Finite Group Databasebeta

← #15631207

Subgroups — #15631207

Order 2816.

2102 conjugacy classes of subgroups.

The subgroup lattice has 1840 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082318C211yesmaximal, characteristic, complemented
2#13082255C211yesmaximal, characteristic, complemented
3#13080931C211yesmaximal, characteristic, complemented
4#13080928C211yesmaximal, characteristic, complemented
5#13080916C211yesmaximal, characteristic, complemented
6#13080834C211yesmaximal, characteristic, complemented
7#13080833C211yesmaximal, characteristic, complemented
8#13080823C211yesmaximal, characteristic, complemented
9#13080822C211yesmaximal, characteristic, complemented
10#13080715C211yesmaximal, characteristic, complemented
11#13080712C211yesmaximal, characteristic, complemented
12#13080695C211yesmaximal, characteristic, complemented
13#13080694C211yesmaximal, characteristic, complemented
14#13080599C211yesmaximal, characteristic, complemented
15#13080596C211yesmaximal, characteristic, complemented
16#13080571C211yesmaximal, characteristic, complemented
17#13080570C211yesmaximal, characteristic, complemented
18#13078976C211yesmaximal, characteristic, complemented
19#13078584C211yesmaximal, characteristic, complemented
20#13078543C211yesmaximal, characteristic, complemented
21#13078440C211yesmaximal, characteristic, complemented
22#13078302C211yesmaximal, characteristic, complemented
23#13078220C211yesmaximal, characteristic, complemented
24#13078161C211yesmaximal, characteristic, complemented
25#13077918C211yesmaximal, characteristic, complemented
26#13077854C211yesmaximal, characteristic, complemented
27#13077441C211yesmaximal, characteristic, complemented
28#13077316C211yesmaximal, characteristic, complemented
29#13077140C211yesmaximal, characteristic, complemented
30D11×#417C211yesmaximal, characteristic, complemented
31C11×#3330C211yesmaximal, characteristic, complemented
32C2×#67042C2211yescharacteristic
33C2×#41×D11C2211yescharacteristic
34C11×#547C2211yescharacteristic
35C11×#547C2211yescharacteristic, complemented
36#10623360C2211yescharacteristic
37#10623359—21no—
38#10623355—21no—
39#10623355C2211yescharacteristic
40C2×#66969C2211yescharacteristic
41C2×#66968C2211yescharacteristic, complemented
42C2×#66964C2211yescharacteristic
43C2×#66960C2211yescharacteristic
44C2×M16×D11C2211yescharacteristic, complemented
45#10623261C2211yescharacteristic, complemented
46#10623260C2211yescharacteristic, complemented
47#10623257C2211yescharacteristic
48#10623255C2211yescharacteristic
49#10623192—21no—
50#10623191—21no—
51#10623187—21no—
52#10623186—21no—
53#10623185—21no—
54#10623184—21no—
55D11×#123—21no—
56#10623181—21no—
57#10623169—21no—
58#10623167—21no—
59#10623162C2211yescharacteristic
60#10623161C2211yescharacteristic
61#10623159C2211yescharacteristic
62#10623158C2211yescharacteristic
63#10623145C2211yescharacteristic, complemented
64#10623142C2211yescharacteristic, complemented
65#10623141—21no—
66#10623139C2211yescharacteristic
67#10623137C2211yescharacteristic, complemented
68#10623136—21no—
69#10623089C2211yescharacteristic, complemented
70#10623085C2211yescharacteristic
71#10623081C2211yescharacteristic
72#10623078C2211yescharacteristic
73#10623077C2211yescharacteristic, complemented
74#10623076C2211yescharacteristic
75#10623072C2211yescharacteristic, complemented
76#10623044C2211yescharacteristic, complemented
77#10623042C2211yescharacteristic, complemented
78#10623038—21no—
79C2×#66947—21no—
80#10623035C2211yescharacteristic
81C2×C4⋊C4×D11C2211yescharacteristic, complemented
82C11×#487C2211yescharacteristic, complemented
83C11×#484C2211yescharacteristic, complemented
84C11×#484C2211yescharacteristic, complemented
85C11×#474C2211yescharacteristic, complemented
86C11×#468C2211yescharacteristic, complemented
87C11×#468C2211yescharacteristic, complemented
88C11×#461C2211yescharacteristic, complemented
89C11×#449C2211yescharacteristic, complemented
90C11×#449C2211yescharacteristic, complemented
91C4×C11×D8C2211yescharacteristic, complemented
92C11×#436C2211yescharacteristic, complemented
93C11×#417C2211yescharacteristic, complemented
94C11×#417C2211yescharacteristic, complemented
95#10622852C2211yescharacteristic, complemented
96#10622852C2211yescharacteristic, complemented
97#10622846C2211yescharacteristic, complemented
98#10622845C2211yescharacteristic, complemented
99#10622787C2211yescharacteristic, complemented
100#10622785C2211yescharacteristic, complemented
101#10622785C2211yescharacteristic, complemented
102#10622784C2211yescharacteristic, complemented
103#10622778C2211yescharacteristic, complemented
104#10622775C2211yescharacteristic, complemented
105#10622771C2211yescharacteristic, complemented
106#10622769C2211yescharacteristic, complemented
107#10622765C2211yescharacteristic, complemented
108#10622750C2211yescharacteristic, complemented
109#10622747C2211yescharacteristic, complemented
110#10622746C2211yescharacteristic, complemented
111#10622744C2211yescharacteristic, complemented
112#10622741C2211yescharacteristic, complemented
113#10622741C2211yescharacteristic, complemented
114#10622703C2211yescharacteristic, complemented
115#10622702C2211yescharacteristic, complemented
116#10622697C2211yescharacteristic, complemented
117#10622695C2211yescharacteristic, complemented
118#10622665C2211yescharacteristic, complemented
119#10622664C2211yescharacteristic, complemented
120#10622658C2211yescharacteristic, complemented
121#10622657C2211yescharacteristic, complemented
122#10622654C2211yescharacteristic, complemented
123#10622652C2211yescharacteristic, complemented
124#10622650C2211yescharacteristic, complemented
125#10622649C2211yescharacteristic, complemented
126#10622631C2211yescharacteristic, complemented
127#10622629C2211yescharacteristic, complemented
128#10622627C2211yescharacteristic, complemented
129#10622624C2211yescharacteristic, complemented
130#10622622C2211yescharacteristic, complemented
131#10622584C2211yescharacteristic, complemented
132#10622581C2211yescharacteristic, complemented
133#10622579C2211yescharacteristic, complemented
134C2×#66873C2211yescharacteristic, complemented
135#10622504C2211yescharacteristic, complemented
136#10622503C2211yescharacteristic, complemented
137#10622502C2211yescharacteristic, complemented
138#10622501C2211yescharacteristic, complemented
139#10622500C2211yescharacteristic, complemented
140#10622499C2211yescharacteristic, complemented
141#10622497C2211yescharacteristic, complemented
142#10622495C2211yescharacteristic, complemented
143#10622495C2211yescharacteristic, complemented
144#10622494C2211yescharacteristic, complemented
145#10622494C2211yescharacteristic, complemented
146#10622493C2211yescharacteristic, complemented
147#10622460C2211yescharacteristic, complemented
148#10622458C2211yescharacteristic, complemented
149#10622452C2211yescharacteristic, complemented
150#10622449C2211yescharacteristic, complemented
151#10622429C2211yescharacteristic, complemented
152#10622429C2211yescharacteristic, complemented
153#10622427C2211yescharacteristic, complemented
154#10622423C2211yescharacteristic, complemented
155#10622423C2211yescharacteristic, complemented
156#10622418C2211yescharacteristic, complemented
157#10622418C2211yescharacteristic, complemented
158#10622418C2211yescharacteristic, complemented
159#10622417C2211yescharacteristic
160#10622417C2211yescharacteristic, complemented
161#10622416C2211yescharacteristic
162#10622416C2211yescharacteristic
163#10622416C2211yescharacteristic, complemented
164#10622416C2211yescharacteristic, complemented
165#10622416C2211yescharacteristic, complemented
166#10622415C2211yescharacteristic, complemented
167D11×#103C2211yescharacteristic, complemented
168D11×#103C2211yescharacteristic, complemented
169#10622413C2211yescharacteristic, complemented
170#10622411C2211yescharacteristic, complemented
171#10622410C2211yescharacteristic, complemented
172#10622408C2211yescharacteristic, complemented
173#10622406C2211yescharacteristic, complemented
174#10622405C2211yescharacteristic, complemented
175#10622396C2211yescharacteristic, complemented
176#10622395C2211yescharacteristic, complemented
177#10622393C2211yescharacteristic, complemented
178#10622389C2211yescharacteristic, complemented
179#10622385C2211yescharacteristic, complemented
180#10622384C2211yescharacteristic, complemented
181#10622384C2211yescharacteristic, complemented
182#10622383C2211yescharacteristic
183#10622383C2211yescharacteristic, complemented
184D11×#102C2211yescharacteristic
185D11×#102C2211yescharacteristic
186D11×#102C2211yescharacteristic, complemented
187#10622379C2211yescharacteristic, complemented
188#10622374C2211yescharacteristic, complemented
189#10622371C2211yescharacteristic, complemented
190#10622369C2211yescharacteristic, complemented
191#10622348C2211yescharacteristic, complemented
192#10622346C2211yescharacteristic, complemented
193#10622344C2211yescharacteristic, complemented
194#10622343C2211yescharacteristic, complemented
195#10622341C2211yescharacteristic, complemented
196#10622340C2211yescharacteristic
197#10622339C2211yescharacteristic, complemented
198#10622336C2211yescharacteristic, complemented
199#10622310C2211yescharacteristic, complemented
200C4×#4314C2211yescharacteristic, complemented
201#10622302C2211yescharacteristic, complemented
202#10622301C2211yescharacteristic, complemented
203C2×C11×#41—21no—
204C2×C11×#41C2311yescharacteristic
205C2×C11×#41C2311yescharacteristic
206#67042—24no—
207#67042—42no—
208#41×D11—24no—
209#41×D11—42no—
210C2×#4343C2311yescharacteristic
211C2×#4343C2311yescharacteristic
212C2×#4343C2311yescharacteristic
213C2×Q8×D11C2311yescharacteristic
214C2×#4341—21no—
215C2×#4341—21no—
216C2×#4341C2311yescharacteristic
217C2×#4341C2311yescharacteristic
218C2×D4×D11—21no—
219C2×D4×D11—21no—
220C2×D4×D11—21no—
221C2×D4×D11C2311yescharacteristic
222C2×D4×D11C2311yescharacteristic
223C2×#4339—21no—
224C2×#4339—21no—
225C2×#4339C2311yescharacteristic
226C2×#4339C2311yescharacteristic
227C22×D44—21no—
228C22×D44C2311yescharacteristic
229C22×C4×D11—21no—
230C22×C4×D11—21no—
231C22×C4×D11C2311yescharacteristic
232C2×C11×SD16C2311yescharacteristic
233C2×C11×SD16C2311yescharacteristic
234C2×C11×D8C2311yescharacteristic
235C2×C11×M16C2311yescharacteristic
236C2×C11×M16C2311yescharacteristic
237C11×C4⋊Q8C2311yescharacteristic
238C11×C4⋊Q8C2311yescharacteristic
239C11×#123—21no—
240C11×#123—21no—
241C11×#123—21no—
242C11×#123—21no—
243C11×C22⋊Q8—21no—
244C11×C22⋊Q8C2311yescharacteristic
245C11×C22⋊Q8C2311yescharacteristic
246C11×#121—21no—
247C11×#121C2311yescharacteristic
248C11×#121C2311yescharacteristic
249C4×D4×C11C2311yescharacteristic
250C4×D4×C11C2311yescharacteristic
251C4×D4×C11C2311yescharacteristic
252C2×C11×C4⋊C4—21no—
253C2×C11×C4⋊C4C2311yescharacteristic
254C2×C11×C4⋊C4C2311yescharacteristic
255#67000C2311yescharacteristic
256#66999—21no—
257#66999—21no—
258#66999—21no—
259#66999C2311yescharacteristic
260#66999C2311yescharacteristic
261#66997—21no—
262#66997C2311yescharacteristic
263C2×#4326C2311yescharacteristic
264C2×#4326C2311yescharacteristic
265#66992—21no—
266#66992—21no—
267#66992—21no—
268#66992D411yescharacteristic
269#66991—21no—
270#66991—21no—
271#66991C2311yescharacteristic
272#66991C2311yescharacteristic
273#66990—21no—
274#66990—21no—
275#66990—21no—
276#66990D411yescharacteristic
277#66988—21no—
278#66988—21no—
279#66988—21no—
280#66988—21no—
281D4×Dic11—21no—
282D4×Dic11C2311yescharacteristic
283D4×Dic11C2311yescharacteristic
284C2×#4324C2311yescharacteristic
285C2×#4324C2311yescharacteristic
286C2×#4323C2311yescharacteristic
287C2×#4323C2311yescharacteristic
288#66983—21no—
289#66983C2311yescharacteristic
290#66982—21no—
291#66982—21no—
292#66982—21no—
293#66982—21no—
294C4×C22⋊D11—21no—
295C4×C22⋊D11—21no—
296C4×C22⋊D11—21no—
297C4×C22⋊D11—21no—
298C4×C22⋊D11—21no—
299C4×C22⋊D11—21no—
300C4×C22⋊D11C2311yescharacteristic
301C4×C22⋊D11C2311yescharacteristic
302C2×(C2×D11)⋊C4—21no—
303C2×(C2×D11)⋊C4—21no—
304C2×(C2×D11)⋊C4—21no—
305#66979—21no—
306#66979C2311yescharacteristic
307C2×C4⋊Dic11C2311yescharacteristic
308#66977—21no—
309#66977C2311yescharacteristic
310#66977C2311yescharacteristic
311#66977C2311yescharacteristic
312C2×Dic11⋊C4—21no—
313C2×Dic11⋊C4—21no—
314C2×Dic11⋊C4—21no—
315C2×#4318C2311yescharacteristic
316C22×C11⋊C8C2311yescharacteristic
317#66969—42no—
318#66968—42no—
319#66964—24no—
320#66960—42no—
321M16×D11—42no—
322C2×Dic44C2311yescharacteristic
323C2×#4314C2311yescharacteristic
324C2×#4314C2311yescharacteristic
325C2×#4313C2311yescharacteristic
326C2×#4313C2311yescharacteristic
327C2×#4313C2311yescharacteristic
328C2×#4313C2311yescharacteristic
329C2×#4313C2311yescharacteristic
330C2×C8×D11C2311yescharacteristic
331C2×C8×D11C2311yescharacteristic
332C2×C8×D11C2311yescharacteristic
333#66951—21no—
334#66950C2311yescharacteristic
335#66950C2311yescharacteristic
336#66950C2311yescharacteristic
337#66949—21no—
338#66949—21no—
339#66949—21no—
340#66949—21no—
341#66949D411yescharacteristic
342#66948—21no—
343#66948—21no—
344#66948C2311yescharacteristic
345#66947—21no—
346#66947—21no—
347#66947—21no—
348#66947—21no—
349#66947—21no—
350#66947—21no—
351#66947—21no—
352#66947—21no—
353#66947—21no—
354#66947D411yescharacteristic
355#66946—21no—
356#66946—21no—
357#66946—21no—
358#66946C2311yescharacteristic
359#66945C2311yescharacteristic
360#66945C2311yescharacteristic
361#66945C2311yescharacteristic
362C4⋊C4×D11—21no—
363C4⋊C4×D11—21no—
364C4⋊C4×D11—21no—
365C4⋊C4×D11—21no—
366C4⋊C4×D11C2311yescharacteristic
367C4⋊C4×D11C2311yescharacteristic
368C4⋊C4×D11C2311yescharacteristic
369C4⋊C4×D11C2311yescharacteristic
370C4⋊C4×D11C2311yescharacteristic
371#66943—21no—
372#66943C2311yescharacteristic
373#66942—21no—
374#66942—21no—
375#66942—21no—
376#66942—21no—
377#66941—21no—
378#66941C2311yescharacteristic
379#66940—21no—
380#66940C2311yescharacteristic
381#66939—21no—
382#66938—21no—
383#66937—21no—
384#66937—21no—
385#66937—21no—
386#66937—21no—
387#66937D411yescharacteristic
388#66936—21no—
389#66936—21no—
390#66936—21no—
391#66936—21no—
392#66936D411yescharacteristic
393#66935—21no—
394#66935—21no—
395#66935—21no—
396#66935D411yescharacteristic
397(C22⋊D11)⋊C4—21no—
398(C22⋊D11)⋊C4—21no—
399(C22⋊D11)⋊C4—21no—
400(C22⋊D11)⋊C4—21no—
401(C22⋊D11)⋊C4—21no—
402C22⋊C4×D11—21no—
403C22⋊C4×D11—21no—
404C22⋊C4×D11—21no—
405#66932—21no—
406#66932—21no—
407#66932—21no—
408#66931—21no—
409#66931—21no—
410#66931D411yescharacteristic
411#66930—21no—
412#66930—21no—
413#66928C2311yescharacteristic
414C4×D44C2311yescharacteristic
415C4×D44C2311yescharacteristic
416#66925C2311yescharacteristic
417#66923C2311yescharacteristic
418C4×Dic22C2311yescharacteristic
419C11×#107C2311yescharacteristic
420C11×#107C2311yescharacteristic
421C11×#107C2311yescharacteristic
422C11×C4⋊C8C2311yescharacteristic
423C11×#103C2311yescharacteristic
424C11×#103C2311yescharacteristic
425C11×#103C2311yescharacteristic
426C11×#103C2311yescharacteristic
427C11×#103C2311yescharacteristic
428C11×#103C2311yescharacteristic
429C11×#102C2311yescharacteristic
430C11×#102C2311yescharacteristic
431C11×#102C2311yescharacteristic
432C11×#102C2311yescharacteristic
433C11×C22⋊C8C2311yescharacteristic
434C11×C22⋊C8C2311yescharacteristic
435C4×C8×C11C2311yescharacteristic
436#66899C2311yescharacteristic
437#66899C2311yescharacteristic
438#66899C2311yescharacteristic
439#66899C2311yescharacteristic
440#66899C2311yescharacteristic
441#66899C2311yescharacteristic
442#66896C2311yescharacteristic
443#66896C2311yescharacteristic
444#66896C2311yescharacteristic
445#66896C2311yescharacteristic
446C22⋊(C11⋊C8)C2311yescharacteristic
447C22⋊(C11⋊C8)C2311yescharacteristic
448#66885C2311yescharacteristic
449#66885C2311yescharacteristic
450#66885C2311yescharacteristic
451#66885C2311yescharacteristic
452#66885C2311yescharacteristic
453#66885C2311yescharacteristic
454(C2×D11)⋊C8C2311yescharacteristic
455(C2×D11)⋊C8C2311yescharacteristic
456(C2×D11)⋊C8C2311yescharacteristic
457(C2×D11)⋊C8C2311yescharacteristic
458#66882C2311yescharacteristic
459#66881C2311yescharacteristic
460#66881C2311yescharacteristic
461#66880C2311yescharacteristic
462#66880C2311yescharacteristic
463#66880C2311yescharacteristic
464#66880C2311yescharacteristic
465#66879C2311yescharacteristic
466Dic11⋊C8C2311yescharacteristic
467Dic11⋊C8C2311yescharacteristic
468C8×Dic11C2311yescharacteristic
469#66874C2311yescharacteristic
470#66874C2311yescharacteristic
471#66874C2311yescharacteristic
472#66874C2311yescharacteristic
473#66873C2311yescharacteristic
474#66873C2311yescharacteristic
475#66873C2311yescharacteristic
476#66873C2311yescharacteristic
477#66873C2311yescharacteristic
478#66873C2311yescharacteristic
479#66872C2311yescharacteristic
480#66872C2311yescharacteristic
481#66872C2311yescharacteristic
482#66872C2311yescharacteristic
483#66871C2311yescharacteristic
484#66871C2311yescharacteristic
485C4⋊(C11⋊C8)C2311yescharacteristic
486#66867C2311yescharacteristic
487#61177—111nomaximal, Sylow
488C23×D11—21no—
489C23×D11—21no—
490C23×D11—21no—
491C23×D11C2×D411yescharacteristic
492C11×#41—22no—
493C11×#41—22no—
494C11×#41—41no—
495C11×#41—41no—
496C11×#41—82no—
497C2×Q8×C11—21no—
498C2×Q8×C11C2411yescharacteristic
499C2×Q8×C11C2411yescharacteristic
500C2×D4×C11—21no—
501C2×D4×C11—21no—
502C2×D4×C11—21no—
503C2×D4×C11—21no—
504C2×D4×C11C2×D411yescharacteristic
505C2×D4×C11C2411yescharacteristic
506C2×D4×C11C2411yescharacteristic
507C22×C4×C11—21no—
508C22×C4×C11—21no—
509C22×C4×C11—21no—
510C22×C4×C11—21no—
511C22×C4×C11—21no—
512C22×C4×C11—21no—
513C22×C4×C11C2411yescharacteristic
514C22×C4×C11C2411yescharacteristic
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⋊D11C2×D411yescharacteristic
524C2×C22⋊D11C2×D411yescharacteristic
525C2×C22⋊D11C2×D411yescharacteristic
526C2×C22⋊D11C2×D411yescharacteristic
527C22×Dic11—21no—
528C22×Dic11—21no—
529C22×Dic11—21no—
530C22×Dic11—21no—
531C22×Dic11—21no—
532C22×Dic11C2×D411yescharacteristic
533#4343—22no—
534#4343—22no—
535#4343—22no—
536#4343—22no—
537#4343—41no—
538#4343—41no—
539Q8×D11—22no—
540Q8×D11—22no—
541#4341—22no—
542#4341—22no—
543#4341—22no—
544#4341—41no—
545#4341—44no—
546#4341—82no—
547D4×D11—22no—
548D4×D11—22no—
549D4×D11—41no—
550D4×D11—44no—
551D4×D11—44no—
552D4×D11—44no—
553D4×D11#4114yescomplemented
554#4339—22no—
555#4339—22no—
556#4339—22no—
557#4339—41no—
558#4339—44no—
559#4339—44no—
560C2×D44—21no—
561C2×D44—21no—
562C2×D44—21no—
563C2×D44—21no—
564C2×D44—22no—
565C2×D44—21no—
566C2×D44—41no—
567C2×D44—44no—
568C2×D44C2×D411yescharacteristic
569C2×D44C2×D411yescharacteristic
570C2×D44C2411yescharacteristic
571C2×D44C2411yescharacteristic
572C2×C4×D11—22no—
573C2×C4×D11—22no—
574C2×C4×D11—21no—
575C2×C4×D11—21no—
576C2×C4×D11—21no—
577C2×C4×D11—21no—
578C2×C4×D11—21no—
579C2×C4×D11—21no—
580C2×C4×D11—21no—
581C2×C4×D11—21no—
582C2×C4×D11—21no—
583C2×C4×D11—21no—
584C2×C4×D11—21no—
585C2×C4×D11—21no—
586C2×C4×D11—44no—
587C2×C4×D11—82no—
588C2×C4×D11C2×D411yescharacteristic
589C2×C4×D11C2×D411yescharacteristic
590C2×C4×D11C2411yescharacteristic
591C2×C4×D11C2411yescharacteristic
592C2×C4×D11C2411yescharacteristic
593C2×Dic22—21no—
594C2×Dic22—21no—
595C2×Dic22C2×D411yescharacteristic
596C2×Dic22C2411yescharacteristic
597C2×Dic22C2411yescharacteristic
598C11×SD16—41no—
599C11×SD16—41no—
600C11×D8—22no—
601C11×M16—41no—
602C11×M16—41no—
603C2×C8×C11C2411yescharacteristic
604C2×C8×C11C2411yescharacteristic
605C2×C8×C11C2411yescharacteristic
606C2×C8×C11C2411yescharacteristic
607C11×C4⋊C4—21no—
608C11×C4⋊C4—21no—
609C11×C4⋊C4—21no—
610C11×C4⋊C4—21no—
611C11×C4⋊C4—21no—
612C11×C4⋊C4—21no—
613C11×C4⋊C4—21no—
614C11×C4⋊C4C2×D411yescharacteristic
615C11×C4⋊C4C2411yescharacteristic
616C11×C4⋊C4C2411yescharacteristic
617C11×C4⋊C4C2411yescharacteristic
618C11×C4⋊C4C2411yescharacteristic
619C11×C22⋊C4—21no—
620C11×C22⋊C4—21no—
621C11×C22⋊C4—21no—
622C11×C22⋊C4—21no—
623C11×C22⋊C4—21no—
624C11×C22⋊C4—21no—
625C11×C22⋊C4C2×D411yescharacteristic
626C11×C22⋊C4C2×D411yescharacteristic
627C42×C11C2411yescharacteristic
628C22⋊Dic11—21no—
629C22⋊Dic11—21no—
630C22⋊Dic11—21no—
631C22⋊Dic11—21no—
632C22⋊Dic11—21no—
633C22⋊Dic11—21no—
634C22⋊Dic11—21no—
635C22⋊Dic11—21no—
636C22⋊Dic11C2×D411yescharacteristic
637C22⋊Dic11C2×D411yescharacteristic
638#4326—41no—
639#4326—41no—
640#4324—22no—
641#4324—41no—
642#4323—22no—
643#4323—41no—
644(C2×D11)⋊C4—21no—
645(C2×D11)⋊C4—21no—
646(C2×D11)⋊C4—21no—
647(C2×D11)⋊C4—21no—
648(C2×D11)⋊C4—21no—
649(C2×D11)⋊C4—21no—
650(C2×D11)⋊C4—21no—
651(C2×D11)⋊C4—21no—
652(C2×D11)⋊C4—21no—
653(C2×D11)⋊C4—21no—
654(C2×D11)⋊C4—21no—
655(C2×D11)⋊C4—21no—
656(C2×D11)⋊C4—21no—
657(C2×D11)⋊C4—21no—
658(C2×D11)⋊C4—21no—
659(C2×D11)⋊C4—21no—
660(C2×D11)⋊C4C2×D411yescharacteristic
661(C2×D11)⋊C4C2×D411yescharacteristic
662(C2×D11)⋊C4C2×D411yescharacteristic
663(C2×D11)⋊C4C2×D411yescharacteristic
664(C2×D11)⋊C4C2×D411yescharacteristic
665(C2×D11)⋊C4C2×D411yescharacteristic
666C4⋊Dic11—21no—
667C4⋊Dic11—21no—
668C4⋊Dic11—21no—
669C4⋊Dic11—21no—
670C4⋊Dic11—21no—
671C4⋊Dic11C2×D411yescharacteristic
672C4⋊Dic11C2411yescharacteristic
673C4⋊Dic11C2411yescharacteristic
674C4⋊Dic11C2411yescharacteristic
675C4⋊Dic11C2411yescharacteristic
676Dic11⋊C4—21no—
677Dic11⋊C4—21no—
678Dic11⋊C4—21no—
679Dic11⋊C4—21no—
680Dic11⋊C4—21no—
681Dic11⋊C4—21no—
682Dic11⋊C4—21no—
683Dic11⋊C4—21no—
684Dic11⋊C4—21no—
685Dic11⋊C4—21no—
686Dic11⋊C4—21no—
687Dic11⋊C4—21no—
688Dic11⋊C4—21no—
689Dic11⋊C4—21no—
690Dic11⋊C4—21no—
691Dic11⋊C4—21no—
692Dic11⋊C4—21no—
693Dic11⋊C4—21no—
694Dic11⋊C4C2×D411yescharacteristic
695Dic11⋊C4C2×D411yescharacteristic
696Dic11⋊C4C2×D411yescharacteristic
697Dic11⋊C4C2×D411yescharacteristic
698C4×Dic11—21no—
699C4×Dic11—21no—
700C4×Dic11—21no—
701C4×Dic11—21no—
702C4×Dic11—21no—
703C4×Dic11—21no—
704C4×Dic11C2411yescharacteristic
705#4318—41no—
706C2×C11⋊C8—41no—
707C2×C11⋊C8C2411yescharacteristic
708C2×C11⋊C8C2411yescharacteristic
709C2×C11⋊C8C2411yescharacteristic
710C2×C11⋊C8C2411yescharacteristic
711Dic44—41no—
712#4314—22no—
713#4314—41no—
714#4313—22no—
715#4313—22no—
716#4313—41no—
717#4313—41no—
718#4313—41no—
719C8×D11—22no—
720C8×D11—22no—
721C8×D11—41no—
722#3492—111no—
723#3485—111no—
724#3331—111no—
725#3331—111no—
726#3330—111no—
727#3330D1111yescharacteristic, complemented
728#3323—111no—
729#3323—111no—
730#3322—111no—
731#3322—111no—
732#3315—111no—
733#3315—111no—
734#3314—111no—
735#3314—111no—
736#3307—111no—
737#3307—111no—
738#3306—111no—
739#3306—111no—
740#3137—111no—
741#3097—111no—
742#3092—111no—
743#3081—111no—
744#3063—111no—
745#3054—111no—
746#3046—111no—
747#3012—111no—
748#3005—111no—
749#2946—111no—
750#2930—111no—
751#2897—111no—
752C2×#417—111no—
753C23×C11—21no—
754C23×C11—21no—
755C23×C11C22×D411yescharacteristic
756C23×C11C22×D411yescharacteristic
757C22×D11—21no—
758C22×D11—22no—
759C22×D11—24no—
760C22×D11—21no—
761C22×D11—41no—
762C22×D11—41no—
763C22×D11—42no—
764C22×D11—42no—
765C22×D11—81no—
766C22×D11—81no—
767C22×D11—81no—
768C22×D11—81no—
769C22×D11—81no—
770C22×D11—81no—
771C22×D11C22×D411yescharacteristic
772C22×D11C22×D411yescharacteristic
773C22×D11C22×D411yescharacteristic
774Q8×C11—21no—
775Q8×C11—21no—
776Q8×C11—21no—
777Q8×C11—21no—
778Q8×C11—81no—
779D4×C11—21no—
780D4×C11—21no—
781D4×C11—21no—
782D4×C11—41no—
783D4×C11—42no—
784D4×C11—42no—
785D4×C11—42no—
786D4×C11—81no—
787D4×C11C2×#4112yes—
788C2×C4×C11—21no—
789C2×C4×C11—21no—
790C2×C4×C11—21no—
791C2×C4×C11—21no—
792C2×C4×C11—21no—
793C2×C4×C11—21no—
794C2×C4×C11—21no—
795C2×C4×C11—21no—
796C2×C4×C11—21no—
797C2×C4×C11—21no—
798C2×C4×C11—42no—
799C2×C4×C11—42no—
800C2×C4×C11—42no—
801C2×C4×C11—81no—
802C2×C4×C11—81no—
803C2×C4×C11—81no—
804C2×C4×C11C22×D411yescharacteristic
805C2×C4×C11C22×D411yescharacteristic
806C2×C4×C11C22×D411yescharacteristic
807C2×C4×C11C22×D411yescharacteristic
808C2×C4×C11C2511yescharacteristic
809C22⋊D11—22no—
810C22⋊D11—22no—
811C22⋊D11—24no—
812C22⋊D11—41no—
813C22⋊D11—41no—
814C22⋊D11—42no—
815C22⋊D11—42no—
816C22⋊D11—42no—
817C22⋊D11—42no—
818C22⋊D11—42no—
819C22⋊D11—81no—
820C22⋊D11—81no—
821C2×Dic11—22no—
822C2×Dic11—21no—
823C2×Dic11—21no—
824C2×Dic11—21no—
825C2×Dic11—21no—
826C2×Dic11—21no—
827C2×Dic11—21no—
828C2×Dic11—42no—
829C2×Dic11—42no—
830C2×Dic11—42no—
831C2×Dic11—81no—
832C2×Dic11—81no—
833C2×Dic11C22×D411yescharacteristic
834C2×Dic11C22×D411yescharacteristic
835C2×Dic11C22×D411yescharacteristic
836C2×Dic11C22×D411yescharacteristic
837C2×Dic11C22×D411yescharacteristic
838D44—22no—
839D44—21no—
840D44—21no—
841D44—21no—
842D44—41no—
843D44—42no—
844D44—42no—
845D44—42no—
846D44—42no—
847D44—81no—
848D44C2×#4112yes—
849C4×D11—22no—
850C4×D11—21no—
851C4×D11—21no—
852C4×D11—21no—
853C4×D11—21no—
854C4×D11—22no—
855C4×D11—42no—
856C4×D11—42no—
857C4×D11—42no—
858C4×D11—42no—
859C4×D11—42no—
860C4×D11—81no—
861C4×D11—81no—
862C4×D11—81no—
863C4×D11—81no—
864C4×D11—81no—
865C4×D11—81no—
866C4×D11—81no—
867C4×D11C2×#4112yes—
868C4×D11H(5,𝔽2)12yes—
869Dic22—22no—
870Dic22—21no—
871Dic22—21no—
872Dic22—21no—
873Dic22—21no—
874Dic22—42no—
875Dic22—81no—
876C8×C11—21no—
877C8×C11—21no—
878C8×C11—21no—
879C8×C11—21no—
880C11⋊C8—21no—
881C11⋊C8—21no—
882C11⋊C8—21no—
883C11⋊C8—21no—
884C2×H(5,𝔽2)—111no—
885C22×#41—111no—
886C2×#137—111no—
887C2×AGL(1,ℤ/8)—111no—
888C2×#135—111no—
889C2×#131—111no—
890C22×M16—111no—
891#554—111no—
892#554—111no—
893#554—221no—
894#553—111no—
895#553—111no—
896#553—221no—
897#552—111no—
898#552—111no—
899#552—221no—
900#547—111no—
901#547—111no—
902#547—111no—
903#547—111no—
904#547—221no—
905#547—221no—
906#547—221no—
907#547C2×D1111yescharacteristic
908#547C2×D1111yescharacteristic, complemented
909#546—111no—
910#546—111no—
911#546—111no—
912#546—111no—
913#546—221no—
914#546—221no—
915#544—111no—
916#539—221no—
917#539—221no—
918#537—111no—
919#536—111no—
920#536—111no—
921#534—221no—
922#534—221no—
923#525—111no—
924#525—111no—
925#525—111no—
926#525—221no—
927#525—221no—
928C2×#123—221no—
929C2×#123—221no—
930#520—111no—
931#520—111no—
932#518—111no—
933C22×C4⋊C4—111no—
934#491—111no—
935#491—111no—
936#489—111no—
937#489—111no—
938#488—111no—
939#488—111no—
940#487—111no—
941#487C2×D1111yescharacteristic, complemented
942#485—111no—
943#485—111no—
944#485—111no—
945#485—111no—
946#484—111no—
947#484—111no—
948#484C2×D1111yescharacteristic, complemented
949#484C2×D1111yescharacteristic, complemented
950#483—111no—
951#483—111no—
952#483—111no—
953#483—111no—
954#481—111no—
955#481—111no—
956#480—111no—
957#480—111no—
958#478—111no—
959#478—111no—
960#478—111no—
961#478—111no—
962#476—111no—
963#476—111no—
964#474—111no—
965#474C2×D1111yescharacteristic, complemented
966#470—111no—
967#470—111no—
968#470—111no—
969#470—111no—
970#469—111no—
971#469—111no—
972#468—111no—
973#468—111no—
974#468—111no—
975#468—111no—
976#468C2×D1111yescharacteristic, complemented
977#468C2×D1111yescharacteristic, complemented
978#467—111no—
979#467—111no—
980#465—111no—
981#465—111no—
982#464—111no—
983#464—111no—
984#463—111no—
985#463—111no—
986#462—111no—
987#462—111no—
988#461—111no—
989#461C2×D1111yescharacteristic, complemented
990#452—111no—
991#452—111no—
992#452—111no—
993#452—111no—
994#452—111no—
995#452—111no—
996#450—111no—
997#450—111no—
998#449—111no—
999#449—111no—
1000#449—111no—
1001#449—111no—
1002#449C2×D1111yescharacteristic, complemented
1003#449C2×D1111yescharacteristic, complemented
1004#447—111no—
1005#447—111no—
1006#442—111no—
1007#442—111no—
1008#440—111no—
1009#440—111no—
1010C4×SD16—111no—
1011C4×SD16—111no—
1012C4×D8—111no—
1013C4×D8C2×D1111yescharacteristic, complemented
1014#436—111no—
1015#436—111no—
1016#436—111no—
1017#436C2×D1111yescharacteristic, complemented
1018#435—111no—
1019#435—111no—
1020#435—111no—
1021#435—111no—
1022#428—111no—
1023#428—111no—
1024#427—111no—
1025#424—111no—
1026#419—111no—
1027#418—111no—
1028#418—111no—
1029#418—111no—
1030#417—111no—
1031#417—111no—
1032#417—111no—
1033#417—111no—
1034#417—111no—
1035#417—111no—
1036#417—111no—
1037#417—111no—
1038#417—111no—
1039#417—111no—
1040#417C2×D1111yescharacteristic, complemented
1041#417C2×D1111yescharacteristic, complemented
1042#416—111no—
1043#416—111no—
1044#416—111no—
1045#416—111no—
1046C2×#103—111no—
1047C2×#103—111no—
1048C2×#102—111no—
1049C2×#102—111no—
1050C2×#102—111no—
1051C2×#102—111no—
1052#408—111no—
1053#407—111no—
1054#405—111no—
1055C22×C11—21no—
1056C22×C11—21no—
1057C22×C11—21no—
1058C22×C11—21no—
1059C22×C11—21no—
1060C22×C11—21no—
1061C22×C11—22no—
1062C22×C11—41no—
1063C22×C11—41no—
1064C22×C11—41no—
1065C22×C11—41no—
1066C22×C11—41no—
1067C22×C11C23×D411yescharacteristic
1068C2×D11—21no—
1069C2×D11—21no—
1070C2×D11—21no—
1071C2×D11—21no—
1072C2×D11—21no—
1073C2×D11—21no—
1074C2×D11—22no—
1075C2×D11—21no—
1076C2×D11—21no—
1077C2×D11—44no—
1078C2×D11—41no—
1079C2×D11—41no—
1080C2×D11—41no—
1081C2×D11—41no—
1082C2×D11—41no—
1083C2×D11—84no—
1084C2×D11—162no—
1085C2×D11—162no—
1086C2×D11#54612yes—
1087C4×C11—21no—
1088C4×C11—21no—
1089C4×C11—21no—
1090C4×C11—21no—
1091C4×C11—41no—
1092C4×C11—41no—
1093C4×C11—41no—
1094C4×C11—41no—
1095C4×C11—41no—
1096C4×C11—41no—
1097C4×C11C22×#4111yescharacteristic
1098C4×C11C2×H(5,𝔽2)11yescharacteristic
1099Dic11—21no—
1100Dic11—21no—
1101Dic11—21no—
1102Dic11—21no—
1103Dic11—41no—
1104Dic11—41no—
1105Dic11—41no—
1106Dic11—41no—
1107Dic11—41no—
1108Dic11—41no—
1109Dic11#54612yes—
1110H(5,𝔽2)—224no—
1111H(5,𝔽2)—442no—
1112C2×#41—21no—
1113C2×#41—111no—
1114C2×#41—111no—
1115C2×#41—111no—
1116C2×#41—111no—
1117C2×#41—111no—
1118C2×#41—111no—
1119C2×#41—111no—
1120C2×#41—221no—
1121C2×#41—221no—
1122C2×#41—221no—
1123C2×#41—221no—
1124C2×#41—224no—
1125C2×#41—442no—
1126C2×#41C22×D1111yescharacteristic
1127C2×#41C22×D1111yescharacteristic
1128C22×Q8—111no—
1129C22×D4—111no—
1130C22×D4—111no—
1131C22×D4—111no—
1132C22×D4—221no—
1133C22×D4—221no—
1134C22×D4—221no—
1135C22×D4—221no—
1136C23×C4—111no—
1137C23×C4—221no—
1138C23×C4—221no—
1139#137—442no—
1140AGL(1,ℤ/8)—224no—
1141#135—442no—
1142C2×Q16—111no—
1143C2×Q16—111no—
1144C2×Q16—111no—
1145C2×SD16—111no—
1146C2×SD16—111no—
1147C2×SD16—111no—
1148C2×SD16—111no—
1149C2×SD16C22×D1111yescharacteristic
1150C2×SD16C22×D1111yescharacteristic
1151C2×D8—111no—
1152C2×D8—111no—
1153C2×D8C22×D1111yescharacteristic
1154#131—442no—
1155C2×M16—111no—
1156C2×M16—111no—
1157C2×M16—111no—
1158C2×M16—111no—
1159C2×M16—111no—
1160C2×M16—111no—
1161C2×M16—442no—
1162C2×M16C22×D1111yescharacteristic
1163C2×M16C22×D1111yescharacteristic
1164C22×C8—111no—
1165C22×C8—111no—
1166C22×C8—111no—
1167C22×C8—111no—
1168C4⋊Q8—111no—
1169C4⋊Q8—111no—
1170C4⋊Q8—221no—
1171C4⋊Q8—221no—
1172C4⋊Q8C22×D1111yescharacteristic
1173C4⋊Q8C22×D1111yescharacteristic
1174#126—221no—
1175#126—221no—
1176#126—221no—
1177#126—221no—
1178#125—111no—
1179#125—111no—
1180#125—221no—
1181#125—221no—
1182#125—221no—
1183#125—221no—
1184#125—221no—
1185#124—111no—
1186#124—111no—
1187#124—221no—
1188#123—21no—
1189#123—21no—
1190#123—21no—
1191#123—21no—
1192#123—111no—
1193#123—111no—
1194#123—221no—
1195#123—221no—
1196#123—221no—
1197#123—221no—
1198#123—221no—
1199#123—221no—
1200#123—221no—
1201#123—221no—
1202#123—221no—
1203#123—221no—
1204#123—221no—
1205#123—221no—
1206#123—221no—
1207#123—221no—
1208#123—221no—
1209#123—221no—
1210#123—221no—
1211#123—221no—
1212#123—221no—
1213#123—221no—
1214#123—221no—
1215#123—221no—
1216C22⋊Q8—21no—
1217C22⋊Q8—111no—
1218C22⋊Q8—111no—
1219C22⋊Q8—111no—
1220C22⋊Q8—111no—
1221C22⋊Q8—111no—
1222C22⋊Q8—111no—
1223C22⋊Q8—111no—
1224C22⋊Q8—111no—
1225C22⋊Q8—111no—
1226C22⋊Q8—111no—
1227C22⋊Q8—221no—
1228C22⋊Q8—221no—
1229C22⋊Q8—221no—
1230C22⋊Q8—221no—
1231C22⋊Q8—221no—
1232C22⋊Q8—221no—
1233C22⋊Q8—221no—
1234C22⋊Q8—221no—
1235C22⋊Q8—221no—
1236C22⋊Q8—221no—
1237C22⋊Q8C22×D1111yescharacteristic
1238C22⋊Q8C22×D1111yescharacteristic
1239#121—21no—
1240#121—111no—
1241#121—111no—
1242#121—111no—
1243#121—111no—
1244#121—111no—
1245#121—111no—
1246#121—221no—
1247#121—221no—
1248#121—221no—
1249#121—221no—
1250#121—221no—
1251#121—221no—
1252#121—221no—
1253#121—221no—
1254#121—221no—
1255#121—221no—
1256#121—221no—
1257#121—221no—
1258#121C22×D1111yescharacteristic
1259#121C22×D1111yescharacteristic
1260#120—111no—
1261#120—111no—
1262#120—221no—
1263#120—221no—
1264#120—221no—
1265#120—221no—
1266#120—221no—
1267#120—221no—
1268C4×Q8—111no—
1269C4×Q8—111no—
1270C4×Q8—221no—
1271C4×D4—111no—
1272C4×D4—111no—
1273C4×D4—111no—
1274C4×D4—111no—
1275C4×D4—111no—
1276C4×D4—111no—
1277C4×D4—111no—
1278C4×D4—221no—
1279C4×D4—221no—
1280C4×D4—221no—
1281C4×D4—221no—
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×D4—221no—
1293C4×D4C22×D1111yescharacteristic
1294C4×D4C22×D1111yescharacteristic
1295C4×D4C22×D1111yescharacteristic
1296#117—111no—
1297#117—111no—
1298#117—111no—
1299#117—111no—
1300#117—111no—
1301#117—221no—
1302#117—221no—
1303#117—221no—
1304C2×C4⋊C4—21no—
1305C2×C4⋊C4—111no—
1306C2×C4⋊C4—111no—
1307C2×C4⋊C4—111no—
1308C2×C4⋊C4—111no—
1309C2×C4⋊C4—111no—
1310C2×C4⋊C4—111no—
1311C2×C4⋊C4—221no—
1312C2×C4⋊C4—221no—
1313C2×C4⋊C4—221no—
1314C2×C4⋊C4—221no—
1315C2×C4⋊C4—221no—
1316C2×C4⋊C4—221no—
1317C2×C4⋊C4—221no—
1318C2×C4⋊C4C22×D1111yescharacteristic
1319C2×C4⋊C4C22×D1111yescharacteristic
1320C2×C22⋊C4—221no—
1321C2×C22⋊C4—221no—
1322C2×C22⋊C4—221no—
1323C2×C22⋊C4—221no—
1324C2×C22⋊C4—221no—
1325C2×C22⋊C4—221no—
1326#107—111no—
1327#107—111no—
1328#107—111no—
1329#107C22×D1111yescharacteristic
1330#107C22×D1111yescharacteristic
1331#107C22×D1111yescharacteristic
1332#106—111no—
1333#106—111no—
1334#106—111no—
1335#106—111no—
1336#106—111no—
1337#106—111no—
1338C4⋊C8—111no—
1339C4⋊C8—111no—
1340C4⋊C8—111no—
1341C4⋊C8C22×D1111yescharacteristic
1342#103—111no—
1343#103—111no—
1344#103—111no—
1345#103—111no—
1346#103—111no—
1347#103—111no—
1348#103—111no—
1349#103—111no—
1350#103—111no—
1351#103—111no—
1352#103—111no—
1353#103—111no—
1354#103—111no—
1355#103—111no—
1356#103C22×D1111yescharacteristic
1357#103C22×D1111yescharacteristic
1358#103C22×D1111yescharacteristic
1359#103C22×D1111yescharacteristic
1360#103C22×D1111yescharacteristic
1361#103C22×D1111yescharacteristic
1362#102—111no—
1363#102—111no—
1364#102—111no—
1365#102—111no—
1366#102—111no—
1367#102—111no—
1368#102—111no—
1369#102—111no—
1370#102—111no—
1371#102—111no—
1372#102—111no—
1373#102—111no—
1374#102—111no—
1375#102—111no—
1376#102—111no—
1377#102—111no—
1378#102C22×D1111yescharacteristic
1379#102C22×D1111yescharacteristic
1380#102C22×D1111yescharacteristic
1381#102C22×D1111yescharacteristic
1382C22⋊C8—111no—
1383C22⋊C8—111no—
1384C22⋊C8—111no—
1385C22⋊C8—111no—
1386C22⋊C8—111no—
1387C22⋊C8—111no—
1388C22⋊C8C22×D1111yescharacteristic
1389C22⋊C8C22×D1111yescharacteristic
1390#97—111no—
1391#97—111no—
1392C4×C8—111no—
1393C4×C8C22×D1111yescharacteristic
1394C2×C11—41no—
1395C2×C11—42no—
1396C2×C11—41no—
1397C2×C11—81no—
1398C2×C11C2×#54611yescharacteristic
1399C2×C11#358511yescharacteristic
1400C2×C11#358611yescharacteristic
1401D11—22no—
1402D11—41no—
1403D11—41no—
1404D11—42no—
1405D11—81no—
1406C24—111no—
1407C24—221no—
1408C24—221no—
1409C24—221no—
1410#41—22no—
1411#41—22no—
1412#41—41no—
1413#41—41no—
1414#41—82no—
1415#41—222no—
1416#41—222no—
1417#41—222no—
1418#41—222no—
1419#41—222no—
1420#41—222no—
1421#41—222no—
1422#41—222no—
1423#41—222no—
1424#41—222no—
1425#41—441no—
1426#41—444no—
1427#41—444no—
1428#41—441no—
1429#41—444no—
1430#41—441no—
1431#41—441no—
1432#41—882no—
1433C2×Q8—21no—
1434C2×Q8—111no—
1435C2×Q8—111no—
1436C2×Q8—111no—
1437C2×Q8—221no—
1438C2×Q8—221no—
1439C2×Q8—222no—
1440C2×Q8—222no—
1441C2×Q8C23×D1111yescharacteristic
1442C2×Q8C23×D1111yescharacteristic
1443C2×D4—21no—
1444C2×D4—21no—
1445C2×D4—21no—
1446C2×D4—21no—
1447C2×D4—114no—
1448C2×D4—111no—
1449C2×D4—111no—
1450C2×D4—111no—
1451C2×D4—111no—
1452C2×D4—111no—
1453C2×D4—111no—
1454C2×D4—111no—
1455C2×D4—111no—
1456C2×D4—222no—
1457C2×D4—221no—
1458C2×D4—221no—
1459C2×D4—221no—
1460C2×D4—221no—
1461C2×D4—222no—
1462C2×D4—221no—
1463C2×D4—221no—
1464C2×D4—222no—
1465C2×D4—221no—
1466C2×D4—221no—
1467C2×D4—221no—
1468C2×D4—221no—
1469C2×D4—221no—
1470C2×D4—221no—
1471C2×D4—221no—
1472C2×D4—441no—
1473C2×D4—444no—
1474C2×D4—441no—
1475C2×D4—444no—
1476C2×D4—444no—
1477C2×D4—444no—
1478C2×D4D4×D1111yescharacteristic
1479C2×D4C23×D1111yescharacteristic
1480C2×D4C23×D1111yescharacteristic
1481C22×C4—21no—
1482C22×C4—21no—
1483C22×C4—21no—
1484C22×C4—21no—
1485C22×C4—21no—
1486C22×C4—21no—
1487C22×C4—111no—
1488C22×C4—111no—
1489C22×C4—111no—
1490C22×C4—111no—
1491C22×C4—111no—
1492C22×C4—111no—
1493C22×C4—222no—
1494C22×C4—222no—
1495C22×C4—221no—
1496C22×C4—221no—
1497C22×C4—221no—
1498C22×C4—221no—
1499C22×C4—221no—
1500C22×C4—221no—
1501C22×C4—221no—
1502C22×C4—221no—
1503C22×C4—221no—
1504C22×C4—221no—
1505C22×C4—221no—
1506C22×C4—221no—
1507C22×C4—221no—
1508C22×C4—221no—
1509C22×C4—221no—
1510C22×C4—221no—
1511C22×C4—221no—
1512C22×C4—444no—
1513C22×C4—882no—
1514C22×C4C23×D1111yescharacteristic
1515C22×C4C23×D1111yescharacteristic
1516Q16—441no—
1517Q16—441no—
1518Q16—441no—
1519SD16—41no—
1520SD16—41no—
1521SD16—222no—
1522SD16—222no—
1523SD16—441no—
1524SD16—441no—
1525D8—22no—
1526D8—222no—
1527D8—441no—
1528M16—41no—
1529M16—41no—
1530M16—222no—
1531M16—222no—
1532M16—441no—
1533M16—441no—
1534M16—441no—
1535M16—441no—
1536C2×C8—111no—
1537C2×C8—111no—
1538C2×C8—111no—
1539C2×C8—111no—
1540C2×C8—222no—
1541C2×C8—222no—
1542C2×C8—441no—
1543C2×C8—441no—
1544C2×C8C23×D1111yescharacteristic
1545C2×C8C23×D1111yescharacteristic
1546C2×C8C23×D1111yescharacteristic
1547C2×C8C23×D1111yescharacteristic
1548C4⋊C4—21no—
1549C4⋊C4—21no—
1550C4⋊C4—21no—
1551C4⋊C4—21no—
1552C4⋊C4—21no—
1553C4⋊C4—21no—
1554C4⋊C4—21no—
1555C4⋊C4—111no—
1556C4⋊C4—111no—
1557C4⋊C4—111no—
1558C4⋊C4—111no—
1559C4⋊C4—111no—
1560C4⋊C4—111no—
1561C4⋊C4—111no—
1562C4⋊C4—111no—
1563C4⋊C4—111no—
1564C4⋊C4—221no—
1565C4⋊C4—221no—
1566C4⋊C4—221no—
1567C4⋊C4—221no—
1568C4⋊C4—221no—
1569C4⋊C4—221no—
1570C4⋊C4—221no—
1571C4⋊C4—221no—
1572C4⋊C4—221no—
1573C4⋊C4—221no—
1574C4⋊C4—221no—
1575C4⋊C4—221no—
1576C4⋊C4—221no—
1577C4⋊C4—221no—
1578C4⋊C4—221no—
1579C4⋊C4—221no—
1580C4⋊C4—221no—
1581C4⋊C4—221no—
1582C4⋊C4—221no—
1583C4⋊C4—221no—
1584C4⋊C4—221no—
1585C4⋊C4—221no—
1586C4⋊C4—221no—
1587C4⋊C4D4×D1111yescharacteristic
1588C4⋊C4C23×D1111yescharacteristic
1589C4⋊C4C23×D1111yescharacteristic
1590C4⋊C4C23×D1111yescharacteristic
1591C4⋊C4C23×D1111yescharacteristic
1592C22⋊C4—21no—
1593C22⋊C4—21no—
1594C22⋊C4—21no—
1595C22⋊C4—21no—
1596C22⋊C4—21no—
1597C22⋊C4—21no—
1598C22⋊C4—111no—
1599C22⋊C4—111no—
1600C22⋊C4—111no—
1601C22⋊C4—111no—
1602C22⋊C4—111no—
1603C22⋊C4—111no—
1604C22⋊C4—111no—
1605C22⋊C4—111no—
1606C22⋊C4—221no—
1607C22⋊C4—221no—
1608C22⋊C4—221no—
1609C22⋊C4—221no—
1610C22⋊C4—221no—
1611C22⋊C4—221no—
1612C22⋊C4—221no—
1613C22⋊C4—221no—
1614C22⋊C4—221no—
1615C22⋊C4—221no—
1616C22⋊C4—221no—
1617C22⋊C4—221no—
1618C22⋊C4—221no—
1619C22⋊C4—221no—
1620C22⋊C4—221no—
1621C22⋊C4—221no—
1622C22⋊C4—221no—
1623C22⋊C4—221no—
1624C22⋊C4—221no—
1625C22⋊C4—221no—
1626C22⋊C4—221no—
1627C22⋊C4—221no—
1628C22⋊C4—221no—
1629C22⋊C4—221no—
1630C22⋊C4D4×D1111yescharacteristic
1631C22⋊C4D4×D1111yescharacteristic
1632C42—111no—
1633C42—221no—
1634C42—221no—
1635C42—221no—
1636C42—221no—
1637C42—221no—
1638C42—221no—
1639C42C23×D1111yescharacteristic
1640C11#6117711yescharacteristic, complemented, Sylow
1641C23—21no—
1642C23—21no—
1643C23—111no—
1644C23—111no—
1645C23—111no—
1646C23—222no—
1647C23—224no—
1648C23—221no—
1649C23—221no—
1650C23—441no—
1651C23—441no—
1652C23—442no—
1653C23—442no—
1654C23—881no—
1655C23—881no—
1656C23—881no—
1657C23—881no—
1658C23—881no—
1659C23—881no—
1660C23C2×D4×D1111yescharacteristic
1661C23C2×D4×D1111yescharacteristic
1662Q8—21no—
1663Q8—21no—
1664Q8—21no—
1665Q8—21no—
1666Q8—81no—
1667Q8—222no—
1668Q8—221no—
1669Q8—221no—
1670Q8—221no—
1671Q8—221no—
1672Q8—442no—
1673Q8—881no—
1674D4—21no—
1675D4—21no—
1676D4—21no—
1677D4—41no—
1678D4—42no—
1679D4—42no—
1680D4—42no—
1681D4—81no—
1682D4—112no—
1683D4—222no—
1684D4—224no—
1685D4—222no—
1686D4—222no—
1687D4—221no—
1688D4—221no—
1689D4—221no—
1690D4—441no—
1691D4—442no—
1692D4—442no—
1693D4—442no—
1694D4—442no—
1695D4—441no—
1696D4—441no—
1697D4—442no—
1698D4—442no—
1699D4—442no—
1700D4—442no—
1701D4—442no—
1702D4—881no—
1703D4—881no—
1704D4—881no—
1705D4#41×D1112yes—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—42no—
1717C2×C4—42no—
1718C2×C4—42no—
1719C2×C4—81no—
1720C2×C4—81no—
1721C2×C4—81no—
1722C2×C4—111no—
1723C2×C4—112no—
1724C2×C4—112no—
1725C2×C4—111no—
1726C2×C4—111no—
1727C2×C4—111no—
1728C2×C4—111no—
1729C2×C4—222no—
1730C2×C4—222no—
1731C2×C4—222no—
1732C2×C4—221no—
1733C2×C4—221no—
1734C2×C4—221no—
1735C2×C4—221no—
1736C2×C4—221no—
1737C2×C4—221no—
1738C2×C4—221no—
1739C2×C4—221no—
1740C2×C4—221no—
1741C2×C4—221no—
1742C2×C4—442no—
1743C2×C4—442no—
1744C2×C4—442no—
1745C2×C4—442no—
1746C2×C4—442no—
1747C2×C4—442no—
1748C2×C4—442no—
1749C2×C4—442no—
1750C2×C4—881no—
1751C2×C4—881no—
1752C2×C4—881no—
1753C2×C4—881no—
1754C2×C4—881no—
1755C2×C4—881no—
1756C2×C4—881no—
1757C2×C4—881no—
1758C2×C4—881no—
1759C2×C4C2×D4×D1111yescharacteristic
1760C2×C4C2×D4×D1111yescharacteristic
1761C2×C4C2×D4×D1111yescharacteristic
1762C2×C4C2×D4×D1111yescharacteristic
1763C2×C4C24×D1111yescharacteristic
1764C8—21no—
1765C8—21no—
1766C8—21no—
1767C8—21no—
1768C8—221no—
1769C8—221no—
1770C8—221no—
1771C8—221no—
1772C22—21no—
1773C22—21no—
1774C22—21no—
1775C22—21no—
1776C22—21no—
1777C22—21no—
1778C22—22no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—112no—
1785C22—221no—
1786C22—221no—
1787C22—221no—
1788C22—221no—
1789C22—221no—
1790C22—221no—
1791C22—221no—
1792C22—221no—
1793C22—222no—
1794C22—444no—
1795C22—441no—
1796C22—441no—
1797C22—441no—
1798C22—441no—
1799C22—441no—
1800C22—884no—
1801C22—1762no—
1802C22—1762no—
1803C22C22×D4×D1111yescharacteristic
1804C4—21no—
1805C4—21no—
1806C4—21no—
1807C4—21no—
1808C4—41no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—112no—
1815C4—221no—
1816C4—221no—
1817C4—221no—
1818C4—221no—
1819C4—441no—
1820C4—441no—
1821C4—441no—
1822C4—441no—
1823C4—441no—
1824C4—441no—
1825C4C2×#41×D1111yescharacteristic
1826C4D11×H(5,𝔽2)11yescharacteristic
1827C2—41no—
1828C2—41no—
1829C2—42no—
1830C2—81no—
1831C2—222no—
1832C2—441no—
1833C2—441no—
1834C2—442no—
1835C2—881no—
1836C2D11×#54611yescharacteristic
1837C2#1308339211yescharacteristic
1838C2#1308340111yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3330C2
socleC22×C11C23×D4
hypercenter#3330D11
hypocenterC11#61177
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3330

Complements

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

NH ≅ G/Ntype
1. #13082318C2semidirect
2. #13082255C2semidirect
3. #13080931C2semidirect
4. #13080928C2semidirect
5. #13080916C2semidirect
6. #13080834C2semidirect
7. #13080833C2semidirect
8. #13080823C2semidirect
9. #13080822C2semidirect
10. #13080715C2semidirect
11. #13080712C2semidirect
12. #13080695C2semidirect
13. #13080694C2semidirect
14. #13080599C2semidirect
15. #13080596C2semidirect
16. #13080571C2semidirect
17. #13080570C2semidirect
18. #13078976C2semidirect
19. #13078584C2semidirect
20. #13078543C2semidirect
21. #13078440C2semidirect
22. #13078302C2semidirect
23. #13078220C2semidirect
24. #13078161C2semidirect
25. #13077918C2semidirect
26. #13077854C2semidirect
27. #13077441C2semidirect
28. #13077316C2semidirect
29. #13077140C2semidirect
30. D11×#417C2semidirect
31. C11×#3330C2semidirect
35. C11×#547C22semidirect
41. C2×#66968C22semidirect
44. C2×M16×D11C22semidirect
45. #10623261C22semidirect
46. #10623260C22semidirect
63. #10623145C22semidirect
64. #10623142C22semidirect
67. #10623137C22semidirect
69. #10623089C22semidirect
73. #10623077C22semidirect
75. #10623072C22semidirect
76. #10623044C22semidirect
77. #10623042C22semidirect
81. C2×C4⋊C4×D11C22semidirect
82. C11×#487C22semidirect
83. C11×#484C22semidirect
84. C11×#484C22semidirect
85. C11×#474C22semidirect
86. C11×#468C22semidirect
87. C11×#468C22semidirect
88. C11×#461C22semidirect
89. C11×#449C22semidirect
90. C11×#449C22semidirect
91. C4×C11×D8C22semidirect
92. C11×#436C22semidirect
93. C11×#417C22semidirect
94. C11×#417C22semidirect
95. #10622852C22semidirect
96. #10622852C22semidirect
97. #10622846C22semidirect
98. #10622845C22semidirect
99. #10622787C22semidirect
100. #10622785C22semidirect
101. #10622785C22semidirect
102. #10622784C22semidirect
103. #10622778C22semidirect
104. #10622775C22semidirect
105. #10622771C22semidirect
106. #10622769C22semidirect
107. #10622765C22semidirect
108. #10622750C22semidirect
109. #10622747C22semidirect
110. #10622746C22semidirect
111. #10622744C22semidirect
112. #10622741C22semidirect
113. #10622741C22semidirect
114. #10622703C22semidirect
115. #10622702C22semidirect
116. #10622697C22semidirect
117. #10622695C22semidirect
118. #10622665C22semidirect
119. #10622664C22semidirect
120. #10622658C22semidirect
121. #10622657C22semidirect
122. #10622654C22semidirect
123. #10622652C22semidirect
124. #10622650C22semidirect
125. #10622649C22semidirect
126. #10622631C22semidirect
127. #10622629C22semidirect
128. #10622627C22semidirect
129. #10622624C22semidirect
130. #10622622C22semidirect
131. #10622584C22semidirect
132. #10622581C22semidirect
133. #10622579C22semidirect
134. C2×#66873C22semidirect
135. #10622504C22semidirect
136. #10622503C22semidirect
137. #10622502C22semidirect
138. #10622501C22semidirect
139. #10622500C22semidirect
140. #10622499C22semidirect
141. #10622497C22semidirect
142. #10622495C22semidirect
143. #10622495C22semidirect
144. #10622494C22semidirect
145. #10622494C22semidirect
146. #10622493C22semidirect
147. #10622460C22semidirect
148. #10622458C22semidirect
149. #10622452C22semidirect
150. #10622449C22semidirect
151. #10622429C22semidirect
152. #10622429C22semidirect
153. #10622427C22semidirect
154. #10622423C22semidirect
155. #10622423C22semidirect
156. #10622418C22semidirect
157. #10622418C22semidirect
158. #10622418C22semidirect
160. #10622417C22semidirect
163. #10622416C22semidirect
164. #10622416C22semidirect
165. #10622416C22semidirect
166. #10622415C22semidirect
167. D11×#103C22semidirect
168. D11×#103C22semidirect
169. #10622413C22semidirect
170. #10622411C22semidirect
171. #10622410C22semidirect
172. #10622408C22semidirect
173. #10622406C22semidirect
174. #10622405C22semidirect
175. #10622396C22semidirect
176. #10622395C22semidirect
177. #10622393C22semidirect
178. #10622389C22semidirect
179. #10622385C22semidirect
180. #10622384C22semidirect
181. #10622384C22semidirect
183. #10622383C22semidirect
186. D11×#102C22semidirect
187. #10622379C22semidirect
188. #10622374C22semidirect
189. #10622371C22semidirect
190. #10622369C22semidirect
191. #10622348C22semidirect
192. #10622346C22semidirect
193. #10622344C22semidirect
194. #10622343C22semidirect
195. #10622341C22semidirect
197. #10622339C22semidirect
198. #10622336C22semidirect
199. #10622310C22semidirect
200. C4×#4314C22semidirect
201. #10622302C22semidirect
202. #10622301C22semidirect
553. D4×D11#41semidirect
727. #3330D11semidirect
908. #547C2×D11semidirect
941. #487C2×D11semidirect
948. #484C2×D11semidirect
949. #484C2×D11semidirect
965. #474C2×D11semidirect
976. #468C2×D11semidirect
977. #468C2×D11semidirect
989. #461C2×D11semidirect
1002. #449C2×D11semidirect
1003. #449C2×D11semidirect
1013. C4×D8C2×D11semidirect
1017. #436C2×D11semidirect
1040. #417C2×D11semidirect
1041. #417C2×D11semidirect
1640. C11#61177semidirect

Maximal subgroups

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

subgroupindex
#130823182
#130822552
#130809312
#130809282
#130809162
#130808342
#130808332
#130808232
#130808222
#130807152
#130807122
#130806952
#130806942
#130805992
#130805962
#130805712
#130805702
#130789762
#130785842
#130785432
#130784402
#130783022
#130782202
#130781612
#130779182
#130778542
#130774412
#130773162
#130771402
D11×#4172
C11×#33302
#6117711