Finite Group Databasebeta

← #15630732

Subgroups — #15630732

Order 2816.

2132 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#13082169C211yesmaximal, characteristic, complemented
2#13082100C211yesmaximal, characteristic, complemented
3#13080949C211yesmaximal, characteristic, complemented
4#13080941C211yesmaximal, characteristic, complemented
5#13080925C211yesmaximal, characteristic, complemented
6#13080917C211yesmaximal, characteristic, complemented
7#13080908C211yesmaximal, characteristic, complemented
8#13080894C211yesmaximal, characteristic, complemented
9#13080891C211yesmaximal, characteristic, complemented
10#13080878C211yesmaximal, characteristic, complemented
11#13080871C211yesmaximal, characteristic, complemented
12#13080868C211yesmaximal, characteristic, complemented
13#13080854C211yesmaximal, characteristic, complemented
14#13080840C211yesmaximal, characteristic, complemented
15#13080837C211yesmaximal, characteristic, complemented
16#13080817C211yesmaximal, characteristic, complemented
17#13080814C211yesmaximal, characteristic, complemented
18#13078937C211yesmaximal, characteristic, complemented
19#13078534C211yesmaximal, characteristic, complemented
20#13078526C211yesmaximal, characteristic, complemented
21#13078401C211yesmaximal, characteristic, complemented
22#13078227C211yesmaximal, characteristic, complemented
23#13078220C211yesmaximal, characteristic, complemented
24#13078070C211yesmaximal, characteristic, complemented
25#13077837C211yesmaximal, characteristic, complemented
26#13077835C211yesmaximal, characteristic, complemented
27C4×#66969C211yesmaximal, characteristic, complemented
28D11×#436C211yesmaximal, characteristic, complemented
29#13077132C211yesmaximal, characteristic, complemented
30#13077130C211yesmaximal, characteristic, complemented
31C11×#3323C211yesmaximal, characteristic, complemented
32C2×#41×D11C2211yescharacteristic
33C22×#4341C2211yescharacteristic
34C11×#552C2211yescharacteristic, complemented
35C11×#546C2211yescharacteristic
36#10623355C2211yescharacteristic
37D4×C22⋊D11C2211yescharacteristic
38C2×#66972C2211yescharacteristic, complemented
39C2×#66969C2211yescharacteristic
40C2×#66969C2211yescharacteristic, complemented
41C2×M16×D11C2211yescharacteristic, complemented
42C2×M16×D11C2211yescharacteristic, complemented
43#10623237—21no—
44#10623236—21no—
45#10623226C2211yescharacteristic, complemented
46#10623224—21no—
47#10623222—21no—
48#10623219C2211yescharacteristic, complemented
49#10623208C2211yescharacteristic
50#10623199C2211yescharacteristic
51#10623187—21no—
52#10623186—21no—
53#10623185—21no—
54#10623180—21no—
55#10623172C2211yescharacteristic
56#10623166C2211yescharacteristic, complemented
57#10623163C2211yescharacteristic
58#10623158C2211yescharacteristic
59#10623158C2211yescharacteristic, complemented
60#10623158C2211yescharacteristic, complemented
61#10623141—21no—
62#10623137C2211yescharacteristic
63#10623130C2211yescharacteristic
64#10623127—21no—
65#10623121—21no—
66#10623117—21no—
67#10623112C2211yescharacteristic, complemented
68C4×#4343C2211yescharacteristic, complemented
69#10623096C2211yescharacteristic, complemented
70#10623085C2211yescharacteristic
71#10623083C2211yescharacteristic
72C4×D4×D11C2211yescharacteristic
73C4×#4341C2211yescharacteristic
74#10623063C2211yescharacteristic
75#10623058—21no—
76#10623053—21no—
77D11×#117C2211yescharacteristic, complemented
78#10623038C2211yescharacteristic, complemented
79C2×#66945C2211yescharacteristic, complemented
80#10623021—21no—
81C2×(C22⋊D11)⋊C4—21no—
82C11×#488C2211yescharacteristic, complemented
83C11×#485C2211yescharacteristic, complemented
84C11×#481C2211yescharacteristic, complemented
85C11×#478C2211yescharacteristic, complemented
86C11×#470C2211yescharacteristic, complemented
87C11×#468C2211yescharacteristic, complemented
88C11×#464C2211yescharacteristic, complemented
89C11×#452C2211yescharacteristic, complemented
90C11×#450C2211yescharacteristic, complemented
91C4×C11×SD16C2211yescharacteristic, complemented
92C11×#436C2211yescharacteristic, complemented
93C11×#418C2211yescharacteristic, complemented
94C11×#417C2211yescharacteristic, complemented
95#10622851C2211yescharacteristic, complemented
96#10622845C2211yescharacteristic, complemented
97#10622830C2211yescharacteristic, complemented
98#10622828C2211yescharacteristic, complemented
99#10622802C2211yescharacteristic, complemented
100#10622799C2211yescharacteristic, complemented
101#10622795C2211yescharacteristic, complemented
102#10622787C2211yescharacteristic, complemented
103#10622786C2211yescharacteristic, complemented
104#10622786C2211yescharacteristic, complemented
105#10622782C2211yescharacteristic, complemented
106#10622776C2211yescharacteristic, complemented
107SD16×Dic11C2211yescharacteristic, complemented
108#10622748C2211yescharacteristic, complemented
109#10622747C2211yescharacteristic, complemented
110#10622746C2211yescharacteristic, complemented
111#10622741C2211yescharacteristic
112#10622741C2211yescharacteristic, complemented
113#10622733C2211yescharacteristic, complemented
114#10622681C2211yescharacteristic, complemented
115#10622676C2211yescharacteristic, complemented
116#10622670C2211yescharacteristic, complemented
117#10622669C2211yescharacteristic, complemented
118#10622665C2211yescharacteristic, complemented
119#10622663C2211yescharacteristic, complemented
120#10622662C2211yescharacteristic, complemented
121#10622662C2211yescharacteristic, complemented
122#10622660C2211yescharacteristic, complemented
123#10622658C2211yescharacteristic, complemented
124#10622652C2211yescharacteristic, complemented
125#10622646C2211yescharacteristic, complemented
126C4×#4326C2211yescharacteristic, complemented
127#10622641C2211yescharacteristic, complemented
128C4×#4323C2211yescharacteristic, complemented
129#10622625C2211yescharacteristic, complemented
130#10622622C2211yescharacteristic, complemented
131#10622617C2211yescharacteristic, complemented
132#10622616C2211yescharacteristic, complemented
133#10622583C2211yescharacteristic, complemented
134#10622579C2211yescharacteristic, complemented
135#10622499C2211yescharacteristic, complemented
136#10622495C2211yescharacteristic, complemented
137#10622493C2211yescharacteristic, complemented
138#10622488C2211yescharacteristic, complemented
139#10622480C2211yescharacteristic, complemented
140#10622480C2211yescharacteristic, complemented
141#10622478C2211yescharacteristic, complemented
142#10622476C2211yescharacteristic, complemented
143#10622473C2211yescharacteristic, complemented
144#10622473C2211yescharacteristic, complemented
145#10622467C2211yescharacteristic, complemented
146#10622465C2211yescharacteristic, complemented
147#10622457C2211yescharacteristic, complemented
148#10622451C2211yescharacteristic, complemented
149D11×C4⋊C8C2211yescharacteristic, complemented
150#10622442C2211yescharacteristic, complemented
151#10622431C2211yescharacteristic, complemented
152#10622429C2211yescharacteristic, complemented
153#10622425C2211yescharacteristic, complemented
154#10622425C2211yescharacteristic, complemented
155#10622422C2211yescharacteristic, complemented
156#10622419C2211yescharacteristic, complemented
157#10622418C2211yescharacteristic, complemented
158#10622417C2211yescharacteristic, complemented
159#10622417C2211yescharacteristic, complemented
160#10622417C2211yescharacteristic, complemented
161#10622417C2211yescharacteristic, complemented
162#10622415C2211yescharacteristic, complemented
163#10622415C2211yescharacteristic, complemented
164#10622405C2211yescharacteristic, complemented
165#10622405C2211yescharacteristic, complemented
166#10622403C2211yescharacteristic, complemented
167#10622399C2211yescharacteristic, complemented
168#10622395C2211yescharacteristic, complemented
169#10622394C2211yescharacteristic, complemented
170#10622394C2211yescharacteristic, complemented
171#10622392C2211yescharacteristic, complemented
172#10622392C2211yescharacteristic, complemented
173#10622386C2211yescharacteristic, complemented
174#10622385C2211yescharacteristic
175#10622385C2211yescharacteristic
176#10622385C2211yescharacteristic
177#10622385C2211yescharacteristic, complemented
178#10622385C2211yescharacteristic, complemented
179#10622385C2211yescharacteristic, complemented
180#10622384C2211yescharacteristic, complemented
181#10622384C2211yescharacteristic, complemented
182#10622384C2211yescharacteristic, complemented
183#10622384C2211yescharacteristic, complemented
184#10622383C2211yescharacteristic, complemented
185#10622383C2211yescharacteristic, complemented
186#10622374C2211yescharacteristic, complemented
187#10622373C2211yescharacteristic, complemented
188#10622373C2211yescharacteristic, complemented
189#10622372C2211yescharacteristic, complemented
190#10622369C2211yescharacteristic, complemented
191#10622351C2211yescharacteristic, complemented
192#10622350C2211yescharacteristic, complemented
193#10622347C2211yescharacteristic, complemented
194#10622342C2211yescharacteristic
195#10622342C2211yescharacteristic, complemented
196D11×C22⋊C8C2211yescharacteristic, complemented
197D11×C22⋊C8C2211yescharacteristic, complemented
198#10622334C2211yescharacteristic, complemented
199#10622310C2211yescharacteristic, complemented
200C4×#4314C2211yescharacteristic, complemented
201#10622301C2211yescharacteristic, complemented
202C4×C8×D11C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C22×D4×C11C2311yescharacteristic
205C22×C22⋊D11—21no—
206C22×C22⋊D11—21no—
207C23×Dic11—21no—
208#41×D11—24no—
209#41×D11—42no—
210C2×#4343C2311yescharacteristic
211C2×#4343C2311yescharacteristic
212C2×Q8×D11C2311yescharacteristic
213C2×#4341—24no—
214C2×#4341—21no—
215C2×#4341—21no—
216C2×#4341—21no—
217C2×#4341—42no—
218C2×#4341C2311yescharacteristic
219C2×#4341C2311yescharacteristic
220C2×#4341C2311yescharacteristic
221C2×#4341C2311yescharacteristic
222C2×D4×D11—21no—
223C2×D4×D11D411yescharacteristic
224C2×D4×D11C2311yescharacteristic
225C2×#4339—21no—
226C2×#4339—21no—
227C2×#4339C2311yescharacteristic
228C22×C4×D11—21no—
229C22×C4×D11C2311yescharacteristic
230C22×C4×D11C2311yescharacteristic
231C22×Dic22C2311yescharacteristic
232C2×C11×Q16C2311yescharacteristic
233C2×C11×SD16C2311yescharacteristic
234C2×C11×SD16C2311yescharacteristic
235C2×C11×M16C2311yescharacteristic
236C2×C11×M16C2311yescharacteristic
237C11×#126—21no—
238C11×#125—21no—
239C11×#125C2311yescharacteristic
240C11×#124C2311yescharacteristic
241C11×#123—21no—
242C11×#123—21no—
243C11×C22⋊Q8C2311yescharacteristic
244C11×C22⋊Q8C2311yescharacteristic
245C11×C22⋊Q8C2311yescharacteristic
246C11×#121—21no—
247C11×#121C2311yescharacteristic
248C11×#120—21no—
249C4×Q8×C11C2311yescharacteristic
250C4×D4×C11C2311yescharacteristic
251C4×D4×C11C2311yescharacteristic
252C11×#117—21no—
253C11×#117C2311yescharacteristic
254C2×C11×C4⋊C4C2311yescharacteristic
255C2×C11×C22⋊C4—21no—
256#67006—21no—
257#66999C2311yescharacteristic
258#66999C2311yescharacteristic
259#66999C2311yescharacteristic
260Q8×Dic11C2311yescharacteristic
261#66997C2311yescharacteristic
262C2×#4326C2311yescharacteristic
263C2×#4326C2311yescharacteristic
264C2×#4325C2311yescharacteristic
265C2×#4325C2311yescharacteristic
266#66993—21no—
267#66993C2311yescharacteristic
268#66992—21no—
269#66992—21no—
270#66992—21no—
271#66992—21no—
272#66992—21no—
273#66991C2311yescharacteristic
274#66990—21no—
275#66990—21no—
276#66988—21no—
277D4×Dic11—21no—
278D4×Dic11D411yescharacteristic
279D4×Dic11C2311yescharacteristic
280C2×#4323C2311yescharacteristic
281C2×#4323C2311yescharacteristic
282#66983—21no—
283#66983C2311yescharacteristic
284#66983C2311yescharacteristic
285#66983C2311yescharacteristic
286#66982—21no—
287#66982—21no—
288C4×C22⋊D11—21no—
289C4×C22⋊D11C2311yescharacteristic
290C4×C22⋊D11C2311yescharacteristic
291C2×(C2×D11)⋊C4—21no—
292C2×(C2×D11)⋊C4—21no—
293#66979C2311yescharacteristic
294C2×C4⋊Dic11C2311yescharacteristic
295#66977C2311yescharacteristic
296C2×Dic11⋊C4—21no—
297C2×C4×Dic11—21no—
298C2×C4×Dic11—21no—
299C2×#4318C2311yescharacteristic
300C2×#4318C2311yescharacteristic
301#66972—42no—
302#66969—24no—
303#66969—42no—
304M16×D11—42no—
305M16×D11—42no—
306C2×D88C2311yescharacteristic
307C2×#4314C2311yescharacteristic
308C2×#4314C2311yescharacteristic
309C2×#4313C2311yescharacteristic
310C2×#4313C2311yescharacteristic
311C2×#4313C2311yescharacteristic
312C2×#4313C2311yescharacteristic
313C2×C8×D11C2311yescharacteristic
314C2×C8×D11C2311yescharacteristic
315C2×C8×D11C2311yescharacteristic
316C2×C8×D11C2311yescharacteristic
317#66951—21no—
318#66951—21no—
319#66951—21no—
320#66950—21no—
321#66950C2311yescharacteristic
322#66949—21no—
323#66949—21no—
324#66949—21no—
325#66949—21no—
326#66949—21no—
327#66948—21no—
328#66948C2311yescharacteristic
329#66948C2311yescharacteristic
330#66948C2311yescharacteristic
331#66947—21no—
332#66947—21no—
333#66947—21no—
334#66947—21no—
335#66947—21no—
336#66947—21no—
337#66946—21no—
338#66946—21no—
339#66946—21no—
340#66946—21no—
341#66946—21no—
342#66946D411yescharacteristic
343#66946C2311yescharacteristic
344#66945—21no—
345#66945—21no—
346#66945—21no—
347#66945C2311yescharacteristic
348#66945C2311yescharacteristic
349#66945C2311yescharacteristic
350#66945C2311yescharacteristic
351#66945C2311yescharacteristic
352#66945C2311yescharacteristic
353C4⋊C4×D11D411yescharacteristic
354C4⋊C4×D11C2311yescharacteristic
355C4⋊C4×D11C2311yescharacteristic
356#66942—21no—
357#66942—21no—
358#66941—21no—
359#66941C2311yescharacteristic
360#66941C2311yescharacteristic
361#66940—21no—
362#66940—21no—
363#66940—21no—
364#66940C2311yescharacteristic
365#66939—21no—
366#66938—21no—
367#66938—21no—
368#66938—21no—
369#66938—21no—
370#66937—21no—
371#66937—21no—
372#66937—21no—
373#66937—21no—
374#66937—21no—
375#66936—21no—
376#66936—21no—
377#66935—21no—
378#66935—21no—
379#66935—21no—
380#66935—21no—
381(C22⋊D11)⋊C4—21no—
382(C22⋊D11)⋊C4—21no—
383(C22⋊D11)⋊C4—21no—
384(C22⋊D11)⋊C4—21no—
385(C22⋊D11)⋊C4—21no—
386(C22⋊D11)⋊C4—21no—
387(C22⋊D11)⋊C4—21no—
388(C22⋊D11)⋊C4—21no—
389(C22⋊D11)⋊C4—21no—
390(C22⋊D11)⋊C4—21no—
391(C22⋊D11)⋊C4—21no—
392(C22⋊D11)⋊C4—21no—
393(C22⋊D11)⋊C4—21no—
394(C22⋊D11)⋊C4D411yescharacteristic
395(C22⋊D11)⋊C4D411yescharacteristic
396C22⋊C4×D11—21no—
397C22⋊C4×D11D411yescharacteristic
398C22⋊C4×D11D411yescharacteristic
399#66932—21no—
400#66931—21no—
401#66931—21no—
402#66931—21no—
403#66930—21no—
404#66930—21no—
405#66929—21no—
406#66928—21no—
407#66928C2311yescharacteristic
408C4×D44—21no—
409C4×D44C2311yescharacteristic
410C4×D44C2311yescharacteristic
411#66925—21no—
412#66925—21no—
413#66925—21no—
414C42×D11—21no—
415C42×D11—21no—
416C42×D11C2311yescharacteristic
417#66923C2311yescharacteristic
418C4×Dic22C2311yescharacteristic
419C11×#107C2311yescharacteristic
420C11×#106C2311yescharacteristic
421C11×#106C2311yescharacteristic
422C11×C4⋊C8C2311yescharacteristic
423C11×#103C2311yescharacteristic
424C11×#103C2311yescharacteristic
425C11×#103C2311yescharacteristic
426C11×#103C2311yescharacteristic
427C11×#102C2311yescharacteristic
428C11×#102C2311yescharacteristic
429C11×#102C2311yescharacteristic
430C11×#102C2311yescharacteristic
431C11×#102C2311yescharacteristic
432C11×#102C2311yescharacteristic
433C11×C22⋊C8C2311yescharacteristic
434C11×C22⋊C8C2311yescharacteristic
435C4×C8×C11C2311yescharacteristic
436#66899C2311yescharacteristic
437#66899C2311yescharacteristic
438#66899C2311yescharacteristic
439#66899C2311yescharacteristic
440#66896C2311yescharacteristic
441#66896C2311yescharacteristic
442#66896C2311yescharacteristic
443#66896C2311yescharacteristic
444#66896C2311yescharacteristic
445#66896C2311yescharacteristic
446C22⋊(C11⋊C8)C2311yescharacteristic
447C22⋊(C11⋊C8)C2311yescharacteristic
448#66885C2311yescharacteristic
449#66885C2311yescharacteristic
450#66885C2311yescharacteristic
451#66885C2311yescharacteristic
452(C2×D11)⋊C8C2311yescharacteristic
453(C2×D11)⋊C8C2311yescharacteristic
454(C2×D11)⋊C8C2311yescharacteristic
455(C2×D11)⋊C8C2311yescharacteristic
456#66882C2311yescharacteristic
457#66881C2311yescharacteristic
458#66881C2311yescharacteristic
459#66880C2311yescharacteristic
460#66880C2311yescharacteristic
461#66880C2311yescharacteristic
462#66880C2311yescharacteristic
463#66880C2311yescharacteristic
464#66880C2311yescharacteristic
465Dic11⋊C8C2311yescharacteristic
466Dic11⋊C8C2311yescharacteristic
467C8×Dic11C2311yescharacteristic
468C8×Dic11C2311yescharacteristic
469#66874C2311yescharacteristic
470#66874C2311yescharacteristic
471#66874C2311yescharacteristic
472#66874C2311yescharacteristic
473#66874C2311yescharacteristic
474#66874C2311yescharacteristic
475#66873C2311yescharacteristic
476#66873C2311yescharacteristic
477#66873C2311yescharacteristic
478#66873C2311yescharacteristic
479#66872C2311yescharacteristic
480#66872C2311yescharacteristic
481#66871C2311yescharacteristic
482#66871C2311yescharacteristic
483#66871C2311yescharacteristic
484#66871C2311yescharacteristic
485C4⋊(C11⋊C8)C2311yescharacteristic
486C4×C11⋊C8C2311yescharacteristic
487#61154—111nomaximal, Sylow
488C24×C11—21no—
489C23×D11—21no—
490C23×D11C2×D411yescharacteristic
491C23×D11C2×D411yescharacteristic
492C11×#41—22no—
493C11×#41—41no—
494C2×Q8×C11C2411yescharacteristic
495C2×Q8×C11C2411yescharacteristic
496C2×D4×C11—22no—
497C2×D4×C11—21no—
498C2×D4×C11—21no—
499C2×D4×C11—21no—
500C2×D4×C11—41no—
501C2×D4×C11C2×D411yescharacteristic
502C2×D4×C11C2411yescharacteristic
503C2×D4×C11C2411yescharacteristic
504C22×C4×C11—21no—
505C22×C4×C11—21no—
506C22×C4×C11—21no—
507C22×C4×C11C2411yescharacteristic
508C22×C4×C11C2411yescharacteristic
509C2×C22⋊D11—21no—
510C2×C22⋊D11—21no—
511C2×C22⋊D11—21no—
512C2×C22⋊D11—21no—
513C2×C22⋊D11—21no—
514C2×C22⋊D11—21no—
515C2×C22⋊D11—21no—
516C2×C22⋊D11—21no—
517C2×C22⋊D11—21no—
518C2×C22⋊D11—21no—
519C2×C22⋊D11—21no—
520C2×C22⋊D11—21no—
521C2×C22⋊D11—44no—
522C2×C22⋊D11—44no—
523C2×C22⋊D11C2×D411yescharacteristic
524C2×C22⋊D11C2×D411yescharacteristic
525C22×Dic11—21no—
526C22×Dic11—21no—
527C22×Dic11—21no—
528C22×Dic11—21no—
529C22×Dic11—21no—
530C22×Dic11—21no—
531C22×Dic11—21no—
532C22×Dic11—44no—
533C22×Dic11C2×D411yescharacteristic
534C22×Dic11C2×D411yescharacteristic
535#4343—22no—
536#4343—22no—
537#4343—22no—
538#4343—22no—
539Q8×D11—22no—
540Q8×D11—41no—
541#4341—22no—
542#4341—22no—
543#4341—22no—
544#4341—22no—
545#4341—22no—
546#4341—41no—
547#4341—41no—
548#4341—44no—
549#4341—44no—
550#4341—44no—
551#4341#4114yescomplemented
552D4×D11—22no—
553D4×D11—41no—
554D4×D11—44no—
555D4×D11—42no—
556#4339—22no—
557#4339—41no—
558#4339—44no—
559#4339—44no—
560C2×D44—21no—
561C2×D44—21no—
562C2×D44—21no—
563C2×D44—21no—
564C2×D44—21no—
565C2×D44C2×D411yescharacteristic
566C2×D44C2411yescharacteristic
567C2×D44C2411yescharacteristic
568C2×C4×D11—22no—
569C2×C4×D11—22no—
570C2×C4×D11—22no—
571C2×C4×D11—22no—
572C2×C4×D11—21no—
573C2×C4×D11—21no—
574C2×C4×D11—21no—
575C2×C4×D11—21no—
576C2×C4×D11—21no—
577C2×C4×D11—21no—
578C2×C4×D11—21no—
579C2×C4×D11—21no—
580C2×C4×D11—44no—
581C2×C4×D11C2×D411yescharacteristic
582C2×C4×D11C2×D411yescharacteristic
583C2×C4×D11C2×D411yescharacteristic
584C2×C4×D11C2×D411yescharacteristic
585C2×C4×D11C2×D411yescharacteristic
586C2×C4×D11C2×D411yescharacteristic
587C2×C4×D11C2411yescharacteristic
588C2×C4×D11C2411yescharacteristic
589C2×C4×D11C2411yescharacteristic
590C2×Dic22—22no—
591C2×Dic22—21no—
592C2×Dic22—21no—
593C2×Dic22—21no—
594C2×Dic22—21no—
595C2×Dic22—41no—
596C2×Dic22C2411yescharacteristic
597C2×Dic22C2411yescharacteristic
598C11×Q16—41no—
599C11×SD16—22no—
600C11×SD16—41no—
601C11×M16—41no—
602C11×M16—41no—
603C2×C8×C11C2411yescharacteristic
604C2×C8×C11C2411yescharacteristic
605C2×C8×C11C2411yescharacteristic
606C2×C8×C11C2411yescharacteristic
607C11×C4⋊C4—21no—
608C11×C4⋊C4—21no—
609C11×C4⋊C4—21no—
610C11×C4⋊C4—21no—
611C11×C4⋊C4—21no—
612C11×C4⋊C4—21no—
613C11×C4⋊C4—21no—
614C11×C4⋊C4C2×D411yescharacteristic
615C11×C4⋊C4C2411yescharacteristic
616C11×C4⋊C4C2411yescharacteristic
617C11×C4⋊C4C2411yescharacteristic
618C11×C4⋊C4C2411yescharacteristic
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
629C42×C11—21no—
630C42×C11—21no—
631C42×C11C2411yescharacteristic
632C22⋊Dic11—21no—
633C22⋊Dic11—21no—
634C22⋊Dic11—21no—
635C22⋊Dic11—21no—
636C22⋊Dic11C2×D411yescharacteristic
637C22⋊Dic11C2×D411yescharacteristic
638#4326—22no—
639#4326—41no—
640#4325—41no—
641#4325—41no—
642#4323—22no—
643#4323—41no—
644(C2×D11)⋊C4—21no—
645(C2×D11)⋊C4—21no—
646(C2×D11)⋊C4—21no—
647(C2×D11)⋊C4—21no—
648(C2×D11)⋊C4—21no—
649(C2×D11)⋊C4—21no—
650(C2×D11)⋊C4—21no—
651(C2×D11)⋊C4—21no—
652(C2×D11)⋊C4—21no—
653(C2×D11)⋊C4—21no—
654(C2×D11)⋊C4—21no—
655(C2×D11)⋊C4—21no—
656(C2×D11)⋊C4—21no—
657(C2×D11)⋊C4—21no—
658(C2×D11)⋊C4—21no—
659(C2×D11)⋊C4—21no—
660(C2×D11)⋊C4—21no—
661(C2×D11)⋊C4—21no—
662(C2×D11)⋊C4—21no—
663(C2×D11)⋊C4—21no—
664(C2×D11)⋊C4C2×D411yescharacteristic
665(C2×D11)⋊C4C2×D411yescharacteristic
666(C2×D11)⋊C4C2×D411yescharacteristic
667(C2×D11)⋊C4C2×D411yescharacteristic
668C4⋊Dic11—21no—
669C4⋊Dic11—21no—
670C4⋊Dic11—21no—
671C4⋊Dic11C2×D411yescharacteristic
672C4⋊Dic11C2411yescharacteristic
673C4⋊Dic11C2411yescharacteristic
674C4⋊Dic11C2411yescharacteristic
675C4⋊Dic11C2411yescharacteristic
676Dic11⋊C4—21no—
677Dic11⋊C4—21no—
678Dic11⋊C4—21no—
679Dic11⋊C4—21no—
680Dic11⋊C4—21no—
681Dic11⋊C4—21no—
682Dic11⋊C4—21no—
683Dic11⋊C4—21no—
684Dic11⋊C4—21no—
685Dic11⋊C4—21no—
686Dic11⋊C4—21no—
687Dic11⋊C4—21no—
688Dic11⋊C4—21no—
689Dic11⋊C4—21no—
690Dic11⋊C4C2×D411yescharacteristic
691Dic11⋊C4C2×D411yescharacteristic
692C4×Dic11—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—
702C4×Dic11C2×D411yescharacteristic
703C4×Dic11C2×D411yescharacteristic
704C4×Dic11C2411yescharacteristic
705#4318—41no—
706#4318—41no—
707C2×C11⋊C8C2411yescharacteristic
708C2×C11⋊C8C2411yescharacteristic
709C2×C11⋊C8C2411yescharacteristic
710C2×C11⋊C8C2411yescharacteristic
711D88—41no—
712#4314—22no—
713#4314—41no—
714#4313—41no—
715#4313—41no—
716#4313—41no—
717#4313—41no—
718C8×D11—22no—
719C8×D11—22no—
720C8×D11—22no—
721C8×D11—22no—
722#3475—111no—
723D4×#41—111no—
724#3333—111no—
725#3332—111no—
726#3331—111no—
727#3330—111no—
728#3329—111no—
729#3328—111no—
730#3327—111no—
731#3327—111no—
732#3326—111no—
733#3326—111no—
734#3325—111no—
735#3324—111no—
736#3323—111no—
737#3323D1111yescharacteristic, complemented
738#3322—111no—
739#3322—111no—
740#3131—111no—
741#3091—111no—
742#3091—111no—
743#3076—111no—
744#3054—111no—
745#3054—111no—
746#3035—111no—
747#3002—111no—
748#3002—111no—
749C4×#135—111no—
750C2×#436—111no—
751#2896—111no—
752#2896—111no—
753C23×C11—21no—
754C23×C11—21no—
755C23×C11—42no—
756C23×C11—42no—
757C23×C11—81no—
758C23×C11C22×D411yescharacteristic
759C23×C11C22×D411yescharacteristic
760C22×D11—22no—
761C22×D11—22no—
762C22×D11—21no—
763C22×D11—21no—
764C22×D11—41no—
765C22×D11—41no—
766C22×D11—41no—
767C22×D11—41no—
768C22×D11—42no—
769C22×D11—42no—
770C22×D11—81no—
771C22×D11C22×D411yescharacteristic
772C22×D11C22×D411yescharacteristic
773C22×D11C22×D411yescharacteristic
774Q8×C11—21no—
775Q8×C11—21no—
776Q8×C11—21no—
777Q8×C11—21no—
778D4×C11—21no—
779D4×C11—21no—
780D4×C11—21no—
781D4×C11—41no—
782D4×C11—42no—
783D4×C11—42no—
784D4×C11—81no—
785D4×C11C2×#4112yes—
786C2×C4×C11—21no—
787C2×C4×C11—21no—
788C2×C4×C11—21no—
789C2×C4×C11—21no—
790C2×C4×C11—21no—
791C2×C4×C11—21no—
792C2×C4×C11—21no—
793C2×C4×C11—21no—
794C2×C4×C11—21no—
795C2×C4×C11—21no—
796C2×C4×C11—42no—
797C2×C4×C11—42no—
798C2×C4×C11—81no—
799C2×C4×C11C22×D411yescharacteristic
800C2×C4×C11C22×D411yescharacteristic
801C2×C4×C11C22×D411yescharacteristic
802C2×C4×C11C22×D411yescharacteristic
803C2×C4×C11C2511yescharacteristic
804C22⋊D11—24no—
805C22⋊D11—22no—
806C22⋊D11—22no—
807C22⋊D11—42no—
808C22⋊D11—42no—
809C22⋊D11—42no—
810C22⋊D11—42no—
811C22⋊D11—42no—
812C22⋊D11—42no—
813C22⋊D11—42no—
814C22⋊D11—42no—
815C22⋊D11—42no—
816C22⋊D11—81no—
817C22⋊D11—81no—
818C2×Dic11—21no—
819C2×Dic11—22no—
820C2×Dic11—22no—
821C2×Dic11—24no—
822C2×Dic11—21no—
823C2×Dic11—21no—
824C2×Dic11—21no—
825C2×Dic11—21no—
826C2×Dic11—21no—
827C2×Dic11—42no—
828C2×Dic11—42no—
829C2×Dic11—42no—
830C2×Dic11—42no—
831C2×Dic11—42no—
832C2×Dic11—81no—
833C2×Dic11C22×D411yescharacteristic
834C2×Dic11C22×D411yescharacteristic
835C2×Dic11C22×D411yescharacteristic
836C2×Dic11C22×D411yescharacteristic
837C2×Dic11C22×D411yescharacteristic
838D44—21no—
839D44—21no—
840D44—21no—
841D44—21no—
842D44—41no—
843D44—42no—
844D44—42no—
845D44—42no—
846D44—81no—
847D44—81no—
848C4×D11—22no—
849C4×D11—22no—
850C4×D11—21no—
851C4×D11—21no—
852C4×D11—21no—
853C4×D11—21no—
854C4×D11—22no—
855C4×D11—22no—
856C4×D11—22no—
857C4×D11—41no—
858C4×D11—42no—
859C4×D11—42no—
860C4×D11—42no—
861C4×D11—42no—
862C4×D11—42no—
863C4×D11—42no—
864C4×D11—81no—
865C4×D11—81no—
866C4×D11C2×#4112yes—
867C4×D11H(5,𝔽2)12yes—
868Dic22—21no—
869Dic22—21no—
870Dic22—21no—
871Dic22—42no—
872Dic22—42no—
873Dic22—42no—
874Dic22—81no—
875Dic22C2×#4112yes—
876C8×C11—21no—
877C8×C11—21no—
878C8×C11—21no—
879C8×C11—21no—
880C11⋊C8—21no—
881C11⋊C8—21no—
882C11⋊C8—21no—
883C11⋊C8—21no—
884C22×#41—111no—
885C22×#41—111no—
886C2×#135—111no—
887C2×#135—111no—
888C2×#135—111no—
889C22×M16—111no—
890C22×M16—111no—
891#556—111no—
892#555—111no—
893#554—111no—
894#553—111no—
895#553—111no—
896#552—111no—
897#552—221no—
898#552C2×D1111yescharacteristic, complemented
899#551—221no—
900#551—221no—
901#550—111no—
902D4×Q8—111no—
903#548—111no—
904#548—111no—
905#547—111no—
906#547—111no—
907#547—221no—
908#546—111no—
909#546—221no—
910#546—221no—
911#546—221no—
912#546C2×D1111yescharacteristic
913D42—111no—
914D42—221no—
915#533—111no—
916#532—111no—
917#532—221no—
918#529—221no—
919#529—221no—
920#529—221no—
921#525—111no—
922#525—111no—
923#525—111no—
924#525—111no—
925#525—221no—
926#525—221no—
927C4×#41—111no—
928C4×#41—111no—
929C4×#41—221no—
930C2×C4×D4—111no—
931C2×C4×D4—221no—
932C2×#117—111no—
933C2×#117—111no—
934#488—111no—
935#488—111no—
936#488—111no—
937#488C2×D1111yescharacteristic, complemented
938#487—111no—
939#487—111no—
940#486—111no—
941#486—111no—
942#485—111no—
943#485—111no—
944#485—111no—
945#485C2×D1111yescharacteristic, complemented
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#481C2×D1111yescharacteristic, complemented
956#480—111no—
957#480—111no—
958#479—111no—
959#479—111no—
960#478—111no—
961#478C2×D1111yescharacteristic, complemented
962#477—111no—
963#476—111no—
964#475—111no—
965#474—111no—
966#470—111no—
967#470—111no—
968#470—111no—
969#470C2×D1111yescharacteristic, complemented
970#469—111no—
971#469—111no—
972#469—111no—
973#469—111no—
974#468—111no—
975#468—111no—
976#468—111no—
977#468—111no—
978#468—111no—
979#468—111no—
980#468—111no—
981#468C2×D1111yescharacteristic, complemented
982#464—111no—
983#464C2×D1111yescharacteristic, complemented
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#452C2×D1111yescharacteristic, complemented
994#451—111no—
995#451—111no—
996#450—111no—
997#450C2×D1111yescharacteristic, complemented
998#449—111no—
999#449—111no—
1000#449—111no—
1001#449—111no—
1002#448—111no—
1003#448—111no—
1004#447—111no—
1005#447—111no—
1006C4×Q16—111no—
1007C4×Q16—111no—
1008C4×SD16—111no—
1009C4×SD16—111no—
1010C4×SD16—111no—
1011C4×SD16C2×D1111yescharacteristic, complemented
1012C4×D8—111no—
1013C4×D8—111no—
1014#436—111no—
1015#436—111no—
1016#436—111no—
1017#436—111no—
1018#436—111no—
1019#436—111no—
1020#436—111no—
1021#436C2×D1111yescharacteristic, complemented
1022#427—111no—
1023#427—111no—
1024#427—111no—
1025C2×C4⋊C8—111no—
1026#419—111no—
1027#419—111no—
1028#419—111no—
1029#419—111no—
1030#418—111no—
1031#418—111no—
1032#418—111no—
1033#418C2×D1111yescharacteristic, complemented
1034#417—111no—
1035#417—111no—
1036#417—111no—
1037#417—111no—
1038#417—111no—
1039#417—111no—
1040#417—111no—
1041#417C2×D1111yescharacteristic, complemented
1042#416—111no—
1043#416—111no—
1044#416—111no—
1045#416—111no—
1046#416—111no—
1047#416—111no—
1048#416—111no—
1049#416—111no—
1050#416—111no—
1051#416—111no—
1052C2×C22⋊C8—111no—
1053C2×C22⋊C8—111no—
1054C2×C4×C8—111no—
1055C22×C11—21no—
1056C22×C11—21no—
1057C22×C11—21no—
1058C22×C11—21no—
1059C22×C11—22no—
1060C22×C11—21no—
1061C22×C11—21no—
1062C22×C11—41no—
1063C22×C11—41no—
1064C22×C11—41no—
1065C22×C11—41no—
1066C22×C11—41no—
1067C22×C11—84no—
1068C22×C11C23×D411yescharacteristic
1069C2×D11—21no—
1070C2×D11—21no—
1071C2×D11—21no—
1072C2×D11—21no—
1073C2×D11—21no—
1074C2×D11—21no—
1075C2×D11—21no—
1076C2×D11—21no—
1077C2×D11—41no—
1078C2×D11—41no—
1079C2×D11—41no—
1080C2×D11—41no—
1081C2×D11—41no—
1082C2×D11—41no—
1083C2×D11—82no—
1084C2×D11—82no—
1085C2×D11—84no—
1086C2×D11#54612yes—
1087C4×C11—21no—
1088C4×C11—21no—
1089C4×C11—21no—
1090C4×C11—21no—
1091C4×C11—41no—
1092C4×C11—41no—
1093C4×C11—41no—
1094C4×C11—41no—
1095C4×C11—41no—
1096C4×C11—41no—
1097C4×C11C22×#4111yescharacteristic
1098C4×C11C2×H(5,𝔽2)11yescharacteristic
1099Dic11—21no—
1100Dic11—22no—
1101Dic11—21no—
1102Dic11—21no—
1103Dic11—41no—
1104Dic11—41no—
1105Dic11—41no—
1106Dic11—41no—
1107Dic11—41no—
1108Dic11#54612yes—
1109Dic11#57512yes—
1110C2×#41—111no—
1111C2×#41—111no—
1112C2×#41—111no—
1113C2×#41—111no—
1114C2×#41—111no—
1115C2×#41—111no—
1116C2×#41—111no—
1117C2×#41—221no—
1118C2×#41—221no—
1119C2×#41—221no—
1120C2×#41—221no—
1121C2×#41—221no—
1122C2×#41—224no—
1123C2×#41—224no—
1124C2×#41—442no—
1125C2×#41—442no—
1126C2×#41C22×D1111yescharacteristic
1127C22×Q8—111no—
1128C22×Q8—111no—
1129C22×D4—111no—
1130C22×D4—111no—
1131C22×D4—221no—
1132C22×D4—221no—
1133C22×D4—221no—
1134C22×D4C22×D1111yescharacteristic
1135C23×C4—111no—
1136C23×C4—111no—
1137C23×C4—221no—
1138C23×C4—221no—
1139#135—224no—
1140#135—442no—
1141#135—442no—
1142C2×Q16—111no—
1143C2×Q16—111no—
1144C2×Q16C22×D1111yescharacteristic
1145C2×SD16—111no—
1146C2×SD16—111no—
1147C2×SD16—111no—
1148C2×SD16—111no—
1149C2×SD16C22×D1111yescharacteristic
1150C2×SD16C22×D1111yescharacteristic
1151C2×D8—111no—
1152C2×D8—111no—
1153C2×D8—111no—
1154C2×M16—111no—
1155C2×M16—111no—
1156C2×M16—111no—
1157C2×M16—111no—
1158C2×M16—111no—
1159C2×M16—111no—
1160C2×M16—442no—
1161C2×M16—442no—
1162C2×M16C22×D1111yescharacteristic
1163C2×M16C22×D1111yescharacteristic
1164C22×C8—111no—
1165C22×C8—111no—
1166C22×C8—111no—
1167C22×C8—111no—
1168C4⋊Q8—111no—
1169C4⋊Q8—111no—
1170C4⋊Q8—111no—
1171C4⋊Q8—221no—
1172#127—111no—
1173#127—221no—
1174#126—21no—
1175#126—221no—
1176#126—221no—
1177#126—221no—
1178#126—221no—
1179#126—221no—
1180#125—21no—
1181#125—111no—
1182#125—221no—
1183#125—221no—
1184#125C22×D1111yescharacteristic
1185#124—111no—
1186#124—221no—
1187#124—221no—
1188#124—221no—
1189#124—221no—
1190#124—221no—
1191#124C22×D1111yescharacteristic
1192#123—21no—
1193#123—21no—
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—
1205#123—221no—
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⋊Q8C22×D1111yescharacteristic
1221C22⋊Q8C22×D1111yescharacteristic
1222C22⋊Q8C22×D1111yescharacteristic
1223#121—21no—
1224#121—111no—
1225#121—111no—
1226#121—111no—
1227#121—111no—
1228#121—111no—
1229#121—111no—
1230#121—111no—
1231#121—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#120—21no—
1245#120—221no—
1246#120—221no—
1247#120—221no—
1248#120—221no—
1249#120—221no—
1250#120—221no—
1251#120—221no—
1252C4×Q8—111no—
1253C4×Q8—111no—
1254C4×Q8—111no—
1255C4×Q8—221no—
1256C4×Q8—221no—
1257C4×Q8—221no—
1258C4×Q8C22×D1111yescharacteristic
1259C4×D4—111no—
1260C4×D4—111no—
1261C4×D4—111no—
1262C4×D4—111no—
1263C4×D4—111no—
1264C4×D4—111no—
1265C4×D4—111no—
1266C4×D4—111no—
1267C4×D4—111no—
1268C4×D4—111no—
1269C4×D4—221no—
1270C4×D4—221no—
1271C4×D4—221no—
1272C4×D4—221no—
1273C4×D4—221no—
1274C4×D4—221no—
1275C4×D4—221no—
1276C4×D4—221no—
1277C4×D4—221no—
1278C4×D4—221no—
1279C4×D4—221no—
1280C4×D4—221no—
1281C4×D4—221no—
1282C4×D4—221no—
1283C4×D4—221no—
1284C4×D4—221no—
1285C4×D4—221no—
1286C4×D4—221no—
1287C4×D4—221no—
1288C4×D4—221no—
1289C4×D4—221no—
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—111no—
1310C2×C4⋊C4—111no—
1311C2×C4⋊C4—111no—
1312C2×C4⋊C4—111no—
1313C2×C4⋊C4—221no—
1314C2×C4⋊C4C22×D1111yescharacteristic
1315C2×C22⋊C4—21no—
1316C2×C22⋊C4—111no—
1317C2×C22⋊C4—111no—
1318C2×C22⋊C4—221no—
1319C2×C22⋊C4—221no—
1320C2×C22⋊C4—221no—
1321C2×C42—111no—
1322C2×C42—221no—
1323C2×C42—221no—
1324C2×C42—221no—
1325C2×C42—221no—
1326#107—111no—
1327#107—111no—
1328#107—111no—
1329#107—111no—
1330#107—111no—
1331#107C22×D1111yescharacteristic
1332#106—111no—
1333#106—111no—
1334#106—111no—
1335#106—111no—
1336#106C22×D1111yescharacteristic
1337#106C22×D1111yescharacteristic
1338C4⋊C8—111no—
1339C4⋊C8—111no—
1340C4⋊C8—111no—
1341C4⋊C8C22×D1111yescharacteristic
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#103C22×D1111yescharacteristic
1359#103C22×D1111yescharacteristic
1360#103C22×D1111yescharacteristic
1361#103C22×D1111yescharacteristic
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#102C22×D1111yescharacteristic
1377#102C22×D1111yescharacteristic
1378#102C22×D1111yescharacteristic
1379#102C22×D1111yescharacteristic
1380#102C22×D1111yescharacteristic
1381#102C22×D1111yescharacteristic
1382C22⋊C8—111no—
1383C22⋊C8—111no—
1384C22⋊C8—111no—
1385C22⋊C8—111no—
1386C22⋊C8—111no—
1387C22⋊C8—111no—
1388C22⋊C8C22×D1111yescharacteristic
1389C22⋊C8C22×D1111yescharacteristic
1390C4×C8—111no—
1391C4×C8—111no—
1392C4×C8—111no—
1393C4×C8C22×D1111yescharacteristic
1394C2×C11—41no—
1395C2×C11—41no—
1396C2×C11—42no—
1397C2×C11—81no—
1398C2×C11C2×#54611yescharacteristic
1399C2×C11C2×#57511yescharacteristic
1400C2×C11#358411yescharacteristic
1401D11—22no—
1402D11—41no—
1403D11—41no—
1404D11—81no—
1405D11—81no—
1406C24—21no—
1407C24—111no—
1408C24—111no—
1409C24—221no—
1410#41—22no—
1411#41—41no—
1412#41—114no—
1413#41—222no—
1414#41—222no—
1415#41—222no—
1416#41—222no—
1417#41—222no—
1418#41—222no—
1419#41—222no—
1420#41—222no—
1421#41—222no—
1422#41—222no—
1423#41—441no—
1424#41—444no—
1425#41—444no—
1426#41—444no—
1427#41—444no—
1428#41—441no—
1429#41—441no—
1430#41—444no—
1431C2×Q8—111no—
1432C2×Q8—111no—
1433C2×Q8—221no—
1434C2×Q8—221no—
1435C2×Q8—221no—
1436C2×Q8—222no—
1437C2×Q8—221no—
1438C2×Q8—222no—
1439C2×Q8—441no—
1440C2×Q8—441no—
1441C2×Q8C23×D1111yescharacteristic
1442C2×Q8C23×D1111yescharacteristic
1443C2×D4—22no—
1444C2×D4—21no—
1445C2×D4—21no—
1446C2×D4—21no—
1447C2×D4—41no—
1448C2×D4—111no—
1449C2×D4—111no—
1450C2×D4—111no—
1451C2×D4—111no—
1452C2×D4—111no—
1453C2×D4—221no—
1454C2×D4—221no—
1455C2×D4—221no—
1456C2×D4—221no—
1457C2×D4—221no—
1458C2×D4—221no—
1459C2×D4—221no—
1460C2×D4—221no—
1461C2×D4—221no—
1462C2×D4—222no—
1463C2×D4—221no—
1464C2×D4—221no—
1465C2×D4—221no—
1466C2×D4—221no—
1467C2×D4—221no—
1468C2×D4—221no—
1469C2×D4—221no—
1470C2×D4—221no—
1471C2×D4—441no—
1472C2×D4—442no—
1473C2×D4—444no—
1474C2×D4—444no—
1475C2×D4—444no—
1476C2×D4D4×D1111yescharacteristic
1477C2×D4C23×D1111yescharacteristic
1478C2×D4C23×D1111yescharacteristic
1479C22×C4—21no—
1480C22×C4—21no—
1481C22×C4—21no—
1482C22×C4—111no—
1483C22×C4—111no—
1484C22×C4—111no—
1485C22×C4—111no—
1486C22×C4—111no—
1487C22×C4—111no—
1488C22×C4—111no—
1489C22×C4—111no—
1490C22×C4—111no—
1491C22×C4—111no—
1492C22×C4—111no—
1493C22×C4—222no—
1494C22×C4—222no—
1495C22×C4—222no—
1496C22×C4—222no—
1497C22×C4—221no—
1498C22×C4—221no—
1499C22×C4—221no—
1500C22×C4—221no—
1501C22×C4—221no—
1502C22×C4—221no—
1503C22×C4—221no—
1504C22×C4—221no—
1505C22×C4—221no—
1506C22×C4—221no—
1507C22×C4—221no—
1508C22×C4—221no—
1509C22×C4—221no—
1510C22×C4—221no—
1511C22×C4—221no—
1512C22×C4—444no—
1513C22×C4—444no—
1514C22×C4C23×D1111yescharacteristic
1515C22×C4C23×D1111yescharacteristic
1516Q16—41no—
1517Q16—222no—
1518Q16—441no—
1519SD16—22no—
1520SD16—41no—
1521SD16—222no—
1522SD16—441no—
1523SD16—441no—
1524SD16—441no—
1525D8—222no—
1526D8—441no—
1527D8—441no—
1528M16—41no—
1529M16—41no—
1530M16—441no—
1531M16—441no—
1532M16—441no—
1533M16—441no—
1534M16—441no—
1535M16—441no—
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×C8C23×D1111yescharacteristic
1545C2×C8C23×D1111yescharacteristic
1546C2×C8C23×D1111yescharacteristic
1547C2×C8C23×D1111yescharacteristic
1548C4⋊C4—21no—
1549C4⋊C4—21no—
1550C4⋊C4—21no—
1551C4⋊C4—21no—
1552C4⋊C4—21no—
1553C4⋊C4—21no—
1554C4⋊C4—21no—
1555C4⋊C4—111no—
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⋊C4—221no—
1579C4⋊C4D4×D1111yescharacteristic
1580C4⋊C4C23×D1111yescharacteristic
1581C4⋊C4C23×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—111no—
1593C22⋊C4—111no—
1594C22⋊C4—111no—
1595C22⋊C4—111no—
1596C22⋊C4—111no—
1597C22⋊C4—111no—
1598C22⋊C4—221no—
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⋊C4—221no—
1617C22⋊C4—221no—
1618C22⋊C4—221no—
1619C22⋊C4—221no—
1620C22⋊C4—221no—
1621C22⋊C4—221no—
1622C22⋊C4D4×D1111yescharacteristic
1623C22⋊C4D4×D1111yescharacteristic
1624C42—21no—
1625C42—21no—
1626C42—111no—
1627C42—111no—
1628C42—111no—
1629C42—221no—
1630C42—221no—
1631C42—221no—
1632C42—221no—
1633C42—221no—
1634C42—221no—
1635C42—221no—
1636C42—221no—
1637C42—221no—
1638C42—221no—
1639C42C23×D1111yescharacteristic
1640C11#6115411yescharacteristic, complemented, Sylow
1641C23—21no—
1642C23—21no—
1643C23—42no—
1644C23—42no—
1645C23—81no—
1646C23—111no—
1647C23—111no—
1648C23—111no—
1649C23—222no—
1650C23—222no—
1651C23—221no—
1652C23—221no—
1653C23—441no—
1654C23—441no—
1655C23—441no—
1656C23—441no—
1657C23—442no—
1658C23—442no—
1659C23—881no—
1660C23C2×D4×D1111yescharacteristic
1661C23C2×D4×D1111yescharacteristic
1662Q8—21no—
1663Q8—21no—
1664Q8—21no—
1665Q8—21no—
1666Q8—112no—
1667Q8—221no—
1668Q8—221no—
1669Q8—221no—
1670Q8—442no—
1671Q8—442no—
1672Q8—442no—
1673Q8—881no—
1674D4—21no—
1675D4—21no—
1676D4—21no—
1677D4—41no—
1678D4—42no—
1679D4—42no—
1680D4—81no—
1681D4—222no—
1682D4—222no—
1683D4—224no—
1684D4—221no—
1685D4—221no—
1686D4—221no—
1687D4—221no—
1688D4—441no—
1689D4—442no—
1690D4—442no—
1691D4—442no—
1692D4—442no—
1693D4—442no—
1694D4—442no—
1695D4—442no—
1696D4—442no—
1697D4—442no—
1698D4—442no—
1699D4—442no—
1700D4—442no—
1701D4—881no—
1702D4—881no—
1703D4—881no—
1704D4—881no—
1705D4#41×D1112yes—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—42no—
1717C2×C4—42no—
1718C2×C4—81no—
1719C2×C4—111no—
1720C2×C4—111no—
1721C2×C4—112no—
1722C2×C4—112no—
1723C2×C4—111no—
1724C2×C4—111no—
1725C2×C4—111no—
1726C2×C4—222no—
1727C2×C4—222no—
1728C2×C4—222no—
1729C2×C4—222no—
1730C2×C4—222no—
1731C2×C4—222no—
1732C2×C4—222no—
1733C2×C4—224no—
1734C2×C4—221no—
1735C2×C4—221no—
1736C2×C4—221no—
1737C2×C4—221no—
1738C2×C4—221no—
1739C2×C4—221no—
1740C2×C4—221no—
1741C2×C4—221no—
1742C2×C4—221no—
1743C2×C4—221no—
1744C2×C4—441no—
1745C2×C4—442no—
1746C2×C4—442no—
1747C2×C4—442no—
1748C2×C4—442no—
1749C2×C4—442no—
1750C2×C4—442no—
1751C2×C4—442no—
1752C2×C4—442no—
1753C2×C4—442no—
1754C2×C4—442no—
1755C2×C4—442no—
1756C2×C4—881no—
1757C2×C4—881no—
1758C2×C4—881no—
1759C2×C4C2×D4×D1111yescharacteristic
1760C2×C4C2×D4×D1111yescharacteristic
1761C2×C4C2×D4×D1111yescharacteristic
1762C2×C4C2×D4×D1111yescharacteristic
1763C2×C4C24×D1111yescharacteristic
1764C8—21no—
1765C8—21no—
1766C8—21no—
1767C8—21no—
1768C8—221no—
1769C8—221no—
1770C8—221no—
1771C8—221no—
1772C22—21no—
1773C22—21no—
1774C22—22no—
1775C22—21no—
1776C22—21no—
1777C22—21no—
1778C22—21no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—84no—
1785C22—112no—
1786C22—221no—
1787C22—221no—
1788C22—221no—
1789C22—221no—
1790C22—221no—
1791C22—221no—
1792C22—221no—
1793C22—221no—
1794C22—441no—
1795C22—441no—
1796C22—441no—
1797C22—441no—
1798C22—441no—
1799C22—441no—
1800C22—882no—
1801C22—882no—
1802C22—884no—
1803C22C22×D4×D1111yescharacteristic
1804C4—21no—
1805C4—21no—
1806C4—21no—
1807C4—21no—
1808C4—41no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—112no—
1815C4—112no—
1816C4—221no—
1817C4—221no—
1818C4—222no—
1819C4—221no—
1820C4—441no—
1821C4—441no—
1822C4—441no—
1823C4—441no—
1824C4—441no—
1825C4C2×#41×D1111yescharacteristic
1826C4D11×H(5,𝔽2)11yescharacteristic
1827C2—41no—
1828C2—41no—
1829C2—42no—
1830C2—81no—
1831C2—222no—
1832C2—441no—
1833C2—441no—
1834C2—881no—
1835C2—881no—
1836C2D11×#54611yescharacteristic
1837C2D11×#57511yescharacteristic
1838C2#1308338811yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3323C2
socleC22×C11C23×D4
hypercenter#3323D11
hypocenterC11#61154
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3323

Complements

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

NH ≅ G/Ntype
1. #13082169C2semidirect
2. #13082100C2semidirect
3. #13080949C2semidirect
4. #13080941C2semidirect
5. #13080925C2semidirect
6. #13080917C2semidirect
7. #13080908C2semidirect
8. #13080894C2semidirect
9. #13080891C2semidirect
10. #13080878C2semidirect
11. #13080871C2semidirect
12. #13080868C2semidirect
13. #13080854C2semidirect
14. #13080840C2semidirect
15. #13080837C2semidirect
16. #13080817C2semidirect
17. #13080814C2semidirect
18. #13078937C2semidirect
19. #13078534C2semidirect
20. #13078526C2semidirect
21. #13078401C2semidirect
22. #13078227C2semidirect
23. #13078220C2semidirect
24. #13078070C2semidirect
25. #13077837C2semidirect
26. #13077835C2semidirect
27. C4×#66969C2semidirect
28. D11×#436C2semidirect
29. #13077132C2semidirect
30. #13077130C2semidirect
31. C11×#3323C2semidirect
34. C11×#552C22semidirect
38. C2×#66972C22semidirect
40. C2×#66969C22semidirect
41. C2×M16×D11C22semidirect
42. C2×M16×D11C22semidirect
45. #10623226C22semidirect
48. #10623219C22semidirect
56. #10623166C22semidirect
59. #10623158C22semidirect
60. #10623158C22semidirect
67. #10623112C22semidirect
68. C4×#4343C22semidirect
69. #10623096C22semidirect
77. D11×#117C22semidirect
78. #10623038C22semidirect
79. C2×#66945C22semidirect
82. C11×#488C22semidirect
83. C11×#485C22semidirect
84. C11×#481C22semidirect
85. C11×#478C22semidirect
86. C11×#470C22semidirect
87. C11×#468C22semidirect
88. C11×#464C22semidirect
89. C11×#452C22semidirect
90. C11×#450C22semidirect
91. C4×C11×SD16C22semidirect
92. C11×#436C22semidirect
93. C11×#418C22semidirect
94. C11×#417C22semidirect
95. #10622851C22semidirect
96. #10622845C22semidirect
97. #10622830C22semidirect
98. #10622828C22semidirect
99. #10622802C22semidirect
100. #10622799C22semidirect
101. #10622795C22semidirect
102. #10622787C22semidirect
103. #10622786C22semidirect
104. #10622786C22semidirect
105. #10622782C22semidirect
106. #10622776C22semidirect
107. SD16×Dic11C22semidirect
108. #10622748C22semidirect
109. #10622747C22semidirect
110. #10622746C22semidirect
112. #10622741C22semidirect
113. #10622733C22semidirect
114. #10622681C22semidirect
115. #10622676C22semidirect
116. #10622670C22semidirect
117. #10622669C22semidirect
118. #10622665C22semidirect
119. #10622663C22semidirect
120. #10622662C22semidirect
121. #10622662C22semidirect
122. #10622660C22semidirect
123. #10622658C22semidirect
124. #10622652C22semidirect
125. #10622646C22semidirect
126. C4×#4326C22semidirect
127. #10622641C22semidirect
128. C4×#4323C22semidirect
129. #10622625C22semidirect
130. #10622622C22semidirect
131. #10622617C22semidirect
132. #10622616C22semidirect
133. #10622583C22semidirect
134. #10622579C22semidirect
135. #10622499C22semidirect
136. #10622495C22semidirect
137. #10622493C22semidirect
138. #10622488C22semidirect
139. #10622480C22semidirect
140. #10622480C22semidirect
141. #10622478C22semidirect
142. #10622476C22semidirect
143. #10622473C22semidirect
144. #10622473C22semidirect
145. #10622467C22semidirect
146. #10622465C22semidirect
147. #10622457C22semidirect
148. #10622451C22semidirect
149. D11×C4⋊C8C22semidirect
150. #10622442C22semidirect
151. #10622431C22semidirect
152. #10622429C22semidirect
153. #10622425C22semidirect
154. #10622425C22semidirect
155. #10622422C22semidirect
156. #10622419C22semidirect
157. #10622418C22semidirect
158. #10622417C22semidirect
159. #10622417C22semidirect
160. #10622417C22semidirect
161. #10622417C22semidirect
162. #10622415C22semidirect
163. #10622415C22semidirect
164. #10622405C22semidirect
165. #10622405C22semidirect
166. #10622403C22semidirect
167. #10622399C22semidirect
168. #10622395C22semidirect
169. #10622394C22semidirect
170. #10622394C22semidirect
171. #10622392C22semidirect
172. #10622392C22semidirect
173. #10622386C22semidirect
177. #10622385C22semidirect
178. #10622385C22semidirect
179. #10622385C22semidirect
180. #10622384C22semidirect
181. #10622384C22semidirect
182. #10622384C22semidirect
183. #10622384C22semidirect
184. #10622383C22semidirect
185. #10622383C22semidirect
186. #10622374C22semidirect
187. #10622373C22semidirect
188. #10622373C22semidirect
189. #10622372C22semidirect
190. #10622369C22semidirect
191. #10622351C22semidirect
192. #10622350C22semidirect
193. #10622347C22semidirect
195. #10622342C22semidirect
196. D11×C22⋊C8C22semidirect
197. D11×C22⋊C8C22semidirect
198. #10622334C22semidirect
199. #10622310C22semidirect
200. C4×#4314C22semidirect
201. #10622301C22semidirect
202. C4×C8×D11C22semidirect
551. #4341#41semidirect
737. #3323D11semidirect
898. #552C2×D11semidirect
937. #488C2×D11semidirect
945. #485C2×D11semidirect
955. #481C2×D11semidirect
961. #478C2×D11semidirect
969. #470C2×D11semidirect
981. #468C2×D11semidirect
983. #464C2×D11semidirect
993. #452C2×D11semidirect
997. #450C2×D11semidirect
1011. C4×SD16C2×D11semidirect
1021. #436C2×D11semidirect
1033. #418C2×D11semidirect
1041. #417C2×D11semidirect
1640. C11#61154semidirect

Maximal subgroups

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

subgroupindex
#130821692
#130821002
#130809492
#130809412
#130809252
#130809172
#130809082
#130808942
#130808912
#130808782
#130808712
#130808682
#130808542
#130808402
#130808372
#130808172
#130808142
#130789372
#130785342
#130785262
#130784012
#130782272
#130782202
#130780702
#130778372
#130778352
C4×#669692
D11×#4362
#130771322
#130771302
C11×#33232
#6115411