Finite Group Databasebeta

← #15639738

Subgroups — #15639738

Order 2816.

2046 conjugacy classes of subgroups.

The subgroup lattice has 1866 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082867C211yesmaximal, characteristic, complemented
2#13082290C211yesmaximal, characteristic, complemented
3#13080837C211yesmaximal, characteristic, complemented
4#13080810C211yesmaximal, characteristic, complemented
5#13080793C211yesmaximal, characteristic, complemented
6#13080712C211yesmaximal, characteristic, complemented
7#13080674C211yesmaximal, characteristic, complemented
8#13080596C211yesmaximal, characteristic, complemented
9#13080513C211yesmaximal, characteristic, complemented
10#13080505C211yesmaximal, characteristic, complemented
11#13080332C211yesmaximal, characteristic, complemented
12#13080281C211yesmaximal, characteristic, complemented
13#13080260C211yesmaximal, characteristic, complemented
14#13080197C211yesmaximal, characteristic, complemented
15#13080175C211yesmaximal, characteristic, complemented
16#13080162C211yesmaximal, characteristic, complemented
17#13080141C211yesmaximal, characteristic, complemented
18#13079698C211yesmaximal, characteristic, complemented
19#13079670C211yesmaximal, characteristic, complemented
20#13079521C211yesmaximal, characteristic, complemented
21#13079517C211yesmaximal, characteristic, complemented
22#13079444C211yesmaximal, characteristic, complemented
23#13079392C211yesmaximal, characteristic, complemented
24#13078826C211yesmaximal, characteristic, complemented
25#13078812C211yesmaximal, characteristic, complemented
26#13077929C211yesmaximal, characteristic, complemented
27#13077927C211yesmaximal, characteristic, complemented
28#13077854C211yesmaximal, characteristic, complemented
29#13077830C211yesmaximal, characteristic, complemented
30#13077658C211yesmaximal, characteristic, complemented
31C11×#3284C211yesmaximal, characteristic, complemented
32C2×#67043C2211yescharacteristic
33C2×#41×D11C2211yescharacteristic
34C2×C11×#135C2211yescharacteristic
35C2×C11×#135C2211yescharacteristic, complemented
36C11×#550C2211yescharacteristic, complemented
37C11×#547C2211yescharacteristic
38#10623364C2211yescharacteristic, complemented
39#10623360C2211yescharacteristic
40#10623359C2211yescharacteristic
41#10623355C2211yescharacteristic
42#10623355C2211yescharacteristic
43#10623355C2211yescharacteristic, complemented
44C2×#67004C2211yescharacteristic, complemented
45C2×#67003C2211yescharacteristic
46C2×#66968C2211yescharacteristic
47C2×#66968C2211yescharacteristic, complemented
48C2×#66965C2211yescharacteristic, complemented
49C2×#66964C2211yescharacteristic
50#10623258C2211yescharacteristic
51#10623255C2211yescharacteristic
52#10623251—21no—
53#10623250—21no—
54#10623250C2211yescharacteristic, complemented
55#10623249C2211yescharacteristic
56#10623187—21no—
57#10623186—21no—
58#10623185—21no—
59#10623179—21no—
60#10623164C2211yescharacteristic
61#10623163C2211yescharacteristic
62#10623160C2211yescharacteristic
63D11×C22⋊Q8C2211yescharacteristic
64#10623151—21no—
65#10623149C2211yescharacteristic
66#10623146—21no—
67#10623145C2211yescharacteristic, complemented
68#10623141—21no—
69#10623139C2211yescharacteristic, complemented
70#10623137C2211yescharacteristic
71#10623133—21no—
72#10623132—21no—
73#10623128—21no—
74#10623114C2211yescharacteristic, complemented
75#10623112C2211yescharacteristic
76#10623095—21no—
77#10623085C2211yescharacteristic
78#10623083C2211yescharacteristic
79#10623078C2211yescharacteristic
80#10623077C2211yescharacteristic
81#10623072C2211yescharacteristic, complemented
82#10623071—21no—
83C2×#66949—21no—
84#10623038—21no—
85C11×#492C2211yescharacteristic, complemented
86C11×#465C2211yescharacteristic, complemented
87C11×#465C2211yescharacteristic, complemented
88C11×#462C2211yescharacteristic, complemented
89C11×#459C2211yescharacteristic, complemented
90C11×#452C2211yescharacteristic, complemented
91C11×#452C2211yescharacteristic, complemented
92C11×#449C2211yescharacteristic
93C11×#449C2211yescharacteristic, complemented
94C4×C11×SD16C2211yescharacteristic, complemented
95C8×D4×C11C2211yescharacteristic, complemented
96#10622852C2211yescharacteristic
97#10622852C2211yescharacteristic, complemented
98#10622852C2211yescharacteristic, complemented
99#10622851C2211yescharacteristic, complemented
100#10622846C2211yescharacteristic
101#10622845C2211yescharacteristic, complemented
102#10622803C2211yescharacteristic, complemented
103#10622802C2211yescharacteristic
104#10622801C2211yescharacteristic, complemented
105#10622800C2211yescharacteristic
106#10622799C2211yescharacteristic
107#10622799C2211yescharacteristic, complemented
108#10622799C2211yescharacteristic, complemented
109#10622794C2211yescharacteristic, complemented
110#10622787C2211yescharacteristic
111#10622787C2211yescharacteristic, complemented
112#10622786C2211yescharacteristic
113#10622786C2211yescharacteristic
114#10622786C2211yescharacteristic, complemented
115#10622786C2211yescharacteristic, complemented
116#10622785C2211yescharacteristic
117#10622785C2211yescharacteristic
118#10622783C2211yescharacteristic
119#10622783C2211yescharacteristic, complemented
120#10622783C2211yescharacteristic, complemented
121#10622783C2211yescharacteristic, complemented
122#10622782C2211yescharacteristic
123#10622778C2211yescharacteristic, complemented
124#10622778C2211yescharacteristic, complemented
125#10622775C2211yescharacteristic, complemented
126#10622775C2211yescharacteristic, complemented
127#10622775C2211yescharacteristic, complemented
128#10622771C2211yescharacteristic
129#10622771C2211yescharacteristic
130#10622771C2211yescharacteristic, complemented
131#10622769C2211yescharacteristic
132#10622765C2211yescharacteristic, complemented
133D8×Dic11C2211yescharacteristic, complemented
134#10622729C2211yescharacteristic, complemented
135#10622727C2211yescharacteristic, complemented
136#10622726C2211yescharacteristic
137#10622724C2211yescharacteristic
138#10622723C2211yescharacteristic, complemented
139C8×C22⋊D11C2211yescharacteristic, complemented
140C2×(C2×D11)⋊C8C2211yescharacteristic
141C2×#66880C2211yescharacteristic, complemented
142#10622703C2211yescharacteristic, complemented
143#10622695C2211yescharacteristic, complemented
144#10622688C2211yescharacteristic, complemented
145#10622687C2211yescharacteristic, complemented
146#10622665C2211yescharacteristic, complemented
147#10622664C2211yescharacteristic, complemented
148#10622658C2211yescharacteristic, complemented
149#10622657C2211yescharacteristic, complemented
150#10622654C2211yescharacteristic, complemented
151#10622653C2211yescharacteristic, complemented
152#10622652C2211yescharacteristic, complemented
153#10622650C2211yescharacteristic
154#10622643C2211yescharacteristic, complemented
155#10622641C2211yescharacteristic, complemented
156#10622631C2211yescharacteristic, complemented
157#10622624C2211yescharacteristic, complemented
158#10622622C2211yescharacteristic, complemented
159#10622480C2211yescharacteristic
160#10622476C2211yescharacteristic, complemented
161#10622475C2211yescharacteristic, complemented
162#10622470C2211yescharacteristic, complemented
163#10622458C2211yescharacteristic, complemented
164#10622453C2211yescharacteristic, complemented
165#10622449C2211yescharacteristic
166#10622442C2211yescharacteristic, complemented
167#10622429C2211yescharacteristic
168#10622427C2211yescharacteristic
169#10622425C2211yescharacteristic, complemented
170#10622423C2211yescharacteristic
171#10622422C2211yescharacteristic, complemented
172#10622421C2211yescharacteristic, complemented
173#10622418C2211yescharacteristic, complemented
174#10622415C2211yescharacteristic
175D11×#103C2211yescharacteristic, complemented
176#10622413C2211yescharacteristic, complemented
177#10622410C2211yescharacteristic, complemented
178#10622406C2211yescharacteristic, complemented
179#10622396C2211yescharacteristic
180#10622396C2211yescharacteristic
181#10622394C2211yescharacteristic, complemented
182#10622393C2211yescharacteristic
183#10622390C2211yescharacteristic, complemented
184#10622388C2211yescharacteristic, complemented
185#10622387C2211yescharacteristic, complemented
186#10622384C2211yescharacteristic, complemented
187#10622383C2211yescharacteristic
188#10622379C2211yescharacteristic, complemented
189#10622371C2211yescharacteristic, complemented
190#10622370C2211yescharacteristic, complemented
191#10622352C2211yescharacteristic, complemented
192#10622349C2211yescharacteristic, complemented
193#10622346C2211yescharacteristic
194#10622343C2211yescharacteristic, complemented
195#10622342C2211yescharacteristic
196#10622340C2211yescharacteristic, complemented
197#10622339C2211yescharacteristic
198#10622336C2211yescharacteristic, complemented
199C4×Dic44C2211yescharacteristic, complemented
200#10622310C2211yescharacteristic, complemented
201#10622303C2211yescharacteristic, complemented
202#10622301C2211yescharacteristic
203C2×C11×#41C2311yescharacteristic
204C2×C11×#41C2311yescharacteristic
205C2×C11×#41C2311yescharacteristic
206C2×C11×#41C2311yescharacteristic
207#67043—42no—
208#67043—42no—
209#41×D11—42no—
210#41×D11—42no—
211C2×#4343C2311yescharacteristic
212C2×Q8×D11C2311yescharacteristic
213C2×Q8×D11C2311yescharacteristic
214C2×Q8×D11C2311yescharacteristic
215C2×#4341—21no—
216C2×#4341—21no—
217C2×#4341—21no—
218C2×#4341C2311yescharacteristic
219C2×#4341C2311yescharacteristic
220C2×#4341C2311yescharacteristic
221C2×#4341C2311yescharacteristic
222C2×D4×D11—21no—
223C2×D4×D11C2311yescharacteristic
224C2×#4339—21no—
225C2×#4339—21no—
226C2×#4339C2311yescharacteristic
227C2×#4339C2311yescharacteristic
228C22×C4×D11—21no—
229C22×C4×D11C2311yescharacteristic
230C22×Dic22—21no—
231C22×Dic22C2311yescharacteristic
232C11×#135—42no—
233C11×#135—42no—
234C2×C11×Q16C2311yescharacteristic
235C2×C11×Q16C2311yescharacteristic
236C2×C11×SD16C2311yescharacteristic
237C2×C11×SD16C2311yescharacteristic
238C2×C11×SD16C2311yescharacteristic
239C2×C11×SD16C2311yescharacteristic
240C2×C11×SD16C2311yescharacteristic
241C2×C11×D8C2311yescharacteristic
242C2×C11×D8C2311yescharacteristic
243C22×C8×C11C2311yescharacteristic
244C22×C8×C11C2311yescharacteristic
245C11×C4⋊Q8C2311yescharacteristic
246C11×#127—21no—
247C11×#127C2311yescharacteristic
248C11×#123—21no—
249C11×#123—21no—
250C11×C22⋊Q8C2311yescharacteristic
251C11×C22⋊Q8C2311yescharacteristic
252C11×#121—21no—
253C11×#121—21no—
254C11×#121—21no—
255C11×#121C2311yescharacteristic
256C11×#121C2311yescharacteristic
257C4×Q8×C11C2311yescharacteristic
258C4×D4×C11—21no—
259C4×D4×C11C2311yescharacteristic
260C4×D4×C11C2311yescharacteristic
261C2×C11×C4⋊C4—21no—
262#67004—42no—
263#67003—42no—
264#67000C2311yescharacteristic
265#66999C2311yescharacteristic
266#66999C2311yescharacteristic
267#66999C2311yescharacteristic
268#66999C2311yescharacteristic
269#66999C2311yescharacteristic
270#66997C2311yescharacteristic
271#66997C2311yescharacteristic
272C2×#4326C2311yescharacteristic
273C2×#4326C2311yescharacteristic
274C2×#4326C2311yescharacteristic
275C2×#4326C2311yescharacteristic
276C2×#4325C2311yescharacteristic
277#66993—21no—
278#66992—21no—
279#66992—21no—
280#66992—21no—
281#66992—21no—
282#66992—21no—
283#66992—21no—
284#66992—21no—
285#66992—21no—
286#66992—21no—
287#66992—21no—
288#66992—21no—
289#66992—21no—
290#66992—21no—
291#66992D411yescharacteristic
292#66991—21no—
293#66991—21no—
294#66991C2311yescharacteristic
295#66991C2311yescharacteristic
296#66991C2311yescharacteristic
297#66991C2311yescharacteristic
298#66990—21no—
299#66990—21no—
300#66990—21no—
301#66990D411yescharacteristic
302#66988—21no—
303#66988—21no—
304#66988—21no—
305#66988—21no—
306#66988—21no—
307#66988—21no—
308#66988—21no—
309#66988—21no—
310D4×Dic11—21no—
311D4×Dic11—21no—
312D4×Dic11—21no—
313D4×Dic11C2311yescharacteristic
314D4×Dic11C2311yescharacteristic
315D4×Dic11C2311yescharacteristic
316C2×#4324C2311yescharacteristic
317C2×#4324C2311yescharacteristic
318C2×#4324C2311yescharacteristic
319C2×#4324C2311yescharacteristic
320C2×#4324C2311yescharacteristic
321C2×#4323C2311yescharacteristic
322C2×#4323C2311yescharacteristic
323#66983—21no—
324#66983—21no—
325#66983C2311yescharacteristic
326#66982—21no—
327#66982—21no—
328#66982—21no—
329#66982—21no—
330C4×C22⋊D11—21no—
331C4×C22⋊D11—21no—
332C4×C22⋊D11—21no—
333C4×C22⋊D11C2311yescharacteristic
334C4×C22⋊D11C2311yescharacteristic
335C2×(C2×D11)⋊C4—21no—
336C2×(C2×D11)⋊C4—21no—
337#66979C2311yescharacteristic
338C2×C4⋊Dic11C2311yescharacteristic
339#66977—21no—
340#66977C2311yescharacteristic
341#66977C2311yescharacteristic
342#66977C2311yescharacteristic
343C2×Dic11⋊C4—21no—
344C2×Dic11⋊C4—21no—
345C2×Dic11⋊C4—21no—
346C2×Dic11⋊C4—21no—
347C2×#4318C2311yescharacteristic
348C22×C11⋊C8C2311yescharacteristic
349#66968—42no—
350#66968—42no—
351#66965—42no—
352#66964—42no—
353C2×Dic44C2311yescharacteristic
354C2×Dic44C2311yescharacteristic
355C2×#4314C2311yescharacteristic
356C2×#4313C2311yescharacteristic
357C2×#4313C2311yescharacteristic
358C2×#4313C2311yescharacteristic
359C2×C8×D11C2311yescharacteristic
360#66951—21no—
361#66950C2311yescharacteristic
362#66950C2311yescharacteristic
363#66949—21no—
364#66949—21no—
365#66949—21no—
366#66949—21no—
367#66949—21no—
368#66949—21no—
369#66949—21no—
370#66949—21no—
371#66949—21no—
372#66949D411yescharacteristic
373#66948—21no—
374#66948C2311yescharacteristic
375#66947—21no—
376#66947—21no—
377#66947—21no—
378#66947D411yescharacteristic
379#66946—21no—
380#66946—21no—
381#66945C2311yescharacteristic
382C4⋊C4×D11—21no—
383C4⋊C4×D11C2311yescharacteristic
384C4⋊C4×D11C2311yescharacteristic
385#66943C2311yescharacteristic
386#66942—21no—
387#66942—21no—
388#66942—21no—
389#66941—21no—
390#66941—21no—
391#66940C2311yescharacteristic
392#66939—21no—
393#66939—21no—
394#66938—21no—
395#66938—21no—
396#66937—21no—
397#66937—21no—
398#66937—21no—
399#66937—21no—
400#66937D411yescharacteristic
401#66936—21no—
402#66936D411yescharacteristic
403#66935—21no—
404#66935D411yescharacteristic
405(C22⋊D11)⋊C4—21no—
406(C22⋊D11)⋊C4—21no—
407(C22⋊D11)⋊C4—21no—
408(C22⋊D11)⋊C4—21no—
409(C22⋊D11)⋊C4—21no—
410C22⋊C4×D11—21no—
411#66932—21no—
412#66932—21no—
413#66932—21no—
414#66931—21no—
415#66931—21no—
416#66931—21no—
417#66931D411yescharacteristic
418#66930—21no—
419#66930—21no—
420#66929—21no—
421#66929—21no—
422#66928C2311yescharacteristic
423C4×D44C2311yescharacteristic
424#66925—21no—
425#66925C2311yescharacteristic
426#66923—21no—
427#66923C2311yescharacteristic
428C4×Dic22C2311yescharacteristic
429C4×Dic22C2311yescharacteristic
430C11×#106C2311yescharacteristic
431C11×C4⋊C8C2311yescharacteristic
432C11×#103C2311yescharacteristic
433C11×#103C2311yescharacteristic
434C11×#103C2311yescharacteristic
435C11×#102C2311yescharacteristic
436C11×#102C2311yescharacteristic
437C11×#102C2311yescharacteristic
438C11×C22⋊C8C2311yescharacteristic
439C11×C22⋊C8C2311yescharacteristic
440C4×C8×C11C2311yescharacteristic
441#66899C2311yescharacteristic
442#66899C2311yescharacteristic
443#66899C2311yescharacteristic
444#66899C2311yescharacteristic
445#66899C2311yescharacteristic
446#66899C2311yescharacteristic
447#66899C2311yescharacteristic
448#66896C2311yescharacteristic
449#66896C2311yescharacteristic
450#66896C2311yescharacteristic
451#66896C2311yescharacteristic
452#66896C2311yescharacteristic
453C22⋊(C11⋊C8)C2311yescharacteristic
454C22⋊(C11⋊C8)C2311yescharacteristic
455#66885C2311yescharacteristic
456#66885C2311yescharacteristic
457#66885C2311yescharacteristic
458(C2×D11)⋊C8C2311yescharacteristic
459(C2×D11)⋊C8C2311yescharacteristic
460(C2×D11)⋊C8C2311yescharacteristic
461(C2×D11)⋊C8C2311yescharacteristic
462(C2×D11)⋊C8C2311yescharacteristic
463(C2×D11)⋊C8C2311yescharacteristic
464(C2×D11)⋊C8C2311yescharacteristic
465(C2×D11)⋊C8C2311yescharacteristic
466#66882C2311yescharacteristic
467#66882C2311yescharacteristic
468#66881C2311yescharacteristic
469#66880C2311yescharacteristic
470#66880C2311yescharacteristic
471#66880C2311yescharacteristic
472#66880C2311yescharacteristic
473#66880C2311yescharacteristic
474#66880C2311yescharacteristic
475#66880C2311yescharacteristic
476#66879C2311yescharacteristic
477Dic11⋊C8C2311yescharacteristic
478Dic11⋊C8C2311yescharacteristic
479C8×Dic11C2311yescharacteristic
480#66874C2311yescharacteristic
481#66874C2311yescharacteristic
482#66874C2311yescharacteristic
483#66873C2311yescharacteristic
484#66872C2311yescharacteristic
485#66872C2311yescharacteristic
486#66871C2311yescharacteristic
487#66871C2311yescharacteristic
488C4⋊(C11⋊C8)C2311yescharacteristic
489#66867C2311yescharacteristic
490#61626—111nomaximal, Sylow
491C23×D11—21no—
492C23×D11C2×D411yescharacteristic
493C11×#41—22no—
494C11×#41—22no—
495C11×#41—41no—
496C11×#41—41no—
497C11×#41—41no—
498C11×#41—41no—
499C11×#41—41no—
500C11×#41—41no—
501C2×Q8×C11C2411yescharacteristic
502C2×Q8×C11C2411yescharacteristic
503C2×Q8×C11C2411yescharacteristic
504C2×D4×C11—21no—
505C2×D4×C11—21no—
506C2×D4×C11—21no—
507C2×D4×C11—21no—
508C2×D4×C11—21no—
509C2×D4×C11—21no—
510C2×D4×C11—21no—
511C2×D4×C11—21no—
512C2×D4×C11C2×D411yescharacteristic
513C2×D4×C11C2411yescharacteristic
514C2×D4×C11C2411yescharacteristic
515C2×D4×C11C2411yescharacteristic
516C22×C4×C11—21no—
517C22×C4×C11—21no—
518C22×C4×C11—21no—
519C22×C4×C11—21no—
520C22×C4×C11—21no—
521C22×C4×C11C2411yescharacteristic
522C22×C4×C11C2411yescharacteristic
523C2×C22⋊D11—21no—
524C2×C22⋊D11—21no—
525C2×C22⋊D11—21no—
526C2×C22⋊D11—21no—
527C2×C22⋊D11—21no—
528C2×C22⋊D11—21no—
529C2×C22⋊D11—21no—
530C2×C22⋊D11—21no—
531C2×C22⋊D11—21no—
532C2×C22⋊D11—21no—
533C2×C22⋊D11—21no—
534C2×C22⋊D11C2×D411yescharacteristic
535C2×C22⋊D11C2×D411yescharacteristic
536C2×C22⋊D11C2×D411yescharacteristic
537C2×C22⋊D11C2×D411yescharacteristic
538C22×Dic11—21no—
539C22×Dic11—21no—
540C22×Dic11—21no—
541C22×Dic11—21no—
542C22×Dic11—21no—
543C22×Dic11—21no—
544C22×Dic11—21no—
545C22×Dic11—21no—
546C22×Dic11—21no—
547C22×Dic11C2×D411yescharacteristic
548#4343—41no—
549#4343—41no—
550Q8×D11—22no—
551Q8×D11—22no—
552Q8×D11—41no—
553Q8×D11—41no—
554Q8×D11—41no—
555Q8×D11—41no—
556#4341—22no—
557#4341—22no—
558#4341—22no—
559#4341—41no—
560#4341—41no—
561#4341—41no—
562#4341—41no—
563#4341—41no—
564#4341—44no—
565#4341—44no—
566#4341—44no—
567D4×D11—22no—
568D4×D11—41no—
569D4×D11—44no—
570#4339—22no—
571#4339—41no—
572#4339—41no—
573#4339—41no—
574#4339—44no—
575#4339—44no—
576C2×D44—21no—
577C2×D44—21no—
578C2×D44C2×D411yescharacteristic
579C2×D44C2×D411yescharacteristic
580C2×D44C2411yescharacteristic
581C2×C4×D11—21no—
582C2×C4×D11—21no—
583C2×C4×D11—21no—
584C2×C4×D11—21no—
585C2×C4×D11—21no—
586C2×C4×D11—21no—
587C2×C4×D11—21no—
588C2×C4×D11—41no—
589C2×C4×D11—41no—
590C2×C4×D11—44no—
591C2×C4×D11C2×D411yescharacteristic
592C2×C4×D11C2×D411yescharacteristic
593C2×C4×D11C2411yescharacteristic
594C2×C4×D11C2411yescharacteristic
595C2×C4×D11C2411yescharacteristic
596C2×Dic22—22no—
597C2×Dic22—21no—
598C2×Dic22—21no—
599C2×Dic22—21no—
600C2×Dic22—21no—
601C2×Dic22—41no—
602C2×Dic22—44no—
603C2×Dic22C2×D411yescharacteristic
604C2×Dic22C2411yescharacteristic
605C2×Dic22C2411yescharacteristic
606C2×Dic22C2411yescharacteristic
607C11×Q16—41no—
608C11×Q16—41no—
609C11×SD16—22no—
610C11×SD16—41no—
611C11×SD16—41no—
612C11×SD16—41no—
613C11×SD16—41no—
614C11×D8—22no—
615C11×D8—22no—
616C2×C8×C11—41no—
617C2×C8×C11—41no—
618C2×C8×C11C2411yescharacteristic
619C2×C8×C11C2411yescharacteristic
620C2×C8×C11C2411yescharacteristic
621C2×C8×C11C2411yescharacteristic
622C11×C4⋊C4—21no—
623C11×C4⋊C4—21no—
624C11×C4⋊C4—21no—
625C11×C4⋊C4—21no—
626C11×C4⋊C4—21no—
627C11×C4⋊C4C2×D411yescharacteristic
628C11×C4⋊C4C2411yescharacteristic
629C11×C4⋊C4C2411yescharacteristic
630C11×C22⋊C4—21no—
631C11×C22⋊C4—21no—
632C11×C22⋊C4—21no—
633C11×C22⋊C4—21no—
634C11×C22⋊C4—21no—
635C11×C22⋊C4C2×D411yescharacteristic
636C11×C22⋊C4C2×D411yescharacteristic
637C42×C11—21no—
638C42×C11C2411yescharacteristic
639C22⋊Dic11—21no—
640C22⋊Dic11—21no—
641C22⋊Dic11—21no—
642C22⋊Dic11—21no—
643C22⋊Dic11—21no—
644C22⋊Dic11—21no—
645C22⋊Dic11—21no—
646C22⋊Dic11—21no—
647C22⋊Dic11—21no—
648C22⋊Dic11—21no—
649C22⋊Dic11—21no—
650C22⋊Dic11C2×D411yescharacteristic
651C22⋊Dic11C2×D411yescharacteristic
652#4326—22no—
653#4326—41no—
654#4326—41no—
655#4326—41no—
656#4325—41no—
657#4324—22no—
658#4324—22no—
659#4324—22no—
660#4324—41no—
661#4324—41no—
662#4323—41no—
663#4323—41no—
664(C2×D11)⋊C4—21no—
665(C2×D11)⋊C4—21no—
666(C2×D11)⋊C4—21no—
667(C2×D11)⋊C4—21no—
668(C2×D11)⋊C4—21no—
669(C2×D11)⋊C4—21no—
670(C2×D11)⋊C4—21no—
671(C2×D11)⋊C4—21no—
672(C2×D11)⋊C4—21no—
673(C2×D11)⋊C4—21no—
674(C2×D11)⋊C4—21no—
675(C2×D11)⋊C4—21no—
676(C2×D11)⋊C4—21no—
677(C2×D11)⋊C4—21no—
678(C2×D11)⋊C4C2×D411yescharacteristic
679(C2×D11)⋊C4C2×D411yescharacteristic
680(C2×D11)⋊C4C2×D411yescharacteristic
681(C2×D11)⋊C4C2×D411yescharacteristic
682(C2×D11)⋊C4C2×D411yescharacteristic
683(C2×D11)⋊C4C2×D411yescharacteristic
684C4⋊Dic11—21no—
685C4⋊Dic11—21no—
686C4⋊Dic11—21no—
687C4⋊Dic11—21no—
688C4⋊Dic11C2×D411yescharacteristic
689C4⋊Dic11C2411yescharacteristic
690C4⋊Dic11C2411yescharacteristic
691C4⋊Dic11C2411yescharacteristic
692C4⋊Dic11C2411yescharacteristic
693Dic11⋊C4—21no—
694Dic11⋊C4—21no—
695Dic11⋊C4—21no—
696Dic11⋊C4—21no—
697Dic11⋊C4—21no—
698Dic11⋊C4—21no—
699Dic11⋊C4—21no—
700Dic11⋊C4—21no—
701Dic11⋊C4—21no—
702Dic11⋊C4—21no—
703Dic11⋊C4—21no—
704Dic11⋊C4—21no—
705Dic11⋊C4—21no—
706Dic11⋊C4—21no—
707Dic11⋊C4—21no—
708Dic11⋊C4—21no—
709Dic11⋊C4—21no—
710Dic11⋊C4—21no—
711Dic11⋊C4—21no—
712Dic11⋊C4—21no—
713Dic11⋊C4C2×D411yescharacteristic
714Dic11⋊C4C2×D411yescharacteristic
715Dic11⋊C4C2×D411yescharacteristic
716Dic11⋊C4C2×D411yescharacteristic
717C4×Dic11—21no—
718C4×Dic11—21no—
719C4×Dic11—21no—
720C4×Dic11—21no—
721C4×Dic11—21no—
722C4×Dic11C2411yescharacteristic
723#4318—41no—
724C2×C11⋊C8—41no—
725C2×C11⋊C8C2411yescharacteristic
726C2×C11⋊C8C2411yescharacteristic
727C2×C11⋊C8C2411yescharacteristic
728C2×C11⋊C8C2411yescharacteristic
729Dic44—22no—
730Dic44—41no—
731#4314—41no—
732#4313—41no—
733#4313—41no—
734#4313—41no—
735C8×D11—41no—
736#3539—111no—
737#3489—111no—
738#3323—111no—
739#3322—111no—
740#3320—111no—
741#3315—111no—
742#3312—111no—
743#3307—111no—
744#3301—111no—
745#3300—111no—
746#3284D1111yescharacteristic, complemented
747#3283—111no—
748#3278—111no—
749#3276—111no—
750#3271—111no—
751#3269—111no—
752#3268—111no—
753#3267—111no—
754#3223—111no—
755#3221—111no—
756#3204—111no—
757#3203—111no—
758#3196—111no—
759#3190—111no—
760#3120—111no—
761#3119—111no—
762#3013—111no—
763#3013—111no—
764#3005—111no—
765#3002—111no—
766#2976—111no—
767C23×C11—21no—
768C23×C11—21no—
769C23×C11—21no—
770C23×C11C22×D411yescharacteristic
771C23×C11C22×D411yescharacteristic
772C22×D11—21no—
773C22×D11—41no—
774C22×D11—41no—
775C22×D11—41no—
776C22×D11—42no—
777C22×D11—42no—
778C22×D11—81no—
779C22×D11C22×D411yescharacteristic
780C22×D11C22×D411yescharacteristic
781C22×D11C22×D411yescharacteristic
782Q8×C11—21no—
783Q8×C11—21no—
784Q8×C11—21no—
785Q8×C11—21no—
786Q8×C11—21no—
787Q8×C11—21no—
788D4×C11—21no—
789D4×C11—21no—
790D4×C11—21no—
791D4×C11—21no—
792D4×C11—21no—
793D4×C11—41no—
794D4×C11—42no—
795D4×C11—42no—
796D4×C11—81no—
797D4×C11—81no—
798D4×C11—81no—
799D4×C11—81no—
800D4×C11—81no—
801D4×C11—81no—
802D4×C11H(5,𝔽2)12yes—
803C2×C4×C11—21no—
804C2×C4×C11—21no—
805C2×C4×C11—21no—
806C2×C4×C11—21no—
807C2×C4×C11—21no—
808C2×C4×C11—21no—
809C2×C4×C11—21no—
810C2×C4×C11—21no—
811C2×C4×C11—21no—
812C2×C4×C11—42no—
813C2×C4×C11—42no—
814C2×C4×C11—81no—
815C2×C4×C11—81no—
816C2×C4×C11—81no—
817C2×C4×C11C22×D411yescharacteristic
818C2×C4×C11C22×D411yescharacteristic
819C2×C4×C11C22×D411yescharacteristic
820C2×C4×C11C22×D411yescharacteristic
821C2×C4×C11C2511yescharacteristic
822C22⋊D11—24no—
823C22⋊D11—41no—
824C22⋊D11—41no—
825C22⋊D11—41no—
826C22⋊D11—41no—
827C22⋊D11—42no—
828C22⋊D11—42no—
829C22⋊D11—42no—
830C22⋊D11—81no—
831C22⋊D11—81no—
832C22⋊D11—81no—
833C22⋊D11—81no—
834C22⋊D11—81no—
835C22⋊D11—81no—
836C22⋊D11—81no—
837C2×Dic11—24no—
838C2×Dic11—21no—
839C2×Dic11—21no—
840C2×Dic11—21no—
841C2×Dic11—21no—
842C2×Dic11—21no—
843C2×Dic11—21no—
844C2×Dic11—21no—
845C2×Dic11—41no—
846C2×Dic11—42no—
847C2×Dic11—42no—
848C2×Dic11—81no—
849C2×Dic11—81no—
850C2×Dic11—81no—
851C2×Dic11—81no—
852C2×Dic11—81no—
853C2×Dic11—81no—
854C2×Dic11C22×D411yescharacteristic
855C2×Dic11C22×D411yescharacteristic
856C2×Dic11C22×D411yescharacteristic
857C2×Dic11C22×D411yescharacteristic
858C2×Dic11C22×D411yescharacteristic
859D44—21no—
860D44—21no—
861D44—41no—
862D44—41no—
863D44—42no—
864D44—81no—
865C4×D11—21no—
866C4×D11—21no—
867C4×D11—21no—
868C4×D11—21no—
869C4×D11—21no—
870C4×D11—21no—
871C4×D11—41no—
872C4×D11—41no—
873C4×D11—42no—
874C4×D11—42no—
875C4×D11—42no—
876C4×D11—42no—
877C4×D11—42no—
878C4×D11—81no—
879C4×D11—81no—
880Dic22—21no—
881Dic22—21no—
882Dic22—21no—
883Dic22—21no—
884Dic22—21no—
885Dic22—41no—
886Dic22—42no—
887Dic22—42no—
888Dic22—42no—
889Dic22—42no—
890Dic22H(5,𝔽2)12yes—
891C8×C11—21no—
892C8×C11—21no—
893C8×C11—21no—
894C8×C11—21no—
895C11⋊C8—21no—
896C11⋊C8—21no—
897C11⋊C8—21no—
898C11⋊C8—21no—
899C2×2−1+4—111no—
900C22×#41—111no—
901C2×#137—111no—
902C2×#137—111no—
903C2×#137—111no—
904C2×AGL(1,ℤ/8)—111no—
905C2×#135—111no—
906C2×#135—111no—
907C2×#135C2×D1111yescharacteristic
908C2×#135C2×D1111yescharacteristic, complemented
909#560—221no—
910#560—221no—
911#553—111no—
912#553—111no—
913#553—221no—
914#553—221no—
915#552—111no—
916#552—111no—
917#550—111no—
918#550C2×D1111yescharacteristic, complemented
919D4×Q8—111no—
920D4×Q8—111no—
921#548—111no—
922#548—111no—
923#547—111no—
924#547—111no—
925#547—111no—
926#547—221no—
927#547—221no—
928#547C2×D1111yescharacteristic
929#546—111no—
930#546—111no—
931#546—221no—
932#546—221no—
933#541—111no—
934#540—111no—
935#540—221no—
936#540—221no—
937#539—221no—
938#539—221no—
939#537—111no—
940#537—111no—
941#537—111no—
942#537—221no—
943#536—111no—
944#536—221no—
945#525—111no—
946#525—111no—
947#525—111no—
948#525—221no—
949C2×C22⋊Q8—111no—
950C2×C22⋊Q8—221no—
951#520—111no—
952#497—111no—
953#496—111no—
954#494—111no—
955#492C2×D1111yescharacteristic, complemented
956#491—111no—
957#491—111no—
958#488—111no—
959#488—111no—
960#485—111no—
961#485—111no—
962#485—111no—
963#485—111no—
964#484—111no—
965#484—111no—
966#483—111no—
967#483—111no—
968#481—111no—
969#481—111no—
970#480—111no—
971#480—111no—
972#479—111no—
973#479—111no—
974#478—111no—
975#478—111no—
976#470—111no—
977#470—111no—
978#470—111no—
979#469—111no—
980#468—111no—
981#468—111no—
982#468—111no—
983#468—111no—
984#467—111no—
985#467—111no—
986#467—111no—
987#466—111no—
988#465—111no—
989#465—111no—
990#465C2×D1111yescharacteristic, complemented
991#465C2×D1111yescharacteristic, complemented
992#464—111no—
993#464—111no—
994#463—111no—
995#463—111no—
996#462—111no—
997#462—111no—
998#462C2×D1111yescharacteristic, complemented
999#461—111no—
1000#461—111no—
1001#461—111no—
1002#460—111no—
1003#459C2×D1111yescharacteristic, complemented
1004#452—111no—
1005#452—111no—
1006#452—111no—
1007#452—111no—
1008#452—111no—
1009#452—111no—
1010#452—111no—
1011#452—111no—
1012#452—111no—
1013#452—111no—
1014#452—111no—
1015#452—111no—
1016#452C2×D1111yescharacteristic, complemented
1017#452C2×D1111yescharacteristic, complemented
1018#451—111no—
1019#451—111no—
1020#451—111no—
1021#451—111no—
1022#451—111no—
1023#450—111no—
1024#449—111no—
1025#449—111no—
1026#449—111no—
1027#449—111no—
1028#449—111no—
1029#449—111no—
1030#449—111no—
1031#449—111no—
1032#449C2×D1111yescharacteristic
1033#449C2×D1111yescharacteristic, complemented
1034#448—111no—
1035#448—111no—
1036#448—111no—
1037#448—111no—
1038#448—111no—
1039#447—111no—
1040#442—111no—
1041#441—111no—
1042#440—111no—
1043#440—111no—
1044C4×Q16—111no—
1045C4×SD16—111no—
1046C4×SD16C2×D1111yescharacteristic, complemented
1047C4×D8—111no—
1048#436—111no—
1049#436—111no—
1050#435—111no—
1051#435—111no—
1052#435—111no—
1053#435—111no—
1054C8×D4—111no—
1055C8×D4C2×D1111yescharacteristic, complemented
1056#433—111no—
1057#433—111no—
1058#419—111no—
1059#418—111no—
1060#417—111no—
1061#417—111no—
1062#416—111no—
1063#416—111no—
1064C2×#103—111no—
1065C2×#103—111no—
1066#408—111no—
1067#408—111no—
1068#407—111no—
1069C2×C22⋊C8—111no—
1070C22×C11—21no—
1071C22×C11—21no—
1072C22×C11—21no—
1073C22×C11—21no—
1074C22×C11—21no—
1075C22×C11—21no—
1076C22×C11—22no—
1077C22×C11—41no—
1078C22×C11—41no—
1079C22×C11—41no—
1080C22×C11—41no—
1081C22×C11—41no—
1082C22×C11—41no—
1083C22×C11—41no—
1084C22×C11—41no—
1085C22×C11C23×D411yescharacteristic
1086C2×D11—21no—
1087C2×D11—21no—
1088C2×D11—21no—
1089C2×D11—21no—
1090C2×D11—21no—
1091C2×D11—21no—
1092C2×D11—21no—
1093C2×D11—21no—
1094C2×D11—21no—
1095C2×D11—41no—
1096C2×D11—41no—
1097C2×D11—41no—
1098C2×D11—82no—
1099C2×D11—84no—
1100C4×C11—21no—
1101C4×C11—21no—
1102C4×C11—21no—
1103C4×C11—21no—
1104C4×C11—41no—
1105C4×C11—41no—
1106C4×C11—41no—
1107C4×C11—41no—
1108C4×C11—41no—
1109C4×C11C2×H(5,𝔽2)11yescharacteristic
1110C4×C11C2×H(5,𝔽2)11yescharacteristic
1111Dic11—21no—
1112Dic11—21no—
1113Dic11—22no—
1114Dic11—21no—
1115Dic11—21no—
1116Dic11—21no—
1117Dic11—41no—
1118Dic11—41no—
1119Dic11—41no—
1120Dic11—41no—
1121Dic11—41no—
1122Dic11—41no—
11232−1+4—442no—
11242−1+4—442no—
1125C2×#41—111no—
1126C2×#41—111no—
1127C2×#41—111no—
1128C2×#41—111no—
1129C2×#41—111no—
1130C2×#41—111no—
1131C2×#41—111no—
1132C2×#41—221no—
1133C2×#41—221no—
1134C2×#41—221no—
1135C2×#41—221no—
1136C2×#41—221no—
1137C2×#41—442no—
1138C2×#41—442no—
1139C2×#41C22×D1111yescharacteristic
1140C2×#41C22×D1111yescharacteristic
1141C2×#41C22×D1111yescharacteristic
1142C2×#41C22×D1111yescharacteristic
1143C22×Q8—111no—
1144C22×Q8—111no—
1145C22×Q8—111no—
1146C22×Q8—111no—
1147C22×Q8—221no—
1148C22×D4—111no—
1149C22×D4—221no—
1150C23×C4—111no—
1151C23×C4—221no—
1152#137—442no—
1153#137—442no—
1154#137—442no—
1155AGL(1,ℤ/8)—442no—
1156#135—42no—
1157#135—42no—
1158#135—442no—
1159#135—442no—
1160C2×Q16—111no—
1161C2×Q16—111no—
1162C2×Q16—111no—
1163C2×Q16—111no—
1164C2×Q16—111no—
1165C2×Q16—111no—
1166C2×Q16C22×D1111yescharacteristic
1167C2×Q16C22×D1111yescharacteristic
1168C2×SD16—111no—
1169C2×SD16—111no—
1170C2×SD16—111no—
1171C2×SD16—111no—
1172C2×SD16—111no—
1173C2×SD16—111no—
1174C2×SD16—111no—
1175C2×SD16C22×D1111yescharacteristic
1176C2×SD16C22×D1111yescharacteristic
1177C2×SD16C22×D1111yescharacteristic
1178C2×SD16C22×D1111yescharacteristic
1179C2×SD16C22×D1111yescharacteristic
1180C2×D8—111no—
1181C2×D8—111no—
1182C2×D8C22×D1111yescharacteristic
1183C2×D8C22×D1111yescharacteristic
1184C2×M16—111no—
1185C2×M16—111no—
1186C2×M16—111no—
1187C2×M16—111no—
1188C22×C8—111no—
1189C22×C8—111no—
1190C22×C8C22×D1111yescharacteristic
1191C22×C8C22×D1111yescharacteristic
1192C4⋊Q8—111no—
1193C4⋊Q8—111no—
1194C4⋊Q8—221no—
1195C4⋊Q8—221no—
1196C4⋊Q8C22×D1111yescharacteristic
1197#127—21no—
1198#127—221no—
1199#127C22×D1111yescharacteristic
1200#126—221no—
1201#126—221no—
1202#126—221no—
1203#126—221no—
1204#126—221no—
1205#126—221no—
1206#125—111no—
1207#125—111no—
1208#125—221no—
1209#125—221no—
1210#125—221no—
1211#125—221no—
1212#124—111no—
1213#124—111no—
1214#124—221no—
1215#124—221no—
1216#123—21no—
1217#123—21no—
1218#123—111no—
1219#123—111no—
1220#123—221no—
1221#123—221no—
1222#123—221no—
1223#123—221no—
1224#123—221no—
1225#123—221no—
1226#123—221no—
1227#123—221no—
1228#123—221no—
1229#123—221no—
1230#123—221no—
1231#123—221no—
1232#123—221no—
1233#123—221no—
1234#123—221no—
1235#123—221no—
1236#123—221no—
1237#123—221no—
1238C22⋊Q8—111no—
1239C22⋊Q8—111no—
1240C22⋊Q8—111no—
1241C22⋊Q8—111no—
1242C22⋊Q8—111no—
1243C22⋊Q8—111no—
1244C22⋊Q8—111no—
1245C22⋊Q8—111no—
1246C22⋊Q8—111no—
1247C22⋊Q8—111no—
1248C22⋊Q8—111no—
1249C22⋊Q8—111no—
1250C22⋊Q8—221no—
1251C22⋊Q8—221no—
1252C22⋊Q8—221no—
1253C22⋊Q8—221no—
1254C22⋊Q8—221no—
1255C22⋊Q8—221no—
1256C22⋊Q8—221no—
1257C22⋊Q8—221no—
1258C22⋊Q8—221no—
1259C22⋊Q8—221no—
1260C22⋊Q8—221no—
1261C22⋊Q8—221no—
1262C22⋊Q8—221no—
1263C22⋊Q8C22×D1111yescharacteristic
1264C22⋊Q8C22×D1111yescharacteristic
1265#121—21no—
1266#121—21no—
1267#121—21no—
1268#121—111no—
1269#121—111no—
1270#121—111no—
1271#121—111no—
1272#121—111no—
1273#121—111no—
1274#121—111no—
1275#121—111no—
1276#121—221no—
1277#121—221no—
1278#121—221no—
1279#121—221no—
1280#121—221no—
1281#121—221no—
1282#121—221no—
1283#121—221no—
1284#121—221no—
1285#121—221no—
1286#121—221no—
1287#121—221no—
1288#121—221no—
1289#121—221no—
1290#121—221no—
1291#121—221no—
1292#121—221no—
1293#121—221no—
1294#121—221no—
1295#121—221no—
1296#121—221no—
1297#121—221no—
1298#121C22×D1111yescharacteristic
1299#121C22×D1111yescharacteristic
1300#120—111no—
1301#120—111no—
1302#120—221no—
1303#120—221no—
1304#120—221no—
1305#120—221no—
1306C4×Q8—111no—
1307C4×Q8—111no—
1308C4×Q8—111no—
1309C4×Q8C22×D1111yescharacteristic
1310C4×D4—21no—
1311C4×D4—111no—
1312C4×D4—111no—
1313C4×D4—111no—
1314C4×D4—111no—
1315C4×D4—111no—
1316C4×D4—111no—
1317C4×D4—221no—
1318C4×D4—221no—
1319C4×D4—221no—
1320C4×D4—221no—
1321C4×D4—221no—
1322C4×D4—221no—
1323C4×D4—221no—
1324C4×D4—221no—
1325C4×D4—221no—
1326C4×D4—221no—
1327C4×D4—221no—
1328C4×D4—221no—
1329C4×D4—221no—
1330C4×D4C22×D1111yescharacteristic
1331C4×D4C22×D1111yescharacteristic
1332#117—111no—
1333#117—111no—
1334#117—111no—
1335#117—221no—
1336#117—221no—
1337#117—221no—
1338C2×C4⋊C4—21no—
1339C2×C4⋊C4—111no—
1340C2×C4⋊C4—111no—
1341C2×C4⋊C4—111no—
1342C2×C4⋊C4—221no—
1343C2×C4⋊C4—221no—
1344C2×C4⋊C4—221no—
1345C2×C4⋊C4—221no—
1346C2×C4⋊C4—221no—
1347C2×C22⋊C4—221no—
1348C2×C22⋊C4—221no—
1349C2×C22⋊C4—221no—
1350#107—111no—
1351#107—111no—
1352#107—111no—
1353#107—111no—
1354#106—111no—
1355#106—111no—
1356#106—111no—
1357#106C22×D1111yescharacteristic
1358C4⋊C8—111no—
1359C4⋊C8—111no—
1360C4⋊C8—111no—
1361C4⋊C8C22×D1111yescharacteristic
1362#103—111no—
1363#103—111no—
1364#103—111no—
1365#103—111no—
1366#103—111no—
1367#103—111no—
1368#103—111no—
1369#103—111no—
1370#103—111no—
1371#103—111no—
1372#103—111no—
1373#103—111no—
1374#103—111no—
1375#103—111no—
1376#103—111no—
1377#103—111no—
1378#103—111no—
1379#103C22×D1111yescharacteristic
1380#103C22×D1111yescharacteristic
1381#103C22×D1111yescharacteristic
1382#102—111no—
1383#102—111no—
1384#102—111no—
1385#102—111no—
1386#102—111no—
1387#102—111no—
1388#102—111no—
1389#102—111no—
1390#102—111no—
1391#102C22×D1111yescharacteristic
1392#102C22×D1111yescharacteristic
1393#102C22×D1111yescharacteristic
1394C22⋊C8—111no—
1395C22⋊C8—111no—
1396C22⋊C8—111no—
1397C22⋊C8—111no—
1398C22⋊C8—111no—
1399C22⋊C8—111no—
1400C22⋊C8—111no—
1401C22⋊C8—111no—
1402C22⋊C8—111no—
1403C22⋊C8—111no—
1404C22⋊C8C22×D1111yescharacteristic
1405C22⋊C8C22×D1111yescharacteristic
1406#97—111no—
1407#97—111no—
1408C4×C8—111no—
1409C4×C8C22×D1111yescharacteristic
1410C2×C11—41no—
1411C2×C11—42no—
1412C2×C11—41no—
1413C2×C11—81no—
1414C2×C11—81no—
1415C2×C11#348411yescharacteristic
1416C2×C11#358411yescharacteristic
1417C2×C11#358611yescharacteristic
1418D11—41no—
1419D11—41no—
1420D11—41no—
1421D11—81no—
1422C24—111no—
1423C24—221no—
1424#41—22no—
1425#41—22no—
1426#41—41no—
1427#41—41no—
1428#41—41no—
1429#41—41no—
1430#41—41no—
1431#41—41no—
1432#41—222no—
1433#41—222no—
1434#41—222no—
1435#41—222no—
1436#41—441no—
1437#41—441no—
1438#41—441no—
1439#41—444no—
1440#41—444no—
1441#41—441no—
1442#41—444no—
1443#41—444no—
1444#41—441no—
1445#41—441no—
1446#41—441no—
1447#41—441no—
1448#41—441no—
1449#41—441no—
1450#41—444no—
1451C2×Q8—111no—
1452C2×Q8—111no—
1453C2×Q8—111no—
1454C2×Q8—111no—
1455C2×Q8—221no—
1456C2×Q8—221no—
1457C2×Q8—221no—
1458C2×Q8—222no—
1459C2×Q8—221no—
1460C2×Q8—222no—
1461C2×Q8—222no—
1462C2×Q8—441no—
1463C2×Q8—444no—
1464C2×Q8—441no—
1465C2×Q8—441no—
1466C2×Q8—441no—
1467C2×Q8—441no—
1468C2×Q8C23×D1111yescharacteristic
1469C2×Q8C23×D1111yescharacteristic
1470C2×Q8C23×D1111yescharacteristic
1471C2×D4—21no—
1472C2×D4—21no—
1473C2×D4—21no—
1474C2×D4—21no—
1475C2×D4—21no—
1476C2×D4—21no—
1477C2×D4—21no—
1478C2×D4—21no—
1479C2×D4—111no—
1480C2×D4—111no—
1481C2×D4—111no—
1482C2×D4—111no—
1483C2×D4—111no—
1484C2×D4—111no—
1485C2×D4—111no—
1486C2×D4—221no—
1487C2×D4—221no—
1488C2×D4—221no—
1489C2×D4—221no—
1490C2×D4—222no—
1491C2×D4—221no—
1492C2×D4—221no—
1493C2×D4—221no—
1494C2×D4—221no—
1495C2×D4—221no—
1496C2×D4—221no—
1497C2×D4—221no—
1498C2×D4—221no—
1499C2×D4—221no—
1500C2×D4—441no—
1501C2×D4—444no—
1502C2×D4D4×D1111yescharacteristic
1503C2×D4C23×D1111yescharacteristic
1504C2×D4C23×D1111yescharacteristic
1505C2×D4C23×D1111yescharacteristic
1506C22×C4—21no—
1507C22×C4—21no—
1508C22×C4—21no—
1509C22×C4—21no—
1510C22×C4—21no—
1511C22×C4—111no—
1512C22×C4—111no—
1513C22×C4—111no—
1514C22×C4—111no—
1515C22×C4—111no—
1516C22×C4—111no—
1517C22×C4—221no—
1518C22×C4—221no—
1519C22×C4—221no—
1520C22×C4—221no—
1521C22×C4—221no—
1522C22×C4—221no—
1523C22×C4—221no—
1524C22×C4—221no—
1525C22×C4—221no—
1526C22×C4—221no—
1527C22×C4—221no—
1528C22×C4—221no—
1529C22×C4—221no—
1530C22×C4—221no—
1531C22×C4—221no—
1532C22×C4—221no—
1533C22×C4—441no—
1534C22×C4—441no—
1535C22×C4—444no—
1536C22×C4C23×D1111yescharacteristic
1537C22×C4C23×D1111yescharacteristic
1538Q16—41no—
1539Q16—41no—
1540Q16—222no—
1541Q16—222no—
1542Q16—441no—
1543Q16—441no—
1544Q16—441no—
1545Q16—441no—
1546SD16—22no—
1547SD16—41no—
1548SD16—41no—
1549SD16—41no—
1550SD16—41no—
1551SD16—222no—
1552SD16—222no—
1553SD16—222no—
1554SD16—441no—
1555SD16—441no—
1556SD16—441no—
1557SD16—441no—
1558D8—22no—
1559D8—22no—
1560D8—441no—
1561D8—441no—
1562M16—441no—
1563M16—441no—
1564M16—441no—
1565M16—441no—
1566C2×C8—41no—
1567C2×C8—41no—
1568C2×C8—111no—
1569C2×C8—111no—
1570C2×C8—111no—
1571C2×C8—111no—
1572C2×C8—441no—
1573C2×C8—441no—
1574C2×C8C23×D1111yescharacteristic
1575C2×C8C23×D1111yescharacteristic
1576C2×C8C23×D1111yescharacteristic
1577C2×C8C23×D1111yescharacteristic
1578C4⋊C4—21no—
1579C4⋊C4—21no—
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—21no—
1583C4⋊C4—111no—
1584C4⋊C4—111no—
1585C4⋊C4—111no—
1586C4⋊C4—111no—
1587C4⋊C4—111no—
1588C4⋊C4—111no—
1589C4⋊C4—111no—
1590C4⋊C4—111no—
1591C4⋊C4—111no—
1592C4⋊C4—221no—
1593C4⋊C4—221no—
1594C4⋊C4—221no—
1595C4⋊C4—221no—
1596C4⋊C4—221no—
1597C4⋊C4—221no—
1598C4⋊C4—221no—
1599C4⋊C4—221no—
1600C4⋊C4—221no—
1601C4⋊C4—221no—
1602C4⋊C4—221no—
1603C4⋊C4—221no—
1604C4⋊C4—221no—
1605C4⋊C4—221no—
1606C4⋊C4—221no—
1607C4⋊C4—221no—
1608C4⋊C4—221no—
1609C4⋊C4—221no—
1610C4⋊C4—221no—
1611C4⋊C4—221no—
1612C4⋊C4—221no—
1613C4⋊C4—221no—
1614C4⋊C4—221no—
1615C4⋊C4—221no—
1616C4⋊C4D4×D1111yescharacteristic
1617C4⋊C4C23×D1111yescharacteristic
1618C4⋊C4C23×D1111yescharacteristic
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—111no—
1625C22⋊C4—111no—
1626C22⋊C4—111no—
1627C22⋊C4—111no—
1628C22⋊C4—111no—
1629C22⋊C4—111no—
1630C22⋊C4—111no—
1631C22⋊C4—111no—
1632C22⋊C4—221no—
1633C22⋊C4—221no—
1634C22⋊C4—221no—
1635C22⋊C4—221no—
1636C22⋊C4—221no—
1637C22⋊C4—221no—
1638C22⋊C4—221no—
1639C22⋊C4—221no—
1640C22⋊C4—221no—
1641C22⋊C4—221no—
1642C22⋊C4—221no—
1643C22⋊C4—221no—
1644C22⋊C4—221no—
1645C22⋊C4—221no—
1646C22⋊C4—221no—
1647C22⋊C4—221no—
1648C22⋊C4—221no—
1649C22⋊C4—221no—
1650C22⋊C4—221no—
1651C22⋊C4—221no—
1652C22⋊C4—221no—
1653C22⋊C4—221no—
1654C22⋊C4—221no—
1655C22⋊C4—221no—
1656C22⋊C4—221no—
1657C22⋊C4D4×D1111yescharacteristic
1658C22⋊C4D4×D1111yescharacteristic
1659C42—21no—
1660C42—111no—
1661C42—221no—
1662C42—221no—
1663C42—221no—
1664C42—221no—
1665C42—221no—
1666C42C23×D1111yescharacteristic
1667C11#6162611yescharacteristic, complemented, Sylow
1668C23—21no—
1669C23—21no—
1670C23—21no—
1671C23—111no—
1672C23—111no—
1673C23—111no—
1674C23—221no—
1675C23—441no—
1676C23—441no—
1677C23—441no—
1678C23—442no—
1679C23—442no—
1680C23—881no—
1681C23C2×D4×D1111yescharacteristic
1682C23C2×D4×D1111yescharacteristic
1683Q8—21no—
1684Q8—21no—
1685Q8—21no—
1686Q8—21no—
1687Q8—21no—
1688Q8—21no—
1689Q8—112no—
1690Q8—221no—
1691Q8—221no—
1692Q8—221no—
1693Q8—221no—
1694Q8—221no—
1695Q8—441no—
1696Q8—442no—
1697Q8—442no—
1698Q8—442no—
1699Q8—442no—
1700D4—21no—
1701D4—21no—
1702D4—21no—
1703D4—21no—
1704D4—21no—
1705D4—41no—
1706D4—42no—
1707D4—42no—
1708D4—81no—
1709D4—81no—
1710D4—81no—
1711D4—81no—
1712D4—81no—
1713D4—81no—
1714D4—224no—
1715D4—221no—
1716D4—221no—
1717D4—441no—
1718D4—441no—
1719D4—442no—
1720D4—441no—
1721D4—441no—
1722D4—441no—
1723D4—441no—
1724D4—442no—
1725D4—442no—
1726D4—442no—
1727D4—881no—
1728D4—881no—
1729D4—881no—
1730D4—881no—
1731D4—881no—
1732D4—881no—
1733D4—881no—
1734D4—881no—
1735D4#6703712yes—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—42no—
1746C2×C4—42no—
1747C2×C4—81no—
1748C2×C4—81no—
1749C2×C4—81no—
1750C2×C4—111no—
1751C2×C4—111no—
1752C2×C4—111no—
1753C2×C4—111no—
1754C2×C4—111no—
1755C2×C4—224no—
1756C2×C4—221no—
1757C2×C4—221no—
1758C2×C4—221no—
1759C2×C4—221no—
1760C2×C4—221no—
1761C2×C4—221no—
1762C2×C4—221no—
1763C2×C4—221no—
1764C2×C4—221no—
1765C2×C4—221no—
1766C2×C4—221no—
1767C2×C4—221no—
1768C2×C4—221no—
1769C2×C4—441no—
1770C2×C4—441no—
1771C2×C4—442no—
1772C2×C4—442no—
1773C2×C4—442no—
1774C2×C4—442no—
1775C2×C4—442no—
1776C2×C4—441no—
1777C2×C4—442no—
1778C2×C4—442no—
1779C2×C4—881no—
1780C2×C4—881no—
1781C2×C4—881no—
1782C2×C4—881no—
1783C2×C4—881no—
1784C2×C4—881no—
1785C2×C4—881no—
1786C2×C4—881no—
1787C2×C4C2×D4×D1111yescharacteristic
1788C2×C4C2×D4×D1111yescharacteristic
1789C2×C4C2×D4×D1111yescharacteristic
1790C2×C4C2×D4×D1111yescharacteristic
1791C2×C4C24×D1111yescharacteristic
1792C8—21no—
1793C8—21no—
1794C8—21no—
1795C8—21no—
1796C8—221no—
1797C8—221no—
1798C8—221no—
1799C8—221no—
1800C22—21no—
1801C22—21no—
1802C22—21no—
1803C22—21no—
1804C22—22no—
1805C22—21no—
1806C22—21no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—221no—
1816C22—221no—
1817C22—221no—
1818C22—221no—
1819C22—221no—
1820C22—221no—
1821C22—221no—
1822C22—221no—
1823C22—221no—
1824C22—441no—
1825C22—441no—
1826C22—441no—
1827C22—882no—
1828C22—884no—
1829C22C22×D4×D1111yescharacteristic
1830C4—21no—
1831C4—21no—
1832C4—21no—
1833C4—21no—
1834C4—41no—
1835C4—41no—
1836C4—41no—
1837C4—41no—
1838C4—41no—
1839C4—221no—
1840C4—221no—
1841C4—221no—
1842C4—221no—
1843C4—222no—
1844C4—221no—
1845C4—441no—
1846C4—441no—
1847C4—441no—
1848C4—441no—
1849C4—441no—
1850C4—441no—
1851C4C2×#6703711yescharacteristic
1852C4D11×H(5,𝔽2)11yescharacteristic
1853C2—41no—
1854C2—41no—
1855C2—42no—
1856C2—81no—
1857C2—81no—
1858C2—441no—
1859C2—441no—
1860C2—441no—
1861C2—881no—
1862C2#1308224411yescharacteristic
1863C2#1308338511yescharacteristic
1864C2#1308339811yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3284C2
socleC22×C11C23×D4
hypercenter#3284D11
hypocenterC11#61626
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3284

Complements

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

NH ≅ G/Ntype
1. #13082867C2semidirect
2. #13082290C2semidirect
3. #13080837C2semidirect
4. #13080810C2semidirect
5. #13080793C2semidirect
6. #13080712C2semidirect
7. #13080674C2semidirect
8. #13080596C2semidirect
9. #13080513C2semidirect
10. #13080505C2semidirect
11. #13080332C2semidirect
12. #13080281C2semidirect
13. #13080260C2semidirect
14. #13080197C2semidirect
15. #13080175C2semidirect
16. #13080162C2semidirect
17. #13080141C2semidirect
18. #13079698C2semidirect
19. #13079670C2semidirect
20. #13079521C2semidirect
21. #13079517C2semidirect
22. #13079444C2semidirect
23. #13079392C2semidirect
24. #13078826C2semidirect
25. #13078812C2semidirect
26. #13077929C2semidirect
27. #13077927C2semidirect
28. #13077854C2semidirect
29. #13077830C2semidirect
30. #13077658C2semidirect
31. C11×#3284C2semidirect
35. C2×C11×#135C22semidirect
36. C11×#550C22semidirect
38. #10623364C22semidirect
43. #10623355C22semidirect
44. C2×#67004C22semidirect
47. C2×#66968C22semidirect
48. C2×#66965C22semidirect
54. #10623250C22semidirect
67. #10623145C22semidirect
69. #10623139C22semidirect
74. #10623114C22semidirect
81. #10623072C22semidirect
85. C11×#492C22semidirect
86. C11×#465C22semidirect
87. C11×#465C22semidirect
88. C11×#462C22semidirect
89. C11×#459C22semidirect
90. C11×#452C22semidirect
91. C11×#452C22semidirect
93. C11×#449C22semidirect
94. C4×C11×SD16C22semidirect
95. C8×D4×C11C22semidirect
97. #10622852C22semidirect
98. #10622852C22semidirect
99. #10622851C22semidirect
101. #10622845C22semidirect
102. #10622803C22semidirect
104. #10622801C22semidirect
107. #10622799C22semidirect
108. #10622799C22semidirect
109. #10622794C22semidirect
111. #10622787C22semidirect
114. #10622786C22semidirect
115. #10622786C22semidirect
119. #10622783C22semidirect
120. #10622783C22semidirect
121. #10622783C22semidirect
123. #10622778C22semidirect
124. #10622778C22semidirect
125. #10622775C22semidirect
126. #10622775C22semidirect
127. #10622775C22semidirect
130. #10622771C22semidirect
132. #10622765C22semidirect
133. D8×Dic11C22semidirect
134. #10622729C22semidirect
135. #10622727C22semidirect
138. #10622723C22semidirect
139. C8×C22⋊D11C22semidirect
141. C2×#66880C22semidirect
142. #10622703C22semidirect
143. #10622695C22semidirect
144. #10622688C22semidirect
145. #10622687C22semidirect
146. #10622665C22semidirect
147. #10622664C22semidirect
148. #10622658C22semidirect
149. #10622657C22semidirect
150. #10622654C22semidirect
151. #10622653C22semidirect
152. #10622652C22semidirect
154. #10622643C22semidirect
155. #10622641C22semidirect
156. #10622631C22semidirect
157. #10622624C22semidirect
158. #10622622C22semidirect
160. #10622476C22semidirect
161. #10622475C22semidirect
162. #10622470C22semidirect
163. #10622458C22semidirect
164. #10622453C22semidirect
166. #10622442C22semidirect
169. #10622425C22semidirect
171. #10622422C22semidirect
172. #10622421C22semidirect
173. #10622418C22semidirect
175. D11×#103C22semidirect
176. #10622413C22semidirect
177. #10622410C22semidirect
178. #10622406C22semidirect
181. #10622394C22semidirect
183. #10622390C22semidirect
184. #10622388C22semidirect
185. #10622387C22semidirect
186. #10622384C22semidirect
188. #10622379C22semidirect
189. #10622371C22semidirect
190. #10622370C22semidirect
191. #10622352C22semidirect
192. #10622349C22semidirect
194. #10622343C22semidirect
196. #10622340C22semidirect
198. #10622336C22semidirect
199. C4×Dic44C22semidirect
200. #10622310C22semidirect
201. #10622303C22semidirect
746. #3284D11semidirect
908. C2×#135C2×D11semidirect
918. #550C2×D11semidirect
955. #492C2×D11semidirect
990. #465C2×D11semidirect
991. #465C2×D11semidirect
998. #462C2×D11semidirect
1003. #459C2×D11semidirect
1016. #452C2×D11semidirect
1017. #452C2×D11semidirect
1033. #449C2×D11semidirect
1046. C4×SD16C2×D11semidirect
1055. C8×D4C2×D11semidirect
1667. C11#61626semidirect

Maximal subgroups

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

subgroupindex
#130828672
#130822902
#130808372
#130808102
#130807932
#130807122
#130806742
#130805962
#130805132
#130805052
#130803322
#130802812
#130802602
#130801972
#130801752
#130801622
#130801412
#130796982
#130796702
#130795212
#130795172
#130794442
#130793922
#130788262
#130788122
#130779292
#130779272
#130778542
#130778302
#130776582
C11×#32842
#6162611