Finite Group Databasebeta

← #15647014

Subgroups — #15647014

Order 2816.

1868 conjugacy classes of subgroups.

The subgroup lattice has 1772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082574C211yesmaximal, characteristic, complemented
2#13082206C211yesmaximal, characteristic, complemented
3#13081623C211yesmaximal, characteristic, complemented
4#13081609C211yesmaximal, characteristic, complemented
5#13081313C211yesmaximal, characteristic, complemented
6#13081296C211yesmaximal, characteristic, complemented
7#13080894C211yesmaximal, characteristic, complemented
8#13080871C211yesmaximal, characteristic, complemented
9#13080862C211yesmaximal, characteristic, complemented
10#13080840C211yesmaximal, characteristic, complemented
11#13080817C211yesmaximal, characteristic, complemented
12#13080812C211yesmaximal, characteristic, complemented
13#13080275C211yesmaximal, characteristic, complemented
14#13080269C211yesmaximal, characteristic, complemented
15#13080267C211yesmaximal, characteristic, complemented
16#13080250C211yesmaximal, characteristic, complemented
17#13080230C211yesmaximal, characteristic, complemented
18#13080018C211yesmaximal, characteristic, complemented
19#13080014C211yesmaximal, characteristic, complemented
20#13079971C211yesmaximal, characteristic, complemented
21#13079584C211yesmaximal, characteristic, complemented
22#13079576C211yesmaximal, characteristic, complemented
23#13079547C211yesmaximal, characteristic, complemented
24#13078691C211yesmaximal, characteristic, complemented
25#13078635C211yesmaximal, characteristic, complemented
26#13078632C211yesmaximal, characteristic, complemented
27#13078108C211yesmaximal, characteristic, complemented
28#13078107C211yesmaximal, characteristic, complemented
29#13078085C211yesmaximal, characteristic, complemented
30#13077744C211yesmaximal, characteristic, complemented
31C11×#3275C211yesmaximal, characteristic, complemented
32C2×C11×#137C2211yescharacteristic, complemented
33C2×C11×AGL(1,ℤ/8)C2211yescharacteristic
34C11×#548C2211yescharacteristic, complemented
35C11×#546C2211yescharacteristic
36#10623365C2211yescharacteristic
37#10623363C2211yescharacteristic
38#10623362C2211yescharacteristic
39#41×Dic11C2211yescharacteristic, complemented
40C2×#67004C2211yescharacteristic, complemented
41#10623348C2211yescharacteristic, complemented
42C2×Q8×Dic11C2211yescharacteristic, complemented
43C2×#66995C2211yescharacteristic, complemented
44D4×C22⋊D11C2211yescharacteristic
45C2×#66989C2211yescharacteristic
46C2×#66971C2211yescharacteristic, complemented
47C2×#66967C2211yescharacteristic
48#10623212—21no—
49#10623212C2211yescharacteristic, complemented
50#10623211—21no—
51#10623211C2211yescharacteristic, complemented
52D11×#124C2211yescharacteristic
53#10623202C2211yescharacteristic
54#10623193—21no—
55#10623190—21no—
56#10623172—21no—
57#10623172C2211yescharacteristic
58#10623163C2211yescharacteristic
59#10623155—21no—
60#10623155C2211yescharacteristic
61#10623155C2211yescharacteristic, complemented
62#10623149—21no—
63#10623149C2211yescharacteristic, complemented
64#10623147—21no—
65#10623144—21no—
66#10623143C2211yescharacteristic
67#10623131C2211yescharacteristic
68#10623127—21no—
69#10623127C2211yescharacteristic, complemented
70#10623124—21no—
71#10623122—21no—
72C4×#4343C2211yescharacteristic, complemented
73#10623100C2211yescharacteristic, complemented
74#10623096—21no—
75#10623096C2211yescharacteristic, complemented
76#10623090C2211yescharacteristic
77#10623088C2211yescharacteristic
78#10623083C2211yescharacteristic
79C4×#4341—21no—
80C4×#4341C2211yescharacteristic
81#10623026—21no—
82#10623017—21no—
83C11×#495C2211yescharacteristic
84C11×#470C2211yescharacteristic, complemented
85C11×#469C2211yescharacteristic
86C11×#464C2211yescharacteristic
87C11×#463C2211yescharacteristic, complemented
88C11×#452C2211yescharacteristic, complemented
89C11×#450C2211yescharacteristic
90C11×#449C2211yescharacteristic, complemented
91C11×#448C2211yescharacteristic
92C4×C11×SD16C2211yescharacteristic, complemented
93C11×#436C2211yescharacteristic, complemented
94#10622851C2211yescharacteristic
95#10622851C2211yescharacteristic, complemented
96#10622845C2211yescharacteristic, complemented
97#10622841C2211yescharacteristic, complemented
98#10622830C2211yescharacteristic
99#10622828C2211yescharacteristic
100#10622799C2211yescharacteristic, complemented
101#10622798C2211yescharacteristic, complemented
102#10622798C2211yescharacteristic, complemented
103#10622798C2211yescharacteristic, complemented
104Q16×Dic11C2211yescharacteristic, complemented
105#10622795C2211yescharacteristic, complemented
106#10622795C2211yescharacteristic, complemented
107#10622788C2211yescharacteristic, complemented
108#10622787C2211yescharacteristic
109#10622785C2211yescharacteristic
110#10622783C2211yescharacteristic, complemented
111#10622782C2211yescharacteristic
112#10622781C2211yescharacteristic
113#10622781C2211yescharacteristic, complemented
114#10622779C2211yescharacteristic
115#10622779C2211yescharacteristic
116#10622779C2211yescharacteristic
117#10622779C2211yescharacteristic, complemented
118#10622779C2211yescharacteristic, complemented
119#10622779C2211yescharacteristic, complemented
120#10622778C2211yescharacteristic, complemented
121#10622776C2211yescharacteristic
122#10622776C2211yescharacteristic
123SD16×Dic11C2211yescharacteristic
124SD16×Dic11C2211yescharacteristic
125SD16×Dic11C2211yescharacteristic, complemented
126#10622772C2211yescharacteristic
127#10622769C2211yescharacteristic
128#10622766C2211yescharacteristic
129#10622766C2211yescharacteristic
130#10622766C2211yescharacteristic, complemented
131#10622766C2211yescharacteristic, complemented
132#10622764C2211yescharacteristic
133#10622763C2211yescharacteristic
134#10622748C2211yescharacteristic
135#10622747C2211yescharacteristic, complemented
136#10622746C2211yescharacteristic, complemented
137#10622741C2211yescharacteristic
138#10622741C2211yescharacteristic, complemented
139#10622733C2211yescharacteristic, complemented
140#10622731C2211yescharacteristic, complemented
141#10622731C2211yescharacteristic, complemented
142#10622672C2211yescharacteristic, complemented
143#10622670C2211yescharacteristic
144#10622669C2211yescharacteristic
145#10622667C2211yescharacteristic, complemented
146#10622663C2211yescharacteristic, complemented
147#10622662C2211yescharacteristic
148#10622662C2211yescharacteristic, complemented
149#10622658C2211yescharacteristic, complemented
150#10622655C2211yescharacteristic, complemented
151#10622652C2211yescharacteristic
152#10622650C2211yescharacteristic, complemented
153#10622646C2211yescharacteristic
154C4×#4326C2211yescharacteristic, complemented
155#10622641C2211yescharacteristic, complemented
156C4×#4323C2211yescharacteristic, complemented
157#10622625C2211yescharacteristic, complemented
158#10622622C2211yescharacteristic, complemented
159#10622484C2211yescharacteristic, complemented
160#10622484C2211yescharacteristic, complemented
161#10622480C2211yescharacteristic, complemented
162#10622467C2211yescharacteristic, complemented
163#10622457C2211yescharacteristic, complemented
164#10622450C2211yescharacteristic, complemented
165#10622443C2211yescharacteristic, complemented
166#10622442C2211yescharacteristic, complemented
167#10622432C2211yescharacteristic, complemented
168#10622432C2211yescharacteristic, complemented
169#10622429C2211yescharacteristic, complemented
170#10622423C2211yescharacteristic, complemented
171#10622415C2211yescharacteristic, complemented
172#10622412C2211yescharacteristic, complemented
173#10622412C2211yescharacteristic, complemented
174#10622412C2211yescharacteristic, complemented
175#10622405C2211yescharacteristic, complemented
176#10622403C2211yescharacteristic, complemented
177#10622403C2211yescharacteristic, complemented
178#10622401C2211yescharacteristic, complemented
179#10622400C2211yescharacteristic
180#10622400C2211yescharacteristic, complemented
181#10622393C2211yescharacteristic, complemented
182#10622392C2211yescharacteristic
183#10622383C2211yescharacteristic
184#10622381C2211yescharacteristic
185#10622381C2211yescharacteristic, complemented
186#10622379C2211yescharacteristic, complemented
187#10622375C2211yescharacteristic, complemented
188#10622373C2211yescharacteristic
189#10622372C2211yescharacteristic
190#10622369C2211yescharacteristic, complemented
191#10622351C2211yescharacteristic, complemented
192#10622350C2211yescharacteristic
193#10622347C2211yescharacteristic, complemented
194#10622342C2211yescharacteristic
195#10622342C2211yescharacteristic, complemented
196#10622334C2211yescharacteristic, complemented
197#10622331C2211yescharacteristic, complemented
198#10622331C2211yescharacteristic, complemented
199#10622310C2211yescharacteristic, complemented
200C4×#4314C2211yescharacteristic, complemented
201#10622298C2211yescharacteristic, complemented
202C8×Dic22C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C2×C11×#41C2311yescharacteristic
205C22×Q8×C11C2311yescharacteristic
206C22×D4×C11C2311yescharacteristic
207C22×C22⋊D11—21no—
208C2×#4343C2311yescharacteristic
209C2×Q8×D11C2311yescharacteristic
210C2×#4341—21no—
211C2×#4341D411yescharacteristic
212C2×D4×D11C2311yescharacteristic
213C2×#4339C2311yescharacteristic
214C22×Dic22C2311yescharacteristic
215C11×#137—42no—
216C11×AGL(1,ℤ/8)—42no—
217C2×C11×Q16C2311yescharacteristic
218C2×C11×Q16C2311yescharacteristic
219C2×C11×SD16C2311yescharacteristic
220C2×C11×SD16C2311yescharacteristic
221C2×C11×SD16C2311yescharacteristic
222C2×C11×SD16C2311yescharacteristic
223C2×C11×SD16C2311yescharacteristic
224C2×C11×D8C2311yescharacteristic
225C2×C11×D8C2311yescharacteristic
226C2×C11×M16C2311yescharacteristic
227C2×C11×M16C2311yescharacteristic
228C11×#124—21no—
229C11×#124C2311yescharacteristic
230C11×#124C2311yescharacteristic
231C11×#123—21no—
232C11×C22⋊Q8—21no—
233C11×C22⋊Q8C2311yescharacteristic
234C11×C22⋊Q8C2311yescharacteristic
235C11×#121—21no—
236C11×#121—21no—
237C11×#121C2311yescharacteristic
238C11×#121C2311yescharacteristic
239C11×#120—21no—
240C4×Q8×C11C2311yescharacteristic
241C4×D4×C11—21no—
242C4×D4×C11C2311yescharacteristic
243C4×D4×C11C2311yescharacteristic
244C2×C11×C22⋊C4—21no—
245#67006—21no—
246C2×C22⋊Dic11—21no—
247C2×C22⋊Dic11—21no—
248#67004—42no—
249#67000—21no—
250#67000C2311yescharacteristic
251#67000C2311yescharacteristic
252#66999—21no—
253#66999C2311yescharacteristic
254Q8×Dic11—21no—
255Q8×Dic11—21no—
256Q8×Dic11C2311yescharacteristic
257Q8×Dic11C2311yescharacteristic
258Q8×Dic11C2311yescharacteristic
259Q8×Dic11C2311yescharacteristic
260Q8×Dic11C2311yescharacteristic
261Q8×Dic11C2311yescharacteristic
262#66997C2311yescharacteristic
263C2×#4326C2311yescharacteristic
264C2×#4326C2311yescharacteristic
265C2×#4326C2311yescharacteristic
266C2×#4326C2311yescharacteristic
267#66995—42no—
268C2×#4325C2311yescharacteristic
269C2×#4325C2311yescharacteristic
270C2×#4325C2311yescharacteristic
271#66993—21no—
272#66993C2311yescharacteristic
273#66993C2311yescharacteristic
274#66992—21no—
275#66992—21no—
276#66992—21no—
277#66992—21no—
278#66992—21no—
279#66992—21no—
280#66992—21no—
281#66991—21no—
282#66991—21no—
283#66991—21no—
284#66991C2311yescharacteristic
285#66991C2311yescharacteristic
286#66990—21no—
287#66990—21no—
288#66989—21no—
289#66989—21no—
290#66989—21no—
291#66989C2311yescharacteristic
292#66989C2311yescharacteristic
293#66989C2311yescharacteristic
294#66989C2311yescharacteristic
295#66988—21no—
296D4×Dic11—21no—
297D4×Dic11—21no—
298D4×Dic11—21no—
299D4×Dic11—21no—
300D4×Dic11D411yescharacteristic
301D4×Dic11C2311yescharacteristic
302D4×Dic11C2311yescharacteristic
303D4×Dic11C2311yescharacteristic
304C2×#4324C2311yescharacteristic
305C2×#4324C2311yescharacteristic
306C2×#4323C2311yescharacteristic
307C2×#4323C2311yescharacteristic
308C2×#4323C2311yescharacteristic
309#66983—21no—
310#66983—21no—
311#66983C2311yescharacteristic
312#66983C2311yescharacteristic
313#66983C2311yescharacteristic
314#66982—21no—
315C4×C22⋊D11—21no—
316C4×C22⋊D11—21no—
317C4×C22⋊D11—21no—
318C4×C22⋊D11—21no—
319C4×C22⋊D11—21no—
320C4×C22⋊D11—21no—
321C4×C22⋊D11—21no—
322C4×C22⋊D11C2311yescharacteristic
323C4×C22⋊D11C2311yescharacteristic
324#66979—21no—
325#66979—21no—
326#66979C2311yescharacteristic
327C2×C4⋊Dic11—21no—
328C2×C4⋊Dic11C2311yescharacteristic
329#66977—21no—
330#66977C2311yescharacteristic
331C2×C4×Dic11—21no—
332C2×C4×Dic11—21no—
333C2×C4×Dic11C2311yescharacteristic
334C2×C4×Dic11C2311yescharacteristic
335C2×#4318C2311yescharacteristic
336C2×#4318C2311yescharacteristic
337#66971—42no—
338#66967—42no—
339C2×D88C2311yescharacteristic
340C2×#4314C2311yescharacteristic
341C2×#4314C2311yescharacteristic
342C2×#4313C2311yescharacteristic
343C2×#4313C2311yescharacteristic
344#66951—21no—
345#66951—21no—
346#66951—21no—
347#66951—21no—
348#66950C2311yescharacteristic
349#66949—21no—
350#66949—21no—
351#66946—21no—
352#66946C2311yescharacteristic
353#66946C2311yescharacteristic
354#66945—21no—
355#66945—21no—
356#66945—21no—
357#66945D411yescharacteristic
358#66945C2311yescharacteristic
359#66943—21no—
360#66943C2311yescharacteristic
361#66943C2311yescharacteristic
362#66941—21no—
363#66941—21no—
364#66941C2311yescharacteristic
365#66940—21no—
366#66940D411yescharacteristic
367#66940C2311yescharacteristic
368#66939—21no—
369#66939—21no—
370#66939—21no—
371#66939—21no—
372#66938—21no—
373#66938—21no—
374#66938—21no—
375#66938—21no—
376#66938—21no—
377#66938—21no—
378#66938—21no—
379#66936—21no—
380#66936—21no—
381#66936—21no—
382#66936—21no—
383#66936—21no—
384#66936—21no—
385(C22⋊D11)⋊C4—21no—
386(C22⋊D11)⋊C4—21no—
387(C22⋊D11)⋊C4—21no—
388(C22⋊D11)⋊C4—21no—
389(C22⋊D11)⋊C4—21no—
390(C22⋊D11)⋊C4—21no—
391(C22⋊D11)⋊C4—21no—
392(C22⋊D11)⋊C4—21no—
393(C22⋊D11)⋊C4D411yescharacteristic
394(C22⋊D11)⋊C4D411yescharacteristic
395C22⋊C4×D11—21no—
396C22⋊C4×D11—21no—
397C22⋊C4×D11—21no—
398#66932—21no—
399#66932—21no—
400#66932—21no—
401#66932—21no—
402#66932—21no—
403#66932—21no—
404#66932—21no—
405#66931—21no—
406#66931—21no—
407#66930—21no—
408#66930—21no—
409#66930—21no—
410#66930D411yescharacteristic
411#66930D411yescharacteristic
412#66928C2311yescharacteristic
413C4×D44—21no—
414C4×D44C2311yescharacteristic
415C42×D11—21no—
416C42×D11C2311yescharacteristic
417#66923—21no—
418#66923C2311yescharacteristic
419C4×Dic22—21no—
420C4×Dic22C2311yescharacteristic
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#66899C2311yescharacteristic
437#66899C2311yescharacteristic
438#66896C2311yescharacteristic
439#66896C2311yescharacteristic
440#66896C2311yescharacteristic
441#66896C2311yescharacteristic
442#66896C2311yescharacteristic
443#66896C2311yescharacteristic
444#66896C2311yescharacteristic
445C22⋊(C11⋊C8)C2311yescharacteristic
446C22⋊(C11⋊C8)C2311yescharacteristic
447#66885C2311yescharacteristic
448#66885C2311yescharacteristic
449#66885C2311yescharacteristic
450#66885C2311yescharacteristic
451(C2×D11)⋊C8C2311yescharacteristic
452(C2×D11)⋊C8C2311yescharacteristic
453#66882C2311yescharacteristic
454#66881C2311yescharacteristic
455#66881C2311yescharacteristic
456#66880C2311yescharacteristic
457#66880C2311yescharacteristic
458#66880C2311yescharacteristic
459#66880C2311yescharacteristic
460#66880C2311yescharacteristic
461#66880C2311yescharacteristic
462Dic11⋊C8C2311yescharacteristic
463Dic11⋊C8C2311yescharacteristic
464Dic11⋊C8C2311yescharacteristic
465Dic11⋊C8C2311yescharacteristic
466Dic11⋊C8C2311yescharacteristic
467Dic11⋊C8C2311yescharacteristic
468Dic11⋊C8C2311yescharacteristic
469Dic11⋊C8C2311yescharacteristic
470C8×Dic11C2311yescharacteristic
471C8×Dic11C2311yescharacteristic
472C8×Dic11C2311yescharacteristic
473C8×Dic11C2311yescharacteristic
474#66874C2311yescharacteristic
475#66874C2311yescharacteristic
476#66873C2311yescharacteristic
477#66873C2311yescharacteristic
478#66872C2311yescharacteristic
479#66871C2311yescharacteristic
480#66871C2311yescharacteristic
481#66871C2311yescharacteristic
482C4⋊(C11⋊C8)C2311yescharacteristic
483C4×C11⋊C8C2311yescharacteristic
484#62006—111nomaximal, Sylow
485C24×C11—21no—
486C23×D11—21no—
487C11×#41—22no—
488C11×#41—41no—
489C11×#41—41no—
490C11×#41—41no—
491C2×Q8×C11—21no—
492C2×Q8×C11—22no—
493C2×Q8×C11—41no—
494C2×Q8×C11C2411yescharacteristic
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—41no—
503C2×D4×C11—41no—
504C2×D4×C11C2×D411yescharacteristic
505C2×D4×C11C2411yescharacteristic
506C2×D4×C11C2411yescharacteristic
507C2×D4×C11C2411yescharacteristic
508C22×C4×C11—21no—
509C22×C4×C11—21no—
510C22×C4×C11—21no—
511C22×C4×C11—21no—
512C22×C4×C11C2411yescharacteristic
513C22×C4×C11C2411yescharacteristic
514C2×C22⋊D11—21no—
515C2×C22⋊D11—21no—
516C2×C22⋊D11—21no—
517C2×C22⋊D11—21no—
518C2×C22⋊D11—21no—
519C2×C22⋊D11—21no—
520C2×C22⋊D11—21no—
521C2×C22⋊D11—21no—
522C2×C22⋊D11—21no—
523C2×C22⋊D11—21no—
524C2×C22⋊D11—21no—
525C2×C22⋊D11—44no—
526C2×C22⋊D11C2×D411yescharacteristic
527C2×C22⋊D11C2×D411yescharacteristic
528C22×Dic11—21no—
529C22×Dic11—21no—
530C22×Dic11—21no—
531C22×Dic11—21no—
532C22×Dic11—21no—
533C22×Dic11C2×D411yescharacteristic
534C22×Dic11C2×D411yescharacteristic
535C22×Dic11C2×D411yescharacteristic
536C22×Dic11C2×D411yescharacteristic
537#4343—22no—
538#4343—41no—
539Q8×D11—41no—
540Q8×D11—41no—
541#4341—42no—
542#4341—44no—
543D4×D11—41no—
544D4×D11—41no—
545#4339—41no—
546#4339—41no—
547C2×D44—21no—
548C2×D44C2411yescharacteristic
549C2×D44C2411yescharacteristic
550C2×C4×D11—21no—
551C2×C4×D11—21no—
552C2×C4×D11—21no—
553C2×C4×D11—21no—
554C2×C4×D11—21no—
555C2×C4×D11—21no—
556C2×C4×D11C2×D411yescharacteristic
557C2×C4×D11C2×D411yescharacteristic
558C2×C4×D11C2411yescharacteristic
559C2×Dic22—21no—
560C2×Dic22—21no—
561C2×Dic22—21no—
562C2×Dic22—41no—
563C2×Dic22—41no—
564C2×Dic22C2×D411yescharacteristic
565C2×Dic22C2411yescharacteristic
566C2×Dic22C2411yescharacteristic
567C11×Q16—22no—
568C11×Q16—41no—
569C11×SD16—22no—
570C11×SD16—22no—
571C11×SD16—41no—
572C11×SD16—41no—
573C11×SD16—41no—
574C11×D8—41no—
575C11×D8—41no—
576C11×M16—41no—
577C11×M16—41no—
578C2×C8×C11C2411yescharacteristic
579C2×C8×C11C2411yescharacteristic
580C2×C8×C11C2411yescharacteristic
581C2×C8×C11C2411yescharacteristic
582C11×C4⋊C4—21no—
583C11×C4⋊C4—21no—
584C11×C4⋊C4—21no—
585C11×C4⋊C4C2×D411yescharacteristic
586C11×C4⋊C4C2411yescharacteristic
587C11×C4⋊C4C2411yescharacteristic
588C11×C22⋊C4—21no—
589C11×C22⋊C4—21no—
590C11×C22⋊C4—21no—
591C11×C22⋊C4—21no—
592C11×C22⋊C4—21no—
593C11×C22⋊C4—21no—
594C11×C22⋊C4—21no—
595C11×C22⋊C4—21no—
596C11×C22⋊C4—21no—
597C11×C22⋊C4C2×D411yescharacteristic
598C11×C22⋊C4C2×D411yescharacteristic
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⋊Dic11C2×D411yescharacteristic
617C22⋊Dic11C2×D411yescharacteristic
618#4326—22no—
619#4326—22no—
620#4326—41no—
621#4326—41no—
622#4325—22no—
623#4325—41no—
624#4325—41no—
625#4324—41no—
626#4324—41no—
627#4323—41no—
628#4323—41no—
629#4323—41no—
630(C2×D11)⋊C4—21no—
631(C2×D11)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
646(C2×D11)⋊C4C2×D411yescharacteristic
647C4⋊Dic11—21no—
648C4⋊Dic11—21no—
649C4⋊Dic11—21no—
650C4⋊Dic11—21no—
651C4⋊Dic11—21no—
652C4⋊Dic11—21no—
653C4⋊Dic11—21no—
654C4⋊Dic11—21no—
655C4⋊Dic11—21no—
656C4⋊Dic11—21no—
657C4⋊Dic11C2×D411yescharacteristic
658C4⋊Dic11C2411yescharacteristic
659C4⋊Dic11C2411yescharacteristic
660C4⋊Dic11C2411yescharacteristic
661C4⋊Dic11C2411yescharacteristic
662Dic11⋊C4—21no—
663Dic11⋊C4—21no—
664Dic11⋊C4—21no—
665Dic11⋊C4—21no—
666Dic11⋊C4—21no—
667Dic11⋊C4—21no—
668Dic11⋊C4—21no—
669Dic11⋊C4—21no—
670Dic11⋊C4—21no—
671Dic11⋊C4—21no—
672Dic11⋊C4—21no—
673Dic11⋊C4C2×D411yescharacteristic
674Dic11⋊C4C2×D411yescharacteristic
675Dic11⋊C4C2×D411yescharacteristic
676Dic11⋊C4C2×D411yescharacteristic
677C4×Dic11—21no—
678C4×Dic11—21no—
679C4×Dic11—21no—
680C4×Dic11—21no—
681C4×Dic11—21no—
682C4×Dic11—21no—
683C4×Dic11—21no—
684C4×Dic11—21no—
685C4×Dic11—21no—
686C4×Dic11—21no—
687C4×Dic11C2×D411yescharacteristic
688C4×Dic11C2×D411yescharacteristic
689C4×Dic11C2×D411yescharacteristic
690C4×Dic11C2×D411yescharacteristic
691C4×Dic11C2×D411yescharacteristic
692C4×Dic11C2×D411yescharacteristic
693C4×Dic11C2411yescharacteristic
694C4×Dic11C2411yescharacteristic
695C4×Dic11C2411yescharacteristic
696#4318—41no—
697#4318—41no—
698C2×C11⋊C8C2411yescharacteristic
699C2×C11⋊C8C2411yescharacteristic
700C2×C11⋊C8C2411yescharacteristic
701C2×C11⋊C8C2411yescharacteristic
702D88—41no—
703#4314—41no—
704#4314—41no—
705#4313—41no—
706#4313—41no—
707#3514—111no—
708#3480—111no—
709#3396—111no—
710#3394—111no—
711#3365—111no—
712#3364—111no—
713#3328—111no—
714#3326—111no—
715#3326—111no—
716#3324—111no—
717#3322—111no—
718#3322—111no—
719#3278—111no—
720#3277—111no—
721#3277—111no—
722#3275—111no—
723#3275D1111yescharacteristic, complemented
724#3274—111no—
725#3256—111no—
726#3256—111no—
727#3251—111no—
728#3211—111no—
729#3211—111no—
730#3207—111no—
731#3108—111no—
732#3102—111no—
733#3102—111no—
734#3040—111no—
735#3040—111no—
736#3037—111no—
737#2991—111no—
738C23×C11—21no—
739C23×C11—21no—
740C23×C11—21no—
741C23×C11—42no—
742C23×C11—81no—
743C23×C11—81no—
744C23×C11C22×D411yescharacteristic
745C23×C11C22×D411yescharacteristic
746C22×D11—21no—
747C22×D11—21no—
748C22×D11—42no—
749C22×D11—81no—
750C22×D11—81no—
751C22×D11C22×D411yescharacteristic
752Q8×C11—21no—
753Q8×C11—21no—
754Q8×C11—21no—
755Q8×C11—21no—
756Q8×C11—21no—
757Q8×C11—42no—
758Q8×C11H(5,𝔽2)12yes—
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—
771C2×C4×C11—21no—
772C2×C4×C11—21no—
773C2×C4×C11—21no—
774C2×C4×C11—21no—
775C2×C4×C11—21no—
776C2×C4×C11—21no—
777C2×C4×C11—21no—
778C2×C4×C11—21no—
779C2×C4×C11—21no—
780C2×C4×C11—42no—
781C2×C4×C11—42no—
782C2×C4×C11—81no—
783C2×C4×C11—81no—
784C2×C4×C11C22×D411yescharacteristic
785C2×C4×C11C22×D411yescharacteristic
786C2×C4×C11C22×D411yescharacteristic
787C2×C4×C11C22×D411yescharacteristic
788C2×C4×C11C2511yescharacteristic
789C22⋊D11—22no—
790C22⋊D11—41no—
791C22⋊D11—42no—
792C22⋊D11—42no—
793C22⋊D11—42no—
794C22⋊D11—42no—
795C22⋊D11—42no—
796C22⋊D11—81no—
797C22⋊D11—81no—
798C22⋊D11—81no—
799C22⋊D11—81no—
800C22⋊D11—81no—
801C22⋊D11—81no—
802C2×Dic11—22no—
803C2×Dic11—21no—
804C2×Dic11—21no—
805C2×Dic11—21no—
806C2×Dic11—21no—
807C2×Dic11—21no—
808C2×Dic11—21no—
809C2×Dic11—41no—
810C2×Dic11—41no—
811C2×Dic11—41no—
812C2×Dic11—42no—
813C2×Dic11—42no—
814C2×Dic11—81no—
815C2×Dic11—81no—
816C2×Dic11—81no—
817C2×Dic11C22×D411yescharacteristic
818C2×Dic11C22×D411yescharacteristic
819C2×Dic11C22×D411yescharacteristic
820C2×Dic11C22×D411yescharacteristic
821C2×Dic11C22×D411yescharacteristic
822C2×Dic11C22×D411yescharacteristic
823C2×Dic11C22×D411yescharacteristic
824D44—21no—
825D44—21no—
826D44—21no—
827D44—21no—
828D44—42no—
829C4×D11—21no—
830C4×D11—21no—
831C4×D11—41no—
832C4×D11—41no—
833C4×D11—42no—
834C4×D11—42no—
835C4×D11—81no—
836C4×D11—81no—
837C4×D11—81no—
838C4×D11—81no—
839Dic22—22no—
840Dic22—21no—
841Dic22—21no—
842Dic22—21no—
843Dic22—21no—
844Dic22—42no—
845Dic22—81no—
846Dic22—81no—
847C8×C11—21no—
848C8×C11—21no—
849C8×C11—21no—
850C8×C11—21no—
851C11⋊C8—21no—
852C11⋊C8—21no—
853C11⋊C8—21no—
854C11⋊C8—21no—
855C2×#137—111no—
856C2×#137—111no—
857C2×#137—111no—
858C2×#137C2×D1111yescharacteristic, complemented
859C2×AGL(1,ℤ/8)—111no—
860C2×AGL(1,ℤ/8)C2×D1111yescharacteristic
861#559—111no—
862#559—111no—
863#559—221no—
864#557—111no—
865#556—111no—
866#556—111no—
867#556—221no—
868#555—221no—
869#553—111no—
870#553—111no—
871#553—221no—
872#553—221no—
873#551—221no—
874#551—221no—
875#550—111no—
876D4×Q8—111no—
877#548—111no—
878#548—111no—
879#548—111no—
880#548C2×D1111yescharacteristic, complemented
881#546—111no—
882#546—221no—
883#546C2×D1111yescharacteristic
884D42—111no—
885#542—221no—
886#538—221no—
887#538—221no—
888#532—111no—
889#532—111no—
890#532—221no—
891#529—111no—
892#529—111no—
893#529—111no—
894#529—111no—
895#529—111no—
896#529—221no—
897#529—221no—
898C2×#124—111no—
899C2×#124—111no—
900#518—221no—
901C4×#41—111no—
902C4×#41—111no—
903C4×#41—111no—
904C4×#41—221no—
905C2×C4×Q8—111no—
906#495—111no—
907#495—111no—
908#495—111no—
909#495C2×D1111yescharacteristic
910#493—111no—
911#492—111no—
912#488—111no—
913#488—111no—
914#488—111no—
915#488—111no—
916#487—111no—
917#486—111no—
918#485—111no—
919#485—111no—
920#483—111no—
921#482—111no—
922#482—111no—
923#480—111no—
924#479—111no—
925#479—111no—
926#479—111no—
927#479—111no—
928#478—111no—
929#478—111no—
930#478—111no—
931#478—111no—
932#475—111no—
933#474—111no—
934#470—111no—
935#470C2×D1111yescharacteristic, complemented
936#469—111no—
937#469—111no—
938#469—111no—
939#469C2×D1111yescharacteristic
940#468—111no—
941#468—111no—
942#468—111no—
943#468—111no—
944#468—111no—
945#468—111no—
946#464—111no—
947#464—111no—
948#464—111no—
949#464—111no—
950#464—111no—
951#464—111no—
952#464—111no—
953#464—111no—
954#464—111no—
955#464—111no—
956#464—111no—
957#464C2×D1111yescharacteristic
958#463—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#463—111no—
968#463—111no—
969#463C2×D1111yescharacteristic, complemented
970#462—111no—
971#462—111no—
972#460—111no—
973#460—111no—
974#460—111no—
975#459—111no—
976#452—111no—
977#452C2×D1111yescharacteristic, complemented
978#451—111no—
979#451—111no—
980#451—111no—
981#450—111no—
982#450C2×D1111yescharacteristic
983#449—111no—
984#449—111no—
985#449—111no—
986#449—111no—
987#449—111no—
988#449C2×D1111yescharacteristic, complemented
989#448—111no—
990#448—111no—
991#448C2×D1111yescharacteristic
992#447—111no—
993#447—111no—
994C8×Q8—111no—
995C8×Q8—111no—
996C4×Q16—111no—
997C4×Q16—111no—
998C4×Q16—111no—
999C4×Q16—111no—
1000C4×SD16—111no—
1001C4×SD16—111no—
1002C4×SD16—111no—
1003C4×SD16—111no—
1004C4×SD16—111no—
1005C4×SD16C2×D1111yescharacteristic, complemented
1006C4×D8—111no—
1007C4×D8—111no—
1008#436—111no—
1009#436—111no—
1010#436—111no—
1011#436—111no—
1012#436—111no—
1013#436C2×D1111yescharacteristic, complemented
1014#431—111no—
1015#431—111no—
1016#431—111no—
1017#423—111no—
1018#423—111no—
1019#423—111no—
1020#419—111no—
1021#419—111no—
1022#418—111no—
1023#418—111no—
1024#417—111no—
1025#417—111no—
1026C22×C11—21no—
1027C22×C11—21no—
1028C22×C11—21no—
1029C22×C11—21no—
1030C22×C11—21no—
1031C22×C11—21no—
1032C22×C11—41no—
1033C22×C11—41no—
1034C22×C11—41no—
1035C22×C11—41no—
1036C22×C11—41no—
1037C22×C11—41no—
1038C22×C11—41no—
1039C22×C11—41no—
1040C22×C11—41no—
1041C22×C11—162no—
1042C22×C11C23×D411yescharacteristic
1043C2×D11—21no—
1044C2×D11—21no—
1045C2×D11—21no—
1046C2×D11—41no—
1047C2×D11—41no—
1048C2×D11—41no—
1049C2×D11—41no—
1050C2×D11—41no—
1051C2×D11—41no—
1052C2×D11—162no—
1053C4×C11—21no—
1054C4×C11—21no—
1055C4×C11—21no—
1056C4×C11—22no—
1057C4×C11—21no—
1058C4×C11—41no—
1059C4×C11—41no—
1060C4×C11—41no—
1061C4×C11—41no—
1062C4×C11C2×H(5,𝔽2)11yescharacteristic
1063C4×C11#58511yescharacteristic
1064Dic11—21no—
1065Dic11—21no—
1066Dic11—21no—
1067Dic11—21no—
1068Dic11—21no—
1069Dic11—21no—
1070Dic11—41no—
1071Dic11—41no—
1072Dic11—41no—
1073Dic11—41no—
1074Dic11—41no—
1075Dic11—41no—
1076Dic11#57512yes—
1077C2×#41—111no—
1078C2×#41—111no—
1079C2×#41—111no—
1080C2×#41—221no—
1081C2×#41C22×D1111yescharacteristic
1082C2×#41C22×D1111yescharacteristic
1083C22×Q8—111no—
1084C22×Q8—111no—
1085C22×Q8C22×D1111yescharacteristic
1086C22×D4—111no—
1087C22×D4—221no—
1088C22×D4C22×D1111yescharacteristic
1089#137—42no—
1090#137—442no—
1091#137—442no—
1092#137—442no—
1093AGL(1,ℤ/8)—42no—
1094AGL(1,ℤ/8)—442no—
1095C2×Q16—111no—
1096C2×Q16—111no—
1097C2×Q16—111no—
1098C2×Q16—111no—
1099C2×Q16C22×D1111yescharacteristic
1100C2×Q16C22×D1111yescharacteristic
1101C2×SD16—111no—
1102C2×SD16—111no—
1103C2×SD16—111no—
1104C2×SD16—111no—
1105C2×SD16—111no—
1106C2×SD16—111no—
1107C2×SD16—111no—
1108C2×SD16C22×D1111yescharacteristic
1109C2×SD16C22×D1111yescharacteristic
1110C2×SD16C22×D1111yescharacteristic
1111C2×SD16C22×D1111yescharacteristic
1112C2×SD16C22×D1111yescharacteristic
1113C2×D8—111no—
1114C2×D8—111no—
1115C2×D8—111no—
1116C2×D8—111no—
1117C2×D8C22×D1111yescharacteristic
1118C2×D8C22×D1111yescharacteristic
1119C2×M16—111no—
1120C2×M16—111no—
1121C2×M16—111no—
1122C2×M16—111no—
1123C2×M16C22×D1111yescharacteristic
1124C2×M16C22×D1111yescharacteristic
1125C4⋊Q8—111no—
1126C4⋊Q8—111no—
1127C4⋊Q8—221no—
1128C4⋊Q8—221no—
1129#127—111no—
1130#127—111no—
1131#127—221no—
1132#126—221no—
1133#126—221no—
1134#126—221no—
1135#126—221no—
1136#126—221no—
1137#126—221no—
1138#126—221no—
1139#126—221no—
1140#126—221no—
1141#126—221no—
1142#126—221no—
1143#125—111no—
1144#125—111no—
1145#125—111no—
1146#125—221no—
1147#125—221no—
1148#124—21no—
1149#124—111no—
1150#124—111no—
1151#124—111no—
1152#124—111no—
1153#124—111no—
1154#124—111no—
1155#124—111no—
1156#124—221no—
1157#124—221no—
1158#124—221no—
1159#124—221no—
1160#124—221no—
1161#124—221no—
1162#124—221no—
1163#124—221no—
1164#124—221no—
1165#124—221no—
1166#124—221no—
1167#124C22×D1111yescharacteristic
1168#124C22×D1111yescharacteristic
1169#123—21no—
1170#123—221no—
1171#123—221no—
1172#123—221no—
1173#123—221no—
1174#123—221no—
1175#123—221no—
1176#123—221no—
1177#123—221no—
1178#123—221no—
1179#123—221no—
1180#123—221no—
1181#123—221no—
1182C22⋊Q8—21no—
1183C22⋊Q8—111no—
1184C22⋊Q8—111no—
1185C22⋊Q8—111no—
1186C22⋊Q8—221no—
1187C22⋊Q8—221no—
1188C22⋊Q8—221no—
1189C22⋊Q8—221no—
1190C22⋊Q8—221no—
1191C22⋊Q8—221no—
1192C22⋊Q8C22×D1111yescharacteristic
1193C22⋊Q8C22×D1111yescharacteristic
1194#121—21no—
1195#121—21no—
1196#121—111no—
1197#121—111no—
1198#121—111no—
1199#121—111no—
1200#121—111no—
1201#121—221no—
1202#121—221no—
1203#121—221no—
1204#121—221no—
1205#121—221no—
1206#121—221no—
1207#121—221no—
1208#121—221no—
1209#121—221no—
1210#121—221no—
1211#121—221no—
1212#121—221no—
1213#121C22×D1111yescharacteristic
1214#121C22×D1111yescharacteristic
1215#120—21no—
1216#120—221no—
1217#120—221no—
1218#120—221no—
1219C4×Q8—111no—
1220C4×Q8—111no—
1221C4×Q8—111no—
1222C4×Q8—111no—
1223C4×Q8—111no—
1224C4×Q8—111no—
1225C4×Q8—111no—
1226C4×Q8—111no—
1227C4×Q8—111no—
1228C4×Q8—111no—
1229C4×Q8—221no—
1230C4×Q8—221no—
1231C4×Q8—221no—
1232C4×Q8—221no—
1233C4×Q8C22×D1111yescharacteristic
1234C4×D4—21no—
1235C4×D4—111no—
1236C4×D4—111no—
1237C4×D4—111no—
1238C4×D4—111no—
1239C4×D4—111no—
1240C4×D4—111no—
1241C4×D4—111no—
1242C4×D4—111no—
1243C4×D4—111no—
1244C4×D4—111no—
1245C4×D4—111no—
1246C4×D4—221no—
1247C4×D4—221no—
1248C4×D4—221no—
1249C4×D4—221no—
1250C4×D4—221no—
1251C4×D4—221no—
1252C4×D4—221no—
1253C4×D4—221no—
1254C4×D4—221no—
1255C4×D4—221no—
1256C4×D4—221no—
1257C4×D4—221no—
1258C4×D4—221no—
1259C4×D4—221no—
1260C4×D4—221no—
1261C4×D4—221no—
1262C4×D4—221no—
1263C4×D4—221no—
1264C4×D4—221no—
1265C4×D4—221no—
1266C4×D4—221no—
1267C4×D4C22×D1111yescharacteristic
1268C4×D4C22×D1111yescharacteristic
1269#117—111no—
1270#117—111no—
1271#117—111no—
1272#117—111no—
1273#117—111no—
1274#117—221no—
1275#117—221no—
1276#117—221no—
1277#117—221no—
1278#117—221no—
1279#117—221no—
1280#117—221no—
1281#117—221no—
1282C2×C4⋊C4—111no—
1283C2×C4⋊C4—221no—
1284C2×C22⋊C4—21no—
1285C2×C22⋊C4—221no—
1286C2×C22⋊C4—221no—
1287C2×C22⋊C4—221no—
1288C2×C22⋊C4—221no—
1289C2×C22⋊C4—221no—
1290C2×C42—111no—
1291C2×C42—111no—
1292C2×C42—111no—
1293C2×C42—221no—
1294C2×C42—221no—
1295C2×C42—221no—
1296#107—111no—
1297#107—111no—
1298#107—111no—
1299#107—111no—
1300#106—111no—
1301#106—111no—
1302#106—111no—
1303#106C22×D1111yescharacteristic
1304C4⋊C8—111no—
1305C4⋊C8—111no—
1306C4⋊C8—111no—
1307C4⋊C8—111no—
1308C4⋊C8—111no—
1309C4⋊C8—111no—
1310C4⋊C8—111no—
1311C4⋊C8—111no—
1312C4⋊C8—111no—
1313C4⋊C8C22×D1111yescharacteristic
1314#103—111no—
1315#103—111no—
1316#103—111no—
1317#103—111no—
1318#103—111no—
1319#103—111no—
1320#103—111no—
1321#103—111no—
1322#103—111no—
1323#103—111no—
1324#103—111no—
1325#103—111no—
1326#103—111no—
1327#103C22×D1111yescharacteristic
1328#103C22×D1111yescharacteristic
1329#103C22×D1111yescharacteristic
1330#102—111no—
1331#102—111no—
1332#102—111no—
1333#102—111no—
1334#102—111no—
1335#102—111no—
1336#102—111no—
1337#102—111no—
1338#102—111no—
1339#102—111no—
1340#102—111no—
1341#102—111no—
1342#102—111no—
1343#102C22×D1111yescharacteristic
1344#102C22×D1111yescharacteristic
1345#102C22×D1111yescharacteristic
1346C22⋊C8—111no—
1347C22⋊C8—111no—
1348C22⋊C8—111no—
1349C22⋊C8—111no—
1350C22⋊C8C22×D1111yescharacteristic
1351C22⋊C8C22×D1111yescharacteristic
1352C4×C8—111no—
1353C4×C8—111no—
1354C4×C8—111no—
1355C4×C8—111no—
1356C4×C8—111no—
1357C4×C8C22×D1111yescharacteristic
1358C2×C11—41no—
1359C2×C11—41no—
1360C2×C11—81no—
1361C2×C11—81no—
1362C2×C11—81no—
1363C2×C11#348811yescharacteristic
1364C2×C11C2×#57511yescharacteristic
1365C2×C11#358411yescharacteristic
1366D11—41no—
1367D11—81no—
1368D11—81no—
1369C24—21no—
1370C24—221no—
1371#41—22no—
1372#41—41no—
1373#41—41no—
1374#41—41no—
1375#41—222no—
1376#41—441no—
1377#41—441no—
1378#41—442no—
1379#41—444no—
1380#41—441no—
1381C2×Q8—21no—
1382C2×Q8—22no—
1383C2×Q8—41no—
1384C2×Q8—111no—
1385C2×Q8—111no—
1386C2×Q8—111no—
1387C2×Q8—221no—
1388C2×Q8—221no—
1389C2×Q8—221no—
1390C2×Q8—441no—
1391C2×Q8—441no—
1392C2×Q8—441no—
1393C2×Q8—441no—
1394C2×Q8C23×D1111yescharacteristic
1395C2×Q8C23×D1111yescharacteristic
1396C2×Q8C23×D1111yescharacteristic
1397C2×D4—21no—
1398C2×D4—21no—
1399C2×D4—21no—
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—41no—
1403C2×D4—41no—
1404C2×D4—111no—
1405C2×D4—111no—
1406C2×D4—111no—
1407C2×D4—111no—
1408C2×D4—221no—
1409C2×D4—221no—
1410C2×D4—221no—
1411C2×D4—221no—
1412C2×D4—221no—
1413C2×D4—221no—
1414C2×D4—221no—
1415C2×D4—221no—
1416C2×D4—221no—
1417C2×D4—221no—
1418C2×D4—221no—
1419C2×D4—221no—
1420C2×D4—441no—
1421C2×D4—441no—
1422C2×D4—444no—
1423C2×D4D4×D1111yescharacteristic
1424C2×D4C23×D1111yescharacteristic
1425C2×D4C23×D1111yescharacteristic
1426C2×D4C23×D1111yescharacteristic
1427C22×C4—21no—
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—111no—
1432C22×C4—111no—
1433C22×C4—111no—
1434C22×C4—111no—
1435C22×C4—111no—
1436C22×C4—111no—
1437C22×C4—111no—
1438C22×C4—221no—
1439C22×C4—221no—
1440C22×C4—221no—
1441C22×C4—221no—
1442C22×C4—221no—
1443C22×C4—221no—
1444C22×C4—221no—
1445C22×C4—221no—
1446C22×C4—221no—
1447C22×C4—221no—
1448C22×C4—221no—
1449C22×C4C23×D1111yescharacteristic
1450C22×C4C23×D1111yescharacteristic
1451Q16—22no—
1452Q16—41no—
1453Q16—222no—
1454Q16—222no—
1455Q16—441no—
1456Q16—441no—
1457SD16—22no—
1458SD16—22no—
1459SD16—41no—
1460SD16—41no—
1461SD16—41no—
1462SD16—222no—
1463SD16—441no—
1464SD16—441no—
1465SD16—441no—
1466SD16—441no—
1467SD16—441no—
1468SD16—441no—
1469D8—41no—
1470D8—41no—
1471D8—441no—
1472D8—441no—
1473D8—441no—
1474D8—441no—
1475M16—41no—
1476M16—41no—
1477M16—441no—
1478M16—441no—
1479M16—441no—
1480M16—441no—
1481C2×C8—111no—
1482C2×C8—111no—
1483C2×C8—111no—
1484C2×C8—111no—
1485C2×C8C23×D1111yescharacteristic
1486C2×C8C23×D1111yescharacteristic
1487C2×C8C23×D1111yescharacteristic
1488C2×C8C23×D1111yescharacteristic
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—111no—
1493C4⋊C4—111no—
1494C4⋊C4—111no—
1495C4⋊C4—111no—
1496C4⋊C4—111no—
1497C4⋊C4—111no—
1498C4⋊C4—111no—
1499C4⋊C4—111no—
1500C4⋊C4—111no—
1501C4⋊C4—221no—
1502C4⋊C4—221no—
1503C4⋊C4—221no—
1504C4⋊C4—221no—
1505C4⋊C4—221no—
1506C4⋊C4—221no—
1507C4⋊C4—221no—
1508C4⋊C4—221no—
1509C4⋊C4—221no—
1510C4⋊C4—221no—
1511C4⋊C4—221no—
1512C4⋊C4—221no—
1513C4⋊C4—221no—
1514C4⋊C4—221no—
1515C4⋊C4—221no—
1516C4⋊C4—221no—
1517C4⋊C4—221no—
1518C4⋊C4—221no—
1519C4⋊C4—221no—
1520C4⋊C4—221no—
1521C4⋊C4—221no—
1522C4⋊C4D4×D1111yescharacteristic
1523C4⋊C4C23×D1111yescharacteristic
1524C4⋊C4C23×D1111yescharacteristic
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—111no—
1535C22⋊C4—111no—
1536C22⋊C4—111no—
1537C22⋊C4—111no—
1538C22⋊C4—221no—
1539C22⋊C4—221no—
1540C22⋊C4—221no—
1541C22⋊C4—221no—
1542C22⋊C4—221no—
1543C22⋊C4—221no—
1544C22⋊C4—221no—
1545C22⋊C4—221no—
1546C22⋊C4—221no—
1547C22⋊C4—221no—
1548C22⋊C4—221no—
1549C22⋊C4—221no—
1550C22⋊C4—221no—
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⋊C4D4×D1111yescharacteristic
1569C22⋊C4D4×D1111yescharacteristic
1570C42—21no—
1571C42—111no—
1572C42—111no—
1573C42—111no—
1574C42—111no—
1575C42—111no—
1576C42—111no—
1577C42—111no—
1578C42—111no—
1579C42—111no—
1580C42—221no—
1581C42—221no—
1582C42—221no—
1583C42—221no—
1584C42—221no—
1585C42—221no—
1586C42—221no—
1587C42—221no—
1588C42—221no—
1589C42—221no—
1590C42C23×D1111yescharacteristic
1591C11#6200611yescharacteristic, complemented, Sylow
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—42no—
1596C23—81no—
1597C23—81no—
1598C23—111no—
1599C23—221no—
1600C23—221no—
1601C23—442no—
1602C23—881no—
1603C23—881no—
1604C23C2×D4×D1111yescharacteristic
1605C23C2×D4×D1111yescharacteristic
1606Q8—21no—
1607Q8—21no—
1608Q8—21no—
1609Q8—21no—
1610Q8—21no—
1611Q8—42no—
1612Q8—222no—
1613Q8—221no—
1614Q8—221no—
1615Q8—221no—
1616Q8—221no—
1617Q8—442no—
1618Q8—881no—
1619Q8—881no—
1620Q8#6703712yes—
1621D4—21no—
1622D4—21no—
1623D4—21no—
1624D4—21no—
1625D4—21no—
1626D4—21no—
1627D4—41no—
1628D4—42no—
1629D4—42no—
1630D4—81no—
1631D4—81no—
1632D4—81no—
1633D4—222no—
1634D4—221no—
1635D4—221no—
1636D4—221no—
1637D4—221no—
1638D4—442no—
1639D4—442no—
1640D4—442no—
1641D4—441no—
1642D4—442no—
1643D4—442no—
1644D4—442no—
1645D4—881no—
1646D4—881no—
1647D4—881no—
1648D4—881no—
1649D4—881no—
1650D4—881no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—42no—
1661C2×C4—42no—
1662C2×C4—81no—
1663C2×C4—81no—
1664C2×C4—111no—
1665C2×C4—111no—
1666C2×C4—111no—
1667C2×C4—111no—
1668C2×C4—111no—
1669C2×C4—111no—
1670C2×C4—111no—
1671C2×C4—222no—
1672C2×C4—221no—
1673C2×C4—221no—
1674C2×C4—221no—
1675C2×C4—221no—
1676C2×C4—221no—
1677C2×C4—221no—
1678C2×C4—221no—
1679C2×C4—221no—
1680C2×C4—441no—
1681C2×C4—441no—
1682C2×C4—442no—
1683C2×C4—442no—
1684C2×C4—442no—
1685C2×C4—441no—
1686C2×C4—441no—
1687C2×C4—441no—
1688C2×C4—442no—
1689C2×C4—881no—
1690C2×C4—881no—
1691C2×C4—881no—
1692C2×C4—881no—
1693C2×C4—881no—
1694C2×C4—881no—
1695C2×C4—881no—
1696C2×C4C2×D4×D1111yescharacteristic
1697C2×C4C2×D4×D1111yescharacteristic
1698C2×C4C2×D4×D1111yescharacteristic
1699C2×C4C2×D4×D1111yescharacteristic
1700C2×C4C24×D1111yescharacteristic
1701C8—21no—
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—221no—
1706C8—221no—
1707C8—221no—
1708C8—221no—
1709C22—21no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—21no—
1714C22—21no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—162no—
1725C22—221no—
1726C22—221no—
1727C22—221no—
1728C22—441no—
1729C22—441no—
1730C22—441no—
1731C22—441no—
1732C22—441no—
1733C22—441no—
1734C22—1762no—
1735C22C22×D4×D1111yescharacteristic
1736C4—21no—
1737C4—21no—
1738C4—22no—
1739C4—21no—
1740C4—21no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—112no—
1746C4—221no—
1747C4—221no—
1748C4—221no—
1749C4—221no—
1750C4—221no—
1751C4—221no—
1752C4—441no—
1753C4—441no—
1754C4—441no—
1755C4—441no—
1756C4—441no—
1757C4—441no—
1758C4C2×#6703711yescharacteristic
1759C4#1062345511yescharacteristic
1760C2—41no—
1761C2—41no—
1762C2—81no—
1763C2—81no—
1764C2—81no—
1765C2—441no—
1766C2—881no—
1767C2—881no—
1768C2#1308227611yescharacteristic
1769C2D11×#57511yescharacteristic
1770C2#1308338811yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3275C2
socleC22×C11C23×D4
hypercenter#3275D11
hypocenterC11#62006
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3275

Complements

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

NH ≅ G/Ntype
1. #13082574C2semidirect
2. #13082206C2semidirect
3. #13081623C2semidirect
4. #13081609C2semidirect
5. #13081313C2semidirect
6. #13081296C2semidirect
7. #13080894C2semidirect
8. #13080871C2semidirect
9. #13080862C2semidirect
10. #13080840C2semidirect
11. #13080817C2semidirect
12. #13080812C2semidirect
13. #13080275C2semidirect
14. #13080269C2semidirect
15. #13080267C2semidirect
16. #13080250C2semidirect
17. #13080230C2semidirect
18. #13080018C2semidirect
19. #13080014C2semidirect
20. #13079971C2semidirect
21. #13079584C2semidirect
22. #13079576C2semidirect
23. #13079547C2semidirect
24. #13078691C2semidirect
25. #13078635C2semidirect
26. #13078632C2semidirect
27. #13078108C2semidirect
28. #13078107C2semidirect
29. #13078085C2semidirect
30. #13077744C2semidirect
31. C11×#3275C2semidirect
32. C2×C11×#137C22semidirect
34. C11×#548C22semidirect
39. #41×Dic11C22semidirect
40. C2×#67004C22semidirect
41. #10623348C22semidirect
42. C2×Q8×Dic11C22semidirect
43. C2×#66995C22semidirect
46. C2×#66971C22semidirect
49. #10623212C22semidirect
51. #10623211C22semidirect
61. #10623155C22semidirect
63. #10623149C22semidirect
69. #10623127C22semidirect
72. C4×#4343C22semidirect
73. #10623100C22semidirect
75. #10623096C22semidirect
84. C11×#470C22semidirect
87. C11×#463C22semidirect
88. C11×#452C22semidirect
90. C11×#449C22semidirect
92. C4×C11×SD16C22semidirect
93. C11×#436C22semidirect
95. #10622851C22semidirect
96. #10622845C22semidirect
97. #10622841C22semidirect
100. #10622799C22semidirect
101. #10622798C22semidirect
102. #10622798C22semidirect
103. #10622798C22semidirect
104. Q16×Dic11C22semidirect
105. #10622795C22semidirect
106. #10622795C22semidirect
107. #10622788C22semidirect
110. #10622783C22semidirect
113. #10622781C22semidirect
117. #10622779C22semidirect
118. #10622779C22semidirect
119. #10622779C22semidirect
120. #10622778C22semidirect
125. SD16×Dic11C22semidirect
130. #10622766C22semidirect
131. #10622766C22semidirect
135. #10622747C22semidirect
136. #10622746C22semidirect
138. #10622741C22semidirect
139. #10622733C22semidirect
140. #10622731C22semidirect
141. #10622731C22semidirect
142. #10622672C22semidirect
145. #10622667C22semidirect
146. #10622663C22semidirect
148. #10622662C22semidirect
149. #10622658C22semidirect
150. #10622655C22semidirect
152. #10622650C22semidirect
154. C4×#4326C22semidirect
155. #10622641C22semidirect
156. C4×#4323C22semidirect
157. #10622625C22semidirect
158. #10622622C22semidirect
159. #10622484C22semidirect
160. #10622484C22semidirect
161. #10622480C22semidirect
162. #10622467C22semidirect
163. #10622457C22semidirect
164. #10622450C22semidirect
165. #10622443C22semidirect
166. #10622442C22semidirect
167. #10622432C22semidirect
168. #10622432C22semidirect
169. #10622429C22semidirect
170. #10622423C22semidirect
171. #10622415C22semidirect
172. #10622412C22semidirect
173. #10622412C22semidirect
174. #10622412C22semidirect
175. #10622405C22semidirect
176. #10622403C22semidirect
177. #10622403C22semidirect
178. #10622401C22semidirect
180. #10622400C22semidirect
181. #10622393C22semidirect
185. #10622381C22semidirect
186. #10622379C22semidirect
187. #10622375C22semidirect
190. #10622369C22semidirect
191. #10622351C22semidirect
193. #10622347C22semidirect
195. #10622342C22semidirect
196. #10622334C22semidirect
197. #10622331C22semidirect
198. #10622331C22semidirect
199. #10622310C22semidirect
200. C4×#4314C22semidirect
201. #10622298C22semidirect
202. C8×Dic22C22semidirect
723. #3275D11semidirect
858. C2×#137C2×D11semidirect
880. #548C2×D11semidirect
935. #470C2×D11semidirect
969. #463C2×D11semidirect
977. #452C2×D11semidirect
988. #449C2×D11semidirect
1005. C4×SD16C2×D11semidirect
1013. #436C2×D11semidirect
1591. C11#62006semidirect

Maximal subgroups

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

subgroupindex
#130825742
#130822062
#130816232
#130816092
#130813132
#130812962
#130808942
#130808712
#130808622
#130808402
#130808172
#130808122
#130802752
#130802692
#130802672
#130802502
#130802302
#130800182
#130800142
#130799712
#130795842
#130795762
#130795472
#130786912
#130786352
#130786322
#130781082
#130781072
#130780852
#130777442
C11×#32752
#6200611