Finite Group Databasebeta

← #15647530

Subgroups — #15647530

Order 2816.

1850 conjugacy classes of subgroups.

The subgroup lattice has 1788 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082975C211yesmaximal, characteristic, complemented
2#13082714C211yesmaximal, characteristic, complemented
3#13081675C211yesmaximal, characteristic, complemented
4#13081663C211yesmaximal, characteristic, complemented
5#13081454C211yesmaximal, characteristic, complemented
6#13081340C211yesmaximal, characteristic, complemented
7#13080776C211yesmaximal, characteristic, complemented
8#13080763C211yesmaximal, characteristic, complemented
9#13080742C211yesmaximal, characteristic, complemented
10#13080585C211yesmaximal, characteristic, complemented
11#13080561C211yesmaximal, characteristic, complemented
12#13080453C211yesmaximal, characteristic, complemented
13#13080317C211yesmaximal, characteristic, complemented
14#13080194C211yesmaximal, characteristic, complemented
15#13080171C211yesmaximal, characteristic, complemented
16#13080157C211yesmaximal, characteristic, complemented
17#13080114C211yesmaximal, characteristic, complemented
18#13080071C211yesmaximal, characteristic, complemented
19#13080025C211yesmaximal, characteristic, complemented
20#13079935C211yesmaximal, characteristic, complemented
21#13079708C211yesmaximal, characteristic, complemented
22#13079659C211yesmaximal, characteristic, complemented
23#13079651C211yesmaximal, characteristic, complemented
24#13078894C211yesmaximal, characteristic, complemented
25#13078851C211yesmaximal, characteristic, complemented
26#13078760C211yesmaximal, characteristic, complemented
27#13078153C211yesmaximal, characteristic, complemented
28#13078132C211yesmaximal, characteristic, complemented
29#13078067C211yesmaximal, characteristic, complemented
30#13077749C211yesmaximal, characteristic, complemented
31C11×#3287C211yesmaximal, characteristic, complemented
32C2×C11×#135C2211yescharacteristic, complemented
33C2×C11×#135C2211yescharacteristic, complemented
34C11×#550C2211yescharacteristic
35C11×#550C2211yescharacteristic, complemented
36#10623363C2211yescharacteristic
37#10623362C2211yescharacteristic
38#10623362C2211yescharacteristic, complemented
39#10623361C2211yescharacteristic
40#10623360C2211yescharacteristic
41#10623358C2211yescharacteristic, complemented
42#41×Dic11C2211yescharacteristic, complemented
43#10623355C2211yescharacteristic
44C2×#67003C2211yescharacteristic, complemented
45C2×#67002C2211yescharacteristic
46C2×#66968C2211yescharacteristic, complemented
47C2×SD16×D11C2211yescharacteristic
48#10623251—21no—
49#10623250—21no—
50#10623250C2211yescharacteristic, complemented
51#10623249C2211yescharacteristic
52#10623246—21no—
53#10623246C2211yescharacteristic
54#10623244—21no—
55#10623244C2211yescharacteristic, complemented
56#10623151—21no—
57#10623149—21no—
58#10623149C2211yescharacteristic
59#10623147—21no—
60#10623147C2211yescharacteristic, complemented
61#10623144—21no—
62#10623141—21no—
63#10623140C2211yescharacteristic
64#10623134—21no—
65#10623134C2211yescharacteristic
66#10623134C2211yescharacteristic, complemented
67#10623131—21no—
68#10623131C2211yescharacteristic, complemented
69#10623130C2211yescharacteristic
70#10623128—21no—
71#10623127C2211yescharacteristic
72#10623113C2211yescharacteristic
73#10623103C2211yescharacteristic, complemented
74#10623100C2211yescharacteristic, complemented
75#10623099C2211yescharacteristic
76#10623091—21no—
77#10623081C2211yescharacteristic
78#10623072—21no—
79#10623072C2211yescharacteristic, complemented
80#10623071—21no—
81#10623069—21no—
82#10623069C2211yescharacteristic
83C11×#493C2211yescharacteristic, complemented
84C11×#466C2211yescharacteristic
85C11×#466C2211yescharacteristic, complemented
86C11×#460C2211yescharacteristic, complemented
87C11×#460C2211yescharacteristic, complemented
88C11×#449C2211yescharacteristic
89C11×#449C2211yescharacteristic, complemented
90C11×#449C2211yescharacteristic, complemented
91C11×#449C2211yescharacteristic, complemented
92C4×C11×Q16C2211yescharacteristic, complemented
93C8×D4×C11C2211yescharacteristic, complemented
94#10622852C2211yescharacteristic, complemented
95#10622852C2211yescharacteristic, complemented
96#10622852C2211yescharacteristic, complemented
97#10622851C2211yescharacteristic
98#10622846C2211yescharacteristic, complemented
99#10622845C2211yescharacteristic, complemented
100#10622799C2211yescharacteristic, complemented
101#10622798C2211yescharacteristic
102#10622798C2211yescharacteristic, complemented
103#10622795C2211yescharacteristic, complemented
104#10622787C2211yescharacteristic, complemented
105#10622784C2211yescharacteristic, complemented
106#10622781C2211yescharacteristic
107#10622780C2211yescharacteristic, complemented
108#10622779C2211yescharacteristic, complemented
109#10622778C2211yescharacteristic
110#10622778C2211yescharacteristic, complemented
111#10622778C2211yescharacteristic, complemented
112#10622777C2211yescharacteristic, complemented
113#10622776C2211yescharacteristic
114#10622776C2211yescharacteristic
115#10622776C2211yescharacteristic, complemented
116#10622775C2211yescharacteristic, complemented
117SD16×Dic11C2211yescharacteristic, complemented
118#10622771C2211yescharacteristic, complemented
119#10622771C2211yescharacteristic, complemented
120#10622769C2211yescharacteristic
121#10622769C2211yescharacteristic
122#10622767C2211yescharacteristic
123#10622767C2211yescharacteristic, complemented
124#10622766C2211yescharacteristic, complemented
125#10622766C2211yescharacteristic, complemented
126#10622766C2211yescharacteristic, complemented
127#10622766C2211yescharacteristic, complemented
128#10622765C2211yescharacteristic, complemented
129#10622765C2211yescharacteristic, complemented
130#10622763C2211yescharacteristic
131#10622763C2211yescharacteristic
132#10622763C2211yescharacteristic
133#10622763C2211yescharacteristic, complemented
134#10622729C2211yescharacteristic, complemented
135#10622727C2211yescharacteristic
136#10622726C2211yescharacteristic, complemented
137C2×#66885C2211yescharacteristic
138#10622724C2211yescharacteristic
139C8×C22⋊D11C2211yescharacteristic, complemented
140#10622715C2211yescharacteristic, complemented
141C2×Dic11⋊C8C2211yescharacteristic, complemented
142#10622688C2211yescharacteristic, complemented
143#10622687C2211yescharacteristic
144#10622685C2211yescharacteristic, complemented
145#10622684C2211yescharacteristic, complemented
146#10622655C2211yescharacteristic
147#10622655C2211yescharacteristic, complemented
148#10622654C2211yescharacteristic, complemented
149#10622651C2211yescharacteristic
150#10622650C2211yescharacteristic, complemented
151#10622649C2211yescharacteristic
152#10622648C2211yescharacteristic, complemented
153#10622647C2211yescharacteristic
154#10622643C2211yescharacteristic, complemented
155#10622641C2211yescharacteristic
156#10622639C2211yescharacteristic, complemented
157#10622635C2211yescharacteristic, complemented
158#10622624C2211yescharacteristic, complemented
159#10622504C2211yescharacteristic
160#10622498C2211yescharacteristic
161#10622488C2211yescharacteristic, complemented
162#10622488C2211yescharacteristic, complemented
163#10622460C2211yescharacteristic, complemented
164#10622458C2211yescharacteristic
165#10622452C2211yescharacteristic, complemented
166#10622441C2211yescharacteristic, complemented
167#10622430C2211yescharacteristic
168#10622428C2211yescharacteristic, complemented
169#10622419C2211yescharacteristic
170#10622411C2211yescharacteristic, complemented
171#10622410C2211yescharacteristic, complemented
172#10622408C2211yescharacteristic
173#10622404C2211yescharacteristic, complemented
174#10622402C2211yescharacteristic, complemented
175#10622400C2211yescharacteristic
176#10622398C2211yescharacteristic
177#10622395C2211yescharacteristic
178#10622388C2211yescharacteristic
179#10622385C2211yescharacteristic, complemented
180#10622383C2211yescharacteristic
181#10622380C2211yescharacteristic, complemented
182#10622380C2211yescharacteristic, complemented
183#10622377C2211yescharacteristic
184#10622376C2211yescharacteristic, complemented
185#10622375C2211yescharacteristic
186#10622374C2211yescharacteristic, complemented
187#10622373C2211yescharacteristic, complemented
188#10622372C2211yescharacteristic, complemented
189#10622372C2211yescharacteristic, complemented
190#10622371C2211yescharacteristic, complemented
191#10622350C2211yescharacteristic
192#10622346C2211yescharacteristic, complemented
193#10622344C2211yescharacteristic
194#10622343C2211yescharacteristic, complemented
195#10622341C2211yescharacteristic
196#10622334C2211yescharacteristic, complemented
197#10622333C2211yescharacteristic, complemented
198#10622332C2211yescharacteristic, complemented
199#10622310C2211yescharacteristic
200C4×#4314C2211yescharacteristic, complemented
201#10622303C2211yescharacteristic, complemented
202#10622292C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C2×C11×#41C2311yescharacteristic
205C2×C11×#41C2311yescharacteristic
206C2×C11×#41C2311yescharacteristic
207C2×Q8×D11C2311yescharacteristic
208C2×#4341—21no—
209C2×#4341—21no—
210C2×#4341C2311yescharacteristic
211C2×D4×D11—21no—
212C2×D4×D11C2311yescharacteristic
213C2×#4339C2311yescharacteristic
214C22×D44C2311yescharacteristic
215C11×#135—42no—
216C11×#135—42no—
217C2×C11×Q16C2311yescharacteristic
218C2×C11×SD16C2311yescharacteristic
219C2×C11×SD16C2311yescharacteristic
220C2×C11×SD16C2311yescharacteristic
221C2×C11×SD16C2311yescharacteristic
222C2×C11×D8C2311yescharacteristic
223C2×C11×D8C2311yescharacteristic
224C2×C11×D8C2311yescharacteristic
225C2×C11×D8C2311yescharacteristic
226C22×C8×C11C2311yescharacteristic
227C22×C8×C11C2311yescharacteristic
228C11×#127—21no—
229C11×#127—21no—
230C11×#127C2311yescharacteristic
231C11×#127C2311yescharacteristic
232C11×#121—21no—
233C11×#121—21no—
234C11×#121—21no—
235C11×#121—21no—
236C11×#121C2311yescharacteristic
237C11×#121C2311yescharacteristic
238C11×#121C2311yescharacteristic
239C11×#121C2311yescharacteristic
240C4×Q8×C11C2311yescharacteristic
241C4×Q8×C11C2311yescharacteristic
242C4×D4×C11—21no—
243C4×D4×C11—21no—
244C4×D4×C11C2311yescharacteristic
245#67003—42no—
246#67002—42no—
247#67000C2311yescharacteristic
248#67000C2311yescharacteristic
249#66999C2311yescharacteristic
250Q8×Dic11C2311yescharacteristic
251Q8×Dic11C2311yescharacteristic
252Q8×Dic11C2311yescharacteristic
253#66997C2311yescharacteristic
254C2×#4326C2311yescharacteristic
255C2×#4326C2311yescharacteristic
256C2×#4325C2311yescharacteristic
257C2×#4325C2311yescharacteristic
258#66993—21no—
259#66993C2311yescharacteristic
260#66993C2311yescharacteristic
261#66993C2311yescharacteristic
262#66992—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#66992—21no—
274#66992—21no—
275#66992—21no—
276#66992D411yescharacteristic
277#66991—21no—
278#66991—21no—
279#66991—21no—
280#66991C2311yescharacteristic
281#66991C2311yescharacteristic
282#66990—21no—
283#66990—21no—
284#66990—21no—
285#66990—21no—
286#66990—21no—
287#66990—21no—
288#66990—21no—
289#66989—21no—
290#66989—21no—
291#66989—21no—
292#66989—21no—
293#66989—21no—
294#66989—21no—
295#66989C2311yescharacteristic
296#66989C2311yescharacteristic
297#66989C2311yescharacteristic
298#66988—21no—
299#66988—21no—
300#66988—21no—
301#66988—21no—
302#66988—21no—
303#66988—21no—
304#66988—21no—
305#66988—21no—
306#66988—21no—
307#66988D411yescharacteristic
308D4×Dic11—21no—
309D4×Dic11—21no—
310D4×Dic11—21no—
311D4×Dic11—21no—
312D4×Dic11—21no—
313D4×Dic11—21no—
314D4×Dic11—21no—
315D4×Dic11C2311yescharacteristic
316D4×Dic11C2311yescharacteristic
317D4×Dic11C2311yescharacteristic
318D4×Dic11C2311yescharacteristic
319D4×Dic11C2311yescharacteristic
320D4×Dic11C2311yescharacteristic
321C2×#4324C2311yescharacteristic
322C2×#4324C2311yescharacteristic
323C2×#4324C2311yescharacteristic
324C2×#4324C2311yescharacteristic
325C2×#4323C2311yescharacteristic
326C2×#4323C2311yescharacteristic
327C2×#4323C2311yescharacteristic
328C2×#4323C2311yescharacteristic
329#66983—21no—
330#66983—21no—
331#66983C2311yescharacteristic
332#66982—21no—
333#66982—21no—
334C4×C22⋊D11—21no—
335C4×C22⋊D11—21no—
336C4×C22⋊D11—21no—
337C4×C22⋊D11—21no—
338C4×C22⋊D11C2311yescharacteristic
339C4×C22⋊D11C2311yescharacteristic
340C2×(C2×D11)⋊C4—21no—
341#66979—21no—
342#66979—21no—
343#66979C2311yescharacteristic
344#66979C2311yescharacteristic
345C2×C4⋊Dic11—21no—
346C2×C4⋊Dic11C2311yescharacteristic
347#66977—21no—
348#66977—21no—
349#66977C2311yescharacteristic
350#66977C2311yescharacteristic
351#66977C2311yescharacteristic
352C2×Dic11⋊C4—21no—
353C2×C4×Dic11—21no—
354C2×C4×Dic11C2311yescharacteristic
355C2×#4318C2311yescharacteristic
356C22×C11⋊C8C2311yescharacteristic
357#66968—42no—
358SD16×D11—42no—
359C2×Dic44C2311yescharacteristic
360C2×#4314C2311yescharacteristic
361C2×#4314C2311yescharacteristic
362C2×#4313C2311yescharacteristic
363C2×C8×D11C2311yescharacteristic
364#66951—21no—
365#66951D411yescharacteristic
366#66949—21no—
367#66949—21no—
368#66948C2311yescharacteristic
369#66947—21no—
370#66947—21no—
371#66946C2311yescharacteristic
372#66945—21no—
373#66945C2311yescharacteristic
374#66943—21no—
375#66943C2311yescharacteristic
376#66942—21no—
377#66942D411yescharacteristic
378#66941—21no—
379#66941C2311yescharacteristic
380#66941C2311yescharacteristic
381#66940—21no—
382#66940C2311yescharacteristic
383#66940C2311yescharacteristic
384#66939—21no—
385#66939D411yescharacteristic
386#66938—21no—
387#66938—21no—
388#66938D411yescharacteristic
389#66937—21no—
390#66937—21no—
391#66937—21no—
392#66935—21no—
393(C22⋊D11)⋊C4—21no—
394(C22⋊D11)⋊C4—21no—
395C22⋊C4×D11—21no—
396#66932—21no—
397#66932—21no—
398#66932—21no—
399#66932—21no—
400#66932—21no—
401#66932D411yescharacteristic
402#66931—21no—
403#66931—21no—
404#66931D411yescharacteristic
405#66930—21no—
406#66930—21no—
407#66930—21no—
408#66929—21no—
409#66929—21no—
410#66928—21no—
411#66928C2311yescharacteristic
412C4×D44C2311yescharacteristic
413#66925—21no—
414#66925—21no—
415#66925C2311yescharacteristic
416#66923—21no—
417#66923C2311yescharacteristic
418C4×Dic22—21no—
419C4×Dic22—21no—
420C4×Dic22C2311yescharacteristic
421C4×Dic22C2311yescharacteristic
422C11×#107C2311yescharacteristic
423C11×C4⋊C8C2311yescharacteristic
424C11×#103C2311yescharacteristic
425C11×#103C2311yescharacteristic
426C11×#102C2311yescharacteristic
427C11×#102C2311yescharacteristic
428C11×#102C2311yescharacteristic
429C11×#102C2311yescharacteristic
430C11×C22⋊C8C2311yescharacteristic
431C11×C22⋊C8C2311yescharacteristic
432C4×C8×C11C2311yescharacteristic
433#66899C2311yescharacteristic
434#66899C2311yescharacteristic
435#66899C2311yescharacteristic
436#66899C2311yescharacteristic
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#66885C2311yescharacteristic
452#66885C2311yescharacteristic
453(C2×D11)⋊C8C2311yescharacteristic
454(C2×D11)⋊C8C2311yescharacteristic
455#66882C2311yescharacteristic
456#66881C2311yescharacteristic
457#66881C2311yescharacteristic
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#66871C2311yescharacteristic
481#66871C2311yescharacteristic
482C4⋊(C11⋊C8)C2311yescharacteristic
483#66867C2311yescharacteristic
484#62026—111nomaximal, Sylow
485C23×D11—21no—
486C23×D11—21no—
487C11×#41—22no—
488C11×#41—22no—
489C11×#41—41no—
490C11×#41—41no—
491C11×#41—41no—
492C11×#41—41no—
493C11×#41—41no—
494C11×#41—41no—
495C2×Q8×C11C2411yescharacteristic
496C2×Q8×C11C2411yescharacteristic
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—21no—
506C2×D4×C11—21no—
507C2×D4×C11—21no—
508C2×D4×C11—21no—
509C2×D4×C11C2×D411yescharacteristic
510C2×D4×C11C2411yescharacteristic
511C2×D4×C11C2411yescharacteristic
512C2×D4×C11C2411yescharacteristic
513C2×D4×C11C2411yescharacteristic
514C22×C4×C11—21no—
515C22×C4×C11—21no—
516C22×C4×C11—21no—
517C22×C4×C11—21no—
518C22×C4×C11C2411yescharacteristic
519C22×C4×C11C2411yescharacteristic
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—21no—
531C2×C22⋊D11—21no—
532C2×C22⋊D11C2×D411yescharacteristic
533C2×C22⋊D11C2×D411yescharacteristic
534C22×Dic11—21no—
535C22×Dic11—21no—
536C22×Dic11—21no—
537C22×Dic11—21no—
538C22×Dic11—21no—
539C22×Dic11—21no—
540C22×Dic11—21no—
541C22×Dic11—21no—
542C22×Dic11C2×D411yescharacteristic
543C22×Dic11C2×D411yescharacteristic
544Q8×D11—22no—
545Q8×D11—41no—
546#4341—41no—
547#4341—41no—
548#4341—82no—
549#4341—82no—
550D4×D11—41no—
551D4×D11—41no—
552D4×D11—82no—
553#4339—41no—
554#4339—41no—
555C2×D44—21no—
556C2×D44—21no—
557C2×D44—41no—
558C2×D44—41no—
559C2×D44C2411yescharacteristic
560C2×D44C2411yescharacteristic
561C2×C4×D11—21no—
562C2×C4×D11—21no—
563C2×C4×D11—21no—
564C2×C4×D11—21no—
565C2×C4×D11C2411yescharacteristic
566C2×Dic22—21no—
567C2×Dic22—21no—
568C2×Dic22—21no—
569C2×Dic22C2×D411yescharacteristic
570C2×Dic22C2411yescharacteristic
571C2×Dic22C2411yescharacteristic
572C11×Q16—22no—
573C11×SD16—22no—
574C11×SD16—22no—
575C11×SD16—41no—
576C11×SD16—41no—
577C11×D8—41no—
578C11×D8—41no—
579C11×D8—41no—
580C11×D8—41no—
581C2×C8×C11—41no—
582C2×C8×C11—41no—
583C2×C8×C11C2411yescharacteristic
584C2×C8×C11C2411yescharacteristic
585C2×C8×C11C2411yescharacteristic
586C2×C8×C11C2411yescharacteristic
587C11×C4⋊C4—21no—
588C11×C4⋊C4—21no—
589C11×C4⋊C4C2×D411yescharacteristic
590C11×C4⋊C4C2411yescharacteristic
591C11×C4⋊C4C2411yescharacteristic
592C11×C22⋊C4—21no—
593C11×C22⋊C4—21no—
594C11×C22⋊C4—21no—
595C11×C22⋊C4—21no—
596C11×C22⋊C4C2×D411yescharacteristic
597C11×C22⋊C4C2×D411yescharacteristic
598C42×C11—21no—
599C42×C11—21no—
600C42×C11C2411yescharacteristic
601C22⋊Dic11—21no—
602C22⋊Dic11—21no—
603C22⋊Dic11—21no—
604C22⋊Dic11—21no—
605C22⋊Dic11—21no—
606C22⋊Dic11—21no—
607C22⋊Dic11—21no—
608C22⋊Dic11—21no—
609C22⋊Dic11—21no—
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⋊Dic11C2×D411yescharacteristic
620C22⋊Dic11C2×D411yescharacteristic
621C22⋊Dic11C2×D411yescharacteristic
622C22⋊Dic11C2×D411yescharacteristic
623#4326—22no—
624#4326—41no—
625#4325—22no—
626#4325—22no—
627#4324—41no—
628#4324—41no—
629#4324—41no—
630#4324—41no—
631#4323—41no—
632#4323—41no—
633#4323—41no—
634#4323—41no—
635(C2×D11)⋊C4—21no—
636(C2×D11)⋊C4—21no—
637(C2×D11)⋊C4—21no—
638(C2×D11)⋊C4—21no—
639(C2×D11)⋊C4—21no—
640(C2×D11)⋊C4—21no—
641(C2×D11)⋊C4—21no—
642(C2×D11)⋊C4—21no—
643(C2×D11)⋊C4—21no—
644(C2×D11)⋊C4—21no—
645(C2×D11)⋊C4—21no—
646(C2×D11)⋊C4—21no—
647(C2×D11)⋊C4C2×D411yescharacteristic
648(C2×D11)⋊C4C2×D411yescharacteristic
649(C2×D11)⋊C4C2×D411yescharacteristic
650(C2×D11)⋊C4C2×D411yescharacteristic
651C4⋊Dic11—21no—
652C4⋊Dic11—21no—
653C4⋊Dic11—21no—
654C4⋊Dic11—21no—
655C4⋊Dic11—21no—
656C4⋊Dic11C2×D411yescharacteristic
657C4⋊Dic11C2×D411yescharacteristic
658C4⋊Dic11C2×D411yescharacteristic
659C4⋊Dic11C2411yescharacteristic
660C4⋊Dic11C2411yescharacteristic
661C4⋊Dic11C2411yescharacteristic
662C4⋊Dic11C2411yescharacteristic
663Dic11⋊C4—21no—
664Dic11⋊C4—21no—
665Dic11⋊C4—21no—
666Dic11⋊C4—21no—
667Dic11⋊C4—21no—
668Dic11⋊C4—21no—
669Dic11⋊C4—21no—
670Dic11⋊C4—21no—
671Dic11⋊C4—21no—
672Dic11⋊C4—21no—
673Dic11⋊C4—21no—
674Dic11⋊C4—21no—
675Dic11⋊C4—21no—
676Dic11⋊C4—21no—
677Dic11⋊C4C2×D411yescharacteristic
678Dic11⋊C4C2×D411yescharacteristic
679Dic11⋊C4C2×D411yescharacteristic
680Dic11⋊C4C2×D411yescharacteristic
681Dic11⋊C4C2×D411yescharacteristic
682Dic11⋊C4C2×D411yescharacteristic
683C4×Dic11—21no—
684C4×Dic11—21no—
685C4×Dic11—21no—
686C4×Dic11—21no—
687C4×Dic11—21no—
688C4×Dic11—21no—
689C4×Dic11—21no—
690C4×Dic11—21no—
691C4×Dic11C2×D411yescharacteristic
692C4×Dic11C2×D411yescharacteristic
693C4×Dic11C2411yescharacteristic
694C4×Dic11C2411yescharacteristic
695C4×Dic11C2411yescharacteristic
696#4318—41no—
697C2×C11⋊C8—41no—
698C2×C11⋊C8C2411yescharacteristic
699C2×C11⋊C8C2411yescharacteristic
700C2×C11⋊C8C2411yescharacteristic
701C2×C11⋊C8C2411yescharacteristic
702Dic44—41no—
703#4314—41no—
704#4314—41no—
705#4313—41no—
706C8×D11—41no—
707#3546—111no—
708#3524—111no—
709#3401—111no—
710#3399—111no—
711#3377—111no—
712#3368—111no—
713#3319—111no—
714#3318—111no—
715#3317—111no—
716#3307—111no—
717#3305—111no—
718#3296—111no—
719#3287D1111yescharacteristic, complemented
720#3282—111no—
721#3271—111no—
722#3269—111no—
723#3268—111no—
724#3265—111no—
725#3262—111no—
726#3257—111no—
727#3247—111no—
728#3224—111no—
729#3220—111no—
730#3219—111no—
731#3125—111no—
732#3121—111no—
733#3115—111no—
734#3045—111no—
735#3043—111no—
736#3035—111no—
737#2992—111no—
738C23×C11—21no—
739C23×C11—21no—
740C23×C11—21no—
741C23×C11—21no—
742C23×C11C22×D411yescharacteristic
743C23×C11C22×D411yescharacteristic
744C22×D11—21no—
745C22×D11—21no—
746C22×D11—81no—
747C22×D11—81no—
748C22×D11—81no—
749C22×D11—81no—
750C22×D11—81no—
751C22×D11—81no—
752C22×D11C22×D411yescharacteristic
753Q8×C11—21no—
754Q8×C11—21no—
755Q8×C11—21no—
756Q8×C11H(5,𝔽2)12yes—
757D4×C11—21no—
758D4×C11—21no—
759D4×C11—21no—
760D4×C11—21no—
761D4×C11—21no—
762D4×C11—21no—
763D4×C11—21no—
764D4×C11—21no—
765D4×C11—41no—
766D4×C11—42no—
767D4×C11—42no—
768D4×C11—81no—
769D4×C11—81no—
770D4×C11—81no—
771D4×C11—81no—
772D4×C11—81no—
773D4×C11—81no—
774D4×C11—81no—
775D4×C11—81no—
776D4×C11—81no—
777D4×C11—81no—
778C2×C4×C11—21no—
779C2×C4×C11—21no—
780C2×C4×C11—21no—
781C2×C4×C11—21no—
782C2×C4×C11—21no—
783C2×C4×C11—21no—
784C2×C4×C11—21no—
785C2×C4×C11—21no—
786C2×C4×C11—42no—
787C2×C4×C11—42no—
788C2×C4×C11—81no—
789C2×C4×C11—81no—
790C2×C4×C11C22×D411yescharacteristic
791C2×C4×C11C22×D411yescharacteristic
792C2×C4×C11C22×D411yescharacteristic
793C2×C4×C11C22×D411yescharacteristic
794C2×C4×C11C2511yescharacteristic
795C22⋊D11—41no—
796C22⋊D11—41no—
797C22⋊D11—42no—
798C22⋊D11—81no—
799C22⋊D11—81no—
800C22⋊D11—81no—
801C22⋊D11—81no—
802C22⋊D11—81no—
803C22⋊D11—81no—
804C22⋊D11—81no—
805C22⋊D11—81no—
806C22⋊D11—81no—
807C22⋊D11—81no—
808C22⋊D11—81no—
809C2×Dic11—21no—
810C2×Dic11—21no—
811C2×Dic11—21no—
812C2×Dic11—21no—
813C2×Dic11—21no—
814C2×Dic11—21no—
815C2×Dic11—41no—
816C2×Dic11—41no—
817C2×Dic11—42no—
818C2×Dic11—81no—
819C2×Dic11—81no—
820C2×Dic11—81no—
821C2×Dic11—81no—
822C2×Dic11—81no—
823C2×Dic11—81no—
824C2×Dic11—81no—
825C2×Dic11C22×D411yescharacteristic
826C2×Dic11C22×D411yescharacteristic
827C2×Dic11C22×D411yescharacteristic
828C2×Dic11C22×D411yescharacteristic
829C2×Dic11C22×D411yescharacteristic
830C2×Dic11C22×D411yescharacteristic
831C2×Dic11C22×D411yescharacteristic
832D44—21no—
833D44—21no—
834D44—21no—
835D44—21no—
836D44—81no—
837D44—81no—
838C4×D11—21no—
839C4×D11—21no—
840C4×D11—42no—
841C4×D11—42no—
842C4×D11—81no—
843C4×D11—81no—
844Dic22—21no—
845Dic22—21no—
846Dic22—21no—
847Dic22—21no—
848Dic22—41no—
849Dic22—42no—
850Dic22—81no—
851Dic22—81no—
852C8×C11—21no—
853C8×C11—21no—
854C8×C11—21no—
855C8×C11—21no—
856C11⋊C8—21no—
857C11⋊C8—21no—
858C11⋊C8—21no—
859C11⋊C8—21no—
860C2×#137—111no—
861C2×AGL(1,ℤ/8)—111no—
862C2×#135—111no—
863C2×#135C2×D1111yescharacteristic, complemented
864C2×#135C2×D1111yescharacteristic, complemented
865C22×SD16—111no—
866#560—221no—
867#560—221no—
868#559—111no—
869#559—221no—
870#557—111no—
871#556—111no—
872#555—111no—
873#555—221no—
874#553—111no—
875#553—221no—
876#553—221no—
877#552—111no—
878#552—221no—
879#550—111no—
880#550—111no—
881#550C2×D1111yescharacteristic
882#550C2×D1111yescharacteristic, complemented
883#548—111no—
884#548—111no—
885#547—111no—
886#546—111no—
887#546—111no—
888#546—221no—
889D42—111no—
890#542—111no—
891#542—111no—
892#542—111no—
893#542—221no—
894#540—111no—
895#540—221no—
896#538—221no—
897#538—221no—
898#537—221no—
899#535—111no—
900#535—111no—
901#535—221no—
902#532—111no—
903#532—111no—
904#529—111no—
905#529—111no—
906#529—221no—
907#529—221no—
908#520—111no—
909#519—111no—
910C4×#41—111no—
911#497—111no—
912#496—111no—
913#496—111no—
914#496—111no—
915#495—111no—
916#493C2×D1111yescharacteristic, complemented
917#491—111no—
918#490—111no—
919#490—111no—
920#489—111no—
921#488—111no—
922#486—111no—
923#485—111no—
924#483—111no—
925#482—111no—
926#482—111no—
927#482—111no—
928#481—111no—
929#479—111no—
930#478—111no—
931#478—111no—
932#478—111no—
933#477—111no—
934#477—111no—
935#476—111no—
936#475—111no—
937#474—111no—
938#474—111no—
939#469—111no—
940#468—111no—
941#468—111no—
942#468—111no—
943#467—111no—
944#466—111no—
945#466—111no—
946#466C2×D1111yescharacteristic
947#466C2×D1111yescharacteristic, complemented
948#465—111no—
949#465—111no—
950#465—111no—
951#464—111no—
952#464—111no—
953#464—111no—
954#464—111no—
955#464—111no—
956#464—111no—
957#464—111no—
958#464—111no—
959#463—111no—
960#463—111no—
961#463—111no—
962#463—111no—
963#463—111no—
964#463—111no—
965#463—111no—
966#463—111no—
967#462—111no—
968#461—111no—
969#460—111no—
970#460—111no—
971#460—111no—
972#460—111no—
973#460—111no—
974#460C2×D1111yescharacteristic, complemented
975#460C2×D1111yescharacteristic, complemented
976#459—111no—
977#459—111no—
978#459—111no—
979#459—111no—
980#459—111no—
981#452—111no—
982#452—111no—
983#452—111no—
984#452—111no—
985#451—111no—
986#450—111no—
987#449—111no—
988#449—111no—
989#449—111no—
990#449—111no—
991#449C2×D1111yescharacteristic
992#449C2×D1111yescharacteristic, complemented
993#449C2×D1111yescharacteristic, complemented
994#449C2×D1111yescharacteristic, complemented
995#448—111no—
996#447—111no—
997#447—111no—
998#447—111no—
999#446—111no—
1000#446—111no—
1001#442—111no—
1002#442—111no—
1003#442—111no—
1004#441—111no—
1005#441—111no—
1006#440—111no—
1007#440—111no—
1008#440—111no—
1009C4×Q16C2×D1111yescharacteristic, complemented
1010C4×SD16—111no—
1011C4×SD16—111no—
1012C4×SD16—111no—
1013#435—111no—
1014#435—111no—
1015#435—111no—
1016#435—111no—
1017C8×D4—111no—
1018C8×D4C2×D1111yescharacteristic, complemented
1019#433—111no—
1020#433—111no—
1021#432—111no—
1022#424—111no—
1023#424—111no—
1024C2×C4⋊C8—111no—
1025#418—111no—
1026#417—111no—
1027#416—111no—
1028#416—111no—
1029#416—111no—
1030C2×#102—111no—
1031C22×C11—21no—
1032C22×C11—21no—
1033C22×C11—21no—
1034C22×C11—21no—
1035C22×C11—21no—
1036C22×C11—21no—
1037C22×C11—41no—
1038C22×C11—41no—
1039C22×C11—41no—
1040C22×C11—41no—
1041C22×C11—41no—
1042C22×C11—41no—
1043C22×C11—41no—
1044C22×C11—41no—
1045C22×C11—41no—
1046C22×C11—41no—
1047C22×C11—41no—
1048C22×C11—41no—
1049C22×C11C23×D411yescharacteristic
1050C2×D11—21no—
1051C2×D11—21no—
1052C2×D11—21no—
1053C2×D11—41no—
1054C2×D11—41no—
1055C2×D11—41no—
1056C2×D11—41no—
1057C2×D11—41no—
1058C2×D11—41no—
1059C2×D11—162no—
1060C2×D11—162no—
1061C4×C11—21no—
1062C4×C11—21no—
1063C4×C11—21no—
1064C4×C11—21no—
1065C4×C11—22no—
1066C4×C11—41no—
1067C4×C11—41no—
1068C4×C11—41no—
1069C4×C11C2×H(5,𝔽2)11yescharacteristic
1070C4×C11#58511yescharacteristic
1071Dic11—21no—
1072Dic11—21no—
1073Dic11—21no—
1074Dic11—21no—
1075Dic11—21no—
1076Dic11—21no—
1077Dic11—21no—
1078Dic11—41no—
1079Dic11—41no—
1080Dic11—41no—
1081Dic11—41no—
1082Dic11—41no—
1083Dic11—41no—
1084C2×#41—111no—
1085C2×#41—111no—
1086C2×#41—221no—
1087C2×#41—221no—
1088C2×#41C22×D1111yescharacteristic
1089C2×#41C22×D1111yescharacteristic
1090C2×#41C22×D1111yescharacteristic
1091C2×#41C22×D1111yescharacteristic
1092C22×Q8—111no—
1093C22×D4—111no—
1094C22×D4—111no—
1095C22×D4—221no—
1096#137—442no—
1097AGL(1,ℤ/8)—442no—
1098#135—42no—
1099#135—42no—
1100#135—442no—
1101C2×Q16—111no—
1102C2×Q16—111no—
1103C2×Q16—111no—
1104C2×Q16C22×D1111yescharacteristic
1105C2×SD16—111no—
1106C2×SD16—111no—
1107C2×SD16—111no—
1108C2×SD16—111no—
1109C2×SD16—111no—
1110C2×SD16—111no—
1111C2×SD16—111no—
1112C2×SD16—111no—
1113C2×SD16—442no—
1114C2×SD16C22×D1111yescharacteristic
1115C2×SD16C22×D1111yescharacteristic
1116C2×SD16C22×D1111yescharacteristic
1117C2×SD16C22×D1111yescharacteristic
1118C2×D8—111no—
1119C2×D8—111no—
1120C2×D8—111no—
1121C2×D8—111no—
1122C2×D8C22×D1111yescharacteristic
1123C2×D8C22×D1111yescharacteristic
1124C2×D8C22×D1111yescharacteristic
1125C2×D8C22×D1111yescharacteristic
1126C2×M16—111no—
1127C2×M16—111no—
1128C22×C8—111no—
1129C22×C8—111no—
1130C22×C8C22×D1111yescharacteristic
1131C22×C8C22×D1111yescharacteristic
1132C4⋊Q8—111no—
1133C4⋊Q8—111no—
1134C4⋊Q8—111no—
1135C4⋊Q8—221no—
1136#127—21no—
1137#127—21no—
1138#127—111no—
1139#127—111no—
1140#127—111no—
1141#127—221no—
1142#127C22×D1111yescharacteristic
1143#127C22×D1111yescharacteristic
1144#126—111no—
1145#126—111no—
1146#126—221no—
1147#126—221no—
1148#126—221no—
1149#126—221no—
1150#126—221no—
1151#126—221no—
1152#126—221no—
1153#126—221no—
1154#125—111no—
1155#125—111no—
1156#125—111no—
1157#125—221no—
1158#125—221no—
1159#125—221no—
1160#124—111no—
1161#124—111no—
1162#124—111no—
1163#124—111no—
1164#124—111no—
1165#124—111no—
1166#124—111no—
1167#124—221no—
1168#124—221no—
1169#124—221no—
1170#124—221no—
1171#124—221no—
1172#124—221no—
1173#124—221no—
1174#124—221no—
1175#124—221no—
1176#123—111no—
1177#123—111no—
1178#123—221no—
1179#123—221no—
1180#123—221no—
1181#123—221no—
1182#123—221no—
1183#123—221no—
1184#123—221no—
1185#123—221no—
1186#123—221no—
1187#123—221no—
1188#123—221no—
1189#123—221no—
1190#123—221no—
1191#123—221no—
1192C22⋊Q8—111no—
1193C22⋊Q8—111no—
1194C22⋊Q8—111no—
1195C22⋊Q8—111no—
1196C22⋊Q8—111no—
1197C22⋊Q8—221no—
1198C22⋊Q8—221no—
1199C22⋊Q8—221no—
1200C22⋊Q8—221no—
1201C22⋊Q8—221no—
1202C22⋊Q8—221no—
1203#121—21no—
1204#121—21no—
1205#121—21no—
1206#121—21no—
1207#121—111no—
1208#121—111no—
1209#121—111no—
1210#121—111no—
1211#121—111no—
1212#121—221no—
1213#121—221no—
1214#121—221no—
1215#121—221no—
1216#121—221no—
1217#121—221no—
1218#121—221no—
1219#121—221no—
1220#121—221no—
1221#121—221no—
1222#121—221no—
1223#121—221no—
1224#121—221no—
1225#121—221no—
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#121C22×D1111yescharacteristic
1235#121C22×D1111yescharacteristic
1236#121C22×D1111yescharacteristic
1237#121C22×D1111yescharacteristic
1238#120—221no—
1239#120—221no—
1240#120—221no—
1241#120—221no—
1242#120—221no—
1243#120—221no—
1244#120—221no—
1245#120—221no—
1246C4×Q8—111no—
1247C4×Q8—111no—
1248C4×Q8—111no—
1249C4×Q8—111no—
1250C4×Q8—111no—
1251C4×Q8—111no—
1252C4×Q8—111no—
1253C4×Q8—221no—
1254C4×Q8—221no—
1255C4×Q8—221no—
1256C4×Q8C22×D1111yescharacteristic
1257C4×Q8C22×D1111yescharacteristic
1258C4×D4—21no—
1259C4×D4—21no—
1260C4×D4—111no—
1261C4×D4—111no—
1262C4×D4—111no—
1263C4×D4—111no—
1264C4×D4—111no—
1265C4×D4—111no—
1266C4×D4—111no—
1267C4×D4—111no—
1268C4×D4—111no—
1269C4×D4—111no—
1270C4×D4—221no—
1271C4×D4—221no—
1272C4×D4—221no—
1273C4×D4—221no—
1274C4×D4—221no—
1275C4×D4—221no—
1276C4×D4—221no—
1277C4×D4—221no—
1278C4×D4—221no—
1279C4×D4—221no—
1280C4×D4—221no—
1281C4×D4—221no—
1282C4×D4—221no—
1283C4×D4C22×D1111yescharacteristic
1284#117—111no—
1285#117—111no—
1286#117—111no—
1287#117—111no—
1288#117—221no—
1289#117—221no—
1290#117—221no—
1291#117—221no—
1292#117—221no—
1293#117—221no—
1294#117—221no—
1295#117—221no—
1296C2×C4⋊C4—111no—
1297C2×C4⋊C4—221no—
1298C2×C4⋊C4—221no—
1299C2×C22⋊C4—221no—
1300C2×C22⋊C4—221no—
1301C2×C42—111no—
1302C2×C42—221no—
1303#107—111no—
1304#107—111no—
1305#107—111no—
1306#107C22×D1111yescharacteristic
1307#106—111no—
1308#106—111no—
1309#106—111no—
1310#106—111no—
1311C4⋊C8—111no—
1312C4⋊C8—111no—
1313C4⋊C8—111no—
1314C4⋊C8—111no—
1315C4⋊C8—111no—
1316C4⋊C8—111no—
1317C4⋊C8—111no—
1318C4⋊C8—111no—
1319C4⋊C8—111no—
1320C4⋊C8C22×D1111yescharacteristic
1321#103—111no—
1322#103—111no—
1323#103—111no—
1324#103—111no—
1325#103—111no—
1326#103—111no—
1327#103—111no—
1328#103—111no—
1329#103—111no—
1330#103—111no—
1331#103C22×D1111yescharacteristic
1332#103C22×D1111yescharacteristic
1333#102—111no—
1334#102—111no—
1335#102—111no—
1336#102—111no—
1337#102—111no—
1338#102—111no—
1339#102—111no—
1340#102—111no—
1341#102—111no—
1342#102—111no—
1343#102—111no—
1344#102—111no—
1345#102—111no—
1346#102—111no—
1347#102—111no—
1348#102—111no—
1349#102C22×D1111yescharacteristic
1350#102C22×D1111yescharacteristic
1351#102C22×D1111yescharacteristic
1352#102C22×D1111yescharacteristic
1353C22⋊C8—111no—
1354C22⋊C8—111no—
1355C22⋊C8—111no—
1356C22⋊C8—111no—
1357C22⋊C8C22×D1111yescharacteristic
1358C22⋊C8C22×D1111yescharacteristic
1359#97—111no—
1360#97—111no—
1361#97—111no—
1362#97—111no—
1363C4×C8—111no—
1364C4×C8C22×D1111yescharacteristic
1365C2×C11—41no—
1366C2×C11—41no—
1367C2×C11—81no—
1368C2×C11—81no—
1369C2×C11—81no—
1370C2×C11—81no—
1371C2×C11#348811yescharacteristic
1372C2×C11#358411yescharacteristic
1373C2×C11#358511yescharacteristic
1374D11—41no—
1375D11—81no—
1376D11—81no—
1377C24—221no—
1378C24—221no—
1379#41—22no—
1380#41—22no—
1381#41—41no—
1382#41—41no—
1383#41—41no—
1384#41—41no—
1385#41—41no—
1386#41—41no—
1387#41—441no—
1388#41—441no—
1389#41—441no—
1390#41—441no—
1391#41—882no—
1392#41—882no—
1393C2×Q8—111no—
1394C2×Q8—111no—
1395C2×Q8—111no—
1396C2×Q8—221no—
1397C2×Q8—221no—
1398C2×Q8—221no—
1399C2×Q8—222no—
1400C2×Q8—441no—
1401C2×Q8C23×D1111yescharacteristic
1402C2×Q8C23×D1111yescharacteristic
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—21no—
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—111no—
1416C2×D4—111no—
1417C2×D4—111no—
1418C2×D4—111no—
1419C2×D4—221no—
1420C2×D4—221no—
1421C2×D4—221no—
1422C2×D4—221no—
1423C2×D4—221no—
1424C2×D4—221no—
1425C2×D4—221no—
1426C2×D4—221no—
1427C2×D4—221no—
1428C2×D4—221no—
1429C2×D4—221no—
1430C2×D4—221no—
1431C2×D4—221no—
1432C2×D4—221no—
1433C2×D4—441no—
1434C2×D4—441no—
1435C2×D4—441no—
1436C2×D4—441no—
1437C2×D4—882no—
1438C2×D4D4×D1111yescharacteristic
1439C2×D4C23×D1111yescharacteristic
1440C2×D4C23×D1111yescharacteristic
1441C2×D4C23×D1111yescharacteristic
1442C2×D4C23×D1111yescharacteristic
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—111no—
1448C22×C4—111no—
1449C22×C4—111no—
1450C22×C4—221no—
1451C22×C4—221no—
1452C22×C4—221no—
1453C22×C4—221no—
1454C22×C4—221no—
1455C22×C4—221no—
1456C22×C4—221no—
1457C22×C4—221no—
1458C22×C4—221no—
1459C22×C4—221no—
1460C22×C4—221no—
1461C22×C4—221no—
1462C22×C4C23×D1111yescharacteristic
1463C22×C4C23×D1111yescharacteristic
1464Q16—22no—
1465Q16—222no—
1466Q16—441no—
1467Q16—441no—
1468SD16—22no—
1469SD16—22no—
1470SD16—41no—
1471SD16—41no—
1472SD16—222no—
1473SD16—222no—
1474SD16—441no—
1475SD16—441no—
1476SD16—441no—
1477SD16—441no—
1478SD16—441no—
1479SD16—441no—
1480D8—41no—
1481D8—41no—
1482D8—41no—
1483D8—41no—
1484D8—441no—
1485D8—441no—
1486D8—441no—
1487D8—441no—
1488M16—441no—
1489M16—441no—
1490C2×C8—41no—
1491C2×C8—41no—
1492C2×C8—111no—
1493C2×C8—111no—
1494C2×C8—111no—
1495C2×C8—111no—
1496C2×C8—441no—
1497C2×C8—441no—
1498C2×C8C23×D1111yescharacteristic
1499C2×C8C23×D1111yescharacteristic
1500C2×C8C23×D1111yescharacteristic
1501C2×C8C23×D1111yescharacteristic
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—111no—
1505C4⋊C4—111no—
1506C4⋊C4—111no—
1507C4⋊C4—111no—
1508C4⋊C4—111no—
1509C4⋊C4—111no—
1510C4⋊C4—111no—
1511C4⋊C4—111no—
1512C4⋊C4—111no—
1513C4⋊C4—111no—
1514C4⋊C4—111no—
1515C4⋊C4—111no—
1516C4⋊C4—111no—
1517C4⋊C4—221no—
1518C4⋊C4—221no—
1519C4⋊C4—221no—
1520C4⋊C4—221no—
1521C4⋊C4—221no—
1522C4⋊C4—221no—
1523C4⋊C4—221no—
1524C4⋊C4—221no—
1525C4⋊C4—221no—
1526C4⋊C4—221no—
1527C4⋊C4—221no—
1528C4⋊C4—221no—
1529C4⋊C4—221no—
1530C4⋊C4—221no—
1531C4⋊C4—221no—
1532C4⋊C4—221no—
1533C4⋊C4—221no—
1534C4⋊C4—221no—
1535C4⋊C4—221no—
1536C4⋊C4D4×D1111yescharacteristic
1537C4⋊C4C23×D1111yescharacteristic
1538C4⋊C4C23×D1111yescharacteristic
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—111no—
1544C22⋊C4—111no—
1545C22⋊C4—111no—
1546C22⋊C4—111no—
1547C22⋊C4—111no—
1548C22⋊C4—111no—
1549C22⋊C4—111no—
1550C22⋊C4—111no—
1551C22⋊C4—221no—
1552C22⋊C4—221no—
1553C22⋊C4—221no—
1554C22⋊C4—221no—
1555C22⋊C4—221no—
1556C22⋊C4—221no—
1557C22⋊C4—221no—
1558C22⋊C4—221no—
1559C22⋊C4—221no—
1560C22⋊C4—221no—
1561C22⋊C4—221no—
1562C22⋊C4—221no—
1563C22⋊C4—221no—
1564C22⋊C4—221no—
1565C22⋊C4—221no—
1566C22⋊C4—221no—
1567C22⋊C4—221no—
1568C22⋊C4—221no—
1569C22⋊C4—221no—
1570C22⋊C4—221no—
1571C22⋊C4—221no—
1572C22⋊C4—221no—
1573C22⋊C4—221no—
1574C22⋊C4—221no—
1575C22⋊C4—221no—
1576C22⋊C4—221no—
1577C22⋊C4—221no—
1578C22⋊C4—221no—
1579C22⋊C4—221no—
1580C22⋊C4—221no—
1581C22⋊C4D4×D1111yescharacteristic
1582C22⋊C4D4×D1111yescharacteristic
1583C42—21no—
1584C42—21no—
1585C42—111no—
1586C42—111no—
1587C42—111no—
1588C42—111no—
1589C42—111no—
1590C42—221no—
1591C42—221no—
1592C42—221no—
1593C42—221no—
1594C42—221no—
1595C42—221no—
1596C42—221no—
1597C42—221no—
1598C42C23×D1111yescharacteristic
1599C11#6202611yescharacteristic, complemented, Sylow
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—111no—
1605C23—221no—
1606C23—221no—
1607C23—881no—
1608C23—881no—
1609C23—881no—
1610C23—881no—
1611C23—881no—
1612C23—881no—
1613C23C2×D4×D1111yescharacteristic
1614C23C2×D4×D1111yescharacteristic
1615Q8—21no—
1616Q8—21no—
1617Q8—21no—
1618Q8—221no—
1619Q8—221no—
1620Q8—221no—
1621Q8—221no—
1622Q8—441no—
1623Q8—442no—
1624Q8—881no—
1625Q8—881no—
1626Q8#6703712yes—
1627D4—21no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—41no—
1636D4—42no—
1637D4—42no—
1638D4—81no—
1639D4—81no—
1640D4—81no—
1641D4—81no—
1642D4—81no—
1643D4—81no—
1644D4—81no—
1645D4—81no—
1646D4—81no—
1647D4—81no—
1648D4—221no—
1649D4—221no—
1650D4—221no—
1651D4—221no—
1652D4—441no—
1653D4—441no—
1654D4—442no—
1655D4—881no—
1656D4—881no—
1657D4—881no—
1658D4—881no—
1659D4—881no—
1660D4—881no—
1661D4—881no—
1662D4—881no—
1663D4—881no—
1664D4—881no—
1665D4—881no—
1666D4—881no—
1667D4—881no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—42no—
1677C2×C4—42no—
1678C2×C4—81no—
1679C2×C4—81no—
1680C2×C4—111no—
1681C2×C4—111no—
1682C2×C4—111no—
1683C2×C4—111no—
1684C2×C4—111no—
1685C2×C4—111no—
1686C2×C4—111no—
1687C2×C4—221no—
1688C2×C4—221no—
1689C2×C4—221no—
1690C2×C4—221no—
1691C2×C4—221no—
1692C2×C4—221no—
1693C2×C4—221no—
1694C2×C4—221no—
1695C2×C4—442no—
1696C2×C4—442no—
1697C2×C4—441no—
1698C2×C4—441no—
1699C2×C4—442no—
1700C2×C4—881no—
1701C2×C4—881no—
1702C2×C4—881no—
1703C2×C4—881no—
1704C2×C4—881no—
1705C2×C4—881no—
1706C2×C4—881no—
1707C2×C4—881no—
1708C2×C4—881no—
1709C2×C4C2×D4×D1111yescharacteristic
1710C2×C4C2×D4×D1111yescharacteristic
1711C2×C4C2×D4×D1111yescharacteristic
1712C2×C4C2×D4×D1111yescharacteristic
1713C2×C4C24×D1111yescharacteristic
1714C8—21no—
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—221no—
1719C8—221no—
1720C8—221no—
1721C8—221no—
1722C22—21no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—21no—
1727C22—21no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—221no—
1741C22—221no—
1742C22—221no—
1743C22—441no—
1744C22—441no—
1745C22—441no—
1746C22—441no—
1747C22—441no—
1748C22—441no—
1749C22—1762no—
1750C22—1762no—
1751C22C22×D4×D1111yescharacteristic
1752C4—21no—
1753C4—21no—
1754C4—22no—
1755C4—21no—
1756C4—21no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—221no—
1761C4—221no—
1762C4—221no—
1763C4—221no—
1764C4—221no—
1765C4—221no—
1766C4—221no—
1767C4—441no—
1768C4—441no—
1769C4—441no—
1770C4—441no—
1771C4—441no—
1772C4—441no—
1773C4C2×#6703711yescharacteristic
1774C4#1062345511yescharacteristic
1775C2—41no—
1776C2—41no—
1777C2—81no—
1778C2—81no—
1779C2—81no—
1780C2—81no—
1781C2—441no—
1782C2—881no—
1783C2—881no—
1784C2#1308227611yescharacteristic
1785C2#1308338511yescharacteristic
1786C2#1308339111yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3287C2
socleC22×C11C23×D4
hypercenter#3287D11
hypocenterC11#62026
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3287

Complements

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

NH ≅ G/Ntype
1. #13082975C2semidirect
2. #13082714C2semidirect
3. #13081675C2semidirect
4. #13081663C2semidirect
5. #13081454C2semidirect
6. #13081340C2semidirect
7. #13080776C2semidirect
8. #13080763C2semidirect
9. #13080742C2semidirect
10. #13080585C2semidirect
11. #13080561C2semidirect
12. #13080453C2semidirect
13. #13080317C2semidirect
14. #13080194C2semidirect
15. #13080171C2semidirect
16. #13080157C2semidirect
17. #13080114C2semidirect
18. #13080071C2semidirect
19. #13080025C2semidirect
20. #13079935C2semidirect
21. #13079708C2semidirect
22. #13079659C2semidirect
23. #13079651C2semidirect
24. #13078894C2semidirect
25. #13078851C2semidirect
26. #13078760C2semidirect
27. #13078153C2semidirect
28. #13078132C2semidirect
29. #13078067C2semidirect
30. #13077749C2semidirect
31. C11×#3287C2semidirect
32. C2×C11×#135C22semidirect
33. C2×C11×#135C22semidirect
35. C11×#550C22semidirect
38. #10623362C22semidirect
41. #10623358C22semidirect
42. #41×Dic11C22semidirect
44. C2×#67003C22semidirect
46. C2×#66968C22semidirect
50. #10623250C22semidirect
55. #10623244C22semidirect
60. #10623147C22semidirect
66. #10623134C22semidirect
68. #10623131C22semidirect
73. #10623103C22semidirect
74. #10623100C22semidirect
79. #10623072C22semidirect
83. C11×#493C22semidirect
85. C11×#466C22semidirect
86. C11×#460C22semidirect
87. C11×#460C22semidirect
89. C11×#449C22semidirect
90. C11×#449C22semidirect
91. C11×#449C22semidirect
92. C4×C11×Q16C22semidirect
93. C8×D4×C11C22semidirect
94. #10622852C22semidirect
95. #10622852C22semidirect
96. #10622852C22semidirect
98. #10622846C22semidirect
99. #10622845C22semidirect
100. #10622799C22semidirect
102. #10622798C22semidirect
103. #10622795C22semidirect
104. #10622787C22semidirect
105. #10622784C22semidirect
107. #10622780C22semidirect
108. #10622779C22semidirect
110. #10622778C22semidirect
111. #10622778C22semidirect
112. #10622777C22semidirect
115. #10622776C22semidirect
116. #10622775C22semidirect
117. SD16×Dic11C22semidirect
118. #10622771C22semidirect
119. #10622771C22semidirect
123. #10622767C22semidirect
124. #10622766C22semidirect
125. #10622766C22semidirect
126. #10622766C22semidirect
127. #10622766C22semidirect
128. #10622765C22semidirect
129. #10622765C22semidirect
133. #10622763C22semidirect
134. #10622729C22semidirect
136. #10622726C22semidirect
139. C8×C22⋊D11C22semidirect
140. #10622715C22semidirect
141. C2×Dic11⋊C8C22semidirect
142. #10622688C22semidirect
144. #10622685C22semidirect
145. #10622684C22semidirect
147. #10622655C22semidirect
148. #10622654C22semidirect
150. #10622650C22semidirect
152. #10622648C22semidirect
154. #10622643C22semidirect
156. #10622639C22semidirect
157. #10622635C22semidirect
158. #10622624C22semidirect
161. #10622488C22semidirect
162. #10622488C22semidirect
163. #10622460C22semidirect
165. #10622452C22semidirect
166. #10622441C22semidirect
168. #10622428C22semidirect
170. #10622411C22semidirect
171. #10622410C22semidirect
173. #10622404C22semidirect
174. #10622402C22semidirect
179. #10622385C22semidirect
181. #10622380C22semidirect
182. #10622380C22semidirect
184. #10622376C22semidirect
186. #10622374C22semidirect
187. #10622373C22semidirect
188. #10622372C22semidirect
189. #10622372C22semidirect
190. #10622371C22semidirect
192. #10622346C22semidirect
194. #10622343C22semidirect
196. #10622334C22semidirect
197. #10622333C22semidirect
198. #10622332C22semidirect
200. C4×#4314C22semidirect
201. #10622303C22semidirect
202. #10622292C22semidirect
719. #3287D11semidirect
863. C2×#135C2×D11semidirect
864. C2×#135C2×D11semidirect
882. #550C2×D11semidirect
916. #493C2×D11semidirect
947. #466C2×D11semidirect
974. #460C2×D11semidirect
975. #460C2×D11semidirect
992. #449C2×D11semidirect
993. #449C2×D11semidirect
994. #449C2×D11semidirect
1009. C4×Q16C2×D11semidirect
1018. C8×D4C2×D11semidirect
1599. C11#62026semidirect

Maximal subgroups

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

subgroupindex
#130829752
#130827142
#130816752
#130816632
#130814542
#130813402
#130807762
#130807632
#130807422
#130805852
#130805612
#130804532
#130803172
#130801942
#130801712
#130801572
#130801142
#130800712
#130800252
#130799352
#130797082
#130796592
#130796512
#130788942
#130788512
#130787602
#130781532
#130781322
#130780672
#130777492
C11×#32872
#6202611