
35D4×Q8×C11C2211yescharacteristic
36C11×#548C2211yescharacteristic
37C11×#548C2211yescharacteristic
38C11×#547—21no—
39C11×#547C2211yescharacteristic
40C11×#546—21no—
41C11×#546—21no—
42C11×#546C2211yescharacteristic
43C11×#546C2211yescharacteristic
44D42×C11—21no—
45D42×C11C2211yescharacteristic
46C11×#532—21no—
47C11×#532C2211yescharacteristic
48C11×#525—21no—
49C11×#525—21no—
50C11×#525C2211yescharacteristic
51C11×#525C2211yescharacteristic
52C4×C11×#41C2211yescharacteristic
53C2×C4×D4×C11—21no—
54C2×C4×D4×C11C2211yescharacteristic
55C2×#67003C2211yescharacteristic
56C2×#67003C2211yescharacteristic, complemented
57C2×#67003C2211yescharacteristic, complemented
58#10623337—21no—
59#10623322C2211yescharacteristic, complemented
60#10623322C2211yescharacteristic, complemented
61C2×#66979C2211yescharacteristic, complemented
62C2×#66979C2211yescharacteristic, complemented
63C22×#4318C2211yescharacteristic, complemented
64C23×C11⋊C8C2211yescharacteristic, complemented
65#10623096C2211yescharacteristic
66#10623096C2211yescharacteristic, complemented
67#10623094C2211yescharacteristic, complemented
68#10623088—21no—
69#10623086C2211yescharacteristic, complemented
70#10623074C2211yescharacteristic, complemented
71#10623073C2211yescharacteristic, complemented
72#10623072C2211yescharacteristic
73#10623072C2211yescharacteristic, complemented
74#10623069—21no—
75#10623069—21no—
76C4×#4341—21no—
77#10623044—21no—
78#10623026—21no—
79#10623026—21no—
80C4×#4339C2211yescharacteristic, complemented
81#10623001C2211yescharacteristic, complemented
82#10622852C2211yescharacteristic, complemented
83#10622852C2211yescharacteristic, complemented
84#10622852C2211yescharacteristic, complemented
85#10622852C2211yescharacteristic, complemented
86#10622851C2211yescharacteristic, complemented
87#10622851C2211yescharacteristic, complemented
88#10622851C2211yescharacteristic, complemented
89#10622851C2211yescharacteristic, complemented
90#10622846C2211yescharacteristic
91#10622846C2211yescharacteristic
92#10622846C2211yescharacteristic
93#10622846C2211yescharacteristic, complemented
94#10622846C2211yescharacteristic, complemented
95#10622846C2211yescharacteristic, complemented
96#10622846C2211yescharacteristic, complemented
97#10622846C2211yescharacteristic, complemented
98#10622846C2211yescharacteristic, complemented
99#10622846C2211yescharacteristic, complemented
100#10622846C2211yescharacteristic, complemented
101#10622846C2211yescharacteristic, complemented
102#10622846C2211yescharacteristic, complemented
103#10622845C2211yescharacteristic, complemented
104#10622845C2211yescharacteristic, complemented
105#10622845C2211yescharacteristic, complemented
106#10622845C2211yescharacteristic, complemented
107#10622841C2211yescharacteristic, complemented
108#10622841C2211yescharacteristic, complemented
109#10622840C2211yescharacteristic, complemented
110#10622840C2211yescharacteristic, complemented
111#10622838C2211yescharacteristic, complemented
112#10622838C2211yescharacteristic, complemented
113C2×#66899C2211yescharacteristic, complemented
114C2×#66899C2211yescharacteristic, complemented
115#10622831C2211yescharacteristic, complemented
116#10622831C2211yescharacteristic, complemented
117#10622830C2211yescharacteristic, complemented
118#10622830C2211yescharacteristic, complemented
119#10622828C2211yescharacteristic, complemented
120#10622828C2211yescharacteristic, complemented
121C2×#66896C2211yescharacteristic, complemented
122C2×#66896C2211yescharacteristic, complemented
123C2×C22⋊(C11⋊C8)C2211yescharacteristic, complemented
124C2×C22⋊(C11⋊C8)C2211yescharacteristic, complemented
125#10622703C2211yescharacteristic, complemented
126#10622696C2211yescharacteristic, complemented
127#10622695C2211yescharacteristic, complemented
128#10622695C2211yescharacteristic, complemented
129#10622688C2211yescharacteristic, complemented
130#10622685C2211yescharacteristic, complemented
131#10622684C2211yescharacteristic, complemented
132#10622684C2211yescharacteristic, complemented
133#10622670C2211yescharacteristic, complemented
134#10622670C2211yescharacteristic, complemented
135#10622668C2211yescharacteristic, complemented
136#10622668C2211yescharacteristic, complemented
137#10622668C2211yescharacteristic, complemented
138#10622668C2211yescharacteristic, complemented
139#10622667C2211yescharacteristic, complemented
140#10622667C2211yescharacteristic, complemented
141#10622665C2211yescharacteristic, complemented
142#10622665C2211yescharacteristic, complemented
143#10622664C2211yescharacteristic, complemented
144#10622664C2211yescharacteristic, complemented
145#10622662C2211yescharacteristic, complemented
146#10622662C2211yescharacteristic, complemented
147#10622661C2211yescharacteristic, complemented
148#10622661C2211yescharacteristic, complemented
149#10622658C2211yescharacteristic, complemented
150#10622658C2211yescharacteristic, complemented
151#10622658C2211yescharacteristic, complemented
152#10622658C2211yescharacteristic, complemented
153#10622657C2211yescharacteristic, complemented
154#10622657C2211yescharacteristic, complemented
155#10622656C2211yescharacteristic, complemented
156#10622656C2211yescharacteristic, complemented
157#10622655C2211yescharacteristic, complemented
158#10622655C2211yescharacteristic, complemented
159#10622654C2211yescharacteristic, complemented
160#10622654C2211yescharacteristic, complemented
161#10622652C2211yescharacteristic, complemented
162#10622652C2211yescharacteristic, complemented
163#10622651C2211yescharacteristic, complemented
164#10622651C2211yescharacteristic, complemented
165#10622648C2211yescharacteristic, complemented
166#10622648C2211yescharacteristic, complemented
167#10622648C2211yescharacteristic, complemented
168#10622648C2211yescharacteristic, complemented
169#10622647C2211yescharacteristic, complemented
170#10622647C2211yescharacteristic, complemented
171#10622646C2211yescharacteristic, complemented
172#10622646C2211yescharacteristic, complemented
173#10622643C2211yescharacteristic, complemented
174#10622643C2211yescharacteristic, complemented
175#10622639C2211yescharacteristic, complemented
176#10622639C2211yescharacteristic, complemented
177#10622635C2211yescharacteristic, complemented
178#10622635C2211yescharacteristic, complemented
179#10622634C2211yescharacteristic, complemented
180#10622633C2211yescharacteristic, complemented
181#10622631C2211yescharacteristic, complemented
182#10622631C2211yescharacteristic, complemented
183#10622627C2211yescharacteristic, complemented
184#10622627C2211yescharacteristic, complemented
185#10622624C2211yescharacteristic
186#10622624C2211yescharacteristic
187#10622624C2211yescharacteristic, complemented
188#10622624C2211yescharacteristic, complemented
189#10622624C2211yescharacteristic, complemented
190#10622624C2211yescharacteristic, complemented
191#10622624C2211yescharacteristic, complemented
192#10622624C2211yescharacteristic, complemented
193#10622622C2211yescharacteristic, complemented
194#10622622C2211yescharacteristic, complemented
195#10622621C2211yescharacteristic, complemented
196#10622620C2211yescharacteristic, complemented
197#10622615C2211yescharacteristic, complemented
198#10622611C2211yescharacteristic, complemented
199#10622611C2211yescharacteristic, complemented
200#10622611C2211yescharacteristic, complemented
201C2×C4⋊(C11⋊C8)C2211yescharacteristic, complemented
202C2×#66867C2211yescharacteristic, complemented
203C2×C11×#41—21no—
204C2×C11×#41—21no—
205C2×C11×#41—21no—
206C2×C11×#41—21no—
207C2×C11×#41—24no—
208C2×C11×#41—24no—
209C2×C11×#41—42no—
210C2×C11×#41—42no—
211C2×C11×#41C2311yescharacteristic
212C2×C11×#41C2311yescharacteristic
213C2×C11×#41C2311yescharacteristic
214C2×C11×#41C2311yescharacteristic
215C2×C11×#41C2311yescharacteristic
216C2×C11×#41C2311yescharacteristic
217C2×C11×#41C2311yescharacteristic
218C22×Q8×C11C2311yescharacteristic
219C22×Q8×C11C2311yescharacteristic
220C22×D4×C11—21no—
221C22×D4×C11—21no—
222C22×D4×C11—21no—
223C22×D4×C11D411yescharacteristic
224C22×D4×C11C2311yescharacteristic
225C22×D4×C11C2311yescharacteristic
226C23×C4×C11—21no—
227C23×C4×C11—21no—
228C23×C4×C11C2311yescharacteristic
229C23×C4×C11C2311yescharacteristic
230C2×#4341—21no—
231C2×#4339C2311yescharacteristic
232C11×C4⋊Q8—21no—
233C11×C4⋊Q8C2311yescharacteristic
234C11×#127—21no—
235C11×#127C2311yescharacteristic
236C11×#124—21no—
237C11×#124—21no—
238C11×#124C2311yescharacteristic
239C11×#124C2311yescharacteristic
240C11×#123—21no—
241C11×#123—21no—
242C11×#123—21no—
243C11×#123—21no—
244C11×#123—21no—
245C11×#123—21no—
246C11×C22⋊Q8—21no—
247C11×C22⋊Q8—21no—
248C11×C22⋊Q8—21no—
249C11×C22⋊Q8—21no—
250C11×C22⋊Q8C2311yescharacteristic
251C11×C22⋊Q8C2311yescharacteristic
252C11×C22⋊Q8C2311yescharacteristic
253C11×C22⋊Q8C2311yescharacteristic
254C11×#121—21no—
255C11×#121—21no—
256C11×#121—21no—
257C11×#121—21no—
258C11×#121—21no—
259C11×#121—21no—
260C11×#121—21no—
261C11×#121—21no—
262C11×#121—21no—
263C11×#121—21no—
264C11×#121C2311yescharacteristic
265C11×#121C2311yescharacteristic
266C11×#121C2311yescharacteristic
267C11×#121C2311yescharacteristic
268C11×#120—21no—
269C11×#120—21no—
270C11×#120—21no—
271C11×#120—21no—
272C11×#120—21no—
273C11×#120—21no—
274C4×Q8×C11C2311yescharacteristic
275C4×Q8×C11C2311yescharacteristic
276C4×D4×C11—21no—
277C4×D4×C11—21no—
278C4×D4×C11—21no—
279C4×D4×C11—21no—
280C4×D4×C11—21no—
281C4×D4×C11—21no—
282C4×D4×C11—21no—
283C4×D4×C11—21no—
284C4×D4×C11—21no—
285C4×D4×C11—21no—
286C4×D4×C11—21no—
287C4×D4×C11—21no—
288C4×D4×C11D411yescharacteristic
289C4×D4×C11D411yescharacteristic
290C4×D4×C11D411yescharacteristic
291C4×D4×C11D411yescharacteristic
292C4×D4×C11C2311yescharacteristic
293C4×D4×C11C2311yescharacteristic
294C4×D4×C11C2311yescharacteristic
295C4×D4×C11C2311yescharacteristic
296C4×D4×C11C2311yescharacteristic
297C4×D4×C11C2311yescharacteristic
298C11×#117—21no—
299C11×#117C2311yescharacteristic
300C2×C11×C4⋊C4—21no—
301C2×C11×C4⋊C4D411yescharacteristic
302C2×C11×C22⋊C4—21no—
303C2×C11×C22⋊C4—21no—
304C2×C11×C22⋊C4D411yescharacteristic
305C2×C11×C22⋊C4D411yescharacteristic
306C2×C42×C11—21no—
307C2×C42×C11C2311yescharacteristic
308#67006—21no—
309#67006—21no—
310C2×C22⋊Dic11—21no—
311C2×C22⋊Dic11—21no—
312#67003—24no—
313#67003—42no—
314#67003—42no—
315C2×#4326C2311yescharacteristic
316C2×#4326C2311yescharacteristic
317C2×#4326C2311yescharacteristic
318C2×#4325C2311yescharacteristic
319C2×#4325C2311yescharacteristic
320C2×#4325C2311yescharacteristic
321#66992—21no—
322#66992—21no—
323#66991—21no—
324#66989—21no—
325#66988—21no—
326#66988—21no—
327D4×Dic11—21no—
328C2×#4324C2311yescharacteristic
329C2×#4324C2311yescharacteristic
330C2×#4324C2311yescharacteristic
331C2×#4323C2311yescharacteristic
332C2×#4323C2311yescharacteristic
333C2×#4323C2311yescharacteristic
334#66983C2311yescharacteristic
335#66983C2311yescharacteristic
336#66983C2311yescharacteristic
337#66983C2311yescharacteristic
338#66982—21no—
339#66982—21no—
340C4×C22⋊D11—21no—
341C4×C22⋊D11—21no—
342C4×C22⋊D11—21no—
343C4×C22⋊D11—21no—
344C4×C22⋊D11—21no—
345C4×C22⋊D11—21no—
346#66979—21no—
347#66979—21no—
348#66979—21no—
349#66979—21no—
350#66979C2311yescharacteristic
351#66979C2311yescharacteristic
352#66979C2311yescharacteristic
353#66979C2311yescharacteristic
354#66979C2311yescharacteristic
355#66979C2311yescharacteristic
356#66979C2311yescharacteristic
357C2×C4⋊Dic11C2311yescharacteristic
358C2×C4⋊Dic11C2311yescharacteristic
359C2×C4⋊Dic11C2311yescharacteristic
360C2×C4⋊Dic11C2311yescharacteristic
361#66977—21no—
362#66977—21no—
363#66977C2311yescharacteristic
364#66977C2311yescharacteristic
365#66977C2311yescharacteristic
366#66977C2311yescharacteristic
367C2×C4×Dic11—21no—
368C2×C4×Dic11—21no—
369C2×#4318—42no—
370C2×#4318C2311yescharacteristic
371C2×#4318C2311yescharacteristic
372C2×#4318C2311yescharacteristic
373C2×#4318C2311yescharacteristic
374C22×C11⋊C8—42no—
375C22×C11⋊C8C2311yescharacteristic
376C22×C11⋊C8C2311yescharacteristic
377C22×C11⋊C8C2311yescharacteristic
378C22×C11⋊C8C2311yescharacteristic
379C22×C11⋊C8C2311yescharacteristic
380C22×C11⋊C8C2311yescharacteristic
381C22×C11⋊C8C2311yescharacteristic
382C22×C11⋊C8C2311yescharacteristic
383#66951—21no—
384#66951—21no—
385#66950—21no—
386#66945—21no—
387#66943—21no—
388#66942—21no—
389#66942—21no—
390#66940—21no—
391#66939—21no—
392#66939—21no—
393#66938—21no—
394#66938—21no—
395#66936—21no—
396#66936—21no—
397(C22⋊D11)⋊C4—21no—
398(C22⋊D11)⋊C4—21no—
399#66932—21no—
400#66932—21no—
401#66932—21no—
402#66932—21no—
403#66931—21no—
404#66931—21no—
405#66930—21no—
406#66930—21no—
407C4×D44C2311yescharacteristic
408C4×D44C2311yescharacteristic
409#66925—21no—
410C42×D11—21no—
411#66923C2311yescharacteristic
412#66923C2311yescharacteristic
413#66922C2311yescharacteristic
414#66922C2311yescharacteristic
415C4×Dic22—21no—
416C4×Dic22—21no—
417C4×Dic22C2311yescharacteristic
418C4×Dic22C2311yescharacteristic
419#66899C2311yescharacteristic
420#66899C2311yescharacteristic
421#66899C2311yescharacteristic
422#66899C2311yescharacteristic
423#66899C2311yescharacteristic
424#66899C2311yescharacteristic
425#66899C2311yescharacteristic
426#66899C2311yescharacteristic
427#66899C2311yescharacteristic
428#66899C2311yescharacteristic
429#66899C2311yescharacteristic
430#66899C2311yescharacteristic
431#66899C2311yescharacteristic
432#66899C2311yescharacteristic
433#66899C2311yescharacteristic
434#66899C2311yescharacteristic
435#66899C2311yescharacteristic
436#66899C2311yescharacteristic
437#66896C2311yescharacteristic
438#66896C2311yescharacteristic
439#66896C2311yescharacteristic
440#66896C2311yescharacteristic
441#66896C2311yescharacteristic
442#66896C2311yescharacteristic
443#66896C2311yescharacteristic
444#66896C2311yescharacteristic
445#66896C2311yescharacteristic
446#66896C2311yescharacteristic
447#66896C2311yescharacteristic
448#66896C2311yescharacteristic
449#66896C2311yescharacteristic
450#66896C2311yescharacteristic
451#66896C2311yescharacteristic
452#66896C2311yescharacteristic
453#66896C2311yescharacteristic
454#66896C2311yescharacteristic
455C22⋊(C11⋊C8)C2311yescharacteristic
456C22⋊(C11⋊C8)C2311yescharacteristic
457C22⋊(C11⋊C8)C2311yescharacteristic
458C22⋊(C11⋊C8)C2311yescharacteristic
459C22⋊(C11⋊C8)C2311yescharacteristic
460C22⋊(C11⋊C8)C2311yescharacteristic
461C22⋊(C11⋊C8)C2311yescharacteristic
462C22⋊(C11⋊C8)C2311yescharacteristic
463#66874C2311yescharacteristic
464#66874C2311yescharacteristic
465#66873C2311yescharacteristic
466#66873C2311yescharacteristic
467#66872C2311yescharacteristic
468#66872C2311yescharacteristic
469#66872C2311yescharacteristic
470#66872C2311yescharacteristic
471#66872C2311yescharacteristic
472#66872C2311yescharacteristic
473#66871C2311yescharacteristic
474#66871C2311yescharacteristic
475#66871C2311yescharacteristic
476#66871C2311yescharacteristic
477#66871C2311yescharacteristic
478#66871C2311yescharacteristic
479C4⋊(C11⋊C8)C2311yescharacteristic
480C4⋊(C11⋊C8)C2311yescharacteristic
481C4⋊(C11⋊C8)C2311yescharacteristic
482C4⋊(C11⋊C8)C2311yescharacteristic
483#66867C2311yescharacteristic
484#66867C2311yescharacteristic
485#66867C2311yescharacteristic
486#66867C2311yescharacteristic
487#61141—111nomaximal, Sylow
488C24×C11—21no—
489C24×C11—21no—
490C24×C11C2×D411yescharacteristic
491C24×C11C2×D411yescharacteristic
492C11×#41—22no—
493C11×#41—22no—
494C11×#41—22no—
495C11×#41—22no—
496C11×#41—22no—
497C11×#41—22no—
498C11×#41—22no—
499C11×#41—22no—
500C11×#41—22no—
501C11×#41—44no—
502C11×#41—44no—
503C11×#41—41no—
504C11×#41—41no—
505C11×#41—41no—
506C11×#41—41no—
507C11×#41—44no—
508C11×#41—44no—
509C11×#41#4114yescomplemented
510C2×Q8×C11—21no—
511C2×Q8×C11—21no—
512C2×Q8×C11—22no—
513C2×Q8×C11—22no—
514C2×Q8×C11—41no—
515C2×Q8×C11—41no—
516C2×Q8×C11C2411yescharacteristic
517C2×Q8×C11C2411yescharacteristic
518C2×Q8×C11C2411yescharacteristic
519C2×D4×C11—21no—
520C2×D4×C11—22no—
521C2×D4×C11—22no—
522C2×D4×C11—21no—
523C2×D4×C11—21no—
524C2×D4×C11—21no—
525C2×D4×C11—21no—
526C2×D4×C11—21no—
527C2×D4×C11—21no—
528C2×D4×C11—21no—
529C2×D4×C11—21no—
530C2×D4×C11—21no—
531C2×D4×C11—21no—
532C2×D4×C11—21no—
533C2×D4×C11—21no—
534C2×D4×C11—21no—
535C2×D4×C11—21no—
536C2×D4×C11—41no—
537C2×D4×C11—41no—
538C2×D4×C11—42no—
539C2×D4×C11—44no—
540C2×D4×C11—44no—
541C2×D4×C11—44no—
542C2×D4×C11C2×D411yescharacteristic
543C2×D4×C11C2×D411yescharacteristic
544C2×D4×C11C2×D411yescharacteristic
545C2×D4×C11C2×D411yescharacteristic
546C2×D4×C11C2411yescharacteristic
547C2×D4×C11C2411yescharacteristic
548C2×D4×C11C2411yescharacteristic
549C22×C4×C11—21no—
550C22×C4×C11—22no—
551C22×C4×C11—22no—
552C22×C4×C11—22no—
553C22×C4×C11—22no—
554C22×C4×C11—21no—
555C22×C4×C11—21no—
556C22×C4×C11—21no—
557C22×C4×C11—21no—
558C22×C4×C11—21no—
559C22×C4×C11—21no—
560C22×C4×C11—21no—
561C22×C4×C11—21no—
562C22×C4×C11—21no—
563C22×C4×C11—21no—
564C22×C4×C11—44no—
565C22×C4×C11—44no—
566C22×C4×C11C2×D411yescharacteristic
567C22×C4×C11C2×D411yescharacteristic
568C22×C4×C11C2×D411yescharacteristic
569C22×C4×C11C2×D411yescharacteristic
570C22×C4×C11C2×D411yescharacteristic
571C22×C4×C11C2×D411yescharacteristic
572C22×C4×C11C2×D411yescharacteristic
573C22×C4×C11C2×D411yescharacteristic
574C22×C4×C11C2411yescharacteristic
575C22×C4×C11C2411yescharacteristic
576C22×C4×C11C2411yescharacteristic
577C22×C4×C11C2411yescharacteristic
578C22×C4×C11C2411yescharacteristic
579C2×C22⋊D11—21no—
580C2×C22⋊D11—21no—
581C2×C22⋊D11—21no—
582C2×C22⋊D11—21no—
583C2×C22⋊D11—21no—
584C22×Dic11—21no—
585C22×Dic11—21no—
586C22×Dic11—21no—
587C22×Dic11—21no—
588#4341—44no—
589#4339—22no—
590#4339—22no—
591C2×D44C2411yescharacteristic
592C2×C4×D11—21no—
593C2×C4×D11—21no—
594C2×C4×D11—21no—
595C2×Dic22—21no—
596C2×Dic22—21no—
597C2×Dic22C2411yescharacteristic
598C11×C4⋊C4—21no—
599C11×C4⋊C4—21no—
600C11×C4⋊C4—21no—
601C11×C4⋊C4—21no—
602C11×C4⋊C4—21no—
603C11×C4⋊C4—21no—
604C11×C4⋊C4—21no—
605C11×C4⋊C4—21no—
606C11×C4⋊C4C2×D411yescharacteristic
607C11×C4⋊C4C2×D411yescharacteristic
608C11×C4⋊C4C2×D411yescharacteristic
609C11×C4⋊C4C2×D411yescharacteristic
610C11×C4⋊C4C2411yescharacteristic
611C11×C4⋊C4C2411yescharacteristic
612C11×C22⋊C4—21no—
613C11×C22⋊C4—21no—
614C11×C22⋊C4—21no—
615C11×C22⋊C4—21no—
616C11×C22⋊C4—21no—
617C11×C22⋊C4—21no—
618C11×C22⋊C4—21no—
619C11×C22⋊C4—21no—
620C11×C22⋊C4—21no—
621C11×C22⋊C4—21no—
622C11×C22⋊C4—21no—
623C11×C22⋊C4—21no—
624C11×C22⋊C4—21no—
625C11×C22⋊C4—21no—
626C11×C22⋊C4—21no—
627C11×C22⋊C4C2×D411yescharacteristic
628C11×C22⋊C4C2×D411yescharacteristic
629C11×C22⋊C4C2×D411yescharacteristic
630C11×C22⋊C4C2×D411yescharacteristic
631C11×C22⋊C4C2×D411yescharacteristic
632C11×C22⋊C4C2×D411yescharacteristic
633C11×C22⋊C4C2×D411yescharacteristic
634C11×C22⋊C4C2×D411yescharacteristic
635C42×C11—21no—
636C42×C11—21no—
637C42×C11—21no—
638C42×C11C2×D411yescharacteristic
639C42×C11C2×D411yescharacteristic
640C42×C11C2411yescharacteristic
641C42×C11C2411yescharacteristic
642C22⋊Dic11—21no—
643C22⋊Dic11—21no—
644C22⋊Dic11—21no—
645C22⋊Dic11—21no—
646C22⋊Dic11—21no—
647C22⋊Dic11—21no—
648C22⋊Dic11—21no—
649C22⋊Dic11—21no—
650C22⋊Dic11—21no—
651C22⋊Dic11—21no—
652C22⋊Dic11—21no—
653#4326—22no—
654#4326—41no—
655#4326—41no—
656#4325—22no—
657#4325—41no—
658#4325—41no—
659#4324—22no—
660#4324—41no—
661#4324—41no—
662#4323—22no—
663#4323—41no—
664#4323—41no—
665(C2×D11)⋊C4—21no—
666(C2×D11)⋊C4—21no—
667(C2×D11)⋊C4—21no—
668(C2×D11)⋊C4—21no—
669(C2×D11)⋊C4—21no—
670(C2×D11)⋊C4—21no—
671C4⋊Dic11—21no—
672C4⋊Dic11—21no—
673C4⋊Dic11—21no—
674C4⋊Dic11—21no—
675C4⋊Dic11—21no—
676C4⋊Dic11—21no—
677C4⋊Dic11C2411yescharacteristic
678C4⋊Dic11C2411yescharacteristic
679C4⋊Dic11C2411yescharacteristic
680C4⋊Dic11C2411yescharacteristic
681C4⋊Dic11C2411yescharacteristic
682C4⋊Dic11C2411yescharacteristic
683Dic11⋊C4—21no—
684Dic11⋊C4—21no—
685Dic11⋊C4—21no—
686Dic11⋊C4—21no—
687Dic11⋊C4—21no—
688Dic11⋊C4—21no—
689Dic11⋊C4—21no—
690Dic11⋊C4—21no—
691Dic11⋊C4—21no—
692Dic11⋊C4—21no—
693C4×Dic11—21no—
694C4×Dic11—21no—
695C4×Dic11—21no—
696C4×Dic11—21no—
697C4×Dic11—21no—
698C4×Dic11—21no—
699C4×Dic11—21no—
700C4×Dic11—21no—
701C4×Dic11—21no—
702#4318—41no—
703#4318—41no—
704#4318—41no—
705#4318—41no—
706C2×C11⋊C8—22no—
707C2×C11⋊C8—22no—
708C2×C11⋊C8—22no—
709C2×C11⋊C8—22no—
710C2×C11⋊C8—41no—
711C2×C11⋊C8—41no—
712C2×C11⋊C8—41no—
713C2×C11⋊C8—41no—
714C2×C11⋊C8C2411yescharacteristic
715C2×C11⋊C8C2411yescharacteristic
716C2×C11⋊C8C2411yescharacteristic
717C2×C11⋊C8C2411yescharacteristic
718C2×C11⋊C8C2411yescharacteristic
719C2×C11⋊C8C2411yescharacteristic
720C2×C11⋊C8C2411yescharacteristic
721C2×C11⋊C8C2411yescharacteristic
722#3475—111no—
723D4×#41D1111yescharacteristic, complemented
724#3321—111no—
725#3320—111no—
726#3319—111no—
727#3318—111no—
728#3317—111no—
729#3316—111no—
730#3315—111no—
731#3314—111no—
732#3313—111no—
733#3312—111no—
734#3311—111no—
735#3310—111no—
736#3309—111no—
737#3308—111no—
738#3307—111no—
739#3306—111no—
740#3135—111no—
741#3091—111no—
742#3091—111no—
743#3076—111no—
744#3054—111no—
745#3050—111no—
746#3035—111no—
747#3002—111no—
748#3002—111no—
749#2943—111no—
750C2×#435—111no—
751#2896—111no—
752C2×#416—111no—
753C23×C11—22no—
754C23×C11—22no—
755C23×C11—21no—
756C23×C11—22no—
757C23×C11—21no—
758C23×C11—21no—
759C23×C11—41no—
760C23×C11—41no—
761C23×C11—41no—
762C23×C11—42no—
763C23×C11—42no—
764C23×C11—42no—
765C23×C11—42no—
766C23×C11—81no—
767C23×C11—81no—
768C23×C11C22×D411yescharacteristic
769C23×C11C22×D411yescharacteristic
770C23×C11C22×D411yescharacteristic
771C23×C11C22×D411yescharacteristic
772C23×C11C22×D411yescharacteristic
773C22×D11—21no—
774Q8×C11—21no—
775Q8×C11—21no—
776Q8×C11—21no—
777Q8×C11—21no—
778Q8×C11—21no—
779Q8×C11—42no—
780Q8×C11—42no—
781Q8×C11C2×#4112yes—
782D4×C11—24no—
783D4×C11—22no—
784D4×C11—22no—
785D4×C11—21no—
786D4×C11—21no—
787D4×C11—21no—
788D4×C11—21no—
789D4×C11—21no—
790D4×C11—41no—
791D4×C11—41no—
792D4×C11—42no—
793D4×C11—42no—
794D4×C11—42no—
795D4×C11—42no—
796D4×C11—42no—
797D4×C11—42no—
798D4×C11—42no—
799D4×C11—42no—
800D4×C11—42no—
801D4×C11—42no—
802D4×C11—42no—
803D4×C11—81no—
804D4×C11—81no—
805D4×C11—81no—
806D4×C11C2×#4112yes—
807C2×C4×C11—22no—
808C2×C4×C11—22no—
809C2×C4×C11—21no—
810C2×C4×C11—22no—
811C2×C4×C11—22no—
812C2×C4×C11—22no—
813C2×C4×C11—22no—
814C2×C4×C11—24no—
815C2×C4×C11—21no—
816C2×C4×C11—21no—
817C2×C4×C11—21no—
818C2×C4×C11—21no—
819C2×C4×C11—21no—
820C2×C4×C11—21no—
821C2×C4×C11—21no—
822C2×C4×C11—21no—
823C2×C4×C11—21no—
824C2×C4×C11—21no—
825C2×C4×C11—21no—
826C2×C4×C11—21no—
827C2×C4×C11—41no—
828C2×C4×C11—41no—
829C2×C4×C11—42no—
830C2×C4×C11—42no—
831C2×C4×C11—42no—
832C2×C4×C11—42no—
833C2×C4×C11—42no—
834C2×C4×C11—42no—
835C2×C4×C11—42no—
836C2×C4×C11—42no—
837C2×C4×C11—42no—
838C2×C4×C11—81no—
839C2×C4×C11C22×D411yescharacteristic
840C2×C4×C11C22×D411yescharacteristic
841C2×C4×C11C22×D411yescharacteristic
842C2×C4×C11C22×D411yescharacteristic
843C2×C4×C11C22×D411yescharacteristic
844C2×C4×C11C22×D411yescharacteristic
845C2×C4×C11C22×D411yescharacteristic
846C2×C4×C11C22×D411yescharacteristic
847C2×C4×C11C22×D411yescharacteristic
848C2×C4×C11C2×#4112yes—
849C2×C4×C11H(5,𝔽2)12yes—
850C2×C4×C11C2511yescharacteristic
851C22⋊D11—42no—
852C22⋊D11—42no—
853C22⋊D11—42no—
854C22⋊D11—81no—
855C22⋊D11—81no—
856C2×Dic11—21no—
857C2×Dic11—21no—
858C2×Dic11—21no—
859C2×Dic11—21no—
860C2×Dic11—21no—
861C2×Dic11—21no—
862C2×Dic11—21no—
863C2×Dic11—42no—
864C2×Dic11—42no—
865C2×Dic11—81no—
866C2×Dic11—81no—
867D44—21no—
868D44—21no—
869C4×D11—42no—
870C4×D11—42no—
871C4×D11—81no—
872Dic22—21no—
873Dic22—21no—
874Dic22—42no—
875Dic22—81no—
876C11⋊C8—21no—
877C11⋊C8—21no—
878C11⋊C8—21no—
879C11⋊C8—21no—
880C11⋊C8—21no—
881C11⋊C8—21no—
882C11⋊C8—21no—
883C11⋊C8—21no—
884C22×#41C2×D1111yescharacteristic
885C22×#41C2×D1111yescharacteristic
886C2×#135—111no—
887C2×#135—111no—
888C2×#135—111no—
889C22×M16—111no—
890C23×C8—111no—
891#556—111no—
892#555—111no—
893#554—111no—
894#553—111no—
895#553—111no—
896#552—111no—
897#552—111no—
898#552—221no—
899#551—221no—
900#551—221no—
901#550C2×D1111yescharacteristic
902D4×Q8C2×D1111yescharacteristic
903#548C2×D1111yescharacteristic
904#548C2×D1111yescharacteristic
905#547—21no—
906#547—111no—
907#547C2×D1111yescharacteristic
908#546—21no—
909#546—21no—
910#546—221no—
911#546C2×D1111yescharacteristic
912#546C2×D1111yescharacteristic
913D42—21no—
914D42C2×D1111yescharacteristic
915#533—111no—
916#532—21no—
917#532C2×D1111yescharacteristic
918#529—221no—
919#529—221no—
920#529—221no—
921#525—21no—
922#525—21no—
923#525—111no—
924#525—111no—
925#525C2×D1111yescharacteristic
926#525C2×D1111yescharacteristic
927C4×#41—111no—
928C4×#41—221no—
929C4×#41C2×D1111yescharacteristic
930C2×C4×D4—21no—
931C2×C4×D4C2×D1111yescharacteristic
932C2×#117—111no—
933C2×#117—111no—
934#491—111no—
935#491—111no—
936#490—111no—
937#490—111no—
938#489—111no—
939#489—111no—
940#489—111no—
941#489—111no—
942#485—111no—
943#485—111no—
944#485—111no—
945#485—111no—
946#484—111no—
947#484—111no—
948#483—111no—
949#483—111no—
950#482—111no—
951#482—111no—
952#482—111no—
953#482—111no—
954#481—111no—
955#481—111no—
956#480—111no—
957#480—111no—
958#479—111no—
959#479—111no—
960#478—111no—
961#478—111no—
962#477—111no—
963#476—111no—
964#475—111no—
965#474—111no—
966#470—111no—
967#470—111no—
968#469—111no—
969#469—111no—
970#468—111no—
971#468—111no—
972#468—111no—
973#468—111no—
974#467—111no—
975#467—111no—
976#466—111no—
977#466—111no—
978#465—111no—
979#465—111no—
980#465—111no—
981#465—111no—
982#464—111no—
983#464—111no—
984#463—111no—
985#463—111no—
986#462—111no—
987#461—111no—
988#460—111no—
989#459—111no—
990#452—111no—
991#452—111no—
992#452—111no—
993#452—111no—
994#451—111no—
995#451—111no—
996#450—111no—
997#450—111no—
998#449—111no—
999#449—111no—
1000#449—111no—
1001#449—111no—
1002#448—111no—
1003#448—111no—
1004#447—111no—
1005#447—111no—
1006#442—111no—
1007#442—111no—
1008#441—111no—
1009#441—111no—
1010#440—111no—
1011#440—111no—
1012#440—111no—
1013#440—111no—
1014#435—111no—
1015#435—111no—
1016#435—111no—
1017#435—111no—
1018#435—111no—
1019#435—111no—
1020#435—111no—
1021#435—111no—
1022#427—111no—
1023#427—111no—
1024#427—111no—
1025C2×C4⋊C8—111no—
1026#419—111no—
1027#419—111no—
1028#418—111no—
1029#418—111no—
1030#417—111no—
1031#417—111no—
1032#417—111no—
1033#417—111no—
1034#416—111no—
1035#416—111no—
1036#416—111no—
1037#416—111no—
1038#416—111no—
1039#416—111no—
1040#416—111no—
1041#416—111no—
1042#416—111no—
1043#416—111no—
1044#416—111no—
1045#416—111no—
1046#416—111no—
1047#416—111no—
1048C2×#103—111no—
1049C2×#103—111no—
1050C2×#102—111no—
1051C2×#102—111no—
1052C2×C22⋊C8—111no—
1053C2×C22⋊C8—111no—
1054C2×#97—111no—
1055C22×C11—21no—
1056C22×C11—21no—
1057C22×C11—21no—
1058C22×C11—21no—
1059C22×C11—21no—
1060C22×C11—21no—
1061C22×C11—21no—
1062C22×C11—21no—
1063C22×C11—21no—
1064C22×C11—21no—
1065C22×C11—22no—
1066C22×C11—21no—
1067C22×C11—21no—
1068C22×C11—21no—
1069C22×C11—44no—
1070C22×C11—41no—
1071C22×C11—41no—
1072C22×C11—41no—
1073C22×C11—41no—
1074C22×C11—41no—
1075C22×C11—41no—
1076C22×C11—41no—
1077C22×C11—41no—
1078C22×C11—82no—
1079C22×C11—84no—
1080C22×C11—84no—
1081C22×C11#54612yes—
1082C22×C11#57512yes—
1083C22×C11C23×D411yescharacteristic
1084C2×D11—41no—
1085C2×D11—41no—
1086C2×D11—41no—
1087C4×C11—21no—
1088C4×C11—21no—
1089C4×C11—21no—
1090C4×C11—21no—
1091C4×C11—21no—
1092C4×C11—21no—
1093C4×C11—22no—
1094C4×C11—21no—
1095C4×C11—21no—
1096C4×C11—41no—
1097C4×C11—41no—
1098C4×C11—41no—
1099C4×C11—41no—
1100C4×C11#54612yes—
1101C4×C11C22×#4111yescharacteristic
1102C4×C11C2×H(5,𝔽2)11yescharacteristic
1103Dic11—41no—
1104Dic11—41no—
1105Dic11—41no—
1106Dic11—41no—
1107Dic11—41no—
1108Dic11—41no—
1109Dic11—41no—
1110C2×#41—21no—
1111C2×#41—21no—
1112C2×#41—21no—
1113C2×#41—21no—
1114C2×#41—24no—
1115C2×#41—24no—
1116C2×#41—42no—
1117C2×#41—42no—
1118C2×#41—111no—
1119C2×#41—221no—
1120C2×#41C22×D1111yescharacteristic
1121C2×#41C22×D1111yescharacteristic
1122C2×#41C22×D1111yescharacteristic
1123C2×#41C22×D1111yescharacteristic
1124C2×#41C22×D1111yescharacteristic
1125C2×#41C22×D1111yescharacteristic
1126C2×#41C22×D1111yescharacteristic
1127C22×Q8C22×D1111yescharacteristic
1128C22×Q8C22×D1111yescharacteristic
1129C22×D4—21no—
1130C22×D4—21no—
1131C22×D4—21no—
1132C22×D4C22⋊D1111yescharacteristic
1133C22×D4C22×D1111yescharacteristic
1134C22×D4C22×D1111yescharacteristic
1135C23×C4—21no—
1136C23×C4—21no—
1137C23×C4C22×D1111yescharacteristic
1138C23×C4C22×D1111yescharacteristic
1139#135—224no—
1140#135—442no—
1141#135—442no—
1142C2×Q16—111no—
1143C2×Q16—111no—
1144C2×Q16—111no—
1145C2×SD16—111no—
1146C2×SD16—111no—
1147C2×SD16—111no—
1148C2×SD16—111no—
1149C2×SD16—111no—
1150C2×SD16—111no—
1151C2×D8—111no—
1152C2×D8—111no—
1153C2×D8—111no—
1154C2×M16—111no—
1155C2×M16—111no—
1156C2×M16—111no—
1157C2×M16—111no—
1158C2×M16—442no—
1159C22×C8—111no—
1160C22×C8—111no—
1161C22×C8—111no—
1162C22×C8—111no—
1163C22×C8—111no—
1164C22×C8—111no—
1165C22×C8—111no—
1166C22×C8—111no—
1167C22×C8—442no—
1168C4⋊Q8—21no—
1169C4⋊Q8—111no—
1170C4⋊Q8—111no—
1171C4⋊Q8C22×D1111yescharacteristic
1172#127—21no—
1173#127C22×D1111yescharacteristic
1174#126—221no—
1175#126—221no—
1176#126—221no—
1177#126—221no—
1178#126—221no—
1179#126—221no—
1180#125—111no—
1181#125—111no—
1182#125—221no—
1183#125—221no—
1184#125—221no—
1185#124—21no—
1186#124—21no—
1187#124—221no—
1188#124—221no—
1189#124—221no—
1190#124C22×D1111yescharacteristic
1191#124C22×D1111yescharacteristic
1192#123—21no—
1193#123—21no—
1194#123—21no—
1195#123—21no—
1196#123—21no—
1197#123—21no—
1198#123—221no—
1199#123—221no—
1200#123—221no—
1201#123—221no—
1202#123—221no—
1203#123—221no—
1204#123—221no—
1205#123—221no—
1206C22⋊Q8—21no—
1207C22⋊Q8—21no—
1208C22⋊Q8—21no—
1209C22⋊Q8—21no—
1210C22⋊Q8—111no—
1211C22⋊Q8—111no—
1212C22⋊Q8—111no—
1213C22⋊Q8—111no—
1214C22⋊Q8—221no—
1215C22⋊Q8—221no—
1216C22⋊Q8—221no—
1217C22⋊Q8—221no—
1218C22⋊Q8—221no—
1219C22⋊Q8C22×D1111yescharacteristic
1220C22⋊Q8C22×D1111yescharacteristic
1221C22⋊Q8C22×D1111yescharacteristic
1222C22⋊Q8C22×D1111yescharacteristic
1223#121—21no—
1224#121—21no—
1225#121—21no—
1226#121—21no—
1227#121—21no—
1228#121—21no—
1229#121—21no—
1230#121—21no—
1231#121—21no—
1232#121—21no—
1233#121—111no—
1234#121—111no—
1235#121—111no—
1236#121—111no—
1237#121—221no—
1238#121—221no—
1239#121—221no—
1240#121C22×D1111yescharacteristic
1241#121C22×D1111yescharacteristic
1242#121C22×D1111yescharacteristic
1243#121C22×D1111yescharacteristic
1244#120—21no—
1245#120—21no—
1246#120—21no—
1247#120—21no—
1248#120—21no—
1249#120—21no—
1250#120—221no—
1251#120—221no—
1252C4×Q8—111no—
1253C4×Q8—111no—
1254C4×Q8—221no—
1255C4×Q8—221no—
1256C4×Q8—221no—
1257C4×Q8C22×D1111yescharacteristic
1258C4×Q8C22×D1111yescharacteristic
1259C4×D4—21no—
1260C4×D4—21no—
1261C4×D4—21no—
1262C4×D4—21no—
1263C4×D4—21no—
1264C4×D4—21no—
1265C4×D4—21no—
1266C4×D4—21no—
1267C4×D4—21no—
1268C4×D4—21no—
1269C4×D4—21no—
1270C4×D4—21no—
1271C4×D4—111no—
1272C4×D4—111no—
1273C4×D4—221no—
1274C4×D4—221no—
1275C4×D4—221no—
1276C4×D4—221no—
1277C4×D4—221no—
1278C4×D4—221no—
1279C4×D4—221no—
1280C4×D4—221no—
1281C4×D4—221no—
1282C4×D4C22⋊D1111yescharacteristic
1283C4×D4C22⋊D1111yescharacteristic
1284C4×D4C22⋊D1111yescharacteristic
1285C4×D4C22⋊D1111yescharacteristic
1286C4×D4C22×D1111yescharacteristic
1287C4×D4C22×D1111yescharacteristic
1288C4×D4C22×D1111yescharacteristic
1289C4×D4C22×D1111yescharacteristic
1290C4×D4C22×D1111yescharacteristic
1291C4×D4C22×D1111yescharacteristic
1292#117—21no—
1293#117—111no—
1294#117—111no—
1295#117—111no—
1296#117—111no—
1297#117—111no—
1298#117—111no—
1299#117—111no—
1300#117—221no—
1301#117—221no—
1302#117—221no—
1303#117—221no—
1304#117—221no—
1305#117—221no—
1306#117—221no—
1307#117—221no—
1308#117C22×D1111yescharacteristic
1309C2×C4⋊C4—21no—
1310C2×C4⋊C4—111no—
1311C2×C4⋊C4—111no—
1312C2×C4⋊C4—111no—
1313C2×C4⋊C4—111no—
1314C2×C4⋊C4C22⋊D1111yescharacteristic
1315C2×C22⋊C4—21no—
1316C2×C22⋊C4—21no—
1317C2×C22⋊C4—221no—
1318C2×C22⋊C4—221no—
1319C2×C22⋊C4C22⋊D1111yescharacteristic
1320C2×C22⋊C4C22⋊D1111yescharacteristic
1321C2×C42—21no—
1322C2×C42—221no—
1323C2×C42—221no—
1324C2×C42—221no—
1325C2×C42C22×D1111yescharacteristic
1326#107—111no—
1327#107—111no—
1328#107—111no—
1329#107—111no—
1330#107—111no—
1331#107—111no—
1332#106—111no—
1333#106—111no—
1334#106—111no—
1335#106—111no—
1336#106—111no—
1337#106—111no—
1338C4⋊C8—111no—
1339C4⋊C8—111no—
1340C4⋊C8—111no—
1341C4⋊C8—111no—
1342#103—111no—
1343#103—111no—
1344#103—111no—
1345#103—111no—
1346#103—111no—
1347#103—111no—
1348#103—111no—
1349#103—111no—
1350#103—111no—
1351#103—111no—
1352#103—111no—
1353#103—111no—
1354#103—111no—
1355#103—111no—
1356#103—111no—
1357#103—111no—
1358#103—111no—
1359#103—111no—
1360#103—111no—
1361#103—111no—
1362#102—111no—
1363#102—111no—
1364#102—111no—
1365#102—111no—
1366#102—111no—
1367#102—111no—
1368#102—111no—
1369#102—111no—
1370#102—111no—
1371#102—111no—
1372#102—111no—
1373#102—111no—
1374#102—111no—
1375#102—111no—
1376#102—111no—
1377#102—111no—
1378#102—111no—
1379#102—111no—
1380#102—111no—
1381#102—111no—
1382C22⋊C8—111no—
1383C22⋊C8—111no—
1384C22⋊C8—111no—
1385C22⋊C8—111no—
1386C22⋊C8—111no—
1387C22⋊C8—111no—
1388C22⋊C8—111no—
1389C22⋊C8—111no—
1390#97—111no—
1391#97—111no—
1392#97—111no—
1393#97—111no—
1394C2×C11—22no—
1395C2×C11—22no—
1396C2×C11—41no—
1397C2×C11—41no—
1398C2×C11—41no—
1399C2×C11—42no—
1400C2×C11—81no—
1401C2×C11—81no—
1402C2×C11C2×#54611yescharacteristic
1403C2×C11C2×#57511yescharacteristic
1404C2×C11#358411yescharacteristic
1405D11—81no—
1406C24—21no—
1407C24—21no—
1408C24C2×C22⋊D1111yescharacteristic
1409C24C2×C22⋊D1111yescharacteristic
1410#41—22no—
1411#41—22no—
1412#41—22no—
1413#41—22no—
1414#41—22no—
1415#41—22no—
1416#41—22no—
1417#41—22no—
1418#41—22no—
1419#41—44no—
1420#41—44no—
1421#41—41no—
1422#41—41no—
1423#41—41no—
1424#41—41no—
1425#41—44no—
1426#41—44no—
1427#41—222no—
1428#41—222no—
1429#41—444no—
1430#41#434114yescomplemented
1431C2×Q8—21no—
1432C2×Q8—21no—
1433C2×Q8—22no—
1434C2×Q8—22no—
1435C2×Q8—41no—
1436C2×Q8—41no—
1437C2×Q8—111no—
1438C2×Q8—221no—
1439C2×Q8—221no—
1440C2×Q8C23×D1111yescharacteristic
1441C2×Q8C23×D1111yescharacteristic
1442C2×Q8C23×D1111yescharacteristic
1443C2×D4—21no—
1444C2×D4—22no—
1445C2×D4—22no—
1446C2×D4—21no—
1447C2×D4—21no—
1448C2×D4—21no—
1449C2×D4—21no—
1450C2×D4—21no—
1451C2×D4—21no—
1452C2×D4—21no—
1453C2×D4—21no—
1454C2×D4—21no—
1455C2×D4—21no—
1456C2×D4—21no—
1457C2×D4—21no—
1458C2×D4—21no—
1459C2×D4—21no—
1460C2×D4—41no—
1461C2×D4—41no—
1462C2×D4—42no—
1463C2×D4—44no—
1464C2×D4—44no—
1465C2×D4—44no—
1466C2×D4—111no—
1467C2×D4—221no—
1468C2×D4—221no—
1469C2×D4—221no—
1470C2×D4—221no—
1471C2×D4—221no—
1472C2×D4C2×C22⋊D1111yescharacteristic
1473C2×D4C2×C22⋊D1111yescharacteristic
1474C2×D4C2×C22⋊D1111yescharacteristic
1475C2×D4C2×C22⋊D1111yescharacteristic
1476C2×D4C23×D1111yescharacteristic
1477C2×D4C23×D1111yescharacteristic
1478C2×D4C23×D1111yescharacteristic
1479C22×C4—22no—
1480C22×C4—22no—
1481C22×C4—22no—
1482C22×C4—22no—
1483C22×C4—21no—
1484C22×C4—21no—
1485C22×C4—21no—
1486C22×C4—21no—
1487C22×C4—21no—
1488C22×C4—21no—
1489C22×C4—21no—
1490C22×C4—21no—
1491C22×C4—21no—
1492C22×C4—21no—
1493C22×C4—21no—
1494C22×C4—44no—
1495C22×C4—44no—
1496C22×C4—221no—
1497C22×C4—221no—
1498C22×C4—221no—
1499C22×C4—221no—
1500C22×C4—221no—
1501C22×C4—221no—
1502C22×C4—221no—
1503C22×C4C2×C22⋊D1111yescharacteristic
1504C22×C4C2×C22⋊D1111yescharacteristic
1505C22×C4C2×C22⋊D1111yescharacteristic
1506C22×C4C2×C22⋊D1111yescharacteristic
1507C22×C4C2×C22⋊D1111yescharacteristic
1508C22×C4C2×C22⋊D1111yescharacteristic
1509C22×C4C2×C22⋊D1111yescharacteristic
1510C22×C4C2×C22⋊D1111yescharacteristic
1511C22×C4C23×D1111yescharacteristic
1512C22×C4C23×D1111yescharacteristic
1513C22×C4C23×D1111yescharacteristic
1514C22×C4C23×D1111yescharacteristic
1515C22×C4C23×D1111yescharacteristic
1516Q16—222no—
1517Q16—441no—
1518Q16—441no—
1519SD16—222no—
1520SD16—222no—
1521SD16—441no—
1522SD16—441no—
1523SD16—441no—
1524SD16—441no—
1525D8—222no—
1526D8—441no—
1527D8—441no—
1528M16—441no—
1529M16—441no—
1530M16—441no—
1531M16—441no—
1532C2×C8—111no—
1533C2×C8—111no—
1534C2×C8—111no—
1535C2×C8—111no—
1536C2×C8—111no—
1537C2×C8—111no—
1538C2×C8—111no—
1539C2×C8—111no—
1540C2×C8—222no—
1541C2×C8—222no—
1542C2×C8—222no—
1543C2×C8—222no—
1544C2×C8—441no—
1545C2×C8—441no—
1546C2×C8—441no—
1547C2×C8—441no—
1548C4⋊C4—21no—
1549C4⋊C4—21no—
1550C4⋊C4—21no—
1551C4⋊C4—21no—
1552C4⋊C4—21no—
1553C4⋊C4—21no—
1554C4⋊C4—21no—
1555C4⋊C4—21no—
1556C4⋊C4—111no—
1557C4⋊C4—111no—
1558C4⋊C4—111no—
1559C4⋊C4—111no—
1560C4⋊C4—111no—
1561C4⋊C4—111no—
1562C4⋊C4—221no—
1563C4⋊C4—221no—
1564C4⋊C4—221no—
1565C4⋊C4—221no—
1566C4⋊C4—221no—
1567C4⋊C4—221no—
1568C4⋊C4—221no—
1569C4⋊C4—221no—
1570C4⋊C4—221no—
1571C4⋊C4—221no—
1572C4⋊C4—221no—
1573C4⋊C4—221no—
1574C4⋊C4—221no—
1575C4⋊C4—221no—
1576C4⋊C4—221no—
1577C4⋊C4—221no—
1578C4⋊C4C2×C22⋊D1111yescharacteristic
1579C4⋊C4C2×C22⋊D1111yescharacteristic
1580C4⋊C4C2×C22⋊D1111yescharacteristic
1581C4⋊C4C2×C22⋊D1111yescharacteristic
1582C4⋊C4C23×D1111yescharacteristic
1583C4⋊C4C23×D1111yescharacteristic
1584C22⋊C4—21no—
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—21no—
1589C22⋊C4—21no—
1590C22⋊C4—21no—
1591C22⋊C4—21no—
1592C22⋊C4—21no—
1593C22⋊C4—21no—
1594C22⋊C4—21no—
1595C22⋊C4—21no—
1596C22⋊C4—21no—
1597C22⋊C4—21no—
1598C22⋊C4—21no—
1599C22⋊C4—221no—
1600C22⋊C4—221no—
1601C22⋊C4—221no—
1602C22⋊C4—221no—
1603C22⋊C4—221no—
1604C22⋊C4—221no—
1605C22⋊C4—221no—
1606C22⋊C4—221no—
1607C22⋊C4—221no—
1608C22⋊C4—221no—
1609C22⋊C4—221no—
1610C22⋊C4—221no—
1611C22⋊C4—221no—
1612C22⋊C4—221no—
1613C22⋊C4—221no—
1614C22⋊C4—221no—
1615C22⋊C4—221no—
1616C22⋊C4C2×C22⋊D1111yescharacteristic
1617C22⋊C4C2×C22⋊D1111yescharacteristic
1618C22⋊C4C2×C22⋊D1111yescharacteristic
1619C22⋊C4C2×C22⋊D1111yescharacteristic
1620C22⋊C4C2×C22⋊D1111yescharacteristic
1621C22⋊C4C2×C22⋊D1111yescharacteristic
1622C22⋊C4C2×C22⋊D1111yescharacteristic
1623C22⋊C4C2×C22⋊D1111yescharacteristic
1624C42—21no—
1625C42—21no—
1626C42—21no—
1627C42—221no—
1628C42—221no—
1629C42—221no—
1630C42—221no—
1631C42—221no—
1632C42—221no—
1633C42—221no—
1634C42—221no—
1635C42—221no—
1636C42C2×C22⋊D1111yescharacteristic
1637C42C2×C22⋊D1111yescharacteristic
1638C42C23×D1111yescharacteristic
1639C42C23×D1111yescharacteristic
1640C11#6114111yescharacteristic, complemented, Sylow
1641C23—22no—
1642C23—22no—
1643C23—21no—
1644C23—22no—
1645C23—21no—
1646C23—21no—
1647C23—41no—
1648C23—41no—
1649C23—41no—
1650C23—42no—
1651C23—42no—
1652C23—42no—
1653C23—42no—
1654C23—81no—
1655C23—81no—
1656C23—221no—
1657C23C22×C22⋊D1111yescharacteristic
1658C23C22×C22⋊D1111yescharacteristic
1659C23C22×C22⋊D1111yescharacteristic
1660C23C22×C22⋊D1111yescharacteristic
1661C23C22×C22⋊D1111yescharacteristic
1662Q8—21no—
1663Q8—21no—
1664Q8—21no—
1665Q8—21no—
1666Q8—21no—
1667Q8—42no—
1668Q8—42no—
1669Q8—221no—
1670Q8—221no—
1671Q8—442no—
1672Q8—881no—
1673Q8C2×#434112yes—
1674D4—24no—
1675D4—22no—
1676D4—22no—
1677D4—21no—
1678D4—21no—
1679D4—21no—
1680D4—21no—
1681D4—21no—
1682D4—41no—
1683D4—41no—
1684D4—42no—
1685D4—42no—
1686D4—42no—
1687D4—42no—
1688D4—42no—
1689D4—42no—
1690D4—42no—
1691D4—42no—
1692D4—42no—
1693D4—42no—
1694D4—42no—
1695D4—81no—
1696D4—81no—
1697D4—81no—
1698D4—221no—
1699D4—221no—
1700D4—442no—
1701D4—442no—
1702D4—442no—
1703D4—881no—
1704D4—881no—
1705D4C2×#434112yes—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—21no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—24no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—41no—
1727C2×C4—41no—
1728C2×C4—42no—
1729C2×C4—42no—
1730C2×C4—42no—
1731C2×C4—42no—
1732C2×C4—42no—
1733C2×C4—42no—
1734C2×C4—42no—
1735C2×C4—42no—
1736C2×C4—42no—
1737C2×C4—81no—
1738C2×C4—221no—
1739C2×C4—221no—
1740C2×C4—221no—
1741C2×C4—221no—
1742C2×C4—221no—
1743C2×C4—221no—
1744C2×C4—221no—
1745C2×C4—442no—
1746C2×C4—442no—
1747C2×C4—442no—
1748C2×C4—442no—
1749C2×C4—881no—
1750C2×C4—881no—
1751C2×C4—881no—
1752C2×C4C2×#434112yes—
1753C2×C4#6703712yes—
1754C2×C4C22×C22⋊D1111yescharacteristic
1755C2×C4C22×C22⋊D1111yescharacteristic
1756C2×C4C22×C22⋊D1111yescharacteristic
1757C2×C4C22×C22⋊D1111yescharacteristic
1758C2×C4C22×C22⋊D1111yescharacteristic
1759C2×C4C22×C22⋊D1111yescharacteristic
1760C2×C4C22×C22⋊D1111yescharacteristic
1761C2×C4C22×C22⋊D1111yescharacteristic
1762C2×C4C22×C22⋊D1111yescharacteristic
1763C2×C4C24×D1111yescharacteristic
1764C8—221no—
1765C8—221no—
1766C8—221no—
1767C8—221no—
1768C8—221no—
1769C8—221no—
1770C8—221no—
1771C8—221no—
1772C22—21no—
1773C22—21no—
1774C22—21no—
1775C22—21no—
1776C22—21no—
1777C22—21no—
1778C22—21no—
1779C22—22no—
1780C22—21no—
1781C22—21no—
1782C22—21no—
1783C22—21no—
1784C22—21no—
1785C22—21no—
1786C22—44no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—82no—
1796C22—84no—
1797C22—84no—
1798C22—441no—
1799C22—441no—
1800C22—441no—
1801C22#1062333712yes—
1802C22#1062335312yes—
1803C22C23×C22⋊D1111yescharacteristic
1804C4—21no—
1805C4—21no—
1806C4—21no—
1807C4—21no—
1808C4—22no—
1809C4—21no—
1810C4—21no—
1811C4—21no—
1812C4—21no—
1813C4—41no—
1814C4—41no—
1815C4—41no—
1816C4—41no—
1817C4—441no—
1818C4—441no—
1819C4—441no—
1820C4—441no—
1821C4—441no—
1822C4—441no—
1823C4—441no—
1824C4#1062333712yes—
1825C4C22×#434111yescharacteristic
1826C4C2×#6703711yescharacteristic
1827C2—22no—
1828C2—22no—
1829C2—41no—
1830C2—41no—
1831C2—41no—
1832C2—42no—
1833C2—81no—
1834C2—81no—
1835C2—881no—
1836C2C2×#1062333711yescharacteristic
1837C2C2×#1062335311yescharacteristic
1838C2#1308338711yescharacteristic
subgroupG/H
centerC2×C4C22×C22⋊D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingD4×C11×#41C2
socleC22×C11C23×D4
hypercenterD4×#41D11
hypocenterC11#61141
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C2×C4 ◁ C2×C4×D4 ◁ D4×#41

Complements

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

NH ≅ G/Ntype
1. #13082174C2semidirect
2. #13080802C2semidirect
3. #13080787C2semidirect
4. #13080772C2semidirect
5. #13080757C2semidirect
6. #13080742C2semidirect
7. #13080727C2semidirect
8. #13080712C2semidirect
9. #13080697C2semidirect
10. #13080682C2semidirect
11. #13080667C2semidirect
12. #13080652C2semidirect
13. #13080637C2semidirect
14. #13080622C2semidirect
15. #13080607C2semidirect
16. #13080592C2semidirect
17. #13080577C2semidirect
18. #13078961C2semidirect
19. #13078525C2semidirect
20. #13078525C2semidirect
21. #13078404C2semidirect
22. #13078222C2semidirect
23. #13078194C2semidirect
24. #13078065C2semidirect
25. #13077834C2semidirect
26. #13077834C2semidirect
27. #13077414C2semidirect
28. C2×#10622624C2semidirect
29. #13077135C2semidirect
30. C2×#10622846C2semidirect
31. D4×C11×#41C2semidirect
56. C2×#67003C22semidirect
57. C2×#67003C22semidirect
59. #10623322C22semidirect
60. #10623322C22semidirect
61. C2×#66979C22semidirect
62. C2×#66979C22semidirect
63. C22×#4318C22semidirect
64. C23×C11⋊C8C22semidirect
66. #10623096C22semidirect
67. #10623094C22semidirect
69. #10623086C22semidirect
70. #10623074C22semidirect
71. #10623073C22semidirect
73. #10623072C22semidirect
80. C4×#4339C22semidirect
81. #10623001C22semidirect
82. #10622852C22semidirect
83. #10622852C22semidirect
84. #10622852C22semidirect
85. #10622852C22semidirect
86. #10622851C22semidirect
87. #10622851C22semidirect
88. #10622851C22semidirect
89. #10622851C22semidirect
93. #10622846C22semidirect
94. #10622846C22semidirect
95. #10622846C22semidirect
96. #10622846C22semidirect
97. #10622846C22semidirect
98. #10622846C22semidirect
99. #10622846C22semidirect
100. #10622846C22semidirect
101. #10622846C22semidirect
102. #10622846C22semidirect
103. #10622845C22semidirect
104. #10622845C22semidirect
105. #10622845C22semidirect
106. #10622845C22semidirect
107. #10622841C22semidirect
108. #10622841C22semidirect
109. #10622840C22semidirect
110. #10622840C22semidirect
111. #10622838C22semidirect
112. #10622838C22semidirect
113. C2×#66899C22semidirect
114. C2×#66899C22semidirect
115. #10622831C22semidirect
116. #10622831C22semidirect
117. #10622830C22semidirect
118. #10622830C22semidirect
119. #10622828C22semidirect
120. #10622828C22semidirect
121. C2×#66896C22semidirect
122. C2×#66896C22semidirect
123. C2×C22⋊(C11⋊C8)C22semidirect
124. C2×C22⋊(C11⋊C8)C22semidirect
125. #10622703C22semidirect
126. #10622696C22semidirect
127. #10622695C22semidirect
128. #10622695C22semidirect
129. #10622688C22semidirect
130. #10622685C22semidirect
131. #10622684C22semidirect
132. #10622684C22semidirect
133. #10622670C22semidirect
134. #10622670C22semidirect
135. #10622668C22semidirect
136. #10622668C22semidirect
137. #10622668C22semidirect
138. #10622668C22semidirect
139. #10622667C22semidirect
140. #10622667C22semidirect
141. #10622665C22semidirect
142. #10622665C22semidirect
143. #10622664C22semidirect
144. #10622664C22semidirect
145. #10622662C22semidirect
146. #10622662C22semidirect
147. #10622661C22semidirect
148. #10622661C22semidirect
149. #10622658C22semidirect
150. #10622658C22semidirect
151. #10622658C22semidirect
152. #10622658C22semidirect
153. #10622657C22semidirect
154. #10622657C22semidirect
155. #10622656C22semidirect
156. #10622656C22semidirect
157. #10622655C22semidirect
158. #10622655C22semidirect
159. #10622654C22semidirect
160. #10622654C22semidirect
161. #10622652C22semidirect
162. #10622652C22semidirect
163. #10622651C22semidirect
164. #10622651C22semidirect
165. #10622648C22semidirect
166. #10622648C22semidirect
167. #10622648C22semidirect
168. #10622648C22semidirect
169. #10622647C22semidirect
170. #10622647C22semidirect
171. #10622646C22semidirect
172. #10622646C22semidirect
173. #10622643C22semidirect
174. #10622643C22semidirect
175. #10622639C22semidirect
176. #10622639C22semidirect
177. #10622635C22semidirect
178. #10622635C22semidirect
179. #10622634C22semidirect
180. #10622633C22semidirect
181. #10622631C22semidirect
182. #10622631C22semidirect
183. #10622627C22semidirect
184. #10622627C22semidirect
187. #10622624C22semidirect
188. #10622624C22semidirect
189. #10622624C22semidirect
190. #10622624C22semidirect
191. #10622624C22semidirect
192. #10622624C22semidirect
193. #10622622C22semidirect
194. #10622622C22semidirect
195. #10622621C22semidirect
196. #10622620C22semidirect
197. #10622615C22semidirect
198. #10622611C22semidirect
199. #10622611C22semidirect
200. #10622611C22semidirect
201. C2×C4⋊(C11⋊C8)C22semidirect
202. C2×#66867C22semidirect
509. C11×#41#41semidirect
723. D4×#41D11semidirect
1430. #41#4341semidirect
1640. C11#61141semidirect

Maximal subgroups

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

subgroupindex
#130821742
#130808022
#130807872
#130807722
#130807572
#130807422
#130807272
#130807122
#130806972
#130806822
#130806672
#130806522
#130806372
#130806222
#130806072
#130805922
#130805772
#130789612
#130785252
#130784042
#130782222
#130781942
#130780652
#130778342
#130774142
C2×#106226242
#130771352
C2×#106228462
D4×C11×#412
#6114111