Finite Group Databasebeta

← #15639260

Subgroups — #15639260

Order 2816.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082456C211yesmaximal, characteristic, complemented
2#13082106C211yesmaximal, characteristic, complemented
3#13080885C211yesmaximal, characteristic, complemented
4#13080835C211yesmaximal, characteristic, complemented
5#13080784C211yesmaximal, characteristic, complemented
6#13080756C211yesmaximal, characteristic, complemented
7#13080706C211yesmaximal, characteristic, complemented
8#13080519C211yesmaximal, characteristic, complemented
9#13080469C211yesmaximal, characteristic, complemented
10#13080355C211yesmaximal, characteristic, complemented
11#13080330C211yesmaximal, characteristic, complemented
12#13080240C211yesmaximal, characteristic, complemented
13#13080224C211yesmaximal, characteristic, complemented
14#13080188C211yesmaximal, characteristic, complemented
15#13080157C211yesmaximal, characteristic, complemented
16#13080146C211yesmaximal, characteristic, complemented
17#13080106C211yesmaximal, characteristic, complemented
18#13079654C211yesmaximal, characteristic, complemented
19#13079596C211yesmaximal, characteristic, complemented
20#13079456C211yesmaximal, characteristic, complemented
21#13079441C211yesmaximal, characteristic, complemented
22#13079405C211yesmaximal, characteristic, complemented
23#13079380C211yesmaximal, characteristic, complemented
24#13078731C211yesmaximal, characteristic, complemented
25#13078641C211yesmaximal, characteristic, complemented
26#13077869C211yesmaximal, characteristic, complemented
27#13077859C211yesmaximal, characteristic, complemented
28#13077836C211yesmaximal, characteristic, complemented
29D11×#452C211yesmaximal, characteristic, complemented
30#13077646C211yesmaximal, characteristic, complemented
31C11×#3317C211yesmaximal, characteristic, complemented
32C2×#41×D11C2211yescharacteristic
33C2×#41×D11C2211yescharacteristic, complemented
34C11×#552C2211yescharacteristic, complemented
35C11×#550C2211yescharacteristic
36#10623362C2211yescharacteristic
37#10623362C2211yescharacteristic, complemented
38C2×#67003C2211yescharacteristic, complemented
39C2×#67002C2211yescharacteristic, complemented
40C2×#66971C2211yescharacteristic, complemented
41C2×Q16×D11C2211yescharacteristic, complemented
42C2×#66967C2211yescharacteristic, complemented
43C2×SD16×D11C2211yescharacteristic, complemented
44C2×#66961C2211yescharacteristic, complemented
45C2×#66957C2211yescharacteristic, complemented
46#10623248—21no—
47#10623248C2211yescharacteristic, complemented
48#10623247—21no—
49#10623247C2211yescharacteristic, complemented
50#10623240—21no—
51#10623235—21no—
52#10623226—21no—
53#10623226C2211yescharacteristic
54#10623223—21no—
55#10623222C2211yescharacteristic, complemented
56#10623189—21no—
57#10623184—21no—
58#10623164C2211yescharacteristic, complemented
59#10623161C2211yescharacteristic, complemented
60#10623158C2211yescharacteristic, complemented
61D11×C22⋊Q8C2211yescharacteristic, complemented
62#10623143—21no—
63#10623143—21no—
64#10623143C2211yescharacteristic
65#10623143C2211yescharacteristic, complemented
66#10623137—21no—
67#10623137—21no—
68#10623137C2211yescharacteristic
69#10623137C2211yescharacteristic, complemented
70#10623111C2211yescharacteristic, complemented
71#10623107C2211yescharacteristic
72Q8×D44C2211yescharacteristic, complemented
73C4×#4343C2211yescharacteristic, complemented
74#10623082—21no—
75#10623082C2211yescharacteristic
76#10623081C2211yescharacteristic, complemented
77C4×D4×D11—21no—
78C4×D4×D11C2211yescharacteristic
79#10623061C2211yescharacteristic, complemented
80#10623058—21no—
81#10623055C2211yescharacteristic, complemented
82#10623052—21no—
83#10623044C2211yescharacteristic, complemented
84C2×#66948C2211yescharacteristic, complemented
85C11×#490C2211yescharacteristic, complemented
86C11×#482C2211yescharacteristic, complemented
87C11×#481C2211yescharacteristic, complemented
88C11×#479C2211yescharacteristic, complemented
89C11×#468C2211yescharacteristic, complemented
90C11×#465C2211yescharacteristic, complemented
91C11×#460C2211yescharacteristic, complemented
92C11×#452C2211yescharacteristic, complemented
93C11×#452C2211yescharacteristic, complemented
94C11×#441C2211yescharacteristic, complemented
95C11×#435C2211yescharacteristic, complemented
96C11×#417C2211yescharacteristic, complemented
97C11×#416C2211yescharacteristic, complemented
98#10622852C2211yescharacteristic, complemented
99#10622851C2211yescharacteristic, complemented
100#10622800C2211yescharacteristic, complemented
101#10622798C2211yescharacteristic, complemented
102#10622786C2211yescharacteristic, complemented
103#10622786C2211yescharacteristic, complemented
104#10622785C2211yescharacteristic, complemented
105#10622783C2211yescharacteristic, complemented
106#10622781C2211yescharacteristic, complemented
107#10622781C2211yescharacteristic, complemented
108#10622750C2211yescharacteristic, complemented
109#10622741C2211yescharacteristic, complemented
110#10622739C2211yescharacteristic, complemented
111#10622727C2211yescharacteristic, complemented
112C8×C22⋊D11C2211yescharacteristic, complemented
113C2×(C2×D11)⋊C8C2211yescharacteristic, complemented
114#10622687C2211yescharacteristic, complemented
115#10622685C2211yescharacteristic, complemented
116#10622682C2211yescharacteristic, complemented
117#10622679C2211yescharacteristic, complemented
118#10622665C2211yescharacteristic, complemented
119#10622664C2211yescharacteristic, complemented
120#10622660C2211yescharacteristic, complemented
121#10622660C2211yescharacteristic, complemented
122#10622655C2211yescharacteristic, complemented
123#10622651C2211yescharacteristic, complemented
124#10622650C2211yescharacteristic, complemented
125#10622649C2211yescharacteristic, complemented
126#10622644C2211yescharacteristic, complemented
127#10622641C2211yescharacteristic, complemented
128#10622639C2211yescharacteristic, complemented
129#10622639C2211yescharacteristic, complemented
130#10622624C2211yescharacteristic, complemented
131#10622615C2211yescharacteristic, complemented
132#10622609C2211yescharacteristic, complemented
133#10622583C2211yescharacteristic, complemented
134#10622579C2211yescharacteristic, complemented
135#10622501C2211yescharacteristic, complemented
136#10622499C2211yescharacteristic, complemented
137#10622497C2211yescharacteristic, complemented
138#10622485C2211yescharacteristic, complemented
139#10622484C2211yescharacteristic, complemented
140#10622481C2211yescharacteristic, complemented
141#10622480C2211yescharacteristic, complemented
142#10622479C2211yescharacteristic, complemented
143#10622479C2211yescharacteristic, complemented
144#10622477C2211yescharacteristic, complemented
145#10622477C2211yescharacteristic, complemented
146#10622465C2211yescharacteristic, complemented
147#10622457C2211yescharacteristic, complemented
148#10622454C2211yescharacteristic, complemented
149#10622449C2211yescharacteristic, complemented
150#10622446C2211yescharacteristic, complemented
151#10622432C2211yescharacteristic, complemented
152#10622428C2211yescharacteristic, complemented
153#10622424C2211yescharacteristic
154#10622424C2211yescharacteristic
155#10622423C2211yescharacteristic, complemented
156#10622423C2211yescharacteristic, complemented
157#10622421C2211yescharacteristic, complemented
158#10622421C2211yescharacteristic, complemented
159#10622419C2211yescharacteristic, complemented
160#10622419C2211yescharacteristic, complemented
161#10622419C2211yescharacteristic, complemented
162#10622415C2211yescharacteristic, complemented
163D11×#103C2211yescharacteristic, complemented
164#10622412C2211yescharacteristic, complemented
165#10622403C2211yescharacteristic, complemented
166#10622401C2211yescharacteristic, complemented
167#10622400C2211yescharacteristic, complemented
168#10622400C2211yescharacteristic, complemented
169#10622396C2211yescharacteristic, complemented
170#10622396C2211yescharacteristic, complemented
171#10622395C2211yescharacteristic, complemented
172#10622394C2211yescharacteristic, complemented
173#10622394C2211yescharacteristic, complemented
174#10622394C2211yescharacteristic, complemented
175#10622394C2211yescharacteristic, complemented
176#10622393C2211yescharacteristic, complemented
177#10622392C2211yescharacteristic, complemented
178#10622390C2211yescharacteristic, complemented
179#10622389C2211yescharacteristic, complemented
180#10622388C2211yescharacteristic, complemented
181#10622388C2211yescharacteristic, complemented
182#10622386C2211yescharacteristic, complemented
183#10622386C2211yescharacteristic, complemented
184#10622386C2211yescharacteristic, complemented
185#10622383C2211yescharacteristic, complemented
186D11×#102C2211yescharacteristic, complemented
187#10622381C2211yescharacteristic, complemented
188#10622381C2211yescharacteristic, complemented
189#10622380C2211yescharacteristic, complemented
190#10622380C2211yescharacteristic, complemented
191#10622347C2211yescharacteristic, complemented
192#10622346C2211yescharacteristic, complemented
193#10622346C2211yescharacteristic, complemented
194#10622344C2211yescharacteristic, complemented
195#10622342C2211yescharacteristic, complemented
196#10622339C2211yescharacteristic, complemented
197(C22⋊D11)⋊C8C2211yescharacteristic, complemented
198D11×C22⋊C8C2211yescharacteristic, complemented
199#10622328C2211yescharacteristic, complemented
200#10622324C2211yescharacteristic, complemented
201#10622319C2211yescharacteristic, complemented
202#10622318C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C2×C11×#41C2311yescharacteristic
205#41×D11—42no—
206#41×D11—42no—
207#41×D11—42no—
208#41×D11—42no—
209C2×#4343C2311yescharacteristic
210C2×#4343C2311yescharacteristic
211C2×Q8×D11C2311yescharacteristic
212C2×Q8×D11C2311yescharacteristic
213C2×Q8×D11C2311yescharacteristic
214C2×#4341—21no—
215C2×#4341—21no—
216C2×#4341C2311yescharacteristic
217C2×#4341C2311yescharacteristic
218C2×D4×D11—21no—
219C2×D4×D11—21no—
220C2×D4×D11—21no—
221C2×D4×D11D411yescharacteristic
222C2×D4×D11C2311yescharacteristic
223C2×D4×D11C2311yescharacteristic
224C2×#4339—21no—
225C2×#4339—21no—
226C2×#4339C2311yescharacteristic
227C2×#4339C2311yescharacteristic
228C2×#4339C2311yescharacteristic
229C22×D44—21no—
230C22×D44C2311yescharacteristic
231C22×C4×D11—21no—
232C22×C4×D11—21no—
233C22×C4×D11C2311yescharacteristic
234C22×C4×D11C2311yescharacteristic
235C2×C11×Q16C2311yescharacteristic
236C2×C11×SD16C2311yescharacteristic
237C2×C11×SD16C2311yescharacteristic
238C2×C11×M16C2311yescharacteristic
239C22×C8×C11C2311yescharacteristic
240C11×#127—21no—
241C11×#127C2311yescharacteristic
242C11×#126—21no—
243C11×#125—21no—
244C11×#125C2311yescharacteristic
245C11×#123—21no—
246C11×C22⋊Q8C2311yescharacteristic
247C11×C22⋊Q8C2311yescharacteristic
248C11×#121—21no—
249C11×#121—21no—
250C11×#121C2311yescharacteristic
251C11×#121C2311yescharacteristic
252C4×Q8×C11C2311yescharacteristic
253C4×Q8×C11C2311yescharacteristic
254C4×D4×C11—21no—
255C4×D4×C11C2311yescharacteristic
256C11×#117—21no—
257C11×#117C2311yescharacteristic
258C2×C11×C4⋊C4C2311yescharacteristic
259#67003—42no—
260#67002—42no—
261#67000C2311yescharacteristic
262#66999C2311yescharacteristic
263Q8×Dic11C2311yescharacteristic
264C2×#4326C2311yescharacteristic
265C2×#4326C2311yescharacteristic
266C2×#4326C2311yescharacteristic
267C2×#4325C2311yescharacteristic
268C2×#4325C2311yescharacteristic
269C2×#4325C2311yescharacteristic
270#66991—21no—
271#66991—21no—
272#66991—21no—
273#66991—21no—
274#66991—21no—
275#66991—21no—
276#66991—21no—
277#66991—21no—
278#66991C2311yescharacteristic
279#66991C2311yescharacteristic
280#66990—21no—
281#66990—21no—
282#66990—21no—
283#66990—21no—
284#66990—21no—
285#66990—21no—
286#66990—21no—
287#66989—21no—
288#66989—21no—
289#66989C2311yescharacteristic
290#66989C2311yescharacteristic
291D4×Dic11—21no—
292D4×Dic11—21no—
293D4×Dic11—21no—
294D4×Dic11—21no—
295D4×Dic11D411yescharacteristic
296C2×#4324C2311yescharacteristic
297C2×#4324C2311yescharacteristic
298C2×#4323C2311yescharacteristic
299C2×#4323C2311yescharacteristic
300C2×#4323C2311yescharacteristic
301C2×#4323C2311yescharacteristic
302#66983C2311yescharacteristic
303#66982—21no—
304C4×C22⋊D11—21no—
305C4×C22⋊D11—21no—
306C4×C22⋊D11C2311yescharacteristic
307C4×C22⋊D11C2311yescharacteristic
308C2×(C2×D11)⋊C4—21no—
309#66979—21no—
310#66977—21no—
311#66977—21no—
312#66977C2311yescharacteristic
313#66977C2311yescharacteristic
314#66977C2311yescharacteristic
315C2×#4318C2311yescharacteristic
316C22×C11⋊C8C2311yescharacteristic
317#66971—42no—
318Q16×D11—42no—
319#66967—42no—
320SD16×D11—42no—
321#66961—42no—
322C2×Dic44C2311yescharacteristic
323C2×Dic44C2311yescharacteristic
324#66957—42no—
325C2×D88C2311yescharacteristic
326C2×D88C2311yescharacteristic
327C2×#4314C2311yescharacteristic
328C2×#4314C2311yescharacteristic
329C2×#4314C2311yescharacteristic
330C2×#4314C2311yescharacteristic
331C2×#4314C2311yescharacteristic
332C2×#4313C2311yescharacteristic
333C2×#4313C2311yescharacteristic
334C2×C8×D11C2311yescharacteristic
335C2×C8×D11C2311yescharacteristic
336#66951—21no—
337#66951—21no—
338#66951—21no—
339#66951—21no—
340#66950—21no—
341#66950—21no—
342#66950—21no—
343#66950C2311yescharacteristic
344#66950C2311yescharacteristic
345#66950C2311yescharacteristic
346#66950C2311yescharacteristic
347#66949—21no—
348#66949—21no—
349#66948—21no—
350#66948—21no—
351#66948—21no—
352#66948—21no—
353#66948—21no—
354#66948C2311yescharacteristic
355#66948C2311yescharacteristic
356#66948C2311yescharacteristic
357#66948C2311yescharacteristic
358#66948C2311yescharacteristic
359#66947—21no—
360#66947—21no—
361#66947—21no—
362#66947—21no—
363#66947—21no—
364#66947—21no—
365#66946—21no—
366#66946—21no—
367#66946—21no—
368#66946—21no—
369#66946—21no—
370#66946D411yescharacteristic
371#66946C2311yescharacteristic
372#66946C2311yescharacteristic
373#66945—21no—
374#66945—21no—
375#66945C2311yescharacteristic
376#66945C2311yescharacteristic
377C4⋊C4×D11—21no—
378C4⋊C4×D11—21no—
379C4⋊C4×D11D411yescharacteristic
380C4⋊C4×D11C2311yescharacteristic
381#66943C2311yescharacteristic
382#66942—21no—
383#66940C2311yescharacteristic
384#66939—21no—
385#66938—21no—
386#66937—21no—
387#66937—21no—
388#66937—21no—
389#66936—21no—
390#66936—21no—
391#66936—21no—
392#66936—21no—
393#66936—21no—
394#66936—21no—
395#66936—21no—
396#66935—21no—
397#66935—21no—
398#66935—21no—
399(C22⋊D11)⋊C4—21no—
400(C22⋊D11)⋊C4—21no—
401(C22⋊D11)⋊C4—21no—
402(C22⋊D11)⋊C4D411yescharacteristic
403(C22⋊D11)⋊C4D411yescharacteristic
404C22⋊C4×D11—21no—
405C22⋊C4×D11—21no—
406C22⋊C4×D11—21no—
407C22⋊C4×D11—21no—
408C22⋊C4×D11—21no—
409C22⋊C4×D11D411yescharacteristic
410C22⋊C4×D11D411yescharacteristic
411#66931—21no—
412#66929—21no—
413#66928—21no—
414#66928C2311yescharacteristic
415C4×D44—21no—
416C4×D44—21no—
417C4×D44—21no—
418C4×D44—21no—
419C4×D44—21no—
420C4×D44—21no—
421C4×D44—21no—
422C4×D44C2311yescharacteristic
423C4×D44C2311yescharacteristic
424C4×D44C2311yescharacteristic
425#66925—21no—
426C42×D11—21no—
427C42×D11C2311yescharacteristic
428#66922—21no—
429#66922C2311yescharacteristic
430C11×#107C2311yescharacteristic
431C11×#106C2311yescharacteristic
432C11×#106C2311yescharacteristic
433C11×C4⋊C8C2311yescharacteristic
434C11×#103C2311yescharacteristic
435C11×#103C2311yescharacteristic
436C11×#103C2311yescharacteristic
437C11×#103C2311yescharacteristic
438C11×#102C2311yescharacteristic
439C11×#102C2311yescharacteristic
440C11×#102C2311yescharacteristic
441C11×#102C2311yescharacteristic
442C11×#102C2311yescharacteristic
443C11×#102C2311yescharacteristic
444C11×C22⋊C8C2311yescharacteristic
445C11×C22⋊C8C2311yescharacteristic
446C11×#97C2311yescharacteristic
447#66899C2311yescharacteristic
448#66899C2311yescharacteristic
449#66896C2311yescharacteristic
450#66896C2311yescharacteristic
451C22⋊(C11⋊C8)C2311yescharacteristic
452C22⋊(C11⋊C8)C2311yescharacteristic
453#66885C2311yescharacteristic
454#66885C2311yescharacteristic
455#66885C2311yescharacteristic
456(C2×D11)⋊C8C2311yescharacteristic
457(C2×D11)⋊C8C2311yescharacteristic
458(C2×D11)⋊C8C2311yescharacteristic
459(C2×D11)⋊C8C2311yescharacteristic
460(C2×D11)⋊C8C2311yescharacteristic
461(C2×D11)⋊C8C2311yescharacteristic
462(C2×D11)⋊C8C2311yescharacteristic
463(C2×D11)⋊C8C2311yescharacteristic
464#66881C2311yescharacteristic
465#66880C2311yescharacteristic
466#66880C2311yescharacteristic
467#66880C2311yescharacteristic
468Dic11⋊C8C2311yescharacteristic
469Dic11⋊C8C2311yescharacteristic
470C8×Dic11C2311yescharacteristic
471C8×Dic11C2311yescharacteristic
472#66874C2311yescharacteristic
473#66874C2311yescharacteristic
474#66874C2311yescharacteristic
475#66874C2311yescharacteristic
476#66874C2311yescharacteristic
477#66874C2311yescharacteristic
478#66874C2311yescharacteristic
479#66873C2311yescharacteristic
480#66873C2311yescharacteristic
481#66873C2311yescharacteristic
482#66873C2311yescharacteristic
483#66873C2311yescharacteristic
484#66872C2311yescharacteristic
485#66871C2311yescharacteristic
486#66871C2311yescharacteristic
487#66871C2311yescharacteristic
488C4⋊(C11⋊C8)C2311yescharacteristic
489#66867C2311yescharacteristic
490#61606—111nomaximal, Sylow
491C23×D11—21no—
492C23×D11—21no—
493C23×D11—21no—
494C23×D11C2×D411yescharacteristic
495C23×D11C2×D411yescharacteristic
496C11×#41—22no—
497C11×#41—22no—
498C11×#41—41no—
499C11×#41—41no—
500C2×Q8×C11C2411yescharacteristic
501C2×Q8×C11C2411yescharacteristic
502C2×D4×C11—21no—
503C2×D4×C11—21no—
504C2×D4×C11—21no—
505C2×D4×C11—21no—
506C2×D4×C11—21no—
507C2×D4×C11—21no—
508C2×D4×C11C2×D411yescharacteristic
509C2×D4×C11C2411yescharacteristic
510C2×D4×C11C2411yescharacteristic
511C22×C4×C11—21no—
512C22×C4×C11—21no—
513C22×C4×C11—21no—
514C22×C4×C11C2411yescharacteristic
515C22×C4×C11C2411yescharacteristic
516C2×C22⋊D11—21no—
517C2×C22⋊D11—21no—
518C2×C22⋊D11—21no—
519C2×C22⋊D11—21no—
520C2×C22⋊D11—21no—
521C2×C22⋊D11—21no—
522C2×C22⋊D11—21no—
523C2×C22⋊D11—21no—
524C2×C22⋊D11—21no—
525C2×C22⋊D11—21no—
526C2×C22⋊D11C2×D411yescharacteristic
527C2×C22⋊D11C2×D411yescharacteristic
528C22×Dic11—21no—
529C22×Dic11—21no—
530C22×Dic11C2×D411yescharacteristic
531C22×Dic11C2×D411yescharacteristic
532#4343—22no—
533#4343—22no—
534#4343—41no—
535#4343—41no—
536Q8×D11—22no—
537Q8×D11—22no—
538Q8×D11—41no—
539Q8×D11—41no—
540Q8×D11—41no—
541Q8×D11—41no—
542#4341—41no—
543#4341—41no—
544#4341—41no—
545#4341—41no—
546#4341—44no—
547#4341—44no—
548D4×D11—22no—
549D4×D11—22no—
550D4×D11—41no—
551D4×D11—41no—
552D4×D11—42no—
553D4×D11—44no—
554D4×D11—44no—
555D4×D11—44no—
556#4339—22no—
557#4339—22no—
558#4339—41no—
559#4339—41no—
560#4339—41no—
561#4339—41no—
562#4339—44no—
563#4339—44no—
564C2×D44—21no—
565C2×D44—21no—
566C2×D44—21no—
567C2×D44—21no—
568C2×D44—21no—
569C2×D44—21no—
570C2×D44—21no—
571C2×D44—21no—
572C2×D44—41no—
573C2×D44—41no—
574C2×D44—44no—
575C2×D44C2×D411yescharacteristic
576C2×D44C2411yescharacteristic
577C2×D44C2411yescharacteristic
578C2×D44C2411yescharacteristic
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—21no—
586C2×C4×D11—21no—
587C2×C4×D11—21no—
588C2×C4×D11—21no—
589C2×C4×D11—21no—
590C2×C4×D11—21no—
591C2×C4×D11—21no—
592C2×C4×D11—41no—
593C2×C4×D11—41no—
594C2×C4×D11—41no—
595C2×C4×D11—41no—
596C2×C4×D11—44no—
597C2×C4×D11—44no—
598C2×C4×D11C2×D411yescharacteristic
599C2×C4×D11C2×D411yescharacteristic
600C2×C4×D11C2×D411yescharacteristic
601C2×C4×D11C2×D411yescharacteristic
602C2×C4×D11C2×D411yescharacteristic
603C2×C4×D11C2×D411yescharacteristic
604C2×C4×D11C2411yescharacteristic
605C2×C4×D11C2411yescharacteristic
606C2×C4×D11C2411yescharacteristic
607C2×Dic22—21no—
608C2×Dic22—21no—
609C2×Dic22—21no—
610C2×Dic22C2411yescharacteristic
611C2×Dic22C2411yescharacteristic
612C2×Dic22C2411yescharacteristic
613C11×Q16—22no—
614C11×SD16—41no—
615C11×SD16—41no—
616C11×M16—41no—
617C2×C8×C11—41no—
618C2×C8×C11C2411yescharacteristic
619C2×C8×C11C2411yescharacteristic
620C2×C8×C11C2411yescharacteristic
621C2×C8×C11C2411yescharacteristic
622C11×C4⋊C4—21no—
623C11×C4⋊C4—21no—
624C11×C4⋊C4—21no—
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×C4⋊C4C2411yescharacteristic
633C11×C4⋊C4C2411yescharacteristic
634C11×C22⋊C4—21no—
635C11×C22⋊C4—21no—
636C11×C22⋊C4—21no—
637C11×C22⋊C4—21no—
638C11×C22⋊C4—21no—
639C11×C22⋊C4C2×D411yescharacteristic
640C11×C22⋊C4C2×D411yescharacteristic
641C42×C11—21no—
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⋊Dic11—21no—
654C22⋊Dic11C2×D411yescharacteristic
655C22⋊Dic11C2×D411yescharacteristic
656#4326—22no—
657#4326—41no—
658#4326—41no—
659#4325—22no—
660#4325—22no—
661#4325—22no—
662#4324—41no—
663#4324—41no—
664#4323—41no—
665#4323—41no—
666#4323—41no—
667#4323—41no—
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)⋊C4—21no—
688(C2×D11)⋊C4—21no—
689(C2×D11)⋊C4C2×D411yescharacteristic
690(C2×D11)⋊C4C2×D411yescharacteristic
691(C2×D11)⋊C4C2×D411yescharacteristic
692(C2×D11)⋊C4C2×D411yescharacteristic
693C4⋊Dic11—21no—
694C4⋊Dic11—21no—
695C4⋊Dic11—21no—
696C4⋊Dic11—21no—
697C4⋊Dic11—21no—
698C4⋊Dic11—21no—
699C4⋊Dic11—21no—
700C4⋊Dic11—21no—
701C4⋊Dic11C2×D411yescharacteristic
702C4⋊Dic11C2411yescharacteristic
703C4⋊Dic11C2411yescharacteristic
704Dic11⋊C4—21no—
705Dic11⋊C4—21no—
706Dic11⋊C4—21no—
707Dic11⋊C4—21no—
708Dic11⋊C4—21no—
709Dic11⋊C4—21no—
710Dic11⋊C4—21no—
711Dic11⋊C4C2×D411yescharacteristic
712Dic11⋊C4C2×D411yescharacteristic
713C4×Dic11—21no—
714C4×Dic11—21no—
715C4×Dic11—21no—
716C4×Dic11—21no—
717C4×Dic11C2×D411yescharacteristic
718C4×Dic11C2×D411yescharacteristic
719C4×Dic11C2411yescharacteristic
720#4318—41no—
721C2×C11⋊C8—41no—
722C2×C11⋊C8C2411yescharacteristic
723C2×C11⋊C8C2411yescharacteristic
724C2×C11⋊C8C2411yescharacteristic
725C2×C11⋊C8C2411yescharacteristic
726Dic44—41no—
727Dic44—41no—
728D88—22no—
729D88—22no—
730#4314—22no—
731#4314—41no—
732#4314—41no—
733#4314—41no—
734#4314—41no—
735#4313—41no—
736#4313—41no—
737C8×D11—41no—
738C8×D11—41no—
739#3505—111no—
740D4×#41—111no—
741#3327—111no—
742#3323—111no—
743#3320—111no—
744#3318—111no—
745#3317D1111yescharacteristic, complemented
746#3315—111no—
747#3301—111no—
748#3297—111no—
749#3285—111no—
750#3282—111no—
751#3275—111no—
752#3273—111no—
753#3270—111no—
754#3268—111no—
755#3267—111no—
756#3265—111no—
757#3219—111no—
758#3212—111no—
759#3197—111no—
760#3196—111no—
761#3191—111no—
762#3188—111no—
763#3111—111no—
764#3102—111no—
765#3006—111no—
766#3005—111no—
767#3002—111no—
768C2×#452—111no—
769#2974—111no—
770C23×C11—21no—
771C23×C11—21no—
772C23×C11C22×D411yescharacteristic
773C23×C11C22×D411yescharacteristic
774C22×D11—21no—
775C22×D11—22no—
776C22×D11—21no—
777C22×D11—21no—
778C22×D11—41no—
779C22×D11—41no—
780C22×D11—41no—
781C22×D11—41no—
782C22×D11—41no—
783C22×D11—42no—
784C22×D11—42no—
785C22×D11—42no—
786C22×D11—42no—
787C22×D11—42no—
788C22×D11—81no—
789C22×D11—81no—
790C22×D11—81no—
791C22×D11—81no—
792C22×D11C22×D411yescharacteristic
793C22×D11C22×D411yescharacteristic
794C22×D11C22×D411yescharacteristic
795Q8×C11—21no—
796Q8×C11—21no—
797Q8×C11—21no—
798Q8×C11H(5,𝔽2)12yes—
799D4×C11—21no—
800D4×C11—21no—
801D4×C11—21no—
802D4×C11—21no—
803D4×C11—41no—
804D4×C11—42no—
805D4×C11—42no—
806D4×C11—42no—
807D4×C11—81no—
808D4×C11—81no—
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—42no—
823C2×C4×C11C22×D411yescharacteristic
824C2×C4×C11C22×D411yescharacteristic
825C2×C4×C11C22×D411yescharacteristic
826C2×C4×C11C22×D411yescharacteristic
827C2×C4×C11C2511yescharacteristic
828C22⋊D11—22no—
829C22⋊D11—41no—
830C22⋊D11—42no—
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—
840C2×Dic11—21no—
841C2×Dic11—21no—
842C2×Dic11—21no—
843C2×Dic11—21no—
844C2×Dic11—21no—
845C2×Dic11—41no—
846C2×Dic11—41no—
847C2×Dic11—42no—
848C2×Dic11—42no—
849C2×Dic11C22×D411yescharacteristic
850C2×Dic11C22×D411yescharacteristic
851C2×Dic11C22×D411yescharacteristic
852C2×Dic11C22×D411yescharacteristic
853C2×Dic11C22×D411yescharacteristic
854D44—24no—
855D44—22no—
856D44—21no—
857D44—21no—
858D44—21no—
859D44—21no—
860D44—21no—
861D44—42no—
862D44—42no—
863D44—42no—
864D44—42no—
865D44—81no—
866D44—81no—
867D44—81no—
868D44H(5,𝔽2)12yes—
869C4×D11—24no—
870C4×D11—21no—
871C4×D11—21no—
872C4×D11—21no—
873C4×D11—21no—
874C4×D11—21no—
875C4×D11—21no—
876C4×D11—41no—
877C4×D11—41no—
878C4×D11—41no—
879C4×D11—41no—
880C4×D11—41no—
881C4×D11—41no—
882C4×D11—42no—
883C4×D11—42no—
884C4×D11—42no—
885C4×D11—42no—
886C4×D11—42no—
887C4×D11—81no—
888C4×D11—81no—
889C4×D11—81no—
890C4×D11—81no—
891C4×D11—81no—
892C4×D11—81no—
893C4×D11—81no—
894Dic22—21no—
895Dic22—21no—
896Dic22—21no—
897Dic22—21no—
898Dic22—21no—
899Dic22—21no—
900Dic22—42no—
901Dic22—42no—
902Dic22—81no—
903C8×C11—21no—
904C8×C11—21no—
905C8×C11—21no—
906C8×C11—21no—
907C11⋊C8—21no—
908C11⋊C8—21no—
909C11⋊C8—21no—
910C11⋊C8—21no—
911C22×#41—111no—
912C22×#41—111no—
913C2×#137—111no—
914C2×AGL(1,ℤ/8)—111no—
915C2×AGL(1,ℤ/8)—111no—
916C2×AGL(1,ℤ/8)—111no—
917C2×#135—111no—
918C2×#135—111no—
919C22×Q16—111no—
920C22×SD16—111no—
921#553—111no—
922#553—111no—
923#553—221no—
924#553—221no—
925#552—111no—
926#552C2×D1111yescharacteristic, complemented
927#551—221no—
928#551—221no—
929#550C2×D1111yescharacteristic
930D4×Q8—111no—
931#548—111no—
932#548—111no—
933#548—111no—
934#548—111no—
935#547—111no—
936#547—221no—
937#546—111no—
938#546—111no—
939#546—111no—
940#546—111no—
941#546—221no—
942#546—221no—
943D42—111no—
944D42—221no—
945#539—221no—
946#538—221no—
947#534—221no—
948#532—111no—
949#532—221no—
950#529—111no—
951#529—111no—
952#525—111no—
953#525—111no—
954#525—111no—
955#525—111no—
956#525—221no—
957#525—221no—
958C2×C22⋊Q8—111no—
959C2×#121—111no—
960#518—221no—
961C4×#41—111no—
962C2×C4×D4—111no—
963C2×C4×D4—221no—
964#497—111no—
965#496—111no—
966#495—111no—
967#495—111no—
968#491—111no—
969#490C2×D1111yescharacteristic, complemented
970#488—111no—
971#488—111no—
972#485—111no—
973#485—111no—
974#485—111no—
975#485—111no—
976#484—111no—
977#484—111no—
978#482—111no—
979#482—111no—
980#482—111no—
981#482C2×D1111yescharacteristic, complemented
982#481—111no—
983#481C2×D1111yescharacteristic, complemented
984#479—111no—
985#479C2×D1111yescharacteristic, complemented
986#478—111no—
987#478—111no—
988#470—111no—
989#470—111no—
990#470—111no—
991#469—111no—
992#468—111no—
993#468—111no—
994#468—111no—
995#468C2×D1111yescharacteristic, complemented
996#467—111no—
997#466—111no—
998#466—111no—
999#466—111no—
1000#465—111no—
1001#465—111no—
1002#465—111no—
1003#465C2×D1111yescharacteristic, complemented
1004#464—111no—
1005#464—111no—
1006#464—111no—
1007#464—111no—
1008#463—111no—
1009#463—111no—
1010#463—111no—
1011#463—111no—
1012#462—111no—
1013#461—111no—
1014#460C2×D1111yescharacteristic, complemented
1015#459—111no—
1016#452—111no—
1017#452—111no—
1018#452—111no—
1019#452—111no—
1020#452—111no—
1021#452—111no—
1022#452—111no—
1023#452—111no—
1024#452—111no—
1025#452—111no—
1026#452—111no—
1027#452—111no—
1028#452C2×D1111yescharacteristic, complemented
1029#452C2×D1111yescharacteristic, complemented
1030#451—111no—
1031#451—111no—
1032#450—111no—
1033#450—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#448—111no—
1045#448—111no—
1046#448—111no—
1047#448—111no—
1048#447—111no—
1049#447—111no—
1050#447—111no—
1051#447—111no—
1052#442—111no—
1053#441C2×D1111yescharacteristic, complemented
1054#440—111no—
1055#440—111no—
1056C4×Q16—111no—
1057C4×SD16—111no—
1058C4×SD16—111no—
1059C4×D8—111no—
1060#436—111no—
1061#436—111no—
1062#435—111no—
1063#435—111no—
1064#435—111no—
1065#435C2×D1111yescharacteristic, complemented
1066C8×D4—111no—
1067C8×D4—111no—
1068#432—111no—
1069#431—111no—
1070#419—111no—
1071#418—111no—
1072#417—111no—
1073#417C2×D1111yescharacteristic, complemented
1074#416—111no—
1075#416C2×D1111yescharacteristic, complemented
1076C2×#103—111no—
1077C2×#102—111no—
1078#407—111no—
1079#407—111no—
1080C2×C22⋊C8—111no—
1081C2×C22⋊C8—111no—
1082C22×C11—21no—
1083C22×C11—21no—
1084C22×C11—21no—
1085C22×C11—21no—
1086C22×C11—21no—
1087C22×C11—21no—
1088C22×C11—41no—
1089C22×C11—41no—
1090C22×C11—41no—
1091C22×C11—41no—
1092C22×C11—41no—
1093C22×C11—41no—
1094C22×C11C23×D411yescharacteristic
1095C2×D11—21no—
1096C2×D11—21no—
1097C2×D11—21no—
1098C2×D11—21no—
1099C2×D11—22no—
1100C2×D11—21no—
1101C2×D11—21no—
1102C2×D11—21no—
1103C2×D11—21no—
1104C2×D11—41no—
1105C2×D11—41no—
1106C2×D11—41no—
1107C2×D11—41no—
1108C2×D11—41no—
1109C2×D11—41no—
1110C2×D11—41no—
1111C2×D11—41no—
1112C2×D11—82no—
1113C2×D11—84no—
1114C2×D11—82no—
1115C2×D11—84no—
1116C2×D11—162no—
1117C2×D11#57512yes—
1118C4×C11—21no—
1119C4×C11—21no—
1120C4×C11—21no—
1121C4×C11—22no—
1122C4×C11—21no—
1123C4×C11—41no—
1124C4×C11—41no—
1125C4×C11—41no—
1126C4×C11—41no—
1127C4×C11—41no—
1128C4×C11C2×H(5,𝔽2)11yescharacteristic
1129C4×C11C2×H(5,𝔽2)11yescharacteristic
1130Dic11—21no—
1131Dic11—21no—
1132Dic11—21no—
1133Dic11—21no—
1134Dic11—21no—
1135Dic11—41no—
1136Dic11—41no—
1137Dic11—41no—
1138Dic11—41no—
1139Dic11—41no—
1140C2×#41—111no—
1141C2×#41—111no—
1142C2×#41—111no—
1143C2×#41—111no—
1144C2×#41—111no—
1145C2×#41—111no—
1146C2×#41—111no—
1147C2×#41—221no—
1148C2×#41—221no—
1149C2×#41—221no—
1150C2×#41—221no—
1151C2×#41—442no—
1152C2×#41—442no—
1153C2×#41—442no—
1154C2×#41—442no—
1155C2×#41C22×D1111yescharacteristic
1156C2×#41C22×D1111yescharacteristic
1157C22×Q8—111no—
1158C22×Q8—111no—
1159C22×Q8—111no—
1160C22×D4—111no—
1161C22×D4—111no—
1162C22×D4—111no—
1163C22×D4—111no—
1164C22×D4—221no—
1165C22×D4—221no—
1166C22×D4—221no—
1167C22×D4—221no—
1168C23×C4—111no—
1169C23×C4—111no—
1170C23×C4—221no—
1171C23×C4—221no—
1172#137—442no—
1173AGL(1,ℤ/8)—442no—
1174AGL(1,ℤ/8)—442no—
1175AGL(1,ℤ/8)—442no—
1176#135—442no—
1177#135—442no—
1178C2×Q16—111no—
1179C2×Q16—111no—
1180C2×Q16—111no—
1181C2×Q16—111no—
1182C2×Q16—111no—
1183C2×Q16—442no—
1184C2×Q16C22×D1111yescharacteristic
1185C2×SD16—111no—
1186C2×SD16—111no—
1187C2×SD16—111no—
1188C2×SD16—111no—
1189C2×SD16—111no—
1190C2×SD16—111no—
1191C2×SD16—111no—
1192C2×SD16—111no—
1193C2×SD16—111no—
1194C2×SD16—111no—
1195C2×SD16—442no—
1196C2×SD16C22×D1111yescharacteristic
1197C2×SD16C22×D1111yescharacteristic
1198C2×D8—111no—
1199C2×D8—111no—
1200C2×D8—111no—
1201C2×D8—111no—
1202C2×D8—111no—
1203C2×D8—111no—
1204C2×M16—111no—
1205C2×M16—111no—
1206C2×M16—111no—
1207C2×M16C22×D1111yescharacteristic
1208C22×C8—111no—
1209C22×C8—111no—
1210C22×C8—111no—
1211C22×C8C22×D1111yescharacteristic
1212C4⋊Q8—111no—
1213C4⋊Q8—221no—
1214#127—21no—
1215#127C22×D1111yescharacteristic
1216#126—21no—
1217#126—221no—
1218#126—221no—
1219#126—221no—
1220#126—221no—
1221#126—221no—
1222#125—21no—
1223#125—111no—
1224#125—221no—
1225#125C22×D1111yescharacteristic
1226#124—111no—
1227#124—111no—
1228#124—111no—
1229#124—111no—
1230#124—221no—
1231#124—221no—
1232#124—221no—
1233#124—221no—
1234#123—21no—
1235#123—221no—
1236#123—221no—
1237#123—221no—
1238#123—221no—
1239#123—221no—
1240#123—221no—
1241#123—221no—
1242#123—221no—
1243#123—221no—
1244#123—221no—
1245#123—221no—
1246#123—221no—
1247#123—221no—
1248#123—221no—
1249#123—221no—
1250C22⋊Q8—111no—
1251C22⋊Q8—111no—
1252C22⋊Q8—111no—
1253C22⋊Q8—111no—
1254C22⋊Q8—111no—
1255C22⋊Q8—111no—
1256C22⋊Q8—111no—
1257C22⋊Q8—111no—
1258C22⋊Q8—221no—
1259C22⋊Q8—221no—
1260C22⋊Q8—221no—
1261C22⋊Q8—221no—
1262C22⋊Q8—221no—
1263C22⋊Q8—221no—
1264C22⋊Q8—221no—
1265C22⋊Q8—221no—
1266C22⋊Q8C22×D1111yescharacteristic
1267C22⋊Q8C22×D1111yescharacteristic
1268#121—21no—
1269#121—21no—
1270#121—111no—
1271#121—111no—
1272#121—111no—
1273#121—111no—
1274#121—111no—
1275#121—111no—
1276#121—111no—
1277#121—111no—
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#121—221no—
1293#121—221no—
1294#121C22×D1111yescharacteristic
1295#121C22×D1111yescharacteristic
1296#120—221no—
1297#120—221no—
1298#120—221no—
1299#120—221no—
1300#120—221no—
1301#120—221no—
1302#120—221no—
1303#120—221no—
1304#120—221no—
1305#120—221no—
1306C4×Q8—111no—
1307C4×Q8—111no—
1308C4×Q8C22×D1111yescharacteristic
1309C4×Q8C22×D1111yescharacteristic
1310C4×D4—21no—
1311C4×D4—111no—
1312C4×D4—111no—
1313C4×D4—111no—
1314C4×D4—111no—
1315C4×D4—111no—
1316C4×D4—111no—
1317C4×D4—111no—
1318C4×D4—111no—
1319C4×D4—111no—
1320C4×D4—111no—
1321C4×D4—111no—
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×D4—221no—
1334C4×D4—221no—
1335C4×D4—221no—
1336C4×D4—221no—
1337C4×D4—221no—
1338C4×D4—221no—
1339C4×D4—221no—
1340C4×D4—221no—
1341C4×D4—221no—
1342C4×D4—221no—
1343C4×D4C22×D1111yescharacteristic
1344#117—21no—
1345#117—111no—
1346#117—111no—
1347#117—221no—
1348#117—221no—
1349#117—221no—
1350#117—221no—
1351#117C22×D1111yescharacteristic
1352C2×C4⋊C4—111no—
1353C2×C4⋊C4—111no—
1354C2×C4⋊C4—221no—
1355C2×C4⋊C4—221no—
1356C2×C4⋊C4C22×D1111yescharacteristic
1357C2×C22⋊C4—111no—
1358C2×C22⋊C4—111no—
1359C2×C22⋊C4—221no—
1360C2×C22⋊C4—221no—
1361C2×C22⋊C4—221no—
1362C2×C22⋊C4—221no—
1363C2×C22⋊C4—221no—
1364C2×C22⋊C4—221no—
1365C2×C42—111no—
1366C2×C42—221no—
1367#107—111no—
1368#107—111no—
1369#107—111no—
1370#107C22×D1111yescharacteristic
1371#106—111no—
1372#106—111no—
1373#106C22×D1111yescharacteristic
1374#106C22×D1111yescharacteristic
1375C4⋊C8—111no—
1376C4⋊C8—111no—
1377C4⋊C8—111no—
1378C4⋊C8C22×D1111yescharacteristic
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#103—111no—
1388#103—111no—
1389#103—111no—
1390#103—111no—
1391#103C22×D1111yescharacteristic
1392#103C22×D1111yescharacteristic
1393#103C22×D1111yescharacteristic
1394#103C22×D1111yescharacteristic
1395#102—111no—
1396#102—111no—
1397#102—111no—
1398#102—111no—
1399#102—111no—
1400#102—111no—
1401#102—111no—
1402#102—111no—
1403#102—111no—
1404#102—111no—
1405#102C22×D1111yescharacteristic
1406#102C22×D1111yescharacteristic
1407#102C22×D1111yescharacteristic
1408#102C22×D1111yescharacteristic
1409#102C22×D1111yescharacteristic
1410#102C22×D1111yescharacteristic
1411C22⋊C8—111no—
1412C22⋊C8—111no—
1413C22⋊C8—111no—
1414C22⋊C8—111no—
1415C22⋊C8—111no—
1416C22⋊C8—111no—
1417C22⋊C8—111no—
1418C22⋊C8—111no—
1419C22⋊C8—111no—
1420C22⋊C8—111no—
1421C22⋊C8C22×D1111yescharacteristic
1422C22⋊C8C22×D1111yescharacteristic
1423#97—111no—
1424#97C22×D1111yescharacteristic
1425C4×C8—111no—
1426C4×C8—111no—
1427C2×C11—41no—
1428C2×C11—41no—
1429C2×C11—81no—
1430C2×C11—81no—
1431C2×C11#348411yescharacteristic
1432C2×C11C2×#57511yescharacteristic
1433C2×C11#358411yescharacteristic
1434D11—22no—
1435D11—41no—
1436D11—41no—
1437D11—42no—
1438D11—81no—
1439D11—81no—
1440C24—111no—
1441C24—111no—
1442C24—221no—
1443C24—221no—
1444C24—221no—
1445#41—22no—
1446#41—22no—
1447#41—41no—
1448#41—41no—
1449#41—222no—
1450#41—222no—
1451#41—222no—
1452#41—222no—
1453#41—441no—
1454#41—441no—
1455#41—441no—
1456#41—441no—
1457#41—444no—
1458#41—444no—
1459#41—441no—
1460#41—441no—
1461#41—441no—
1462#41—441no—
1463#41—444no—
1464#41—444no—
1465#41—441no—
1466#41—441no—
1467C2×Q8—111no—
1468C2×Q8—111no—
1469C2×Q8—111no—
1470C2×Q8—221no—
1471C2×Q8—221no—
1472C2×Q8—221no—
1473C2×Q8—222no—
1474C2×Q8—222no—
1475C2×Q8—441no—
1476C2×Q8—441no—
1477C2×Q8—441no—
1478C2×Q8—441no—
1479C2×Q8C23×D1111yescharacteristic
1480C2×Q8C23×D1111yescharacteristic
1481C2×D4—21no—
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—111no—
1488C2×D4—111no—
1489C2×D4—111no—
1490C2×D4—111no—
1491C2×D4—111no—
1492C2×D4—111no—
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—222no—
1503C2×D4—222no—
1504C2×D4—221no—
1505C2×D4—221no—
1506C2×D4—221no—
1507C2×D4—221no—
1508C2×D4—221no—
1509C2×D4—221no—
1510C2×D4—221no—
1511C2×D4—221no—
1512C2×D4—221no—
1513C2×D4—441no—
1514C2×D4—441no—
1515C2×D4—444no—
1516C2×D4—441no—
1517C2×D4—441no—
1518C2×D4—442no—
1519C2×D4—444no—
1520C2×D4—444no—
1521C2×D4—444no—
1522C2×D4D4×D1111yescharacteristic
1523C2×D4C23×D1111yescharacteristic
1524C2×D4C23×D1111yescharacteristic
1525C22×C4—21no—
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—111no—
1529C22×C4—111no—
1530C22×C4—111no—
1531C22×C4—111no—
1532C22×C4—111no—
1533C22×C4—111no—
1534C22×C4—111no—
1535C22×C4—111no—
1536C22×C4—111no—
1537C22×C4—111no—
1538C22×C4—111no—
1539C22×C4—221no—
1540C22×C4—221no—
1541C22×C4—221no—
1542C22×C4—221no—
1543C22×C4—221no—
1544C22×C4—221no—
1545C22×C4—221no—
1546C22×C4—221no—
1547C22×C4—221no—
1548C22×C4—221no—
1549C22×C4—221no—
1550C22×C4—221no—
1551C22×C4—221no—
1552C22×C4—221no—
1553C22×C4—221no—
1554C22×C4—441no—
1555C22×C4—441no—
1556C22×C4—441no—
1557C22×C4—441no—
1558C22×C4—444no—
1559C22×C4—444no—
1560C22×C4C23×D1111yescharacteristic
1561C22×C4C23×D1111yescharacteristic
1562Q16—22no—
1563Q16—222no—
1564Q16—441no—
1565Q16—441no—
1566Q16—441no—
1567Q16—441no—
1568SD16—41no—
1569SD16—41no—
1570SD16—222no—
1571SD16—222no—
1572SD16—222no—
1573SD16—222no—
1574SD16—441no—
1575SD16—441no—
1576SD16—441no—
1577SD16—441no—
1578SD16—441no—
1579SD16—441no—
1580D8—222no—
1581D8—222no—
1582D8—441no—
1583D8—441no—
1584D8—441no—
1585D8—441no—
1586M16—41no—
1587M16—441no—
1588M16—441no—
1589M16—441no—
1590C2×C8—41no—
1591C2×C8—111no—
1592C2×C8—111no—
1593C2×C8—111no—
1594C2×C8—111no—
1595C2×C8—441no—
1596C2×C8—441no—
1597C2×C8—441no—
1598C2×C8C23×D1111yescharacteristic
1599C2×C8C23×D1111yescharacteristic
1600C2×C8C23×D1111yescharacteristic
1601C2×C8C23×D1111yescharacteristic
1602C4⋊C4—21no—
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—21no—
1608C4⋊C4—21no—
1609C4⋊C4—111no—
1610C4⋊C4—111no—
1611C4⋊C4—111no—
1612C4⋊C4—111no—
1613C4⋊C4—111no—
1614C4⋊C4—221no—
1615C4⋊C4—221no—
1616C4⋊C4—221no—
1617C4⋊C4—221no—
1618C4⋊C4—221no—
1619C4⋊C4—221no—
1620C4⋊C4—221no—
1621C4⋊C4—221no—
1622C4⋊C4—221no—
1623C4⋊C4—221no—
1624C4⋊C4—221no—
1625C4⋊C4—221no—
1626C4⋊C4—221no—
1627C4⋊C4—221no—
1628C4⋊C4—221no—
1629C4⋊C4D4×D1111yescharacteristic
1630C4⋊C4C23×D1111yescharacteristic
1631C4⋊C4C23×D1111yescharacteristic
1632C4⋊C4C23×D1111yescharacteristic
1633C4⋊C4C23×D1111yescharacteristic
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—111no—
1640C22⋊C4—111no—
1641C22⋊C4—111no—
1642C22⋊C4—111no—
1643C22⋊C4—111no—
1644C22⋊C4—111no—
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⋊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⋊C4D4×D1111yescharacteristic
1676C22⋊C4D4×D1111yescharacteristic
1677C42—21no—
1678C42—21no—
1679C42—21no—
1680C42—111no—
1681C42—111no—
1682C42—111no—
1683C42—221no—
1684C42—221no—
1685C42—221no—
1686C42—221no—
1687C42C23×D1111yescharacteristic
1688C11#6160611yescharacteristic, complemented, Sylow
1689C23—21no—
1690C23—21no—
1691C23—111no—
1692C23—111no—
1693C23—111no—
1694C23—222no—
1695C23—221no—
1696C23—221no—
1697C23—221no—
1698C23—441no—
1699C23—441no—
1700C23—441no—
1701C23—441no—
1702C23—441no—
1703C23—442no—
1704C23—442no—
1705C23—442no—
1706C23—442no—
1707C23—442no—
1708C23—881no—
1709C23—881no—
1710C23—881no—
1711C23—881no—
1712C23C2×D4×D1111yescharacteristic
1713C23C2×D4×D1111yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—221no—
1718Q8—221no—
1719Q8—221no—
1720Q8—221no—
1721Q8—221no—
1722Q8—221no—
1723Q8—442no—
1724Q8—442no—
1725Q8—881no—
1726Q8#6704212yes—
1727D4—21no—
1728D4—21no—
1729D4—21no—
1730D4—21no—
1731D4—41no—
1732D4—42no—
1733D4—42no—
1734D4—42no—
1735D4—81no—
1736D4—81no—
1737D4—81no—
1738D4—112no—
1739D4—222no—
1740D4—224no—
1741D4—222no—
1742D4—221no—
1743D4—221no—
1744D4—221no—
1745D4—221no—
1746D4—221no—
1747D4—442no—
1748D4—442no—
1749D4—442no—
1750D4—442no—
1751D4—441no—
1752D4—442no—
1753D4—442no—
1754D4—442no—
1755D4—442no—
1756D4—442no—
1757D4—442no—
1758D4—442no—
1759D4—442no—
1760D4—881no—
1761D4—881no—
1762D4—881no—
1763D4—881no—
1764D4—881no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—42no—
1776C2×C4—42no—
1777C2×C4—42no—
1778C2×C4—111no—
1779C2×C4—111no—
1780C2×C4—111no—
1781C2×C4—111no—
1782C2×C4—111no—
1783C2×C4—224no—
1784C2×C4—221no—
1785C2×C4—221no—
1786C2×C4—221no—
1787C2×C4—221no—
1788C2×C4—221no—
1789C2×C4—221no—
1790C2×C4—221no—
1791C2×C4—221no—
1792C2×C4—221no—
1793C2×C4—221no—
1794C2×C4—221no—
1795C2×C4—441no—
1796C2×C4—441no—
1797C2×C4—441no—
1798C2×C4—441no—
1799C2×C4—441no—
1800C2×C4—441no—
1801C2×C4—442no—
1802C2×C4—442no—
1803C2×C4—442no—
1804C2×C4—442no—
1805C2×C4—442no—
1806C2×C4—441no—
1807C2×C4—441no—
1808C2×C4—442no—
1809C2×C4—442no—
1810C2×C4—881no—
1811C2×C4—881no—
1812C2×C4—881no—
1813C2×C4—881no—
1814C2×C4—881no—
1815C2×C4—881no—
1816C2×C4—881no—
1817C2×C4C2×D4×D1111yescharacteristic
1818C2×C4C2×D4×D1111yescharacteristic
1819C2×C4C2×D4×D1111yescharacteristic
1820C2×C4C2×D4×D1111yescharacteristic
1821C2×C4C24×D1111yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—221no—
1827C8—221no—
1828C8—221no—
1829C8—221no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—21no—
1834C22—21no—
1835C22—21no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—112no—
1843C22—221no—
1844C22—221no—
1845C22—221no—
1846C22—222no—
1847C22—221no—
1848C22—221no—
1849C22—221no—
1850C22—221no—
1851C22—221no—
1852C22—441no—
1853C22—441no—
1854C22—441no—
1855C22—441no—
1856C22—441no—
1857C22—441no—
1858C22—441no—
1859C22—441no—
1860C22—882no—
1861C22—882no—
1862C22—884no—
1863C22—884no—
1864C22—1762no—
1865C22C22×D4×D1111yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—22no—
1869C4—21no—
1870C4—21no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—41no—
1876C4—221no—
1877C4—221no—
1878C4—221no—
1879C4—221no—
1880C4—221no—
1881C4—441no—
1882C4—441no—
1883C4—441no—
1884C4—441no—
1885C4—441no—
1886C4C2×#6704211yescharacteristic
1887C4D11×H(5,𝔽2)11yescharacteristic
1888C2—41no—
1889C2—41no—
1890C2—81no—
1891C2—81no—
1892C2—222no—
1893C2—441no—
1894C2—441no—
1895C2—442no—
1896C2—881no—
1897C2—881no—
1898C2#1308224611yescharacteristic
1899C2D11×#57511yescharacteristic
1900C2#1308338811yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3317C2
socleC22×C11C23×D4
hypercenter#3317D11
hypocenterC11#61606
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3317

Complements

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

NH ≅ G/Ntype
1. #13082456C2semidirect
2. #13082106C2semidirect
3. #13080885C2semidirect
4. #13080835C2semidirect
5. #13080784C2semidirect
6. #13080756C2semidirect
7. #13080706C2semidirect
8. #13080519C2semidirect
9. #13080469C2semidirect
10. #13080355C2semidirect
11. #13080330C2semidirect
12. #13080240C2semidirect
13. #13080224C2semidirect
14. #13080188C2semidirect
15. #13080157C2semidirect
16. #13080146C2semidirect
17. #13080106C2semidirect
18. #13079654C2semidirect
19. #13079596C2semidirect
20. #13079456C2semidirect
21. #13079441C2semidirect
22. #13079405C2semidirect
23. #13079380C2semidirect
24. #13078731C2semidirect
25. #13078641C2semidirect
26. #13077869C2semidirect
27. #13077859C2semidirect
28. #13077836C2semidirect
29. D11×#452C2semidirect
30. #13077646C2semidirect
31. C11×#3317C2semidirect
33. C2×#41×D11C22semidirect
34. C11×#552C22semidirect
37. #10623362C22semidirect
38. C2×#67003C22semidirect
39. C2×#67002C22semidirect
40. C2×#66971C22semidirect
41. C2×Q16×D11C22semidirect
42. C2×#66967C22semidirect
43. C2×SD16×D11C22semidirect
44. C2×#66961C22semidirect
45. C2×#66957C22semidirect
47. #10623248C22semidirect
49. #10623247C22semidirect
55. #10623222C22semidirect
58. #10623164C22semidirect
59. #10623161C22semidirect
60. #10623158C22semidirect
61. D11×C22⋊Q8C22semidirect
65. #10623143C22semidirect
69. #10623137C22semidirect
70. #10623111C22semidirect
72. Q8×D44C22semidirect
73. C4×#4343C22semidirect
76. #10623081C22semidirect
79. #10623061C22semidirect
81. #10623055C22semidirect
83. #10623044C22semidirect
84. C2×#66948C22semidirect
85. C11×#490C22semidirect
86. C11×#482C22semidirect
87. C11×#481C22semidirect
88. C11×#479C22semidirect
89. C11×#468C22semidirect
90. C11×#465C22semidirect
91. C11×#460C22semidirect
92. C11×#452C22semidirect
93. C11×#452C22semidirect
94. C11×#441C22semidirect
95. C11×#435C22semidirect
96. C11×#417C22semidirect
97. C11×#416C22semidirect
98. #10622852C22semidirect
99. #10622851C22semidirect
100. #10622800C22semidirect
101. #10622798C22semidirect
102. #10622786C22semidirect
103. #10622786C22semidirect
104. #10622785C22semidirect
105. #10622783C22semidirect
106. #10622781C22semidirect
107. #10622781C22semidirect
108. #10622750C22semidirect
109. #10622741C22semidirect
110. #10622739C22semidirect
111. #10622727C22semidirect
112. C8×C22⋊D11C22semidirect
113. C2×(C2×D11)⋊C8C22semidirect
114. #10622687C22semidirect
115. #10622685C22semidirect
116. #10622682C22semidirect
117. #10622679C22semidirect
118. #10622665C22semidirect
119. #10622664C22semidirect
120. #10622660C22semidirect
121. #10622660C22semidirect
122. #10622655C22semidirect
123. #10622651C22semidirect
124. #10622650C22semidirect
125. #10622649C22semidirect
126. #10622644C22semidirect
127. #10622641C22semidirect
128. #10622639C22semidirect
129. #10622639C22semidirect
130. #10622624C22semidirect
131. #10622615C22semidirect
132. #10622609C22semidirect
133. #10622583C22semidirect
134. #10622579C22semidirect
135. #10622501C22semidirect
136. #10622499C22semidirect
137. #10622497C22semidirect
138. #10622485C22semidirect
139. #10622484C22semidirect
140. #10622481C22semidirect
141. #10622480C22semidirect
142. #10622479C22semidirect
143. #10622479C22semidirect
144. #10622477C22semidirect
145. #10622477C22semidirect
146. #10622465C22semidirect
147. #10622457C22semidirect
148. #10622454C22semidirect
149. #10622449C22semidirect
150. #10622446C22semidirect
151. #10622432C22semidirect
152. #10622428C22semidirect
155. #10622423C22semidirect
156. #10622423C22semidirect
157. #10622421C22semidirect
158. #10622421C22semidirect
159. #10622419C22semidirect
160. #10622419C22semidirect
161. #10622419C22semidirect
162. #10622415C22semidirect
163. D11×#103C22semidirect
164. #10622412C22semidirect
165. #10622403C22semidirect
166. #10622401C22semidirect
167. #10622400C22semidirect
168. #10622400C22semidirect
169. #10622396C22semidirect
170. #10622396C22semidirect
171. #10622395C22semidirect
172. #10622394C22semidirect
173. #10622394C22semidirect
174. #10622394C22semidirect
175. #10622394C22semidirect
176. #10622393C22semidirect
177. #10622392C22semidirect
178. #10622390C22semidirect
179. #10622389C22semidirect
180. #10622388C22semidirect
181. #10622388C22semidirect
182. #10622386C22semidirect
183. #10622386C22semidirect
184. #10622386C22semidirect
185. #10622383C22semidirect
186. D11×#102C22semidirect
187. #10622381C22semidirect
188. #10622381C22semidirect
189. #10622380C22semidirect
190. #10622380C22semidirect
191. #10622347C22semidirect
192. #10622346C22semidirect
193. #10622346C22semidirect
194. #10622344C22semidirect
195. #10622342C22semidirect
196. #10622339C22semidirect
197. (C22⋊D11)⋊C8C22semidirect
198. D11×C22⋊C8C22semidirect
199. #10622328C22semidirect
200. #10622324C22semidirect
201. #10622319C22semidirect
202. #10622318C22semidirect
745. #3317D11semidirect
926. #552C2×D11semidirect
969. #490C2×D11semidirect
981. #482C2×D11semidirect
983. #481C2×D11semidirect
985. #479C2×D11semidirect
995. #468C2×D11semidirect
1003. #465C2×D11semidirect
1014. #460C2×D11semidirect
1028. #452C2×D11semidirect
1029. #452C2×D11semidirect
1053. #441C2×D11semidirect
1065. #435C2×D11semidirect
1073. #417C2×D11semidirect
1075. #416C2×D11semidirect
1688. C11#61606semidirect

Maximal subgroups

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

subgroupindex
#130824562
#130821062
#130808852
#130808352
#130807842
#130807562
#130807062
#130805192
#130804692
#130803552
#130803302
#130802402
#130802242
#130801882
#130801572
#130801462
#130801062
#130796542
#130795962
#130794562
#130794412
#130794052
#130793802
#130787312
#130786412
#130778692
#130778592
#130778362
D11×#4522
#130776462
C11×#33172
#6160611