Finite Group Databasebeta

← #15630924

Subgroups — #15630924

Order 2816.

2188 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D11×#553C211yesmaximal, characteristic, complemented
2D4×#4341C211yesmaximal, characteristic, complemented
3#13080875C211yesmaximal, characteristic, complemented
4#13080867C211yesmaximal, characteristic, complemented
5#13080821C211yesmaximal, characteristic, complemented
6#13080813C211yesmaximal, characteristic, complemented
7#13080789C211yesmaximal, characteristic, complemented
8#13080781C211yesmaximal, characteristic, complemented
9#13080757C211yesmaximal, characteristic, complemented
10#13080629C211yesmaximal, characteristic, complemented
11#13080621C211yesmaximal, characteristic, complemented
12#13080597C211yesmaximal, characteristic, complemented
13#13080589C211yesmaximal, characteristic, complemented
14#13080524C211yesmaximal, characteristic, complemented
15#13080516C211yesmaximal, characteristic, complemented
16#13080470C211yesmaximal, characteristic, complemented
17#13080462C211yesmaximal, characteristic, complemented
18#13079015C211yesmaximal, characteristic, complemented
19#13078544C211yesmaximal, characteristic, complemented
20#13078538C211yesmaximal, characteristic, complemented
21#13078433C211yesmaximal, characteristic, complemented
22#13078234C211yesmaximal, characteristic, complemented
23#13078232C211yesmaximal, characteristic, complemented
24#13078075C211yesmaximal, characteristic, complemented
25#13077863C211yesmaximal, characteristic, complemented
26#13077863C211yesmaximal, characteristic, complemented
27#13077427C211yesmaximal, characteristic, complemented
28#13077349C211yesmaximal, characteristic, complemented
29#13077130C211yesmaximal, characteristic, complemented
30C2×#10622384C211yesmaximal, characteristic, complemented
31C11×#3318C211yesmaximal, characteristic, complemented
32C22×#4341C2211yescharacteristic
33C22×#4341C2211yescharacteristic
34C11×#553C2211yescharacteristic
35D42×C11C2211yescharacteristic, complemented
36#10623337C2211yescharacteristic, complemented
37#10623337C2211yescharacteristic, complemented
38D4×C22⋊D11—21no—
39C2×D4×Dic11—21no—
40C2×#66964C2211yescharacteristic
41C2×#66964C2211yescharacteristic, complemented
42C2×#66964C2211yescharacteristic, complemented
43C2×M16×D11C2211yescharacteristic, complemented
44C22×#4313C2211yescharacteristic, complemented
45#10623249C2211yescharacteristic, complemented
46#10623247C2211yescharacteristic
47#10623240—21no—
48D11×#126—21no—
49#10623226C2211yescharacteristic, complemented
50D11×#125C2211yescharacteristic, complemented
51#10623192—21no—
52D11×#123—21no—
53#10623149C2211yescharacteristic, complemented
54#10623145C2211yescharacteristic, complemented
55#10623142—21no—
56#10623137C2211yescharacteristic
57#10623137C2211yescharacteristic
58D11×#121—21no—
59D11×#121C2211yescharacteristic, complemented
60D11×#121C2211yescharacteristic, complemented
61#10623132—21no—
62#10623129C2211yescharacteristic, complemented
63#10623129C2211yescharacteristic, complemented
64#10623127—21no—
65#10623122—21no—
66#10623122—21no—
67#10623117—21no—
68#10623117—21no—
69#10623096C2211yescharacteristic
70#10623089C2211yescharacteristic, complemented
71#10623086C2211yescharacteristic, complemented
72C4×D4×D11—21no—
73C4×D4×D11C2211yescharacteristic
74C4×D4×D11C2211yescharacteristic, complemented
75#10623071—21no—
76D4×Dic22C2211yescharacteristic, complemented
77C4×#4341C2211yescharacteristic
78#10623061C2211yescharacteristic, complemented
79D11×#117C2211yescharacteristic, complemented
80#10623045C2211yescharacteristic, complemented
81C2×C4⋊C4×D11C2211yescharacteristic, complemented
82C11×#490C2211yescharacteristic, complemented
83C11×#482C2211yescharacteristic, complemented
84C11×#481C2211yescharacteristic, complemented
85C11×#478C2211yescharacteristic, complemented
86C11×#469C2211yescharacteristic, complemented
87C11×#466C2211yescharacteristic, complemented
88C11×#459C2211yescharacteristic, complemented
89C11×#447C2211yescharacteristic, complemented
90C11×#447C2211yescharacteristic, complemented
91C11×#442C2211yescharacteristic, complemented
92C11×#435C2211yescharacteristic, complemented
93C11×#418C2211yescharacteristic, complemented
94C2×C11×#102C2211yescharacteristic, complemented
95#10622830C2211yescharacteristic, complemented
96#10622830C2211yescharacteristic, complemented
97#10622828C2211yescharacteristic, complemented
98C2×#66896C2211yescharacteristic, complemented
99#10622772C2211yescharacteristic, complemented
100#10622771C2211yescharacteristic, complemented
101#10622771C2211yescharacteristic, complemented
102#10622771C2211yescharacteristic, complemented
103#10622771C2211yescharacteristic, complemented
104#10622770C2211yescharacteristic, complemented
105#10622766C2211yescharacteristic, complemented
106#10622766C2211yescharacteristic, complemented
107D8×Dic11C2211yescharacteristic, complemented
108#10622747C2211yescharacteristic, complemented
109#10622741C2211yescharacteristic, complemented
110#10622733C2211yescharacteristic, complemented
111#10622727C2211yescharacteristic, complemented
112C8×C22⋊D11C2211yescharacteristic, complemented
113C2×#66880C2211yescharacteristic, complemented
114#10622685C2211yescharacteristic, complemented
115#10622684C2211yescharacteristic, complemented
116#10622682C2211yescharacteristic, complemented
117#10622676C2211yescharacteristic, complemented
118#10622655C2211yescharacteristic, complemented
119#10622654C2211yescharacteristic, complemented
120#10622653C2211yescharacteristic, complemented
121#10622653C2211yescharacteristic, complemented
122#10622652C2211yescharacteristic, complemented
123#10622651C2211yescharacteristic, complemented
124#10622648C2211yescharacteristic, complemented
125#10622647C2211yescharacteristic, complemented
126#10622632C2211yescharacteristic, complemented
127#10622631C2211yescharacteristic, complemented
128#10622627C2211yescharacteristic, complemented
129#10622624C2211yescharacteristic, complemented
130#10622622C2211yescharacteristic, complemented
131#10622617C2211yescharacteristic, complemented
132#10622609C2211yescharacteristic, complemented
133#10622583C2211yescharacteristic, complemented
134C2×#66874C2211yescharacteristic, complemented
135#10622501C2211yescharacteristic, complemented
136#10622499C2211yescharacteristic, complemented
137#10622494C2211yescharacteristic, complemented
138#10622490C2211yescharacteristic, complemented
139#10622480C2211yescharacteristic, complemented
140#10622477C2211yescharacteristic, complemented
141#10622475C2211yescharacteristic, complemented
142#10622475C2211yescharacteristic, complemented
143#10622474C2211yescharacteristic, complemented
144#10622474C2211yescharacteristic, complemented
145#10622470C2211yescharacteristic, complemented
146#10622465C2211yescharacteristic, complemented
147#10622454C2211yescharacteristic, complemented
148#10622450C2211yescharacteristic, complemented
149#10622449C2211yescharacteristic, complemented
150#10622442C2211yescharacteristic, complemented
151#10622400C2211yescharacteristic, complemented
152#10622400C2211yescharacteristic, complemented
153#10622397C2211yescharacteristic, complemented
154#10622395C2211yescharacteristic, complemented
155#10622394C2211yescharacteristic, complemented
156#10622394C2211yescharacteristic, complemented
157#10622394C2211yescharacteristic, complemented
158#10622394C2211yescharacteristic, complemented
159#10622393C2211yescharacteristic, complemented
160#10622392C2211yescharacteristic, complemented
161#10622391C2211yescharacteristic, complemented
162#10622388C2211yescharacteristic, complemented
163#10622387C2211yescharacteristic, complemented
164#10622387C2211yescharacteristic, complemented
165#10622385C2211yescharacteristic, complemented
166#10622385C2211yescharacteristic, complemented
167#10622385C2211yescharacteristic, complemented
168#10622385C2211yescharacteristic, complemented
169#10622384C2211yescharacteristic
170#10622384C2211yescharacteristic
171#10622384C2211yescharacteristic
172#10622384C2211yescharacteristic, complemented
173#10622384C2211yescharacteristic, complemented
174#10622384C2211yescharacteristic, complemented
175#10622384C2211yescharacteristic, complemented
176#10622384C2211yescharacteristic, complemented
177#10622384C2211yescharacteristic, complemented
178#10622384C2211yescharacteristic, complemented
179#10622384C2211yescharacteristic, complemented
180#10622384C2211yescharacteristic, complemented
181#10622384C2211yescharacteristic, complemented
182#10622383C2211yescharacteristic, complemented
183#10622381C2211yescharacteristic, complemented
184#10622381C2211yescharacteristic, complemented
185#10622381C2211yescharacteristic, complemented
186#10622381C2211yescharacteristic, complemented
187#10622379C2211yescharacteristic, complemented
188#10622376C2211yescharacteristic, complemented
189#10622371C2211yescharacteristic, complemented
190#10622369C2211yescharacteristic, complemented
191#10622351C2211yescharacteristic, complemented
192#10622351C2211yescharacteristic, complemented
193#10622342C2211yescharacteristic, complemented
194#10622339C2211yescharacteristic, complemented
195#10622339C2211yescharacteristic, complemented
196(C22⋊D11)⋊C8C2211yescharacteristic, complemented
197#10622336C2211yescharacteristic, complemented
198#10622335C2211yescharacteristic, complemented
199#10622323C2211yescharacteristic, complemented
200#10622320C2211yescharacteristic, complemented
201#10622319C2211yescharacteristic, complemented
202#10622316C2211yescharacteristic, complemented
203C22×D4×C11—21no—
204C22×D4×C11C2311yescharacteristic
205C22×D4×C11C2311yescharacteristic
206C22×C22⋊D11—21no—
207C22×C22⋊D11—21no—
208C23×Dic11—21no—
209C23×Dic11—21no—
210C2×#4341—24no—
211C2×#4341—24no—
212C2×#4341—21no—
213C2×#4341—21no—
214C2×#4341—21no—
215C2×#4341—21no—
216C2×#4341—42no—
217C2×#4341—42no—
218C2×#4341C2311yescharacteristic
219C2×#4341C2311yescharacteristic
220C2×#4341C2311yescharacteristic
221C2×#4341C2311yescharacteristic
222C2×#4341C2311yescharacteristic
223C2×#4341C2311yescharacteristic
224C2×#4341C2311yescharacteristic
225C2×D4×D11—21no—
226C2×D4×D11—21no—
227C2×D4×D11D411yescharacteristic
228C2×D4×D11C2311yescharacteristic
229C22×C4×D11—21no—
230C22×C4×D11—21no—
231C22×C4×D11C2311yescharacteristic
232C22×C4×D11C2311yescharacteristic
233C22×Dic22C2311yescharacteristic
234C22×Dic22C2311yescharacteristic
235C2×C11×D8C2311yescharacteristic
236C2×C11×D8C2311yescharacteristic
237C2×C11×D8C2311yescharacteristic
238C2×C11×M16C2311yescharacteristic
239C22×C8×C11C2311yescharacteristic
240C11×#127C2311yescharacteristic
241C11×#126—21no—
242C11×#125C2311yescharacteristic
243C11×#123—21no—
244C11×#121—21no—
245C11×#121—21no—
246C11×#121C2311yescharacteristic
247C11×#121C2311yescharacteristic
248C11×#121C2311yescharacteristic
249C11×#121C2311yescharacteristic
250C11×#120—21no—
251C11×#120—21no—
252C4×D4×C11—21no—
253C4×D4×C11C2311yescharacteristic
254C4×D4×C11C2311yescharacteristic
255C4×D4×C11C2311yescharacteristic
256C11×#117C2311yescharacteristic
257C2×C11×C4⋊C4C2311yescharacteristic
258#67006—21no—
259#67006—21no—
260C2×C22⋊Dic11—21no—
261C2×C22⋊Dic11—21no—
262#66993—21no—
263#66992—21no—
264#66992—21no—
265#66992—21no—
266#66992—21no—
267#66992—21no—
268#66992—21no—
269#66992—21no—
270#66992—21no—
271#66992—21no—
272#66992—21no—
273#66991—21no—
274#66991—21no—
275#66991—21no—
276#66991C2311yescharacteristic
277#66991C2311yescharacteristic
278#66991C2311yescharacteristic
279#66991C2311yescharacteristic
280#66990—21no—
281#66990—21no—
282#66989C2311yescharacteristic
283#66989C2311yescharacteristic
284#66988—21no—
285#66988—21no—
286#66988—21no—
287D4×Dic11—21no—
288D4×Dic11—21no—
289D4×Dic11—21no—
290D4×Dic11—21no—
291D4×Dic11—21no—
292D4×Dic11—21no—
293D4×Dic11—21no—
294D4×Dic11—21no—
295D4×Dic11—21no—
296D4×Dic11D411yescharacteristic
297D4×Dic11C2311yescharacteristic
298D4×Dic11C2311yescharacteristic
299C2×#4324C2311yescharacteristic
300C2×#4324C2311yescharacteristic
301C2×#4324C2311yescharacteristic
302C2×#4323C2311yescharacteristic
303C2×#4323C2311yescharacteristic
304C2×#4323C2311yescharacteristic
305#66983—21no—
306#66983—21no—
307#66983C2311yescharacteristic
308#66983C2311yescharacteristic
309#66982—21no—
310C4×C22⋊D11—21no—
311C4×C22⋊D11—21no—
312C4×C22⋊D11—21no—
313C4×C22⋊D11—21no—
314C4×C22⋊D11C2311yescharacteristic
315C4×C22⋊D11C2311yescharacteristic
316#66979C2311yescharacteristic
317C2×C4⋊Dic11—21no—
318C2×C4⋊Dic11C2311yescharacteristic
319#66977C2311yescharacteristic
320#66977C2311yescharacteristic
321C2×Dic11⋊C4—21no—
322C2×C4×Dic11—21no—
323C2×#4318C2311yescharacteristic
324C22×C11⋊C8C2311yescharacteristic
325#66964—24no—
326#66964—42no—
327#66964—42no—
328M16×D11—42no—
329C2×#4314C2311yescharacteristic
330C2×#4314C2311yescharacteristic
331C2×#4314C2311yescharacteristic
332C2×#4313—42no—
333C2×#4313C2311yescharacteristic
334C2×#4313C2311yescharacteristic
335C2×#4313C2311yescharacteristic
336C2×#4313C2311yescharacteristic
337C2×#4313C2311yescharacteristic
338C2×#4313C2311yescharacteristic
339C2×C8×D11C2311yescharacteristic
340C2×C8×D11C2311yescharacteristic
341#66951—21no—
342#66951—21no—
343#66951—21no—
344#66950C2311yescharacteristic
345#66950C2311yescharacteristic
346#66948—21no—
347#66948C2311yescharacteristic
348#66948C2311yescharacteristic
349#66947—21no—
350#66947—21no—
351#66946—21no—
352#66946D411yescharacteristic
353#66946C2311yescharacteristic
354#66945C2311yescharacteristic
355#66945C2311yescharacteristic
356#66945C2311yescharacteristic
357C4⋊C4×D11—21no—
358C4⋊C4×D11—21no—
359C4⋊C4×D11—21no—
360C4⋊C4×D11—21no—
361C4⋊C4×D11D411yescharacteristic
362C4⋊C4×D11C2311yescharacteristic
363C4⋊C4×D11C2311yescharacteristic
364C4⋊C4×D11C2311yescharacteristic
365C4⋊C4×D11C2311yescharacteristic
366C4⋊C4×D11C2311yescharacteristic
367#66943C2311yescharacteristic
368#66943C2311yescharacteristic
369#66942—21no—
370#66942—21no—
371#66941—21no—
372#66940C2311yescharacteristic
373#66939—21no—
374#66939—21no—
375#66939—21no—
376#66938—21no—
377#66938—21no—
378#66937—21no—
379#66937—21no—
380#66937—21no—
381#66937—21no—
382#66936—21no—
383#66936—21no—
384#66936—21no—
385#66936—21no—
386(C22⋊D11)⋊C4—21no—
387(C22⋊D11)⋊C4—21no—
388(C22⋊D11)⋊C4—21no—
389(C22⋊D11)⋊C4—21no—
390(C22⋊D11)⋊C4—21no—
391(C22⋊D11)⋊C4—21no—
392(C22⋊D11)⋊C4D411yescharacteristic
393(C22⋊D11)⋊C4D411yescharacteristic
394C22⋊C4×D11—21no—
395C22⋊C4×D11—21no—
396C22⋊C4×D11—21no—
397C22⋊C4×D11—21no—
398C22⋊C4×D11D411yescharacteristic
399C22⋊C4×D11D411yescharacteristic
400#66932—21no—
401#66932—21no—
402#66932—21no—
403#66931—21no—
404#66931—21no—
405#66931—21no—
406#66931—21no—
407#66930—21no—
408#66930—21no—
409#66929—21no—
410C4×D44—21no—
411C4×D44C2311yescharacteristic
412C4×D44C2311yescharacteristic
413#66925—21no—
414C42×D11—21no—
415C42×D11C2311yescharacteristic
416#66923C2311yescharacteristic
417#66922C2311yescharacteristic
418C4×Dic22C2311yescharacteristic
419C11×#107C2311yescharacteristic
420C11×#106C2311yescharacteristic
421C11×#106C2311yescharacteristic
422C11×C4⋊C8C2311yescharacteristic
423C11×#102C2311yescharacteristic
424C11×#102C2311yescharacteristic
425C11×#102C2311yescharacteristic
426C11×#102C2311yescharacteristic
427C11×#102C2311yescharacteristic
428C11×#102C2311yescharacteristic
429C11×#102C2311yescharacteristic
430C11×#102C2311yescharacteristic
431C11×#102C2311yescharacteristic
432C11×#102C2311yescharacteristic
433C11×C22⋊C8C2311yescharacteristic
434C11×C22⋊C8C2311yescharacteristic
435C11×#97C2311yescharacteristic
436#66896C2311yescharacteristic
437#66896C2311yescharacteristic
438#66896C2311yescharacteristic
439#66896C2311yescharacteristic
440#66896C2311yescharacteristic
441#66896C2311yescharacteristic
442#66896C2311yescharacteristic
443#66896C2311yescharacteristic
444#66896C2311yescharacteristic
445#66896C2311yescharacteristic
446C22⋊(C11⋊C8)C2311yescharacteristic
447C22⋊(C11⋊C8)C2311yescharacteristic
448#66885C2311yescharacteristic
449(C2×D11)⋊C8C2311yescharacteristic
450(C2×D11)⋊C8C2311yescharacteristic
451(C2×D11)⋊C8C2311yescharacteristic
452(C2×D11)⋊C8C2311yescharacteristic
453#66882C2311yescharacteristic
454#66882C2311yescharacteristic
455#66881C2311yescharacteristic
456#66880C2311yescharacteristic
457#66880C2311yescharacteristic
458#66880C2311yescharacteristic
459#66880C2311yescharacteristic
460#66880C2311yescharacteristic
461#66880C2311yescharacteristic
462#66880C2311yescharacteristic
463#66880C2311yescharacteristic
464#66880C2311yescharacteristic
465Dic11⋊C8C2311yescharacteristic
466Dic11⋊C8C2311yescharacteristic
467C8×Dic11C2311yescharacteristic
468C8×Dic11C2311yescharacteristic
469#66874C2311yescharacteristic
470#66874C2311yescharacteristic
471#66874C2311yescharacteristic
472#66874C2311yescharacteristic
473#66874C2311yescharacteristic
474#66874C2311yescharacteristic
475#66874C2311yescharacteristic
476#66874C2311yescharacteristic
477#66874C2311yescharacteristic
478#66873C2311yescharacteristic
479#66872C2311yescharacteristic
480#66872C2311yescharacteristic
481#66872C2311yescharacteristic
482#66871C2311yescharacteristic
483#66871C2311yescharacteristic
484#66871C2311yescharacteristic
485C4⋊(C11⋊C8)C2311yescharacteristic
486#66867C2311yescharacteristic
487#61164—111nomaximal, Sylow
488C24×C11—21no—
489C24×C11—21no—
490C23×D11—21no—
491C23×D11C2×D411yescharacteristic
492C23×D11C2×D411yescharacteristic
493C2×D4×C11—22no—
494C2×D4×C11—22no—
495C2×D4×C11—21no—
496C2×D4×C11—21no—
497C2×D4×C11—21no—
498C2×D4×C11—21no—
499C2×D4×C11—21no—
500C2×D4×C11—21no—
501C2×D4×C11—21no—
502C2×D4×C11—21no—
503C2×D4×C11—41no—
504C2×D4×C11—41no—
505C2×D4×C11—44no—
506C2×D4×C11C2×D411yescharacteristic
507C2×D4×C11C2411yescharacteristic
508C2×D4×C11C2411yescharacteristic
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⋊D11—21no—
527C2×C22⋊D11—21no—
528C2×C22⋊D11—21no—
529C2×C22⋊D11—21no—
530C2×C22⋊D11—44no—
531C2×C22⋊D11—44no—
532C2×C22⋊D11C2×D411yescharacteristic
533C2×C22⋊D11C2×D411yescharacteristic
534C22×Dic11—21no—
535C22×Dic11—21no—
536C22×Dic11—21no—
537C22×Dic11—21no—
538C22×Dic11—21no—
539C22×Dic11—21no—
540C22×Dic11—21no—
541C22×Dic11—21no—
542C22×Dic11—21no—
543C22×Dic11—21no—
544C22×Dic11—21no—
545C22×Dic11—21no—
546C22×Dic11—44no—
547C22×Dic11—44no—
548C22×Dic11C2×D411yescharacteristic
549C22×Dic11C2×D411yescharacteristic
550#4341—22no—
551#4341—22no—
552#4341—22no—
553#4341—22no—
554#4341—22no—
555#4341—22no—
556#4341—22no—
557#4341—22no—
558#4341—22no—
559#4341—41no—
560#4341—41no—
561#4341—41no—
562#4341—41no—
563#4341—44no—
564#4341—44no—
565#4341—44no—
566#4341—44no—
567#4341#4114yes—
568D4×D11—22no—
569D4×D11—22no—
570D4×D11—42no—
571D4×D11—44no—
572D4×D11—82no—
573C2×D44—21no—
574C2×D44—21no—
575C2×D44C2×D411yescharacteristic
576C2×D44C2411yescharacteristic
577C2×C4×D11—22no—
578C2×C4×D11—22no—
579C2×C4×D11—22no—
580C2×C4×D11—22no—
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—82no—
589C2×C4×D11—82no—
590C2×C4×D11C2×D411yescharacteristic
591C2×C4×D11C2×D411yescharacteristic
592C2×C4×D11C2×D411yescharacteristic
593C2×C4×D11C2×D411yescharacteristic
594C2×C4×D11C2×D411yescharacteristic
595C2×C4×D11C2×D411yescharacteristic
596C2×C4×D11C2411yescharacteristic
597C2×C4×D11C2411yescharacteristic
598C2×C4×D11C2411yescharacteristic
599C2×Dic22—22no—
600C2×Dic22—22no—
601C2×Dic22—21no—
602C2×Dic22—21no—
603C2×Dic22—41no—
604C2×Dic22—41no—
605C2×Dic22C2411yescharacteristic
606C2×Dic22C2411yescharacteristic
607C2×Dic22C2411yescharacteristic
608C11×D8—22no—
609C11×D8—41no—
610C11×D8—41no—
611C11×M16—41no—
612C2×C8×C11—41no—
613C2×C8×C11C2411yescharacteristic
614C2×C8×C11C2411yescharacteristic
615C2×C8×C11C2411yescharacteristic
616C2×C8×C11C2411yescharacteristic
617C11×C4⋊C4—21no—
618C11×C4⋊C4—21no—
619C11×C4⋊C4—21no—
620C11×C4⋊C4C2×D411yescharacteristic
621C11×C4⋊C4C2411yescharacteristic
622C11×C4⋊C4C2411yescharacteristic
623C11×C4⋊C4C2411yescharacteristic
624C11×C4⋊C4C2411yescharacteristic
625C11×C22⋊C4—21no—
626C11×C22⋊C4—21no—
627C11×C22⋊C4—21no—
628C11×C22⋊C4—21no—
629C11×C22⋊C4—21no—
630C11×C22⋊C4—21no—
631C11×C22⋊C4—21no—
632C11×C22⋊C4C2×D411yescharacteristic
633C11×C22⋊C4C2×D411yescharacteristic
634C42×C11—21no—
635C42×C11C2411yescharacteristic
636C22⋊Dic11—21no—
637C22⋊Dic11—21no—
638C22⋊Dic11—21no—
639C22⋊Dic11—21no—
640C22⋊Dic11—21no—
641C22⋊Dic11—21no—
642C22⋊Dic11—21no—
643C22⋊Dic11—21no—
644C22⋊Dic11—21no—
645C22⋊Dic11—21no—
646C22⋊Dic11—21no—
647C22⋊Dic11—21no—
648C22⋊Dic11—21no—
649C22⋊Dic11C2×D411yescharacteristic
650C22⋊Dic11C2×D411yescharacteristic
651#4324—22no—
652#4324—41no—
653#4324—41no—
654#4323—22no—
655#4323—41no—
656#4323—41no—
657(C2×D11)⋊C4—21no—
658(C2×D11)⋊C4—21no—
659(C2×D11)⋊C4—21no—
660(C2×D11)⋊C4—21no—
661(C2×D11)⋊C4—21no—
662(C2×D11)⋊C4—21no—
663(C2×D11)⋊C4—21no—
664(C2×D11)⋊C4—21no—
665(C2×D11)⋊C4—21no—
666(C2×D11)⋊C4—21no—
667(C2×D11)⋊C4—21no—
668(C2×D11)⋊C4C2×D411yescharacteristic
669(C2×D11)⋊C4C2×D411yescharacteristic
670(C2×D11)⋊C4C2×D411yescharacteristic
671(C2×D11)⋊C4C2×D411yescharacteristic
672C4⋊Dic11—21no—
673C4⋊Dic11—21no—
674C4⋊Dic11—21no—
675C4⋊Dic11—21no—
676C4⋊Dic11—21no—
677C4⋊Dic11—21no—
678C4⋊Dic11—21no—
679C4⋊Dic11C2×D411yescharacteristic
680C4⋊Dic11C2411yescharacteristic
681C4⋊Dic11C2411yescharacteristic
682C4⋊Dic11C2411yescharacteristic
683C4⋊Dic11C2411yescharacteristic
684Dic11⋊C4—21no—
685Dic11⋊C4—21no—
686Dic11⋊C4—21no—
687Dic11⋊C4—21no—
688Dic11⋊C4—21no—
689Dic11⋊C4—21no—
690Dic11⋊C4—21no—
691Dic11⋊C4—21no—
692Dic11⋊C4—21no—
693Dic11⋊C4—21no—
694Dic11⋊C4—21no—
695Dic11⋊C4—21no—
696Dic11⋊C4—21no—
697Dic11⋊C4C2×D411yescharacteristic
698Dic11⋊C4C2×D411yescharacteristic
699C4×Dic11—21no—
700C4×Dic11—21no—
701C4×Dic11—21no—
702C4×Dic11—21no—
703C4×Dic11—21no—
704C4×Dic11—21no—
705C4×Dic11C2×D411yescharacteristic
706C4×Dic11C2×D411yescharacteristic
707C4×Dic11C2411yescharacteristic
708#4318—41no—
709C2×C11⋊C8—41no—
710C2×C11⋊C8C2411yescharacteristic
711C2×C11⋊C8C2411yescharacteristic
712C2×C11⋊C8C2411yescharacteristic
713C2×C11⋊C8C2411yescharacteristic
714#4314—22no—
715#4314—41no—
716#4314—41no—
717#4313—22no—
718#4313—22no—
719#4313—22no—
720#4313—22no—
721#4313—41no—
722#4313—41no—
723C8×D11—41no—
724C8×D11—41no—
725C2×#553—111no—
726D4×#41—111no—
727#3326—111no—
728#3326—111no—
729#3322—111no—
730#3322—111no—
731#3320—111no—
732#3320—111no—
733#3318—111no—
734#3318D1111yescharacteristic, complemented
735#3309—111no—
736#3309—111no—
737#3307—111no—
738#3307—111no—
739#3301—111no—
740#3301—111no—
741#3297—111no—
742#3297—111no—
743#3142—111no—
744#3093—111no—
745#3092—111no—
746#3080—111no—
747#3055—111no—
748#3055—111no—
749#3036—111no—
750#3006—111no—
751#3006—111no—
752C4×AGL(1,ℤ/8)—111no—
753D4×M16—111no—
754#2896—111no—
755C2×#417—111no—
756C23×C11—21no—
757C23×C11—21no—
758C23×C11—21no—
759C23×C11—21no—
760C23×C11—42no—
761C23×C11—42no—
762C23×C11—42no—
763C23×C11—42no—
764C23×C11—81no—
765C23×C11—81no—
766C23×C11C22×D411yescharacteristic
767C23×C11C22×D411yescharacteristic
768C22×D11—22no—
769C22×D11—22no—
770C22×D11—22no—
771C22×D11—21no—
772C22×D11—41no—
773C22×D11—41no—
774C22×D11—41no—
775C22×D11—42no—
776C22×D11—42no—
777C22×D11—42no—
778C22×D11C22×D411yescharacteristic
779C22×D11C22×D411yescharacteristic
780C22×D11C22×D411yescharacteristic
781D4×C11—22no—
782D4×C11—21no—
783D4×C11—21no—
784D4×C11—21no—
785D4×C11—21no—
786D4×C11—21no—
787D4×C11—21no—
788D4×C11—21no—
789D4×C11—42no—
790D4×C11—42no—
791D4×C11—42no—
792D4×C11—42no—
793D4×C11—42no—
794D4×C11—42no—
795D4×C11—81no—
796D4×C11—81no—
797D4×C11C2×#4112yes—
798C2×C4×C11—21no—
799C2×C4×C11—21no—
800C2×C4×C11—21no—
801C2×C4×C11—21no—
802C2×C4×C11—21no—
803C2×C4×C11—21no—
804C2×C4×C11—21no—
805C2×C4×C11—21no—
806C2×C4×C11—42no—
807C2×C4×C11—81no—
808C2×C4×C11—81no—
809C2×C4×C11C22×D411yescharacteristic
810C2×C4×C11C22×D411yescharacteristic
811C2×C4×C11C22×D411yescharacteristic
812C2×C4×C11C22×D411yescharacteristic
813C2×C4×C11C2511yescharacteristic
814C22⋊D11—22no—
815C22⋊D11—24no—
816C22⋊D11—41no—
817C22⋊D11—42no—
818C22⋊D11—42no—
819C22⋊D11—42no—
820C22⋊D11—42no—
821C22⋊D11—42no—
822C22⋊D11—42no—
823C22⋊D11—42no—
824C22⋊D11—42no—
825C22⋊D11—42no—
826C22⋊D11—81no—
827C22⋊D11—81no—
828C22⋊D11—81no—
829C22⋊D11—81no—
830C2×Dic11—21no—
831C2×Dic11—22no—
832C2×Dic11—22no—
833C2×Dic11—24no—
834C2×Dic11—21no—
835C2×Dic11—21no—
836C2×Dic11—21no—
837C2×Dic11—21no—
838C2×Dic11—21no—
839C2×Dic11—21no—
840C2×Dic11—42no—
841C2×Dic11—42no—
842C2×Dic11—42no—
843C2×Dic11—42no—
844C2×Dic11—42no—
845C2×Dic11—42no—
846C2×Dic11—42no—
847C2×Dic11—42no—
848C2×Dic11—81no—
849C2×Dic11—81no—
850C2×Dic11—81no—
851C2×Dic11C22×D411yescharacteristic
852C2×Dic11C22×D411yescharacteristic
853C2×Dic11C22×D411yescharacteristic
854C2×Dic11C22×D411yescharacteristic
855C2×Dic11C22×D411yescharacteristic
856D44—21no—
857D44—21no—
858D44—41no—
859D44—42no—
860D44—81no—
861C4×D11—22no—
862C4×D11—22no—
863C4×D11—21no—
864C4×D11—21no—
865C4×D11—21no—
866C4×D11—21no—
867C4×D11—22no—
868C4×D11—22no—
869C4×D11—41no—
870C4×D11—41no—
871C4×D11—42no—
872C4×D11—42no—
873C4×D11—42no—
874C4×D11—81no—
875C4×D11—81no—
876C4×D11—81no—
877C4×D11—81no—
878C4×D11C2×#4112yes—
879C4×D11H(5,𝔽2)12yes—
880Dic22—21no—
881Dic22—21no—
882Dic22—21no—
883Dic22—21no—
884Dic22—21no—
885Dic22—42no—
886Dic22—42no—
887Dic22C2×#4112yes—
888C8×C11—21no—
889C8×C11—21no—
890C8×C11—21no—
891C8×C11—21no—
892C11⋊C8—21no—
893C11⋊C8—21no—
894C11⋊C8—21no—
895C11⋊C8—21no—
896C22×#41—111no—
897C22×#41—111no—
898C2×AGL(1,ℤ/8)—111no—
899C2×AGL(1,ℤ/8)—111no—
900C2×AGL(1,ℤ/8)—111no—
901C22×M16—111no—
902C22×M16—111no—
903#553—111no—
904#553—111no—
905#553—111no—
906#553—111no—
907#553—111no—
908#553—111no—
909#553—111no—
910#553—221no—
911#553—221no—
912#553—221no—
913#553—221no—
914#553C2×D1111yescharacteristic
915#550—111no—
916D4×Q8—111no—
917#548—111no—
918#548—111no—
919#547—111no—
920#547—221no—
921#546—111no—
922#546—111no—
923#546—221no—
924#546—221no—
925D42—221no—
926D42C2×D1111yescharacteristic, complemented
927#532—111no—
928#532—221no—
929C2×#126—221no—
930C2×#125—111no—
931#525—111no—
932#525—111no—
933#525—221no—
934#525—221no—
935C2×#123—221no—
936C2×#121—111no—
937C2×#121—111no—
938C2×#121—221no—
939C4×#41—111no—
940C2×C4×D4—111no—
941C2×C4×D4—111no—
942C2×C4×D4—221no—
943C2×C4×D4—221no—
944C2×#117—111no—
945C22×C4⋊C4—111no—
946#491—111no—
947#491—111no—
948#490—111no—
949#490C2×D1111yescharacteristic, complemented
950#488—111no—
951#488—111no—
952#488—111no—
953#488—111no—
954#485—111no—
955#485—111no—
956#485—111no—
957#485—111no—
958#484—111no—
959#484—111no—
960#483—111no—
961#483—111no—
962#482—111no—
963#482—111no—
964#482—111no—
965#482C2×D1111yescharacteristic, complemented
966#481—111no—
967#481C2×D1111yescharacteristic, complemented
968#480—111no—
969#480—111no—
970#479—111no—
971#479—111no—
972#479—111no—
973#479—111no—
974#478—111no—
975#478—111no—
976#478—111no—
977#478C2×D1111yescharacteristic, complemented
978#469—111no—
979#469—111no—
980#469—111no—
981#469C2×D1111yescharacteristic, complemented
982#468—111no—
983#468—111no—
984#468—111no—
985#468—111no—
986#466—111no—
987#466—111no—
988#466—111no—
989#466C2×D1111yescharacteristic, complemented
990#465—111no—
991#465—111no—
992#465—111no—
993#465—111no—
994#463—111no—
995#463—111no—
996#463—111no—
997#463—111no—
998#461—111no—
999#461—111no—
1000#459—111no—
1001#459C2×D1111yescharacteristic, complemented
1002#449—111no—
1003#449—111no—
1004#449—111no—
1005#449—111no—
1006#449—111no—
1007#449—111no—
1008#449—111no—
1009#449—111no—
1010#448—111no—
1011#448—111no—
1012#448—111no—
1013#448—111no—
1014#447—111no—
1015#447—111no—
1016#447C2×D1111yescharacteristic, complemented
1017#447C2×D1111yescharacteristic, complemented
1018#442—111no—
1019#442C2×D1111yescharacteristic, complemented
1020#440—111no—
1021#440—111no—
1022C4×SD16—111no—
1023C4×SD16—111no—
1024C4×D8—111no—
1025C4×D8—111no—
1026#436—111no—
1027#436—111no—
1028#435—111no—
1029#435—111no—
1030#435—111no—
1031#435C2×D1111yescharacteristic, complemented
1032C8×D4—111no—
1033C8×D4—111no—
1034#428—111no—
1035#428—111no—
1036#428—111no—
1037#423—111no—
1038#419—111no—
1039#419—111no—
1040#418—111no—
1041#418—111no—
1042#418C2×D1111yescharacteristic, complemented
1043#417—111no—
1044#417—111no—
1045#417—111no—
1046#417—111no—
1047#417—111no—
1048#417—111no—
1049#417—111no—
1050#417—111no—
1051#417—111no—
1052#417—111no—
1053#417—111no—
1054#417—111no—
1055#417—111no—
1056#416—111no—
1057#416—111no—
1058#416—111no—
1059#416—111no—
1060C2×#103—111no—
1061C2×#103—111no—
1062C2×#102—111no—
1063C2×#102C2×D1111yescharacteristic, complemented
1064#407—111no—
1065#407—111no—
1066C4×M16—111no—
1067C22×C11—21no—
1068C22×C11—21no—
1069C22×C11—21no—
1070C22×C11—21no—
1071C22×C11—22no—
1072C22×C11—21no—
1073C22×C11—41no—
1074C22×C11—41no—
1075C22×C11—41no—
1076C22×C11—41no—
1077C22×C11—41no—
1078C22×C11—41no—
1079C22×C11—41no—
1080C22×C11—41no—
1081C22×C11—41no—
1082C22×C11—41no—
1083C22×C11—41no—
1084C22×C11—84no—
1085C22×C11—84no—
1086C22×C11#57512yes—
1087C22×C11C23×D411yescharacteristic
1088C2×D11—21no—
1089C2×D11—21no—
1090C2×D11—21no—
1091C2×D11—21no—
1092C2×D11—21no—
1093C2×D11—21no—
1094C2×D11—21no—
1095C2×D11—21no—
1096C2×D11—44no—
1097C2×D11—41no—
1098C2×D11—41no—
1099C2×D11—41no—
1100C2×D11—82no—
1101C2×D11—84no—
1102C2×D11#54612yes—
1103C4×C11—21no—
1104C4×C11—21no—
1105C4×C11—21no—
1106C4×C11—21no—
1107C4×C11—41no—
1108C4×C11—41no—
1109C4×C11—41no—
1110C4×C11—41no—
1111C4×C11C22×#4111yescharacteristic
1112C4×C11C2×H(5,𝔽2)11yescharacteristic
1113Dic11—21no—
1114Dic11—22no—
1115Dic11—21no—
1116Dic11—21no—
1117Dic11—21no—
1118Dic11—41no—
1119Dic11—41no—
1120Dic11—41no—
1121Dic11—41no—
1122Dic11—41no—
1123Dic11—41no—
1124Dic11#54612yes—
1125C2×#41—111no—
1126C2×#41—111no—
1127C2×#41—111no—
1128C2×#41—111no—
1129C2×#41—111no—
1130C2×#41—111no—
1131C2×#41—111no—
1132C2×#41—221no—
1133C2×#41—221no—
1134C2×#41—221no—
1135C2×#41—221no—
1136C2×#41—224no—
1137C2×#41—224no—
1138C2×#41—442no—
1139C2×#41—442no—
1140C22×Q8—111no—
1141C22×Q8—111no—
1142C22×D4—21no—
1143C22×D4—111no—
1144C22×D4—111no—
1145C22×D4—221no—
1146C22×D4—221no—
1147C22×D4—221no—
1148C22×D4—221no—
1149C22×D4C22×D1111yescharacteristic
1150C22×D4C22×D1111yescharacteristic
1151C23×C4—111no—
1152C23×C4—111no—
1153C23×C4—221no—
1154C23×C4—221no—
1155C23×C4—221no—
1156C23×C4—221no—
1157AGL(1,ℤ/8)—224no—
1158AGL(1,ℤ/8)—442no—
1159AGL(1,ℤ/8)—442no—
1160C2×SD16—111no—
1161C2×SD16—111no—
1162C2×SD16—111no—
1163C2×SD16—111no—
1164C2×SD16—111no—
1165C2×SD16—111no—
1166C2×D8—111no—
1167C2×D8—111no—
1168C2×D8—111no—
1169C2×D8C22×D1111yescharacteristic
1170C2×D8C22×D1111yescharacteristic
1171C2×D8C22×D1111yescharacteristic
1172C2×M16—111no—
1173C2×M16—111no—
1174C2×M16—111no—
1175C2×M16—111no—
1176C2×M16—111no—
1177C2×M16—111no—
1178C2×M16—111no—
1179C2×M16—442no—
1180C2×M16—442no—
1181C2×M16C22×D1111yescharacteristic
1182C22×C8—111no—
1183C22×C8—111no—
1184C22×C8—111no—
1185C22×C8C22×D1111yescharacteristic
1186C4⋊Q8—111no—
1187C4⋊Q8—221no—
1188#127—221no—
1189#127C22×D1111yescharacteristic
1190#126—21no—
1191#126—221no—
1192#126—221no—
1193#126—221no—
1194#126—221no—
1195#126—221no—
1196#126—221no—
1197#126—221no—
1198#125—111no—
1199#125—111no—
1200#125—111no—
1201#125—221no—
1202#125—221no—
1203#125C22×D1111yescharacteristic
1204#124—111no—
1205#124—111no—
1206#124—221no—
1207#124—221no—
1208#123—21no—
1209#123—221no—
1210#123—221no—
1211#123—221no—
1212#123—221no—
1213#123—221no—
1214#123—221no—
1215#123—221no—
1216#123—221no—
1217#123—221no—
1218#123—221no—
1219#123—221no—
1220#123—221no—
1221#123—221no—
1222C22⋊Q8—111no—
1223C22⋊Q8—111no—
1224C22⋊Q8—111no—
1225C22⋊Q8—111no—
1226C22⋊Q8—221no—
1227C22⋊Q8—221no—
1228C22⋊Q8—221no—
1229C22⋊Q8—221no—
1230#121—21no—
1231#121—21no—
1232#121—111no—
1233#121—111no—
1234#121—111no—
1235#121—111no—
1236#121—111no—
1237#121—111no—
1238#121—111no—
1239#121—111no—
1240#121—221no—
1241#121—221no—
1242#121—221no—
1243#121—221no—
1244#121—221no—
1245#121—221no—
1246#121—221no—
1247#121—221no—
1248#121—221no—
1249#121—221no—
1250#121—221no—
1251#121—221no—
1252#121—221no—
1253#121—221no—
1254#121—221no—
1255#121—221no—
1256#121—221no—
1257#121—221no—
1258#121—221no—
1259#121—221no—
1260#121C22×D1111yescharacteristic
1261#121C22×D1111yescharacteristic
1262#121C22×D1111yescharacteristic
1263#121C22×D1111yescharacteristic
1264#120—21no—
1265#120—21no—
1266#120—221no—
1267#120—221no—
1268#120—221no—
1269#120—221no—
1270C4×Q8—111no—
1271C4×Q8—111no—
1272C4×D4—21no—
1273C4×D4—111no—
1274C4×D4—111no—
1275C4×D4—111no—
1276C4×D4—111no—
1277C4×D4—111no—
1278C4×D4—111no—
1279C4×D4—111no—
1280C4×D4—111no—
1281C4×D4—111no—
1282C4×D4—111no—
1283C4×D4—111no—
1284C4×D4—221no—
1285C4×D4—221no—
1286C4×D4—221no—
1287C4×D4—221no—
1288C4×D4—221no—
1289C4×D4—221no—
1290C4×D4—221no—
1291C4×D4—221no—
1292C4×D4—221no—
1293C4×D4—221no—
1294C4×D4—221no—
1295C4×D4—221no—
1296C4×D4—221no—
1297C4×D4—221no—
1298C4×D4—221no—
1299C4×D4—221no—
1300C4×D4—221no—
1301C4×D4—221no—
1302C4×D4—221no—
1303C4×D4—221no—
1304C4×D4—221no—
1305C4×D4C22×D1111yescharacteristic
1306C4×D4C22×D1111yescharacteristic
1307C4×D4C22×D1111yescharacteristic
1308#117—111no—
1309#117—111no—
1310#117—111no—
1311#117—111no—
1312#117—221no—
1313#117—221no—
1314#117—221no—
1315#117C22×D1111yescharacteristic
1316C2×C4⋊C4—111no—
1317C2×C4⋊C4—111no—
1318C2×C4⋊C4—111no—
1319C2×C4⋊C4—111no—
1320C2×C4⋊C4—111no—
1321C2×C4⋊C4—111no—
1322C2×C4⋊C4—111no—
1323C2×C4⋊C4—221no—
1324C2×C4⋊C4—221no—
1325C2×C4⋊C4—221no—
1326C2×C4⋊C4—221no—
1327C2×C4⋊C4—221no—
1328C2×C4⋊C4—221no—
1329C2×C4⋊C4C22×D1111yescharacteristic
1330C2×C22⋊C4—111no—
1331C2×C22⋊C4—111no—
1332C2×C22⋊C4—221no—
1333C2×C22⋊C4—221no—
1334C2×C22⋊C4—221no—
1335C2×C22⋊C4—221no—
1336C2×C22⋊C4—221no—
1337C2×C22⋊C4—221no—
1338C2×C42—111no—
1339C2×C42—221no—
1340C2×C42—221no—
1341#107—111no—
1342#107—111no—
1343#107—111no—
1344#107—111no—
1345#107—111no—
1346#107C22×D1111yescharacteristic
1347#106—111no—
1348#106—111no—
1349#106—111no—
1350#106—111no—
1351#106C22×D1111yescharacteristic
1352#106C22×D1111yescharacteristic
1353C4⋊C8—111no—
1354C4⋊C8—111no—
1355C4⋊C8—111no—
1356C4⋊C8C22×D1111yescharacteristic
1357#103—111no—
1358#103—111no—
1359#103—111no—
1360#103—111no—
1361#103—111no—
1362#103—111no—
1363#103—111no—
1364#103—111no—
1365#103—111no—
1366#103—111no—
1367#103—111no—
1368#103—111no—
1369#103—111no—
1370#103—111no—
1371#103—111no—
1372#103—111no—
1373#103—111no—
1374#103—111no—
1375#102—111no—
1376#102—111no—
1377#102—111no—
1378#102—111no—
1379#102—111no—
1380#102—111no—
1381#102—111no—
1382#102—111no—
1383#102—111no—
1384#102—111no—
1385#102—111no—
1386#102—111no—
1387#102C22×D1111yescharacteristic
1388#102C22×D1111yescharacteristic
1389#102C22×D1111yescharacteristic
1390#102C22×D1111yescharacteristic
1391#102C22×D1111yescharacteristic
1392#102C22×D1111yescharacteristic
1393#102C22×D1111yescharacteristic
1394#102C22×D1111yescharacteristic
1395#102C22×D1111yescharacteristic
1396#102C22×D1111yescharacteristic
1397C22⋊C8—111no—
1398C22⋊C8—111no—
1399C22⋊C8—111no—
1400C22⋊C8—111no—
1401C22⋊C8—111no—
1402C22⋊C8—111no—
1403C22⋊C8C22×D1111yescharacteristic
1404C22⋊C8C22×D1111yescharacteristic
1405#97—111no—
1406#97C22×D1111yescharacteristic
1407C4×C8—111no—
1408C4×C8—111no—
1409C2×C11—22no—
1410C2×C11—41no—
1411C2×C11—42no—
1412C2×C11—81no—
1413C2×C11—81no—
1414C2×C11—81no—
1415C2×C11C2×#54611yescharacteristic
1416C2×C11C2×#57511yescharacteristic
1417C2×C11#358511yescharacteristic
1418D11—22no—
1419D11—41no—
1420D11—41no—
1421D11—81no—
1422C24—21no—
1423C24—21no—
1424C24—111no—
1425C24—111no—
1426C24—221no—
1427#41—114no—
1428#41—222no—
1429#41—222no—
1430#41—222no—
1431#41—222no—
1432#41—222no—
1433#41—222no—
1434#41—222no—
1435#41—222no—
1436#41—222no—
1437#41—444no—
1438#41—444no—
1439#41—441no—
1440#41—441no—
1441#41—441no—
1442#41—441no—
1443#41—444no—
1444#41—444no—
1445C2×Q8—111no—
1446C2×Q8—111no—
1447C2×Q8—111no—
1448C2×Q8—222no—
1449C2×Q8—222no—
1450C2×Q8—221no—
1451C2×Q8—221no—
1452C2×Q8—441no—
1453C2×Q8—441no—
1454C2×D4—22no—
1455C2×D4—22no—
1456C2×D4—21no—
1457C2×D4—21no—
1458C2×D4—21no—
1459C2×D4—21no—
1460C2×D4—21no—
1461C2×D4—21no—
1462C2×D4—21no—
1463C2×D4—21no—
1464C2×D4—41no—
1465C2×D4—41no—
1466C2×D4—44no—
1467C2×D4—111no—
1468C2×D4—111no—
1469C2×D4—111no—
1470C2×D4—111no—
1471C2×D4—221no—
1472C2×D4—221no—
1473C2×D4—222no—
1474C2×D4—222no—
1475C2×D4—221no—
1476C2×D4—221no—
1477C2×D4—221no—
1478C2×D4—221no—
1479C2×D4—221no—
1480C2×D4—221no—
1481C2×D4—221no—
1482C2×D4—221no—
1483C2×D4—221no—
1484C2×D4—221no—
1485C2×D4—221no—
1486C2×D4—221no—
1487C2×D4—221no—
1488C2×D4—221no—
1489C2×D4—442no—
1490C2×D4—444no—
1491C2×D4—444no—
1492C2×D4—444no—
1493C2×D4—882no—
1494C2×D4D4×D1111yescharacteristic
1495C2×D4C23×D1111yescharacteristic
1496C2×D4C23×D1111yescharacteristic
1497C2×D4C23×D1111yescharacteristic
1498C2×D4C23×D1111yescharacteristic
1499C22×C4—21no—
1500C22×C4—21no—
1501C22×C4—21no—
1502C22×C4—111no—
1503C22×C4—111no—
1504C22×C4—111no—
1505C22×C4—111no—
1506C22×C4—111no—
1507C22×C4—111no—
1508C22×C4—111no—
1509C22×C4—111no—
1510C22×C4—111no—
1511C22×C4—111no—
1512C22×C4—111no—
1513C22×C4—222no—
1514C22×C4—222no—
1515C22×C4—222no—
1516C22×C4—222no—
1517C22×C4—221no—
1518C22×C4—221no—
1519C22×C4—221no—
1520C22×C4—221no—
1521C22×C4—221no—
1522C22×C4—221no—
1523C22×C4—221no—
1524C22×C4—221no—
1525C22×C4—221no—
1526C22×C4—221no—
1527C22×C4—221no—
1528C22×C4—221no—
1529C22×C4—221no—
1530C22×C4—221no—
1531C22×C4—221no—
1532C22×C4—221no—
1533C22×C4—221no—
1534C22×C4—221no—
1535C22×C4—221no—
1536C22×C4—444no—
1537C22×C4—444no—
1538C22×C4—882no—
1539C22×C4—882no—
1540C22×C4C23×D1111yescharacteristic
1541C22×C4C23×D1111yescharacteristic
1542SD16—222no—
1543SD16—222no—
1544SD16—441no—
1545SD16—441no—
1546SD16—441no—
1547SD16—441no—
1548D8—22no—
1549D8—41no—
1550D8—41no—
1551D8—222no—
1552D8—441no—
1553D8—441no—
1554M16—41no—
1555M16—222no—
1556M16—222no—
1557M16—222no—
1558M16—222no—
1559M16—441no—
1560M16—441no—
1561M16—441no—
1562C2×C8—41no—
1563C2×C8—111no—
1564C2×C8—111no—
1565C2×C8—111no—
1566C2×C8—111no—
1567C2×C8—441no—
1568C2×C8—441no—
1569C2×C8—441no—
1570C2×C8C23×D1111yescharacteristic
1571C2×C8C23×D1111yescharacteristic
1572C2×C8C23×D1111yescharacteristic
1573C2×C8C23×D1111yescharacteristic
1574C4⋊C4—21no—
1575C4⋊C4—21no—
1576C4⋊C4—21no—
1577C4⋊C4—111no—
1578C4⋊C4—111no—
1579C4⋊C4—111no—
1580C4⋊C4—111no—
1581C4⋊C4—111no—
1582C4⋊C4—111no—
1583C4⋊C4—111no—
1584C4⋊C4—221no—
1585C4⋊C4—221no—
1586C4⋊C4—221no—
1587C4⋊C4—221no—
1588C4⋊C4—221no—
1589C4⋊C4—221no—
1590C4⋊C4—221no—
1591C4⋊C4—221no—
1592C4⋊C4—221no—
1593C4⋊C4—221no—
1594C4⋊C4—221no—
1595C4⋊C4—221no—
1596C4⋊C4—221no—
1597C4⋊C4—221no—
1598C4⋊C4—221no—
1599C4⋊C4—221no—
1600C4⋊C4—221no—
1601C4⋊C4—221no—
1602C4⋊C4—221no—
1603C4⋊C4—221no—
1604C4⋊C4D4×D1111yescharacteristic
1605C4⋊C4C23×D1111yescharacteristic
1606C4⋊C4C23×D1111yescharacteristic
1607C4⋊C4C23×D1111yescharacteristic
1608C4⋊C4C23×D1111yescharacteristic
1609C22⋊C4—21no—
1610C22⋊C4—21no—
1611C22⋊C4—21no—
1612C22⋊C4—21no—
1613C22⋊C4—21no—
1614C22⋊C4—21no—
1615C22⋊C4—21no—
1616C22⋊C4—111no—
1617C22⋊C4—111no—
1618C22⋊C4—111no—
1619C22⋊C4—111no—
1620C22⋊C4—111no—
1621C22⋊C4—111no—
1622C22⋊C4—221no—
1623C22⋊C4—221no—
1624C22⋊C4—221no—
1625C22⋊C4—221no—
1626C22⋊C4—221no—
1627C22⋊C4—221no—
1628C22⋊C4—221no—
1629C22⋊C4—221no—
1630C22⋊C4—221no—
1631C22⋊C4—221no—
1632C22⋊C4—221no—
1633C22⋊C4—221no—
1634C22⋊C4—221no—
1635C22⋊C4—221no—
1636C22⋊C4—221no—
1637C22⋊C4—221no—
1638C22⋊C4—221no—
1639C22⋊C4—221no—
1640C22⋊C4—221no—
1641C22⋊C4—221no—
1642C22⋊C4—221no—
1643C22⋊C4—221no—
1644C22⋊C4—221no—
1645C22⋊C4—221no—
1646C22⋊C4D4×D1111yescharacteristic
1647C22⋊C4D4×D1111yescharacteristic
1648C42—21no—
1649C42—111no—
1650C42—111no—
1651C42—111no—
1652C42—221no—
1653C42—221no—
1654C42—221no—
1655C42—221no—
1656C42—221no—
1657C42—221no—
1658C42C23×D1111yescharacteristic
1659C11#6116411yescharacteristic, complemented, Sylow
1660C23—21no—
1661C23—21no—
1662C23—21no—
1663C23—21no—
1664C23—42no—
1665C23—42no—
1666C23—42no—
1667C23—42no—
1668C23—81no—
1669C23—81no—
1670C23—111no—
1671C23—111no—
1672C23—111no—
1673C23—222no—
1674C23—222no—
1675C23—222no—
1676C23—221no—
1677C23—441no—
1678C23—441no—
1679C23—441no—
1680C23—442no—
1681C23—442no—
1682C23—442no—
1683C23C2×D4×D1111yescharacteristic
1684C23C2×D4×D1111yescharacteristic
1685Q8—112no—
1686Q8—221no—
1687Q8—221no—
1688Q8—221no—
1689Q8—221no—
1690Q8—221no—
1691Q8—442no—
1692Q8—442no—
1693D4—22no—
1694D4—21no—
1695D4—21no—
1696D4—21no—
1697D4—21no—
1698D4—21no—
1699D4—21no—
1700D4—21no—
1701D4—42no—
1702D4—42no—
1703D4—42no—
1704D4—42no—
1705D4—42no—
1706D4—42no—
1707D4—81no—
1708D4—81no—
1709D4—224no—
1710D4—222no—
1711D4—221no—
1712D4—221no—
1713D4—441no—
1714D4—442no—
1715D4—442no—
1716D4—441no—
1717D4—442no—
1718D4—442no—
1719D4—442no—
1720D4—442no—
1721D4—442no—
1722D4—442no—
1723D4—442no—
1724D4—442no—
1725D4—881no—
1726D4—881no—
1727D4—881no—
1728D4—881no—
1729D4—881no—
1730D4#41×D1112yes—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—42no—
1740C2×C4—81no—
1741C2×C4—81no—
1742C2×C4—111no—
1743C2×C4—112no—
1744C2×C4—112no—
1745C2×C4—111no—
1746C2×C4—111no—
1747C2×C4—111no—
1748C2×C4—111no—
1749C2×C4—222no—
1750C2×C4—222no—
1751C2×C4—222no—
1752C2×C4—222no—
1753C2×C4—222no—
1754C2×C4—222no—
1755C2×C4—224no—
1756C2×C4—221no—
1757C2×C4—221no—
1758C2×C4—221no—
1759C2×C4—221no—
1760C2×C4—221no—
1761C2×C4—221no—
1762C2×C4—221no—
1763C2×C4—221no—
1764C2×C4—221no—
1765C2×C4—221no—
1766C2×C4—221no—
1767C2×C4—441no—
1768C2×C4—441no—
1769C2×C4—442no—
1770C2×C4—442no—
1771C2×C4—442no—
1772C2×C4—442no—
1773C2×C4—442no—
1774C2×C4—442no—
1775C2×C4—442no—
1776C2×C4—442no—
1777C2×C4—442no—
1778C2×C4—442no—
1779C2×C4—442no—
1780C2×C4—881no—
1781C2×C4—881no—
1782C2×C4—881no—
1783C2×C4—881no—
1784C2×C4—881no—
1785C2×C4—881no—
1786C2×C4—881no—
1787C2×C4C2×D4×D1111yescharacteristic
1788C2×C4C2×D4×D1111yescharacteristic
1789C2×C4C2×D4×D1111yescharacteristic
1790C2×C4C2×D4×D1111yescharacteristic
1791C2×C4C24×D1111yescharacteristic
1792C8—21no—
1793C8—21no—
1794C8—21no—
1795C8—21no—
1796C8—221no—
1797C8—221no—
1798C8—221no—
1799C8—221no—
1800C22—21no—
1801C22—21no—
1802C22—21no—
1803C22—22no—
1804C22—21no—
1805C22—21no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—84no—
1818C22—84no—
1819C22—112no—
1820C22—221no—
1821C22—221no—
1822C22—221no—
1823C22—221no—
1824C22—221no—
1825C22—221no—
1826C22—221no—
1827C22—221no—
1828C22—444no—
1829C22—441no—
1830C22—441no—
1831C22—441no—
1832C22—882no—
1833C22—884no—
1834C22#1062330412yes—
1835C22C22×D4×D1111yescharacteristic
1836C4—21no—
1837C4—21no—
1838C4—21no—
1839C4—21no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—112no—
1845C4—221no—
1846C4—221no—
1847C4—222no—
1848C4—221no—
1849C4—221no—
1850C4—441no—
1851C4—441no—
1852C4—441no—
1853C4—441no—
1854C4—441no—
1855C4—441no—
1856C4C2×#41×D1111yescharacteristic
1857C4D11×H(5,𝔽2)11yescharacteristic
1858C2—22no—
1859C2—41no—
1860C2—42no—
1861C2—81no—
1862C2—81no—
1863C2—81no—
1864C2—222no—
1865C2—441no—
1866C2—441no—
1867C2—881no—
1868C2D11×#54611yescharacteristic
1869C2C2×#1062330411yescharacteristic
1870C2#1308339111yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3318C2
socleC22×C11C23×D4
hypercenter#3318D11
hypocenterC11#61164
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3318

Complements

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

NH ≅ G/Ntype
1. D11×#553C2semidirect
2. D4×#4341C2semidirect
3. #13080875C2semidirect
4. #13080867C2semidirect
5. #13080821C2semidirect
6. #13080813C2semidirect
7. #13080789C2semidirect
8. #13080781C2semidirect
9. #13080757C2semidirect
10. #13080629C2semidirect
11. #13080621C2semidirect
12. #13080597C2semidirect
13. #13080589C2semidirect
14. #13080524C2semidirect
15. #13080516C2semidirect
16. #13080470C2semidirect
17. #13080462C2semidirect
18. #13079015C2semidirect
19. #13078544C2semidirect
20. #13078538C2semidirect
21. #13078433C2semidirect
22. #13078234C2semidirect
23. #13078232C2semidirect
24. #13078075C2semidirect
25. #13077863C2semidirect
26. #13077863C2semidirect
27. #13077427C2semidirect
28. #13077349C2semidirect
29. #13077130C2semidirect
30. C2×#10622384C2semidirect
31. C11×#3318C2semidirect
35. D42×C11C22semidirect
36. #10623337C22semidirect
37. #10623337C22semidirect
41. C2×#66964C22semidirect
42. C2×#66964C22semidirect
43. C2×M16×D11C22semidirect
44. C22×#4313C22semidirect
45. #10623249C22semidirect
49. #10623226C22semidirect
50. D11×#125C22semidirect
53. #10623149C22semidirect
54. #10623145C22semidirect
59. D11×#121C22semidirect
60. D11×#121C22semidirect
62. #10623129C22semidirect
63. #10623129C22semidirect
70. #10623089C22semidirect
71. #10623086C22semidirect
74. C4×D4×D11C22semidirect
76. D4×Dic22C22semidirect
78. #10623061C22semidirect
79. D11×#117C22semidirect
80. #10623045C22semidirect
81. C2×C4⋊C4×D11C22semidirect
82. C11×#490C22semidirect
83. C11×#482C22semidirect
84. C11×#481C22semidirect
85. C11×#478C22semidirect
86. C11×#469C22semidirect
87. C11×#466C22semidirect
88. C11×#459C22semidirect
89. C11×#447C22semidirect
90. C11×#447C22semidirect
91. C11×#442C22semidirect
92. C11×#435C22semidirect
93. C11×#418C22semidirect
94. C2×C11×#102C22semidirect
95. #10622830C22semidirect
96. #10622830C22semidirect
97. #10622828C22semidirect
98. C2×#66896C22semidirect
99. #10622772C22semidirect
100. #10622771C22semidirect
101. #10622771C22semidirect
102. #10622771C22semidirect
103. #10622771C22semidirect
104. #10622770C22semidirect
105. #10622766C22semidirect
106. #10622766C22semidirect
107. D8×Dic11C22semidirect
108. #10622747C22semidirect
109. #10622741C22semidirect
110. #10622733C22semidirect
111. #10622727C22semidirect
112. C8×C22⋊D11C22semidirect
113. C2×#66880C22semidirect
114. #10622685C22semidirect
115. #10622684C22semidirect
116. #10622682C22semidirect
117. #10622676C22semidirect
118. #10622655C22semidirect
119. #10622654C22semidirect
120. #10622653C22semidirect
121. #10622653C22semidirect
122. #10622652C22semidirect
123. #10622651C22semidirect
124. #10622648C22semidirect
125. #10622647C22semidirect
126. #10622632C22semidirect
127. #10622631C22semidirect
128. #10622627C22semidirect
129. #10622624C22semidirect
130. #10622622C22semidirect
131. #10622617C22semidirect
132. #10622609C22semidirect
133. #10622583C22semidirect
134. C2×#66874C22semidirect
135. #10622501C22semidirect
136. #10622499C22semidirect
137. #10622494C22semidirect
138. #10622490C22semidirect
139. #10622480C22semidirect
140. #10622477C22semidirect
141. #10622475C22semidirect
142. #10622475C22semidirect
143. #10622474C22semidirect
144. #10622474C22semidirect
145. #10622470C22semidirect
146. #10622465C22semidirect
147. #10622454C22semidirect
148. #10622450C22semidirect
149. #10622449C22semidirect
150. #10622442C22semidirect
151. #10622400C22semidirect
152. #10622400C22semidirect
153. #10622397C22semidirect
154. #10622395C22semidirect
155. #10622394C22semidirect
156. #10622394C22semidirect
157. #10622394C22semidirect
158. #10622394C22semidirect
159. #10622393C22semidirect
160. #10622392C22semidirect
161. #10622391C22semidirect
162. #10622388C22semidirect
163. #10622387C22semidirect
164. #10622387C22semidirect
165. #10622385C22semidirect
166. #10622385C22semidirect
167. #10622385C22semidirect
168. #10622385C22semidirect
172. #10622384C22semidirect
173. #10622384C22semidirect
174. #10622384C22semidirect
175. #10622384C22semidirect
176. #10622384C22semidirect
177. #10622384C22semidirect
178. #10622384C22semidirect
179. #10622384C22semidirect
180. #10622384C22semidirect
181. #10622384C22semidirect
182. #10622383C22semidirect
183. #10622381C22semidirect
184. #10622381C22semidirect
185. #10622381C22semidirect
186. #10622381C22semidirect
187. #10622379C22semidirect
188. #10622376C22semidirect
189. #10622371C22semidirect
190. #10622369C22semidirect
191. #10622351C22semidirect
192. #10622351C22semidirect
193. #10622342C22semidirect
194. #10622339C22semidirect
195. #10622339C22semidirect
196. (C22⋊D11)⋊C8C22semidirect
197. #10622336C22semidirect
198. #10622335C22semidirect
199. #10622323C22semidirect
200. #10622320C22semidirect
201. #10622319C22semidirect
202. #10622316C22semidirect
734. #3318D11semidirect
926. D42C2×D11semidirect
949. #490C2×D11semidirect
965. #482C2×D11semidirect
967. #481C2×D11semidirect
977. #478C2×D11semidirect
981. #469C2×D11semidirect
989. #466C2×D11semidirect
1001. #459C2×D11semidirect
1016. #447C2×D11semidirect
1017. #447C2×D11semidirect
1019. #442C2×D11semidirect
1031. #435C2×D11semidirect
1042. #418C2×D11semidirect
1063. C2×#102C2×D11semidirect
1659. C11#61164semidirect

Maximal subgroups

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

subgroupindex
D11×#5532
D4×#43412
#130808752
#130808672
#130808212
#130808132
#130807892
#130807812
#130807572
#130806292
#130806212
#130805972
#130805892
#130805242
#130805162
#130804702
#130804622
#130790152
#130785442
#130785382
#130784332
#130782342
#130782322
#130780752
#130778632
#130774272
#130773492
#130771302
C2×#106223842
C11×#33182
#6116411