Finite Group Databasebeta

← #15647285

Subgroups — #15647285

Order 2816.

1966 conjugacy classes of subgroups.

The subgroup lattice has 1856 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13083134C211yesmaximal, characteristic, complemented
2#13082638C211yesmaximal, characteristic, complemented
3#13081662C211yesmaximal, characteristic, complemented
4#13081653C211yesmaximal, characteristic, complemented
5#13081373C211yesmaximal, characteristic, complemented
6#13081362C211yesmaximal, characteristic, complemented
7#13080773C211yesmaximal, characteristic, complemented
8#13080768C211yesmaximal, characteristic, complemented
9#13080764C211yesmaximal, characteristic, complemented
10#13080758C211yesmaximal, characteristic, complemented
11#13080525C211yesmaximal, characteristic, complemented
12#13080519C211yesmaximal, characteristic, complemented
13#13080288C211yesmaximal, characteristic, complemented
14D8×C22⋊D11C211yesmaximal, characteristic, complemented
15#13080117C211yesmaximal, characteristic, complemented
16#13080105C211yesmaximal, characteristic, complemented
17#13080096C211yesmaximal, characteristic, complemented
18#13080090C211yesmaximal, characteristic, complemented
19#13080032C211yesmaximal, characteristic, complemented
20#13080029C211yesmaximal, characteristic, complemented
21#13079924C211yesmaximal, characteristic, complemented
22#13079666C211yesmaximal, characteristic, complemented
23#13079665C211yesmaximal, characteristic, complemented
24#13079601C211yesmaximal, characteristic, complemented
25#13078800C211yesmaximal, characteristic, complemented
26#13078797C211yesmaximal, characteristic, complemented
27#13078706C211yesmaximal, characteristic, complemented
28#13078114C211yesmaximal, characteristic, complemented
29D11×#463C211yesmaximal, characteristic, complemented
30#13077753C211yesmaximal, characteristic, complemented
31C11×#3041C211yesmaximal, characteristic, complemented
32C2×C11×AGL(1,ℤ/8)C2211yescharacteristic, complemented
33C22×C11×D8C2211yescharacteristic, complemented
34C11×#535C2211yescharacteristic, complemented
35C11×#518C2211yescharacteristic, complemented
36#10623362C2211yescharacteristic, complemented
37#10623360C2211yescharacteristic, complemented
38#10623337C2211yescharacteristic, complemented
39D4×C22⋊D11C2211yescharacteristic, complemented
40D4×C22⋊D11C2211yescharacteristic, complemented
41D4×C22⋊D11C2211yescharacteristic, complemented
42C2×SD16×D11C2211yescharacteristic, complemented
43C2×#66964C2211yescharacteristic, complemented
44C2×D8×D11C2211yescharacteristic
45C2×D8×D11C2211yescharacteristic, complemented
46#10623248C2211yescharacteristic, complemented
47#10623247C2211yescharacteristic, complemented
48#10623246C2211yescharacteristic, complemented
49#10623244C2211yescharacteristic, complemented
50#10623213C2211yescharacteristic, complemented
51#10623212C2211yescharacteristic, complemented
52#10623208C2211yescharacteristic, complemented
53D11×#124C2211yescharacteristic, complemented
54#10623152—21no—
55#10623148—21no—
56#10623144—21no—
57#10623141—21no—
58#10623125—21no—
59#10623124—21no—
60#10623122—21no—
61#10623120—21no—
62#10623093C2211yescharacteristic, complemented
63#10623091—21no—
64#10623089C2211yescharacteristic, complemented
65#10623084C2211yescharacteristic, complemented
66#10623081—21no—
67D4×D44C2211yescharacteristic, complemented
68#10623079C2211yescharacteristic, complemented
69#10623078—21no—
70#10623076C2211yescharacteristic, complemented
71C4×D4×D11C2211yescharacteristic, complemented
72#10623071—21no—
73#10623070C2211yescharacteristic, complemented
74#10623066C2211yescharacteristic, complemented
75#10623065C2211yescharacteristic, complemented
76#10623063C2211yescharacteristic, complemented
77#10623061C2211yescharacteristic, complemented
78#10623059C2211yescharacteristic
79#10623025—21no—
80#10623021—21no—
81#10623021—21no—
82C2×#66937—21no—
83C11×#463C2211yescharacteristic, complemented
84C11×#463C2211yescharacteristic, complemented
85C11×#463C2211yescharacteristic, complemented
86C11×#463C2211yescharacteristic, complemented
87C11×#459C2211yescharacteristic
88C11×#459C2211yescharacteristic, complemented
89C11×#459C2211yescharacteristic, complemented
90C11×#459C2211yescharacteristic, complemented
91C11×#424C2211yescharacteristic, complemented
92C11×#418C2211yescharacteristic, complemented
93C11×#416C2211yescharacteristic, complemented
94#10622851C2211yescharacteristic, complemented
95#10622851C2211yescharacteristic, complemented
96#10622831C2211yescharacteristic, complemented
97#10622830C2211yescharacteristic
98#10622830C2211yescharacteristic, complemented
99#10622830C2211yescharacteristic, complemented
100#10622789C2211yescharacteristic, complemented
101#10622784C2211yescharacteristic, complemented
102#10622783C2211yescharacteristic, complemented
103#10622782C2211yescharacteristic, complemented
104#10622778C2211yescharacteristic, complemented
105#10622777C2211yescharacteristic, complemented
106#10622776C2211yescharacteristic, complemented
107#10622772C2211yescharacteristic, complemented
108#10622771C2211yescharacteristic, complemented
109#10622770C2211yescharacteristic, complemented
110#10622770C2211yescharacteristic, complemented
111#10622769C2211yescharacteristic
112#10622769C2211yescharacteristic, complemented
113#10622769C2211yescharacteristic, complemented
114#10622769C2211yescharacteristic, complemented
115#10622769C2211yescharacteristic, complemented
116#10622767C2211yescharacteristic, complemented
117#10622767C2211yescharacteristic, complemented
118#10622766C2211yescharacteristic, complemented
119#10622766C2211yescharacteristic, complemented
120#10622765C2211yescharacteristic, complemented
121#10622765C2211yescharacteristic, complemented
122#10622764C2211yescharacteristic, complemented
123#10622763C2211yescharacteristic
124#10622763C2211yescharacteristic, complemented
125#10622763C2211yescharacteristic, complemented
126#10622763C2211yescharacteristic, complemented
127D8×Dic11C2211yescharacteristic, complemented
128#10622748C2211yescharacteristic, complemented
129#10622747C2211yescharacteristic, complemented
130#10622740C2211yescharacteristic, complemented
131#10622740C2211yescharacteristic, complemented
132#10622728C2211yescharacteristic, complemented
133#10622727C2211yescharacteristic, complemented
134#10622724C2211yescharacteristic, complemented
135C8×C22⋊D11C2211yescharacteristic, complemented
136#10622686C2211yescharacteristic, complemented
137#10622685C2211yescharacteristic, complemented
138#10622685C2211yescharacteristic, complemented
139#10622684C2211yescharacteristic, complemented
140#10622671C2211yescharacteristic, complemented
141#10622670C2211yescharacteristic, complemented
142#10622670C2211yescharacteristic, complemented
143#10622669C2211yescharacteristic, complemented
144#10622631C2211yescharacteristic, complemented
145C4×#4324C2211yescharacteristic, complemented
146#10622629C2211yescharacteristic, complemented
147#10622629C2211yescharacteristic, complemented
148#10622627C2211yescharacteristic, complemented
149C4×#4323C2211yescharacteristic, complemented
150#10622621C2211yescharacteristic, complemented
151#10622620C2211yescharacteristic, complemented
152#10622616C2211yescharacteristic, complemented
153#10622613C2211yescharacteristic, complemented
154#10622609C2211yescharacteristic, complemented
155#10622461C2211yescharacteristic, complemented
156#10622460C2211yescharacteristic, complemented
157#10622459C2211yescharacteristic, complemented
158#10622457C2211yescharacteristic, complemented
159#10622457C2211yescharacteristic, complemented
160#10622456C2211yescharacteristic, complemented
161#10622455C2211yescharacteristic, complemented
162#10622453C2211yescharacteristic, complemented
163#10622452C2211yescharacteristic, complemented
164#10622449C2211yescharacteristic, complemented
165#10622448C2211yescharacteristic, complemented
166#10622447C2211yescharacteristic, complemented
167D11×C4⋊C8C2211yescharacteristic, complemented
168#10622444C2211yescharacteristic, complemented
169#10622442C2211yescharacteristic, complemented
170#10622441C2211yescharacteristic, complemented
171#10622432C2211yescharacteristic, complemented
172#10622427C2211yescharacteristic, complemented
173#10622425C2211yescharacteristic, complemented
174#10622419C2211yescharacteristic, complemented
175D11×#103C2211yescharacteristic, complemented
176#10622412C2211yescharacteristic, complemented
177#10622408C2211yescharacteristic, complemented
178#10622401C2211yescharacteristic, complemented
179#10622400C2211yescharacteristic, complemented
180#10622400C2211yescharacteristic, complemented
181#10622399C2211yescharacteristic, complemented
182#10622398C2211yescharacteristic, complemented
183#10622398C2211yescharacteristic, complemented
184#10622398C2211yescharacteristic, complemented
185#10622397C2211yescharacteristic, complemented
186#10622394C2211yescharacteristic, complemented
187#10622390C2211yescharacteristic, complemented
188#10622390C2211yescharacteristic, complemented
189#10622388C2211yescharacteristic, complemented
190#10622388C2211yescharacteristic, complemented
191#10622388C2211yescharacteristic, complemented
192#10622386C2211yescharacteristic, complemented
193#10622386C2211yescharacteristic, complemented
194#10622385C2211yescharacteristic, complemented
195#10622383C2211yescharacteristic, complemented
196D11×#102C2211yescharacteristic, complemented
197#10622381C2211yescharacteristic, complemented
198#10622378C2211yescharacteristic, complemented
199#10622377C2211yescharacteristic, complemented
200#10622376C2211yescharacteristic, complemented
201#10622372C2211yescharacteristic, complemented
202#10622372C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C22×D4×C11C2311yescharacteristic
205C22×D4×C11C2311yescharacteristic
206C22×C22⋊D11—21no—
207C22×C22⋊D11—21no—
208C22×C22⋊D11—21no—
209C2×Q8×D11C2311yescharacteristic
210C2×#4341—21no—
211C2×#4341C2311yescharacteristic
212C2×D4×D11—21no—
213C2×D4×D11C2311yescharacteristic
214C2×D4×D11C2311yescharacteristic
215C2×D4×D11C2311yescharacteristic
216C2×D4×D11C2311yescharacteristic
217C2×#4339—21no—
218C2×#4339—21no—
219C22×D44—21no—
220C22×C4×D11—21no—
221C11×AGL(1,ℤ/8)—42no—
222C2×C11×SD16C2311yescharacteristic
223C2×C11×SD16C2311yescharacteristic
224C2×C11×D8—42no—
225C2×C11×D8C2311yescharacteristic
226C2×C11×D8C2311yescharacteristic
227C2×C11×D8C2311yescharacteristic
228C2×C11×D8C2311yescharacteristic
229C2×C11×D8C2311yescharacteristic
230C2×C11×D8C2311yescharacteristic
231C2×C11×M16C2311yescharacteristic
232C22×C8×C11C2311yescharacteristic
233C11×#127C2311yescharacteristic
234C11×#127C2311yescharacteristic
235C11×#124C2311yescharacteristic
236C11×#124C2311yescharacteristic
237C11×#121—21no—
238C11×#121—21no—
239C11×#120—21no—
240C11×#120—21no—
241C4×D4×C11—21no—
242C4×D4×C11—21no—
243C4×D4×C11C2311yescharacteristic
244C4×D4×C11C2311yescharacteristic
245C4×D4×C11C2311yescharacteristic
246C4×D4×C11C2311yescharacteristic
247C11×#117C2311yescharacteristic
248C11×#117C2311yescharacteristic
249C2×C11×C22⋊C4—21no—
250C2×C11×C22⋊C4—21no—
251#67006—21no—
252#67006—21no—
253#67006—21no—
254#67006—21no—
255C2×C22⋊Dic11—21no—
256#67000C2311yescharacteristic
257#66999C2311yescharacteristic
258Q8×Dic11C2311yescharacteristic
259C2×#4325C2311yescharacteristic
260C2×#4325C2311yescharacteristic
261#66993C2311yescharacteristic
262#66993C2311yescharacteristic
263#66993C2311yescharacteristic
264#66992—21no—
265#66992—21no—
266#66992—21no—
267#66992—21no—
268#66992—21no—
269#66992—21no—
270#66992—21no—
271#66991—21no—
272#66991—21no—
273#66991—21no—
274#66991C2311yescharacteristic
275#66991C2311yescharacteristic
276#66991C2311yescharacteristic
277#66991C2311yescharacteristic
278#66991C2311yescharacteristic
279#66990—21no—
280#66990—21no—
281#66990—21no—
282#66990—21no—
283#66990—21no—
284#66990—21no—
285#66990—21no—
286#66990—21no—
287#66989—21no—
288#66989—21no—
289#66989—21no—
290#66989C2311yescharacteristic
291#66989C2311yescharacteristic
292#66988—21no—
293#66988—21no—
294#66988—21no—
295D4×Dic11—21no—
296D4×Dic11—21no—
297D4×Dic11C2311yescharacteristic
298D4×Dic11C2311yescharacteristic
299D4×Dic11C2311yescharacteristic
300D4×Dic11C2311yescharacteristic
301D4×Dic11C2311yescharacteristic
302C2×#4324C2311yescharacteristic
303C2×#4324C2311yescharacteristic
304C2×#4323C2311yescharacteristic
305C2×#4323C2311yescharacteristic
306C2×#4323C2311yescharacteristic
307C2×#4323C2311yescharacteristic
308C2×#4323C2311yescharacteristic
309C2×#4323C2311yescharacteristic
310C2×#4323C2311yescharacteristic
311C2×#4323C2311yescharacteristic
312#66983—21no—
313#66983—21no—
314#66983—21no—
315#66983C2311yescharacteristic
316#66983C2311yescharacteristic
317#66983C2311yescharacteristic
318#66982—21no—
319#66982—21no—
320#66982—21no—
321C4×C22⋊D11—21no—
322C4×C22⋊D11—21no—
323C4×C22⋊D11—21no—
324C4×C22⋊D11—21no—
325C4×C22⋊D11—21no—
326C4×C22⋊D11C2311yescharacteristic
327C4×C22⋊D11C2311yescharacteristic
328C2×(C2×D11)⋊C4—21no—
329C2×(C2×D11)⋊C4—21no—
330#66977—21no—
331#66977—21no—
332#66977C2311yescharacteristic
333C2×Dic11⋊C4—21no—
334SD16×D11—42no—
335#66964—42no—
336D8×D11—42no—
337D8×D11—42no—
338C2×D88C2311yescharacteristic
339C2×D88C2311yescharacteristic
340C2×#4314C2311yescharacteristic
341C2×#4314C2311yescharacteristic
342C2×#4313C2311yescharacteristic
343C2×C8×D11C2311yescharacteristic
344C2×C8×D11C2311yescharacteristic
345C2×C8×D11C2311yescharacteristic
346#66951—21no—
347#66951D411yescharacteristic
348#66949—21no—
349#66949D411yescharacteristic
350#66948C2311yescharacteristic
351#66948C2311yescharacteristic
352#66947—21no—
353#66947—21no—
354#66947D411yescharacteristic
355#66946C2311yescharacteristic
356#66946C2311yescharacteristic
357#66945C2311yescharacteristic
358C4⋊C4×D11C2311yescharacteristic
359#66943C2311yescharacteristic
360#66942D411yescharacteristic
361#66941C2311yescharacteristic
362#66939—21no—
363#66939—21no—
364#66938—21no—
365#66938—21no—
366#66938—21no—
367#66938—21no—
368#66938—21no—
369#66938—21no—
370#66938—21no—
371#66938—21no—
372#66938D411yescharacteristic
373#66937—21no—
374#66937—21no—
375#66937—21no—
376#66937—21no—
377#66937—21no—
378#66937—21no—
379#66937—21no—
380#66937—21no—
381#66937—21no—
382#66937—21no—
383#66937D411yescharacteristic
384#66936—21no—
385#66936—21no—
386#66936—21no—
387#66936—21no—
388#66936D411yescharacteristic
389#66935—21no—
390#66935—21no—
391(C22⋊D11)⋊C4—21no—
392(C22⋊D11)⋊C4—21no—
393(C22⋊D11)⋊C4—21no—
394(C22⋊D11)⋊C4—21no—
395C22⋊C4×D11—21no—
396C22⋊C4×D11—21no—
397C22⋊C4×D11—21no—
398C22⋊C4×D11—21no—
399#66932—21no—
400#66932—21no—
401#66932D411yescharacteristic
402#66931—21no—
403#66931—21no—
404#66931—21no—
405#66931—21no—
406#66929—21no—
407#66928—21no—
408#66928C2311yescharacteristic
409#66927C2311yescharacteristic
410C4×D44—21no—
411C4×D44C2311yescharacteristic
412C4×D44C2311yescharacteristic
413C4×D44C2311yescharacteristic
414C4×D44C2311yescharacteristic
415#66925—21no—
416#66925C2311yescharacteristic
417C42×D11C2311yescharacteristic
418#66923C2311yescharacteristic
419#66922C2311yescharacteristic
420C4×Dic22C2311yescharacteristic
421C4×Dic22C2311yescharacteristic
422C11×C4⋊C8C2311yescharacteristic
423C11×C4⋊C8C2311yescharacteristic
424C11×C4⋊C8C2311yescharacteristic
425C11×C4⋊C8C2311yescharacteristic
426C11×#103C2311yescharacteristic
427C11×#103C2311yescharacteristic
428C11×#102C2311yescharacteristic
429C11×#102C2311yescharacteristic
430C11×#102C2311yescharacteristic
431C11×#102C2311yescharacteristic
432C11×#102C2311yescharacteristic
433C11×#102C2311yescharacteristic
434#66899C2311yescharacteristic
435#66899C2311yescharacteristic
436#66896C2311yescharacteristic
437#66896C2311yescharacteristic
438#66896C2311yescharacteristic
439#66896C2311yescharacteristic
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#66885C2311yescharacteristic
453#66885C2311yescharacteristic
454(C2×D11)⋊C8C2311yescharacteristic
455(C2×D11)⋊C8C2311yescharacteristic
456(C2×D11)⋊C8C2311yescharacteristic
457(C2×D11)⋊C8C2311yescharacteristic
458#66882C2311yescharacteristic
459#66882C2311yescharacteristic
460#66881C2311yescharacteristic
461#66881C2311yescharacteristic
462#66880C2311yescharacteristic
463#66880C2311yescharacteristic
464#66879C2311yescharacteristic
465#66879C2311yescharacteristic
466#66879C2311yescharacteristic
467Dic11⋊C8C2311yescharacteristic
468Dic11⋊C8C2311yescharacteristic
469Dic11⋊C8C2311yescharacteristic
470Dic11⋊C8C2311yescharacteristic
471C8×Dic11C2311yescharacteristic
472#66874C2311yescharacteristic
473#66874C2311yescharacteristic
474#66873C2311yescharacteristic
475#66873C2311yescharacteristic
476#66872C2311yescharacteristic
477#66872C2311yescharacteristic
478#66871C2311yescharacteristic
479#66871C2311yescharacteristic
480C4⋊(C11⋊C8)C2311yescharacteristic
481C4⋊(C11⋊C8)C2311yescharacteristic
482#66867C2311yescharacteristic
483C4×C11⋊C8C2311yescharacteristic
484#62015—111nomaximal, Sylow
485C24×C11—21no—
486C24×C11—21no—
487C23×D11—21no—
488C23×D11—21no—
489C23×D11—21no—
490C23×D11—21no—
491C11×#41—41no—
492C11×#41—41no—
493C2×Q8×C11C2411yescharacteristic
494C2×D4×C11—22no—
495C2×D4×C11—21no—
496C2×D4×C11—21no—
497C2×D4×C11—21no—
498C2×D4×C11—21no—
499C2×D4×C11—21no—
500C2×D4×C11—21no—
501C2×D4×C11—21no—
502C2×D4×C11—41no—
503C2×D4×C11—41no—
504C2×D4×C11—41no—
505C2×D4×C11C2411yescharacteristic
506C2×D4×C11C2411yescharacteristic
507C2×D4×C11C2411yescharacteristic
508C2×D4×C11C2411yescharacteristic
509C2×D4×C11C2411yescharacteristic
510C22×C4×C11—21no—
511C22×C4×C11—21no—
512C22×C4×C11—21no—
513C22×C4×C11—21no—
514C22×C4×C11—21no—
515C22×C4×C11C2411yescharacteristic
516C2×C22⋊D11—21no—
517C2×C22⋊D11—21no—
518C2×C22⋊D11—21no—
519C2×C22⋊D11—21no—
520C2×C22⋊D11—21no—
521C2×C22⋊D11—21no—
522C2×C22⋊D11—21no—
523C2×C22⋊D11—21no—
524C2×C22⋊D11—21no—
525C2×C22⋊D11—21no—
526C2×C22⋊D11—21no—
527C2×C22⋊D11—21no—
528C2×C22⋊D11—21no—
529C2×C22⋊D11—21no—
530C2×C22⋊D11—21no—
531C2×C22⋊D11—21no—
532C2×C22⋊D11—21no—
533C2×C22⋊D11—21no—
534C2×C22⋊D11—21no—
535C2×C22⋊D11—82no—
536C2×C22⋊D11—82no—
537C2×C22⋊D11—82no—
538C2×C22⋊D11C2×D411yescharacteristic
539C2×C22⋊D11C2×D411yescharacteristic
540C22×Dic11—21no—
541C22×Dic11—21no—
542C22×Dic11—21no—
543C22×Dic11—21no—
544C22×Dic11—21no—
545C22×Dic11—21no—
546Q8×D11—41no—
547Q8×D11—41no—
548#4341—41no—
549#4341—41no—
550#4341—82no—
551D4×D11—22no—
552D4×D11—22no—
553D4×D11—41no—
554D4×D11—41no—
555D4×D11—41no—
556D4×D11—41no—
557D4×D11—41no—
558D4×D11—41no—
559D4×D11—82no—
560#4339—82no—
561#4339—82no—
562C2×D44—21no—
563C2×D44—21no—
564C2×D44—21no—
565C2×D44—21no—
566C2×D44—82no—
567C2×D44C2×D411yescharacteristic
568C2×D44C2411yescharacteristic
569C2×D44C2411yescharacteristic
570C2×D44C2411yescharacteristic
571C2×C4×D11—21no—
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—82no—
579C2×C4×D11C2×D411yescharacteristic
580C2×C4×D11C2×D411yescharacteristic
581C2×C4×D11C2411yescharacteristic
582C2×C4×D11C2411yescharacteristic
583C2×Dic22—21no—
584C2×Dic22—21no—
585C2×Dic22—21no—
586C2×Dic22C2×D411yescharacteristic
587C2×Dic22C2411yescharacteristic
588C11×SD16—22no—
589C11×SD16—41no—
590C11×D8—22no—
591C11×D8—22no—
592C11×D8—22no—
593C11×D8—41no—
594C11×D8—41no—
595C11×D8—41no—
596C11×M16—41no—
597C2×C8×C11—41no—
598C2×C8×C11C2411yescharacteristic
599C2×C8×C11C2411yescharacteristic
600C2×C8×C11C2411yescharacteristic
601C2×C8×C11C2411yescharacteristic
602C11×C4⋊C4C2×D411yescharacteristic
603C11×C4⋊C4C2×D411yescharacteristic
604C11×C4⋊C4C2411yescharacteristic
605C11×C4⋊C4C2411yescharacteristic
606C11×C22⋊C4—21no—
607C11×C22⋊C4—21no—
608C11×C22⋊C4—21no—
609C11×C22⋊C4—21no—
610C11×C22⋊C4—21no—
611C11×C22⋊C4—21no—
612C11×C22⋊C4—21no—
613C11×C22⋊C4—21no—
614C11×C22⋊C4—21no—
615C11×C22⋊C4C2×D411yescharacteristic
616C11×C22⋊C4C2×D411yescharacteristic
617C42×C11—21no—
618C42×C11C2411yescharacteristic
619C42×C11C2411yescharacteristic
620C22⋊Dic11—21no—
621C22⋊Dic11—21no—
622C22⋊Dic11—21no—
623C22⋊Dic11—21no—
624C22⋊Dic11—21no—
625C22⋊Dic11—21no—
626C22⋊Dic11—21no—
627C22⋊Dic11—21no—
628C22⋊Dic11—21no—
629C22⋊Dic11—21no—
630C22⋊Dic11—21no—
631C22⋊Dic11—21no—
632C22⋊Dic11—21no—
633C22⋊Dic11—21no—
634C22⋊Dic11—21no—
635C22⋊Dic11C2×D411yescharacteristic
636C22⋊Dic11C2×D411yescharacteristic
637#4325—41no—
638#4325—41no—
639#4324—22no—
640#4324—41no—
641#4323—22no—
642#4323—41no—
643#4323—41no—
644#4323—41no—
645#4323—41no—
646#4323—41no—
647#4323—41no—
648#4323—41no—
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)⋊C4—21no—
665(C2×D11)⋊C4C2×D411yescharacteristic
666(C2×D11)⋊C4C2×D411yescharacteristic
667(C2×D11)⋊C4C2×D411yescharacteristic
668(C2×D11)⋊C4C2×D411yescharacteristic
669(C2×D11)⋊C4C2×D411yescharacteristic
670(C2×D11)⋊C4C2×D411yescharacteristic
671C4⋊Dic11—21no—
672C4⋊Dic11—21no—
673C4⋊Dic11—21no—
674C4⋊Dic11C2×D411yescharacteristic
675C4⋊Dic11C2×D411yescharacteristic
676C4⋊Dic11C2411yescharacteristic
677C4⋊Dic11C2411yescharacteristic
678C4⋊Dic11C2411yescharacteristic
679C4⋊Dic11C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
689Dic11⋊C4C2×D411yescharacteristic
690Dic11⋊C4C2×D411yescharacteristic
691Dic11⋊C4C2×D411yescharacteristic
692Dic11⋊C4C2×D411yescharacteristic
693Dic11⋊C4C2×D411yescharacteristic
694C4×Dic11—21no—
695C4×Dic11—21no—
696C4×Dic11—21no—
697C4×Dic11C2×D411yescharacteristic
698C4×Dic11C2×D411yescharacteristic
699C4×Dic11C2411yescharacteristic
700C4×Dic11C2411yescharacteristic
701C2×C11⋊C8C2411yescharacteristic
702C2×C11⋊C8C2411yescharacteristic
703C2×C11⋊C8C2411yescharacteristic
704C2×C11⋊C8C2411yescharacteristic
705D88—41no—
706D88—41no—
707#4314—41no—
708#4314—41no—
709#4313—41no—
710C8×D11—41no—
711C8×D11—41no—
712C8×D11—41no—
713#3558—111no—
714#3519—111no—
715#3399—111no—
716#3399—111no—
717#3370—111no—
718#3370—111no—
719#3319—111no—
720#3319—111no—
721#3318—111no—
722#3318—111no—
723#3301—111no—
724#3301—111no—
725D4×D8—111no—
726D4×D8—111no—
727#3265—111no—
728#3265—111no—
729#3264—111no—
730#3264—111no—
731#3257—111no—
732#3257—111no—
733#3245—111no—
734#3220—111no—
735#3220—111no—
736#3213—111no—
737#3118—111no—
738#3118—111no—
739#3109—111no—
740#3041—111no—
741#3041D1111yescharacteristic, complemented
742C2×#463—111no—
743#2992—111no—
744C23×C11—21no—
745C23×C11—21no—
746C23×C11—21no—
747C23×C11—21no—
748C23×C11—21no—
749C23×C11—42no—
750C23×C11—81no—
751C23×C11—81no—
752C23×C11—81no—
753C23×C11—81no—
754C23×C11—81no—
755C23×C11C22×D411yescharacteristic
756C22×D11—21no—
757C22×D11—21no—
758C22×D11—21no—
759C22×D11—42no—
760C22×D11—42no—
761C22×D11—42no—
762C22×D11—42no—
763C22×D11—81no—
764C22×D11—81no—
765C22×D11—81no—
766C22×D11—81no—
767C22×D11—81no—
768C22×D11—81no—
769C22×D11—81no—
770C22×D11—81no—
771C22×D11C22×D411yescharacteristic
772C22×D11C22×D411yescharacteristic
773Q8×C11—21no—
774Q8×C11—21no—
775D4×C11—21no—
776D4×C11—21no—
777D4×C11—21no—
778D4×C11—21no—
779D4×C11—21no—
780D4×C11—21no—
781D4×C11—21no—
782D4×C11—21no—
783D4×C11—21no—
784D4×C11—42no—
785D4×C11—81no—
786D4×C11—81no—
787D4×C11—81no—
788D4×C11—81no—
789D4×C11—81no—
790D4×C11—81no—
791D4×C11H(5,𝔽2)12yes—
792C2×C4×C11—21no—
793C2×C4×C11—21no—
794C2×C4×C11—21no—
795C2×C4×C11—21no—
796C2×C4×C11—21no—
797C2×C4×C11—81no—
798C2×C4×C11—81no—
799C2×C4×C11—81no—
800C2×C4×C11—81no—
801C2×C4×C11—81no—
802C2×C4×C11C22×D411yescharacteristic
803C2×C4×C11C22×D411yescharacteristic
804C2×C4×C11C22×D411yescharacteristic
805C2×C4×C11C22×D411yescharacteristic
806C2×C4×C11C22×D411yescharacteristic
807C2×C4×C11C2511yescharacteristic
808C22⋊D11—22no—
809C22⋊D11—41no—
810C22⋊D11—42no—
811C22⋊D11—42no—
812C22⋊D11—42no—
813C22⋊D11—42no—
814C22⋊D11—42no—
815C22⋊D11—42no—
816C22⋊D11—81no—
817C22⋊D11—81no—
818C22⋊D11—81no—
819C22⋊D11—81no—
820C22⋊D11—81no—
821C22⋊D11—81no—
822C22⋊D11—81no—
823C22⋊D11—81no—
824C22⋊D11—81no—
825C22⋊D11—81no—
826C22⋊D11—81no—
827C22⋊D11—81no—
828C22⋊D11—81no—
829C2×Dic11—21no—
830C2×Dic11—21no—
831C2×Dic11—21no—
832C2×Dic11—21no—
833C2×Dic11—21no—
834C2×Dic11—42no—
835C2×Dic11—81no—
836C2×Dic11—81no—
837C2×Dic11—81no—
838C2×Dic11—81no—
839C2×Dic11—81no—
840C2×Dic11C22×D411yescharacteristic
841C2×Dic11C22×D411yescharacteristic
842C2×Dic11C22×D411yescharacteristic
843C2×Dic11C22×D411yescharacteristic
844C2×Dic11C22×D411yescharacteristic
845C2×Dic11C22×D411yescharacteristic
846D44—22no—
847D44—21no—
848D44—21no—
849D44—21no—
850D44—21no—
851D44—21no—
852D44—21no—
853D44—42no—
854D44—81no—
855D44—81no—
856D44—81no—
857C4×D11—22no—
858C4×D11—21no—
859C4×D11—21no—
860C4×D11—21no—
861C4×D11—21no—
862C4×D11—41no—
863C4×D11—42no—
864C4×D11—81no—
865C4×D11—81no—
866C4×D11—81no—
867C4×D11—81no—
868C4×D11—81no—
869C4×D11—81no—
870Dic22—21no—
871Dic22—21no—
872Dic22—41no—
873Dic22—81no—
874Dic22—81no—
875Dic22—81no—
876C8×C11—21no—
877C8×C11—21no—
878C8×C11—21no—
879C8×C11—21no—
880C11⋊C8—21no—
881C11⋊C8—21no—
882C11⋊C8—21no—
883C11⋊C8—21no—
884C2×AGL(1,ℤ/8)—111no—
885C2×AGL(1,ℤ/8)C2×D1111yescharacteristic, complemented
886C22×SD16—111no—
887C22×D8—111no—
888C22×D8—111no—
889C22×D8C2×D1111yescharacteristic, complemented
890#562—221no—
891H(3,𝔽4)—221no—
892#559—111no—
893#559—111no—
894#555—111no—
895#554—111no—
896#553—111no—
897#553—111no—
898#553—221no—
899#550—111no—
900#548—111no—
901#548—111no—
902#546—111no—
903#546—111no—
904#546—221no—
905#546—221no—
906#546—221no—
907#546—221no—
908#546—221no—
909D42—111no—
910D42—111no—
911D42—111no—
912D42—111no—
913D42—111no—
914#542—111no—
915#542—111no—
916#540—111no—
917#540—111no—
918#538—221no—
919#538—221no—
920#538—221no—
921#538—221no—
922#538—221no—
923#535—111no—
924#535C2×D1111yescharacteristic, complemented
925#534—221no—
926#532—111no—
927#532—111no—
928#529—111no—
929C2×#124—111no—
930#525—221no—
931C2×#121—221no—
932#518—111no—
933#518C2×D1111yescharacteristic, complemented
934C2×C4×D4—111no—
935#496—111no—
936#496—111no—
937#496—111no—
938#496—111no—
939#493—111no—
940#493—111no—
941#490—111no—
942#490—111no—
943#489—111no—
944#489—111no—
945#488—111no—
946#488—111no—
947#485—111no—
948#485—111no—
949#482—111no—
950#482—111no—
951#481—111no—
952#481—111no—
953#479—111no—
954#479—111no—
955#478—111no—
956#478—111no—
957#476—111no—
958#476—111no—
959#474—111no—
960#474—111no—
961#474—111no—
962#474—111no—
963#469—111no—
964#469—111no—
965#468—111no—
966#468—111no—
967#466—111no—
968#466—111no—
969#466—111no—
970#466—111no—
971#466—111no—
972#466—111no—
973#465—111no—
974#465—111no—
975#463—111no—
976#463—111no—
977#463—111no—
978#463—111no—
979#463—111no—
980#463—111no—
981#463—111no—
982#463—111no—
983#463—111no—
984#463—111no—
985#463—111no—
986#463—111no—
987#463C2×D1111yescharacteristic, complemented
988#463C2×D1111yescharacteristic, complemented
989#463C2×D1111yescharacteristic, complemented
990#463C2×D1111yescharacteristic, complemented
991#460—111no—
992#460—111no—
993#459—111no—
994#459—111no—
995#459—111no—
996#459—111no—
997#459—111no—
998#459—111no—
999#459—111no—
1000#459—111no—
1001#459C2×D1111yescharacteristic
1002#459C2×D1111yescharacteristic, complemented
1003#459C2×D1111yescharacteristic, complemented
1004#459C2×D1111yescharacteristic, complemented
1005#450—111no—
1006#450—111no—
1007#449—111no—
1008#449—111no—
1009#449—111no—
1010#449—111no—
1011#448—111no—
1012#448—111no—
1013#447—111no—
1014#447—111no—
1015#447—111no—
1016#447—111no—
1017#447—111no—
1018#447—111no—
1019#447—111no—
1020#447—111no—
1021#447—111no—
1022#447—111no—
1023#446—111no—
1024#446—111no—
1025#442—111no—
1026#442—111no—
1027#442—111no—
1028#442—111no—
1029#442—111no—
1030#442—111no—
1031#440—111no—
1032#440—111no—
1033C4×SD16—111no—
1034C4×SD16—111no—
1035C4×D8—111no—
1036C4×D8—111no—
1037#435—111no—
1038#435—111no—
1039#435—111no—
1040#435—111no—
1041C8×D4—111no—
1042C8×D4—111no—
1043#433—111no—
1044#433—111no—
1045#432—111no—
1046#424—111no—
1047#424C2×D1111yescharacteristic, complemented
1048C2×C4⋊C8—111no—
1049#418—111no—
1050#418C2×D1111yescharacteristic, complemented
1051#416—111no—
1052#416C2×D1111yescharacteristic, complemented
1053C2×#103—111no—
1054C2×#102—111no—
1055C22×C11—21no—
1056C22×C11—21no—
1057C22×C11—22no—
1058C22×C11—21no—
1059C22×C11—41no—
1060C22×C11—41no—
1061C22×C11—41no—
1062C22×C11—41no—
1063C22×C11—41no—
1064C22×C11—41no—
1065C22×C11—41no—
1066C22×C11—41no—
1067C22×C11—41no—
1068C22×C11—41no—
1069C22×C11—41no—
1070C22×C11—41no—
1071C22×C11—41no—
1072C22×C11—41no—
1073C22×C11—162no—
1074C22×C11—162no—
1075C22×C11C23×D411yescharacteristic
1076C2×D11—21no—
1077C2×D11—21no—
1078C2×D11—21no—
1079C2×D11—21no—
1080C2×D11—21no—
1081C2×D11—41no—
1082C2×D11—41no—
1083C2×D11—41no—
1084C2×D11—41no—
1085C2×D11—41no—
1086C2×D11—41no—
1087C2×D11—41no—
1088C2×D11—41no—
1089C2×D11—41no—
1090C2×D11—84no—
1091C2×D11—162no—
1092C2×D11—162no—
1093C2×D11—162no—
1094C2×D11#57612yes—
1095C4×C11—21no—
1096C4×C11—21no—
1097C4×C11—21no—
1098C4×C11—21no—
1099C4×C11—21no—
1100C4×C11—41no—
1101C4×C11—41no—
1102C4×C11—41no—
1103C4×C11C2×H(5,𝔽2)11yescharacteristic
1104C4×C11#58511yescharacteristic
1105Dic11—21no—
1106Dic11—21no—
1107Dic11—21no—
1108Dic11—21no—
1109Dic11—21no—
1110Dic11—21no—
1111Dic11—41no—
1112Dic11—41no—
1113Dic11—41no—
1114Dic11—41no—
1115Dic11—41no—
1116C2×#41—111no—
1117C2×#41—221no—
1118C2×#41—221no—
1119C2×#41—221no—
1120C2×#41C22×D1111yescharacteristic
1121C22×Q8—111no—
1122C22×D4—111no—
1123C22×D4—111no—
1124C22×D4—111no—
1125C22×D4—111no—
1126C22×D4—221no—
1127C22×D4—221no—
1128C22×D4—221no—
1129C22×D4—221no—
1130C22×D4—221no—
1131C22×D4C22×D1111yescharacteristic
1132C22×D4C22×D1111yescharacteristic
1133C23×C4—221no—
1134AGL(1,ℤ/8)—42no—
1135AGL(1,ℤ/8)—442no—
1136C2×SD16—111no—
1137C2×SD16—111no—
1138C2×SD16—111no—
1139C2×SD16—111no—
1140C2×SD16—111no—
1141C2×SD16—111no—
1142C2×SD16—442no—
1143C2×SD16C22×D1111yescharacteristic
1144C2×SD16C22×D1111yescharacteristic
1145C2×D8—42no—
1146C2×D8—111no—
1147C2×D8—111no—
1148C2×D8—111no—
1149C2×D8—111no—
1150C2×D8—111no—
1151C2×D8—111no—
1152C2×D8—111no—
1153C2×D8—111no—
1154C2×D8—111no—
1155C2×D8—111no—
1156C2×D8—442no—
1157C2×D8—442no—
1158C2×D8C22×D1111yescharacteristic
1159C2×D8C22×D1111yescharacteristic
1160C2×D8C22×D1111yescharacteristic
1161C2×D8C22×D1111yescharacteristic
1162C2×D8C22×D1111yescharacteristic
1163C2×D8C22×D1111yescharacteristic
1164C2×M16—111no—
1165C2×M16C22×D1111yescharacteristic
1166C22×C8—111no—
1167C22×C8—111no—
1168C22×C8—111no—
1169C22×C8C22×D1111yescharacteristic
1170C4⋊Q8—111no—
1171C4⋊Q8—111no—
1172#127—111no—
1173#127—111no—
1174#127—111no—
1175#127—111no—
1176#127C22×D1111yescharacteristic
1177#127C22×D1111yescharacteristic
1178#126—111no—
1179#126—111no—
1180#126—221no—
1181#126—221no—
1182#126—221no—
1183#126—221no—
1184#125—111no—
1185#125—111no—
1186#125—111no—
1187#124—111no—
1188#124—111no—
1189#124—111no—
1190#124—111no—
1191#124—111no—
1192#124—221no—
1193#124—221no—
1194#124—221no—
1195#124—221no—
1196#124—221no—
1197#124—221no—
1198#124—221no—
1199#124—221no—
1200#124—221no—
1201#124—221no—
1202#124—221no—
1203#124—221no—
1204#124C22×D1111yescharacteristic
1205#124C22×D1111yescharacteristic
1206#123—111no—
1207#123—111no—
1208#123—221no—
1209#123—221no—
1210#123—221no—
1211#123—221no—
1212#123—221no—
1213#123—221no—
1214#123—221no—
1215#123—221no—
1216#123—221no—
1217#123—221no—
1218#123—221no—
1219#123—221no—
1220#123—221no—
1221#123—221no—
1222C22⋊Q8—111no—
1223C22⋊Q8—111no—
1224C22⋊Q8—111no—
1225C22⋊Q8—221no—
1226C22⋊Q8—221no—
1227C22⋊Q8—221no—
1228C22⋊Q8—221no—
1229C22⋊Q8—221no—
1230C22⋊Q8—221no—
1231C22⋊Q8—221no—
1232#121—21no—
1233#121—21no—
1234#121—111no—
1235#121—111no—
1236#121—111no—
1237#121—111no—
1238#121—111no—
1239#121—111no—
1240#121—111no—
1241#121—111no—
1242#121—111no—
1243#121—111no—
1244#121—111no—
1245#121—221no—
1246#121—221no—
1247#121—221no—
1248#121—221no—
1249#121—221no—
1250#121—221no—
1251#121—221no—
1252#121—221no—
1253#121—221no—
1254#121—221no—
1255#121—221no—
1256#121—221no—
1257#121—221no—
1258#121—221no—
1259#121—221no—
1260#121—221no—
1261#121—221no—
1262#121—221no—
1263#121—221no—
1264#121—221no—
1265#121—221no—
1266#121—221no—
1267#121—221no—
1268#120—21no—
1269#120—21no—
1270#120—221no—
1271#120—221no—
1272#120—221no—
1273#120—221no—
1274#120—221no—
1275#120—221no—
1276#120—221no—
1277#120—221no—
1278#120—221no—
1279#120—221no—
1280#120—221no—
1281#120—221no—
1282#120—221no—
1283#120—221no—
1284C4×Q8—111no—
1285C4×Q8—111no—
1286C4×Q8—111no—
1287C4×D4—21no—
1288C4×D4—21no—
1289C4×D4—111no—
1290C4×D4—111no—
1291C4×D4—111no—
1292C4×D4—111no—
1293C4×D4—111no—
1294C4×D4—111no—
1295C4×D4—111no—
1296C4×D4—111no—
1297C4×D4—111no—
1298C4×D4—111no—
1299C4×D4—111no—
1300C4×D4—111no—
1301C4×D4—111no—
1302C4×D4—221no—
1303C4×D4—221no—
1304C4×D4—221no—
1305C4×D4—221no—
1306C4×D4—221no—
1307C4×D4—221no—
1308C4×D4—221no—
1309C4×D4—221no—
1310C4×D4—221no—
1311C4×D4—221no—
1312C4×D4—221no—
1313C4×D4—221no—
1314C4×D4C22×D1111yescharacteristic
1315C4×D4C22×D1111yescharacteristic
1316C4×D4C22×D1111yescharacteristic
1317C4×D4C22×D1111yescharacteristic
1318#117—111no—
1319#117—111no—
1320#117—221no—
1321#117C22×D1111yescharacteristic
1322#117C22×D1111yescharacteristic
1323C2×C4⋊C4—111no—
1324C2×C4⋊C4—221no—
1325C2×C22⋊C4—21no—
1326C2×C22⋊C4—21no—
1327C2×C22⋊C4—221no—
1328C2×C22⋊C4—221no—
1329C2×C22⋊C4—221no—
1330C2×C22⋊C4—221no—
1331C2×C22⋊C4—221no—
1332C2×C22⋊C4—221no—
1333C2×C22⋊C4—221no—
1334C2×C42—111no—
1335#107—111no—
1336#107—111no—
1337#107—111no—
1338#107—111no—
1339#106—111no—
1340#106—111no—
1341#106—111no—
1342#106—111no—
1343C4⋊C8—111no—
1344C4⋊C8—111no—
1345C4⋊C8—111no—
1346C4⋊C8—111no—
1347C4⋊C8—111no—
1348C4⋊C8—111no—
1349C4⋊C8C22×D1111yescharacteristic
1350C4⋊C8C22×D1111yescharacteristic
1351C4⋊C8C22×D1111yescharacteristic
1352C4⋊C8C22×D1111yescharacteristic
1353#103—111no—
1354#103—111no—
1355#103—111no—
1356#103—111no—
1357#103—111no—
1358#103—111no—
1359#103C22×D1111yescharacteristic
1360#103C22×D1111yescharacteristic
1361#102—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#102C22×D1111yescharacteristic
1380#102C22×D1111yescharacteristic
1381#102C22×D1111yescharacteristic
1382#102C22×D1111yescharacteristic
1383#102C22×D1111yescharacteristic
1384#102C22×D1111yescharacteristic
1385C22⋊C8—111no—
1386C22⋊C8—111no—
1387C22⋊C8—111no—
1388C22⋊C8—111no—
1389C22⋊C8—111no—
1390C22⋊C8—111no—
1391#97—111no—
1392#97—111no—
1393#97—111no—
1394#97—111no—
1395C4×C8—111no—
1396C4×C8—111no—
1397C2×C11—42no—
1398C2×C11—41no—
1399C2×C11—81no—
1400C2×C11—81no—
1401C2×C11—81no—
1402C2×C11—81no—
1403C2×C11#348811yescharacteristic
1404C2×C11C2×#57611yescharacteristic
1405C2×C11#358511yescharacteristic
1406D11—22no—
1407D11—41no—
1408D11—81no—
1409D11—81no—
1410D11—81no—
1411C24—21no—
1412C24—21no—
1413C24—221no—
1414C24—221no—
1415C24—221no—
1416C24—221no—
1417#41—41no—
1418#41—41no—
1419#41—441no—
1420#41—441no—
1421#41—882no—
1422#41—882no—
1423#41—882no—
1424C2×Q8—111no—
1425C2×Q8—111no—
1426C2×Q8—221no—
1427C2×Q8—221no—
1428C2×Q8—221no—
1429C2×Q8—441no—
1430C2×Q8—441no—
1431C2×Q8C23×D1111yescharacteristic
1432C2×D4—22no—
1433C2×D4—21no—
1434C2×D4—21no—
1435C2×D4—21no—
1436C2×D4—21no—
1437C2×D4—21no—
1438C2×D4—21no—
1439C2×D4—21no—
1440C2×D4—41no—
1441C2×D4—41no—
1442C2×D4—41no—
1443C2×D4—111no—
1444C2×D4—111no—
1445C2×D4—111no—
1446C2×D4—111no—
1447C2×D4—111no—
1448C2×D4—111no—
1449C2×D4—221no—
1450C2×D4—221no—
1451C2×D4—221no—
1452C2×D4—221no—
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—222no—
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—221no—
1472C2×D4—221no—
1473C2×D4—221no—
1474C2×D4—441no—
1475C2×D4—441no—
1476C2×D4—441no—
1477C2×D4—441no—
1478C2×D4—441no—
1479C2×D4—441no—
1480C2×D4—882no—
1481C2×D4—882no—
1482C2×D4—882no—
1483C2×D4—882no—
1484C2×D4—882no—
1485C2×D4C23×D1111yescharacteristic
1486C2×D4C23×D1111yescharacteristic
1487C2×D4C23×D1111yescharacteristic
1488C2×D4C23×D1111yescharacteristic
1489C2×D4C23×D1111yescharacteristic
1490C22×C4—21no—
1491C22×C4—21no—
1492C22×C4—21no—
1493C22×C4—21no—
1494C22×C4—21no—
1495C22×C4—111no—
1496C22×C4—111no—
1497C22×C4—111no—
1498C22×C4—111no—
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—882no—
1513C22×C4C23×D1111yescharacteristic
1514SD16—22no—
1515SD16—41no—
1516SD16—222no—
1517SD16—441no—
1518SD16—441no—
1519SD16—441no—
1520SD16—441no—
1521SD16—441no—
1522D8—22no—
1523D8—22no—
1524D8—22no—
1525D8—41no—
1526D8—41no—
1527D8—41no—
1528D8—222no—
1529D8—441no—
1530D8—441no—
1531D8—441no—
1532D8—441no—
1533D8—441no—
1534D8—441no—
1535D8—441no—
1536D8—441no—
1537D8—441no—
1538M16—41no—
1539M16—441no—
1540C2×C8—41no—
1541C2×C8—111no—
1542C2×C8—111no—
1543C2×C8—111no—
1544C2×C8—111no—
1545C2×C8—441no—
1546C2×C8—441no—
1547C2×C8—441no—
1548C2×C8C23×D1111yescharacteristic
1549C2×C8C23×D1111yescharacteristic
1550C2×C8C23×D1111yescharacteristic
1551C2×C8C23×D1111yescharacteristic
1552C4⋊C4—111no—
1553C4⋊C4—111no—
1554C4⋊C4—111no—
1555C4⋊C4—111no—
1556C4⋊C4—111no—
1557C4⋊C4—111no—
1558C4⋊C4—111no—
1559C4⋊C4—111no—
1560C4⋊C4—111no—
1561C4⋊C4—111no—
1562C4⋊C4—111no—
1563C4⋊C4—111no—
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⋊C4D4×D1111yescharacteristic
1576C4⋊C4D4×D1111yescharacteristic
1577C4⋊C4C23×D1111yescharacteristic
1578C4⋊C4C23×D1111yescharacteristic
1579C22⋊C4—21no—
1580C22⋊C4—21no—
1581C22⋊C4—21no—
1582C22⋊C4—21no—
1583C22⋊C4—21no—
1584C22⋊C4—21no—
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—111no—
1589C22⋊C4—111no—
1590C22⋊C4—111no—
1591C22⋊C4—111no—
1592C22⋊C4—111no—
1593C22⋊C4—111no—
1594C22⋊C4—111no—
1595C22⋊C4—111no—
1596C22⋊C4—221no—
1597C22⋊C4—221no—
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⋊C4—221no—
1623C22⋊C4—221no—
1624C22⋊C4—221no—
1625C22⋊C4—221no—
1626C22⋊C4—221no—
1627C22⋊C4D4×D1111yescharacteristic
1628C22⋊C4D4×D1111yescharacteristic
1629C42—21no—
1630C42—111no—
1631C42—111no—
1632C42—111no—
1633C42—111no—
1634C42—221no—
1635C42—221no—
1636C42—221no—
1637C42C23×D1111yescharacteristic
1638C42C23×D1111yescharacteristic
1639C11#6201511yescharacteristic, complemented, Sylow
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—42no—
1646C23—81no—
1647C23—81no—
1648C23—81no—
1649C23—81no—
1650C23—81no—
1651C23—111no—
1652C23—111no—
1653C23—221no—
1654C23—221no—
1655C23—221no—
1656C23—442no—
1657C23—442no—
1658C23—442no—
1659C23—442no—
1660C23—881no—
1661C23—881no—
1662C23—881no—
1663C23—881no—
1664C23—881no—
1665C23—881no—
1666C23—881no—
1667C23—881no—
1668C23C2×D4×D1111yescharacteristic
1669Q8—21no—
1670Q8—21no—
1671Q8—221no—
1672Q8—221no—
1673Q8—441no—
1674Q8—881no—
1675Q8—881no—
1676Q8—881no—
1677D4—21no—
1678D4—21no—
1679D4—21no—
1680D4—21no—
1681D4—21no—
1682D4—21no—
1683D4—21no—
1684D4—21no—
1685D4—21no—
1686D4—42no—
1687D4—81no—
1688D4—81no—
1689D4—81no—
1690D4—81no—
1691D4—81no—
1692D4—81no—
1693D4—222no—
1694D4—222no—
1695D4—221no—
1696D4—221no—
1697D4—221no—
1698D4—221no—
1699D4—221no—
1700D4—221no—
1701D4—442no—
1702D4—441no—
1703D4—442no—
1704D4—442no—
1705D4—442no—
1706D4—442no—
1707D4—442no—
1708D4—442no—
1709D4—881no—
1710D4—881no—
1711D4—881no—
1712D4—881no—
1713D4—881no—
1714D4—881no—
1715D4—881no—
1716D4—881no—
1717D4—881no—
1718D4—881no—
1719D4—881no—
1720D4—881no—
1721D4—881no—
1722D4—881no—
1723D4—881no—
1724D4—881no—
1725D4#6703712yes—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—81no—
1732C2×C4—81no—
1733C2×C4—81no—
1734C2×C4—81no—
1735C2×C4—81no—
1736C2×C4—111no—
1737C2×C4—111no—
1738C2×C4—111no—
1739C2×C4—111no—
1740C2×C4—111no—
1741C2×C4—111no—
1742C2×C4—222no—
1743C2×C4—221no—
1744C2×C4—221no—
1745C2×C4—221no—
1746C2×C4—221no—
1747C2×C4—221no—
1748C2×C4—221no—
1749C2×C4—221no—
1750C2×C4—221no—
1751C2×C4—221no—
1752C2×C4—441no—
1753C2×C4—442no—
1754C2×C4—442no—
1755C2×C4—881no—
1756C2×C4—881no—
1757C2×C4—881no—
1758C2×C4—881no—
1759C2×C4—881no—
1760C2×C4—881no—
1761C2×C4—881no—
1762C2×C4—881no—
1763C2×C4—881no—
1764C2×C4—881no—
1765C2×C4—881no—
1766C2×C4C2×D4×D1111yescharacteristic
1767C2×C4C2×D4×D1111yescharacteristic
1768C2×C4C2×D4×D1111yescharacteristic
1769C2×C4C2×D4×D1111yescharacteristic
1770C2×C4C2×D4×D1111yescharacteristic
1771C2×C4C24×D1111yescharacteristic
1772C8—21no—
1773C8—21no—
1774C8—21no—
1775C8—21no—
1776C8—221no—
1777C8—221no—
1778C8—221no—
1779C8—221no—
1780C22—21no—
1781C22—22no—
1782C22—21no—
1783C22—21no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—112no—
1799C22—162no—
1800C22—162no—
1801C22—221no—
1802C22—221no—
1803C22—221no—
1804C22—221no—
1805C22—221no—
1806C22—441no—
1807C22—441no—
1808C22—441no—
1809C22—441no—
1810C22—441no—
1811C22—441no—
1812C22—441no—
1813C22—441no—
1814C22—441no—
1815C22—884no—
1816C22—1762no—
1817C22—1762no—
1818C22—1762no—
1819C22C22×D4×D1111yescharacteristic
1820C4—21no—
1821C4—21no—
1822C4—21no—
1823C4—21no—
1824C4—21no—
1825C4—41no—
1826C4—41no—
1827C4—41no—
1828C4—221no—
1829C4—221no—
1830C4—221no—
1831C4—221no—
1832C4—221no—
1833C4—221no—
1834C4—441no—
1835C4—441no—
1836C4—441no—
1837C4—441no—
1838C4—441no—
1839C4C2×#6703711yescharacteristic
1840C4#1062345311yescharacteristic
1841C2—41no—
1842C2—42no—
1843C2—81no—
1844C2—81no—
1845C2—81no—
1846C2—81no—
1847C2—222no—
1848C2—441no—
1849C2—881no—
1850C2—881no—
1851C2—881no—
1852C2#1308228111yescharacteristic
1853C2D11×#57611yescharacteristic
1854C2#1308339111yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3041C2
socleC22×C11C23×D4
hypercenter#3041D11
hypocenterC11#62015
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ #117 ◁ #3041

Complements

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

NH ≅ G/Ntype
1. #13083134C2semidirect
2. #13082638C2semidirect
3. #13081662C2semidirect
4. #13081653C2semidirect
5. #13081373C2semidirect
6. #13081362C2semidirect
7. #13080773C2semidirect
8. #13080768C2semidirect
9. #13080764C2semidirect
10. #13080758C2semidirect
11. #13080525C2semidirect
12. #13080519C2semidirect
13. #13080288C2semidirect
14. D8×C22⋊D11C2semidirect
15. #13080117C2semidirect
16. #13080105C2semidirect
17. #13080096C2semidirect
18. #13080090C2semidirect
19. #13080032C2semidirect
20. #13080029C2semidirect
21. #13079924C2semidirect
22. #13079666C2semidirect
23. #13079665C2semidirect
24. #13079601C2semidirect
25. #13078800C2semidirect
26. #13078797C2semidirect
27. #13078706C2semidirect
28. #13078114C2semidirect
29. D11×#463C2semidirect
30. #13077753C2semidirect
31. C11×#3041C2semidirect
32. C2×C11×AGL(1,ℤ/8)C22semidirect
33. C22×C11×D8C22semidirect
34. C11×#535C22semidirect
35. C11×#518C22semidirect
36. #10623362C22semidirect
37. #10623360C22semidirect
38. #10623337C22semidirect
39. D4×C22⋊D11C22semidirect
40. D4×C22⋊D11C22semidirect
41. D4×C22⋊D11C22semidirect
42. C2×SD16×D11C22semidirect
43. C2×#66964C22semidirect
45. C2×D8×D11C22semidirect
46. #10623248C22semidirect
47. #10623247C22semidirect
48. #10623246C22semidirect
49. #10623244C22semidirect
50. #10623213C22semidirect
51. #10623212C22semidirect
52. #10623208C22semidirect
53. D11×#124C22semidirect
62. #10623093C22semidirect
64. #10623089C22semidirect
65. #10623084C22semidirect
67. D4×D44C22semidirect
68. #10623079C22semidirect
70. #10623076C22semidirect
71. C4×D4×D11C22semidirect
73. #10623070C22semidirect
74. #10623066C22semidirect
75. #10623065C22semidirect
76. #10623063C22semidirect
77. #10623061C22semidirect
83. C11×#463C22semidirect
84. C11×#463C22semidirect
85. C11×#463C22semidirect
86. C11×#463C22semidirect
88. C11×#459C22semidirect
89. C11×#459C22semidirect
90. C11×#459C22semidirect
91. C11×#424C22semidirect
92. C11×#418C22semidirect
93. C11×#416C22semidirect
94. #10622851C22semidirect
95. #10622851C22semidirect
96. #10622831C22semidirect
98. #10622830C22semidirect
99. #10622830C22semidirect
100. #10622789C22semidirect
101. #10622784C22semidirect
102. #10622783C22semidirect
103. #10622782C22semidirect
104. #10622778C22semidirect
105. #10622777C22semidirect
106. #10622776C22semidirect
107. #10622772C22semidirect
108. #10622771C22semidirect
109. #10622770C22semidirect
110. #10622770C22semidirect
112. #10622769C22semidirect
113. #10622769C22semidirect
114. #10622769C22semidirect
115. #10622769C22semidirect
116. #10622767C22semidirect
117. #10622767C22semidirect
118. #10622766C22semidirect
119. #10622766C22semidirect
120. #10622765C22semidirect
121. #10622765C22semidirect
122. #10622764C22semidirect
124. #10622763C22semidirect
125. #10622763C22semidirect
126. #10622763C22semidirect
127. D8×Dic11C22semidirect
128. #10622748C22semidirect
129. #10622747C22semidirect
130. #10622740C22semidirect
131. #10622740C22semidirect
132. #10622728C22semidirect
133. #10622727C22semidirect
134. #10622724C22semidirect
135. C8×C22⋊D11C22semidirect
136. #10622686C22semidirect
137. #10622685C22semidirect
138. #10622685C22semidirect
139. #10622684C22semidirect
140. #10622671C22semidirect
141. #10622670C22semidirect
142. #10622670C22semidirect
143. #10622669C22semidirect
144. #10622631C22semidirect
145. C4×#4324C22semidirect
146. #10622629C22semidirect
147. #10622629C22semidirect
148. #10622627C22semidirect
149. C4×#4323C22semidirect
150. #10622621C22semidirect
151. #10622620C22semidirect
152. #10622616C22semidirect
153. #10622613C22semidirect
154. #10622609C22semidirect
155. #10622461C22semidirect
156. #10622460C22semidirect
157. #10622459C22semidirect
158. #10622457C22semidirect
159. #10622457C22semidirect
160. #10622456C22semidirect
161. #10622455C22semidirect
162. #10622453C22semidirect
163. #10622452C22semidirect
164. #10622449C22semidirect
165. #10622448C22semidirect
166. #10622447C22semidirect
167. D11×C4⋊C8C22semidirect
168. #10622444C22semidirect
169. #10622442C22semidirect
170. #10622441C22semidirect
171. #10622432C22semidirect
172. #10622427C22semidirect
173. #10622425C22semidirect
174. #10622419C22semidirect
175. D11×#103C22semidirect
176. #10622412C22semidirect
177. #10622408C22semidirect
178. #10622401C22semidirect
179. #10622400C22semidirect
180. #10622400C22semidirect
181. #10622399C22semidirect
182. #10622398C22semidirect
183. #10622398C22semidirect
184. #10622398C22semidirect
185. #10622397C22semidirect
186. #10622394C22semidirect
187. #10622390C22semidirect
188. #10622390C22semidirect
189. #10622388C22semidirect
190. #10622388C22semidirect
191. #10622388C22semidirect
192. #10622386C22semidirect
193. #10622386C22semidirect
194. #10622385C22semidirect
195. #10622383C22semidirect
196. D11×#102C22semidirect
197. #10622381C22semidirect
198. #10622378C22semidirect
199. #10622377C22semidirect
200. #10622376C22semidirect
201. #10622372C22semidirect
202. #10622372C22semidirect
741. #3041D11semidirect
885. C2×AGL(1,ℤ/8)C2×D11semidirect
889. C22×D8C2×D11semidirect
924. #535C2×D11semidirect
933. #518C2×D11semidirect
987. #463C2×D11semidirect
988. #463C2×D11semidirect
989. #463C2×D11semidirect
990. #463C2×D11semidirect
1002. #459C2×D11semidirect
1003. #459C2×D11semidirect
1004. #459C2×D11semidirect
1047. #424C2×D11semidirect
1050. #418C2×D11semidirect
1052. #416C2×D11semidirect
1639. C11#62015semidirect

Maximal subgroups

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

subgroupindex
#130831342
#130826382
#130816622
#130816532
#130813732
#130813622
#130807732
#130807682
#130807642
#130807582
#130805252
#130805192
#130802882
D8×C22⋊D112
#130801172
#130801052
#130800962
#130800902
#130800322
#130800292
#130799242
#130796662
#130796652
#130796012
#130788002
#130787972
#130787062
#130781142
D11×#4632
#130777532
C11×#30412
#6201511