Finite Group Databasebeta

← #15639524

Subgroups — #15639524

Order 2816.

2108 conjugacy classes of subgroups.

The subgroup lattice has 1916 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082930C211yesmaximal, characteristic, complemented
2#13082273C211yesmaximal, characteristic, complemented
3#13080945C211yesmaximal, characteristic, complemented
4#13080888C211yesmaximal, characteristic, complemented
5#13080802C211yesmaximal, characteristic, complemented
6#13080748C211yesmaximal, characteristic, complemented
7#13080626C211yesmaximal, characteristic, complemented
8#13080614C211yesmaximal, characteristic, complemented
9#13080567C211yesmaximal, characteristic, complemented
10#13080513C211yesmaximal, characteristic, complemented
11#13080370C211yesmaximal, characteristic, complemented
12#13080246C211yesmaximal, characteristic, complemented
13#13080234C211yesmaximal, characteristic, complemented
14#13080205C211yesmaximal, characteristic, complemented
15#13080152C211yesmaximal, characteristic, complemented
16#13080151C211yesmaximal, characteristic, complemented
17#13080111C211yesmaximal, characteristic, complemented
18#13079703C211yesmaximal, characteristic, complemented
19#13079663C211yesmaximal, characteristic, complemented
20#13079479C211yesmaximal, characteristic, complemented
21#13079471C211yesmaximal, characteristic, complemented
22#13079457C211yesmaximal, characteristic, complemented
23#13079382C211yesmaximal, characteristic, complemented
24#13078904C211yesmaximal, characteristic, complemented
25#13078844C211yesmaximal, characteristic, complemented
26#13077932C211yesmaximal, characteristic, complemented
27#13077898C211yesmaximal, characteristic, complemented
28#13077865C211yesmaximal, characteristic, complemented
29#13077830C211yesmaximal, characteristic, complemented
30#13077658C211yesmaximal, characteristic, complemented
31C11×#3282C211yesmaximal, characteristic, complemented
32C2×#41×D11C2211yescharacteristic, complemented
33C2×#67040C2211yescharacteristic, complemented
34C2×C11×#135C2211yescharacteristic, complemented
35C22×C11×SD16C2211yescharacteristic, complemented
36C11×#548C2211yescharacteristic, complemented
37C11×#546C2211yescharacteristic, complemented
38#10623365C2211yescharacteristic, complemented
39#10623365C2211yescharacteristic, complemented
40#10623359C2211yescharacteristic
41C2×#67003C2211yescharacteristic, complemented
42#10623348C2211yescharacteristic
43#10623336C2211yescharacteristic
44D4×C22⋊D11C2211yescharacteristic, complemented
45C2×#66985C2211yescharacteristic, complemented
46C2×#66972C2211yescharacteristic, complemented
47C2×#66971C2211yescharacteristic, complemented
48C2×#66967C2211yescharacteristic
49C2×#66964C2211yescharacteristic
50#10623213C2211yescharacteristic
51#10623208—21no—
52#10623208C2211yescharacteristic, complemented
53#10623207C2211yescharacteristic, complemented
54#10623205—21no—
55#10623205C2211yescharacteristic, complemented
56#10623194—21no—
57#10623190—21no—
58#10623170C2211yescharacteristic, complemented
59#10623164—21no—
60#10623164C2211yescharacteristic, complemented
61#10623160C2211yescharacteristic
62#10623158—21no—
63#10623158C2211yescharacteristic, complemented
64#10623152—21no—
65#10623145C2211yescharacteristic, complemented
66#10623138—21no—
67#10623138—21no—
68#10623138C2211yescharacteristic, complemented
69D11×#121C2211yescharacteristic
70#10623130—21no—
71#10623130C2211yescharacteristic
72#10623126—21no—
73#10623120—21no—
74#10623108C2211yescharacteristic, complemented
75#10623103C2211yescharacteristic, complemented
76#10623094C2211yescharacteristic, complemented
77#10623093C2211yescharacteristic
78#10623084—21no—
79#10623084C2211yescharacteristic, complemented
80#10623082C2211yescharacteristic, complemented
81#10623078—21no—
82#10623078C2211yescharacteristic
83#10623025—21no—
84#10623021—21no—
85C11×#495C2211yescharacteristic, complemented
86C11×#465C2211yescharacteristic, complemented
87C11×#465C2211yescharacteristic, complemented
88C11×#464C2211yescharacteristic, complemented
89C11×#463C2211yescharacteristic, complemented
90C11×#452C2211yescharacteristic, complemented
91C11×#451C2211yescharacteristic, complemented
92C11×#449C2211yescharacteristic
93C11×#447C2211yescharacteristic, complemented
94C4×C11×SD16C2211yescharacteristic, complemented
95C8×D4×C11C2211yescharacteristic, complemented
96#10622851C2211yescharacteristic, complemented
97#10622851C2211yescharacteristic, complemented
98#10622846C2211yescharacteristic, complemented
99#10622840C2211yescharacteristic, complemented
100#10622838C2211yescharacteristic, complemented
101#10622830C2211yescharacteristic, complemented
102#10622802C2211yescharacteristic, complemented
103#10622800C2211yescharacteristic, complemented
104#10622800C2211yescharacteristic, complemented
105#10622799C2211yescharacteristic, complemented
106#10622798C2211yescharacteristic, complemented
107Q16×Dic11C2211yescharacteristic, complemented
108#10622789C2211yescharacteristic, complemented
109#10622787C2211yescharacteristic, complemented
110#10622786C2211yescharacteristic, complemented
111#10622785C2211yescharacteristic
112#10622785C2211yescharacteristic
113#10622785C2211yescharacteristic, complemented
114#10622785C2211yescharacteristic, complemented
115#10622785C2211yescharacteristic, complemented
116#10622785C2211yescharacteristic, complemented
117#10622783C2211yescharacteristic
118#10622783C2211yescharacteristic, complemented
119#10622783C2211yescharacteristic, complemented
120#10622783C2211yescharacteristic, complemented
121#10622782C2211yescharacteristic, complemented
122#10622782C2211yescharacteristic, complemented
123#10622778C2211yescharacteristic, complemented
124#10622777C2211yescharacteristic, complemented
125#10622776C2211yescharacteristic, complemented
126#10622776C2211yescharacteristic, complemented
127#10622772C2211yescharacteristic, complemented
128#10622771C2211yescharacteristic
129#10622770C2211yescharacteristic, complemented
130#10622769C2211yescharacteristic
131#10622769C2211yescharacteristic, complemented
132#10622764C2211yescharacteristic, complemented
133#10622763C2211yescharacteristic, complemented
134#10622728C2211yescharacteristic, complemented
135#10622728C2211yescharacteristic, complemented
136#10622726C2211yescharacteristic, complemented
137#10622726C2211yescharacteristic, complemented
138#10622724C2211yescharacteristic, complemented
139#10622723C2211yescharacteristic, complemented
140C8×C22⋊D11C2211yescharacteristic, complemented
141C2×(C2×D11)⋊C8C2211yescharacteristic, complemented
142#10622671C2211yescharacteristic, complemented
143#10622670C2211yescharacteristic, complemented
144#10622668C2211yescharacteristic, complemented
145#10622667C2211yescharacteristic, complemented
146#10622662C2211yescharacteristic, complemented
147#10622661C2211yescharacteristic, complemented
148#10622660C2211yescharacteristic, complemented
149#10622658C2211yescharacteristic, complemented
150#10622652C2211yescharacteristic, complemented
151#10622651C2211yescharacteristic, complemented
152#10622650C2211yescharacteristic
153#10622648C2211yescharacteristic, complemented
154#10622639C2211yescharacteristic, complemented
155#10622633C2211yescharacteristic, complemented
156#10622631C2211yescharacteristic, complemented
157#10622628C2211yescharacteristic, complemented
158#10622624C2211yescharacteristic, complemented
159#10622479C2211yescharacteristic, complemented
160#10622476C2211yescharacteristic, complemented
161#10622476C2211yescharacteristic, complemented
162#10622470C2211yescharacteristic, complemented
163#10622463C2211yescharacteristic, complemented
164#10622456C2211yescharacteristic, complemented
165#10622453C2211yescharacteristic, complemented
166#10622449C2211yescharacteristic, complemented
167#10622427C2211yescharacteristic, complemented
168#10622425C2211yescharacteristic, complemented
169#10622424C2211yescharacteristic, complemented
170#10622424C2211yescharacteristic, complemented
171#10622422C2211yescharacteristic, complemented
172#10622419C2211yescharacteristic, complemented
173#10622416C2211yescharacteristic, complemented
174#10622416C2211yescharacteristic, complemented
175D11×#103C2211yescharacteristic, complemented
176#10622413C2211yescharacteristic, complemented
177#10622412C2211yescharacteristic, complemented
178#10622402C2211yescharacteristic, complemented
179#10622397C2211yescharacteristic
180#10622395C2211yescharacteristic, complemented
181#10622395C2211yescharacteristic, complemented
182#10622392C2211yescharacteristic, complemented
183#10622388C2211yescharacteristic, complemented
184#10622387C2211yescharacteristic, complemented
185#10622386C2211yescharacteristic, complemented
186#10622386C2211yescharacteristic, complemented
187#10622384C2211yescharacteristic, complemented
188#10622377C2211yescharacteristic, complemented
189#10622375C2211yescharacteristic, complemented
190#10622371C2211yescharacteristic, complemented
191#10622350C2211yescharacteristic, complemented
192#10622350C2211yescharacteristic, complemented
193#10622347C2211yescharacteristic, complemented
194#10622347C2211yescharacteristic, complemented
195#10622343C2211yescharacteristic, complemented
196#10622342C2211yescharacteristic, complemented
197#10622340C2211yescharacteristic, complemented
198#10622339C2211yescharacteristic, complemented
199#10622307C2211yescharacteristic, complemented
200C4×#4314C2211yescharacteristic, complemented
201#10622303C2211yescharacteristic, complemented
202#10622301C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C2×C11×#41C2311yescharacteristic
205C22×Q8×C11C2311yescharacteristic
206C22×D4×C11C2311yescharacteristic
207C22×C22⋊D11—21no—
208#41×D11—42no—
209#41×D11—42no—
210#67040—42no—
211#67040—42no—
212C2×#4343—21no—
213C2×#4343C2311yescharacteristic
214C2×#4343C2311yescharacteristic
215C2×#4343C2311yescharacteristic
216C2×#4343C2311yescharacteristic
217C2×Q8×D11—21no—
218C2×Q8×D11C2311yescharacteristic
219C2×Q8×D11C2311yescharacteristic
220C2×#4341—21no—
221C2×#4341C2311yescharacteristic
222C2×D4×D11—21no—
223C2×D4×D11—21no—
224C2×D4×D11C2311yescharacteristic
225C2×D4×D11C2311yescharacteristic
226C2×#4339—21no—
227C2×#4339—21no—
228C2×#4339—21no—
229C2×#4339—21no—
230C2×#4339C2311yescharacteristic
231C2×#4339C2311yescharacteristic
232C2×#4339C2311yescharacteristic
233C22×C4×D11—21no—
234C22×C4×D11C2311yescharacteristic
235C11×#135—42no—
236C2×C11×Q16C2311yescharacteristic
237C2×C11×Q16C2311yescharacteristic
238C2×C11×SD16—42no—
239C2×C11×SD16C2311yescharacteristic
240C2×C11×SD16C2311yescharacteristic
241C2×C11×SD16C2311yescharacteristic
242C2×C11×SD16C2311yescharacteristic
243C2×C11×SD16C2311yescharacteristic
244C2×C11×D8C2311yescharacteristic
245C2×C11×D8C2311yescharacteristic
246C22×C8×C11C2311yescharacteristic
247C22×C8×C11C2311yescharacteristic
248C11×#124—21no—
249C11×#124C2311yescharacteristic
250C11×#124C2311yescharacteristic
251C11×#123—21no—
252C11×C22⋊Q8—21no—
253C11×C22⋊Q8C2311yescharacteristic
254C11×C22⋊Q8C2311yescharacteristic
255C11×#121—21no—
256C11×#121—21no—
257C11×#121C2311yescharacteristic
258C11×#121C2311yescharacteristic
259C11×#120—21no—
260C4×Q8×C11C2311yescharacteristic
261C4×D4×C11—21no—
262C4×D4×C11C2311yescharacteristic
263C4×D4×C11C2311yescharacteristic
264C2×C11×C22⋊C4—21no—
265#67006—21no—
266#67006—21no—
267#67006—21no—
268#67003—42no—
269#67000—21no—
270#67000C2311yescharacteristic
271#66999—21no—
272#66999C2311yescharacteristic
273#66999C2311yescharacteristic
274#66999C2311yescharacteristic
275Q8×Dic11C2311yescharacteristic
276Q8×Dic11C2311yescharacteristic
277C2×#4326C2311yescharacteristic
278C2×#4325C2311yescharacteristic
279C2×#4325C2311yescharacteristic
280C2×#4325C2311yescharacteristic
281C2×#4325C2311yescharacteristic
282#66993—21no—
283#66993—21no—
284#66993—21no—
285#66993—21no—
286#66993—21no—
287#66993—21no—
288#66993C2311yescharacteristic
289#66993C2311yescharacteristic
290#66992—21no—
291#66992—21no—
292#66992—21no—
293#66992D411yescharacteristic
294#66991—21no—
295#66991—21no—
296#66991—21no—
297#66991—21no—
298#66991C2311yescharacteristic
299#66991C2311yescharacteristic
300#66991C2311yescharacteristic
301#66991C2311yescharacteristic
302#66991C2311yescharacteristic
303#66991C2311yescharacteristic
304#66990—21no—
305#66990—21no—
306#66990—21no—
307#66990D411yescharacteristic
308#66989—21no—
309#66988—21no—
310#66988—21no—
311D4×Dic11C2311yescharacteristic
312C2×#4324C2311yescharacteristic
313C2×#4324C2311yescharacteristic
314#66985—42no—
315C2×#4323C2311yescharacteristic
316C2×#4323C2311yescharacteristic
317C2×#4323C2311yescharacteristic
318C2×#4323C2311yescharacteristic
319C2×#4323C2311yescharacteristic
320#66983—21no—
321#66983—21no—
322#66983—21no—
323#66983—21no—
324#66983C2311yescharacteristic
325#66983C2311yescharacteristic
326#66983C2311yescharacteristic
327#66983C2311yescharacteristic
328#66982—21no—
329C4×C22⋊D11—21no—
330C4×C22⋊D11—21no—
331C4×C22⋊D11—21no—
332C4×C22⋊D11—21no—
333C4×C22⋊D11—21no—
334C4×C22⋊D11C2311yescharacteristic
335C4×C22⋊D11C2311yescharacteristic
336#66979C2311yescharacteristic
337#66979C2311yescharacteristic
338#66977—21no—
339C2×#4318C2311yescharacteristic
340C22×C11⋊C8C2311yescharacteristic
341#66972—42no—
342#66971—42no—
343#66967—42no—
344#66964—42no—
345C2×D88C2311yescharacteristic
346C2×D88C2311yescharacteristic
347C2×#4314C2311yescharacteristic
348C2×#4313C2311yescharacteristic
349C2×#4313C2311yescharacteristic
350C2×#4313C2311yescharacteristic
351C2×C8×D11C2311yescharacteristic
352#66949—21no—
353#66949—21no—
354#66949D411yescharacteristic
355#66948—21no—
356#66948—21no—
357#66948—21no—
358#66948C2311yescharacteristic
359#66948C2311yescharacteristic
360#66948C2311yescharacteristic
361#66947—21no—
362#66947D411yescharacteristic
363#66946—21no—
364#66946—21no—
365#66946—21no—
366#66945—21no—
367#66945—21no—
368#66945—21no—
369#66945C2311yescharacteristic
370C4⋊C4×D11C2311yescharacteristic
371C4⋊C4×D11C2311yescharacteristic
372#66943C2311yescharacteristic
373#66942—21no—
374#66940—21no—
375#66940C2311yescharacteristic
376#66939—21no—
377#66938—21no—
378#66938—21no—
379#66938—21no—
380#66938—21no—
381#66938—21no—
382#66938—21no—
383#66937—21no—
384#66937—21no—
385#66937—21no—
386#66937—21no—
387#66937—21no—
388#66937—21no—
389#66937—21no—
390#66937—21no—
391#66937—21no—
392#66937—21no—
393#66937—21no—
394#66937—21no—
395#66937D411yescharacteristic
396#66936—21no—
397#66936—21no—
398#66936—21no—
399#66936—21no—
400#66936—21no—
401#66936D411yescharacteristic
402#66935—21no—
403#66935—21no—
404#66935—21no—
405#66935—21no—
406#66935—21no—
407#66935D411yescharacteristic
408(C22⋊D11)⋊C4—21no—
409(C22⋊D11)⋊C4—21no—
410(C22⋊D11)⋊C4—21no—
411(C22⋊D11)⋊C4—21no—
412C22⋊C4×D11—21no—
413C22⋊C4×D11—21no—
414#66932—21no—
415#66932—21no—
416#66932—21no—
417#66931—21no—
418#66931—21no—
419#66931D411yescharacteristic
420#66927—21no—
421#66927C2311yescharacteristic
422C4×D44—21no—
423C4×D44C2311yescharacteristic
424C4×D44C2311yescharacteristic
425#66925—21no—
426#66925C2311yescharacteristic
427#66922C2311yescharacteristic
428C4×Dic22—21no—
429C4×Dic22C2311yescharacteristic
430C11×#106C2311yescharacteristic
431C11×C4⋊C8C2311yescharacteristic
432C11×#103C2311yescharacteristic
433C11×#103C2311yescharacteristic
434C11×#103C2311yescharacteristic
435C11×#102C2311yescharacteristic
436C11×#102C2311yescharacteristic
437C11×#102C2311yescharacteristic
438C11×C22⋊C8C2311yescharacteristic
439C11×C22⋊C8C2311yescharacteristic
440C4×C8×C11C2311yescharacteristic
441#66899C2311yescharacteristic
442#66899C2311yescharacteristic
443#66899C2311yescharacteristic
444#66899C2311yescharacteristic
445#66899C2311yescharacteristic
446#66899C2311yescharacteristic
447#66899C2311yescharacteristic
448#66896C2311yescharacteristic
449#66896C2311yescharacteristic
450#66896C2311yescharacteristic
451#66896C2311yescharacteristic
452#66896C2311yescharacteristic
453C22⋊(C11⋊C8)C2311yescharacteristic
454C22⋊(C11⋊C8)C2311yescharacteristic
455#66885C2311yescharacteristic
456#66885C2311yescharacteristic
457#66885C2311yescharacteristic
458#66885C2311yescharacteristic
459#66885C2311yescharacteristic
460#66885C2311yescharacteristic
461#66885C2311yescharacteristic
462(C2×D11)⋊C8C2311yescharacteristic
463(C2×D11)⋊C8C2311yescharacteristic
464(C2×D11)⋊C8C2311yescharacteristic
465(C2×D11)⋊C8C2311yescharacteristic
466(C2×D11)⋊C8C2311yescharacteristic
467(C2×D11)⋊C8C2311yescharacteristic
468(C2×D11)⋊C8C2311yescharacteristic
469(C2×D11)⋊C8C2311yescharacteristic
470#66882C2311yescharacteristic
471#66882C2311yescharacteristic
472#66881C2311yescharacteristic
473#66880C2311yescharacteristic
474#66880C2311yescharacteristic
475#66880C2311yescharacteristic
476#66879C2311yescharacteristic
477Dic11⋊C8C2311yescharacteristic
478Dic11⋊C8C2311yescharacteristic
479C8×Dic11C2311yescharacteristic
480#66874C2311yescharacteristic
481#66873C2311yescharacteristic
482#66873C2311yescharacteristic
483#66873C2311yescharacteristic
484#66872C2311yescharacteristic
485#66872C2311yescharacteristic
486#66871C2311yescharacteristic
487#66871C2311yescharacteristic
488C4⋊(C11⋊C8)C2311yescharacteristic
489#66867C2311yescharacteristic
490#61616—111nomaximal, Sylow
491C24×C11—21no—
492C23×D11—21no—
493C23×D11—21no—
494C23×D11C2×D411yescharacteristic
495C11×#41—22no—
496C11×#41—41no—
497C11×#41—41no—
498C11×#41—41no—
499C2×Q8×C11—21no—
500C2×Q8×C11—22no—
501C2×Q8×C11—41no—
502C2×Q8×C11C2411yescharacteristic
503C2×Q8×C11C2411yescharacteristic
504C2×Q8×C11C2411yescharacteristic
505C2×D4×C11—21no—
506C2×D4×C11—21no—
507C2×D4×C11—21no—
508C2×D4×C11—21no—
509C2×D4×C11—21no—
510C2×D4×C11—41no—
511C2×D4×C11—41no—
512C2×D4×C11C2×D411yescharacteristic
513C2×D4×C11C2411yescharacteristic
514C2×D4×C11C2411yescharacteristic
515C2×D4×C11C2411yescharacteristic
516C22×C4×C11—21no—
517C22×C4×C11—21no—
518C22×C4×C11—21no—
519C22×C4×C11—21no—
520C22×C4×C11C2411yescharacteristic
521C22×C4×C11C2411yescharacteristic
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—21no—
536C2×C22⋊D11—21no—
537C2×C22⋊D11—21no—
538C2×C22⋊D11—21no—
539C2×C22⋊D11—21no—
540C2×C22⋊D11—21no—
541C2×C22⋊D11—82no—
542C2×C22⋊D11C2×D411yescharacteristic
543C2×C22⋊D11C2×D411yescharacteristic
544C2×C22⋊D11C2×D411yescharacteristic
545C2×C22⋊D11C2×D411yescharacteristic
546C22×Dic11—21no—
547C22×Dic11—21no—
548C22×Dic11C2×D411yescharacteristic
549#4343—22no—
550#4343—22no—
551#4343—41no—
552#4343—41no—
553#4343—41no—
554#4343—41no—
555#4343—41no—
556#4343—41no—
557#4343—44no—
558Q8×D11—22no—
559Q8×D11—22no—
560Q8×D11—22no—
561Q8×D11—41no—
562Q8×D11—44no—
563#4341—22no—
564#4341—41no—
565#4341—44no—
566D4×D11—41no—
567D4×D11—41no—
568D4×D11—41no—
569D4×D11—41no—
570D4×D11—44no—
571D4×D11—82no—
572#4339—22no—
573#4339—22no—
574#4339—41no—
575#4339—41no—
576#4339—41no—
577#4339—41no—
578#4339—44no—
579#4339—44no—
580#4339—44no—
581#4339—82no—
582C2×D44—21no—
583C2×D44—21no—
584C2×D44—21no—
585C2×D44—21no—
586C2×D44—21no—
587C2×D44—21no—
588C2×D44—21no—
589C2×D44—21no—
590C2×D44—21no—
591C2×D44C2×D411yescharacteristic
592C2×D44C2×D411yescharacteristic
593C2×D44C2411yescharacteristic
594C2×D44C2411yescharacteristic
595C2×D44C2411yescharacteristic
596C2×C4×D11—21no—
597C2×C4×D11—21no—
598C2×C4×D11—21no—
599C2×C4×D11—21no—
600C2×C4×D11—21no—
601C2×C4×D11—21no—
602C2×C4×D11—21no—
603C2×C4×D11—21no—
604C2×C4×D11—21no—
605C2×C4×D11—21no—
606C2×C4×D11—21no—
607C2×C4×D11—41no—
608C2×C4×D11—41no—
609C2×C4×D11—44no—
610C2×C4×D11C2×D411yescharacteristic
611C2×C4×D11C2×D411yescharacteristic
612C2×C4×D11C2411yescharacteristic
613C2×C4×D11C2411yescharacteristic
614C2×C4×D11C2411yescharacteristic
615C2×Dic22—21no—
616C2×Dic22—21no—
617C2×Dic22—21no—
618C2×Dic22C2×D411yescharacteristic
619C2×Dic22C2411yescharacteristic
620C11×Q16—22no—
621C11×Q16—41no—
622C11×SD16—22no—
623C11×SD16—22no—
624C11×SD16—41no—
625C11×SD16—41no—
626C11×SD16—41no—
627C11×D8—41no—
628C11×D8—41no—
629C2×C8×C11—41no—
630C2×C8×C11—41no—
631C2×C8×C11C2411yescharacteristic
632C2×C8×C11C2411yescharacteristic
633C2×C8×C11C2411yescharacteristic
634C2×C8×C11C2411yescharacteristic
635C11×C4⋊C4—21no—
636C11×C4⋊C4—21no—
637C11×C4⋊C4—21no—
638C11×C4⋊C4C2×D411yescharacteristic
639C11×C4⋊C4C2411yescharacteristic
640C11×C4⋊C4C2411yescharacteristic
641C11×C22⋊C4—21no—
642C11×C22⋊C4—21no—
643C11×C22⋊C4—21no—
644C11×C22⋊C4—21no—
645C11×C22⋊C4—21no—
646C11×C22⋊C4—21no—
647C11×C22⋊C4—21no—
648C11×C22⋊C4—21no—
649C11×C22⋊C4—21no—
650C11×C22⋊C4C2×D411yescharacteristic
651C11×C22⋊C4C2×D411yescharacteristic
652C42×C11—21no—
653C42×C11C2411yescharacteristic
654C22⋊Dic11—21no—
655C22⋊Dic11—21no—
656C22⋊Dic11—21no—
657C22⋊Dic11—21no—
658C22⋊Dic11—21no—
659C22⋊Dic11—21no—
660C22⋊Dic11—21no—
661C22⋊Dic11—21no—
662C22⋊Dic11—21no—
663C22⋊Dic11C2×D411yescharacteristic
664C22⋊Dic11C2×D411yescharacteristic
665#4326—22no—
666#4325—22no—
667#4325—41no—
668#4325—41no—
669#4325—41no—
670#4324—22no—
671#4324—22no—
672#4323—41no—
673#4323—41no—
674#4323—41no—
675#4323—41no—
676#4323—41no—
677(C2×D11)⋊C4—21no—
678(C2×D11)⋊C4—21no—
679(C2×D11)⋊C4—21no—
680(C2×D11)⋊C4—21no—
681(C2×D11)⋊C4—21no—
682(C2×D11)⋊C4—21no—
683(C2×D11)⋊C4—21no—
684(C2×D11)⋊C4—21no—
685(C2×D11)⋊C4—21no—
686(C2×D11)⋊C4—21no—
687(C2×D11)⋊C4—21no—
688(C2×D11)⋊C4—21no—
689(C2×D11)⋊C4—21no—
690(C2×D11)⋊C4—21no—
691(C2×D11)⋊C4C2×D411yescharacteristic
692(C2×D11)⋊C4C2×D411yescharacteristic
693(C2×D11)⋊C4C2×D411yescharacteristic
694(C2×D11)⋊C4C2×D411yescharacteristic
695(C2×D11)⋊C4C2×D411yescharacteristic
696(C2×D11)⋊C4C2×D411yescharacteristic
697C4⋊Dic11—21no—
698C4⋊Dic11—21no—
699C4⋊Dic11—21no—
700C4⋊Dic11—21no—
701C4⋊Dic11C2×D411yescharacteristic
702C4⋊Dic11C2411yescharacteristic
703C4⋊Dic11C2411yescharacteristic
704C4⋊Dic11C2411yescharacteristic
705C4⋊Dic11C2411yescharacteristic
706Dic11⋊C4—21no—
707Dic11⋊C4—21no—
708Dic11⋊C4—21no—
709Dic11⋊C4—21no—
710Dic11⋊C4—21no—
711Dic11⋊C4—21no—
712Dic11⋊C4—21no—
713Dic11⋊C4—21no—
714Dic11⋊C4C2×D411yescharacteristic
715Dic11⋊C4C2×D411yescharacteristic
716Dic11⋊C4C2×D411yescharacteristic
717Dic11⋊C4C2×D411yescharacteristic
718C4×Dic11—21no—
719C4×Dic11—21no—
720C4×Dic11—21no—
721C4×Dic11—21no—
722C4×Dic11—21no—
723C4×Dic11—21no—
724C4×Dic11—21no—
725C4×Dic11C2411yescharacteristic
726#4318—41no—
727C2×C11⋊C8—41no—
728C2×C11⋊C8C2411yescharacteristic
729C2×C11⋊C8C2411yescharacteristic
730C2×C11⋊C8C2411yescharacteristic
731C2×C11⋊C8C2411yescharacteristic
732D88—41no—
733D88—41no—
734#4314—22no—
735#4313—41no—
736#4313—41no—
737#4313—41no—
738C8×D11—41no—
739#3542—111no—
740#3487—111no—
741#3332—111no—
742#3327—111no—
743#3321—111no—
744#3317—111no—
745#3309—111no—
746#3308—111no—
747#3305—111no—
748#3301—111no—
749#3287—111no—
750#3282D1111yescharacteristic, complemented
751#3275—111no—
752#3274—111no—
753#3271—111no—
754#3268—111no—
755#3268—111no—
756#3265—111no—
757#3224—111no—
758#3220—111no—
759#3199—111no—
760#3198—111no—
761#3197—111no—
762#3188—111no—
763#3126—111no—
764#3121—111no—
765#3013—111no—
766#3010—111no—
767#3006—111no—
768#3002—111no—
769#2976—111no—
770C23×C11—21no—
771C23×C11—21no—
772C23×C11—21no—
773C23×C11—81no—
774C23×C11—81no—
775C23×C11—81no—
776C23×C11C22×D411yescharacteristic
777C23×C11C22×D411yescharacteristic
778C22×D11—21no—
779C22×D11—21no—
780C22×D11—21no—
781C22×D11—41no—
782C22×D11—41no—
783C22×D11—41no—
784C22×D11—42no—
785C22×D11—42no—
786C22×D11—81no—
787C22×D11—81no—
788C22×D11—81no—
789C22×D11—81no—
790C22×D11C22×D411yescharacteristic
791C22×D11C22×D411yescharacteristic
792C22×D11C22×D411yescharacteristic
793Q8×C11—21no—
794Q8×C11—21no—
795Q8×C11—21no—
796Q8×C11—21no—
797Q8×C11—21no—
798Q8×C11—42no—
799Q8×C11H(5,𝔽2)12yes—
800D4×C11—21no—
801D4×C11—21no—
802D4×C11—21no—
803D4×C11—21no—
804D4×C11—21no—
805D4×C11—21no—
806D4×C11—41no—
807D4×C11—42no—
808D4×C11—81no—
809D4×C11—81no—
810D4×C11—81no—
811D4×C11—81no—
812C2×C4×C11—21no—
813C2×C4×C11—21no—
814C2×C4×C11—21no—
815C2×C4×C11—21no—
816C2×C4×C11—21no—
817C2×C4×C11—21no—
818C2×C4×C11—21no—
819C2×C4×C11—21no—
820C2×C4×C11—21no—
821C2×C4×C11—42no—
822C2×C4×C11—42no—
823C2×C4×C11—81no—
824C2×C4×C11—81no—
825C2×C4×C11C22×D411yescharacteristic
826C2×C4×C11C22×D411yescharacteristic
827C2×C4×C11C22×D411yescharacteristic
828C2×C4×C11C22×D411yescharacteristic
829C2×C4×C11C2511yescharacteristic
830C22⋊D11—41no—
831C22⋊D11—41no—
832C22⋊D11—41no—
833C22⋊D11—41no—
834C22⋊D11—42no—
835C22⋊D11—42no—
836C22⋊D11—42no—
837C22⋊D11—42no—
838C22⋊D11—42no—
839C22⋊D11—81no—
840C22⋊D11—81no—
841C22⋊D11—81no—
842C22⋊D11—81no—
843C22⋊D11—81no—
844C22⋊D11—81no—
845C22⋊D11—81no—
846C22⋊D11—81no—
847C22⋊D11—81no—
848C22⋊D11—81no—
849C22⋊D11—81no—
850C22⋊D11—81no—
851C22⋊D11—81no—
852C22⋊D11—81no—
853C2×Dic11—21no—
854C2×Dic11—21no—
855C2×Dic11—21no—
856C2×Dic11—21no—
857C2×Dic11—21no—
858C2×Dic11—41no—
859C2×Dic11—42no—
860C2×Dic11—81no—
861C2×Dic11C22×D411yescharacteristic
862C2×Dic11C22×D411yescharacteristic
863C2×Dic11C22×D411yescharacteristic
864C2×Dic11C22×D411yescharacteristic
865C2×Dic11C22×D411yescharacteristic
866D44—21no—
867D44—21no—
868D44—21no—
869D44—21no—
870D44—21no—
871D44—21no—
872D44—41no—
873D44—41no—
874D44—42no—
875D44—42no—
876D44—42no—
877D44—81no—
878D44—81no—
879D44—81no—
880D44—81no—
881D44—81no—
882D44—81no—
883C4×D11—24no—
884C4×D11—21no—
885C4×D11—21no—
886C4×D11—21no—
887C4×D11—21no—
888C4×D11—21no—
889C4×D11—21no—
890C4×D11—41no—
891C4×D11—41no—
892C4×D11—42no—
893C4×D11—42no—
894C4×D11—42no—
895C4×D11—42no—
896C4×D11—42no—
897C4×D11—42no—
898C4×D11—42no—
899C4×D11—81no—
900C4×D11—81no—
901C4×D11—81no—
902Dic22—24no—
903Dic22—21no—
904Dic22—41no—
905Dic22—42no—
906Dic22—81no—
907Dic22H(5,𝔽2)12yes—
908C8×C11—21no—
909C8×C11—21no—
910C8×C11—21no—
911C8×C11—21no—
912C11⋊C8—21no—
913C11⋊C8—21no—
914C11⋊C8—21no—
915C11⋊C8—21no—
916C2×2−1+4—111no—
917C22×#41—111no—
918C2×#137—111no—
919C2×AGL(1,ℤ/8)—111no—
920C2×AGL(1,ℤ/8)—111no—
921C2×AGL(1,ℤ/8)—111no—
922C2×#135—111no—
923C2×#135—111no—
924C2×#135C2×D1111yescharacteristic, complemented
925C22×SD16C2×D1111yescharacteristic, complemented
926#562—221no—
927#560—221no—
928#555—111no—
929#553—111no—
930#552—111no—
931#551—221no—
932#550—111no—
933#550—111no—
934#550—111no—
935#550—111no—
936#550—111no—
937#550—221no—
938#550—221no—
939#548—111no—
940#548—111no—
941#548—111no—
942#548—221no—
943#548—221no—
944#548C2×D1111yescharacteristic, complemented
945#547—111no—
946#546—111no—
947#546—221no—
948#546C2×D1111yescharacteristic, complemented
949D42—111no—
950#542—111no—
951#540—111no—
952#540—221no—
953#538—221no—
954#537—111no—
955#535—111no—
956#535—111no—
957#535—111no—
958#535—221no—
959#535—221no—
960#535—221no—
961#534—221no—
962#525—111no—
963#525—111no—
964#525—111no—
965#525—221no—
966#525—221no—
967C2×#121—111no—
968#519—111no—
969#496—111no—
970#496—111no—
971#495C2×D1111yescharacteristic, complemented
972#493—111no—
973#490—111no—
974#489—111no—
975#488—111no—
976#486—111no—
977#485—111no—
978#485—111no—
979#484—111no—
980#482—111no—
981#482—111no—
982#482—111no—
983#482—111no—
984#482—111no—
985#482—111no—
986#481—111no—
987#481—111no—
988#480—111no—
989#479—111no—
990#479—111no—
991#477—111no—
992#475—111no—
993#470—111no—
994#469—111no—
995#469—111no—
996#469—111no—
997#469—111no—
998#468—111no—
999#468—111no—
1000#468—111no—
1001#466—111no—
1002#466—111no—
1003#466—111no—
1004#466—111no—
1005#466—111no—
1006#465—111no—
1007#465C2×D1111yescharacteristic, complemented
1008#465C2×D1111yescharacteristic, complemented
1009#464—111no—
1010#464—111no—
1011#464C2×D1111yescharacteristic, complemented
1012#463—111no—
1013#463—111no—
1014#463C2×D1111yescharacteristic, complemented
1015#460—111no—
1016#460—111no—
1017#460—111no—
1018#459—111no—
1019#459—111no—
1020#459—111no—
1021#452—111no—
1022#452—111no—
1023#452—111no—
1024#452—111no—
1025#452C2×D1111yescharacteristic, complemented
1026#451—111no—
1027#451C2×D1111yescharacteristic, complemented
1028#450—111no—
1029#450—111no—
1030#449—111no—
1031#449—111no—
1032#449—111no—
1033#449—111no—
1034#449—111no—
1035#449—111no—
1036#449—111no—
1037#449—111no—
1038#449—111no—
1039#449—111no—
1040#449—111no—
1041#449—111no—
1042#449—111no—
1043#449—111no—
1044#449C2×D1111yescharacteristic
1045#448—111no—
1046#448—111no—
1047#448—111no—
1048#448—111no—
1049#448—111no—
1050#448—111no—
1051#447—111no—
1052#447—111no—
1053#447—111no—
1054#447—111no—
1055#447—111no—
1056#447C2×D1111yescharacteristic, complemented
1057#441—111no—
1058#440—111no—
1059#440—111no—
1060#440—111no—
1061C4×Q16—111no—
1062C4×SD16—111no—
1063C4×SD16—111no—
1064C4×SD16C2×D1111yescharacteristic, complemented
1065#436—111no—
1066#436—111no—
1067#435—111no—
1068#435—111no—
1069#435—111no—
1070#435—111no—
1071C8×D4—111no—
1072C8×D4C2×D1111yescharacteristic, complemented
1073#433—111no—
1074#433—111no—
1075#419—111no—
1076#417—111no—
1077#417—111no—
1078#417—111no—
1079#416—111no—
1080#416—111no—
1081#416—111no—
1082C2×#103—111no—
1083#408—111no—
1084#408—111no—
1085#407—111no—
1086C2×C22⋊C8—111no—
1087C22×C11—21no—
1088C22×C11—21no—
1089C22×C11—21no—
1090C22×C11—21no—
1091C22×C11—21no—
1092C22×C11—21no—
1093C22×C11—41no—
1094C22×C11—41no—
1095C22×C11—41no—
1096C22×C11—41no—
1097C22×C11—41no—
1098C22×C11—41no—
1099C22×C11—41no—
1100C22×C11—41no—
1101C22×C11—41no—
1102C22×C11—162no—
1103C22×C11C23×D411yescharacteristic
1104C2×D11—21no—
1105C2×D11—21no—
1106C2×D11—21no—
1107C2×D11—21no—
1108C2×D11—21no—
1109C2×D11—21no—
1110C2×D11—21no—
1111C2×D11—21no—
1112C2×D11—21no—
1113C2×D11—41no—
1114C2×D11—41no—
1115C2×D11—41no—
1116C2×D11—41no—
1117C2×D11—41no—
1118C2×D11—41no—
1119C2×D11—41no—
1120C2×D11—41no—
1121C2×D11—41no—
1122C2×D11—82no—
1123C2×D11—84no—
1124C2×D11—162no—
1125C4×C11—21no—
1126C4×C11—21no—
1127C4×C11—21no—
1128C4×C11—21no—
1129C4×C11—22no—
1130C4×C11—41no—
1131C4×C11—41no—
1132C4×C11—41no—
1133C4×C11—41no—
1134C4×C11C2×H(5,𝔽2)11yescharacteristic
1135C4×C11C2×H(5,𝔽2)11yescharacteristic
1136Dic11—21no—
1137Dic11—21no—
1138Dic11—21no—
1139Dic11—22no—
1140Dic11—21no—
1141Dic11—21no—
1142Dic11—41no—
1143Dic11—41no—
1144Dic11—41no—
1145Dic11—41no—
11462−1+4—442no—
11472−1+4—442no—
1148C2×#41—111no—
1149C2×#41—111no—
1150C2×#41—111no—
1151C2×#41—111no—
1152C2×#41—111no—
1153C2×#41—111no—
1154C2×#41—111no—
1155C2×#41—111no—
1156C2×#41—221no—
1157C2×#41—221no—
1158C2×#41—221no—
1159C2×#41—221no—
1160C2×#41—221no—
1161C2×#41—221no—
1162C2×#41—442no—
1163C2×#41—442no—
1164C2×#41C22×D1111yescharacteristic
1165C2×#41C22×D1111yescharacteristic
1166C22×Q8—111no—
1167C22×Q8—111no—
1168C22×Q8—221no—
1169C22×Q8C22×D1111yescharacteristic
1170C22×D4—111no—
1171C22×D4—111no—
1172C22×D4—221no—
1173C22×D4—221no—
1174C22×D4—221no—
1175C22×D4C22×D1111yescharacteristic
1176C23×C4—111no—
1177C23×C4—221no—
1178#137—442no—
1179AGL(1,ℤ/8)—442no—
1180AGL(1,ℤ/8)—442no—
1181AGL(1,ℤ/8)—442no—
1182#135—42no—
1183#135—442no—
1184#135—442no—
1185C2×Q16—111no—
1186C2×Q16C22×D1111yescharacteristic
1187C2×Q16C22×D1111yescharacteristic
1188C2×SD16—42no—
1189C2×SD16—111no—
1190C2×SD16—111no—
1191C2×SD16—111no—
1192C2×SD16—111no—
1193C2×SD16—111no—
1194C2×SD16—111no—
1195C2×SD16—111no—
1196C2×SD16C22×D1111yescharacteristic
1197C2×SD16C22×D1111yescharacteristic
1198C2×SD16C22×D1111yescharacteristic
1199C2×SD16C22×D1111yescharacteristic
1200C2×SD16C22×D1111yescharacteristic
1201C2×D8—111no—
1202C2×D8—111no—
1203C2×D8—111no—
1204C2×D8—111no—
1205C2×D8—111no—
1206C2×D8—111no—
1207C2×D8—111no—
1208C2×D8C22×D1111yescharacteristic
1209C2×D8C22×D1111yescharacteristic
1210C2×M16—111no—
1211C2×M16—111no—
1212C2×M16—111no—
1213C2×M16—111no—
1214C22×C8—111no—
1215C22×C8—111no—
1216C22×C8C22×D1111yescharacteristic
1217C22×C8C22×D1111yescharacteristic
1218C4⋊Q8—111no—
1219#127—111no—
1220#127—111no—
1221#127—111no—
1222#127—221no—
1223#127—221no—
1224#127—221no—
1225#127—221no—
1226#127—221no—
1227#127—221no—
1228#127—221no—
1229#126—221no—
1230#126—221no—
1231#126—221no—
1232#125—111no—
1233#125—221no—
1234#124—21no—
1235#124—111no—
1236#124—221no—
1237#124—221no—
1238#124—221no—
1239#124—221no—
1240#124—221no—
1241#124—221no—
1242#124—221no—
1243#124—221no—
1244#124C22×D1111yescharacteristic
1245#124C22×D1111yescharacteristic
1246#123—21no—
1247#123—111no—
1248#123—111no—
1249#123—221no—
1250#123—221no—
1251#123—221no—
1252#123—221no—
1253#123—221no—
1254#123—221no—
1255#123—221no—
1256#123—221no—
1257#123—221no—
1258#123—221no—
1259C22⋊Q8—21no—
1260C22⋊Q8—111no—
1261C22⋊Q8—111no—
1262C22⋊Q8—111no—
1263C22⋊Q8—111no—
1264C22⋊Q8—111no—
1265C22⋊Q8—221no—
1266C22⋊Q8—221no—
1267C22⋊Q8—221no—
1268C22⋊Q8—221no—
1269C22⋊Q8—221no—
1270C22⋊Q8—221no—
1271C22⋊Q8C22×D1111yescharacteristic
1272C22⋊Q8C22×D1111yescharacteristic
1273#121—21no—
1274#121—21no—
1275#121—111no—
1276#121—111no—
1277#121—111no—
1278#121—111no—
1279#121—111no—
1280#121—111no—
1281#121—111no—
1282#121—111no—
1283#121—111no—
1284#121—111no—
1285#121—111no—
1286#121—111no—
1287#121—111no—
1288#121—111no—
1289#121—111no—
1290#121—221no—
1291#121—221no—
1292#121—221no—
1293#121—221no—
1294#121—221no—
1295#121—221no—
1296#121—221no—
1297#121—221no—
1298#121—221no—
1299#121—221no—
1300#121—221no—
1301#121—221no—
1302#121—221no—
1303#121—221no—
1304#121—221no—
1305#121—221no—
1306#121—221no—
1307#121—221no—
1308#121—221no—
1309#121—221no—
1310#121—221no—
1311#121—221no—
1312#121—221no—
1313#121—221no—
1314#121—221no—
1315#121—221no—
1316#121C22×D1111yescharacteristic
1317#121C22×D1111yescharacteristic
1318#120—21no—
1319#120—111no—
1320#120—111no—
1321#120—221no—
1322#120—221no—
1323#120—221no—
1324#120—221no—
1325#120—221no—
1326#120—221no—
1327#120—221no—
1328#120—221no—
1329#120—221no—
1330#120—221no—
1331#120—221no—
1332C4×Q8—111no—
1333C4×Q8—111no—
1334C4×Q8—111no—
1335C4×Q8—111no—
1336C4×Q8—221no—
1337C4×Q8—221no—
1338C4×Q8C22×D1111yescharacteristic
1339C4×D4—21no—
1340C4×D4—111no—
1341C4×D4—111no—
1342C4×D4—111no—
1343C4×D4—111no—
1344C4×D4—111no—
1345C4×D4—221no—
1346C4×D4—221no—
1347C4×D4—221no—
1348C4×D4—221no—
1349C4×D4—221no—
1350C4×D4—221no—
1351C4×D4—221no—
1352C4×D4—221no—
1353C4×D4—221no—
1354C4×D4—221no—
1355C4×D4—221no—
1356C4×D4—221no—
1357C4×D4—221no—
1358C4×D4C22×D1111yescharacteristic
1359C4×D4C22×D1111yescharacteristic
1360#117—111no—
1361#117—111no—
1362#117—111no—
1363#117—111no—
1364#117—221no—
1365#117—221no—
1366#117—221no—
1367#117—221no—
1368C2×C4⋊C4—111no—
1369C2×C4⋊C4—111no—
1370C2×C22⋊C4—21no—
1371C2×C22⋊C4—221no—
1372C2×C22⋊C4—221no—
1373#107—111no—
1374#107—111no—
1375#107—111no—
1376#107—111no—
1377#106—111no—
1378#106—111no—
1379#106—111no—
1380#106C22×D1111yescharacteristic
1381C4⋊C8—111no—
1382C4⋊C8—111no—
1383C4⋊C8—111no—
1384C4⋊C8C22×D1111yescharacteristic
1385#103—111no—
1386#103—111no—
1387#103—111no—
1388#103—111no—
1389#103—111no—
1390#103—111no—
1391#103—111no—
1392#103—111no—
1393#103—111no—
1394#103—111no—
1395#103—111no—
1396#103C22×D1111yescharacteristic
1397#103C22×D1111yescharacteristic
1398#103C22×D1111yescharacteristic
1399#102—111no—
1400#102—111no—
1401#102—111no—
1402#102—111no—
1403#102—111no—
1404#102—111no—
1405#102—111no—
1406#102—111no—
1407#102—111no—
1408#102—111no—
1409#102—111no—
1410#102—111no—
1411#102—111no—
1412#102—111no—
1413#102—111no—
1414#102C22×D1111yescharacteristic
1415#102C22×D1111yescharacteristic
1416#102C22×D1111yescharacteristic
1417C22⋊C8—111no—
1418C22⋊C8—111no—
1419C22⋊C8—111no—
1420C22⋊C8—111no—
1421C22⋊C8—111no—
1422C22⋊C8—111no—
1423C22⋊C8—111no—
1424C22⋊C8—111no—
1425C22⋊C8—111no—
1426C22⋊C8—111no—
1427C22⋊C8C22×D1111yescharacteristic
1428C22⋊C8C22×D1111yescharacteristic
1429#97—111no—
1430#97—111no—
1431C4×C8—111no—
1432C4×C8C22×D1111yescharacteristic
1433C2×C11—41no—
1434C2×C11—41no—
1435C2×C11—81no—
1436C2×C11—81no—
1437C2×C11—81no—
1438C2×C11#348411yescharacteristic
1439C2×C11#358411yescharacteristic
1440C2×C11#358511yescharacteristic
1441D11—41no—
1442D11—41no—
1443D11—41no—
1444D11—81no—
1445D11—81no—
1446D11—81no—
1447C24—21no—
1448C24—111no—
1449C24—221no—
1450C24—221no—
1451#41—22no—
1452#41—41no—
1453#41—41no—
1454#41—41no—
1455#41—222no—
1456#41—222no—
1457#41—222no—
1458#41—222no—
1459#41—222no—
1460#41—441no—
1461#41—441no—
1462#41—441no—
1463#41—441no—
1464#41—444no—
1465#41—444no—
1466#41—444no—
1467#41—441no—
1468#41—441no—
1469#41—441no—
1470#41—441no—
1471#41—441no—
1472#41—444no—
1473#41—441no—
1474#41—441no—
1475#41—444no—
1476#41—882no—
1477C2×Q8—21no—
1478C2×Q8—22no—
1479C2×Q8—41no—
1480C2×Q8—111no—
1481C2×Q8—111no—
1482C2×Q8—221no—
1483C2×Q8—221no—
1484C2×Q8—222no—
1485C2×Q8—222no—
1486C2×Q8—221no—
1487C2×Q8—222no—
1488C2×Q8—441no—
1489C2×Q8—444no—
1490C2×Q8C23×D1111yescharacteristic
1491C2×Q8C23×D1111yescharacteristic
1492C2×Q8C23×D1111yescharacteristic
1493C2×D4—21no—
1494C2×D4—21no—
1495C2×D4—21no—
1496C2×D4—21no—
1497C2×D4—21no—
1498C2×D4—41no—
1499C2×D4—41no—
1500C2×D4—111no—
1501C2×D4—111no—
1502C2×D4—111no—
1503C2×D4—111no—
1504C2×D4—111no—
1505C2×D4—111no—
1506C2×D4—111no—
1507C2×D4—111no—
1508C2×D4—111no—
1509C2×D4—221no—
1510C2×D4—221no—
1511C2×D4—221no—
1512C2×D4—221no—
1513C2×D4—221no—
1514C2×D4—221no—
1515C2×D4—221no—
1516C2×D4—221no—
1517C2×D4—221no—
1518C2×D4—221no—
1519C2×D4—221no—
1520C2×D4—221no—
1521C2×D4—221no—
1522C2×D4—221no—
1523C2×D4—221no—
1524C2×D4—221no—
1525C2×D4—221no—
1526C2×D4—221no—
1527C2×D4—221no—
1528C2×D4—221no—
1529C2×D4—221no—
1530C2×D4—221no—
1531C2×D4—221no—
1532C2×D4—221no—
1533C2×D4—221no—
1534C2×D4—221no—
1535C2×D4—221no—
1536C2×D4—221no—
1537C2×D4—441no—
1538C2×D4—441no—
1539C2×D4—441no—
1540C2×D4—441no—
1541C2×D4—444no—
1542C2×D4—882no—
1543C2×D4—882no—
1544C2×D4D4×D1111yescharacteristic
1545C2×D4C23×D1111yescharacteristic
1546C2×D4C23×D1111yescharacteristic
1547C2×D4C23×D1111yescharacteristic
1548C22×C4—21no—
1549C22×C4—21no—
1550C22×C4—21no—
1551C22×C4—21no—
1552C22×C4—111no—
1553C22×C4—111no—
1554C22×C4—111no—
1555C22×C4—111no—
1556C22×C4—111no—
1557C22×C4—111no—
1558C22×C4—221no—
1559C22×C4—221no—
1560C22×C4—221no—
1561C22×C4—221no—
1562C22×C4—221no—
1563C22×C4—221no—
1564C22×C4—221no—
1565C22×C4—221no—
1566C22×C4—221no—
1567C22×C4—221no—
1568C22×C4—221no—
1569C22×C4—221no—
1570C22×C4—221no—
1571C22×C4—441no—
1572C22×C4—441no—
1573C22×C4—444no—
1574C22×C4C23×D1111yescharacteristic
1575C22×C4C23×D1111yescharacteristic
1576Q16—22no—
1577Q16—41no—
1578Q16—222no—
1579SD16—22no—
1580SD16—22no—
1581SD16—41no—
1582SD16—41no—
1583SD16—41no—
1584SD16—222no—
1585SD16—222no—
1586SD16—222no—
1587SD16—222no—
1588SD16—441no—
1589SD16—441no—
1590SD16—441no—
1591D8—41no—
1592D8—41no—
1593D8—441no—
1594D8—441no—
1595D8—441no—
1596D8—441no—
1597D8—441no—
1598D8—441no—
1599D8—441no—
1600M16—441no—
1601M16—441no—
1602M16—441no—
1603M16—441no—
1604C2×C8—41no—
1605C2×C8—41no—
1606C2×C8—111no—
1607C2×C8—111no—
1608C2×C8—111no—
1609C2×C8—111no—
1610C2×C8—441no—
1611C2×C8—441no—
1612C2×C8C23×D1111yescharacteristic
1613C2×C8C23×D1111yescharacteristic
1614C2×C8C23×D1111yescharacteristic
1615C2×C8C23×D1111yescharacteristic
1616C4⋊C4—21no—
1617C4⋊C4—21no—
1618C4⋊C4—21no—
1619C4⋊C4—111no—
1620C4⋊C4—111no—
1621C4⋊C4—111no—
1622C4⋊C4—111no—
1623C4⋊C4—111no—
1624C4⋊C4—111no—
1625C4⋊C4—111no—
1626C4⋊C4—111no—
1627C4⋊C4—111no—
1628C4⋊C4—221no—
1629C4⋊C4—221no—
1630C4⋊C4—221no—
1631C4⋊C4—221no—
1632C4⋊C4—221no—
1633C4⋊C4—221no—
1634C4⋊C4—221no—
1635C4⋊C4—221no—
1636C4⋊C4—221no—
1637C4⋊C4—221no—
1638C4⋊C4—221no—
1639C4⋊C4—221no—
1640C4⋊C4D4×D1111yescharacteristic
1641C4⋊C4C23×D1111yescharacteristic
1642C4⋊C4C23×D1111yescharacteristic
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—21no—
1652C22⋊C4—111no—
1653C22⋊C4—111no—
1654C22⋊C4—111no—
1655C22⋊C4—111no—
1656C22⋊C4—111no—
1657C22⋊C4—111no—
1658C22⋊C4—111no—
1659C22⋊C4—111no—
1660C22⋊C4—221no—
1661C22⋊C4—221no—
1662C22⋊C4—221no—
1663C22⋊C4—221no—
1664C22⋊C4—221no—
1665C22⋊C4—221no—
1666C22⋊C4—221no—
1667C22⋊C4—221no—
1668C22⋊C4—221no—
1669C22⋊C4—221no—
1670C22⋊C4—221no—
1671C22⋊C4—221no—
1672C22⋊C4—221no—
1673C22⋊C4—221no—
1674C22⋊C4—221no—
1675C22⋊C4—221no—
1676C22⋊C4—221no—
1677C22⋊C4—221no—
1678C22⋊C4—221no—
1679C22⋊C4—221no—
1680C22⋊C4—221no—
1681C22⋊C4—221no—
1682C22⋊C4—221no—
1683C22⋊C4D4×D1111yescharacteristic
1684C22⋊C4D4×D1111yescharacteristic
1685C42—21no—
1686C42—111no—
1687C42—221no—
1688C42—221no—
1689C42—221no—
1690C42—221no—
1691C42—221no—
1692C42—221no—
1693C42—221no—
1694C42C23×D1111yescharacteristic
1695C11#6161611yescharacteristic, complemented, Sylow
1696C23—21no—
1697C23—21no—
1698C23—21no—
1699C23—81no—
1700C23—81no—
1701C23—81no—
1702C23—111no—
1703C23—111no—
1704C23—111no—
1705C23—221no—
1706C23—221no—
1707C23—221no—
1708C23—441no—
1709C23—441no—
1710C23—441no—
1711C23—442no—
1712C23—442no—
1713C23—881no—
1714C23—881no—
1715C23—881no—
1716C23—881no—
1717C23C2×D4×D1111yescharacteristic
1718C23C2×D4×D1111yescharacteristic
1719Q8—21no—
1720Q8—21no—
1721Q8—21no—
1722Q8—21no—
1723Q8—21no—
1724Q8—42no—
1725Q8—112no—
1726Q8—224no—
1727Q8—221no—
1728Q8—441no—
1729Q8—442no—
1730Q8—881no—
1731Q8#6703712yes—
1732D4—21no—
1733D4—21no—
1734D4—21no—
1735D4—21no—
1736D4—21no—
1737D4—21no—
1738D4—41no—
1739D4—42no—
1740D4—81no—
1741D4—81no—
1742D4—81no—
1743D4—81no—
1744D4—221no—
1745D4—221no—
1746D4—221no—
1747D4—221no—
1748D4—221no—
1749D4—221no—
1750D4—441no—
1751D4—441no—
1752D4—442no—
1753D4—442no—
1754D4—442no—
1755D4—441no—
1756D4—441no—
1757D4—441no—
1758D4—441no—
1759D4—442no—
1760D4—442no—
1761D4—442no—
1762D4—442no—
1763D4—442no—
1764D4—881no—
1765D4—881no—
1766D4—881no—
1767D4—881no—
1768D4—881no—
1769D4—881no—
1770D4—881no—
1771D4—881no—
1772D4—881no—
1773D4—881no—
1774D4—881no—
1775D4—881no—
1776D4—881no—
1777D4—881no—
1778D4—881no—
1779D4—881no—
1780D4—881no—
1781D4—881no—
1782D4—881no—
1783D4—881no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—42no—
1794C2×C4—42no—
1795C2×C4—81no—
1796C2×C4—81no—
1797C2×C4—111no—
1798C2×C4—111no—
1799C2×C4—111no—
1800C2×C4—111no—
1801C2×C4—111no—
1802C2×C4—224no—
1803C2×C4—221no—
1804C2×C4—221no—
1805C2×C4—221no—
1806C2×C4—221no—
1807C2×C4—221no—
1808C2×C4—221no—
1809C2×C4—221no—
1810C2×C4—221no—
1811C2×C4—221no—
1812C2×C4—221no—
1813C2×C4—221no—
1814C2×C4—441no—
1815C2×C4—441no—
1816C2×C4—442no—
1817C2×C4—442no—
1818C2×C4—442no—
1819C2×C4—442no—
1820C2×C4—442no—
1821C2×C4—442no—
1822C2×C4—442no—
1823C2×C4—441no—
1824C2×C4—442no—
1825C2×C4—881no—
1826C2×C4—881no—
1827C2×C4—881no—
1828C2×C4—881no—
1829C2×C4C2×D4×D1111yescharacteristic
1830C2×C4C2×D4×D1111yescharacteristic
1831C2×C4C2×D4×D1111yescharacteristic
1832C2×C4C2×D4×D1111yescharacteristic
1833C2×C4C24×D1111yescharacteristic
1834C8—21no—
1835C8—21no—
1836C8—21no—
1837C8—21no—
1838C8—221no—
1839C8—221no—
1840C8—221no—
1841C8—221no—
1842C22—21no—
1843C22—21no—
1844C22—21no—
1845C22—21no—
1846C22—21no—
1847C22—21no—
1848C22—41no—
1849C22—41no—
1850C22—41no—
1851C22—41no—
1852C22—41no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—162no—
1858C22—221no—
1859C22—221no—
1860C22—221no—
1861C22—221no—
1862C22—221no—
1863C22—221no—
1864C22—221no—
1865C22—221no—
1866C22—221no—
1867C22—441no—
1868C22—441no—
1869C22—441no—
1870C22—441no—
1871C22—441no—
1872C22—441no—
1873C22—441no—
1874C22—441no—
1875C22—441no—
1876C22—882no—
1877C22—884no—
1878C22—1762no—
1879C22C22×D4×D1111yescharacteristic
1880C4—21no—
1881C4—21no—
1882C4—21no—
1883C4—22no—
1884C4—21no—
1885C4—41no—
1886C4—41no—
1887C4—41no—
1888C4—41no—
1889C4—221no—
1890C4—221no—
1891C4—221no—
1892C4—221no—
1893C4—222no—
1894C4—221no—
1895C4—441no—
1896C4—441no—
1897C4—441no—
1898C4—441no—
1899C4C2×#6703711yescharacteristic
1900C4D11×H(5,𝔽2)11yescharacteristic
1901C2—41no—
1902C2—41no—
1903C2—81no—
1904C2—81no—
1905C2—81no—
1906C2—441no—
1907C2—441no—
1908C2—441no—
1909C2—881no—
1910C2—881no—
1911C2—881no—
1912C2#1308224411yescharacteristic
1913C2#1308338511yescharacteristic
1914C2#1308339411yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3282C2
socleC22×C11C23×D4
hypercenter#3282D11
hypocenterC11#61616
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3282

Complements

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

NH ≅ G/Ntype
1. #13082930C2semidirect
2. #13082273C2semidirect
3. #13080945C2semidirect
4. #13080888C2semidirect
5. #13080802C2semidirect
6. #13080748C2semidirect
7. #13080626C2semidirect
8. #13080614C2semidirect
9. #13080567C2semidirect
10. #13080513C2semidirect
11. #13080370C2semidirect
12. #13080246C2semidirect
13. #13080234C2semidirect
14. #13080205C2semidirect
15. #13080152C2semidirect
16. #13080151C2semidirect
17. #13080111C2semidirect
18. #13079703C2semidirect
19. #13079663C2semidirect
20. #13079479C2semidirect
21. #13079471C2semidirect
22. #13079457C2semidirect
23. #13079382C2semidirect
24. #13078904C2semidirect
25. #13078844C2semidirect
26. #13077932C2semidirect
27. #13077898C2semidirect
28. #13077865C2semidirect
29. #13077830C2semidirect
30. #13077658C2semidirect
31. C11×#3282C2semidirect
32. C2×#41×D11C22semidirect
33. C2×#67040C22semidirect
34. C2×C11×#135C22semidirect
35. C22×C11×SD16C22semidirect
36. C11×#548C22semidirect
37. C11×#546C22semidirect
38. #10623365C22semidirect
39. #10623365C22semidirect
41. C2×#67003C22semidirect
44. D4×C22⋊D11C22semidirect
45. C2×#66985C22semidirect
46. C2×#66972C22semidirect
47. C2×#66971C22semidirect
52. #10623208C22semidirect
53. #10623207C22semidirect
55. #10623205C22semidirect
58. #10623170C22semidirect
60. #10623164C22semidirect
63. #10623158C22semidirect
65. #10623145C22semidirect
68. #10623138C22semidirect
74. #10623108C22semidirect
75. #10623103C22semidirect
76. #10623094C22semidirect
79. #10623084C22semidirect
80. #10623082C22semidirect
85. C11×#495C22semidirect
86. C11×#465C22semidirect
87. C11×#465C22semidirect
88. C11×#464C22semidirect
89. C11×#463C22semidirect
90. C11×#452C22semidirect
91. C11×#451C22semidirect
93. C11×#447C22semidirect
94. C4×C11×SD16C22semidirect
95. C8×D4×C11C22semidirect
96. #10622851C22semidirect
97. #10622851C22semidirect
98. #10622846C22semidirect
99. #10622840C22semidirect
100. #10622838C22semidirect
101. #10622830C22semidirect
102. #10622802C22semidirect
103. #10622800C22semidirect
104. #10622800C22semidirect
105. #10622799C22semidirect
106. #10622798C22semidirect
107. Q16×Dic11C22semidirect
108. #10622789C22semidirect
109. #10622787C22semidirect
110. #10622786C22semidirect
113. #10622785C22semidirect
114. #10622785C22semidirect
115. #10622785C22semidirect
116. #10622785C22semidirect
118. #10622783C22semidirect
119. #10622783C22semidirect
120. #10622783C22semidirect
121. #10622782C22semidirect
122. #10622782C22semidirect
123. #10622778C22semidirect
124. #10622777C22semidirect
125. #10622776C22semidirect
126. #10622776C22semidirect
127. #10622772C22semidirect
129. #10622770C22semidirect
131. #10622769C22semidirect
132. #10622764C22semidirect
133. #10622763C22semidirect
134. #10622728C22semidirect
135. #10622728C22semidirect
136. #10622726C22semidirect
137. #10622726C22semidirect
138. #10622724C22semidirect
139. #10622723C22semidirect
140. C8×C22⋊D11C22semidirect
141. C2×(C2×D11)⋊C8C22semidirect
142. #10622671C22semidirect
143. #10622670C22semidirect
144. #10622668C22semidirect
145. #10622667C22semidirect
146. #10622662C22semidirect
147. #10622661C22semidirect
148. #10622660C22semidirect
149. #10622658C22semidirect
150. #10622652C22semidirect
151. #10622651C22semidirect
153. #10622648C22semidirect
154. #10622639C22semidirect
155. #10622633C22semidirect
156. #10622631C22semidirect
157. #10622628C22semidirect
158. #10622624C22semidirect
159. #10622479C22semidirect
160. #10622476C22semidirect
161. #10622476C22semidirect
162. #10622470C22semidirect
163. #10622463C22semidirect
164. #10622456C22semidirect
165. #10622453C22semidirect
166. #10622449C22semidirect
167. #10622427C22semidirect
168. #10622425C22semidirect
169. #10622424C22semidirect
170. #10622424C22semidirect
171. #10622422C22semidirect
172. #10622419C22semidirect
173. #10622416C22semidirect
174. #10622416C22semidirect
175. D11×#103C22semidirect
176. #10622413C22semidirect
177. #10622412C22semidirect
178. #10622402C22semidirect
180. #10622395C22semidirect
181. #10622395C22semidirect
182. #10622392C22semidirect
183. #10622388C22semidirect
184. #10622387C22semidirect
185. #10622386C22semidirect
186. #10622386C22semidirect
187. #10622384C22semidirect
188. #10622377C22semidirect
189. #10622375C22semidirect
190. #10622371C22semidirect
191. #10622350C22semidirect
192. #10622350C22semidirect
193. #10622347C22semidirect
194. #10622347C22semidirect
195. #10622343C22semidirect
196. #10622342C22semidirect
197. #10622340C22semidirect
198. #10622339C22semidirect
199. #10622307C22semidirect
200. C4×#4314C22semidirect
201. #10622303C22semidirect
202. #10622301C22semidirect
750. #3282D11semidirect
924. C2×#135C2×D11semidirect
925. C22×SD16C2×D11semidirect
944. #548C2×D11semidirect
948. #546C2×D11semidirect
971. #495C2×D11semidirect
1007. #465C2×D11semidirect
1008. #465C2×D11semidirect
1011. #464C2×D11semidirect
1014. #463C2×D11semidirect
1025. #452C2×D11semidirect
1027. #451C2×D11semidirect
1056. #447C2×D11semidirect
1064. C4×SD16C2×D11semidirect
1072. C8×D4C2×D11semidirect
1695. C11#61616semidirect

Maximal subgroups

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

subgroupindex
#130829302
#130822732
#130809452
#130808882
#130808022
#130807482
#130806262
#130806142
#130805672
#130805132
#130803702
#130802462
#130802342
#130802052
#130801522
#130801512
#130801112
#130797032
#130796632
#130794792
#130794712
#130794572
#130793822
#130789042
#130788442
#130779322
#130778982
#130778652
#130778302
#130776582
C11×#32822
#6161611