Finite Group Databasebeta

← #15638815

Subgroups — #15638815

Order 2816.

2118 conjugacy classes of subgroups.

The subgroup lattice has 1884 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082452C211yesmaximal, characteristic, complemented
2D11×#548C211yesmaximal, characteristic, complemented
3#13080891C211yesmaximal, characteristic, complemented
4#13080890C211yesmaximal, characteristic, complemented
5#13080889C211yesmaximal, characteristic, complemented
6#13080888C211yesmaximal, characteristic, complemented
7#13080871C211yesmaximal, characteristic, complemented
8#13080869C211yesmaximal, characteristic, complemented
9#13080864C211yesmaximal, characteristic, complemented
10#13080862C211yesmaximal, characteristic, complemented
11#13080273C211yesmaximal, characteristic, complemented
12#13080269C211yesmaximal, characteristic, complemented
13#13080267C211yesmaximal, characteristic, complemented
14#13080246C211yesmaximal, characteristic, complemented
15#13080245C211yesmaximal, characteristic, complemented
16#13080242C211yesmaximal, characteristic, complemented
17#13080241C211yesmaximal, characteristic, complemented
18#13079585C211yesmaximal, characteristic, complemented
19#13079576C211yesmaximal, characteristic, complemented
20#13079438C211yesmaximal, characteristic, complemented
21#13079431C211yesmaximal, characteristic, complemented
22#13079428C211yesmaximal, characteristic, complemented
23#13079417C211yesmaximal, characteristic, complemented
24#13078700C211yesmaximal, characteristic, complemented
25#13078695C211yesmaximal, characteristic, complemented
26#13077872C211yesmaximal, characteristic, complemented
27#13077865C211yesmaximal, characteristic, complemented
28#13077851C211yesmaximal, characteristic, complemented
29#13077848C211yesmaximal, characteristic, complemented
30#13077654C211yesmaximal, characteristic, complemented
31C11×#3277C211yesmaximal, characteristic, complemented
32C2×#41×D11C2211yescharacteristic
33C22×Q8×D11C2211yescharacteristic, complemented
34C2×C11×#137C2211yescharacteristic, complemented
35C2×C11×#137C2211yescharacteristic, complemented
36C11×#548C2211yescharacteristic, complemented
37C11×#548C2211yescharacteristic, complemented
38#10623362C2211yescharacteristic, complemented
39#10623360C2211yescharacteristic, complemented
40#10623359C2211yescharacteristic
41C2×#67004C2211yescharacteristic, complemented
42#10623348C2211yescharacteristic
43#10623348C2211yescharacteristic, complemented
44C2×#66999C2211yescharacteristic
45C2×#66995C2211yescharacteristic, complemented
46C2×#66971C2211yescharacteristic, complemented
47C2×#66971C2211yescharacteristic, complemented
48C2×#66967C2211yescharacteristic, complemented
49C2×#66964C2211yescharacteristic, complemented
50#10623211C2211yescharacteristic
51#10623210—21no—
52#10623209—21no—
53#10623208—21no—
54#10623208C2211yescharacteristic
55#10623207C2211yescharacteristic, complemented
56D11×#124—21no—
57D11×#124C2211yescharacteristic, complemented
58#10623170C2211yescharacteristic, complemented
59#10623169—21no—
60#10623168—21no—
61#10623164—21no—
62#10623164C2211yescharacteristic, complemented
63#10623158C2211yescharacteristic
64D11×C22⋊Q8—21no—
65D11×C22⋊Q8C2211yescharacteristic
66#10623149C2211yescharacteristic, complemented
67#10623136—21no—
68D11×#121—21no—
69D11×#121C2211yescharacteristic
70D11×#121C2211yescharacteristic, complemented
71#10623132—21no—
72#10623129—21no—
73#10623129C2211yescharacteristic
74#10623112C2211yescharacteristic, complemented
75#10623111C2211yescharacteristic
76#10623107C2211yescharacteristic
77C4×Q8×D11C2211yescharacteristic, complemented
78#10623096C2211yescharacteristic, complemented
79#10623083—21no—
80#10623083C2211yescharacteristic, complemented
81#10623076—21no—
82C4×D4×D11—21no—
83C4×D4×D11C2211yescharacteristic
84#10623071—21no—
85C11×#495C2211yescharacteristic, complemented
86C11×#468C2211yescharacteristic, complemented
87C11×#468C2211yescharacteristic, complemented
88C11×#464C2211yescharacteristic, complemented
89C11×#464C2211yescharacteristic, complemented
90C11×#451C2211yescharacteristic, complemented
91C11×#451C2211yescharacteristic, complemented
92C11×#449C2211yescharacteristic, complemented
93C11×#449C2211yescharacteristic, complemented
94C4×C11×Q16C2211yescharacteristic, complemented
95C11×#436C2211yescharacteristic, complemented
96#10622851C2211yescharacteristic, complemented
97#10622851C2211yescharacteristic, complemented
98#10622845C2211yescharacteristic, complemented
99#10622841C2211yescharacteristic, complemented
100#10622840C2211yescharacteristic, complemented
101#10622838C2211yescharacteristic, complemented
102#10622804C2211yescharacteristic, complemented
103#10622802C2211yescharacteristic, complemented
104#10622802C2211yescharacteristic, complemented
105#10622800C2211yescharacteristic, complemented
106#10622800C2211yescharacteristic, complemented
107#10622799C2211yescharacteristic, complemented
108#10622799C2211yescharacteristic, complemented
109#10622799C2211yescharacteristic, complemented
110#10622799C2211yescharacteristic, complemented
111#10622799C2211yescharacteristic, complemented
112#10622799C2211yescharacteristic, complemented
113#10622798C2211yescharacteristic, complemented
114#10622798C2211yescharacteristic, complemented
115Q16×Dic11C2211yescharacteristic, complemented
116#10622787C2211yescharacteristic, complemented
117#10622786C2211yescharacteristic, complemented
118#10622786C2211yescharacteristic, complemented
119#10622785C2211yescharacteristic, complemented
120#10622783C2211yescharacteristic
121#10622783C2211yescharacteristic
122#10622783C2211yescharacteristic, complemented
123#10622783C2211yescharacteristic, complemented
124#10622782C2211yescharacteristic, complemented
125#10622782C2211yescharacteristic, complemented
126#10622782C2211yescharacteristic, complemented
127#10622781C2211yescharacteristic, complemented
128#10622779C2211yescharacteristic, complemented
129#10622778C2211yescharacteristic, complemented
130SD16×Dic11C2211yescharacteristic, complemented
131#10622772C2211yescharacteristic, complemented
132#10622769C2211yescharacteristic
133#10622766C2211yescharacteristic, complemented
134#10622748C2211yescharacteristic, complemented
135#10622747C2211yescharacteristic, complemented
136#10622746C2211yescharacteristic, complemented
137#10622741C2211yescharacteristic, complemented
138#10622741C2211yescharacteristic, complemented
139#10622739C2211yescharacteristic
140#10622739C2211yescharacteristic, complemented
141#10622733C2211yescharacteristic, complemented
142#10622672C2211yescharacteristic, complemented
143#10622670C2211yescharacteristic, complemented
144#10622669C2211yescharacteristic, complemented
145#10622667C2211yescharacteristic, complemented
146#10622663C2211yescharacteristic, complemented
147#10622662C2211yescharacteristic, complemented
148#10622662C2211yescharacteristic, complemented
149#10622656C2211yescharacteristic, complemented
150#10622655C2211yescharacteristic, complemented
151#10622652C2211yescharacteristic, complemented
152#10622650C2211yescharacteristic, complemented
153#10622648C2211yescharacteristic, complemented
154C4×#4326C2211yescharacteristic, complemented
155#10622641C2211yescharacteristic, complemented
156C4×#4325C2211yescharacteristic, complemented
157#10622635C2211yescharacteristic, complemented
158#10622625C2211yescharacteristic, complemented
159#10622498C2211yescharacteristic, complemented
160#10622497C2211yescharacteristic, complemented
161#10622495C2211yescharacteristic
162#10622490C2211yescharacteristic, complemented
163#10622457C2211yescharacteristic, complemented
164#10622451C2211yescharacteristic, complemented
165#10622446C2211yescharacteristic, complemented
166#10622442C2211yescharacteristic, complemented
167#10622429C2211yescharacteristic, complemented
168#10622429C2211yescharacteristic, complemented
169#10622425C2211yescharacteristic, complemented
170#10622424C2211yescharacteristic, complemented
171#10622422C2211yescharacteristic, complemented
172#10622419C2211yescharacteristic
173#10622419C2211yescharacteristic
174#10622418C2211yescharacteristic, complemented
175#10622418C2211yescharacteristic, complemented
176#10622416C2211yescharacteristic, complemented
177#10622415C2211yescharacteristic, complemented
178#10622415C2211yescharacteristic, complemented
179#10622413C2211yescharacteristic, complemented
180#10622412C2211yescharacteristic, complemented
181#10622411C2211yescharacteristic, complemented
182#10622403C2211yescharacteristic, complemented
183#10622395C2211yescharacteristic, complemented
184#10622392C2211yescharacteristic, complemented
185#10622389C2211yescharacteristic, complemented
186#10622387C2211yescharacteristic
187#10622386C2211yescharacteristic
188#10622384C2211yescharacteristic, complemented
189#10622381C2211yescharacteristic, complemented
190#10622371C2211yescharacteristic, complemented
191#10622351C2211yescharacteristic, complemented
192#10622350C2211yescharacteristic, complemented
193#10622347C2211yescharacteristic, complemented
194#10622342C2211yescharacteristic, complemented
195#10622342C2211yescharacteristic, complemented
196#10622339C2211yescharacteristic
197#10622339C2211yescharacteristic, complemented
198#10622334C2211yescharacteristic, complemented
199#10622310C2211yescharacteristic, complemented
200C4×#4314C2211yescharacteristic, complemented
201#10622301C2211yescharacteristic, complemented
202#10622298C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C2×C11×#41C2311yescharacteristic
205C22×Q8×C11C2311yescharacteristic
206C22×Q8×C11C2311yescharacteristic
207#41×D11—42no—
208#41×D11—42no—
209C2×#4343C2311yescharacteristic
210C2×#4343C2311yescharacteristic
211C2×Q8×D11—21no—
212C2×Q8×D11—21no—
213C2×Q8×D11—42no—
214C2×Q8×D11—42no—
215C2×Q8×D11C2311yescharacteristic
216C2×Q8×D11C2311yescharacteristic
217C2×Q8×D11C2311yescharacteristic
218C2×Q8×D11C2311yescharacteristic
219C2×#4341—21no—
220C2×#4341C2311yescharacteristic
221C2×D4×D11—21no—
222C2×D4×D11—21no—
223C2×D4×D11—21no—
224C2×D4×D11D411yescharacteristic
225C2×D4×D11C2311yescharacteristic
226C2×D4×D11C2311yescharacteristic
227C2×#4339—21no—
228C2×#4339C2311yescharacteristic
229C22×C4×D11—21no—
230C22×C4×D11—21no—
231C22×C4×D11C2311yescharacteristic
232C22×C4×D11C2311yescharacteristic
233C22×Dic22—21no—
234C22×Dic22C2311yescharacteristic
235C11×#137—42no—
236C11×#137—42no—
237C2×C11×Q16C2311yescharacteristic
238C2×C11×Q16C2311yescharacteristic
239C2×C11×Q16C2311yescharacteristic
240C2×C11×Q16C2311yescharacteristic
241C2×C11×SD16C2311yescharacteristic
242C2×C11×SD16C2311yescharacteristic
243C2×C11×SD16C2311yescharacteristic
244C2×C11×SD16C2311yescharacteristic
245C2×C11×D8C2311yescharacteristic
246C2×C11×M16C2311yescharacteristic
247C2×C11×M16C2311yescharacteristic
248C11×#124—21no—
249C11×#124—21no—
250C11×#124C2311yescharacteristic
251C11×#124C2311yescharacteristic
252C11×C22⋊Q8—21no—
253C11×C22⋊Q8—21no—
254C11×C22⋊Q8C2311yescharacteristic
255C11×C22⋊Q8C2311yescharacteristic
256C11×#121—21no—
257C11×#121—21no—
258C11×#121C2311yescharacteristic
259C11×#121C2311yescharacteristic
260C4×Q8×C11C2311yescharacteristic
261C4×Q8×C11C2311yescharacteristic
262C4×D4×C11—21no—
263C4×D4×C11—21no—
264C4×D4×C11C2311yescharacteristic
265#67004—42no—
266#67000—21no—
267#67000—21no—
268#67000C2311yescharacteristic
269#67000C2311yescharacteristic
270#66999—21no—
271#66999—21no—
272#66999—21no—
273#66999—21no—
274#66999C2311yescharacteristic
275#66999C2311yescharacteristic
276#66999C2311yescharacteristic
277#66999C2311yescharacteristic
278#66999C2311yescharacteristic
279#66999C2311yescharacteristic
280Q8×Dic11C2311yescharacteristic
281Q8×Dic11C2311yescharacteristic
282C2×#4326C2311yescharacteristic
283C2×#4326C2311yescharacteristic
284C2×#4326C2311yescharacteristic
285C2×#4326C2311yescharacteristic
286#66995—42no—
287C2×#4325C2311yescharacteristic
288C2×#4325C2311yescharacteristic
289C2×#4325C2311yescharacteristic
290C2×#4325C2311yescharacteristic
291#66992—21no—
292#66992—21no—
293#66992—21no—
294#66992—21no—
295#66992—21no—
296#66992—21no—
297#66992—21no—
298#66991—21no—
299#66991C2311yescharacteristic
300#66991C2311yescharacteristic
301#66991C2311yescharacteristic
302#66990—21no—
303#66990—21no—
304#66989—21no—
305#66989C2311yescharacteristic
306#66988—21no—
307D4×Dic11—21no—
308D4×Dic11—21no—
309D4×Dic11D411yescharacteristic
310D4×Dic11C2311yescharacteristic
311C2×#4324C2311yescharacteristic
312C2×#4324C2311yescharacteristic
313C2×#4323C2311yescharacteristic
314C2×#4323C2311yescharacteristic
315#66983—21no—
316#66983—21no—
317#66983C2311yescharacteristic
318#66983C2311yescharacteristic
319#66983C2311yescharacteristic
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#66979C2311yescharacteristic
331C2×C4⋊Dic11C2311yescharacteristic
332#66977—21no—
333#66977C2311yescharacteristic
334C2×Dic11⋊C4—21no—
335C2×#4318C2311yescharacteristic
336C2×#4318C2311yescharacteristic
337#66971—42no—
338#66971—42no—
339#66967—42no—
340#66964—42no—
341C2×D88C2311yescharacteristic
342C2×#4314C2311yescharacteristic
343C2×#4314C2311yescharacteristic
344C2×#4313C2311yescharacteristic
345C2×#4313C2311yescharacteristic
346C2×#4313C2311yescharacteristic
347C2×#4313C2311yescharacteristic
348#66951—21no—
349#66951—21no—
350#66950—21no—
351#66950C2311yescharacteristic
352#66949—21no—
353#66949—21no—
354#66949—21no—
355#66948—21no—
356#66948C2311yescharacteristic
357#66948C2311yescharacteristic
358#66947—21no—
359#66947—21no—
360#66947—21no—
361#66946—21no—
362#66946—21no—
363#66946D411yescharacteristic
364#66945—21no—
365#66945C2311yescharacteristic
366C4⋊C4×D11—21no—
367C4⋊C4×D11—21no—
368C4⋊C4×D11D411yescharacteristic
369C4⋊C4×D11C2311yescharacteristic
370C4⋊C4×D11C2311yescharacteristic
371#66943C2311yescharacteristic
372#66942—21no—
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#66936—21no—
389#66936—21no—
390#66936—21no—
391#66936—21no—
392#66935—21no—
393#66935—21no—
394(C22⋊D11)⋊C4—21no—
395(C22⋊D11)⋊C4—21no—
396(C22⋊D11)⋊C4—21no—
397(C22⋊D11)⋊C4—21no—
398(C22⋊D11)⋊C4—21no—
399(C22⋊D11)⋊C4D411yescharacteristic
400(C22⋊D11)⋊C4D411yescharacteristic
401C22⋊C4×D11—21no—
402C22⋊C4×D11—21no—
403C22⋊C4×D11—21no—
404C22⋊C4×D11—21no—
405C22⋊C4×D11—21no—
406C22⋊C4×D11—21no—
407C22⋊C4×D11D411yescharacteristic
408C22⋊C4×D11D411yescharacteristic
409#66932—21no—
410#66932—21no—
411#66932—21no—
412#66931—21no—
413#66931—21no—
414#66931—21no—
415#66930—21no—
416#66929—21no—
417#66928—21no—
418#66928C2311yescharacteristic
419C4×D44—21no—
420C4×D44—21no—
421C4×D44C2311yescharacteristic
422C4×D44C2311yescharacteristic
423#66925—21no—
424#66925—21no—
425C42×D11—21no—
426C42×D11C2311yescharacteristic
427#66923C2311yescharacteristic
428C4×Dic22—21no—
429C4×Dic22C2311yescharacteristic
430C11×#107C2311yescharacteristic
431C11×C4⋊C8C2311yescharacteristic
432C11×#103C2311yescharacteristic
433C11×#103C2311yescharacteristic
434C11×#103C2311yescharacteristic
435C11×#103C2311yescharacteristic
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#66899C2311yescharacteristic
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(C2×D11)⋊C8C2311yescharacteristic
460(C2×D11)⋊C8C2311yescharacteristic
461(C2×D11)⋊C8C2311yescharacteristic
462(C2×D11)⋊C8C2311yescharacteristic
463(C2×D11)⋊C8C2311yescharacteristic
464(C2×D11)⋊C8C2311yescharacteristic
465(C2×D11)⋊C8C2311yescharacteristic
466(C2×D11)⋊C8C2311yescharacteristic
467#66882C2311yescharacteristic
468#66881C2311yescharacteristic
469#66881C2311yescharacteristic
470#66880C2311yescharacteristic
471#66880C2311yescharacteristic
472#66880C2311yescharacteristic
473#66880C2311yescharacteristic
474#66880C2311yescharacteristic
475#66880C2311yescharacteristic
476Dic11⋊C8C2311yescharacteristic
477Dic11⋊C8C2311yescharacteristic
478C8×Dic11C2311yescharacteristic
479C8×Dic11C2311yescharacteristic
480#66874C2311yescharacteristic
481#66874C2311yescharacteristic
482#66873C2311yescharacteristic
483#66873C2311yescharacteristic
484#66872C2311yescharacteristic
485#66872C2311yescharacteristic
486#66871C2311yescharacteristic
487#66871C2311yescharacteristic
488C4⋊(C11⋊C8)C2311yescharacteristic
489C4×C11⋊C8C2311yescharacteristic
490#61583—111nomaximal, Sylow
491C23×D11—21no—
492C23×D11—21no—
493C23×D11C2×D411yescharacteristic
494C23×D11C2×D411yescharacteristic
495C11×#41—22no—
496C11×#41—41no—
497C11×#41—41no—
498C11×#41—41no—
499C2×Q8×C11—21no—
500C2×Q8×C11—21no—
501C2×Q8×C11—22no—
502C2×Q8×C11—41no—
503C2×Q8×C11—41no—
504C2×Q8×C11—41no—
505C2×Q8×C11C2411yescharacteristic
506C2×Q8×C11C2411yescharacteristic
507C2×Q8×C11C2411yescharacteristic
508C2×Q8×C11C2411yescharacteristic
509C2×D4×C11—21no—
510C2×D4×C11—21no—
511C2×D4×C11—21no—
512C2×D4×C11—21no—
513C2×D4×C11C2×D411yescharacteristic
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⋊D11C2×D411yescharacteristic
533C2×C22⋊D11C2×D411yescharacteristic
534C22×Dic11—21no—
535C22×Dic11—21no—
536C22×Dic11—21no—
537C22×Dic11—21no—
538C22×Dic11C2×D411yescharacteristic
539C22×Dic11C2×D411yescharacteristic
540#4343—22no—
541#4343—41no—
542#4343—41no—
543#4343—41no—
544Q8×D11—22no—
545Q8×D11—22no—
546Q8×D11—22no—
547Q8×D11—22no—
548Q8×D11—41no—
549Q8×D11—41no—
550Q8×D11—41no—
551Q8×D11—41no—
552Q8×D11—44no—
553Q8×D11—44no—
554#4341—22no—
555#4341—41no—
556#4341—44no—
557D4×D11—41no—
558D4×D11—41no—
559D4×D11—41no—
560D4×D11—41no—
561D4×D11—42no—
562D4×D11—44no—
563D4×D11—44no—
564D4×D11—44no—
565#4339—22no—
566#4339—41no—
567#4339—44no—
568C2×D44—21no—
569C2×D44—21no—
570C2×D44—21no—
571C2×D44—21no—
572C2×D44C2×D411yescharacteristic
573C2×D44C2411yescharacteristic
574C2×D44C2411yescharacteristic
575C2×C4×D11—21no—
576C2×C4×D11—21no—
577C2×C4×D11—21no—
578C2×C4×D11—21no—
579C2×C4×D11—21no—
580C2×C4×D11—21no—
581C2×C4×D11—21no—
582C2×C4×D11—21no—
583C2×C4×D11—21no—
584C2×C4×D11—21no—
585C2×C4×D11—41no—
586C2×C4×D11—41no—
587C2×C4×D11—41no—
588C2×C4×D11—41no—
589C2×C4×D11—44no—
590C2×C4×D11—44no—
591C2×C4×D11C2×D411yescharacteristic
592C2×C4×D11C2×D411yescharacteristic
593C2×C4×D11C2×D411yescharacteristic
594C2×C4×D11C2×D411yescharacteristic
595C2×C4×D11C2×D411yescharacteristic
596C2×C4×D11C2×D411yescharacteristic
597C2×C4×D11C2411yescharacteristic
598C2×C4×D11C2411yescharacteristic
599C2×C4×D11C2411yescharacteristic
600C2×Dic22—21no—
601C2×Dic22—22no—
602C2×Dic22—21no—
603C2×Dic22—21no—
604C2×Dic22—21no—
605C2×Dic22—21no—
606C2×Dic22—41no—
607C2×Dic22—44no—
608C2×Dic22C2411yescharacteristic
609C2×Dic22C2411yescharacteristic
610C11×Q16—22no—
611C11×Q16—22no—
612C11×Q16—41no—
613C11×Q16—41no—
614C11×SD16—22no—
615C11×SD16—41no—
616C11×SD16—41no—
617C11×SD16—41no—
618C11×D8—41no—
619C11×M16—41no—
620C11×M16—41no—
621C2×C8×C11C2411yescharacteristic
622C2×C8×C11C2411yescharacteristic
623C2×C8×C11C2411yescharacteristic
624C2×C8×C11C2411yescharacteristic
625C11×C4⋊C4—21no—
626C11×C4⋊C4—21no—
627C11×C4⋊C4—21no—
628C11×C4⋊C4—21no—
629C11×C4⋊C4C2×D411yescharacteristic
630C11×C4⋊C4C2411yescharacteristic
631C11×C4⋊C4C2411yescharacteristic
632C11×C22⋊C4—21no—
633C11×C22⋊C4—21no—
634C11×C22⋊C4—21no—
635C11×C22⋊C4—21no—
636C11×C22⋊C4—21no—
637C11×C22⋊C4—21no—
638C11×C22⋊C4—21no—
639C11×C22⋊C4—21no—
640C11×C22⋊C4C2×D411yescharacteristic
641C11×C22⋊C4C2×D411yescharacteristic
642C42×C11—21no—
643C42×C11—21no—
644C42×C11C2411yescharacteristic
645C22⋊Dic11—21no—
646C22⋊Dic11—21no—
647C22⋊Dic11—21no—
648C22⋊Dic11—21no—
649C22⋊Dic11—21no—
650C22⋊Dic11—21no—
651C22⋊Dic11—21no—
652C22⋊Dic11—21no—
653C22⋊Dic11C2×D411yescharacteristic
654C22⋊Dic11C2×D411yescharacteristic
655#4326—22no—
656#4326—22no—
657#4326—41no—
658#4326—41no—
659#4325—22no—
660#4325—41no—
661#4325—41no—
662#4325—41no—
663#4324—22no—
664#4324—41no—
665#4323—41no—
666#4323—41no—
667(C2×D11)⋊C4—21no—
668(C2×D11)⋊C4—21no—
669(C2×D11)⋊C4—21no—
670(C2×D11)⋊C4—21no—
671(C2×D11)⋊C4—21no—
672(C2×D11)⋊C4—21no—
673(C2×D11)⋊C4—21no—
674(C2×D11)⋊C4—21no—
675(C2×D11)⋊C4—21no—
676(C2×D11)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
688(C2×D11)⋊C4C2×D411yescharacteristic
689(C2×D11)⋊C4C2×D411yescharacteristic
690(C2×D11)⋊C4C2×D411yescharacteristic
691C4⋊Dic11—21no—
692C4⋊Dic11—21no—
693C4⋊Dic11—21no—
694C4⋊Dic11—21no—
695C4⋊Dic11—21no—
696C4⋊Dic11C2×D411yescharacteristic
697C4⋊Dic11C2411yescharacteristic
698C4⋊Dic11C2411yescharacteristic
699C4⋊Dic11C2411yescharacteristic
700C4⋊Dic11C2411yescharacteristic
701Dic11⋊C4—21no—
702Dic11⋊C4—21no—
703Dic11⋊C4—21no—
704Dic11⋊C4—21no—
705Dic11⋊C4—21no—
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⋊C4—21no—
715Dic11⋊C4C2×D411yescharacteristic
716Dic11⋊C4C2×D411yescharacteristic
717C4×Dic11—21no—
718C4×Dic11—21no—
719C4×Dic11—21no—
720C4×Dic11—21no—
721C4×Dic11—21no—
722C4×Dic11—21no—
723C4×Dic11C2×D411yescharacteristic
724C4×Dic11C2×D411yescharacteristic
725C4×Dic11C2411yescharacteristic
726#4318—41no—
727#4318—41no—
728C2×C11⋊C8C2411yescharacteristic
729C2×C11⋊C8C2411yescharacteristic
730C2×C11⋊C8C2411yescharacteristic
731C2×C11⋊C8C2411yescharacteristic
732D88—41no—
733#4314—22no—
734#4314—41no—
735#4313—41no—
736#4313—41no—
737#4313—41no—
738#4313—41no—
739#3505—111no—
740C2×#548—111no—
741#3327—111no—
742#3327—111no—
743#3327—111no—
744#3327—111no—
745#3326—111no—
746#3326—111no—
747#3326—111no—
748#3326—111no—
749#3277—111no—
750#3277—111no—
751#3277—111no—
752#3277D1111yescharacteristic, complemented
753#3275—111no—
754#3275—111no—
755#3275—111no—
756#3275—111no—
757#3211—111no—
758#3211—111no—
759#3195—111no—
760#3194—111no—
761#3194—111no—
762#3193—111no—
763#3108—111no—
764#3108—111no—
765#3007—111no—
766#3006—111no—
767#3004—111no—
768#3004—111no—
769#2975—111no—
770C23×C11—21no—
771C23×C11—21no—
772C23×C11C22×D411yescharacteristic
773C23×C11C22×D411yescharacteristic
774C22×D11—22no—
775C22×D11—22no—
776C22×D11—21no—
777C22×D11—21no—
778C22×D11—41no—
779C22×D11—41no—
780C22×D11—41no—
781C22×D11—41no—
782C22×D11—42no—
783C22×D11—42no—
784C22×D11—42no—
785C22×D11—42no—
786C22×D11—81no—
787C22×D11—81no—
788C22×D11C22×D411yescharacteristic
789C22×D11C22×D411yescharacteristic
790C22×D11C22×D411yescharacteristic
791Q8×C11—21no—
792Q8×C11—21no—
793Q8×C11—21no—
794Q8×C11—21no—
795Q8×C11—21no—
796Q8×C11—21no—
797Q8×C11—21no—
798Q8×C11—42no—
799Q8×C11—81no—
800Q8×C11H(5,𝔽2)12yes—
801D4×C11—21no—
802D4×C11—21no—
803D4×C11—21no—
804D4×C11—21no—
805D4×C11—41no—
806D4×C11—42no—
807D4×C11—42no—
808D4×C11—42no—
809D4×C11—81no—
810C2×C4×C11—21no—
811C2×C4×C11—21no—
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—42no—
821C2×C4×C11—42no—
822C2×C4×C11—81no—
823C2×C4×C11—81no—
824C2×C4×C11C22×D411yescharacteristic
825C2×C4×C11C22×D411yescharacteristic
826C2×C4×C11C22×D411yescharacteristic
827C2×C4×C11C22×D411yescharacteristic
828C2×C4×C11C2511yescharacteristic
829C22⋊D11—41no—
830C22⋊D11—41no—
831C22⋊D11—42no—
832C22⋊D11—42no—
833C22⋊D11—42no—
834C22⋊D11—42no—
835C22⋊D11—42no—
836C22⋊D11—42no—
837C22⋊D11—42no—
838C22⋊D11—81no—
839C22⋊D11—81no—
840C22⋊D11—81no—
841C2×Dic11—21no—
842C2×Dic11—21no—
843C2×Dic11—21no—
844C2×Dic11—21no—
845C2×Dic11—21no—
846C2×Dic11—21no—
847C2×Dic11—41no—
848C2×Dic11—41no—
849C2×Dic11—42no—
850C2×Dic11—42no—
851C2×Dic11—81no—
852C2×Dic11—81no—
853C2×Dic11C22×D411yescharacteristic
854C2×Dic11C22×D411yescharacteristic
855C2×Dic11C22×D411yescharacteristic
856C2×Dic11C22×D411yescharacteristic
857C2×Dic11C22×D411yescharacteristic
858D44—21no—
859D44—21no—
860D44—21no—
861D44—21no—
862D44—41no—
863D44—42no—
864D44—42no—
865D44—42no—
866D44—81no—
867C4×D11—24no—
868C4×D11—22no—
869C4×D11—21no—
870C4×D11—21no—
871C4×D11—21no—
872C4×D11—21no—
873C4×D11—21no—
874C4×D11—21no—
875C4×D11—41no—
876C4×D11—41no—
877C4×D11—41no—
878C4×D11—41no—
879C4×D11—41no—
880C4×D11—42no—
881C4×D11—42no—
882C4×D11—42no—
883C4×D11—42no—
884C4×D11—42no—
885C4×D11—42no—
886C4×D11—42no—
887C4×D11—81no—
888C4×D11—81no—
889Dic22—24no—
890Dic22—21no—
891Dic22—21no—
892Dic22—21no—
893Dic22—42no—
894Dic22—42no—
895Dic22—42no—
896Dic22—42no—
897Dic22H(5,𝔽2)12yes—
898C8×C11—21no—
899C8×C11—21no—
900C8×C11—21no—
901C8×C11—21no—
902C11⋊C8—21no—
903C11⋊C8—21no—
904C11⋊C8—21no—
905C11⋊C8—21no—
906C22×#41—111no—
907C23×Q8—111no—
908C2×#137—111no—
909C2×#137—111no—
910C2×#137—111no—
911C2×#137—111no—
912C2×#137C2×D1111yescharacteristic, complemented
913C2×#137C2×D1111yescharacteristic, complemented
914C2×AGL(1,ℤ/8)—111no—
915C2×AGL(1,ℤ/8)—111no—
916#553—111no—
917#553—111no—
918#553—221no—
919#553—221no—
920#552—111no—
921#552—111no—
922#551—221no—
923#551—221no—
924#548—111no—
925#548—111no—
926#548—111no—
927#548—111no—
928#548—111no—
929#548—111no—
930#548—111no—
931#548—111no—
932#548—221no—
933#548—221no—
934#548—221no—
935#548—221no—
936#548C2×D1111yescharacteristic, complemented
937#548C2×D1111yescharacteristic, complemented
938#546—111no—
939#546—111no—
940#539—221no—
941#538—221no—
942#534—221no—
943#529—111no—
944#529—111no—
945C2×#124—111no—
946C2×#124—221no—
947#525—111no—
948#525—111no—
949C2×C22⋊Q8—111no—
950C2×C22⋊Q8—111no—
951C2×C22⋊Q8—221no—
952C2×#121—111no—
953C2×#121—111no—
954C2×#121—221no—
955#518—221no—
956C2×C4×Q8—111no—
957C2×C4×D4—111no—
958C2×C4×D4—221no—
959#495—111no—
960#495—111no—
961#495—111no—
962#495C2×D1111yescharacteristic, complemented
963#488—111no—
964#488—111no—
965#488—111no—
966#488—111no—
967#484—111no—
968#484—111no—
969#483—111no—
970#483—111no—
971#483—111no—
972#483—111no—
973#482—111no—
974#482—111no—
975#482—111no—
976#482—111no—
977#480—111no—
978#480—111no—
979#479—111no—
980#479—111no—
981#479—111no—
982#479—111no—
983#470—111no—
984#470—111no—
985#470—111no—
986#470—111no—
987#469—111no—
988#469—111no—
989#469—111no—
990#469—111no—
991#468—111no—
992#468—111no—
993#468—111no—
994#468—111no—
995#468—111no—
996#468—111no—
997#468C2×D1111yescharacteristic, complemented
998#468C2×D1111yescharacteristic, complemented
999#464—111no—
1000#464—111no—
1001#464—111no—
1002#464—111no—
1003#464—111no—
1004#464—111no—
1005#464C2×D1111yescharacteristic, complemented
1006#464C2×D1111yescharacteristic, complemented
1007#463—111no—
1008#463—111no—
1009#463—111no—
1010#463—111no—
1011#452—111no—
1012#452—111no—
1013#452—111no—
1014#452—111no—
1015#451—111no—
1016#451—111no—
1017#451—111no—
1018#451—111no—
1019#451—111no—
1020#451—111no—
1021#451—111no—
1022#451—111no—
1023#451C2×D1111yescharacteristic, complemented
1024#451C2×D1111yescharacteristic, complemented
1025#450—111no—
1026#450—111no—
1027#450—111no—
1028#450—111no—
1029#449—111no—
1030#449—111no—
1031#449—111no—
1032#449—111no—
1033#449—111no—
1034#449—111no—
1035#449C2×D1111yescharacteristic, complemented
1036#449C2×D1111yescharacteristic, complemented
1037#448—111no—
1038#448—111no—
1039#448—111no—
1040#448—111no—
1041#448—111no—
1042#448—111no—
1043#448—111no—
1044#448—111no—
1045#447—111no—
1046#447—111no—
1047C4×Q16—111no—
1048C4×Q16—111no—
1049C4×Q16—111no—
1050C4×Q16C2×D1111yescharacteristic, complemented
1051C4×SD16—111no—
1052C4×SD16—111no—
1053C4×SD16—111no—
1054C4×SD16—111no—
1055#436—111no—
1056#436—111no—
1057#436—111no—
1058#436—111no—
1059#436—111no—
1060#436—111no—
1061#436—111no—
1062#436C2×D1111yescharacteristic, complemented
1063#431—111no—
1064#431—111no—
1065#419—111no—
1066#419—111no—
1067#419—111no—
1068#419—111no—
1069#417—111no—
1070#417—111no—
1071#417—111no—
1072#417—111no—
1073#407—111no—
1074#407—111no—
1075#407—111no—
1076#407—111no—
1077C22×C11—21no—
1078C22×C11—21no—
1079C22×C11—21no—
1080C22×C11—21no—
1081C22×C11—21no—
1082C22×C11—21no—
1083C22×C11—41no—
1084C22×C11—41no—
1085C22×C11—41no—
1086C22×C11—41no—
1087C22×C11—41no—
1088C22×C11—41no—
1089C22×C11C23×D411yescharacteristic
1090C2×D11—21no—
1091C2×D11—21no—
1092C2×D11—21no—
1093C2×D11—21no—
1094C2×D11—21no—
1095C2×D11—21no—
1096C2×D11—21no—
1097C2×D11—21no—
1098C2×D11—44no—
1099C2×D11—41no—
1100C2×D11—41no—
1101C2×D11—41no—
1102C2×D11—41no—
1103C2×D11—41no—
1104C2×D11—41no—
1105C2×D11—82no—
1106C2×D11—84no—
1107C2×D11—162no—
1108C2×D11#57512yes—
1109C4×C11—21no—
1110C4×C11—21no—
1111C4×C11—21no—
1112C4×C11—22no—
1113C4×C11—21no—
1114C4×C11—41no—
1115C4×C11—41no—
1116C4×C11—41no—
1117C4×C11—41no—
1118C4×C11—41no—
1119C4×C11C2×H(5,𝔽2)11yescharacteristic
1120C4×C11C2×H(5,𝔽2)11yescharacteristic
1121Dic11—21no—
1122Dic11—21no—
1123Dic11—22no—
1124Dic11—21no—
1125Dic11—21no—
1126Dic11—21no—
1127Dic11—41no—
1128Dic11—41no—
1129Dic11—41no—
1130Dic11—41no—
1131Dic11—41no—
1132C2×#41—111no—
1133C2×#41—111no—
1134C2×#41—111no—
1135C2×#41—111no—
1136C2×#41—221no—
1137C2×#41—221no—
1138C2×#41—442no—
1139C2×#41—442no—
1140C2×#41C22×D1111yescharacteristic
1141C2×#41C22×D1111yescharacteristic
1142C22×Q8—111no—
1143C22×Q8—111no—
1144C22×Q8—111no—
1145C22×Q8—111no—
1146C22×Q8—111no—
1147C22×Q8—221no—
1148C22×Q8—221no—
1149C22×Q8—221no—
1150C22×Q8—442no—
1151C22×Q8—442no—
1152C22×Q8C22×D1111yescharacteristic
1153C22×Q8C22×D1111yescharacteristic
1154C22×D4—111no—
1155C22×D4—111no—
1156C22×D4—111no—
1157C22×D4—221no—
1158C22×D4—221no—
1159C22×D4—221no—
1160C23×C4—111no—
1161C23×C4—111no—
1162C23×C4—221no—
1163C23×C4—221no—
1164#137—42no—
1165#137—42no—
1166#137—442no—
1167#137—442no—
1168#137—442no—
1169#137—442no—
1170AGL(1,ℤ/8)—442no—
1171AGL(1,ℤ/8)—442no—
1172C2×Q16—111no—
1173C2×Q16—111no—
1174C2×Q16—111no—
1175C2×Q16—111no—
1176C2×Q16C22×D1111yescharacteristic
1177C2×Q16C22×D1111yescharacteristic
1178C2×Q16C22×D1111yescharacteristic
1179C2×Q16C22×D1111yescharacteristic
1180C2×SD16—111no—
1181C2×SD16—111no—
1182C2×SD16—111no—
1183C2×SD16—111no—
1184C2×SD16—111no—
1185C2×SD16—111no—
1186C2×SD16—111no—
1187C2×SD16—111no—
1188C2×SD16C22×D1111yescharacteristic
1189C2×SD16C22×D1111yescharacteristic
1190C2×SD16C22×D1111yescharacteristic
1191C2×SD16C22×D1111yescharacteristic
1192C2×D8—111no—
1193C2×D8—111no—
1194C2×D8—111no—
1195C2×D8C22×D1111yescharacteristic
1196C2×M16—111no—
1197C2×M16—111no—
1198C2×M16—111no—
1199C2×M16—111no—
1200C2×M16—111no—
1201C2×M16—111no—
1202C2×M16C22×D1111yescharacteristic
1203C2×M16C22×D1111yescharacteristic
1204#126—221no—
1205#126—221no—
1206#126—221no—
1207#126—221no—
1208#126—221no—
1209#126—221no—
1210#125—111no—
1211#125—111no—
1212#125—221no—
1213#125—221no—
1214#124—21no—
1215#124—21no—
1216#124—111no—
1217#124—111no—
1218#124—111no—
1219#124—111no—
1220#124—221no—
1221#124—221no—
1222#124—221no—
1223#124—221no—
1224#124—221no—
1225#124—221no—
1226#124—221no—
1227#124—221no—
1228#124—221no—
1229#124—221no—
1230#124C22×D1111yescharacteristic
1231#124C22×D1111yescharacteristic
1232#123—221no—
1233#123—221no—
1234#123—221no—
1235#123—221no—
1236#123—221no—
1237#123—221no—
1238#123—221no—
1239#123—221no—
1240#123—221no—
1241#123—221no—
1242C22⋊Q8—21no—
1243C22⋊Q8—21no—
1244C22⋊Q8—111no—
1245C22⋊Q8—111no—
1246C22⋊Q8—111no—
1247C22⋊Q8—111no—
1248C22⋊Q8—111no—
1249C22⋊Q8—111no—
1250C22⋊Q8—111no—
1251C22⋊Q8—111no—
1252C22⋊Q8—221no—
1253C22⋊Q8—221no—
1254C22⋊Q8—221no—
1255C22⋊Q8—221no—
1256C22⋊Q8—221no—
1257C22⋊Q8—221no—
1258C22⋊Q8—221no—
1259C22⋊Q8—221no—
1260C22⋊Q8—221no—
1261C22⋊Q8—221no—
1262C22⋊Q8—221no—
1263C22⋊Q8—221no—
1264C22⋊Q8C22×D1111yescharacteristic
1265C22⋊Q8C22×D1111yescharacteristic
1266#121—21no—
1267#121—21no—
1268#121—111no—
1269#121—111no—
1270#121—111no—
1271#121—111no—
1272#121—111no—
1273#121—111no—
1274#121—111no—
1275#121—111no—
1276#121—221no—
1277#121—221no—
1278#121—221no—
1279#121—221no—
1280#121—221no—
1281#121—221no—
1282#121—221no—
1283#121—221no—
1284#121—221no—
1285#121—221no—
1286#121—221no—
1287#121—221no—
1288#121—221no—
1289#121—221no—
1290#121—221no—
1291#121—221no—
1292#121C22×D1111yescharacteristic
1293#121C22×D1111yescharacteristic
1294#120—221no—
1295#120—221no—
1296#120—221no—
1297#120—221no—
1298C4×Q8—111no—
1299C4×Q8—111no—
1300C4×Q8—111no—
1301C4×Q8—111no—
1302C4×Q8—221no—
1303C4×Q8—221no—
1304C4×Q8C22×D1111yescharacteristic
1305C4×Q8C22×D1111yescharacteristic
1306C4×D4—21no—
1307C4×D4—21no—
1308C4×D4—111no—
1309C4×D4—111no—
1310C4×D4—111no—
1311C4×D4—111no—
1312C4×D4—111no—
1313C4×D4—111no—
1314C4×D4—111no—
1315C4×D4—111no—
1316C4×D4—111no—
1317C4×D4—221no—
1318C4×D4—221no—
1319C4×D4—221no—
1320C4×D4—221no—
1321C4×D4—221no—
1322C4×D4—221no—
1323C4×D4—221no—
1324C4×D4—221no—
1325C4×D4—221no—
1326C4×D4—221no—
1327C4×D4—221no—
1328C4×D4—221no—
1329C4×D4—221no—
1330C4×D4—221no—
1331C4×D4—221no—
1332C4×D4—221no—
1333C4×D4C22×D1111yescharacteristic
1334#117—111no—
1335#117—111no—
1336#117—221no—
1337#117—221no—
1338#117—221no—
1339#117—221no—
1340C2×C4⋊C4—111no—
1341C2×C4⋊C4—111no—
1342C2×C4⋊C4—111no—
1343C2×C4⋊C4—111no—
1344C2×C4⋊C4—221no—
1345C2×C4⋊C4—221no—
1346C2×C4⋊C4—221no—
1347C2×C22⋊C4—111no—
1348C2×C22⋊C4—111no—
1349C2×C22⋊C4—221no—
1350C2×C22⋊C4—221no—
1351C2×C22⋊C4—221no—
1352C2×C22⋊C4—221no—
1353C2×C22⋊C4—221no—
1354C2×C22⋊C4—221no—
1355C2×C22⋊C4—221no—
1356C2×C22⋊C4—221no—
1357C2×C42—111no—
1358C2×C42—221no—
1359#107—111no—
1360#107—111no—
1361#107—111no—
1362#107C22×D1111yescharacteristic
1363#106—111no—
1364#106—111no—
1365#106—111no—
1366#106—111no—
1367C4⋊C8—111no—
1368C4⋊C8—111no—
1369C4⋊C8—111no—
1370C4⋊C8C22×D1111yescharacteristic
1371#103—111no—
1372#103—111no—
1373#103—111no—
1374#103—111no—
1375#103—111no—
1376#103—111no—
1377#103—111no—
1378#103—111no—
1379#103—111no—
1380#103—111no—
1381#103—111no—
1382#103—111no—
1383#103—111no—
1384#103—111no—
1385#103—111no—
1386#103—111no—
1387#103C22×D1111yescharacteristic
1388#103C22×D1111yescharacteristic
1389#103C22×D1111yescharacteristic
1390#103C22×D1111yescharacteristic
1391#102—111no—
1392#102—111no—
1393#102—111no—
1394#102—111no—
1395#102—111no—
1396#102—111no—
1397#102—111no—
1398#102—111no—
1399#102—111no—
1400#102—111no—
1401#102C22×D1111yescharacteristic
1402#102C22×D1111yescharacteristic
1403C22⋊C8—111no—
1404C22⋊C8—111no—
1405C22⋊C8—111no—
1406C22⋊C8—111no—
1407C22⋊C8—111no—
1408C22⋊C8—111no—
1409C22⋊C8—111no—
1410C22⋊C8—111no—
1411C22⋊C8—111no—
1412C22⋊C8—111no—
1413C22⋊C8C22×D1111yescharacteristic
1414C22⋊C8C22×D1111yescharacteristic
1415C4×C8—111no—
1416C4×C8—111no—
1417C4×C8—111no—
1418C4×C8C22×D1111yescharacteristic
1419C2×C11—41no—
1420C2×C11—41no—
1421C2×C11—81no—
1422C2×C11—81no—
1423C2×C11#348411yescharacteristic
1424C2×C11C2×#57511yescharacteristic
1425C2×C11#358611yescharacteristic
1426D11—22no—
1427D11—41no—
1428D11—41no—
1429D11—81no—
1430D11—81no—
1431C24—111no—
1432C24—111no—
1433C24—221no—
1434C24—221no—
1435#41—22no—
1436#41—41no—
1437#41—41no—
1438#41—41no—
1439#41—222no—
1440#41—222no—
1441#41—222no—
1442#41—441no—
1443#41—444no—
1444#41—441no—
1445#41—441no—
1446#41—441no—
1447#41—441no—
1448#41—444no—
1449C2×Q8—21no—
1450C2×Q8—21no—
1451C2×Q8—22no—
1452C2×Q8—41no—
1453C2×Q8—41no—
1454C2×Q8—41no—
1455C2×Q8—111no—
1456C2×Q8—111no—
1457C2×Q8—221no—
1458C2×Q8—221no—
1459C2×Q8—221no—
1460C2×Q8—221no—
1461C2×Q8—222no—
1462C2×Q8—222no—
1463C2×Q8—222no—
1464C2×Q8—221no—
1465C2×Q8—222no—
1466C2×Q8—222no—
1467C2×Q8—441no—
1468C2×Q8—444no—
1469C2×Q8—441no—
1470C2×Q8—441no—
1471C2×Q8—441no—
1472C2×Q8—441no—
1473C2×Q8—444no—
1474C2×Q8—444no—
1475C2×Q8C23×D1111yescharacteristic
1476C2×Q8C23×D1111yescharacteristic
1477C2×Q8C23×D1111yescharacteristic
1478C2×Q8C23×D1111yescharacteristic
1479C2×D4—21no—
1480C2×D4—21no—
1481C2×D4—21no—
1482C2×D4—21no—
1483C2×D4—111no—
1484C2×D4—111no—
1485C2×D4—111no—
1486C2×D4—111no—
1487C2×D4—111no—
1488C2×D4—221no—
1489C2×D4—221no—
1490C2×D4—221no—
1491C2×D4—221no—
1492C2×D4—221no—
1493C2×D4—221no—
1494C2×D4—221no—
1495C2×D4—221no—
1496C2×D4—221no—
1497C2×D4—221no—
1498C2×D4—221no—
1499C2×D4—221no—
1500C2×D4—221no—
1501C2×D4—221no—
1502C2×D4—441no—
1503C2×D4—441no—
1504C2×D4—441no—
1505C2×D4—441no—
1506C2×D4—442no—
1507C2×D4—444no—
1508C2×D4—444no—
1509C2×D4—444no—
1510C2×D4D4×D1111yescharacteristic
1511C2×D4C23×D1111yescharacteristic
1512C2×D4C23×D1111yescharacteristic
1513C22×C4—21no—
1514C22×C4—21no—
1515C22×C4—21no—
1516C22×C4—21no—
1517C22×C4—111no—
1518C22×C4—111no—
1519C22×C4—111no—
1520C22×C4—111no—
1521C22×C4—111no—
1522C22×C4—111no—
1523C22×C4—111no—
1524C22×C4—111no—
1525C22×C4—111no—
1526C22×C4—111no—
1527C22×C4—111no—
1528C22×C4—221no—
1529C22×C4—221no—
1530C22×C4—221no—
1531C22×C4—221no—
1532C22×C4—221no—
1533C22×C4—221no—
1534C22×C4—221no—
1535C22×C4—221no—
1536C22×C4—221no—
1537C22×C4—221no—
1538C22×C4—221no—
1539C22×C4—221no—
1540C22×C4—221no—
1541C22×C4—221no—
1542C22×C4—441no—
1543C22×C4—441no—
1544C22×C4—441no—
1545C22×C4—441no—
1546C22×C4—444no—
1547C22×C4—444no—
1548C22×C4C23×D1111yescharacteristic
1549C22×C4C23×D1111yescharacteristic
1550Q16—22no—
1551Q16—22no—
1552Q16—41no—
1553Q16—41no—
1554Q16—222no—
1555Q16—222no—
1556Q16—441no—
1557Q16—441no—
1558SD16—22no—
1559SD16—41no—
1560SD16—41no—
1561SD16—41no—
1562SD16—222no—
1563SD16—222no—
1564SD16—222no—
1565SD16—441no—
1566SD16—441no—
1567SD16—441no—
1568SD16—441no—
1569SD16—441no—
1570D8—41no—
1571D8—441no—
1572D8—441no—
1573D8—441no—
1574M16—41no—
1575M16—41no—
1576M16—441no—
1577M16—441no—
1578M16—441no—
1579M16—441no—
1580M16—441no—
1581M16—441no—
1582C2×C8—111no—
1583C2×C8—111no—
1584C2×C8—111no—
1585C2×C8—111no—
1586C2×C8C23×D1111yescharacteristic
1587C2×C8C23×D1111yescharacteristic
1588C2×C8C23×D1111yescharacteristic
1589C2×C8C23×D1111yescharacteristic
1590C4⋊C4—21no—
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—111no—
1595C4⋊C4—111no—
1596C4⋊C4—111no—
1597C4⋊C4—111no—
1598C4⋊C4—111no—
1599C4⋊C4—111no—
1600C4⋊C4—111no—
1601C4⋊C4—221no—
1602C4⋊C4—221no—
1603C4⋊C4—221no—
1604C4⋊C4—221no—
1605C4⋊C4—221no—
1606C4⋊C4—221no—
1607C4⋊C4—221no—
1608C4⋊C4—221no—
1609C4⋊C4—221no—
1610C4⋊C4—221no—
1611C4⋊C4—221no—
1612C4⋊C4—221no—
1613C4⋊C4—221no—
1614C4⋊C4—221no—
1615C4⋊C4—221no—
1616C4⋊C4—221no—
1617C4⋊C4—221no—
1618C4⋊C4—221no—
1619C4⋊C4—221no—
1620C4⋊C4D4×D1111yescharacteristic
1621C4⋊C4C23×D1111yescharacteristic
1622C4⋊C4C23×D1111yescharacteristic
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—21no—
1627C22⋊C4—21no—
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—111no—
1632C22⋊C4—111no—
1633C22⋊C4—111no—
1634C22⋊C4—111no—
1635C22⋊C4—111no—
1636C22⋊C4—111no—
1637C22⋊C4—221no—
1638C22⋊C4—221no—
1639C22⋊C4—221no—
1640C22⋊C4—221no—
1641C22⋊C4—221no—
1642C22⋊C4—221no—
1643C22⋊C4—221no—
1644C22⋊C4—221no—
1645C22⋊C4—221no—
1646C22⋊C4—221no—
1647C22⋊C4—221no—
1648C22⋊C4—221no—
1649C22⋊C4—221no—
1650C22⋊C4—221no—
1651C22⋊C4—221no—
1652C22⋊C4—221no—
1653C22⋊C4—221no—
1654C22⋊C4—221no—
1655C22⋊C4—221no—
1656C22⋊C4—221no—
1657C22⋊C4—221no—
1658C22⋊C4—221no—
1659C22⋊C4—221no—
1660C22⋊C4—221no—
1661C22⋊C4—221no—
1662C22⋊C4—221no—
1663C22⋊C4—221no—
1664C22⋊C4—221no—
1665C22⋊C4D4×D1111yescharacteristic
1666C22⋊C4D4×D1111yescharacteristic
1667C42—21no—
1668C42—21no—
1669C42—111no—
1670C42—111no—
1671C42—111no—
1672C42—221no—
1673C42—221no—
1674C42—221no—
1675C42—221no—
1676C42—221no—
1677C42—221no—
1678C42C23×D1111yescharacteristic
1679C11#6158311yescharacteristic, complemented, Sylow
1680C23—21no—
1681C23—21no—
1682C23—111no—
1683C23—111no—
1684C23—111no—
1685C23—222no—
1686C23—222no—
1687C23—221no—
1688C23—221no—
1689C23—441no—
1690C23—441no—
1691C23—441no—
1692C23—441no—
1693C23—442no—
1694C23—442no—
1695C23—442no—
1696C23—442no—
1697C23—881no—
1698C23—881no—
1699C23C2×D4×D1111yescharacteristic
1700C23C2×D4×D1111yescharacteristic
1701Q8—21no—
1702Q8—21no—
1703Q8—21no—
1704Q8—21no—
1705Q8—21no—
1706Q8—21no—
1707Q8—21no—
1708Q8—42no—
1709Q8—81no—
1710Q8—112no—
1711Q8—224no—
1712Q8—221no—
1713Q8—221no—
1714Q8—221no—
1715Q8—442no—
1716Q8—442no—
1717Q8—442no—
1718Q8—442no—
1719Q8#6703712yes—
1720D4—21no—
1721D4—21no—
1722D4—21no—
1723D4—21no—
1724D4—41no—
1725D4—42no—
1726D4—42no—
1727D4—42no—
1728D4—81no—
1729D4—221no—
1730D4—221no—
1731D4—221no—
1732D4—221no—
1733D4—441no—
1734D4—442no—
1735D4—442no—
1736D4—442no—
1737D4—441no—
1738D4—441no—
1739D4—442no—
1740D4—442no—
1741D4—442no—
1742D4—442no—
1743D4—442no—
1744D4—442no—
1745D4—442no—
1746D4—881no—
1747D4—881no—
1748D4—881no—
1749D4—881no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—42no—
1761C2×C4—42no—
1762C2×C4—81no—
1763C2×C4—81no—
1764C2×C4—111no—
1765C2×C4—111no—
1766C2×C4—111no—
1767C2×C4—111no—
1768C2×C4—111no—
1769C2×C4—222no—
1770C2×C4—224no—
1771C2×C4—221no—
1772C2×C4—221no—
1773C2×C4—221no—
1774C2×C4—221no—
1775C2×C4—221no—
1776C2×C4—221no—
1777C2×C4—221no—
1778C2×C4—221no—
1779C2×C4—221no—
1780C2×C4—221no—
1781C2×C4—221no—
1782C2×C4—221no—
1783C2×C4—441no—
1784C2×C4—441no—
1785C2×C4—441no—
1786C2×C4—441no—
1787C2×C4—441no—
1788C2×C4—442no—
1789C2×C4—442no—
1790C2×C4—442no—
1791C2×C4—442no—
1792C2×C4—442no—
1793C2×C4—442no—
1794C2×C4—442no—
1795C2×C4—441no—
1796C2×C4—441no—
1797C2×C4—442no—
1798C2×C4—442no—
1799C2×C4—881no—
1800C2×C4—881no—
1801C2×C4—881no—
1802C2×C4—881no—
1803C2×C4C2×D4×D1111yescharacteristic
1804C2×C4C2×D4×D1111yescharacteristic
1805C2×C4C2×D4×D1111yescharacteristic
1806C2×C4C2×D4×D1111yescharacteristic
1807C2×C4C24×D1111yescharacteristic
1808C8—21no—
1809C8—21no—
1810C8—21no—
1811C8—21no—
1812C8—221no—
1813C8—221no—
1814C8—221no—
1815C8—221no—
1816C22—21no—
1817C22—21no—
1818C22—21no—
1819C22—21no—
1820C22—21no—
1821C22—21no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—112no—
1829C22—221no—
1830C22—221no—
1831C22—221no—
1832C22—221no—
1833C22—221no—
1834C22—221no—
1835C22—221no—
1836C22—221no—
1837C22—444no—
1838C22—441no—
1839C22—441no—
1840C22—441no—
1841C22—441no—
1842C22—441no—
1843C22—441no—
1844C22—882no—
1845C22—884no—
1846C22—1762no—
1847C22C22×D4×D1111yescharacteristic
1848C4—21no—
1849C4—21no—
1850C4—21no—
1851C4—22no—
1852C4—21no—
1853C4—41no—
1854C4—41no—
1855C4—41no—
1856C4—41no—
1857C4—41no—
1858C4—221no—
1859C4—221no—
1860C4—221no—
1861C4—221no—
1862C4—222no—
1863C4—221no—
1864C4—441no—
1865C4—441no—
1866C4—441no—
1867C4—441no—
1868C4—441no—
1869C4C2×#6703711yescharacteristic
1870C4D11×H(5,𝔽2)11yescharacteristic
1871C2—41no—
1872C2—41no—
1873C2—81no—
1874C2—81no—
1875C2—222no—
1876C2—441no—
1877C2—441no—
1878C2—881no—
1879C2—881no—
1880C2#1308224411yescharacteristic
1881C2D11×#57511yescharacteristic
1882C2#1308340111yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3277C2
socleC22×C11C23×D4
hypercenter#3277D11
hypocenterC11#61583
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3277

Complements

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

NH ≅ G/Ntype
1. #13082452C2semidirect
2. D11×#548C2semidirect
3. #13080891C2semidirect
4. #13080890C2semidirect
5. #13080889C2semidirect
6. #13080888C2semidirect
7. #13080871C2semidirect
8. #13080869C2semidirect
9. #13080864C2semidirect
10. #13080862C2semidirect
11. #13080273C2semidirect
12. #13080269C2semidirect
13. #13080267C2semidirect
14. #13080246C2semidirect
15. #13080245C2semidirect
16. #13080242C2semidirect
17. #13080241C2semidirect
18. #13079585C2semidirect
19. #13079576C2semidirect
20. #13079438C2semidirect
21. #13079431C2semidirect
22. #13079428C2semidirect
23. #13079417C2semidirect
24. #13078700C2semidirect
25. #13078695C2semidirect
26. #13077872C2semidirect
27. #13077865C2semidirect
28. #13077851C2semidirect
29. #13077848C2semidirect
30. #13077654C2semidirect
31. C11×#3277C2semidirect
33. C22×Q8×D11C22semidirect
34. C2×C11×#137C22semidirect
35. C2×C11×#137C22semidirect
36. C11×#548C22semidirect
37. C11×#548C22semidirect
38. #10623362C22semidirect
39. #10623360C22semidirect
41. C2×#67004C22semidirect
43. #10623348C22semidirect
45. C2×#66995C22semidirect
46. C2×#66971C22semidirect
47. C2×#66971C22semidirect
48. C2×#66967C22semidirect
49. C2×#66964C22semidirect
55. #10623207C22semidirect
57. D11×#124C22semidirect
58. #10623170C22semidirect
62. #10623164C22semidirect
66. #10623149C22semidirect
70. D11×#121C22semidirect
74. #10623112C22semidirect
77. C4×Q8×D11C22semidirect
78. #10623096C22semidirect
80. #10623083C22semidirect
85. C11×#495C22semidirect
86. C11×#468C22semidirect
87. C11×#468C22semidirect
88. C11×#464C22semidirect
89. C11×#464C22semidirect
90. C11×#451C22semidirect
91. C11×#451C22semidirect
92. C11×#449C22semidirect
93. C11×#449C22semidirect
94. C4×C11×Q16C22semidirect
95. C11×#436C22semidirect
96. #10622851C22semidirect
97. #10622851C22semidirect
98. #10622845C22semidirect
99. #10622841C22semidirect
100. #10622840C22semidirect
101. #10622838C22semidirect
102. #10622804C22semidirect
103. #10622802C22semidirect
104. #10622802C22semidirect
105. #10622800C22semidirect
106. #10622800C22semidirect
107. #10622799C22semidirect
108. #10622799C22semidirect
109. #10622799C22semidirect
110. #10622799C22semidirect
111. #10622799C22semidirect
112. #10622799C22semidirect
113. #10622798C22semidirect
114. #10622798C22semidirect
115. Q16×Dic11C22semidirect
116. #10622787C22semidirect
117. #10622786C22semidirect
118. #10622786C22semidirect
119. #10622785C22semidirect
122. #10622783C22semidirect
123. #10622783C22semidirect
124. #10622782C22semidirect
125. #10622782C22semidirect
126. #10622782C22semidirect
127. #10622781C22semidirect
128. #10622779C22semidirect
129. #10622778C22semidirect
130. SD16×Dic11C22semidirect
131. #10622772C22semidirect
133. #10622766C22semidirect
134. #10622748C22semidirect
135. #10622747C22semidirect
136. #10622746C22semidirect
137. #10622741C22semidirect
138. #10622741C22semidirect
140. #10622739C22semidirect
141. #10622733C22semidirect
142. #10622672C22semidirect
143. #10622670C22semidirect
144. #10622669C22semidirect
145. #10622667C22semidirect
146. #10622663C22semidirect
147. #10622662C22semidirect
148. #10622662C22semidirect
149. #10622656C22semidirect
150. #10622655C22semidirect
151. #10622652C22semidirect
152. #10622650C22semidirect
153. #10622648C22semidirect
154. C4×#4326C22semidirect
155. #10622641C22semidirect
156. C4×#4325C22semidirect
157. #10622635C22semidirect
158. #10622625C22semidirect
159. #10622498C22semidirect
160. #10622497C22semidirect
162. #10622490C22semidirect
163. #10622457C22semidirect
164. #10622451C22semidirect
165. #10622446C22semidirect
166. #10622442C22semidirect
167. #10622429C22semidirect
168. #10622429C22semidirect
169. #10622425C22semidirect
170. #10622424C22semidirect
171. #10622422C22semidirect
174. #10622418C22semidirect
175. #10622418C22semidirect
176. #10622416C22semidirect
177. #10622415C22semidirect
178. #10622415C22semidirect
179. #10622413C22semidirect
180. #10622412C22semidirect
181. #10622411C22semidirect
182. #10622403C22semidirect
183. #10622395C22semidirect
184. #10622392C22semidirect
185. #10622389C22semidirect
188. #10622384C22semidirect
189. #10622381C22semidirect
190. #10622371C22semidirect
191. #10622351C22semidirect
192. #10622350C22semidirect
193. #10622347C22semidirect
194. #10622342C22semidirect
195. #10622342C22semidirect
197. #10622339C22semidirect
198. #10622334C22semidirect
199. #10622310C22semidirect
200. C4×#4314C22semidirect
201. #10622301C22semidirect
202. #10622298C22semidirect
752. #3277D11semidirect
912. C2×#137C2×D11semidirect
913. C2×#137C2×D11semidirect
936. #548C2×D11semidirect
937. #548C2×D11semidirect
962. #495C2×D11semidirect
997. #468C2×D11semidirect
998. #468C2×D11semidirect
1005. #464C2×D11semidirect
1006. #464C2×D11semidirect
1023. #451C2×D11semidirect
1024. #451C2×D11semidirect
1035. #449C2×D11semidirect
1036. #449C2×D11semidirect
1050. C4×Q16C2×D11semidirect
1062. #436C2×D11semidirect
1679. C11#61583semidirect

Maximal subgroups

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

subgroupindex
#130824522
D11×#5482
#130808912
#130808902
#130808892
#130808882
#130808712
#130808692
#130808642
#130808622
#130802732
#130802692
#130802672
#130802462
#130802452
#130802422
#130802412
#130795852
#130795762
#130794382
#130794312
#130794282
#130794172
#130787002
#130786952
#130778722
#130778652
#130778512
#130778482
#130776542
C11×#32772
#6158311