Finite Group Databasebeta

← #15622409

Subgroups — #15622409

Order 2816.

2144 conjugacy classes of subgroups.

The subgroup lattice has 1800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082031C211yesmaximal, characteristic, complemented
2#13081820C211yesmaximal, characteristic, complemented
3#13078897C211yesmaximal, characteristic, complemented
4#13078895C211yesmaximal, characteristic, complemented
5#13078858C211yesmaximal, characteristic, complemented
6#13078811C211yesmaximal, characteristic, complemented
7#13078809C211yesmaximal, characteristic, complemented
8#13078800C211yesmaximal, characteristic, complemented
9#13078796C211yesmaximal, characteristic, complemented
10#13078764C211yesmaximal, characteristic, complemented
11#13078762C211yesmaximal, characteristic, complemented
12#13078759C211yesmaximal, characteristic, complemented
13#13078749C211yesmaximal, characteristic, complemented
14#13078730C211yesmaximal, characteristic, complemented
15#13078720C211yesmaximal, characteristic, complemented
16#13078706C211yesmaximal, characteristic, complemented
17#13078702C211yesmaximal, characteristic, complemented
18#13078608C211yesmaximal, characteristic, complemented
19#13078569C211yesmaximal, characteristic, complemented
20#13078479C211yesmaximal, characteristic, complemented
21#13078446C211yesmaximal, characteristic, complemented
22#13078150C211yesmaximal, characteristic, complemented
23#13078114C211yesmaximal, characteristic, complemented
24#13077915C211yesmaximal, characteristic, complemented
25#13077879C211yesmaximal, characteristic, complemented
26C4×#66964C211yesmaximal, characteristic, complemented
27C4×#66964C211yesmaximal, characteristic, complemented
28#13077413C211yesmaximal, characteristic, complemented
29D11×#442C211yesmaximal, characteristic, complemented
30#13077264C211yesmaximal, characteristic, complemented
31C11×#3122C211yesmaximal, characteristic, complemented
32C2×#67037C2211yescharacteristic
33C11×#540C2211yescharacteristic, complemented
34C11×#518C2211yescharacteristic, complemented
35C2×D4×Dic11C2211yescharacteristic, complemented
36C2×#66965C2211yescharacteristic
37C2×#66964C2211yescharacteristic
38C2×#66964C2211yescharacteristic
39C2×D8×D11C2211yescharacteristic
40#10623247C2211yescharacteristic, complemented
41#10623246C2211yescharacteristic, complemented
42#10623222C2211yescharacteristic, complemented
43#10623220C2211yescharacteristic, complemented
44#10623193—21no—
45#10623188—21no—
46#10623187—21no—
47#10623180—21no—
48#10623146—21no—
49#10623144—21no—
50#10623139C2211yescharacteristic
51#10623138C2211yescharacteristic
52#10623137—21no—
53#10623131C2211yescharacteristic, complemented
54#10623127—21no—
55#10623127C2211yescharacteristic, complemented
56#10623093C2211yescharacteristic, complemented
57#10623092C2211yescharacteristic, complemented
58#10623077—21no—
59#10623077C2211yescharacteristic
60#10623077C2211yescharacteristic, complemented
61#10623076—21no—
62#10623076C2211yescharacteristic
63#10623076C2211yescharacteristic, complemented
64C4×D4×D11—21no—
65C4×D4×D11C2211yescharacteristic
66C4×D4×D11C2211yescharacteristic, complemented
67C4×D4×D11C2211yescharacteristic, complemented
68C4×#4341—21no—
69C4×#4341C2211yescharacteristic
70C4×#4341C2211yescharacteristic, complemented
71C4×#4341C2211yescharacteristic, complemented
72#10623065C2211yescharacteristic, complemented
73#10623054C2211yescharacteristic
74#10623054C2211yescharacteristic, complemented
75#10623053C2211yescharacteristic
76#10623053C2211yescharacteristic, complemented
77#10623017—21no—
78#10623017—21no—
79C2×(C22⋊D11)⋊C4—21no—
80C2×(C22⋊D11)⋊C4—21no—
81C11×#482C2211yescharacteristic, complemented
82C11×#482C2211yescharacteristic, complemented
83C11×#478C2211yescharacteristic, complemented
84C11×#478C2211yescharacteristic, complemented
85C11×#459C2211yescharacteristic, complemented
86C11×#459C2211yescharacteristic, complemented
87C11×#447C2211yescharacteristic
88C11×#447C2211yescharacteristic, complemented
89C11×#442C2211yescharacteristic, complemented
90C11×#442C2211yescharacteristic, complemented
91C4×C11×D8C2211yescharacteristic, complemented
92C4×C11×D8C2211yescharacteristic, complemented
93C11×#433C2211yescharacteristic, complemented
94#10622831C2211yescharacteristic, complemented
95#10622830C2211yescharacteristic
96#10622771C2211yescharacteristic
97#10622771C2211yescharacteristic, complemented
98#10622769C2211yescharacteristic
99#10622769C2211yescharacteristic, complemented
100#10622766C2211yescharacteristic, complemented
101#10622766C2211yescharacteristic, complemented
102#10622765C2211yescharacteristic, complemented
103#10622765C2211yescharacteristic, complemented
104#10622765C2211yescharacteristic, complemented
105#10622765C2211yescharacteristic, complemented
106#10622763C2211yescharacteristic, complemented
107#10622763C2211yescharacteristic, complemented
108#10622688C2211yescharacteristic, complemented
109#10622685C2211yescharacteristic, complemented
110#10622679C2211yescharacteristic, complemented
111#10622676C2211yescharacteristic, complemented
112#10622650C2211yescharacteristic
113#10622650C2211yescharacteristic, complemented
114#10622647C2211yescharacteristic, complemented
115#10622646C2211yescharacteristic, complemented
116#10622631C2211yescharacteristic, complemented
117#10622631C2211yescharacteristic, complemented
118C4×#4324C2211yescharacteristic, complemented
119C4×#4324C2211yescharacteristic, complemented
120#10622629C2211yescharacteristic, complemented
121#10622629C2211yescharacteristic, complemented
122#10622627C2211yescharacteristic, complemented
123#10622627C2211yescharacteristic, complemented
124C4×#4323C2211yescharacteristic, complemented
125C4×#4323C2211yescharacteristic, complemented
126#10622621C2211yescharacteristic, complemented
127#10622620C2211yescharacteristic, complemented
128#10622616C2211yescharacteristic, complemented
129#10622613C2211yescharacteristic, complemented
130#10622609C2211yescharacteristic, complemented
131#10622503C2211yescharacteristic, complemented
132#10622502C2211yescharacteristic, complemented
133#10622502C2211yescharacteristic, complemented
134#10622501C2211yescharacteristic, complemented
135#10622495C2211yescharacteristic, complemented
136#10622494C2211yescharacteristic, complemented
137#10622494C2211yescharacteristic, complemented
138#10622490C2211yescharacteristic, complemented
139#10622484C2211yescharacteristic, complemented
140#10622482C2211yescharacteristic, complemented
141#10622479C2211yescharacteristic, complemented
142#10622475C2211yescharacteristic, complemented
143#10622473C2211yescharacteristic, complemented
144D11×#106C2211yescharacteristic, complemented
145#10622467C2211yescharacteristic, complemented
146#10622466C2211yescharacteristic, complemented
147#10622464C2211yescharacteristic, complemented
148#10622458C2211yescharacteristic, complemented
149#10622457C2211yescharacteristic, complemented
150#10622455C2211yescharacteristic, complemented
151#10622452C2211yescharacteristic, complemented
152#10622452C2211yescharacteristic, complemented
153#10622448C2211yescharacteristic, complemented
154#10622448C2211yescharacteristic, complemented
155#10622400C2211yescharacteristic, complemented
156#10622399C2211yescharacteristic, complemented
157#10622398C2211yescharacteristic, complemented
158#10622398C2211yescharacteristic, complemented
159#10622398C2211yescharacteristic, complemented
160#10622398C2211yescharacteristic, complemented
161#10622396C2211yescharacteristic, complemented
162#10622394C2211yescharacteristic
163#10622392C2211yescharacteristic, complemented
164#10622392C2211yescharacteristic, complemented
165#10622390C2211yescharacteristic, complemented
166#10622390C2211yescharacteristic, complemented
167#10622389C2211yescharacteristic, complemented
168#10622386C2211yescharacteristic
169#10622385C2211yescharacteristic
170#10622385C2211yescharacteristic, complemented
171#10622384C2211yescharacteristic
172#10622384C2211yescharacteristic, complemented
173#10622383C2211yescharacteristic
174#10622383C2211yescharacteristic, complemented
175D11×#102C2211yescharacteristic
176D11×#102C2211yescharacteristic, complemented
177#10622380C2211yescharacteristic, complemented
178#10622376C2211yescharacteristic, complemented
179#10622376C2211yescharacteristic, complemented
180#10622375C2211yescharacteristic, complemented
181#10622374C2211yescharacteristic, complemented
182#10622374C2211yescharacteristic, complemented
183#10622370C2211yescharacteristic, complemented
184#10622370C2211yescharacteristic, complemented
185#10622370C2211yescharacteristic, complemented
186#10622370C2211yescharacteristic, complemented
187#10622348C2211yescharacteristic, complemented
188#10622347C2211yescharacteristic
189#10622346C2211yescharacteristic, complemented
190#10622340C2211yescharacteristic
191#10622340C2211yescharacteristic
192#10622334C2211yescharacteristic, complemented
193#10622332C2211yescharacteristic, complemented
194#10622332C2211yescharacteristic, complemented
195#10622329C2211yescharacteristic, complemented
196#10622324C2211yescharacteristic, complemented
197#10622322C2211yescharacteristic, complemented
198D11×#97C2211yescharacteristic, complemented
199C4×#4314C2211yescharacteristic, complemented
200C4×#4314C2211yescharacteristic, complemented
201#10622303C2211yescharacteristic, complemented
202C4×#4313C2211yescharacteristic, complemented
203C22×D4×C11C2311yescharacteristic
204C22×C22⋊D11—21no—
205C22×C22⋊D11—21no—
206C23×Dic11—21no—
207#67037—24no—
208#67037—24no—
209C2×#4341—21no—
210C2×#4341—21no—
211C2×#4341—21no—
212C2×#4341C2311yescharacteristic
213C2×#4341C2311yescharacteristic
214C2×#4341C2311yescharacteristic
215C2×D4×D11—21no—
216C2×D4×D11C2311yescharacteristic
217C2×D4×D11C2311yescharacteristic
218C2×D4×D11C2311yescharacteristic
219C2×#4339C2311yescharacteristic
220C2×#4339C2311yescharacteristic
221C22×C4×D11—21no—
222C22×C4×D11—21no—
223C22×C4×D11—21no—
224C2×C11×D8C2311yescharacteristic
225C2×C11×D8C2311yescharacteristic
226C2×C11×D8C2311yescharacteristic
227C2×C11×D8C2311yescharacteristic
228C11×#127C2311yescharacteristic
229C11×#125C2311yescharacteristic
230C11×#123—21no—
231C11×#123—21no—
232C11×#121—21no—
233C11×#121—21no—
234C11×#121C2311yescharacteristic
235C11×#121C2311yescharacteristic
236C4×D4×C11—21no—
237C4×D4×C11—21no—
238C4×D4×C11C2311yescharacteristic
239C4×D4×C11C2311yescharacteristic
240C4×D4×C11C2311yescharacteristic
241C4×D4×C11C2311yescharacteristic
242C4×D4×C11C2311yescharacteristic
243C4×D4×C11C2311yescharacteristic
244C11×#117C2311yescharacteristic
245C11×#117C2311yescharacteristic
246C2×C11×C22⋊C4—21no—
247C2×C11×C22⋊C4—21no—
248C2×C22⋊Dic11—21no—
249#66993—21no—
250#66993C2311yescharacteristic
251#66992—21no—
252#66992—21no—
253#66992—21no—
254#66992—21no—
255#66991—21no—
256#66991—21no—
257#66991C2311yescharacteristic
258#66991C2311yescharacteristic
259#66990—21no—
260#66990—21no—
261#66990—21no—
262#66989—21no—
263#66989C2311yescharacteristic
264#66988—21no—
265D4×Dic11—21no—
266D4×Dic11—21no—
267D4×Dic11—21no—
268D4×Dic11—21no—
269D4×Dic11C2311yescharacteristic
270D4×Dic11C2311yescharacteristic
271D4×Dic11C2311yescharacteristic
272D4×Dic11C2311yescharacteristic
273D4×Dic11C2311yescharacteristic
274D4×Dic11C2311yescharacteristic
275C2×#4324C2311yescharacteristic
276C2×#4324C2311yescharacteristic
277C2×#4324C2311yescharacteristic
278C2×#4324C2311yescharacteristic
279C2×#4323C2311yescharacteristic
280C2×#4323C2311yescharacteristic
281C2×#4323C2311yescharacteristic
282C2×#4323C2311yescharacteristic
283#66983—21no—
284#66983C2311yescharacteristic
285#66982—21no—
286#66982—21no—
287C4×C22⋊D11—21no—
288C4×C22⋊D11—21no—
289C4×C22⋊D11—21no—
290C4×C22⋊D11—21no—
291C4×C22⋊D11—21no—
292C4×C22⋊D11—21no—
293C4×C22⋊D11—21no—
294C4×C22⋊D11—21no—
295C4×C22⋊D11—21no—
296C4×C22⋊D11—21no—
297C2×(C2×D11)⋊C4—21no—
298C2×(C2×D11)⋊C4—21no—
299C2×C4⋊Dic11C2311yescharacteristic
300#66977—21no—
301#66977C2311yescharacteristic
302C2×Dic11⋊C4—21no—
303C2×Dic11⋊C4—21no—
304C2×C4×Dic11—21no—
305C2×C4×Dic11—21no—
306C2×C4×Dic11—21no—
307C2×C4×Dic11C2311yescharacteristic
308#66965—24no—
309#66964—24no—
310#66964—24no—
311D8×D11—24no—
312C2×Dic44C2311yescharacteristic
313C2×D88C2311yescharacteristic
314C2×#4314C2311yescharacteristic
315C2×#4314C2311yescharacteristic
316C2×#4313C2311yescharacteristic
317C2×#4313C2311yescharacteristic
318C2×C8×D11C2311yescharacteristic
319C2×C8×D11C2311yescharacteristic
320#66951—21no—
321#66951—21no—
322#66950—21no—
323#66950C2311yescharacteristic
324#66949—21no—
325#66949—21no—
326#66948C2311yescharacteristic
327#66947—21no—
328#66946—21no—
329#66946D411yescharacteristic
330#66946D411yescharacteristic
331#66946C2311yescharacteristic
332#66946C2311yescharacteristic
333#66946C2311yescharacteristic
334#66945—21no—
335#66945—21no—
336#66945C2311yescharacteristic
337#66945C2311yescharacteristic
338#66945C2311yescharacteristic
339C4⋊C4×D11—21no—
340C4⋊C4×D11C2311yescharacteristic
341C4⋊C4×D11C2311yescharacteristic
342C4⋊C4×D11C2311yescharacteristic
343#66943C2311yescharacteristic
344#66942—21no—
345#66941—21no—
346#66941C2311yescharacteristic
347#66940D411yescharacteristic
348#66940D411yescharacteristic
349#66940C2311yescharacteristic
350#66940C2311yescharacteristic
351#66940C2311yescharacteristic
352#66938—21no—
353#66938—21no—
354#66938—21no—
355#66938—21no—
356#66937—21no—
357#66937—21no—
358#66936—21no—
359#66936—21no—
360#66935—21no—
361(C22⋊D11)⋊C4—21no—
362(C22⋊D11)⋊C4—21no—
363(C22⋊D11)⋊C4—21no—
364(C22⋊D11)⋊C4—21no—
365(C22⋊D11)⋊C4—21no—
366(C22⋊D11)⋊C4—21no—
367(C22⋊D11)⋊C4—21no—
368(C22⋊D11)⋊C4—21no—
369(C22⋊D11)⋊C4—21no—
370(C22⋊D11)⋊C4—21no—
371(C22⋊D11)⋊C4—21no—
372(C22⋊D11)⋊C4—21no—
373(C22⋊D11)⋊C4—21no—
374(C22⋊D11)⋊C4—21no—
375(C22⋊D11)⋊C4—21no—
376(C22⋊D11)⋊C4—21no—
377(C22⋊D11)⋊C4—21no—
378(C22⋊D11)⋊C4D411yescharacteristic
379(C22⋊D11)⋊C4D411yescharacteristic
380(C22⋊D11)⋊C4D411yescharacteristic
381(C22⋊D11)⋊C4D411yescharacteristic
382C22⋊C4×D11—21no—
383C22⋊C4×D11—21no—
384C22⋊C4×D11—21no—
385C22⋊C4×D11—21no—
386C22⋊C4×D11—21no—
387#66932—21no—
388#66932—21no—
389#66931—21no—
390#66930—21no—
391#66930—21no—
392#66930—21no—
393#66930—21no—
394#66930—21no—
395#66930—21no—
396#66928C2311yescharacteristic
397C4×D44—21no—
398C4×D44C2311yescharacteristic
399C4×D44C2311yescharacteristic
400C4×D44C2311yescharacteristic
401#66925—21no—
402#66925C2311yescharacteristic
403#66925C2311yescharacteristic
404C42×D11—21no—
405C42×D11C2311yescharacteristic
406C42×D11C2311yescharacteristic
407#66922C2311yescharacteristic
408C4×Dic22—21no—
409C4×Dic22C2311yescharacteristic
410C4×Dic22C2311yescharacteristic
411C4×Dic22C2311yescharacteristic
412C11×#107C2311yescharacteristic
413C11×#107C2311yescharacteristic
414C11×#106C2311yescharacteristic
415C11×#106C2311yescharacteristic
416C11×C4⋊C8C2311yescharacteristic
417C11×C4⋊C8C2311yescharacteristic
418C11×#102C2311yescharacteristic
419C11×#102C2311yescharacteristic
420C11×#102C2311yescharacteristic
421C11×#102C2311yescharacteristic
422C11×#102C2311yescharacteristic
423C11×#102C2311yescharacteristic
424C11×#102C2311yescharacteristic
425C11×#102C2311yescharacteristic
426C11×C22⋊C8C2311yescharacteristic
427C11×C22⋊C8C2311yescharacteristic
428C11×#97C2311yescharacteristic
429C4×C8×C11C2311yescharacteristic
430#66896C2311yescharacteristic
431#66896C2311yescharacteristic
432#66896C2311yescharacteristic
433#66896C2311yescharacteristic
434#66896C2311yescharacteristic
435#66896C2311yescharacteristic
436#66896C2311yescharacteristic
437#66896C2311yescharacteristic
438C22⋊(C11⋊C8)C2311yescharacteristic
439C22⋊(C11⋊C8)C2311yescharacteristic
440#66885C2311yescharacteristic
441#66885C2311yescharacteristic
442#66885C2311yescharacteristic
443#66885C2311yescharacteristic
444(C2×D11)⋊C8C2311yescharacteristic
445(C2×D11)⋊C8C2311yescharacteristic
446(C2×D11)⋊C8C2311yescharacteristic
447(C2×D11)⋊C8C2311yescharacteristic
448#66881C2311yescharacteristic
449#66881C2311yescharacteristic
450#66881C2311yescharacteristic
451#66881C2311yescharacteristic
452#66880C2311yescharacteristic
453#66880C2311yescharacteristic
454#66880C2311yescharacteristic
455#66880C2311yescharacteristic
456#66879C2311yescharacteristic
457#66879C2311yescharacteristic
458#66879C2311yescharacteristic
459#66879C2311yescharacteristic
460Dic11⋊C8C2311yescharacteristic
461Dic11⋊C8C2311yescharacteristic
462Dic11⋊C8C2311yescharacteristic
463Dic11⋊C8C2311yescharacteristic
464#66874C2311yescharacteristic
465#66874C2311yescharacteristic
466#66874C2311yescharacteristic
467#66874C2311yescharacteristic
468#66873C2311yescharacteristic
469#66873C2311yescharacteristic
470#66873C2311yescharacteristic
471#66873C2311yescharacteristic
472#66872C2311yescharacteristic
473#66872C2311yescharacteristic
474#66872C2311yescharacteristic
475#66872C2311yescharacteristic
476#66871C2311yescharacteristic
477#66871C2311yescharacteristic
478#66871C2311yescharacteristic
479#66871C2311yescharacteristic
480C4⋊(C11⋊C8)C2311yescharacteristic
481C4⋊(C11⋊C8)C2311yescharacteristic
482#66867C2311yescharacteristic
483C4×C11⋊C8C2311yescharacteristic
484#60574—111nomaximal, Sylow
485C24×C11—21no—
486C23×D11—21no—
487C23×D11—21no—
488C23×D11—21no—
489C2×D4×C11—22no—
490C2×D4×C11—22no—
491C2×D4×C11—21no—
492C2×D4×C11—21no—
493C2×D4×C11—21no—
494C2×D4×C11—21no—
495C2×D4×C11—21no—
496C2×D4×C11C2411yescharacteristic
497C2×D4×C11C2411yescharacteristic
498C2×D4×C11C2411yescharacteristic
499C2×D4×C11C2411yescharacteristic
500C22×C4×C11—21no—
501C22×C4×C11—21no—
502C22×C4×C11—21no—
503C22×C4×C11—21no—
504C22×C4×C11—21no—
505C22×C4×C11—21no—
506C22×C4×C11C2411yescharacteristic
507C2×C22⋊D11—28no—
508C2×C22⋊D11—28no—
509C2×C22⋊D11—21no—
510C2×C22⋊D11—21no—
511C2×C22⋊D11—21no—
512C2×C22⋊D11—21no—
513C2×C22⋊D11—21no—
514C2×C22⋊D11—21no—
515C2×C22⋊D11—21no—
516C2×C22⋊D11—21no—
517C2×C22⋊D11—21no—
518C2×C22⋊D11—21no—
519C2×C22⋊D11—21no—
520C2×C22⋊D11—21no—
521C2×C22⋊D11C2×D411yescharacteristic
522C2×C22⋊D11C2×D411yescharacteristic
523C22×Dic11—21no—
524C22×Dic11—21no—
525C22×Dic11—21no—
526C22×Dic11—21no—
527C22×Dic11—21no—
528C22×Dic11—21no—
529C22×Dic11—21no—
530C22×Dic11—21no—
531C22×Dic11—21no—
532C22×Dic11—21no—
533C22×Dic11—82no—
534C22×Dic11C2×D411yescharacteristic
535C22×Dic11C2×D411yescharacteristic
536#4341—28no—
537#4341—22no—
538#4341—22no—
539#4341—22no—
540#4341—22no—
541#4341—22no—
542#4341—82no—
543#4341—82no—
544#4341#4114yescomplemented
545D4×D11—28no—
546D4×D11—22no—
547D4×D11—22no—
548D4×D11—22no—
549D4×D11—22no—
550D4×D11—22no—
551D4×D11#4114yescomplemented
552#4339—22no—
553#4339—22no—
554#4339—22no—
555#4339—22no—
556C2×D44—21no—
557C2×D44C2×D411yescharacteristic
558C2×D44C2411yescharacteristic
559C2×D44C2411yescharacteristic
560C2×C4×D11—21no—
561C2×C4×D11—21no—
562C2×C4×D11—21no—
563C2×C4×D11—21no—
564C2×C4×D11—21no—
565C2×C4×D11—21no—
566C2×C4×D11—21no—
567C2×C4×D11—21no—
568C2×C4×D11—21no—
569C2×C4×D11—21no—
570C2×C4×D11—82no—
571C2×C4×D11—82no—
572C2×C4×D11—82no—
573C2×C4×D11C2×D411yescharacteristic
574C2×C4×D11C2×D411yescharacteristic
575C2×C4×D11C2×D411yescharacteristic
576C2×C4×D11C2×D411yescharacteristic
577C2×C4×D11C2411yescharacteristic
578C2×C4×D11C2411yescharacteristic
579C2×Dic22—21no—
580C2×Dic22—21no—
581C2×Dic22C2×D411yescharacteristic
582C2×Dic22C2411yescharacteristic
583C2×Dic22C2411yescharacteristic
584C11×D8—22no—
585C11×D8—22no—
586C11×D8—22no—
587C11×D8—22no—
588C2×C8×C11C2411yescharacteristic
589C2×C8×C11C2411yescharacteristic
590C2×C8×C11C2411yescharacteristic
591C2×C8×C11C2411yescharacteristic
592C11×C4⋊C4—21no—
593C11×C4⋊C4—21no—
594C11×C4⋊C4C2×D411yescharacteristic
595C11×C4⋊C4C2×D411yescharacteristic
596C11×C4⋊C4C2411yescharacteristic
597C11×C4⋊C4C2411yescharacteristic
598C11×C4⋊C4C2411yescharacteristic
599C11×C4⋊C4C2411yescharacteristic
600C11×C22⋊C4—21no—
601C11×C22⋊C4—21no—
602C11×C22⋊C4—21no—
603C11×C22⋊C4—21no—
604C11×C22⋊C4—21no—
605C11×C22⋊C4—21no—
606C11×C22⋊C4—21no—
607C11×C22⋊C4—21no—
608C11×C22⋊C4—21no—
609C11×C22⋊C4C2×D411yescharacteristic
610C11×C22⋊C4C2×D411yescharacteristic
611C42×C11—21no—
612C42×C11C2411yescharacteristic
613C42×C11C2411yescharacteristic
614C22⋊Dic11—21no—
615C22⋊Dic11—21no—
616C22⋊Dic11—21no—
617C22⋊Dic11—21no—
618C22⋊Dic11—21no—
619C22⋊Dic11—21no—
620C22⋊Dic11—21no—
621C22⋊Dic11—21no—
622C22⋊Dic11—21no—
623C22⋊Dic11—21no—
624C22⋊Dic11—21no—
625#4324—22no—
626#4324—22no—
627#4324—22no—
628#4324—22no—
629#4323—22no—
630#4323—22no—
631#4323—22no—
632#4323—22no—
633(C2×D11)⋊C4—21no—
634(C2×D11)⋊C4—21no—
635(C2×D11)⋊C4—21no—
636(C2×D11)⋊C4—21no—
637(C2×D11)⋊C4—21no—
638(C2×D11)⋊C4—21no—
639(C2×D11)⋊C4—21no—
640(C2×D11)⋊C4—21no—
641(C2×D11)⋊C4—21no—
642(C2×D11)⋊C4—21no—
643(C2×D11)⋊C4—21no—
644(C2×D11)⋊C4—21no—
645(C2×D11)⋊C4—21no—
646(C2×D11)⋊C4—21no—
647(C2×D11)⋊C4C2×D411yescharacteristic
648(C2×D11)⋊C4C2×D411yescharacteristic
649(C2×D11)⋊C4C2×D411yescharacteristic
650(C2×D11)⋊C4C2×D411yescharacteristic
651C4⋊Dic11—21no—
652C4⋊Dic11—21no—
653C4⋊Dic11—21no—
654C4⋊Dic11—21no—
655C4⋊Dic11C2411yescharacteristic
656C4⋊Dic11C2411yescharacteristic
657C4⋊Dic11C2411yescharacteristic
658C4⋊Dic11C2411yescharacteristic
659Dic11⋊C4—21no—
660Dic11⋊C4—21no—
661Dic11⋊C4—21no—
662Dic11⋊C4—21no—
663Dic11⋊C4—21no—
664Dic11⋊C4—21no—
665Dic11⋊C4—21no—
666Dic11⋊C4—21no—
667Dic11⋊C4—21no—
668Dic11⋊C4—21no—
669Dic11⋊C4—21no—
670Dic11⋊C4—21no—
671Dic11⋊C4C2×D411yescharacteristic
672Dic11⋊C4C2×D411yescharacteristic
673Dic11⋊C4C2×D411yescharacteristic
674Dic11⋊C4C2×D411yescharacteristic
675C4×Dic11—21no—
676C4×Dic11—21no—
677C4×Dic11—21no—
678C4×Dic11—21no—
679C4×Dic11—21no—
680C4×Dic11—21no—
681C4×Dic11—21no—
682C4×Dic11—21no—
683C4×Dic11—21no—
684C4×Dic11C2×D411yescharacteristic
685C4×Dic11C2×D411yescharacteristic
686C4×Dic11C2×D411yescharacteristic
687C4×Dic11C2×D411yescharacteristic
688C4×Dic11C2×D411yescharacteristic
689C4×Dic11C2×D411yescharacteristic
690C4×Dic11C2411yescharacteristic
691C4×Dic11C2411yescharacteristic
692C2×C11⋊C8C2411yescharacteristic
693C2×C11⋊C8C2411yescharacteristic
694C2×C11⋊C8C2411yescharacteristic
695C2×C11⋊C8C2411yescharacteristic
696Dic44—22no—
697D88—22no—
698#4314—22no—
699#4314—22no—
700#4313—22no—
701#4313—22no—
702C8×D11—22no—
703C8×D11—22no—
704#3460—111no—
705C4×H(5,𝔽2)—111no—
706#3125—111no—
707#3125—111no—
708#3122—111no—
709#3122D1111yescharacteristic, complemented
710#3119—111no—
711#3119—111no—
712#3118—111no—
713#3118—111no—
714#3115—111no—
715#3115—111no—
716#3114—111no—
717#3114—111no—
718#3111—111no—
719#3111—111no—
720#3109—111no—
721#3109—111no—
722#3099—111no—
723#3096—111no—
724#3084—111no—
725#3081—111no—
726#3045—111no—
727#3041—111no—
728#3012—111no—
729#3008—111no—
730C4×AGL(1,ℤ/8)—111no—
731C4×AGL(1,ℤ/8)—111no—
732#2943—111no—
733C2×#442—111no—
734#2923—111no—
735C23×C11—24no—
736C23×C11—21no—
737C23×C11—21no—
738C23×C11—21no—
739C23×C11—21no—
740C23×C11—81no—
741C23×C11—81no—
742C23×C11C22×D411yescharacteristic
743C22×D11—21no—
744C22×D11—24no—
745C22×D11—24no—
746C22×D11—21no—
747C22×D11—42no—
748C22×D11—81no—
749C22×D11—81no—
750C22×D11—81no—
751C22×D11—81no—
752C22×D11—81no—
753C22×D11—81no—
754C22×D11C22×D411yescharacteristic
755C22×D11C22×D411yescharacteristic
756D4×C11—24no—
757D4×C11—21no—
758D4×C11—21no—
759D4×C11—21no—
760D4×C11—21no—
761D4×C11—21no—
762D4×C11—21no—
763D4×C11—81no—
764D4×C11—81no—
765D4×C11—81no—
766D4×C11—81no—
767D4×C11C2×#4112yes—
768D4×C11C2×#4112yes—
769C2×C4×C11—21no—
770C2×C4×C11—21no—
771C2×C4×C11—21no—
772C2×C4×C11—21no—
773C2×C4×C11—21no—
774C2×C4×C11—21no—
775C2×C4×C11—81no—
776C2×C4×C11—81no—
777C2×C4×C11—81no—
778C2×C4×C11—81no—
779C2×C4×C11—81no—
780C2×C4×C11—81no—
781C2×C4×C11C22×D411yescharacteristic
782C2×C4×C11C22×D411yescharacteristic
783C2×C4×C11C22×D411yescharacteristic
784C2×C4×C11C22×D411yescharacteristic
785C2×C4×C11C22×D411yescharacteristic
786C2×C4×C11C2511yescharacteristic
787C22⋊D11—24no—
788C22⋊D11—24no—
789C22⋊D11—24no—
790C22⋊D11—22no—
791C22⋊D11—24no—
792C22⋊D11—22no—
793C22⋊D11—24no—
794C22⋊D11—42no—
795C22⋊D11—42no—
796C22⋊D11—81no—
797C22⋊D11—81no—
798C22⋊D11—81no—
799C22⋊D11—81no—
800C22⋊D11—81no—
801C2×Dic11—24no—
802C2×Dic11—21no—
803C2×Dic11—24no—
804C2×Dic11—21no—
805C2×Dic11—21no—
806C2×Dic11—21no—
807C2×Dic11—21no—
808C2×Dic11—21no—
809C2×Dic11—41no—
810C2×Dic11—41no—
811C2×Dic11—42no—
812C2×Dic11—42no—
813C2×Dic11—42no—
814C2×Dic11—42no—
815C2×Dic11—42no—
816C2×Dic11—81no—
817C2×Dic11—81no—
818C2×Dic11—81no—
819C2×Dic11C22×D411yescharacteristic
820C2×Dic11C22×D411yescharacteristic
821C2×Dic11C22×D411yescharacteristic
822C2×Dic11C22×D411yescharacteristic
823C2×Dic11C22×D411yescharacteristic
824C2×Dic11C22×D411yescharacteristic
825D44—22no—
826D44—21no—
827D44—21no—
828D44—21no—
829D44—81no—
830D44C2×#4112yes—
831C4×D11—24no—
832C4×D11—21no—
833C4×D11—21no—
834C4×D11—41no—
835C4×D11—41no—
836C4×D11—41no—
837C4×D11—41no—
838C4×D11—42no—
839C4×D11—42no—
840C4×D11—81no—
841C4×D11—81no—
842C4×D11—81no—
843C4×D11—81no—
844C4×D11—81no—
845C4×D11—81no—
846C4×D11—81no—
847C4×D11C2×#4112yes—
848C4×D11C2×#4112yes—
849Dic22—21no—
850Dic22—22no—
851Dic22—21no—
852Dic22—21no—
853Dic22—81no—
854Dic22—81no—
855Dic22C2×#4112yes—
856C8×C11—21no—
857C8×C11—21no—
858C8×C11—21no—
859C8×C11—21no—
860C11⋊C8—21no—
861C11⋊C8—21no—
862C11⋊C8—21no—
863C11⋊C8—21no—
864C2×H(5,𝔽2)—111no—
865C2×AGL(1,ℤ/8)—111no—
866C2×AGL(1,ℤ/8)—111no—
867C2×#135—111no—
868C22×D8—111no—
869#544—111no—
870#542—111no—
871#542—111no—
872#542—221no—
873#540—111no—
874#540—221no—
875#540C2×D1111yescharacteristic, complemented
876#538—221no—
877#538—221no—
878#537—111no—
879#535—111no—
880#535—111no—
881#532—111no—
882#532—111no—
883#532—221no—
884#529—111no—
885#529—111no—
886#529—221no—
887#525—221no—
888#525—221no—
889#520—111no—
890#520—111no—
891#520—111no—
892#520—111no—
893#520—221no—
894#518—111no—
895#518—111no—
896#518—221no—
897#518—221no—
898#518—221no—
899#518C2×D1111yescharacteristic, complemented
900C4×#41—111no—
901C4×#41—111no—
902C4×#41—111no—
903C4×#41—111no—
904C4×#41—111no—
905C4×#41—221no—
906C2×C4×D4—111no—
907C2×C4×D4—111no—
908C2×C4×D4—111no—
909C2×C4×D4—111no—
910C2×C4×D4—221no—
911C2×C4×D4—221no—
912C2×C4×D4—221no—
913#485—111no—
914#485—111no—
915#483—111no—
916#483—111no—
917#482—111no—
918#482—111no—
919#482—111no—
920#482—111no—
921#482C2×D1111yescharacteristic, complemented
922#482C2×D1111yescharacteristic, complemented
923#481—111no—
924#481—111no—
925#481—111no—
926#481—111no—
927#480—111no—
928#480—111no—
929#479—111no—
930#479—111no—
931#478—111no—
932#478—111no—
933#478—111no—
934#478—111no—
935#478C2×D1111yescharacteristic, complemented
936#478C2×D1111yescharacteristic, complemented
937#476—111no—
938#476—111no—
939#476—111no—
940#476—111no—
941#475—111no—
942#475—111no—
943#474—111no—
944#474—111no—
945#464—111no—
946#464—111no—
947#463—111no—
948#463—111no—
949#463—111no—
950#463—111no—
951#463—111no—
952#463—111no—
953#460—111no—
954#460—111no—
955#459—111no—
956#459—111no—
957#459—111no—
958#459—111no—
959#459C2×D1111yescharacteristic, complemented
960#459C2×D1111yescharacteristic, complemented
961#452—111no—
962#452—111no—
963#450—111no—
964#450—111no—
965#449—111no—
966#449—111no—
967#449—111no—
968#449—111no—
969#449—111no—
970#449—111no—
971#447—111no—
972#447—111no—
973#447—111no—
974#447—111no—
975#447C2×D1111yescharacteristic
976#447C2×D1111yescharacteristic, complemented
977#442—111no—
978#442—111no—
979#442—111no—
980#442—111no—
981#442—111no—
982#442—111no—
983#442—111no—
984#442—111no—
985#442—111no—
986#442—111no—
987#442—111no—
988#442—111no—
989#442C2×D1111yescharacteristic, complemented
990#442C2×D1111yescharacteristic, complemented
991#441—111no—
992#441—111no—
993#440—111no—
994#440—111no—
995#440—111no—
996#440—111no—
997#440—111no—
998#440—111no—
999#440—111no—
1000#440—111no—
1001C4×SD16—111no—
1002C4×SD16—111no—
1003C4×SD16—111no—
1004C4×SD16—111no—
1005C4×D8—111no—
1006C4×D8—111no—
1007C4×D8C2×D1111yescharacteristic, complemented
1008C4×D8C2×D1111yescharacteristic, complemented
1009#433—111no—
1010#433—111no—
1011#433—111no—
1012#433C2×D1111yescharacteristic, complemented
1013#432—111no—
1014#432—111no—
1015#432—111no—
1016#432—111no—
1017#428—111no—
1018#428—111no—
1019#427—111no—
1020C2×#106—111no—
1021#424—111no—
1022#424—111no—
1023#418—111no—
1024#418—111no—
1025#417—111no—
1026#417—111no—
1027#416—111no—
1028#416—111no—
1029C2×#102—111no—
1030C2×#102—111no—
1031#408—111no—
1032#408—111no—
1033C4×M16—111no—
1034C2×#97—111no—
1035C22×C11—21no—
1036C22×C11—21no—
1037C22×C11—21no—
1038C22×C11—22no—
1039C22×C11—22no—
1040C22×C11—41no—
1041C22×C11—41no—
1042C22×C11—41no—
1043C22×C11—41no—
1044C22×C11—41no—
1045C22×C11—41no—
1046C22×C11—41no—
1047C22×C11—41no—
1048C22×C11—41no—
1049C22×C11—41no—
1050C22×C11—84no—
1051C22×C11C23×D411yescharacteristic
1052C2×D11—21no—
1053C2×D11—21no—
1054C2×D11—21no—
1055C2×D11—21no—
1056C2×D11—22no—
1057C2×D11—21no—
1058C2×D11—41no—
1059C2×D11—41no—
1060C2×D11—41no—
1061C2×D11—41no—
1062C2×D11—41no—
1063C2×D11—84no—
1064C2×D11—84no—
1065C2×D11—84no—
1066C2×D11#52512yes—
1067C4×C11—21no—
1068C4×C11—21no—
1069C4×C11—21no—
1070C4×C11—21no—
1071C4×C11—21no—
1072C4×C11—41no—
1073C4×C11—41no—
1074C4×C11—41no—
1075C4×C11—41no—
1076C4×C11C22×#4111yescharacteristic
1077C4×C11C22×#4111yescharacteristic
1078Dic11—21no—
1079Dic11—21no—
1080Dic11—21no—
1081Dic11—21no—
1082Dic11—21no—
1083Dic11—22no—
1084Dic11—41no—
1085Dic11—41no—
1086Dic11—41no—
1087Dic11—41no—
1088Dic11—41no—
1089Dic11#52512yes—
1090H(5,𝔽2)—224no—
1091H(5,𝔽2)—224no—
1092C2×#41—111no—
1093C2×#41—111no—
1094C2×#41—111no—
1095C2×#41—111no—
1096C2×#41—111no—
1097C2×#41—221no—
1098C2×#41—221no—
1099C2×#41—221no—
1100C22×D4—111no—
1101C22×D4—111no—
1102C22×D4—111no—
1103C22×D4—221no—
1104C22×D4—221no—
1105C22×D4—221no—
1106C22×D4C22×D1111yescharacteristic
1107C23×C4—221no—
1108C23×C4—221no—
1109C23×C4—221no—
1110C23×C4—221no—
1111AGL(1,ℤ/8)—224no—
1112AGL(1,ℤ/8)—224no—
1113#135—224no—
1114C2×Q16—111no—
1115C2×SD16—111no—
1116C2×SD16—111no—
1117C2×SD16—111no—
1118C2×SD16—111no—
1119C2×SD16—111no—
1120C2×SD16—111no—
1121C2×D8—111no—
1122C2×D8—111no—
1123C2×D8—111no—
1124C2×D8—111no—
1125C2×D8—111no—
1126C2×D8—224no—
1127C2×D8C22×D1111yescharacteristic
1128C2×D8C22×D1111yescharacteristic
1129C2×D8C22×D1111yescharacteristic
1130C2×D8C22×D1111yescharacteristic
1131C2×M16—111no—
1132C2×M16—111no—
1133C22×C8—111no—
1134C22×C8—111no—
1135C4⋊Q8—111no—
1136C4⋊Q8—111no—
1137C4⋊Q8—221no—
1138#127—111no—
1139#127—221no—
1140#127C22×D1111yescharacteristic
1141#126—221no—
1142#126—221no—
1143#126—221no—
1144#126—221no—
1145#125—111no—
1146#125—221no—
1147#125C22×D1111yescharacteristic
1148#124—111no—
1149#124—111no—
1150#124—221no—
1151#124—221no—
1152#124—221no—
1153#124—221no—
1154#124—221no—
1155#123—21no—
1156#123—21no—
1157#123—221no—
1158#123—221no—
1159#123—221no—
1160#123—221no—
1161#123—221no—
1162#123—221no—
1163C22⋊Q8—111no—
1164C22⋊Q8—111no—
1165C22⋊Q8—221no—
1166C22⋊Q8—221no—
1167C22⋊Q8—221no—
1168C22⋊Q8—221no—
1169C22⋊Q8—221no—
1170#121—21no—
1171#121—21no—
1172#121—111no—
1173#121—111no—
1174#121—111no—
1175#121—111no—
1176#121—221no—
1177#121—221no—
1178#121—221no—
1179#121—221no—
1180#121—221no—
1181#121—221no—
1182#121—221no—
1183#121—221no—
1184#121—221no—
1185#121C22×D1111yescharacteristic
1186#121C22×D1111yescharacteristic
1187#120—221no—
1188#120—221no—
1189#120—221no—
1190#120—221no—
1191C4×Q8—111no—
1192C4×Q8—111no—
1193C4×Q8—111no—
1194C4×Q8—111no—
1195C4×Q8—111no—
1196C4×Q8—111no—
1197C4×Q8—111no—
1198C4×Q8—111no—
1199C4×Q8—221no—
1200C4×D4—21no—
1201C4×D4—21no—
1202C4×D4—111no—
1203C4×D4—111no—
1204C4×D4—111no—
1205C4×D4—111no—
1206C4×D4—111no—
1207C4×D4—111no—
1208C4×D4—111no—
1209C4×D4—111no—
1210C4×D4—111no—
1211C4×D4—111no—
1212C4×D4—111no—
1213C4×D4—111no—
1214C4×D4—111no—
1215C4×D4—111no—
1216C4×D4—111no—
1217C4×D4—111no—
1218C4×D4—111no—
1219C4×D4—111no—
1220C4×D4—221no—
1221C4×D4—221no—
1222C4×D4—221no—
1223C4×D4—221no—
1224C4×D4—221no—
1225C4×D4—221no—
1226C4×D4—221no—
1227C4×D4—221no—
1228C4×D4—221no—
1229C4×D4—221no—
1230C4×D4—221no—
1231C4×D4—221no—
1232C4×D4—221no—
1233C4×D4—221no—
1234C4×D4—221no—
1235C4×D4—221no—
1236C4×D4—221no—
1237C4×D4—221no—
1238C4×D4—221no—
1239C4×D4—221no—
1240C4×D4—221no—
1241C4×D4—221no—
1242C4×D4—221no—
1243C4×D4—221no—
1244C4×D4—221no—
1245C4×D4—221no—
1246C4×D4—221no—
1247C4×D4—221no—
1248C4×D4—221no—
1249C4×D4—221no—
1250C4×D4—221no—
1251C4×D4—221no—
1252C4×D4—221no—
1253C4×D4C22×D1111yescharacteristic
1254C4×D4C22×D1111yescharacteristic
1255C4×D4C22×D1111yescharacteristic
1256C4×D4C22×D1111yescharacteristic
1257C4×D4C22×D1111yescharacteristic
1258C4×D4C22×D1111yescharacteristic
1259#117—111no—
1260#117—111no—
1261#117—111no—
1262#117—111no—
1263#117—111no—
1264#117—221no—
1265#117—221no—
1266#117—221no—
1267#117—221no—
1268#117—221no—
1269#117—221no—
1270#117—221no—
1271#117—221no—
1272#117—221no—
1273#117C22×D1111yescharacteristic
1274#117C22×D1111yescharacteristic
1275C2×C4⋊C4—111no—
1276C2×C4⋊C4—111no—
1277C2×C4⋊C4—111no—
1278C2×C4⋊C4—111no—
1279C2×C4⋊C4—221no—
1280C2×C4⋊C4—221no—
1281C2×C4⋊C4—221no—
1282C2×C22⋊C4—21no—
1283C2×C22⋊C4—21no—
1284C2×C22⋊C4—221no—
1285C2×C22⋊C4—221no—
1286C2×C22⋊C4—221no—
1287C2×C22⋊C4—221no—
1288C2×C22⋊C4—221no—
1289C2×C22⋊C4—221no—
1290C2×C22⋊C4—221no—
1291C2×C22⋊C4—221no—
1292C2×C42—111no—
1293C2×C42—111no—
1294C2×C42—111no—
1295C2×C42—221no—
1296C2×C42—221no—
1297C2×C42—221no—
1298C2×C42—221no—
1299#107—111no—
1300#107—111no—
1301#107—111no—
1302#107—111no—
1303#107C22×D1111yescharacteristic
1304#107C22×D1111yescharacteristic
1305#106—111no—
1306#106—111no—
1307#106—111no—
1308#106—111no—
1309#106—111no—
1310#106—111no—
1311#106—111no—
1312#106—111no—
1313#106C22×D1111yescharacteristic
1314#106C22×D1111yescharacteristic
1315C4⋊C8—111no—
1316C4⋊C8—111no—
1317C4⋊C8—111no—
1318C4⋊C8—111no—
1319C4⋊C8—111no—
1320C4⋊C8—111no—
1321C4⋊C8C22×D1111yescharacteristic
1322C4⋊C8C22×D1111yescharacteristic
1323#103—111no—
1324#103—111no—
1325#103—111no—
1326#103—111no—
1327#103—111no—
1328#103—111no—
1329#103—111no—
1330#103—111no—
1331#102—111no—
1332#102—111no—
1333#102—111no—
1334#102—111no—
1335#102—111no—
1336#102—111no—
1337#102—111no—
1338#102—111no—
1339#102—111no—
1340#102—111no—
1341#102—111no—
1342#102—111no—
1343#102—111no—
1344#102—111no—
1345#102—111no—
1346#102—111no—
1347#102C22×D1111yescharacteristic
1348#102C22×D1111yescharacteristic
1349#102C22×D1111yescharacteristic
1350#102C22×D1111yescharacteristic
1351#102C22×D1111yescharacteristic
1352#102C22×D1111yescharacteristic
1353#102C22×D1111yescharacteristic
1354#102C22×D1111yescharacteristic
1355C22⋊C8—111no—
1356C22⋊C8—111no—
1357C22⋊C8—111no—
1358C22⋊C8—111no—
1359C22⋊C8—111no—
1360C22⋊C8—111no—
1361C22⋊C8C22×D1111yescharacteristic
1362C22⋊C8C22×D1111yescharacteristic
1363#97—111no—
1364#97—111no—
1365#97—111no—
1366#97—111no—
1367#97—111no—
1368#97C22×D1111yescharacteristic
1369C4×C8—111no—
1370C4×C8C22×D1111yescharacteristic
1371C2×C11—42no—
1372C2×C11—42no—
1373C2×C11—41no—
1374C2×C11—81no—
1375C2×C11—81no—
1376C2×C11C2×#52511yescharacteristic
1377C2×C11#358511yescharacteristic
1378C2×C11#358511yescharacteristic
1379D11—22no—
1380D11—41no—
1381D11—42no—
1382D11—81no—
1383C24—21no—
1384C24—221no—
1385C24—221no—
1386C24—221no—
1387#41—114no—
1388#41—222no—
1389#41—222no—
1390#41—222no—
1391#41—222no—
1392#41—222no—
1393#41—222no—
1394#41—222no—
1395#41—222no—
1396#41—228no—
1397#41—222no—
1398#41—882no—
1399#41—882no—
1400C2×Q8—111no—
1401C2×Q8—111no—
1402C2×Q8—111no—
1403C2×Q8—221no—
1404C2×Q8—221no—
1405C2×D4—22no—
1406C2×D4—22no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—114no—
1413C2×D4—111no—
1414C2×D4—111no—
1415C2×D4—111no—
1416C2×D4—111no—
1417C2×D4—111no—
1418C2×D4—221no—
1419C2×D4—222no—
1420C2×D4—222no—
1421C2×D4—222no—
1422C2×D4—221no—
1423C2×D4—221no—
1424C2×D4—221no—
1425C2×D4—221no—
1426C2×D4—221no—
1427C2×D4—222no—
1428C2×D4—228no—
1429C2×D4—221no—
1430C2×D4—221no—
1431C2×D4—228no—
1432C2×D4—228no—
1433C2×D4—221no—
1434C2×D4—222no—
1435C2×D4—221no—
1436C2×D4—221no—
1437C2×D4—221no—
1438C2×D4—221no—
1439C2×D4C23×D1111yescharacteristic
1440C2×D4C23×D1111yescharacteristic
1441C2×D4C23×D1111yescharacteristic
1442C2×D4C23×D1111yescharacteristic
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—21no—
1448C22×C4—21no—
1449C22×C4—111no—
1450C22×C4—111no—
1451C22×C4—111no—
1452C22×C4—111no—
1453C22×C4—111no—
1454C22×C4—111no—
1455C22×C4—111no—
1456C22×C4—111no—
1457C22×C4—221no—
1458C22×C4—221no—
1459C22×C4—221no—
1460C22×C4—221no—
1461C22×C4—221no—
1462C22×C4—221no—
1463C22×C4—221no—
1464C22×C4—221no—
1465C22×C4—221no—
1466C22×C4—221no—
1467C22×C4—221no—
1468C22×C4—221no—
1469C22×C4—221no—
1470C22×C4—221no—
1471C22×C4—221no—
1472C22×C4—221no—
1473C22×C4—221no—
1474C22×C4—221no—
1475C22×C4—221no—
1476C22×C4—221no—
1477C22×C4—882no—
1478C22×C4—882no—
1479C22×C4—882no—
1480C22×C4—882no—
1481C22×C4C23×D1111yescharacteristic
1482Q16—222no—
1483SD16—222no—
1484SD16—222no—
1485SD16—222no—
1486SD16—222no—
1487SD16—222no—
1488SD16—222no—
1489D8—22no—
1490D8—22no—
1491D8—22no—
1492D8—22no—
1493D8—222no—
1494D8—222no—
1495D8—222no—
1496D8—222no—
1497D8—222no—
1498M16—222no—
1499M16—222no—
1500C2×C8—111no—
1501C2×C8—111no—
1502C2×C8—111no—
1503C2×C8—111no—
1504C2×C8—222no—
1505C2×C8—222no—
1506C2×C8C23×D1111yescharacteristic
1507C2×C8C23×D1111yescharacteristic
1508C2×C8C23×D1111yescharacteristic
1509C2×C8C23×D1111yescharacteristic
1510C4⋊C4—21no—
1511C4⋊C4—21no—
1512C4⋊C4—111no—
1513C4⋊C4—111no—
1514C4⋊C4—111no—
1515C4⋊C4—111no—
1516C4⋊C4—111no—
1517C4⋊C4—111no—
1518C4⋊C4—111no—
1519C4⋊C4—111no—
1520C4⋊C4—221no—
1521C4⋊C4—221no—
1522C4⋊C4—221no—
1523C4⋊C4—221no—
1524C4⋊C4—221no—
1525C4⋊C4—221no—
1526C4⋊C4—221no—
1527C4⋊C4—221no—
1528C4⋊C4—221no—
1529C4⋊C4—221no—
1530C4⋊C4—221no—
1531C4⋊C4—221no—
1532C4⋊C4—221no—
1533C4⋊C4—221no—
1534C4⋊C4—221no—
1535C4⋊C4—221no—
1536C4⋊C4D4×D1111yescharacteristic
1537C4⋊C4D4×D1111yescharacteristic
1538C4⋊C4C23×D1111yescharacteristic
1539C4⋊C4C23×D1111yescharacteristic
1540C4⋊C4C23×D1111yescharacteristic
1541C4⋊C4C23×D1111yescharacteristic
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—111no—
1552C22⋊C4—111no—
1553C22⋊C4—111no—
1554C22⋊C4—111no—
1555C22⋊C4—221no—
1556C22⋊C4—221no—
1557C22⋊C4—221no—
1558C22⋊C4—221no—
1559C22⋊C4—221no—
1560C22⋊C4—221no—
1561C22⋊C4—221no—
1562C22⋊C4—221no—
1563C22⋊C4—221no—
1564C22⋊C4—221no—
1565C22⋊C4—221no—
1566C22⋊C4—221no—
1567C22⋊C4—221no—
1568C22⋊C4—221no—
1569C22⋊C4—221no—
1570C22⋊C4—221no—
1571C22⋊C4—221no—
1572C22⋊C4—221no—
1573C22⋊C4—221no—
1574C22⋊C4—221no—
1575C22⋊C4—221no—
1576C22⋊C4—221no—
1577C22⋊C4—221no—
1578C22⋊C4—221no—
1579C22⋊C4—221no—
1580C22⋊C4D4×D1111yescharacteristic
1581C22⋊C4D4×D1111yescharacteristic
1582C42—21no—
1583C42—111no—
1584C42—111no—
1585C42—111no—
1586C42—111no—
1587C42—111no—
1588C42—111no—
1589C42—111no—
1590C42—111no—
1591C42—221no—
1592C42—221no—
1593C42—221no—
1594C42—221no—
1595C42—221no—
1596C42—221no—
1597C42—221no—
1598C42—221no—
1599C42—221no—
1600C42C23×D1111yescharacteristic
1601C42C23×D1111yescharacteristic
1602C11#6057411yescharacteristic, complemented, Sylow
1603C23—24no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—81no—
1609C23—81no—
1610C23—111no—
1611C23—111no—
1612C23—224no—
1613C23—224no—
1614C23—221no—
1615C23—221no—
1616C23—442no—
1617C23—881no—
1618C23—881no—
1619C23—881no—
1620C23—881no—
1621C23—881no—
1622C23—881no—
1623C23C2×D4×D1111yescharacteristic
1624Q8—112no—
1625Q8—222no—
1626Q8—221no—
1627Q8—221no—
1628Q8—221no—
1629Q8—881no—
1630Q8—881no—
1631D4—24no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—21no—
1637D4—21no—
1638D4—81no—
1639D4—81no—
1640D4—81no—
1641D4—81no—
1642D4—112no—
1643D4—222no—
1644D4—222no—
1645D4—224no—
1646D4—222no—
1647D4—224no—
1648D4—224no—
1649D4—224no—
1650D4—224no—
1651D4—221no—
1652D4—221no—
1653D4—221no—
1654D4—442no—
1655D4—442no—
1656D4—881no—
1657D4—881no—
1658D4—881no—
1659D4—881no—
1660D4—881no—
1661D4—881no—
1662D4#41×D1112yes—
1663D4#41×D1112yes—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—81no—
1671C2×C4—81no—
1672C2×C4—81no—
1673C2×C4—81no—
1674C2×C4—81no—
1675C2×C4—81no—
1676C2×C4—111no—
1677C2×C4—112no—
1678C2×C4—112no—
1679C2×C4—111no—
1680C2×C4—111no—
1681C2×C4—111no—
1682C2×C4—111no—
1683C2×C4—111no—
1684C2×C4—224no—
1685C2×C4—224no—
1686C2×C4—224no—
1687C2×C4—221no—
1688C2×C4—221no—
1689C2×C4—221no—
1690C2×C4—221no—
1691C2×C4—221no—
1692C2×C4—221no—
1693C2×C4—221no—
1694C2×C4—221no—
1695C2×C4—441no—
1696C2×C4—441no—
1697C2×C4—441no—
1698C2×C4—441no—
1699C2×C4—442no—
1700C2×C4—442no—
1701C2×C4—442no—
1702C2×C4—441no—
1703C2×C4—441no—
1704C2×C4—442no—
1705C2×C4—442no—
1706C2×C4—442no—
1707C2×C4—442no—
1708C2×C4—881no—
1709C2×C4—881no—
1710C2×C4—881no—
1711C2×C4—881no—
1712C2×C4—881no—
1713C2×C4—881no—
1714C2×C4—881no—
1715C2×C4—881no—
1716C2×C4—881no—
1717C2×C4—881no—
1718C2×C4C2×D4×D1111yescharacteristic
1719C2×C4C2×D4×D1111yescharacteristic
1720C2×C4C2×D4×D1111yescharacteristic
1721C2×C4C2×D4×D1111yescharacteristic
1722C2×C4C2×D4×D1111yescharacteristic
1723C2×C4C24×D1111yescharacteristic
1724C8—21no—
1725C8—21no—
1726C8—21no—
1727C8—21no—
1728C8—221no—
1729C8—221no—
1730C8—221no—
1731C8—221no—
1732C22—21no—
1733C22—22no—
1734C22—22no—
1735C22—21no—
1736C22—21no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—84no—
1748C22—112no—
1749C22—221no—
1750C22—221no—
1751C22—222no—
1752C22—221no—
1753C22—221no—
1754C22—221no—
1755C22—441no—
1756C22—441no—
1757C22—441no—
1758C22—441no—
1759C22—441no—
1760C22—884no—
1761C22—884no—
1762C22—884no—
1763C22C22×D4×D1111yescharacteristic
1764C4—21no—
1765C4—21no—
1766C4—21no—
1767C4—21no—
1768C4—21no—
1769C4—41no—
1770C4—41no—
1771C4—41no—
1772C4—41no—
1773C4—112no—
1774C4—221no—
1775C4—222no—
1776C4—221no—
1777C4—221no—
1778C4—221no—
1779C4—221no—
1780C4—441no—
1781C4—441no—
1782C4—441no—
1783C4—441no—
1784C4—441no—
1785C4C2×#41×D1111yescharacteristic
1786C4C2×#41×D1111yescharacteristic
1787C2—41no—
1788C2—42no—
1789C2—42no—
1790C2—81no—
1791C2—81no—
1792C2—222no—
1793C2—441no—
1794C2—442no—
1795C2—881no—
1796C2D11×#52511yescharacteristic
1797C2#1308339111yescharacteristic
1798C2#1308339111yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3122C2
socleC22×C11C23×D4
hypercenter#3122D11
hypocenterC11#60574
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ #117 ◁ #3122

Complements

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

NH ≅ G/Ntype
1. #13082031C2semidirect
2. #13081820C2semidirect
3. #13078897C2semidirect
4. #13078895C2semidirect
5. #13078858C2semidirect
6. #13078811C2semidirect
7. #13078809C2semidirect
8. #13078800C2semidirect
9. #13078796C2semidirect
10. #13078764C2semidirect
11. #13078762C2semidirect
12. #13078759C2semidirect
13. #13078749C2semidirect
14. #13078730C2semidirect
15. #13078720C2semidirect
16. #13078706C2semidirect
17. #13078702C2semidirect
18. #13078608C2semidirect
19. #13078569C2semidirect
20. #13078479C2semidirect
21. #13078446C2semidirect
22. #13078150C2semidirect
23. #13078114C2semidirect
24. #13077915C2semidirect
25. #13077879C2semidirect
26. C4×#66964C2semidirect
27. C4×#66964C2semidirect
28. #13077413C2semidirect
29. D11×#442C2semidirect
30. #13077264C2semidirect
31. C11×#3122C2semidirect
33. C11×#540C22semidirect
34. C11×#518C22semidirect
35. C2×D4×Dic11C22semidirect
40. #10623247C22semidirect
41. #10623246C22semidirect
42. #10623222C22semidirect
43. #10623220C22semidirect
53. #10623131C22semidirect
55. #10623127C22semidirect
56. #10623093C22semidirect
57. #10623092C22semidirect
60. #10623077C22semidirect
63. #10623076C22semidirect
66. C4×D4×D11C22semidirect
67. C4×D4×D11C22semidirect
70. C4×#4341C22semidirect
71. C4×#4341C22semidirect
72. #10623065C22semidirect
74. #10623054C22semidirect
76. #10623053C22semidirect
81. C11×#482C22semidirect
82. C11×#482C22semidirect
83. C11×#478C22semidirect
84. C11×#478C22semidirect
85. C11×#459C22semidirect
86. C11×#459C22semidirect
88. C11×#447C22semidirect
89. C11×#442C22semidirect
90. C11×#442C22semidirect
91. C4×C11×D8C22semidirect
92. C4×C11×D8C22semidirect
93. C11×#433C22semidirect
94. #10622831C22semidirect
97. #10622771C22semidirect
99. #10622769C22semidirect
100. #10622766C22semidirect
101. #10622766C22semidirect
102. #10622765C22semidirect
103. #10622765C22semidirect
104. #10622765C22semidirect
105. #10622765C22semidirect
106. #10622763C22semidirect
107. #10622763C22semidirect
108. #10622688C22semidirect
109. #10622685C22semidirect
110. #10622679C22semidirect
111. #10622676C22semidirect
113. #10622650C22semidirect
114. #10622647C22semidirect
115. #10622646C22semidirect
116. #10622631C22semidirect
117. #10622631C22semidirect
118. C4×#4324C22semidirect
119. C4×#4324C22semidirect
120. #10622629C22semidirect
121. #10622629C22semidirect
122. #10622627C22semidirect
123. #10622627C22semidirect
124. C4×#4323C22semidirect
125. C4×#4323C22semidirect
126. #10622621C22semidirect
127. #10622620C22semidirect
128. #10622616C22semidirect
129. #10622613C22semidirect
130. #10622609C22semidirect
131. #10622503C22semidirect
132. #10622502C22semidirect
133. #10622502C22semidirect
134. #10622501C22semidirect
135. #10622495C22semidirect
136. #10622494C22semidirect
137. #10622494C22semidirect
138. #10622490C22semidirect
139. #10622484C22semidirect
140. #10622482C22semidirect
141. #10622479C22semidirect
142. #10622475C22semidirect
143. #10622473C22semidirect
144. D11×#106C22semidirect
145. #10622467C22semidirect
146. #10622466C22semidirect
147. #10622464C22semidirect
148. #10622458C22semidirect
149. #10622457C22semidirect
150. #10622455C22semidirect
151. #10622452C22semidirect
152. #10622452C22semidirect
153. #10622448C22semidirect
154. #10622448C22semidirect
155. #10622400C22semidirect
156. #10622399C22semidirect
157. #10622398C22semidirect
158. #10622398C22semidirect
159. #10622398C22semidirect
160. #10622398C22semidirect
161. #10622396C22semidirect
163. #10622392C22semidirect
164. #10622392C22semidirect
165. #10622390C22semidirect
166. #10622390C22semidirect
167. #10622389C22semidirect
170. #10622385C22semidirect
172. #10622384C22semidirect
174. #10622383C22semidirect
176. D11×#102C22semidirect
177. #10622380C22semidirect
178. #10622376C22semidirect
179. #10622376C22semidirect
180. #10622375C22semidirect
181. #10622374C22semidirect
182. #10622374C22semidirect
183. #10622370C22semidirect
184. #10622370C22semidirect
185. #10622370C22semidirect
186. #10622370C22semidirect
187. #10622348C22semidirect
189. #10622346C22semidirect
192. #10622334C22semidirect
193. #10622332C22semidirect
194. #10622332C22semidirect
195. #10622329C22semidirect
196. #10622324C22semidirect
197. #10622322C22semidirect
198. D11×#97C22semidirect
199. C4×#4314C22semidirect
200. C4×#4314C22semidirect
201. #10622303C22semidirect
202. C4×#4313C22semidirect
544. #4341#41semidirect
551. D4×D11#41semidirect
709. #3122D11semidirect
875. #540C2×D11semidirect
899. #518C2×D11semidirect
921. #482C2×D11semidirect
922. #482C2×D11semidirect
935. #478C2×D11semidirect
936. #478C2×D11semidirect
959. #459C2×D11semidirect
960. #459C2×D11semidirect
976. #447C2×D11semidirect
989. #442C2×D11semidirect
990. #442C2×D11semidirect
1007. C4×D8C2×D11semidirect
1008. C4×D8C2×D11semidirect
1012. #433C2×D11semidirect
1602. C11#60574semidirect

Maximal subgroups

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

subgroupindex
#130820312
#130818202
#130788972
#130788952
#130788582
#130788112
#130788092
#130788002
#130787962
#130787642
#130787622
#130787592
#130787492
#130787302
#130787202
#130787062
#130787022
#130786082
#130785692
#130784792
#130784462
#130781502
#130781142
#130779152
#130778792
C4×#669642
#130774132
D11×#4422
#130772642
C11×#31222
#6057411