Finite Group Databasebeta

← #15647091

Subgroups — #15647091

Order 2816.

1896 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082941C211yesmaximal, characteristic, complemented
2#13082610C211yesmaximal, characteristic, complemented
3#13081689C211yesmaximal, characteristic, complemented
4#13081641C211yesmaximal, characteristic, complemented
5#13081380C211yesmaximal, characteristic, complemented
6#13081340C211yesmaximal, characteristic, complemented
7#13080757C211yesmaximal, characteristic, complemented
8#13080748C211yesmaximal, characteristic, complemented
9#13080701C211yesmaximal, characteristic, complemented
10#13080630C211yesmaximal, characteristic, complemented
11#13080468C211yesmaximal, characteristic, complemented
12#13080435C211yesmaximal, characteristic, complemented
13#13080323C211yesmaximal, characteristic, complemented
14#13080204C211yesmaximal, characteristic, complemented
15#13080127C211yesmaximal, characteristic, complemented
16#13080111C211yesmaximal, characteristic, complemented
17#13080104C211yesmaximal, characteristic, complemented
18#13080059C211yesmaximal, characteristic, complemented
19#13080030C211yesmaximal, characteristic, complemented
20#13079964C211yesmaximal, characteristic, complemented
21#13079714C211yesmaximal, characteristic, complemented
22#13079681C211yesmaximal, characteristic, complemented
23#13079637C211yesmaximal, characteristic, complemented
24#13078901C211yesmaximal, characteristic, complemented
25#13078821C211yesmaximal, characteristic, complemented
26#13078782C211yesmaximal, characteristic, complemented
27#13078152C211yesmaximal, characteristic, complemented
28#13078134C211yesmaximal, characteristic, complemented
29C2×#10622776C211yesmaximal, characteristic, complemented
30#13077749C211yesmaximal, characteristic, complemented
31D4×C11×SD16C211yesmaximal, characteristic, complemented
32C22×C11×SD16C2211yescharacteristic, complemented
33C22×C11×SD16C2211yescharacteristic, complemented
34D4×Q8×C11C2211yescharacteristic, complemented
35D42×C11C2211yescharacteristic
36#10623348C2211yescharacteristic, complemented
37#10623348C2211yescharacteristic, complemented
38#10623343C2211yescharacteristic, complemented
39C2×Q8×Dic11C2211yescharacteristic, complemented
40C2×#66995C2211yescharacteristic, complemented
41C22×#4325C2211yescharacteristic, complemented
42#10623337C2211yescharacteristic
43#10623336C2211yescharacteristic
44#10623335—21no—
45C2×#66993C2211yescharacteristic
46D4×C22⋊D11—21no—
47D4×C22⋊D11C2211yescharacteristic
48C2×#66969C2211yescharacteristic, complemented
49C2×#66967C2211yescharacteristic, complemented
50#10623263—21no—
51#10623263C2211yescharacteristic, complemented
52#10623262—21no—
53#10623262C2211yescharacteristic, complemented
54#10623249C2211yescharacteristic
55#10623246C2211yescharacteristic
56#10623174—21no—
57#10623174C2211yescharacteristic, complemented
58#10623170—21no—
59#10623170C2211yescharacteristic, complemented
60#10623166—21no—
61#10623166C2211yescharacteristic, complemented
62#10623155—21no—
63#10623155C2211yescharacteristic, complemented
64#10623151—21no—
65#10623150C2211yescharacteristic
66#10623146—21no—
67#10623140C2211yescharacteristic
68#10623131C2211yescharacteristic
69#10623130C2211yescharacteristic
70#10623126—21no—
71#10623123—21no—
72#10623122—21no—
73#10623120—21no—
74#10623105C2211yescharacteristic, complemented
75#10623100C2211yescharacteristic, complemented
76#10623096—21no—
77#10623096C2211yescharacteristic, complemented
78#10623093C2211yescharacteristic
79#10623090C2211yescharacteristic
80#10623081C2211yescharacteristic
81#10623069—21no—
82#10623069C2211yescharacteristic
83C11×#492C2211yescharacteristic, complemented
84C11×#465C2211yescharacteristic
85C11×#465C2211yescharacteristic, complemented
86C11×#461C2211yescharacteristic, complemented
87C11×#460C2211yescharacteristic, complemented
88C11×#450C2211yescharacteristic, complemented
89C11×#450C2211yescharacteristic, complemented
90C11×#448C2211yescharacteristic
91C11×#448C2211yescharacteristic, complemented
92C4×C11×SD16C2211yescharacteristic, complemented
93C8×D4×C11C2211yescharacteristic, complemented
94#10622841C2211yescharacteristic, complemented
95#10622840C2211yescharacteristic, complemented
96#10622830C2211yescharacteristic, complemented
97#10622830C2211yescharacteristic, complemented
98#10622828C2211yescharacteristic, complemented
99C2×#66896C2211yescharacteristic, complemented
100#10622789C2211yescharacteristic
101#10622789C2211yescharacteristic, complemented
102#10622789C2211yescharacteristic, complemented
103#10622787C2211yescharacteristic, complemented
104#10622786C2211yescharacteristic, complemented
105#10622786C2211yescharacteristic, complemented
106#10622785C2211yescharacteristic, complemented
107#10622784C2211yescharacteristic, complemented
108#10622782C2211yescharacteristic, complemented
109#10622782C2211yescharacteristic, complemented
110#10622781C2211yescharacteristic, complemented
111#10622779C2211yescharacteristic, complemented
112#10622779C2211yescharacteristic, complemented
113#10622779C2211yescharacteristic, complemented
114#10622779C2211yescharacteristic, complemented
115#10622779C2211yescharacteristic, complemented
116#10622778C2211yescharacteristic, complemented
117#10622778C2211yescharacteristic, complemented
118#10622777C2211yescharacteristic, complemented
119#10622777C2211yescharacteristic, complemented
120#10622777C2211yescharacteristic, complemented
121#10622776C2211yescharacteristic
122#10622776C2211yescharacteristic
123#10622776C2211yescharacteristic, complemented
124#10622776C2211yescharacteristic, complemented
125#10622776C2211yescharacteristic, complemented
126#10622776C2211yescharacteristic, complemented
127#10622776C2211yescharacteristic, complemented
128#10622776C2211yescharacteristic, complemented
129#10622776C2211yescharacteristic, complemented
130#10622776C2211yescharacteristic, complemented
131#10622776C2211yescharacteristic, complemented
132#10622776C2211yescharacteristic, complemented
133SD16×Dic11C2211yescharacteristic, complemented
134#10622728C2211yescharacteristic, complemented
135#10622727C2211yescharacteristic, complemented
136#10622726C2211yescharacteristic, complemented
137C2×#66885C2211yescharacteristic, complemented
138#10622724C2211yescharacteristic, complemented
139C8×C22⋊D11C2211yescharacteristic, complemented
140#10622715C2211yescharacteristic, complemented
141C2×Dic11⋊C8C2211yescharacteristic, complemented
142#10622699C2211yescharacteristic, complemented
143#10622696C2211yescharacteristic, complemented
144#10622685C2211yescharacteristic, complemented
145#10622684C2211yescharacteristic, complemented
146#10622664C2211yescharacteristic, complemented
147#10622662C2211yescharacteristic, complemented
148#10622660C2211yescharacteristic, complemented
149#10622659C2211yescharacteristic, complemented
150#10622652C2211yescharacteristic, complemented
151#10622651C2211yescharacteristic
152#10622648C2211yescharacteristic, complemented
153#10622647C2211yescharacteristic
154#10622641C2211yescharacteristic, complemented
155#10622639C2211yescharacteristic, complemented
156#10622627C2211yescharacteristic, complemented
157#10622624C2211yescharacteristic, complemented
158#10622622C2211yescharacteristic, complemented
159#10622484C2211yescharacteristic, complemented
160#10622483C2211yescharacteristic, complemented
161#10622476C2211yescharacteristic, complemented
162#10622470C2211yescharacteristic, complemented
163#10622460C2211yescharacteristic, complemented
164#10622457C2211yescharacteristic, complemented
165#10622452C2211yescharacteristic, complemented
166#10622441C2211yescharacteristic, complemented
167#10622432C2211yescharacteristic, complemented
168#10622430C2211yescharacteristic, complemented
169#10622425C2211yescharacteristic, complemented
170#10622424C2211yescharacteristic, complemented
171#10622420C2211yescharacteristic, complemented
172#10622412C2211yescharacteristic, complemented
173#10622411C2211yescharacteristic, complemented
174#10622409C2211yescharacteristic, complemented
175#10622409C2211yescharacteristic, complemented
176#10622402C2211yescharacteristic, complemented
177#10622402C2211yescharacteristic, complemented
178#10622401C2211yescharacteristic, complemented
179#10622400C2211yescharacteristic, complemented
180#10622399C2211yescharacteristic, complemented
181#10622399C2211yescharacteristic, complemented
182#10622387C2211yescharacteristic, complemented
183#10622384C2211yescharacteristic, complemented
184D11×#102C2211yescharacteristic, complemented
185#10622378C2211yescharacteristic, complemented
186#10622377C2211yescharacteristic
187#10622377C2211yescharacteristic, complemented
188#10622376C2211yescharacteristic, complemented
189#10622373C2211yescharacteristic, complemented
190#10622372C2211yescharacteristic, complemented
191#10622350C2211yescharacteristic, complemented
192#10622347C2211yescharacteristic, complemented
193#10622345C2211yescharacteristic, complemented
194#10622343C2211yescharacteristic, complemented
195#10622341C2211yescharacteristic, complemented
196#10622335C2211yescharacteristic, complemented
197#10622333C2211yescharacteristic, complemented
198#10622332C2211yescharacteristic, complemented
199#10622310C2211yescharacteristic, complemented
200C4×D88C2211yescharacteristic, complemented
201#10622303C2211yescharacteristic, complemented
202#10622292C2211yescharacteristic, complemented
203C22×Q8×C11C2311yescharacteristic
204C22×Q8×C11C2311yescharacteristic
205C22×D4×C11—21no—
206C22×D4×C11C2311yescharacteristic
207C22×D4×C11C2311yescharacteristic
208C22×C22⋊D11—21no—
209C22×C22⋊D11—21no—
210C22×C22⋊D11—21no—
211C2×#4343C2311yescharacteristic
212C2×#4341—21no—
213C2×#4341C2311yescharacteristic
214C2×D4×D11—21no—
215C2×D4×D11C2311yescharacteristic
216C2×#4339C2311yescharacteristic
217C22×D44C2311yescharacteristic
218C2×C11×SD16—42no—
219C2×C11×SD16—42no—
220C2×C11×SD16C2311yescharacteristic
221C2×C11×SD16C2311yescharacteristic
222C2×C11×SD16C2311yescharacteristic
223C2×C11×SD16C2311yescharacteristic
224C2×C11×SD16C2311yescharacteristic
225C2×C11×SD16C2311yescharacteristic
226C2×C11×SD16C2311yescharacteristic
227C2×C11×SD16C2311yescharacteristic
228C2×C11×SD16C2311yescharacteristic
229C22×C8×C11C2311yescharacteristic
230C22×C8×C11C2311yescharacteristic
231C11×C4⋊Q8—21no—
232C11×C4⋊Q8C2311yescharacteristic
233C11×#127C2311yescharacteristic
234C11×C22⋊Q8—21no—
235C11×C22⋊Q8—21no—
236C11×C22⋊Q8C2311yescharacteristic
237C11×C22⋊Q8C2311yescharacteristic
238C11×#121—21no—
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—
252#67000—21no—
253#67000—21no—
254#67000C2311yescharacteristic
255#67000C2311yescharacteristic
256#66999—21no—
257#66999—21no—
258#66999C2311yescharacteristic
259#66999C2311yescharacteristic
260Q8×Dic11—21no—
261Q8×Dic11—21no—
262Q8×Dic11—21no—
263Q8×Dic11—21no—
264Q8×Dic11C2311yescharacteristic
265Q8×Dic11C2311yescharacteristic
266Q8×Dic11C2311yescharacteristic
267Q8×Dic11C2311yescharacteristic
268Q8×Dic11C2311yescharacteristic
269Q8×Dic11C2311yescharacteristic
270Q8×Dic11C2311yescharacteristic
271C2×#4326C2311yescharacteristic
272C2×#4326C2311yescharacteristic
273C2×#4326C2311yescharacteristic
274#66995—42no—
275C2×#4325—42no—
276C2×#4325C2311yescharacteristic
277C2×#4325C2311yescharacteristic
278C2×#4325C2311yescharacteristic
279C2×#4325C2311yescharacteristic
280C2×#4325C2311yescharacteristic
281C2×#4325C2311yescharacteristic
282#66993—21no—
283#66993—21no—
284#66993—21no—
285#66993C2311yescharacteristic
286#66993C2311yescharacteristic
287#66993C2311yescharacteristic
288#66993C2311yescharacteristic
289#66993C2311yescharacteristic
290#66992—21no—
291#66992—21no—
292#66992—21no—
293#66992—21no—
294#66992—21no—
295#66992—21no—
296#66992—21no—
297#66992—21no—
298#66992—21no—
299#66992D411yescharacteristic
300#66991—21no—
301#66991—21no—
302#66991—21no—
303#66991—21no—
304#66991C2311yescharacteristic
305#66990—21no—
306#66990—21no—
307#66990—21no—
308#66990—21no—
309#66990—21no—
310#66989C2311yescharacteristic
311#66989C2311yescharacteristic
312#66988—21no—
313#66988—21no—
314#66988D411yescharacteristic
315D4×Dic11—21no—
316D4×Dic11C2311yescharacteristic
317D4×Dic11C2311yescharacteristic
318C2×#4323C2311yescharacteristic
319C2×#4323C2311yescharacteristic
320C2×#4323C2311yescharacteristic
321#66983—21no—
322#66983—21no—
323#66983—21no—
324#66983C2311yescharacteristic
325#66983C2311yescharacteristic
326#66983C2311yescharacteristic
327#66982—21no—
328#66982—21no—
329C4×C22⋊D11—21no—
330C4×C22⋊D11—21no—
331C4×C22⋊D11—21no—
332C4×C22⋊D11C2311yescharacteristic
333C4×C22⋊D11C2311yescharacteristic
334#66979—21no—
335#66979—21no—
336#66979C2311yescharacteristic
337#66979C2311yescharacteristic
338C2×C4⋊Dic11—21no—
339C2×C4⋊Dic11C2311yescharacteristic
340#66977C2311yescharacteristic
341C2×C4×Dic11—21no—
342C2×C4×Dic11C2311yescharacteristic
343C2×#4318C2311yescharacteristic
344C22×C11⋊C8C2311yescharacteristic
345#66969—42no—
346#66967—42no—
347C2×D88C2311yescharacteristic
348C2×D88C2311yescharacteristic
349C2×#4314C2311yescharacteristic
350C2×#4313C2311yescharacteristic
351C2×C8×D11C2311yescharacteristic
352#66951—21no—
353#66951—21no—
354#66951—21no—
355#66951—21no—
356#66951—21no—
357#66951—21no—
358#66951—21no—
359#66951D411yescharacteristic
360#66950—21no—
361#66950—21no—
362#66950—21no—
363#66948C2311yescharacteristic
364#66947—21no—
365#66946—21no—
366#66946C2311yescharacteristic
367#66946C2311yescharacteristic
368#66945—21no—
369#66945—21no—
370#66945—21no—
371C4⋊C4×D11—21no—
372C4⋊C4×D11C2311yescharacteristic
373#66943—21no—
374#66943C2311yescharacteristic
375#66943C2311yescharacteristic
376#66942—21no—
377#66942—21no—
378#66942—21no—
379#66942—21no—
380#66942D411yescharacteristic
381#66941—21no—
382#66941C2311yescharacteristic
383#66940C2311yescharacteristic
384#66939—21no—
385#66939—21no—
386#66939D411yescharacteristic
387#66938—21no—
388#66938—21no—
389#66938D411yescharacteristic
390#66937—21no—
391#66937—21no—
392#66937—21no—
393#66937—21no—
394#66936—21no—
395#66936—21no—
396#66936—21no—
397#66936—21no—
398#66936—21no—
399#66936—21no—
400#66935—21no—
401(C22⋊D11)⋊C4—21no—
402(C22⋊D11)⋊C4—21no—
403(C22⋊D11)⋊C4—21no—
404(C22⋊D11)⋊C4—21no—
405C22⋊C4×D11—21no—
406#66932—21no—
407#66932—21no—
408#66932D411yescharacteristic
409#66931—21no—
410#66931D411yescharacteristic
411#66930—21no—
412#66928C2311yescharacteristic
413C4×D44—21no—
414C4×D44C2311yescharacteristic
415C4×D44C2311yescharacteristic
416#66925—21no—
417#66925C2311yescharacteristic
418#66923—21no—
419#66923C2311yescharacteristic
420C4×Dic22—21no—
421C4×Dic22C2311yescharacteristic
422C11×#106C2311yescharacteristic
423C11×C4⋊C8C2311yescharacteristic
424C11×#103C2311yescharacteristic
425C11×#103C2311yescharacteristic
426C11×#103C2311yescharacteristic
427C11×#102C2311yescharacteristic
428C11×#102C2311yescharacteristic
429C11×#102C2311yescharacteristic
430C11×C22⋊C8C2311yescharacteristic
431C11×C22⋊C8C2311yescharacteristic
432C4×C8×C11C2311yescharacteristic
433#66899C2311yescharacteristic
434#66899C2311yescharacteristic
435#66899C2311yescharacteristic
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#66885C2311yescharacteristic
452#66885C2311yescharacteristic
453#66885C2311yescharacteristic
454(C2×D11)⋊C8C2311yescharacteristic
455(C2×D11)⋊C8C2311yescharacteristic
456#66882C2311yescharacteristic
457#66882C2311yescharacteristic
458#66881C2311yescharacteristic
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#66873C2311yescharacteristic
476#66873C2311yescharacteristic
477#66873C2311yescharacteristic
478#66872C2311yescharacteristic
479#66872C2311yescharacteristic
480#66871C2311yescharacteristic
481#66871C2311yescharacteristic
482C4⋊(C11⋊C8)C2311yescharacteristic
483#66867C2311yescharacteristic
484#62009—111nomaximal, Sylow
485C24×C11—21no—
486C24×C11—21no—
487C23×D11—21no—
488C23×D11—21no—
489C2×Q8×C11—21no—
490C2×Q8×C11—21no—
491C2×Q8×C11—22no—
492C2×Q8×C11—22no—
493C2×Q8×C11—41no—
494C2×Q8×C11—41no—
495C2×Q8×C11C2411yescharacteristic
496C2×Q8×C11C2411yescharacteristic
497C2×Q8×C11C2411yescharacteristic
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—41no—
505C2×D4×C11—41no—
506C2×D4×C11—41no—
507C2×D4×C11—41no—
508C2×D4×C11—82no—
509C2×D4×C11C2×D411yescharacteristic
510C2×D4×C11C2411yescharacteristic
511C2×D4×C11C2411yescharacteristic
512C2×D4×C11C2411yescharacteristic
513C22×C4×C11—21no—
514C22×C4×C11—21no—
515C22×C4×C11—21no—
516C22×C4×C11C2411yescharacteristic
517C22×C4×C11C2411yescharacteristic
518C2×C22⋊D11—21no—
519C2×C22⋊D11—21no—
520C2×C22⋊D11—21no—
521C2×C22⋊D11—21no—
522C2×C22⋊D11—21no—
523C2×C22⋊D11—21no—
524C2×C22⋊D11—21no—
525C2×C22⋊D11—21no—
526C2×C22⋊D11—21no—
527C2×C22⋊D11—21no—
528C2×C22⋊D11—21no—
529C2×C22⋊D11—21no—
530C2×C22⋊D11—21no—
531C2×C22⋊D11—21no—
532C2×C22⋊D11—21no—
533C2×C22⋊D11—21no—
534C2×C22⋊D11—21no—
535C2×C22⋊D11—82no—
536C2×C22⋊D11—82no—
537C2×C22⋊D11—82no—
538C2×C22⋊D11C2×D411yescharacteristic
539C2×C22⋊D11C2×D411yescharacteristic
540C22×Dic11—21no—
541C22×Dic11—21no—
542C22×Dic11—21no—
543C22×Dic11—21no—
544C22×Dic11C2×D411yescharacteristic
545C22×Dic11C2×D411yescharacteristic
546#4343—22no—
547#4343—41no—
548#4341—41no—
549#4341—41no—
550#4341—82no—
551D4×D11—41no—
552D4×D11—41no—
553D4×D11—82no—
554#4339—41no—
555#4339—41no—
556C2×D44—21no—
557C2×D44—21no—
558C2×D44—21no—
559C2×D44—41no—
560C2×D44—41no—
561C2×D44C2411yescharacteristic
562C2×D44C2411yescharacteristic
563C2×D44C2411yescharacteristic
564C2×C4×D11—21no—
565C2×C4×D11—21no—
566C2×C4×D11—21no—
567C2×C4×D11—21no—
568C2×C4×D11—21no—
569C2×C4×D11—21no—
570C2×C4×D11—21no—
571C2×C4×D11C2411yescharacteristic
572C2×Dic22—21no—
573C2×Dic22C2×D411yescharacteristic
574C2×Dic22C2411yescharacteristic
575C11×SD16—22no—
576C11×SD16—22no—
577C11×SD16—22no—
578C11×SD16—41no—
579C11×SD16—41no—
580C11×SD16—41no—
581C11×SD16—41no—
582C11×SD16—41no—
583C11×SD16—41no—
584C2×C8×C11—41no—
585C2×C8×C11—41no—
586C2×C8×C11C2411yescharacteristic
587C2×C8×C11C2411yescharacteristic
588C2×C8×C11C2411yescharacteristic
589C2×C8×C11C2411yescharacteristic
590C11×C4⋊C4—21no—
591C11×C4⋊C4—21no—
592C11×C4⋊C4—21no—
593C11×C4⋊C4—21no—
594C11×C4⋊C4—21no—
595C11×C4⋊C4C2×D411yescharacteristic
596C11×C4⋊C4C2411yescharacteristic
597C11×C4⋊C4C2411yescharacteristic
598C11×C22⋊C4—21no—
599C11×C22⋊C4—21no—
600C11×C22⋊C4—21no—
601C11×C22⋊C4—21no—
602C11×C22⋊C4—21no—
603C11×C22⋊C4C2×D411yescharacteristic
604C11×C22⋊C4C2×D411yescharacteristic
605C42×C11—21no—
606C42×C11C2411yescharacteristic
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⋊Dic11C2×D411yescharacteristic
617C22⋊Dic11C2×D411yescharacteristic
618C22⋊Dic11C2×D411yescharacteristic
619C22⋊Dic11C2×D411yescharacteristic
620#4326—22no—
621#4326—41no—
622#4326—41no—
623#4325—22no—
624#4325—22no—
625#4325—41no—
626#4325—41no—
627#4325—41no—
628#4325—41no—
629#4323—41no—
630#4323—41no—
631#4323—41no—
632(C2×D11)⋊C4—21no—
633(C2×D11)⋊C4—21no—
634(C2×D11)⋊C4—21no—
635(C2×D11)⋊C4—21no—
636(C2×D11)⋊C4—21no—
637(C2×D11)⋊C4—21no—
638(C2×D11)⋊C4—21no—
639(C2×D11)⋊C4—21no—
640(C2×D11)⋊C4—21no—
641(C2×D11)⋊C4—21no—
642(C2×D11)⋊C4—21no—
643(C2×D11)⋊C4—21no—
644(C2×D11)⋊C4—21no—
645(C2×D11)⋊C4—21no—
646(C2×D11)⋊C4—21no—
647(C2×D11)⋊C4—21no—
648(C2×D11)⋊C4C2×D411yescharacteristic
649(C2×D11)⋊C4C2×D411yescharacteristic
650(C2×D11)⋊C4C2×D411yescharacteristic
651(C2×D11)⋊C4C2×D411yescharacteristic
652C4⋊Dic11—21no—
653C4⋊Dic11—21no—
654C4⋊Dic11—21no—
655C4⋊Dic11—21no—
656C4⋊Dic11—21no—
657C4⋊Dic11—21no—
658C4⋊Dic11—21no—
659C4⋊Dic11—21no—
660C4⋊Dic11—21no—
661C4⋊Dic11—21no—
662C4⋊Dic11C2×D411yescharacteristic
663C4⋊Dic11C2×D411yescharacteristic
664C4⋊Dic11C2×D411yescharacteristic
665C4⋊Dic11C2411yescharacteristic
666C4⋊Dic11C2411yescharacteristic
667C4⋊Dic11C2411yescharacteristic
668C4⋊Dic11C2411yescharacteristic
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⋊C4—21no—
678Dic11⋊C4—21no—
679Dic11⋊C4C2×D411yescharacteristic
680Dic11⋊C4C2×D411yescharacteristic
681Dic11⋊C4C2×D411yescharacteristic
682Dic11⋊C4C2×D411yescharacteristic
683Dic11⋊C4C2×D411yescharacteristic
684Dic11⋊C4C2×D411yescharacteristic
685C4×Dic11—21no—
686C4×Dic11—21no—
687C4×Dic11—21no—
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—
706D88—41no—
707#4314—41no—
708#4313—41no—
709C8×D11—41no—
710#3543—111no—
711#3516—111no—
712#3401—111no—
713#3397—111no—
714#3371—111no—
715#3368—111no—
716#3318—111no—
717#3317—111no—
718#3314—111no—
719#3310—111no—
720#3297—111no—
721#3295—111no—
722#3282—111no—
723D4×SD16D1111yescharacteristic, complemented
724#3271—111no—
725#3266—111no—
726#3265—111no—
727#3265—111no—
728#3260—111no—
729#3257—111no—
730#3250—111no—
731#3224—111no—
732#3222—111no—
733#3217—111no—
734#3126—111no—
735#3119—111no—
736#3117—111no—
737#3045—111no—
738#3043—111no—
739C2×#460—111no—
740#2992—111no—
741C23×C11—21no—
742C23×C11—21no—
743C23×C11—21no—
744C23×C11—42no—
745C23×C11—81no—
746C23×C11—81no—
747C23×C11—81no—
748C23×C11—81no—
749C23×C11—81no—
750C23×C11C22×D411yescharacteristic
751C23×C11C22×D411yescharacteristic
752C22×D11—21no—
753C22×D11—21no—
754C22×D11—21no—
755C22×D11—42no—
756C22×D11—81no—
757C22×D11—81no—
758C22×D11—81no—
759C22×D11—81no—
760C22×D11—81no—
761C22×D11C22×D411yescharacteristic
762Q8×C11—21no—
763Q8×C11—21no—
764Q8×C11—21no—
765Q8×C11—21no—
766Q8×C11—21no—
767Q8×C11—42no—
768Q8×C11—42no—
769Q8×C11H(5,𝔽2)12yes—
770D4×C11—22no—
771D4×C11—21no—
772D4×C11—21no—
773D4×C11—21no—
774D4×C11—21no—
775D4×C11—21no—
776D4×C11—21no—
777D4×C11—42no—
778D4×C11—81no—
779D4×C11—81no—
780D4×C11—81no—
781D4×C11—81no—
782D4×C11—81no—
783C2×C4×C11—21no—
784C2×C4×C11—21no—
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—22no—
801C22⋊D11—41no—
802C22⋊D11—42no—
803C22⋊D11—42no—
804C22⋊D11—42no—
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—22no—
820C2×Dic11—21no—
821C2×Dic11—21no—
822C2×Dic11—21no—
823C2×Dic11—21no—
824C2×Dic11—21no—
825C2×Dic11—41no—
826C2×Dic11—42no—
827C2×Dic11—81no—
828C2×Dic11—81no—
829C2×Dic11—81no—
830C2×Dic11C22×D411yescharacteristic
831C2×Dic11C22×D411yescharacteristic
832C2×Dic11C22×D411yescharacteristic
833C2×Dic11C22×D411yescharacteristic
834C2×Dic11C22×D411yescharacteristic
835C2×Dic11C22×D411yescharacteristic
836C2×Dic11C22×D411yescharacteristic
837D44—21no—
838D44—21no—
839D44—21no—
840D44—21no—
841D44—21no—
842D44—21no—
843D44—42no—
844D44—81no—
845D44—81no—
846C4×D11—21no—
847C4×D11—21no—
848C4×D11—42no—
849C4×D11—81no—
850C4×D11—81no—
851C4×D11—81no—
852C4×D11—81no—
853C4×D11—81no—
854C4×D11—81no—
855Dic22—21no—
856Dic22—21no—
857Dic22—41no—
858Dic22—81no—
859C8×C11—21no—
860C8×C11—21no—
861C8×C11—21no—
862C8×C11—21no—
863C11⋊C8—21no—
864C11⋊C8—21no—
865C11⋊C8—21no—
866C11⋊C8—21no—
867C2×#137—111no—
868C2×AGL(1,ℤ/8)—111no—
869C2×#135—111no—
870C22×SD16—111no—
871C22×SD16C2×D1111yescharacteristic, complemented
872C22×SD16C2×D1111yescharacteristic, complemented
873#560—221no—
874#560—221no—
875#559—111no—
876#557—111no—
877#556—111no—
878#556—221no—
879#554—111no—
880#554—221no—
881#553—111no—
882#553—221no—
883#552—111no—
884#552—221no—
885#550—111no—
886#550—111no—
887D4×Q8C2×D1111yescharacteristic, complemented
888#548—111no—
889#548—111no—
890#546—111no—
891#546—111no—
892#546—221no—
893D42—111no—
894D42—111no—
895D42—221no—
896D42C2×D1111yescharacteristic
897#542—111no—
898#542—221no—
899#541—111no—
900#541—221no—
901#540—111no—
902#540—111no—
903#540—221no—
904#535—111no—
905#535—111no—
906#535—221no—
907#534—221no—
908#534—221no—
909C2×#127—111no—
910#529—111no—
911#529—111no—
912#529—111no—
913#529—221no—
914#529—221no—
915#520—111no—
916#519—111no—
917C2×C4×Q8—111no—
918#497—111no—
919#496—111no—
920#496—111no—
921#496—111no—
922#495—111no—
923#492C2×D1111yescharacteristic, complemented
924#490—111no—
925#490—111no—
926#490—111no—
927#489—111no—
928#488—111no—
929#486—111no—
930#484—111no—
931#482—111no—
932#482—111no—
933#481—111no—
934#481—111no—
935#480—111no—
936#479—111no—
937#479—111no—
938#479—111no—
939#479—111no—
940#478—111no—
941#478—111no—
942#478—111no—
943#478—111no—
944#476—111no—
945#474—111no—
946#469—111no—
947#468—111no—
948#468—111no—
949#468—111no—
950#467—111no—
951#466—111no—
952#466—111no—
953#465—111no—
954#465—111no—
955#465—111no—
956#465C2×D1111yescharacteristic
957#465C2×D1111yescharacteristic, complemented
958#464—111no—
959#464—111no—
960#464—111no—
961#464—111no—
962#464—111no—
963#464—111no—
964#464—111no—
965#463—111no—
966#463—111no—
967#463—111no—
968#463—111no—
969#463—111no—
970#461—111no—
971#461C2×D1111yescharacteristic, complemented
972#460—111no—
973#460—111no—
974#460—111no—
975#460—111no—
976#460—111no—
977#460—111no—
978#460—111no—
979#460—111no—
980#460—111no—
981#460—111no—
982#460—111no—
983#460—111no—
984#460C2×D1111yescharacteristic, complemented
985#459—111no—
986#459—111no—
987#459—111no—
988#452—111no—
989#452—111no—
990#452—111no—
991#451—111no—
992#450—111no—
993#450—111no—
994#450—111no—
995#450C2×D1111yescharacteristic, complemented
996#450C2×D1111yescharacteristic, complemented
997#449—111no—
998#449—111no—
999#449—111no—
1000#448—111no—
1001#448C2×D1111yescharacteristic
1002#448C2×D1111yescharacteristic, complemented
1003#447—111no—
1004#447—111no—
1005#447—111no—
1006#446—111no—
1007#446—111no—
1008#442—111no—
1009#441—111no—
1010#441—111no—
1011#440—111no—
1012#440—111no—
1013#440—111no—
1014#440—111no—
1015#440—111no—
1016C4×SD16—111no—
1017C4×SD16—111no—
1018C4×SD16C2×D1111yescharacteristic, complemented
1019C4×D8—111no—
1020#435—111no—
1021#435—111no—
1022#435—111no—
1023#435—111no—
1024C8×D4—111no—
1025C8×D4C2×D1111yescharacteristic, complemented
1026#433—111no—
1027#433—111no—
1028#432—111no—
1029#424—111no—
1030#424—111no—
1031C2×C4⋊C8—111no—
1032#418—111no—
1033#417—111no—
1034#416—111no—
1035C2×#102—111no—
1036C2×#102—111no—
1037C2×#102—111no—
1038C22×C11—21no—
1039C22×C11—21no—
1040C22×C11—21no—
1041C22×C11—21no—
1042C22×C11—21no—
1043C22×C11—41no—
1044C22×C11—41no—
1045C22×C11—41no—
1046C22×C11—41no—
1047C22×C11—41no—
1048C22×C11—41no—
1049C22×C11—41no—
1050C22×C11—41no—
1051C22×C11—41no—
1052C22×C11—162no—
1053C22×C11—162no—
1054C22×C11#57712yes—
1055C22×C11C23×D411yescharacteristic
1056C2×D11—21no—
1057C2×D11—21no—
1058C2×D11—21no—
1059C2×D11—41no—
1060C2×D11—41no—
1061C2×D11—41no—
1062C2×D11—41no—
1063C2×D11—41no—
1064C2×D11—41no—
1065C2×D11—41no—
1066C2×D11—41no—
1067C2×D11—41no—
1068C2×D11—162no—
1069C2×D11—162no—
1070C4×C11—21no—
1071C4×C11—21no—
1072C4×C11—21no—
1073C4×C11—22no—
1074C4×C11—21no—
1075C4×C11—41no—
1076C4×C11—41no—
1077C4×C11—41no—
1078C4×C11—41no—
1079C4×C11C2×H(5,𝔽2)11yescharacteristic
1080C4×C11#58511yescharacteristic
1081Dic11—21no—
1082Dic11—21no—
1083Dic11—21no—
1084Dic11—21no—
1085Dic11—21no—
1086Dic11—21no—
1087Dic11—21no—
1088Dic11—41no—
1089Dic11—41no—
1090Dic11—41no—
1091Dic11—41no—
1092Dic11—41no—
1093C2×#41—111no—
1094C2×#41—111no—
1095C2×#41—111no—
1096C2×#41—221no—
1097C22×Q8C22×D1111yescharacteristic
1098C22×Q8C22×D1111yescharacteristic
1099C22×D4—21no—
1100C22×D4—111no—
1101C22×D4—111no—
1102C22×D4—221no—
1103C22×D4—221no—
1104C22×D4—221no—
1105C22×D4—221no—
1106C22×D4C22×D1111yescharacteristic
1107C22×D4C22×D1111yescharacteristic
1108#137—442no—
1109AGL(1,ℤ/8)—442no—
1110#135—442no—
1111C2×Q16—111no—
1112C2×Q16—111no—
1113C2×Q16—111no—
1114C2×SD16—42no—
1115C2×SD16—42no—
1116C2×SD16—111no—
1117C2×SD16—111no—
1118C2×SD16—111no—
1119C2×SD16—111no—
1120C2×SD16—111no—
1121C2×SD16—111no—
1122C2×SD16—111no—
1123C2×SD16—442no—
1124C2×SD16C22×D1111yescharacteristic
1125C2×SD16C22×D1111yescharacteristic
1126C2×SD16C22×D1111yescharacteristic
1127C2×SD16C22×D1111yescharacteristic
1128C2×SD16C22×D1111yescharacteristic
1129C2×SD16C22×D1111yescharacteristic
1130C2×SD16C22×D1111yescharacteristic
1131C2×SD16C22×D1111yescharacteristic
1132C2×SD16C22×D1111yescharacteristic
1133C2×D8—111no—
1134C2×D8—111no—
1135C2×D8—111no—
1136C2×D8—111no—
1137C2×D8—111no—
1138C2×M16—111no—
1139C2×M16—111no—
1140C22×C8—111no—
1141C22×C8—111no—
1142C22×C8C22×D1111yescharacteristic
1143C22×C8C22×D1111yescharacteristic
1144C4⋊Q8—21no—
1145C4⋊Q8—111no—
1146C4⋊Q8—221no—
1147C4⋊Q8C22×D1111yescharacteristic
1148#127—111no—
1149#127—111no—
1150#127—111no—
1151#127—111no—
1152#127—111no—
1153#127—221no—
1154#127—221no—
1155#127—221no—
1156#127C22×D1111yescharacteristic
1157#126—111no—
1158#126—111no—
1159#126—221no—
1160#126—221no—
1161#126—221no—
1162#126—221no—
1163#126—221no—
1164#126—221no—
1165#126—221no—
1166#126—221no—
1167#126—221no—
1168#125—111no—
1169#125—111no—
1170#125—111no—
1171#125—111no—
1172#125—221no—
1173#125—221no—
1174#125—221no—
1175#125—221no—
1176#125—221no—
1177#125—221no—
1178#124—111no—
1179#124—111no—
1180#124—111no—
1181#124—111no—
1182#124—111no—
1183#124—111no—
1184#124—221no—
1185#124—221no—
1186#124—221no—
1187#124—221no—
1188#123—111no—
1189#123—111no—
1190#123—221no—
1191#123—221no—
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—
1203C22⋊Q8—21no—
1204C22⋊Q8—21no—
1205C22⋊Q8—111no—
1206C22⋊Q8—111no—
1207C22⋊Q8—111no—
1208C22⋊Q8—111no—
1209C22⋊Q8—221no—
1210C22⋊Q8—221no—
1211C22⋊Q8—221no—
1212C22⋊Q8—221no—
1213C22⋊Q8—221no—
1214C22⋊Q8—221no—
1215C22⋊Q8C22×D1111yescharacteristic
1216C22⋊Q8C22×D1111yescharacteristic
1217#121—21no—
1218#121—111no—
1219#121—111no—
1220#121—111no—
1221#121—111no—
1222#121—111no—
1223#121—111no—
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#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#121C22×D1111yescharacteristic
1245#121C22×D1111yescharacteristic
1246#120—21no—
1247#120—21no—
1248#120—221no—
1249#120—221no—
1250#120—221no—
1251#120—221no—
1252#120—221no—
1253#120—221no—
1254#120—221no—
1255#120—221no—
1256#120—221no—
1257#120—221no—
1258C4×Q8—111no—
1259C4×Q8—111no—
1260C4×Q8—111no—
1261C4×Q8—111no—
1262C4×Q8—111no—
1263C4×Q8—111no—
1264C4×Q8—111no—
1265C4×Q8—111no—
1266C4×Q8—111no—
1267C4×Q8—221no—
1268C4×Q8—221no—
1269C4×Q8—221no—
1270C4×Q8—221no—
1271C4×Q8—221no—
1272C4×Q8C22×D1111yescharacteristic
1273C4×D4—21no—
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—221no—
1283C4×D4—221no—
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×D4C22×D1111yescharacteristic
1293C4×D4C22×D1111yescharacteristic
1294#117—111no—
1295#117—111no—
1296#117—111no—
1297#117—221no—
1298#117—221no—
1299#117—221no—
1300#117—221no—
1301#117—221no—
1302#117—221no—
1303#117—221no—
1304C2×C4⋊C4—111no—
1305C2×C4⋊C4—111no—
1306C2×C4⋊C4—221no—
1307C2×C4⋊C4—221no—
1308C2×C22⋊C4—221no—
1309C2×C22⋊C4—221no—
1310C2×C42—111no—
1311C2×C42—221no—
1312#107—111no—
1313#107—111no—
1314#107—111no—
1315#107—111no—
1316#106—111no—
1317#106—111no—
1318#106—111no—
1319#106C22×D1111yescharacteristic
1320C4⋊C8—111no—
1321C4⋊C8—111no—
1322C4⋊C8—111no—
1323C4⋊C8—111no—
1324C4⋊C8—111no—
1325C4⋊C8—111no—
1326C4⋊C8—111no—
1327C4⋊C8—111no—
1328C4⋊C8—111no—
1329C4⋊C8C22×D1111yescharacteristic
1330#103—111no—
1331#103—111no—
1332#103—111no—
1333#103—111no—
1334#103—111no—
1335#103—111no—
1336#103—111no—
1337#103C22×D1111yescharacteristic
1338#103C22×D1111yescharacteristic
1339#103C22×D1111yescharacteristic
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#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#102C22×D1111yescharacteristic
1360#102C22×D1111yescharacteristic
1361#102C22×D1111yescharacteristic
1362C22⋊C8—111no—
1363C22⋊C8—111no—
1364C22⋊C8—111no—
1365C22⋊C8—111no—
1366C22⋊C8C22×D1111yescharacteristic
1367C22⋊C8C22×D1111yescharacteristic
1368#97—111no—
1369#97—111no—
1370#97—111no—
1371#97—111no—
1372C4×C8—111no—
1373C4×C8C22×D1111yescharacteristic
1374C2×C11—22no—
1375C2×C11—41no—
1376C2×C11—81no—
1377C2×C11—81no—
1378C2×C11—81no—
1379C2×C11#348811yescharacteristic
1380C2×C11C2×#57711yescharacteristic
1381C2×C11#358511yescharacteristic
1382D11—41no—
1383D11—81no—
1384D11—81no—
1385D11—81no—
1386C24—21no—
1387C24—21no—
1388C24—221no—
1389C24—221no—
1390#41—222no—
1391#41—441no—
1392#41—441no—
1393#41—441no—
1394#41—441no—
1395#41—441no—
1396#41—882no—
1397C2×Q8—21no—
1398C2×Q8—21no—
1399C2×Q8—22no—
1400C2×Q8—22no—
1401C2×Q8—41no—
1402C2×Q8—41no—
1403C2×Q8—111no—
1404C2×Q8—111no—
1405C2×Q8—221no—
1406C2×Q8C23×D1111yescharacteristic
1407C2×Q8C23×D1111yescharacteristic
1408C2×Q8C23×D1111yescharacteristic
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—21no—
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—41no—
1416C2×D4—41no—
1417C2×D4—41no—
1418C2×D4—41no—
1419C2×D4—82no—
1420C2×D4—111no—
1421C2×D4—111no—
1422C2×D4—111no—
1423C2×D4—111no—
1424C2×D4—111no—
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—221no—
1434C2×D4—221no—
1435C2×D4—221no—
1436C2×D4—221no—
1437C2×D4—221no—
1438C2×D4—221no—
1439C2×D4—221no—
1440C2×D4—221no—
1441C2×D4—221no—
1442C2×D4—221no—
1443C2×D4—221no—
1444C2×D4—221no—
1445C2×D4—441no—
1446C2×D4—441no—
1447C2×D4—441no—
1448C2×D4—441no—
1449C2×D4—882no—
1450C2×D4—882no—
1451C2×D4—882no—
1452C2×D4—882no—
1453C2×D4D4×D1111yescharacteristic
1454C2×D4C23×D1111yescharacteristic
1455C2×D4C23×D1111yescharacteristic
1456C2×D4C23×D1111yescharacteristic
1457C22×C4—21no—
1458C22×C4—21no—
1459C22×C4—21no—
1460C22×C4—111no—
1461C22×C4—111no—
1462C22×C4—111no—
1463C22×C4—221no—
1464C22×C4—221no—
1465C22×C4—221no—
1466C22×C4—221no—
1467C22×C4—221no—
1468C22×C4—221no—
1469C22×C4—221no—
1470C22×C4—221no—
1471C22×C4—221no—
1472C22×C4—221no—
1473C22×C4—221no—
1474C22×C4C23×D1111yescharacteristic
1475C22×C4C23×D1111yescharacteristic
1476Q16—222no—
1477Q16—441no—
1478Q16—441no—
1479SD16—22no—
1480SD16—22no—
1481SD16—22no—
1482SD16—41no—
1483SD16—41no—
1484SD16—41no—
1485SD16—41no—
1486SD16—41no—
1487SD16—41no—
1488SD16—222no—
1489SD16—222no—
1490SD16—441no—
1491SD16—441no—
1492SD16—441no—
1493SD16—441no—
1494SD16—441no—
1495D8—441no—
1496D8—441no—
1497D8—441no—
1498D8—441no—
1499D8—441no—
1500M16—441no—
1501M16—441no—
1502C2×C8—41no—
1503C2×C8—41no—
1504C2×C8—111no—
1505C2×C8—111no—
1506C2×C8—111no—
1507C2×C8—111no—
1508C2×C8—441no—
1509C2×C8—441no—
1510C2×C8C23×D1111yescharacteristic
1511C2×C8C23×D1111yescharacteristic
1512C2×C8C23×D1111yescharacteristic
1513C2×C8C23×D1111yescharacteristic
1514C4⋊C4—21no—
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—21no—
1519C4⋊C4—111no—
1520C4⋊C4—111no—
1521C4⋊C4—111no—
1522C4⋊C4—111no—
1523C4⋊C4—111no—
1524C4⋊C4—111no—
1525C4⋊C4—111no—
1526C4⋊C4—111no—
1527C4⋊C4—111no—
1528C4⋊C4—111no—
1529C4⋊C4—111no—
1530C4⋊C4—111no—
1531C4⋊C4—111no—
1532C4⋊C4—221no—
1533C4⋊C4—221no—
1534C4⋊C4—221no—
1535C4⋊C4—221no—
1536C4⋊C4—221no—
1537C4⋊C4—221no—
1538C4⋊C4—221no—
1539C4⋊C4—221no—
1540C4⋊C4—221no—
1541C4⋊C4—221no—
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⋊C4D4×D1111yescharacteristic
1553C4⋊C4C23×D1111yescharacteristic
1554C4⋊C4C23×D1111yescharacteristic
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—21no—
1560C22⋊C4—111no—
1561C22⋊C4—111no—
1562C22⋊C4—111no—
1563C22⋊C4—111no—
1564C22⋊C4—111no—
1565C22⋊C4—111no—
1566C22⋊C4—111no—
1567C22⋊C4—111no—
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⋊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⋊C4D4×D1111yescharacteristic
1594C22⋊C4D4×D1111yescharacteristic
1595C42—21no—
1596C42—111no—
1597C42—111no—
1598C42—111no—
1599C42—111no—
1600C42—111no—
1601C42—221no—
1602C42—221no—
1603C42—221no—
1604C42—221no—
1605C42—221no—
1606C42—221no—
1607C42—221no—
1608C42—221no—
1609C42—221no—
1610C42C23×D1111yescharacteristic
1611C11#6200911yescharacteristic, complemented, Sylow
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—42no—
1616C23—81no—
1617C23—81no—
1618C23—81no—
1619C23—81no—
1620C23—81no—
1621C23—111no—
1622C23—221no—
1623C23—221no—
1624C23—221no—
1625C23—442no—
1626C23—881no—
1627C23—881no—
1628C23—881no—
1629C23—881no—
1630C23—881no—
1631C23C2×D4×D1111yescharacteristic
1632C23C2×D4×D1111yescharacteristic
1633Q8—21no—
1634Q8—21no—
1635Q8—21no—
1636Q8—21no—
1637Q8—21no—
1638Q8—42no—
1639Q8—42no—
1640Q8—221no—
1641Q8—221no—
1642Q8—441no—
1643Q8—881no—
1644Q8#6703712yes—
1645D4—22no—
1646D4—21no—
1647D4—21no—
1648D4—21no—
1649D4—21no—
1650D4—21no—
1651D4—21no—
1652D4—42no—
1653D4—81no—
1654D4—81no—
1655D4—81no—
1656D4—81no—
1657D4—81no—
1658D4—222no—
1659D4—221no—
1660D4—221no—
1661D4—221no—
1662D4—221no—
1663D4—221no—
1664D4—221no—
1665D4—442no—
1666D4—441no—
1667D4—442no—
1668D4—442no—
1669D4—442no—
1670D4—881no—
1671D4—881no—
1672D4—881no—
1673D4—881no—
1674D4—881no—
1675D4—881no—
1676D4—881no—
1677D4—881no—
1678D4—881no—
1679D4—881no—
1680D4—881no—
1681D4—881no—
1682D4—881no—
1683D4—881no—
1684D4—881no—
1685D4—881no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—42no—
1696C2×C4—42no—
1697C2×C4—81no—
1698C2×C4—111no—
1699C2×C4—111no—
1700C2×C4—111no—
1701C2×C4—111no—
1702C2×C4—111no—
1703C2×C4—111no—
1704C2×C4—111no—
1705C2×C4—222no—
1706C2×C4—221no—
1707C2×C4—221no—
1708C2×C4—221no—
1709C2×C4—221no—
1710C2×C4—221no—
1711C2×C4—221no—
1712C2×C4—221no—
1713C2×C4—442no—
1714C2×C4—441no—
1715C2×C4—442no—
1716C2×C4—881no—
1717C2×C4—881no—
1718C2×C4—881no—
1719C2×C4—881no—
1720C2×C4—881no—
1721C2×C4—881no—
1722C2×C4—881no—
1723C2×C4—881no—
1724C2×C4—881no—
1725C2×C4C2×D4×D1111yescharacteristic
1726C2×C4C2×D4×D1111yescharacteristic
1727C2×C4C2×D4×D1111yescharacteristic
1728C2×C4C2×D4×D1111yescharacteristic
1729C2×C4C24×D1111yescharacteristic
1730C8—21no—
1731C8—21no—
1732C8—21no—
1733C8—21no—
1734C8—221no—
1735C8—221no—
1736C8—221no—
1737C8—221no—
1738C22—21no—
1739C22—21no—
1740C22—21no—
1741C22—21no—
1742C22—21no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—162no—
1753C22—162no—
1754C22—221no—
1755C22—221no—
1756C22—221no—
1757C22—441no—
1758C22—441no—
1759C22—441no—
1760C22—441no—
1761C22—441no—
1762C22—441no—
1763C22—441no—
1764C22—441no—
1765C22—441no—
1766C22—1762no—
1767C22—1762no—
1768C22#1062329312yes—
1769C22C22×D4×D1111yescharacteristic
1770C4—21no—
1771C4—21no—
1772C4—21no—
1773C4—22no—
1774C4—21no—
1775C4—41no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—221no—
1780C4—221no—
1781C4—221no—
1782C4—221no—
1783C4—221no—
1784C4—221no—
1785C4—221no—
1786C4—441no—
1787C4—441no—
1788C4—441no—
1789C4—441no—
1790C4—441no—
1791C4C2×#6703711yescharacteristic
1792C4#1062345511yescharacteristic
1793C2—22no—
1794C2—41no—
1795C2—81no—
1796C2—81no—
1797C2—81no—
1798C2—441no—
1799C2—881no—
1800C2—881no—
1801C2—881no—
1802C2#1308227611yescharacteristic
1803C2C2×#1062329311yescharacteristic
1804C2#1308339411yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingD4×C11×SD16C2
socleC22×C11C23×D4
hypercenterD4×SD16D11
hypocenterC11#62009
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ D4×SD16

Complements

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

NH ≅ G/Ntype
1. #13082941C2semidirect
2. #13082610C2semidirect
3. #13081689C2semidirect
4. #13081641C2semidirect
5. #13081380C2semidirect
6. #13081340C2semidirect
7. #13080757C2semidirect
8. #13080748C2semidirect
9. #13080701C2semidirect
10. #13080630C2semidirect
11. #13080468C2semidirect
12. #13080435C2semidirect
13. #13080323C2semidirect
14. #13080204C2semidirect
15. #13080127C2semidirect
16. #13080111C2semidirect
17. #13080104C2semidirect
18. #13080059C2semidirect
19. #13080030C2semidirect
20. #13079964C2semidirect
21. #13079714C2semidirect
22. #13079681C2semidirect
23. #13079637C2semidirect
24. #13078901C2semidirect
25. #13078821C2semidirect
26. #13078782C2semidirect
27. #13078152C2semidirect
28. #13078134C2semidirect
29. C2×#10622776C2semidirect
30. #13077749C2semidirect
31. D4×C11×SD16C2semidirect
32. C22×C11×SD16C22semidirect
33. C22×C11×SD16C22semidirect
34. D4×Q8×C11C22semidirect
36. #10623348C22semidirect
37. #10623348C22semidirect
38. #10623343C22semidirect
39. C2×Q8×Dic11C22semidirect
40. C2×#66995C22semidirect
41. C22×#4325C22semidirect
48. C2×#66969C22semidirect
49. C2×#66967C22semidirect
51. #10623263C22semidirect
53. #10623262C22semidirect
57. #10623174C22semidirect
59. #10623170C22semidirect
61. #10623166C22semidirect
63. #10623155C22semidirect
74. #10623105C22semidirect
75. #10623100C22semidirect
77. #10623096C22semidirect
83. C11×#492C22semidirect
85. C11×#465C22semidirect
86. C11×#461C22semidirect
87. C11×#460C22semidirect
88. C11×#450C22semidirect
89. C11×#450C22semidirect
91. C11×#448C22semidirect
92. C4×C11×SD16C22semidirect
93. C8×D4×C11C22semidirect
94. #10622841C22semidirect
95. #10622840C22semidirect
96. #10622830C22semidirect
97. #10622830C22semidirect
98. #10622828C22semidirect
99. C2×#66896C22semidirect
101. #10622789C22semidirect
102. #10622789C22semidirect
103. #10622787C22semidirect
104. #10622786C22semidirect
105. #10622786C22semidirect
106. #10622785C22semidirect
107. #10622784C22semidirect
108. #10622782C22semidirect
109. #10622782C22semidirect
110. #10622781C22semidirect
111. #10622779C22semidirect
112. #10622779C22semidirect
113. #10622779C22semidirect
114. #10622779C22semidirect
115. #10622779C22semidirect
116. #10622778C22semidirect
117. #10622778C22semidirect
118. #10622777C22semidirect
119. #10622777C22semidirect
120. #10622777C22semidirect
123. #10622776C22semidirect
124. #10622776C22semidirect
125. #10622776C22semidirect
126. #10622776C22semidirect
127. #10622776C22semidirect
128. #10622776C22semidirect
129. #10622776C22semidirect
130. #10622776C22semidirect
131. #10622776C22semidirect
132. #10622776C22semidirect
133. SD16×Dic11C22semidirect
134. #10622728C22semidirect
135. #10622727C22semidirect
136. #10622726C22semidirect
137. C2×#66885C22semidirect
138. #10622724C22semidirect
139. C8×C22⋊D11C22semidirect
140. #10622715C22semidirect
141. C2×Dic11⋊C8C22semidirect
142. #10622699C22semidirect
143. #10622696C22semidirect
144. #10622685C22semidirect
145. #10622684C22semidirect
146. #10622664C22semidirect
147. #10622662C22semidirect
148. #10622660C22semidirect
149. #10622659C22semidirect
150. #10622652C22semidirect
152. #10622648C22semidirect
154. #10622641C22semidirect
155. #10622639C22semidirect
156. #10622627C22semidirect
157. #10622624C22semidirect
158. #10622622C22semidirect
159. #10622484C22semidirect
160. #10622483C22semidirect
161. #10622476C22semidirect
162. #10622470C22semidirect
163. #10622460C22semidirect
164. #10622457C22semidirect
165. #10622452C22semidirect
166. #10622441C22semidirect
167. #10622432C22semidirect
168. #10622430C22semidirect
169. #10622425C22semidirect
170. #10622424C22semidirect
171. #10622420C22semidirect
172. #10622412C22semidirect
173. #10622411C22semidirect
174. #10622409C22semidirect
175. #10622409C22semidirect
176. #10622402C22semidirect
177. #10622402C22semidirect
178. #10622401C22semidirect
179. #10622400C22semidirect
180. #10622399C22semidirect
181. #10622399C22semidirect
182. #10622387C22semidirect
183. #10622384C22semidirect
184. D11×#102C22semidirect
185. #10622378C22semidirect
187. #10622377C22semidirect
188. #10622376C22semidirect
189. #10622373C22semidirect
190. #10622372C22semidirect
191. #10622350C22semidirect
192. #10622347C22semidirect
193. #10622345C22semidirect
194. #10622343C22semidirect
195. #10622341C22semidirect
196. #10622335C22semidirect
197. #10622333C22semidirect
198. #10622332C22semidirect
199. #10622310C22semidirect
200. C4×D88C22semidirect
201. #10622303C22semidirect
202. #10622292C22semidirect
723. D4×SD16D11semidirect
871. C22×SD16C2×D11semidirect
872. C22×SD16C2×D11semidirect
887. D4×Q8C2×D11semidirect
923. #492C2×D11semidirect
957. #465C2×D11semidirect
971. #461C2×D11semidirect
984. #460C2×D11semidirect
995. #450C2×D11semidirect
996. #450C2×D11semidirect
1002. #448C2×D11semidirect
1018. C4×SD16C2×D11semidirect
1025. C8×D4C2×D11semidirect
1611. C11#62009semidirect

Maximal subgroups

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

subgroupindex
#130829412
#130826102
#130816892
#130816412
#130813802
#130813402
#130807572
#130807482
#130807012
#130806302
#130804682
#130804352
#130803232
#130802042
#130801272
#130801112
#130801042
#130800592
#130800302
#130799642
#130797142
#130796812
#130796372
#130789012
#130788212
#130787822
#130781522
#130781342
C2×#106227762
#130777492
D4×C11×SD162
#6200911