Finite Group Databasebeta

← #15649271

Subgroups — #15649271

Order 2816.

1896 conjugacy classes of subgroups.

The subgroup lattice has 1820 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13083130C211yesmaximal, characteristic, complemented
2#13082613C211yesmaximal, characteristic, complemented
3#13081663C211yesmaximal, characteristic, complemented
4#13081661C211yesmaximal, characteristic, complemented
5#13081380C211yesmaximal, characteristic, complemented
6#13081377C211yesmaximal, characteristic, complemented
7#13080875C211yesmaximal, characteristic, complemented
8#13080871C211yesmaximal, characteristic, complemented
9#13080757C211yesmaximal, characteristic, complemented
10#13080750C211yesmaximal, characteristic, complemented
11#13080581C211yesmaximal, characteristic, complemented
12#13080572C211yesmaximal, characteristic, complemented
13#13080230C211yesmaximal, characteristic, complemented
14#13080199C211yesmaximal, characteristic, complemented
15#13080197C211yesmaximal, characteristic, complemented
16#13080150C211yesmaximal, characteristic, complemented
17#13080149C211yesmaximal, characteristic, complemented
18#13080028C211yesmaximal, characteristic, complemented
19#13080023C211yesmaximal, characteristic, complemented
20#13079993C211yesmaximal, characteristic, complemented
21#13079662C211yesmaximal, characteristic, complemented
22#13079659C211yesmaximal, characteristic, complemented
23#13079600C211yesmaximal, characteristic, complemented
24#13078899C211yesmaximal, characteristic, complemented
25#13078894C211yesmaximal, characteristic, complemented
26#13078760C211yesmaximal, characteristic, complemented
27#13078159C211yesmaximal, characteristic, complemented
28#13078152C211yesmaximal, characteristic, complemented
29#13078108C211yesmaximal, characteristic, complemented
30#13077780C211yesmaximal, characteristic, complemented
31C11×#3274C211yesmaximal, characteristic, complemented
32C2×C11×AGL(1,ℤ/8)C2211yescharacteristic
33C2×C11×AGL(1,ℤ/8)C2211yescharacteristic, complemented
34C11×#550C2211yescharacteristic, complemented
35D42×C11C2211yescharacteristic
36#10623365C2211yescharacteristic, complemented
37#10623365C2211yescharacteristic, complemented
38#10623358C2211yescharacteristic, complemented
39#41×Dic11C2211yescharacteristic, complemented
40C2×#67004C2211yescharacteristic, complemented
41C2×#67003C2211yescharacteristic, complemented
42#10623337—21no—
43#10623337C2211yescharacteristic
44#10623336C2211yescharacteristic
45#10623335—21no—
46D4×C22⋊D11C2211yescharacteristic
47C2×#66989C2211yescharacteristic
48C2×#66969C2211yescharacteristic, complemented
49C2×#66967C2211yescharacteristic, complemented
50#10623250—21no—
51#10623250C2211yescharacteristic, complemented
52#10623249—21no—
53#10623249C2211yescharacteristic, complemented
54#10623246C2211yescharacteristic
55#10623244C2211yescharacteristic
56#10623152—21no—
57#10623150—21no—
58#10623150C2211yescharacteristic, complemented
59#10623145—21no—
60#10623145C2211yescharacteristic, complemented
61#10623144—21no—
62#10623143C2211yescharacteristic
63#10623142—21no—
64#10623142C2211yescharacteristic, complemented
65#10623134C2211yescharacteristic
66#10623129C2211yescharacteristic
67#10623127—21no—
68#10623127C2211yescharacteristic
69#10623127C2211yescharacteristic, complemented
70#10623125—21no—
71#10623124—21no—
72#10623124—21no—
73#10623122—21no—
74#10623105C2211yescharacteristic, complemented
75#10623100C2211yescharacteristic, complemented
76#10623096—21no—
77#10623096C2211yescharacteristic, complemented
78#10623092C2211yescharacteristic
79#10623090C2211yescharacteristic
80#10623083C2211yescharacteristic
81#10623069—21no—
82#10623069C2211yescharacteristic
83C11×#493C2211yescharacteristic
84C11×#469C2211yescharacteristic
85C11×#469C2211yescharacteristic, complemented
86C11×#460C2211yescharacteristic
87C11×#459C2211yescharacteristic, complemented
88C11×#449C2211yescharacteristic
89C11×#449C2211yescharacteristic, complemented
90C11×#447C2211yescharacteristic
91C11×#447C2211yescharacteristic, complemented
92C4×C11×SD16C2211yescharacteristic, complemented
93C11×#436C2211yescharacteristic, complemented
94#10622852C2211yescharacteristic, complemented
95#10622851C2211yescharacteristic, complemented
96#10622830C2211yescharacteristic
97#10622830C2211yescharacteristic, complemented
98#10622828C2211yescharacteristic
99C2×#66896C2211yescharacteristic, complemented
100#10622785C2211yescharacteristic
101#10622779C2211yescharacteristic, complemented
102#10622779C2211yescharacteristic, complemented
103#10622779C2211yescharacteristic, complemented
104#10622779C2211yescharacteristic, complemented
105#10622779C2211yescharacteristic, complemented
106#10622777C2211yescharacteristic, complemented
107#10622776C2211yescharacteristic
108#10622776C2211yescharacteristic, complemented
109SD16×Dic11C2211yescharacteristic, complemented
110#10622772C2211yescharacteristic
111#10622771C2211yescharacteristic, complemented
112#10622771C2211yescharacteristic, complemented
113#10622770C2211yescharacteristic
114#10622769C2211yescharacteristic, complemented
115#10622769C2211yescharacteristic, complemented
116#10622767C2211yescharacteristic, complemented
117#10622767C2211yescharacteristic, complemented
118#10622767C2211yescharacteristic, complemented
119#10622766C2211yescharacteristic, complemented
120#10622766C2211yescharacteristic, complemented
121#10622766C2211yescharacteristic, complemented
122#10622766C2211yescharacteristic, complemented
123#10622766C2211yescharacteristic, complemented
124#10622766C2211yescharacteristic, complemented
125#10622766C2211yescharacteristic, complemented
126#10622765C2211yescharacteristic, complemented
127#10622765C2211yescharacteristic, complemented
128#10622764C2211yescharacteristic
129#10622763C2211yescharacteristic
130#10622763C2211yescharacteristic, complemented
131#10622763C2211yescharacteristic, complemented
132#10622763C2211yescharacteristic, complemented
133#10622763C2211yescharacteristic, complemented
134#10622748C2211yescharacteristic, complemented
135#10622747C2211yescharacteristic, complemented
136#10622746C2211yescharacteristic, complemented
137#10622741C2211yescharacteristic, complemented
138#10622740C2211yescharacteristic, complemented
139#10622733C2211yescharacteristic, complemented
140#10622732C2211yescharacteristic, complemented
141#10622731C2211yescharacteristic, complemented
142#10622688C2211yescharacteristic, complemented
143#10622687C2211yescharacteristic, complemented
144#10622685C2211yescharacteristic
145#10622684C2211yescharacteristic
146#10622654C2211yescharacteristic, complemented
147#10622653C2211yescharacteristic, complemented
148#10622652C2211yescharacteristic, complemented
149#10622652C2211yescharacteristic, complemented
150#10622651C2211yescharacteristic
151#10622650C2211yescharacteristic, complemented
152#10622648C2211yescharacteristic, complemented
153#10622647C2211yescharacteristic
154#10622643C2211yescharacteristic, complemented
155#10622641C2211yescharacteristic, complemented
156#10622627C2211yescharacteristic, complemented
157#10622624C2211yescharacteristic, complemented
158#10622622C2211yescharacteristic, complemented
159#10622483C2211yescharacteristic, complemented
160#10622483C2211yescharacteristic, complemented
161#10622475C2211yescharacteristic, complemented
162#10622470C2211yescharacteristic, complemented
163#10622457C2211yescharacteristic, complemented
164#10622452C2211yescharacteristic, complemented
165#10622442C2211yescharacteristic, complemented
166#10622441C2211yescharacteristic, complemented
167#10622430C2211yescharacteristic, complemented
168#10622423C2211yescharacteristic, complemented
169#10622404C2211yescharacteristic, complemented
170#10622402C2211yescharacteristic, complemented
171#10622400C2211yescharacteristic, complemented
172#10622400C2211yescharacteristic, complemented
173#10622399C2211yescharacteristic, complemented
174#10622399C2211yescharacteristic, complemented
175#10622398C2211yescharacteristic, complemented
176#10622393C2211yescharacteristic, complemented
177#10622391C2211yescharacteristic, complemented
178#10622390C2211yescharacteristic
179#10622384C2211yescharacteristic, complemented
180D11×#102C2211yescharacteristic, complemented
181#10622381C2211yescharacteristic, complemented
182#10622379C2211yescharacteristic, complemented
183#10622378C2211yescharacteristic, complemented
184#10622378C2211yescharacteristic, complemented
185#10622377C2211yescharacteristic
186#10622375C2211yescharacteristic, complemented
187#10622374C2211yescharacteristic, complemented
188#10622374C2211yescharacteristic, complemented
189#10622372C2211yescharacteristic, complemented
190#10622371C2211yescharacteristic, complemented
191#10622351C2211yescharacteristic, complemented
192#10622350C2211yescharacteristic, complemented
193#10622347C2211yescharacteristic, complemented
194#10622343C2211yescharacteristic, complemented
195#10622341C2211yescharacteristic, complemented
196#10622334C2211yescharacteristic, complemented
197#10622333C2211yescharacteristic, complemented
198#10622332C2211yescharacteristic, complemented
199#10622310C2211yescharacteristic, complemented
200C4×#4314C2211yescharacteristic, complemented
201#10622303C2211yescharacteristic, complemented
202#10622292C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C2×C11×#41C2311yescharacteristic
205C22×D4×C11—21no—
206C22×D4×C11C2311yescharacteristic
207C22×D4×C11C2311yescharacteristic
208C22×C22⋊D11—21no—
209C2×#4343C2311yescharacteristic
210C2×#4341—21no—
211C2×#4341—21no—
212C2×#4341—21no—
213C2×#4341—21no—
214C2×#4341C2311yescharacteristic
215C2×D4×D11C2311yescharacteristic
216C2×#4339C2311yescharacteristic
217C22×Dic22C2311yescharacteristic
218C11×AGL(1,ℤ/8)—42no—
219C11×AGL(1,ℤ/8)—42no—
220C2×C11×SD16C2311yescharacteristic
221C2×C11×SD16C2311yescharacteristic
222C2×C11×SD16C2311yescharacteristic
223C2×C11×D8C2311yescharacteristic
224C2×C11×D8C2311yescharacteristic
225C2×C11×D8C2311yescharacteristic
226C2×C11×D8C2311yescharacteristic
227C2×C11×D8C2311yescharacteristic
228C2×C11×D8C2311yescharacteristic
229C2×C11×M16C2311yescharacteristic
230C2×C11×M16C2311yescharacteristic
231C11×#127—21no—
232C11×#127C2311yescharacteristic
233C11×#127C2311yescharacteristic
234C11×#121—21no—
235C11×#121—21no—
236C11×#121—21no—
237C11×#121C2311yescharacteristic
238C11×#121C2311yescharacteristic
239C11×#121C2311yescharacteristic
240C11×#121C2311yescharacteristic
241C11×#120—21no—
242C11×#120—21no—
243C4×Q8×C11C2311yescharacteristic
244C4×D4×C11—21no—
245C4×D4×C11C2311yescharacteristic
246C4×D4×C11C2311yescharacteristic
247#67006—21no—
248#67006—21no—
249#67006—21no—
250#67006—21no—
251C2×C22⋊Dic11—21no—
252C2×C22⋊Dic11—21no—
253C2×C22⋊Dic11—21no—
254#67004—42no—
255#67003—42no—
256Q8×Dic11C2311yescharacteristic
257Q8×Dic11C2311yescharacteristic
258Q8×Dic11C2311yescharacteristic
259C2×#4326C2311yescharacteristic
260C2×#4326C2311yescharacteristic
261C2×#4325C2311yescharacteristic
262#66993—21no—
263#66993—21no—
264#66993C2311yescharacteristic
265#66993C2311yescharacteristic
266#66993C2311yescharacteristic
267#66993C2311yescharacteristic
268#66992—21no—
269#66992—21no—
270#66992—21no—
271#66992—21no—
272#66992—21no—
273#66992—21no—
274#66992—21no—
275#66992—21no—
276#66992—21no—
277#66992—21no—
278#66992—21no—
279#66992—21no—
280#66992—21no—
281#66992—21no—
282#66992D411yescharacteristic
283#66991—21no—
284#66991—21no—
285#66991—21no—
286#66991—21no—
287#66991—21no—
288#66991—21no—
289#66991—21no—
290#66991—21no—
291#66991C2311yescharacteristic
292#66991C2311yescharacteristic
293#66991C2311yescharacteristic
294#66990—21no—
295#66990—21no—
296#66990—21no—
297#66990—21no—
298#66989—21no—
299#66989—21no—
300#66989—21no—
301#66989—21no—
302#66989C2311yescharacteristic
303#66989C2311yescharacteristic
304#66989C2311yescharacteristic
305#66989C2311yescharacteristic
306#66989C2311yescharacteristic
307#66988—21no—
308#66988—21no—
309#66988—21no—
310#66988—21no—
311#66988—21no—
312#66988—21no—
313#66988—21no—
314#66988—21no—
315#66988D411yescharacteristic
316D4×Dic11—21no—
317D4×Dic11—21no—
318D4×Dic11—21no—
319D4×Dic11—21no—
320D4×Dic11—21no—
321D4×Dic11—21no—
322D4×Dic11C2311yescharacteristic
323D4×Dic11C2311yescharacteristic
324D4×Dic11C2311yescharacteristic
325D4×Dic11C2311yescharacteristic
326D4×Dic11C2311yescharacteristic
327D4×Dic11C2311yescharacteristic
328C2×#4324C2311yescharacteristic
329C2×#4324C2311yescharacteristic
330C2×#4324C2311yescharacteristic
331C2×#4324C2311yescharacteristic
332C2×#4323C2311yescharacteristic
333C2×#4323C2311yescharacteristic
334C2×#4323C2311yescharacteristic
335C2×#4323C2311yescharacteristic
336C2×#4323C2311yescharacteristic
337#66983—21no—
338#66983—21no—
339#66983C2311yescharacteristic
340#66983C2311yescharacteristic
341#66983C2311yescharacteristic
342#66982—21no—
343#66982—21no—
344C4×C22⋊D11—21no—
345C4×C22⋊D11—21no—
346C4×C22⋊D11—21no—
347C4×C22⋊D11C2311yescharacteristic
348C4×C22⋊D11C2311yescharacteristic
349#66979—21no—
350#66979—21no—
351#66979C2311yescharacteristic
352#66979C2311yescharacteristic
353C2×C4⋊Dic11—21no—
354C2×C4⋊Dic11C2311yescharacteristic
355#66977—21no—
356#66977C2311yescharacteristic
357C2×C4×Dic11—21no—
358C2×C4×Dic11C2311yescharacteristic
359C2×#4318C2311yescharacteristic
360C22×C11⋊C8C2311yescharacteristic
361#66969—42no—
362#66967—42no—
363C2×D88C2311yescharacteristic
364C2×#4314C2311yescharacteristic
365C2×#4314C2311yescharacteristic
366C2×#4313C2311yescharacteristic
367C2×C8×D11C2311yescharacteristic
368#66951—21no—
369#66951D411yescharacteristic
370#66950C2311yescharacteristic
371#66949—21no—
372#66946—21no—
373#66946C2311yescharacteristic
374#66946C2311yescharacteristic
375C4⋊C4×D11—21no—
376C4⋊C4×D11C2311yescharacteristic
377#66943—21no—
378#66943C2311yescharacteristic
379#66942D411yescharacteristic
380#66941—21no—
381#66941C2311yescharacteristic
382#66941C2311yescharacteristic
383#66940C2311yescharacteristic
384#66939—21no—
385#66939D411yescharacteristic
386#66938—21no—
387#66938—21no—
388#66938—21no—
389#66938—21no—
390#66938—21no—
391#66938—21no—
392#66938D411yescharacteristic
393#66936—21no—
394#66936—21no—
395#66936—21no—
396#66936—21no—
397#66936—21no—
398(C22⋊D11)⋊C4—21no—
399(C22⋊D11)⋊C4—21no—
400(C22⋊D11)⋊C4—21no—
401(C22⋊D11)⋊C4—21no—
402(C22⋊D11)⋊C4—21no—
403C22⋊C4×D11—21no—
404#66932—21no—
405#66932—21no—
406#66932—21no—
407#66932D411yescharacteristic
408#66931—21no—
409#66931—21no—
410#66931—21no—
411#66931D411yescharacteristic
412#66928C2311yescharacteristic
413C4×D44—21no—
414C4×D44C2311yescharacteristic
415#66925—21no—
416#66925C2311yescharacteristic
417#66923—21no—
418#66923C2311yescharacteristic
419C4×Dic22—21no—
420C4×Dic22C2311yescharacteristic
421C4×Dic22C2311yescharacteristic
422C11×#106C2311yescharacteristic
423C11×C4⋊C8C2311yescharacteristic
424C11×#103C2311yescharacteristic
425C11×#102C2311yescharacteristic
426C11×#102C2311yescharacteristic
427C11×#102C2311yescharacteristic
428C11×#102C2311yescharacteristic
429C11×#102C2311yescharacteristic
430C11×C22⋊C8C2311yescharacteristic
431C11×C22⋊C8C2311yescharacteristic
432C4×C8×C11C2311yescharacteristic
433#66899C2311yescharacteristic
434#66896C2311yescharacteristic
435#66896C2311yescharacteristic
436#66896C2311yescharacteristic
437#66896C2311yescharacteristic
438#66896C2311yescharacteristic
439#66896C2311yescharacteristic
440#66896C2311yescharacteristic
441#66896C2311yescharacteristic
442#66896C2311yescharacteristic
443#66896C2311yescharacteristic
444#66896C2311yescharacteristic
445C22⋊(C11⋊C8)C2311yescharacteristic
446C22⋊(C11⋊C8)C2311yescharacteristic
447#66885C2311yescharacteristic
448#66885C2311yescharacteristic
449#66885C2311yescharacteristic
450#66885C2311yescharacteristic
451(C2×D11)⋊C8C2311yescharacteristic
452(C2×D11)⋊C8C2311yescharacteristic
453#66882C2311yescharacteristic
454#66881C2311yescharacteristic
455#66881C2311yescharacteristic
456#66880C2311yescharacteristic
457#66880C2311yescharacteristic
458#66880C2311yescharacteristic
459#66880C2311yescharacteristic
460#66880C2311yescharacteristic
461#66880C2311yescharacteristic
462#66879C2311yescharacteristic
463#66879C2311yescharacteristic
464#66879C2311yescharacteristic
465Dic11⋊C8C2311yescharacteristic
466Dic11⋊C8C2311yescharacteristic
467Dic11⋊C8C2311yescharacteristic
468Dic11⋊C8C2311yescharacteristic
469Dic11⋊C8C2311yescharacteristic
470Dic11⋊C8C2311yescharacteristic
471Dic11⋊C8C2311yescharacteristic
472Dic11⋊C8C2311yescharacteristic
473C8×Dic11C2311yescharacteristic
474#66874C2311yescharacteristic
475#66874C2311yescharacteristic
476#66873C2311yescharacteristic
477#66873C2311yescharacteristic
478#66872C2311yescharacteristic
479#66872C2311yescharacteristic
480#66872C2311yescharacteristic
481#66871C2311yescharacteristic
482C4⋊(C11⋊C8)C2311yescharacteristic
483#66867C2311yescharacteristic
484#62093—111nomaximal, Sylow
485C24×C11—21no—
486C24×C11—21no—
487C23×D11—21no—
488C11×#41—22no—
489C11×#41—22no—
490C11×#41—41no—
491C11×#41—41no—
492C2×Q8×C11C2411yescharacteristic
493C2×D4×C11—21no—
494C2×D4×C11—21no—
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—21no—
504C2×D4×C11—21no—
505C2×D4×C11—41no—
506C2×D4×C11—41no—
507C2×D4×C11—41no—
508C2×D4×C11—41no—
509C2×D4×C11—82no—
510C2×D4×C11C2×D411yescharacteristic
511C2×D4×C11C2411yescharacteristic
512C2×D4×C11C2411yescharacteristic
513C2×D4×C11C2411yescharacteristic
514C2×D4×C11C2411yescharacteristic
515C2×D4×C11C2411yescharacteristic
516C22×C4×C11—21no—
517C22×C4×C11—21no—
518C22×C4×C11—21no—
519C22×C4×C11C2411yescharacteristic
520C22×C4×C11C2411yescharacteristic
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—21no—
531C2×C22⋊D11—21no—
532C2×C22⋊D11—21no—
533C2×C22⋊D11—21no—
534C2×C22⋊D11—21no—
535C2×C22⋊D11—21no—
536C2×C22⋊D11—21no—
537C2×C22⋊D11—21no—
538C2×C22⋊D11—82no—
539C2×C22⋊D11C2×D411yescharacteristic
540C2×C22⋊D11C2×D411yescharacteristic
541C22×Dic11—21no—
542C22×Dic11—21no—
543C22×Dic11—21no—
544C22×Dic11—21no—
545C22×Dic11—21no—
546C22×Dic11—21no—
547C22×Dic11—21no—
548C22×Dic11—21no—
549C22×Dic11—21no—
550C22×Dic11C2×D411yescharacteristic
551C22×Dic11C2×D411yescharacteristic
552#4343—22no—
553#4343—41no—
554#4341—41no—
555#4341—41no—
556#4341—82no—
557#4341—82no—
558#4341—82no—
559#4341—82no—
560D4×D11—41no—
561D4×D11—41no—
562#4339—41no—
563#4339—41no—
564C2×D44—21no—
565C2×D44C2411yescharacteristic
566C2×D44C2411yescharacteristic
567C2×C4×D11—21no—
568C2×C4×D11—21no—
569C2×C4×D11—21no—
570C2×C4×D11—21no—
571C2×C4×D11—21no—
572C2×C4×D11—21no—
573C2×C4×D11C2411yescharacteristic
574C2×Dic22—21no—
575C2×Dic22—21no—
576C2×Dic22—21no—
577C2×Dic22—41no—
578C2×Dic22—41no—
579C2×Dic22C2×D411yescharacteristic
580C2×Dic22C2411yescharacteristic
581C2×Dic22C2411yescharacteristic
582C11×SD16—22no—
583C11×SD16—22no—
584C11×SD16—22no—
585C11×D8—41no—
586C11×D8—41no—
587C11×D8—41no—
588C11×D8—41no—
589C11×D8—41no—
590C11×D8—41no—
591C11×M16—41no—
592C11×M16—41no—
593C2×C8×C11C2411yescharacteristic
594C2×C8×C11C2411yescharacteristic
595C2×C8×C11C2411yescharacteristic
596C2×C8×C11C2411yescharacteristic
597C11×C4⋊C4—21no—
598C11×C4⋊C4C2×D411yescharacteristic
599C11×C4⋊C4C2411yescharacteristic
600C11×C4⋊C4C2411yescharacteristic
601C11×C22⋊C4—21no—
602C11×C22⋊C4—21no—
603C11×C22⋊C4—21no—
604C11×C22⋊C4—21no—
605C11×C22⋊C4—21no—
606C11×C22⋊C4C2×D411yescharacteristic
607C11×C22⋊C4C2×D411yescharacteristic
608C42×C11—21no—
609C42×C11C2411yescharacteristic
610C22⋊Dic11—21no—
611C22⋊Dic11—21no—
612C22⋊Dic11—21no—
613C22⋊Dic11—21no—
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—
625C22⋊Dic11—21no—
626C22⋊Dic11—21no—
627C22⋊Dic11—21no—
628C22⋊Dic11—21no—
629C22⋊Dic11—21no—
630C22⋊Dic11—21no—
631C22⋊Dic11C2×D411yescharacteristic
632C22⋊Dic11C2×D411yescharacteristic
633C22⋊Dic11C2×D411yescharacteristic
634C22⋊Dic11C2×D411yescharacteristic
635#4326—22no—
636#4326—22no—
637#4325—22no—
638#4324—41no—
639#4324—41no—
640#4324—41no—
641#4324—41no—
642#4323—41no—
643#4323—41no—
644#4323—41no—
645#4323—41no—
646#4323—41no—
647(C2×D11)⋊C4—21no—
648(C2×D11)⋊C4—21no—
649(C2×D11)⋊C4—21no—
650(C2×D11)⋊C4—21no—
651(C2×D11)⋊C4—21no—
652(C2×D11)⋊C4—21no—
653(C2×D11)⋊C4—21no—
654(C2×D11)⋊C4—21no—
655(C2×D11)⋊C4—21no—
656(C2×D11)⋊C4C2×D411yescharacteristic
657(C2×D11)⋊C4C2×D411yescharacteristic
658(C2×D11)⋊C4C2×D411yescharacteristic
659(C2×D11)⋊C4C2×D411yescharacteristic
660C4⋊Dic11—21no—
661C4⋊Dic11—21no—
662C4⋊Dic11—21no—
663C4⋊Dic11—21no—
664C4⋊Dic11—21no—
665C4⋊Dic11—21no—
666C4⋊Dic11C2×D411yescharacteristic
667C4⋊Dic11C2×D411yescharacteristic
668C4⋊Dic11C2×D411yescharacteristic
669C4⋊Dic11C2411yescharacteristic
670C4⋊Dic11C2411yescharacteristic
671C4⋊Dic11C2411yescharacteristic
672C4⋊Dic11C2411yescharacteristic
673Dic11⋊C4—21no—
674Dic11⋊C4—21no—
675Dic11⋊C4—21no—
676Dic11⋊C4—21no—
677Dic11⋊C4—21no—
678Dic11⋊C4—21no—
679Dic11⋊C4—21no—
680Dic11⋊C4—21no—
681Dic11⋊C4—21no—
682Dic11⋊C4C2×D411yescharacteristic
683Dic11⋊C4C2×D411yescharacteristic
684Dic11⋊C4C2×D411yescharacteristic
685Dic11⋊C4C2×D411yescharacteristic
686Dic11⋊C4C2×D411yescharacteristic
687Dic11⋊C4C2×D411yescharacteristic
688C4×Dic11—21no—
689C4×Dic11—21no—
690C4×Dic11—21no—
691C4×Dic11—21no—
692C4×Dic11—21no—
693C4×Dic11—21no—
694C4×Dic11C2×D411yescharacteristic
695C4×Dic11C2×D411yescharacteristic
696C4×Dic11C2411yescharacteristic
697C4×Dic11C2411yescharacteristic
698C4×Dic11C2411yescharacteristic
699#4318—41no—
700C2×C11⋊C8—41no—
701C2×C11⋊C8C2411yescharacteristic
702C2×C11⋊C8C2411yescharacteristic
703C2×C11⋊C8C2411yescharacteristic
704C2×C11⋊C8C2411yescharacteristic
705D88—41no—
706#4314—41no—
707#4314—41no—
708#4313—41no—
709C8×D11—41no—
710#3558—111no—
711#3517—111no—
712#3399—111no—
713#3399—111no—
714#3371—111no—
715#3371—111no—
716#3326—111no—
717#3326—111no—
718#3318—111no—
719#3318—111no—
720#3306—111no—
721#3306—111no—
722#3274—111no—
723#3274D1111yescharacteristic, complemented
724#3271—111no—
725#3271—111no—
726#3268—111no—
727#3268—111no—
728#3257—111no—
729#3257—111no—
730#3253—111no—
731#3220—111no—
732#3220—111no—
733#3213—111no—
734#3125—111no—
735#3125—111no—
736#3115—111no—
737#3045—111no—
738#3045—111no—
739#3040—111no—
740#2995—111no—
741C23×C11—21no—
742C23×C11—21no—
743C23×C11—21no—
744C23×C11—21no—
745C23×C11—21no—
746C23×C11—42no—
747C23×C11—81no—
748C23×C11—81no—
749C23×C11—81no—
750C23×C11—81no—
751C23×C11—81no—
752C23×C11C22×D411yescharacteristic
753C23×C11C22×D411yescharacteristic
754C22×D11—21no—
755C22×D11—21no—
756C22×D11—81no—
757C22×D11—81no—
758C22×D11—81no—
759C22×D11C22×D411yescharacteristic
760Q8×C11—21no—
761Q8×C11H(5,𝔽2)12yes—
762D4×C11—21no—
763D4×C11—21no—
764D4×C11—21no—
765D4×C11—21no—
766D4×C11—21no—
767D4×C11—21no—
768D4×C11—21no—
769D4×C11—21no—
770D4×C11—21no—
771D4×C11—21no—
772D4×C11—41no—
773D4×C11—42no—
774D4×C11—42no—
775D4×C11—42no—
776D4×C11—81no—
777D4×C11—81no—
778D4×C11—81no—
779D4×C11—81no—
780D4×C11—81no—
781D4×C11—81no—
782D4×C11—81no—
783D4×C11—81no—
784D4×C11—81no—
785C2×C4×C11—21no—
786C2×C4×C11—21no—
787C2×C4×C11—21no—
788C2×C4×C11—21no—
789C2×C4×C11—21no—
790C2×C4×C11—21no—
791C2×C4×C11—21no—
792C2×C4×C11—42no—
793C2×C4×C11—42no—
794C2×C4×C11—81no—
795C2×C4×C11C22×D411yescharacteristic
796C2×C4×C11C22×D411yescharacteristic
797C2×C4×C11C22×D411yescharacteristic
798C2×C4×C11C22×D411yescharacteristic
799C2×C4×C11C2511yescharacteristic
800C22⋊D11—41no—
801C22⋊D11—41no—
802C22⋊D11—42no—
803C22⋊D11—42no—
804C22⋊D11—81no—
805C22⋊D11—81no—
806C22⋊D11—81no—
807C22⋊D11—81no—
808C22⋊D11—81no—
809C22⋊D11—81no—
810C22⋊D11—81no—
811C22⋊D11—81no—
812C22⋊D11—81no—
813C22⋊D11—81no—
814C22⋊D11—81no—
815C22⋊D11—81no—
816C22⋊D11—81no—
817C22⋊D11—81no—
818C22⋊D11—81no—
819C2×Dic11—21no—
820C2×Dic11—21no—
821C2×Dic11—21no—
822C2×Dic11—21no—
823C2×Dic11—21no—
824C2×Dic11—21no—
825C2×Dic11—41no—
826C2×Dic11—41no—
827C2×Dic11—42no—
828C2×Dic11—81no—
829C2×Dic11—81no—
830C2×Dic11—81no—
831C2×Dic11—81no—
832C2×Dic11—81no—
833C2×Dic11—81no—
834C2×Dic11—81no—
835C2×Dic11—81no—
836C2×Dic11C22×D411yescharacteristic
837C2×Dic11C22×D411yescharacteristic
838C2×Dic11C22×D411yescharacteristic
839C2×Dic11C22×D411yescharacteristic
840C2×Dic11C22×D411yescharacteristic
841C2×Dic11C22×D411yescharacteristic
842C2×Dic11C22×D411yescharacteristic
843D44—21no—
844D44—21no—
845D44—21no—
846D44—21no—
847D44—42no—
848C4×D11—21no—
849C4×D11—21no—
850C4×D11—42no—
851C4×D11—81no—
852C4×D11—81no—
853C4×D11—81no—
854C4×D11—81no—
855C4×D11—81no—
856Dic22—21no—
857Dic22—21no—
858Dic22—21no—
859Dic22—21no—
860Dic22—41no—
861Dic22—42no—
862Dic22—81no—
863Dic22—81no—
864C8×C11—21no—
865C8×C11—21no—
866C8×C11—21no—
867C8×C11—21no—
868C11⋊C8—21no—
869C11⋊C8—21no—
870C11⋊C8—21no—
871C11⋊C8—21no—
872C2×#137—111no—
873C2×AGL(1,ℤ/8)—111no—
874C2×AGL(1,ℤ/8)C2×D1111yescharacteristic
875C2×AGL(1,ℤ/8)C2×D1111yescharacteristic, complemented
876C2×#135—111no—
877C2×#135—111no—
878#562—221no—
879H(3,𝔽4)—221no—
880#559—111no—
881#559—111no—
882#557—111no—
883#553—111no—
884#553—111no—
885#553—221no—
886#553—221no—
887#550—111no—
888#550—111no—
889#550—111no—
890#550—221no—
891#550C2×D1111yescharacteristic, complemented
892#548—111no—
893#548—111no—
894#547—111no—
895#547—221no—
896#546—111no—
897#546—111no—
898#546—221no—
899#546—221no—
900D42—111no—
901D42C2×D1111yescharacteristic
902#542—111no—
903#542—111no—
904#540—111no—
905#540—111no—
906#540—221no—
907#540—221no—
908#538—221no—
909#538—221no—
910#538—221no—
911#535—111no—
912#535—111no—
913#534—221no—
914#532—111no—
915#532—111no—
916#532—221no—
917#529—111no—
918#529—221no—
919C2×#124—111no—
920#520—111no—
921#520—111no—
922C4×#41—111no—
923#496—111no—
924#496—111no—
925#496—111no—
926#496—111no—
927#493—111no—
928#493C2×D1111yescharacteristic
929#490—111no—
930#490—111no—
931#489—111no—
932#489—111no—
933#488—111no—
934#488—111no—
935#483—111no—
936#483—111no—
937#482—111no—
938#482—111no—
939#481—111no—
940#481—111no—
941#479—111no—
942#479—111no—
943#478—111no—
944#478—111no—
945#476—111no—
946#476—111no—
947#476—111no—
948#476—111no—
949#475—111no—
950#474—111no—
951#469—111no—
952#469—111no—
953#469—111no—
954#469—111no—
955#469C2×D1111yescharacteristic
956#469C2×D1111yescharacteristic, complemented
957#468—111no—
958#468—111no—
959#466—111no—
960#466—111no—
961#465—111no—
962#465—111no—
963#464—111no—
964#464—111no—
965#464—111no—
966#464—111no—
967#464—111no—
968#464—111no—
969#463—111no—
970#463—111no—
971#463—111no—
972#463—111no—
973#463—111no—
974#463—111no—
975#463—111no—
976#463—111no—
977#463—111no—
978#463—111no—
979#460—111no—
980#460—111no—
981#460—111no—
982#460—111no—
983#460C2×D1111yescharacteristic
984#459—111no—
985#459—111no—
986#459—111no—
987#459—111no—
988#459—111no—
989#459—111no—
990#459—111no—
991#459—111no—
992#459C2×D1111yescharacteristic, complemented
993#452—111no—
994#452—111no—
995#449—111no—
996#449—111no—
997#449—111no—
998#449—111no—
999#449—111no—
1000#449—111no—
1001#449C2×D1111yescharacteristic
1002#449C2×D1111yescharacteristic, complemented
1003#448—111no—
1004#448—111no—
1005#447—111no—
1006#447—111no—
1007#447—111no—
1008#447—111no—
1009#447C2×D1111yescharacteristic
1010#447C2×D1111yescharacteristic, complemented
1011#446—111no—
1012#446—111no—
1013#442—111no—
1014#442—111no—
1015#442—111no—
1016#442—111no—
1017#441—111no—
1018#441—111no—
1019#440—111no—
1020#440—111no—
1021C4×SD16—111no—
1022C4×SD16—111no—
1023C4×SD16—111no—
1024C4×SD16C2×D1111yescharacteristic, complemented
1025#436—111no—
1026#436C2×D1111yescharacteristic, complemented
1027#435—111no—
1028#435—111no—
1029#435—111no—
1030#435—111no—
1031#433—111no—
1032#433—111no—
1033#432—111no—
1034#424—111no—
1035#424—111no—
1036#423—111no—
1037#419—111no—
1038#418—111no—
1039#417—111no—
1040#417—111no—
1041C2×#102—111no—
1042C2×#102—111no—
1043C22×C11—21no—
1044C22×C11—21no—
1045C22×C11—21no—
1046C22×C11—21no—
1047C22×C11—21no—
1048C22×C11—21no—
1049C22×C11—41no—
1050C22×C11—41no—
1051C22×C11—41no—
1052C22×C11—41no—
1053C22×C11—41no—
1054C22×C11—41no—
1055C22×C11—41no—
1056C22×C11—41no—
1057C22×C11—41no—
1058C22×C11—41no—
1059C22×C11—41no—
1060C22×C11—41no—
1061C22×C11—41no—
1062C22×C11—41no—
1063C22×C11—41no—
1064C22×C11—162no—
1065C22×C11—162no—
1066C22×C11C23×D411yescharacteristic
1067C2×D11—21no—
1068C2×D11—21no—
1069C2×D11—21no—
1070C2×D11—41no—
1071C2×D11—41no—
1072C2×D11—41no—
1073C2×D11—41no—
1074C2×D11—41no—
1075C2×D11—41no—
1076C2×D11—162no—
1077C4×C11—21no—
1078C4×C11—21no—
1079C4×C11—21no—
1080C4×C11—21no—
1081C4×C11—22no—
1082C4×C11—41no—
1083C4×C11—41no—
1084C4×C11C2×H(5,𝔽2)11yescharacteristic
1085C4×C11#58511yescharacteristic
1086Dic11—21no—
1087Dic11—21no—
1088Dic11—21no—
1089Dic11—21no—
1090Dic11—21no—
1091Dic11—21no—
1092Dic11—21no—
1093Dic11—41no—
1094Dic11—41no—
1095Dic11—41no—
1096Dic11—41no—
1097Dic11—41no—
1098Dic11—41no—
1099C2×#41—111no—
1100C2×#41—111no—
1101C2×#41—111no—
1102C2×#41—221no—
1103C2×#41—221no—
1104C2×#41—221no—
1105C2×#41—221no—
1106C2×#41C22×D1111yescharacteristic
1107C2×#41C22×D1111yescharacteristic
1108C22×Q8—111no—
1109C22×D4—21no—
1110C22×D4—111no—
1111C22×D4—221no—
1112C22×D4C22×D1111yescharacteristic
1113C22×D4C22×D1111yescharacteristic
1114#137—442no—
1115AGL(1,ℤ/8)—42no—
1116AGL(1,ℤ/8)—42no—
1117AGL(1,ℤ/8)—442no—
1118#135—442no—
1119#135—442no—
1120C2×Q16—111no—
1121C2×Q16—111no—
1122C2×SD16—111no—
1123C2×SD16—111no—
1124C2×SD16—111no—
1125C2×SD16—111no—
1126C2×SD16—111no—
1127C2×SD16—111no—
1128C2×SD16—111no—
1129C2×SD16C22×D1111yescharacteristic
1130C2×SD16C22×D1111yescharacteristic
1131C2×SD16C22×D1111yescharacteristic
1132C2×D8—111no—
1133C2×D8—111no—
1134C2×D8—111no—
1135C2×D8—111no—
1136C2×D8—111no—
1137C2×D8—111no—
1138C2×D8C22×D1111yescharacteristic
1139C2×D8C22×D1111yescharacteristic
1140C2×D8C22×D1111yescharacteristic
1141C2×D8C22×D1111yescharacteristic
1142C2×D8C22×D1111yescharacteristic
1143C2×D8C22×D1111yescharacteristic
1144C2×M16—111no—
1145C2×M16—111no—
1146C2×M16C22×D1111yescharacteristic
1147C2×M16C22×D1111yescharacteristic
1148C22×C8—111no—
1149C22×C8—111no—
1150C4⋊Q8—111no—
1151C4⋊Q8—111no—
1152C4⋊Q8—221no—
1153#127—21no—
1154#127—111no—
1155#127—111no—
1156#127—111no—
1157#127—111no—
1158#127—221no—
1159#127—221no—
1160#127C22×D1111yescharacteristic
1161#127C22×D1111yescharacteristic
1162#126—111no—
1163#126—111no—
1164#126—221no—
1165#126—221no—
1166#126—221no—
1167#126—221no—
1168#125—111no—
1169#125—111no—
1170#125—111no—
1171#125—221no—
1172#125—221no—
1173#124—111no—
1174#124—111no—
1175#124—111no—
1176#124—111no—
1177#124—111no—
1178#124—111no—
1179#124—111no—
1180#124—221no—
1181#124—221no—
1182#124—221no—
1183#124—221no—
1184#124—221no—
1185#124—221no—
1186#124—221no—
1187#124—221no—
1188#124—221no—
1189#124—221no—
1190#123—111no—
1191#123—111no—
1192#123—221no—
1193#123—221no—
1194#123—221no—
1195#123—221no—
1196#123—221no—
1197#123—221no—
1198#123—221no—
1199#123—221no—
1200#123—221no—
1201#123—221no—
1202#123—221no—
1203#123—221no—
1204#123—221no—
1205#123—221no—
1206#123—221no—
1207#123—221no—
1208C22⋊Q8—111no—
1209C22⋊Q8—111no—
1210C22⋊Q8—111no—
1211C22⋊Q8—221no—
1212C22⋊Q8—221no—
1213C22⋊Q8—221no—
1214C22⋊Q8—221no—
1215C22⋊Q8—221no—
1216#121—21no—
1217#121—21no—
1218#121—21no—
1219#121—111no—
1220#121—111no—
1221#121—111no—
1222#121—111no—
1223#121—111no—
1224#121—111no—
1225#121—111no—
1226#121—221no—
1227#121—221no—
1228#121—221no—
1229#121—221no—
1230#121—221no—
1231#121—221no—
1232#121—221no—
1233#121—221no—
1234#121—221no—
1235#121—221no—
1236#121—221no—
1237#121—221no—
1238#121—221no—
1239#121—221no—
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#121C22×D1111yescharacteristic
1251#121C22×D1111yescharacteristic
1252#121C22×D1111yescharacteristic
1253#121C22×D1111yescharacteristic
1254#120—21no—
1255#120—21no—
1256#120—221no—
1257#120—221no—
1258#120—221no—
1259#120—221no—
1260#120—221no—
1261#120—221no—
1262#120—221no—
1263#120—221no—
1264C4×Q8—111no—
1265C4×Q8—111no—
1266C4×Q8—111no—
1267C4×Q8—111no—
1268C4×Q8—111no—
1269C4×Q8—111no—
1270C4×Q8—221no—
1271C4×Q8C22×D1111yescharacteristic
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×D4C22×D1111yescharacteristic
1301C4×D4C22×D1111yescharacteristic
1302#117—111no—
1303#117—111no—
1304#117—111no—
1305#117—221no—
1306#117—221no—
1307#117—221no—
1308C2×C4⋊C4—111no—
1309C2×C4⋊C4—111no—
1310C2×C4⋊C4—221no—
1311C2×C4⋊C4—221no—
1312C2×C22⋊C4—221no—
1313C2×C22⋊C4—221no—
1314C2×C22⋊C4—221no—
1315C2×C22⋊C4—221no—
1316C2×C42—111no—
1317C2×C42—221no—
1318#107—111no—
1319#107—111no—
1320#106—111no—
1321#106—111no—
1322#106—111no—
1323#106—111no—
1324#106—111no—
1325#106C22×D1111yescharacteristic
1326C4⋊C8—111no—
1327C4⋊C8—111no—
1328C4⋊C8—111no—
1329C4⋊C8—111no—
1330C4⋊C8—111no—
1331C4⋊C8—111no—
1332C4⋊C8—111no—
1333C4⋊C8—111no—
1334C4⋊C8—111no—
1335C4⋊C8C22×D1111yescharacteristic
1336#103—111no—
1337#103—111no—
1338#103—111no—
1339#103—111no—
1340#103—111no—
1341#103—111no—
1342#103—111no—
1343#103—111no—
1344#103—111no—
1345#103C22×D1111yescharacteristic
1346#102—111no—
1347#102—111no—
1348#102—111no—
1349#102—111no—
1350#102—111no—
1351#102—111no—
1352#102—111no—
1353#102—111no—
1354#102—111no—
1355#102—111no—
1356#102—111no—
1357#102—111no—
1358#102—111no—
1359#102—111no—
1360#102—111no—
1361#102—111no—
1362#102—111no—
1363#102C22×D1111yescharacteristic
1364#102C22×D1111yescharacteristic
1365#102C22×D1111yescharacteristic
1366#102C22×D1111yescharacteristic
1367#102C22×D1111yescharacteristic
1368C22⋊C8—111no—
1369C22⋊C8—111no—
1370C22⋊C8—111no—
1371C22⋊C8—111no—
1372C22⋊C8C22×D1111yescharacteristic
1373C22⋊C8C22×D1111yescharacteristic
1374#97—111no—
1375#97—111no—
1376#97—111no—
1377#97—111no—
1378C4×C8—111no—
1379C4×C8C22×D1111yescharacteristic
1380C2×C11—41no—
1381C2×C11—41no—
1382C2×C11—81no—
1383C2×C11—81no—
1384C2×C11—81no—
1385C2×C11—81no—
1386C2×C11—81no—
1387C2×C11#348811yescharacteristic
1388C2×C11#358511yescharacteristic
1389C2×C11#358511yescharacteristic
1390D11—41no—
1391D11—81no—
1392D11—81no—
1393C24—21no—
1394C24—21no—
1395C24—221no—
1396#41—22no—
1397#41—22no—
1398#41—41no—
1399#41—41no—
1400#41—222no—
1401#41—441no—
1402#41—441no—
1403#41—441no—
1404#41—441no—
1405#41—441no—
1406#41—882no—
1407#41—882no—
1408#41—882no—
1409#41—882no—
1410C2×Q8—111no—
1411C2×Q8—111no—
1412C2×Q8—111no—
1413C2×Q8—221no—
1414C2×Q8—221no—
1415C2×Q8—221no—
1416C2×Q8—441no—
1417C2×Q8—441no—
1418C2×Q8C23×D1111yescharacteristic
1419C2×D4—21no—
1420C2×D4—21no—
1421C2×D4—21no—
1422C2×D4—21no—
1423C2×D4—21no—
1424C2×D4—21no—
1425C2×D4—21no—
1426C2×D4—21no—
1427C2×D4—21no—
1428C2×D4—21no—
1429C2×D4—21no—
1430C2×D4—21no—
1431C2×D4—41no—
1432C2×D4—41no—
1433C2×D4—41no—
1434C2×D4—41no—
1435C2×D4—82no—
1436C2×D4—111no—
1437C2×D4—111no—
1438C2×D4—111no—
1439C2×D4—111no—
1440C2×D4—221no—
1441C2×D4—221no—
1442C2×D4—221no—
1443C2×D4—221no—
1444C2×D4—221no—
1445C2×D4—221no—
1446C2×D4—221no—
1447C2×D4—221no—
1448C2×D4—221no—
1449C2×D4—221no—
1450C2×D4—221no—
1451C2×D4—221no—
1452C2×D4—221no—
1453C2×D4—221no—
1454C2×D4—221no—
1455C2×D4—221no—
1456C2×D4—221no—
1457C2×D4—221no—
1458C2×D4—441no—
1459C2×D4—441no—
1460C2×D4—882no—
1461C2×D4D4×D1111yescharacteristic
1462C2×D4C23×D1111yescharacteristic
1463C2×D4C23×D1111yescharacteristic
1464C2×D4C23×D1111yescharacteristic
1465C2×D4C23×D1111yescharacteristic
1466C2×D4C23×D1111yescharacteristic
1467C22×C4—21no—
1468C22×C4—21no—
1469C22×C4—21no—
1470C22×C4—111no—
1471C22×C4—111no—
1472C22×C4—111no—
1473C22×C4—221no—
1474C22×C4—221no—
1475C22×C4—221no—
1476C22×C4—221no—
1477C22×C4—221no—
1478C22×C4—221no—
1479C22×C4—221no—
1480C22×C4—221no—
1481C22×C4—221no—
1482C22×C4—221no—
1483C22×C4—221no—
1484C22×C4—221no—
1485C22×C4—221no—
1486C22×C4—221no—
1487C22×C4—221no—
1488C22×C4C23×D1111yescharacteristic
1489C22×C4C23×D1111yescharacteristic
1490Q16—222no—
1491Q16—222no—
1492SD16—22no—
1493SD16—22no—
1494SD16—22no—
1495SD16—222no—
1496SD16—441no—
1497SD16—441no—
1498SD16—441no—
1499SD16—441no—
1500SD16—441no—
1501SD16—441no—
1502D8—41no—
1503D8—41no—
1504D8—41no—
1505D8—41no—
1506D8—41no—
1507D8—41no—
1508D8—441no—
1509D8—441no—
1510D8—441no—
1511D8—441no—
1512D8—441no—
1513D8—441no—
1514M16—41no—
1515M16—41no—
1516M16—441no—
1517M16—441no—
1518C2×C8—111no—
1519C2×C8—111no—
1520C2×C8—111no—
1521C2×C8—111no—
1522C2×C8—441no—
1523C2×C8—441no—
1524C2×C8C23×D1111yescharacteristic
1525C2×C8C23×D1111yescharacteristic
1526C2×C8C23×D1111yescharacteristic
1527C2×C8C23×D1111yescharacteristic
1528C4⋊C4—21no—
1529C4⋊C4—111no—
1530C4⋊C4—111no—
1531C4⋊C4—111no—
1532C4⋊C4—111no—
1533C4⋊C4—111no—
1534C4⋊C4—111no—
1535C4⋊C4—111no—
1536C4⋊C4—111no—
1537C4⋊C4—111no—
1538C4⋊C4—111no—
1539C4⋊C4—111no—
1540C4⋊C4—111no—
1541C4⋊C4—111no—
1542C4⋊C4—221no—
1543C4⋊C4—221no—
1544C4⋊C4—221no—
1545C4⋊C4—221no—
1546C4⋊C4—221no—
1547C4⋊C4—221no—
1548C4⋊C4—221no—
1549C4⋊C4—221no—
1550C4⋊C4—221no—
1551C4⋊C4—221no—
1552C4⋊C4—221no—
1553C4⋊C4—221no—
1554C4⋊C4—221no—
1555C4⋊C4—221no—
1556C4⋊C4—221no—
1557C4⋊C4D4×D1111yescharacteristic
1558C4⋊C4C23×D1111yescharacteristic
1559C4⋊C4C23×D1111yescharacteristic
1560C22⋊C4—21no—
1561C22⋊C4—21no—
1562C22⋊C4—21no—
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4—111no—
1566C22⋊C4—111no—
1567C22⋊C4—111no—
1568C22⋊C4—111no—
1569C22⋊C4—111no—
1570C22⋊C4—111no—
1571C22⋊C4—111no—
1572C22⋊C4—111no—
1573C22⋊C4—221no—
1574C22⋊C4—221no—
1575C22⋊C4—221no—
1576C22⋊C4—221no—
1577C22⋊C4—221no—
1578C22⋊C4—221no—
1579C22⋊C4—221no—
1580C22⋊C4—221no—
1581C22⋊C4—221no—
1582C22⋊C4—221no—
1583C22⋊C4—221no—
1584C22⋊C4—221no—
1585C22⋊C4—221no—
1586C22⋊C4—221no—
1587C22⋊C4—221no—
1588C22⋊C4—221no—
1589C22⋊C4—221no—
1590C22⋊C4—221no—
1591C22⋊C4—221no—
1592C22⋊C4—221no—
1593C22⋊C4—221no—
1594C22⋊C4—221no—
1595C22⋊C4—221no—
1596C22⋊C4—221no—
1597C22⋊C4—221no—
1598C22⋊C4—221no—
1599C22⋊C4—221no—
1600C22⋊C4—221no—
1601C22⋊C4—221no—
1602C22⋊C4—221no—
1603C22⋊C4D4×D1111yescharacteristic
1604C22⋊C4D4×D1111yescharacteristic
1605C42—21no—
1606C42—111no—
1607C42—111no—
1608C42—111no—
1609C42—111no—
1610C42—111no—
1611C42—221no—
1612C42—221no—
1613C42—221no—
1614C42—221no—
1615C42—221no—
1616C42—221no—
1617C42C23×D1111yescharacteristic
1618C11#6209311yescharacteristic, complemented, Sylow
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—42no—
1625C23—81no—
1626C23—81no—
1627C23—81no—
1628C23—81no—
1629C23—81no—
1630C23—111no—
1631C23—221no—
1632C23—221no—
1633C23—881no—
1634C23—881no—
1635C23—881no—
1636C23C2×D4×D1111yescharacteristic
1637C23C2×D4×D1111yescharacteristic
1638Q8—21no—
1639Q8—221no—
1640Q8—221no—
1641Q8—221no—
1642Q8—221no—
1643Q8—441no—
1644Q8—442no—
1645Q8—881no—
1646Q8—881no—
1647Q8#6703712yes—
1648D4—21no—
1649D4—21no—
1650D4—21no—
1651D4—21no—
1652D4—21no—
1653D4—21no—
1654D4—21no—
1655D4—21no—
1656D4—21no—
1657D4—21no—
1658D4—41no—
1659D4—42no—
1660D4—42no—
1661D4—42no—
1662D4—81no—
1663D4—81no—
1664D4—81no—
1665D4—81no—
1666D4—81no—
1667D4—81no—
1668D4—81no—
1669D4—81no—
1670D4—81no—
1671D4—221no—
1672D4—221no—
1673D4—221no—
1674D4—221no—
1675D4—442no—
1676D4—441no—
1677D4—441no—
1678D4—442no—
1679D4—442no—
1680D4—881no—
1681D4—881no—
1682D4—881no—
1683D4—881no—
1684D4—881no—
1685D4—881no—
1686D4—881no—
1687D4—881no—
1688D4—881no—
1689D4—881no—
1690D4—881no—
1691D4—881no—
1692D4—881no—
1693D4—881no—
1694D4—881no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—42no—
1703C2×C4—42no—
1704C2×C4—81no—
1705C2×C4—111no—
1706C2×C4—111no—
1707C2×C4—111no—
1708C2×C4—111no—
1709C2×C4—111no—
1710C2×C4—111no—
1711C2×C4—111no—
1712C2×C4—221no—
1713C2×C4—221no—
1714C2×C4—221no—
1715C2×C4—221no—
1716C2×C4—221no—
1717C2×C4—221no—
1718C2×C4—221no—
1719C2×C4—221no—
1720C2×C4—442no—
1721C2×C4—441no—
1722C2×C4—441no—
1723C2×C4—442no—
1724C2×C4—881no—
1725C2×C4—881no—
1726C2×C4—881no—
1727C2×C4—881no—
1728C2×C4—881no—
1729C2×C4—881no—
1730C2×C4—881no—
1731C2×C4—881no—
1732C2×C4—881no—
1733C2×C4—881no—
1734C2×C4—881no—
1735C2×C4—881no—
1736C2×C4—881no—
1737C2×C4C2×D4×D1111yescharacteristic
1738C2×C4C2×D4×D1111yescharacteristic
1739C2×C4C2×D4×D1111yescharacteristic
1740C2×C4C2×D4×D1111yescharacteristic
1741C2×C4C24×D1111yescharacteristic
1742C8—21no—
1743C8—21no—
1744C8—21no—
1745C8—21no—
1746C8—221no—
1747C8—221no—
1748C8—221no—
1749C8—221no—
1750C22—21no—
1751C22—21no—
1752C22—21no—
1753C22—21no—
1754C22—21no—
1755C22—21no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—162no—
1772C22—162no—
1773C22—221no—
1774C22—221no—
1775C22—221no—
1776C22—441no—
1777C22—441no—
1778C22—441no—
1779C22—441no—
1780C22—441no—
1781C22—441no—
1782C22—1762no—
1783C22C22×D4×D1111yescharacteristic
1784C4—21no—
1785C4—21no—
1786C4—21no—
1787C4—22no—
1788C4—21no—
1789C4—41no—
1790C4—41no—
1791C4—221no—
1792C4—221no—
1793C4—221no—
1794C4—221no—
1795C4—221no—
1796C4—221no—
1797C4—221no—
1798C4—441no—
1799C4—441no—
1800C4—441no—
1801C4—441no—
1802C4—441no—
1803C4—441no—
1804C4C2×#6703711yescharacteristic
1805C4#1062345511yescharacteristic
1806C2—41no—
1807C2—41no—
1808C2—81no—
1809C2—81no—
1810C2—81no—
1811C2—81no—
1812C2—81no—
1813C2—441no—
1814C2—881no—
1815C2—881no—
1816C2#1308227611yescharacteristic
1817C2#1308339111yescharacteristic
1818C2#1308339211yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3274C2
socleC22×C11C23×D4
hypercenter#3274D11
hypocenterC11#62093
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3274

Complements

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

NH ≅ G/Ntype
1. #13083130C2semidirect
2. #13082613C2semidirect
3. #13081663C2semidirect
4. #13081661C2semidirect
5. #13081380C2semidirect
6. #13081377C2semidirect
7. #13080875C2semidirect
8. #13080871C2semidirect
9. #13080757C2semidirect
10. #13080750C2semidirect
11. #13080581C2semidirect
12. #13080572C2semidirect
13. #13080230C2semidirect
14. #13080199C2semidirect
15. #13080197C2semidirect
16. #13080150C2semidirect
17. #13080149C2semidirect
18. #13080028C2semidirect
19. #13080023C2semidirect
20. #13079993C2semidirect
21. #13079662C2semidirect
22. #13079659C2semidirect
23. #13079600C2semidirect
24. #13078899C2semidirect
25. #13078894C2semidirect
26. #13078760C2semidirect
27. #13078159C2semidirect
28. #13078152C2semidirect
29. #13078108C2semidirect
30. #13077780C2semidirect
31. C11×#3274C2semidirect
33. C2×C11×AGL(1,ℤ/8)C22semidirect
34. C11×#550C22semidirect
36. #10623365C22semidirect
37. #10623365C22semidirect
38. #10623358C22semidirect
39. #41×Dic11C22semidirect
40. C2×#67004C22semidirect
41. C2×#67003C22semidirect
48. C2×#66969C22semidirect
49. C2×#66967C22semidirect
51. #10623250C22semidirect
53. #10623249C22semidirect
58. #10623150C22semidirect
60. #10623145C22semidirect
64. #10623142C22semidirect
69. #10623127C22semidirect
74. #10623105C22semidirect
75. #10623100C22semidirect
77. #10623096C22semidirect
85. C11×#469C22semidirect
87. C11×#459C22semidirect
89. C11×#449C22semidirect
91. C11×#447C22semidirect
92. C4×C11×SD16C22semidirect
93. C11×#436C22semidirect
94. #10622852C22semidirect
95. #10622851C22semidirect
97. #10622830C22semidirect
99. C2×#66896C22semidirect
101. #10622779C22semidirect
102. #10622779C22semidirect
103. #10622779C22semidirect
104. #10622779C22semidirect
105. #10622779C22semidirect
106. #10622777C22semidirect
108. #10622776C22semidirect
109. SD16×Dic11C22semidirect
111. #10622771C22semidirect
112. #10622771C22semidirect
114. #10622769C22semidirect
115. #10622769C22semidirect
116. #10622767C22semidirect
117. #10622767C22semidirect
118. #10622767C22semidirect
119. #10622766C22semidirect
120. #10622766C22semidirect
121. #10622766C22semidirect
122. #10622766C22semidirect
123. #10622766C22semidirect
124. #10622766C22semidirect
125. #10622766C22semidirect
126. #10622765C22semidirect
127. #10622765C22semidirect
130. #10622763C22semidirect
131. #10622763C22semidirect
132. #10622763C22semidirect
133. #10622763C22semidirect
134. #10622748C22semidirect
135. #10622747C22semidirect
136. #10622746C22semidirect
137. #10622741C22semidirect
138. #10622740C22semidirect
139. #10622733C22semidirect
140. #10622732C22semidirect
141. #10622731C22semidirect
142. #10622688C22semidirect
143. #10622687C22semidirect
146. #10622654C22semidirect
147. #10622653C22semidirect
148. #10622652C22semidirect
149. #10622652C22semidirect
151. #10622650C22semidirect
152. #10622648C22semidirect
154. #10622643C22semidirect
155. #10622641C22semidirect
156. #10622627C22semidirect
157. #10622624C22semidirect
158. #10622622C22semidirect
159. #10622483C22semidirect
160. #10622483C22semidirect
161. #10622475C22semidirect
162. #10622470C22semidirect
163. #10622457C22semidirect
164. #10622452C22semidirect
165. #10622442C22semidirect
166. #10622441C22semidirect
167. #10622430C22semidirect
168. #10622423C22semidirect
169. #10622404C22semidirect
170. #10622402C22semidirect
171. #10622400C22semidirect
172. #10622400C22semidirect
173. #10622399C22semidirect
174. #10622399C22semidirect
175. #10622398C22semidirect
176. #10622393C22semidirect
177. #10622391C22semidirect
179. #10622384C22semidirect
180. D11×#102C22semidirect
181. #10622381C22semidirect
182. #10622379C22semidirect
183. #10622378C22semidirect
184. #10622378C22semidirect
186. #10622375C22semidirect
187. #10622374C22semidirect
188. #10622374C22semidirect
189. #10622372C22semidirect
190. #10622371C22semidirect
191. #10622351C22semidirect
192. #10622350C22semidirect
193. #10622347C22semidirect
194. #10622343C22semidirect
195. #10622341C22semidirect
196. #10622334C22semidirect
197. #10622333C22semidirect
198. #10622332C22semidirect
199. #10622310C22semidirect
200. C4×#4314C22semidirect
201. #10622303C22semidirect
202. #10622292C22semidirect
723. #3274D11semidirect
875. C2×AGL(1,ℤ/8)C2×D11semidirect
891. #550C2×D11semidirect
956. #469C2×D11semidirect
992. #459C2×D11semidirect
1002. #449C2×D11semidirect
1010. #447C2×D11semidirect
1024. C4×SD16C2×D11semidirect
1026. #436C2×D11semidirect
1618. C11#62093semidirect

Maximal subgroups

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

subgroupindex
#130831302
#130826132
#130816632
#130816612
#130813802
#130813772
#130808752
#130808712
#130807572
#130807502
#130805812
#130805722
#130802302
#130801992
#130801972
#130801502
#130801492
#130800282
#130800232
#130799932
#130796622
#130796592
#130796002
#130788992
#130788942
#130787602
#130781592
#130781522
#130781082
#130777802
C11×#32742
#6209311