Finite Group Databasebeta

← #15640435

Subgroups — #15640435

Order 2816.

2110 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082995C211yesmaximal, characteristic, complemented
2#13082375C211yesmaximal, characteristic, complemented
3#13080928C211yesmaximal, characteristic, complemented
4#13080851C211yesmaximal, characteristic, complemented
5#13080836C211yesmaximal, characteristic, complemented
6#13080833C211yesmaximal, characteristic, complemented
7#13080537C211yesmaximal, characteristic, complemented
8#13080447C211yesmaximal, characteristic, complemented
9#13080444C211yesmaximal, characteristic, complemented
10#13080436C211yesmaximal, characteristic, complemented
11#13080332C211yesmaximal, characteristic, complemented
12#13080327C211yesmaximal, characteristic, complemented
13#13080317C211yesmaximal, characteristic, complemented
14#13080310C211yesmaximal, characteristic, complemented
15#13080260C211yesmaximal, characteristic, complemented
16#13080247C211yesmaximal, characteristic, complemented
17#13080245C211yesmaximal, characteristic, complemented
18#13080210C211yesmaximal, characteristic, complemented
19#13079589C211yesmaximal, characteristic, complemented
20#13079570C211yesmaximal, characteristic, complemented
21#13079525C211yesmaximal, characteristic, complemented
22#13079522C211yesmaximal, characteristic, complemented
23#13079500C211yesmaximal, characteristic, complemented
24#13079497C211yesmaximal, characteristic, complemented
25#13078658C211yesmaximal, characteristic, complemented
26#13078619C211yesmaximal, characteristic, complemented
27#13077915C211yesmaximal, characteristic, complemented
28#13077893C211yesmaximal, characteristic, complemented
29#13077888C211yesmaximal, characteristic, complemented
30#13077680C211yesmaximal, characteristic, complemented
31C11×#3012C211yesmaximal, characteristic, complemented
32C2×C11×H(5,𝔽2)C2211yescharacteristic
33C2×#67037C2211yescharacteristic
34C2×C11×AGL(1,ℤ/8)C2211yescharacteristic, complemented
35C2×C11×#135C2211yescharacteristic, complemented
36C11×#537C2211yescharacteristic, complemented
37#10623364C2211yescharacteristic
38#10623364C2211yescharacteristic
39#10623363C2211yescharacteristic
40#10623363C2211yescharacteristic
41#10623362C2211yescharacteristic, complemented
42#10623360—21no—
43#10623360C2211yescharacteristic
44#10623360C2211yescharacteristic
45#10623356C2211yescharacteristic, complemented
46#10623355—21no—
47#10623355C2211yescharacteristic
48#10623355C2211yescharacteristic
49#10623355C2211yescharacteristic, complemented
50C2×#67004C2211yescharacteristic, complemented
51#10623337—21no—
52#10623337C2211yescharacteristic
53#10623337C2211yescharacteristic
54#10623335—21no—
55#10623335—21no—
56C2×#66992—21no—
57C2×#66992—21no—
58D4×C22⋊D11—21no—
59D4×C22⋊D11C2211yescharacteristic
60D4×C22⋊D11C2211yescharacteristic
61C2×D4×Dic11C2211yescharacteristic
62C22×#4324C2211yescharacteristic, complemented
63C2×#66968C2211yescharacteristic, complemented
64C2×SD16×D11C2211yescharacteristic, complemented
65C2×#66965C2211yescharacteristic, complemented
66C2×#66964C2211yescharacteristic, complemented
67#10623171—21no—
68#10623170C2211yescharacteristic, complemented
69#10623163C2211yescharacteristic, complemented
70#10623159C2211yescharacteristic, complemented
71#10623154—21no—
72#10623153C2211yescharacteristic, complemented
73#10623152—21no—
74#10623152—21no—
75#10623147—21no—
76#10623147C2211yescharacteristic, complemented
77#10623146—21no—
78#10623139C2211yescharacteristic, complemented
79#10623134—21no—
80#10623132—21no—
81#10623131C2211yescharacteristic, complemented
82#10623129C2211yescharacteristic, complemented
83#10623044C2211yescharacteristic, complemented
84#10623042C2211yescharacteristic, complemented
85C11×#452C2211yescharacteristic, complemented
86C11×#452C2211yescharacteristic, complemented
87C11×#450C2211yescharacteristic
88C11×#450C2211yescharacteristic, complemented
89C11×#449C2211yescharacteristic, complemented
90C11×#449C2211yescharacteristic, complemented
91C11×#447C2211yescharacteristic
92C11×#447C2211yescharacteristic, complemented
93C11×#417C2211yescharacteristic, complemented
94C2×C11×#102C2211yescharacteristic, complemented
95C11×#408C2211yescharacteristic, complemented
96#10622852C2211yescharacteristic, complemented
97#10622852C2211yescharacteristic, complemented
98#10622852C2211yescharacteristic, complemented
99#10622852C2211yescharacteristic, complemented
100#10622852C2211yescharacteristic, complemented
101#10622851C2211yescharacteristic, complemented
102#10622847C2211yescharacteristic, complemented
103#10622846C2211yescharacteristic, complemented
104#10622831C2211yescharacteristic
105#10622831C2211yescharacteristic
106#10622831C2211yescharacteristic, complemented
107#10622831C2211yescharacteristic, complemented
108#10622828C2211yescharacteristic, complemented
109#10622801C2211yescharacteristic, complemented
110#10622799C2211yescharacteristic, complemented
111#10622798C2211yescharacteristic, complemented
112#10622794C2211yescharacteristic, complemented
113#10622788C2211yescharacteristic, complemented
114#10622787C2211yescharacteristic, complemented
115#10622786C2211yescharacteristic, complemented
116#10622786C2211yescharacteristic, complemented
117#10622784C2211yescharacteristic, complemented
118#10622783C2211yescharacteristic, complemented
119#10622782C2211yescharacteristic, complemented
120#10622781C2211yescharacteristic, complemented
121#10622779C2211yescharacteristic, complemented
122#10622775C2211yescharacteristic, complemented
123#10622775C2211yescharacteristic, complemented
124#10622775C2211yescharacteristic, complemented
125SD16×Dic11C2211yescharacteristic, complemented
126SD16×Dic11C2211yescharacteristic, complemented
127#10622772C2211yescharacteristic, complemented
128#10622771C2211yescharacteristic, complemented
129#10622771C2211yescharacteristic, complemented
130#10622769C2211yescharacteristic, complemented
131#10622768C2211yescharacteristic, complemented
132#10622766C2211yescharacteristic, complemented
133#10622766C2211yescharacteristic, complemented
134#10622763C2211yescharacteristic, complemented
135D8×Dic11C2211yescharacteristic, complemented
136D8×Dic11C2211yescharacteristic, complemented
137#10622750C2211yescharacteristic, complemented
138#10622747C2211yescharacteristic, complemented
139#10622741C2211yescharacteristic, complemented
140#10622741C2211yescharacteristic, complemented
141#10622729C2211yescharacteristic, complemented
142#10622727C2211yescharacteristic, complemented
143C8×C22⋊D11C2211yescharacteristic, complemented
144C8×C22⋊D11C2211yescharacteristic, complemented
145#10622665C2211yescharacteristic, complemented
146#10622661C2211yescharacteristic, complemented
147#10622660C2211yescharacteristic, complemented
148#10622656C2211yescharacteristic, complemented
149#10622654C2211yescharacteristic, complemented
150#10622652C2211yescharacteristic, complemented
151#10622650C2211yescharacteristic, complemented
152#10622647C2211yescharacteristic, complemented
153#10622584C2211yescharacteristic, complemented
154#10622581C2211yescharacteristic, complemented
155#10622429C2211yescharacteristic, complemented
156#10622429C2211yescharacteristic, complemented
157#10622427C2211yescharacteristic, complemented
158#10622418C2211yescharacteristic, complemented
159#10622413C2211yescharacteristic, complemented
160#10622411C2211yescharacteristic, complemented
161#10622406C2211yescharacteristic, complemented
162#10622405C2211yescharacteristic, complemented
163#10622397C2211yescharacteristic, complemented
164#10622396C2211yescharacteristic, complemented
165#10622396C2211yescharacteristic, complemented
166#10622391C2211yescharacteristic, complemented
167#10622391C2211yescharacteristic, complemented
168#10622390C2211yescharacteristic, complemented
169#10622389C2211yescharacteristic, complemented
170#10622389C2211yescharacteristic, complemented
171#10622385C2211yescharacteristic, complemented
172#10622384C2211yescharacteristic, complemented
173#10622383C2211yescharacteristic, complemented
174D11×#102C2211yescharacteristic, complemented
175#10622381C2211yescharacteristic, complemented
176#10622380C2211yescharacteristic, complemented
177#10622379C2211yescharacteristic, complemented
178#10622379C2211yescharacteristic, complemented
179#10622375C2211yescharacteristic, complemented
180#10622374C2211yescharacteristic, complemented
181#10622374C2211yescharacteristic, complemented
182#10622373C2211yescharacteristic, complemented
183#10622371C2211yescharacteristic, complemented
184#10622371C2211yescharacteristic, complemented
185#10622371C2211yescharacteristic, complemented
186#10622371C2211yescharacteristic, complemented
187#10622352C2211yescharacteristic, complemented
188#10622351C2211yescharacteristic, complemented
189#10622350C2211yescharacteristic, complemented
190#10622346C2211yescharacteristic, complemented
191#10622346C2211yescharacteristic, complemented
192#10622342C2211yescharacteristic, complemented
193#10622342C2211yescharacteristic, complemented
194#10622340C2211yescharacteristic, complemented
195#10622340C2211yescharacteristic, complemented
196(C22⋊D11)⋊C8C2211yescharacteristic, complemented
197(C22⋊D11)⋊C8C2211yescharacteristic, complemented
198#10622336C2211yescharacteristic, complemented
199#10622335C2211yescharacteristic, complemented
200#10622334C2211yescharacteristic, complemented
201#10622331C2211yescharacteristic, complemented
202#10622331C2211yescharacteristic, complemented
203C11×H(5,𝔽2)—42no—
204C11×H(5,𝔽2)—42no—
205C2×C11×#41—21no—
206C2×C11×#41C2311yescharacteristic
207C2×C11×#41C2311yescharacteristic
208C2×C11×#41C2311yescharacteristic
209C2×C11×#41C2311yescharacteristic
210C2×C11×#41C2311yescharacteristic
211C22×D4×C11—21no—
212C22×D4×C11—21no—
213C22×D4×C11—21no—
214C22×D4×C11C2311yescharacteristic
215C22×D4×C11C2311yescharacteristic
216C22×D4×C11C2311yescharacteristic
217C22×C22⋊D11—21no—
218C22×C22⋊D11—21no—
219C22×C22⋊D11—21no—
220C22×C22⋊D11—21no—
221C23×Dic11—21no—
222C2×Q8×D11C2311yescharacteristic
223#67037—42no—
224#67037—42no—
225C2×#4341—21no—
226C2×#4341C2311yescharacteristic
227C2×#4341C2311yescharacteristic
228C2×#4341C2311yescharacteristic
229C2×D4×D11—21no—
230C2×D4×D11C2311yescharacteristic
231C2×D4×D11C2311yescharacteristic
232C2×#4339C2311yescharacteristic
233C2×#4339C2311yescharacteristic
234C22×Dic22C2311yescharacteristic
235C11×AGL(1,ℤ/8)—42no—
236C11×#135—42no—
237C2×C11×Q16C2311yescharacteristic
238C2×C11×SD16C2311yescharacteristic
239C2×C11×SD16C2311yescharacteristic
240C2×C11×SD16C2311yescharacteristic
241C2×C11×SD16C2311yescharacteristic
242C2×C11×D8C2311yescharacteristic
243C2×C11×D8C2311yescharacteristic
244C2×C11×D8C2311yescharacteristic
245C2×C11×M16C2311yescharacteristic
246C22×C8×C11C2311yescharacteristic
247C11×C22⋊Q8—21no—
248C11×C22⋊Q8C2311yescharacteristic
249C11×C22⋊Q8C2311yescharacteristic
250C11×#121—21no—
251C11×#121—21no—
252C11×#121—21no—
253C11×#121C2311yescharacteristic
254C11×#121C2311yescharacteristic
255C2×C11×C4⋊C4C2311yescharacteristic
256#67006—21no—
257#67006—21no—
258#67006—21no—
259#67006—21no—
260C2×C22⋊Dic11—21no—
261C2×C22⋊Dic11—21no—
262C2×C22⋊Dic11—21no—
263#67004—42no—
264#67000D411yescharacteristic
265#67000C2311yescharacteristic
266#66999—21no—
267#66999C2311yescharacteristic
268#66999C2311yescharacteristic
269#66999C2311yescharacteristic
270Q8×Dic11C2311yescharacteristic
271#66997—21no—
272#66997D411yescharacteristic
273#66997C2311yescharacteristic
274#66997C2311yescharacteristic
275C2×#4326C2311yescharacteristic
276C2×#4326C2311yescharacteristic
277C2×#4326C2311yescharacteristic
278C2×#4325C2311yescharacteristic
279#66993D411yescharacteristic
280#66993C2311yescharacteristic
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#66992—21no—
292#66992—21no—
293#66992—21no—
294#66992—21no—
295#66992—21no—
296#66992—21no—
297#66992—21no—
298#66992—21no—
299#66992D411yescharacteristic
300#66992D411yescharacteristic
301#66992D411yescharacteristic
302#66992D411yescharacteristic
303#66991—21no—
304#66991—21no—
305#66991—21no—
306#66991C2311yescharacteristic
307#66991C2311yescharacteristic
308#66991C2311yescharacteristic
309#66990—21no—
310#66990—21no—
311#66990—21no—
312#66990—21no—
313#66989—21no—
314#66989—21no—
315#66989—21no—
316#66989D411yescharacteristic
317#66989C2311yescharacteristic
318#66989C2311yescharacteristic
319#66988—21no—
320#66988—21no—
321#66988—21no—
322#66988—21no—
323#66988—21no—
324#66988—21no—
325#66988—21no—
326#66988—21no—
327D4×Dic11—21no—
328D4×Dic11—21no—
329D4×Dic11—21no—
330D4×Dic11—21no—
331D4×Dic11C2311yescharacteristic
332D4×Dic11C2311yescharacteristic
333D4×Dic11C2311yescharacteristic
334D4×Dic11C2311yescharacteristic
335D4×Dic11C2311yescharacteristic
336C2×#4324—42no—
337C2×#4324C2311yescharacteristic
338C2×#4324C2311yescharacteristic
339C2×#4324C2311yescharacteristic
340C2×#4324C2311yescharacteristic
341C2×#4324C2311yescharacteristic
342C2×#4324C2311yescharacteristic
343C2×#4324C2311yescharacteristic
344C2×#4323C2311yescharacteristic
345#66983—21no—
346#66983C2311yescharacteristic
347#66983C2311yescharacteristic
348#66982—21no—
349#66982—21no—
350#66982—21no—
351#66982—21no—
352#66982—21no—
353#66982—21no—
354C4×C22⋊D11—21no—
355C4×C22⋊D11—21no—
356C4×C22⋊D11—21no—
357C4×C22⋊D11—21no—
358C4×C22⋊D11C2311yescharacteristic
359C4×C22⋊D11C2311yescharacteristic
360C4×C22⋊D11C2311yescharacteristic
361C4×C22⋊D11C2311yescharacteristic
362C2×(C2×D11)⋊C4—21no—
363C2×(C2×D11)⋊C4—21no—
364#66979—21no—
365#66979C2311yescharacteristic
366C2×C4⋊Dic11C2311yescharacteristic
367#66977—21no—
368#66977—21no—
369#66977—21no—
370#66977C2311yescharacteristic
371#66977C2311yescharacteristic
372#66977C2311yescharacteristic
373#66977C2311yescharacteristic
374#66977C2311yescharacteristic
375#66977C2311yescharacteristic
376C2×Dic11⋊C4—21no—
377C2×Dic11⋊C4—21no—
378C2×Dic11⋊C4—21no—
379C2×C4×Dic11C2311yescharacteristic
380C2×#4318C2311yescharacteristic
381C22×C11⋊C8C2311yescharacteristic
382#66968—42no—
383SD16×D11—42no—
384#66965—42no—
385#66964—42no—
386C2×Dic44C2311yescharacteristic
387C2×Dic44C2311yescharacteristic
388C2×#4314C2311yescharacteristic
389C2×#4314C2311yescharacteristic
390C2×#4313C2311yescharacteristic
391C2×#4313C2311yescharacteristic
392C2×C8×D11C2311yescharacteristic
393C2×C8×D11C2311yescharacteristic
394#66951—21no—
395#66950C2311yescharacteristic
396#66950C2311yescharacteristic
397#66949—21no—
398#66949—21no—
399#66947—21no—
400#66945—21no—
401#66945C2311yescharacteristic
402C4⋊C4×D11C2311yescharacteristic
403#66943C2311yescharacteristic
404#66942—21no—
405#66942—21no—
406#66942—21no—
407#66942—21no—
408#66941—21no—
409#66941—21no—
410#66941C2311yescharacteristic
411#66940—21no—
412#66940C2311yescharacteristic
413#66940C2311yescharacteristic
414#66938—21no—
415#66938—21no—
416#66938—21no—
417#66937—21no—
418#66936—21no—
419#66936—21no—
420(C22⋊D11)⋊C4—21no—
421#66932—21no—
422#66932—21no—
423#66931—21no—
424#66931—21no—
425#66931—21no—
426#66931—21no—
427#66930—21no—
428#66930—21no—
429#66930—21no—
430C11×#103C2311yescharacteristic
431C11×#103C2311yescharacteristic
432C11×#102C2311yescharacteristic
433C11×#102C2311yescharacteristic
434C11×#102C2311yescharacteristic
435C11×#102C2311yescharacteristic
436C11×#102C2311yescharacteristic
437C11×#102C2311yescharacteristic
438C11×C22⋊C8C2311yescharacteristic
439C11×C22⋊C8C2311yescharacteristic
440C11×C22⋊C8C2311yescharacteristic
441C11×C22⋊C8C2311yescharacteristic
442#66899C2311yescharacteristic
443#66899C2311yescharacteristic
444#66899C2311yescharacteristic
445#66899C2311yescharacteristic
446#66896C2311yescharacteristic
447#66896C2311yescharacteristic
448#66896C2311yescharacteristic
449#66896C2311yescharacteristic
450#66896C2311yescharacteristic
451#66896C2311yescharacteristic
452#66896C2311yescharacteristic
453#66896C2311yescharacteristic
454C22⋊(C11⋊C8)C2311yescharacteristic
455C22⋊(C11⋊C8)C2311yescharacteristic
456C22⋊(C11⋊C8)C2311yescharacteristic
457C22⋊(C11⋊C8)C2311yescharacteristic
458#66885C2311yescharacteristic
459#66885C2311yescharacteristic
460(C2×D11)⋊C8C2311yescharacteristic
461(C2×D11)⋊C8C2311yescharacteristic
462(C2×D11)⋊C8C2311yescharacteristic
463(C2×D11)⋊C8C2311yescharacteristic
464#66882C2311yescharacteristic
465#66882C2311yescharacteristic
466#66881C2311yescharacteristic
467#66881C2311yescharacteristic
468#66880C2311yescharacteristic
469#66880C2311yescharacteristic
470#66880C2311yescharacteristic
471#66880C2311yescharacteristic
472#66880C2311yescharacteristic
473#66880C2311yescharacteristic
474Dic11⋊C8C2311yescharacteristic
475Dic11⋊C8C2311yescharacteristic
476Dic11⋊C8C2311yescharacteristic
477Dic11⋊C8C2311yescharacteristic
478C8×Dic11C2311yescharacteristic
479C8×Dic11C2311yescharacteristic
480C8×Dic11C2311yescharacteristic
481C8×Dic11C2311yescharacteristic
482#66874C2311yescharacteristic
483#66874C2311yescharacteristic
484#66873C2311yescharacteristic
485#66873C2311yescharacteristic
486#66872C2311yescharacteristic
487#66872C2311yescharacteristic
488#66872C2311yescharacteristic
489#66872C2311yescharacteristic
490#61658—111nomaximal, Sylow
491C24×C11—21no—
492C24×C11—21no—
493C24×C11—21no—
494C23×D11—21no—
495C23×D11—21no—
496C11×#41—22no—
497C11×#41—22no—
498C11×#41—41no—
499C11×#41—41no—
500C11×#41—41no—
501C11×#41—41no—
502C11×#41—41no—
503C11×#41—41no—
504C11×#41—41no—
505C11×#41—41no—
506C11×#41—44no—
507C2×Q8×C11C2×D411yescharacteristic
508C2×Q8×C11C2411yescharacteristic
509C2×Q8×C11C2411yescharacteristic
510C2×D4×C11—22no—
511C2×D4×C11—22no—
512C2×D4×C11—22no—
513C2×D4×C11—22no—
514C2×D4×C11—21no—
515C2×D4×C11—21no—
516C2×D4×C11—21no—
517C2×D4×C11—21no—
518C2×D4×C11—21no—
519C2×D4×C11—21no—
520C2×D4×C11—21no—
521C2×D4×C11—21no—
522C2×D4×C11—21no—
523C2×D4×C11—41no—
524C2×D4×C11—41no—
525C2×D4×C11—44no—
526C2×D4×C11—44no—
527C2×D4×C11—44no—
528C2×D4×C11C2×D411yescharacteristic
529C2×D4×C11C2×D411yescharacteristic
530C2×D4×C11C2×D411yescharacteristic
531C2×D4×C11C2411yescharacteristic
532C2×D4×C11C2411yescharacteristic
533C2×D4×C11C2411yescharacteristic
534C2×D4×C11C2411yescharacteristic
535C22×C4×C11—21no—
536C22×C4×C11—21no—
537C22×C4×C11—21no—
538C22×C4×C11—21no—
539C22×C4×C11—21no—
540C22×C4×C11C2411yescharacteristic
541C22×C4×C11C2411yescharacteristic
542C22×C4×C11C2411yescharacteristic
543C2×C22⋊D11—21no—
544C2×C22⋊D11—21no—
545C2×C22⋊D11—21no—
546C2×C22⋊D11—21no—
547C2×C22⋊D11—21no—
548C2×C22⋊D11—21no—
549C2×C22⋊D11—21no—
550C2×C22⋊D11—21no—
551C2×C22⋊D11—21no—
552C2×C22⋊D11—21no—
553C2×C22⋊D11—21no—
554C2×C22⋊D11—21no—
555C2×C22⋊D11—21no—
556C2×C22⋊D11—44no—
557C2×C22⋊D11—44no—
558C2×C22⋊D11—82no—
559C2×C22⋊D11—82no—
560C2×C22⋊D11C2×D411yescharacteristic
561C2×C22⋊D11C2×D411yescharacteristic
562C2×C22⋊D11C2×D411yescharacteristic
563C2×C22⋊D11C2×D411yescharacteristic
564C2×C22⋊D11C2×D411yescharacteristic
565C2×C22⋊D11C2×D411yescharacteristic
566C22×Dic11—21no—
567C22×Dic11—21no—
568C22×Dic11—21no—
569C22×Dic11—21no—
570C22×Dic11—21no—
571C22×Dic11—21no—
572C22×Dic11—21no—
573C22×Dic11—21no—
574C22×Dic11—21no—
575C22×Dic11—21no—
576C22×Dic11—82no—
577C22×Dic11C2×D411yescharacteristic
578C22×Dic11C2×D411yescharacteristic
579Q8×D11—41no—
580Q8×D11—41no—
581#4341—22no—
582#4341—22no—
583#4341—41no—
584#4341—41no—
585#4341—41no—
586#4341—41no—
587#4341—44no—
588D4×D11—22no—
589D4×D11—22no—
590D4×D11—41no—
591D4×D11—41no—
592D4×D11—44no—
593#4339—41no—
594#4339—41no—
595#4339—41no—
596#4339—41no—
597C2×D44C2×D411yescharacteristic
598C2×D44C2411yescharacteristic
599C2×C4×D11—21no—
600C2×C4×D11—21no—
601C2×C4×D11—21no—
602C2×C4×D11C2411yescharacteristic
603C2×C4×D11C2411yescharacteristic
604C2×Dic22—21no—
605C2×Dic22—21no—
606C2×Dic22—21no—
607C2×Dic22—41no—
608C2×Dic22—41no—
609C2×Dic22C2×D411yescharacteristic
610C2×Dic22C2411yescharacteristic
611C2×Dic22C2411yescharacteristic
612C2×Dic22C2411yescharacteristic
613C11×Q16—41no—
614C11×SD16—22no—
615C11×SD16—22no—
616C11×SD16—41no—
617C11×SD16—41no—
618C11×D8—22no—
619C11×D8—22no—
620C11×D8—41no—
621C11×M16—41no—
622C2×C8×C11—41no—
623C2×C8×C11C2411yescharacteristic
624C2×C8×C11C2411yescharacteristic
625C2×C8×C11C2411yescharacteristic
626C2×C8×C11C2411yescharacteristic
627C11×C4⋊C4—21no—
628C11×C4⋊C4—21no—
629C11×C4⋊C4—21no—
630C11×C4⋊C4C2411yescharacteristic
631C11×C4⋊C4C2411yescharacteristic
632C11×C22⋊C4—21no—
633C11×C22⋊C4—21no—
634C11×C22⋊C4—21no—
635C11×C22⋊C4—21no—
636C22⋊Dic11—21no—
637C22⋊Dic11—21no—
638C22⋊Dic11—21no—
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⋊Dic11—21no—
651C22⋊Dic11—21no—
652C22⋊Dic11—21no—
653C22⋊Dic11—21no—
654C22⋊Dic11—21no—
655C22⋊Dic11C2×D411yescharacteristic
656C22⋊Dic11C2×D411yescharacteristic
657C22⋊Dic11C2×D411yescharacteristic
658C22⋊Dic11C2×D411yescharacteristic
659#4326—41no—
660#4326—41no—
661#4326—41no—
662#4325—41no—
663#4324—22no—
664#4324—22no—
665#4324—22no—
666#4324—22no—
667#4324—41no—
668#4324—41no—
669#4324—41no—
670#4323—41no—
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)⋊C4—21no—
679(C2×D11)⋊C4—21no—
680(C2×D11)⋊C4—21no—
681(C2×D11)⋊C4C2×D411yescharacteristic
682(C2×D11)⋊C4C2×D411yescharacteristic
683(C2×D11)⋊C4C2×D411yescharacteristic
684(C2×D11)⋊C4C2×D411yescharacteristic
685C4⋊Dic11—21no—
686C4⋊Dic11—21no—
687C4⋊Dic11—21no—
688C4⋊Dic11—21no—
689C4⋊Dic11—21no—
690C4⋊Dic11C2411yescharacteristic
691C4⋊Dic11C2411yescharacteristic
692C4⋊Dic11C2411yescharacteristic
693C4⋊Dic11C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
713Dic11⋊C4C2×D411yescharacteristic
714Dic11⋊C4C2×D411yescharacteristic
715Dic11⋊C4C2×D411yescharacteristic
716C4×Dic11—21no—
717C4×Dic11—21no—
718C4×Dic11—21no—
719C4×Dic11—21no—
720C4×Dic11—21no—
721C4×Dic11C2×D411yescharacteristic
722C4×Dic11C2×D411yescharacteristic
723C4×Dic11C2411yescharacteristic
724C4×Dic11C2411yescharacteristic
725#4318—41no—
726C2×C11⋊C8—41no—
727C2×C11⋊C8C2411yescharacteristic
728C2×C11⋊C8C2411yescharacteristic
729C2×C11⋊C8C2411yescharacteristic
730C2×C11⋊C8C2411yescharacteristic
731Dic44—41no—
732Dic44—41no—
733#4314—41no—
734#4314—41no—
735#4313—41no—
736#4313—41no—
737C8×D11—41no—
738C8×D11—41no—
739#3547—111no—
740#3496—111no—
741#3331—111no—
742#3325—111no—
743#3323—111no—
744#3323—111no—
745#3303—111no—
746#3296—111no—
747#3296—111no—
748#3295—111no—
749#3283—111no—
750#3282—111no—
751#3282—111no—
752D4×SD16—111no—
753#3276—111no—
754#3275—111no—
755#3275—111no—
756#3272—111no—
757#3212—111no—
758#3210—111no—
759#3204—111no—
760#3204—111no—
761#3201—111no—
762#3201—111no—
763#3105—111no—
764#3101—111no—
765#3012—111no—
766#3012D1111yescharacteristic, complemented
767#3009—111no—
768#3009—111no—
769#2979—111no—
770C23×C11—24no—
771C23×C11—21no—
772C23×C11—21no—
773C23×C11—21no—
774C23×C11—21no—
775C23×C11—42no—
776C23×C11—42no—
777C23×C11—81no—
778C23×C11—81no—
779C23×C11—81no—
780C23×C11—81no—
781C23×C11—81no—
782C23×C11—81no—
783C23×C11C22×D411yescharacteristic
784C23×C11C22×D411yescharacteristic
785C23×C11C22×D411yescharacteristic
786C22×D11—21no—
787C22×D11—42no—
788C22×D11—42no—
789C22×D11—81no—
790C22×D11—81no—
791C22×D11—81no—
792C22×D11—81no—
793C22×D11C22×D411yescharacteristic
794C22×D11C22×D411yescharacteristic
795Q8×C11—21no—
796Q8×C11—21no—
797Q8×C11—21no—
798Q8×C11—21no—
799Q8×C11—41no—
800D4×C11—24no—
801D4×C11—21no—
802D4×C11—21no—
803D4×C11—21no—
804D4×C11—21no—
805D4×C11—21no—
806D4×C11—21no—
807D4×C11—41no—
808D4×C11—41no—
809D4×C11—41no—
810D4×C11—42no—
811D4×C11—42no—
812D4×C11—42no—
813D4×C11—42no—
814D4×C11—42no—
815D4×C11—81no—
816D4×C11—81no—
817D4×C11—81no—
818D4×C11H(5,𝔽2)12yes—
819D4×C11H(5,𝔽2)12yes—
820C2×C4×C11—21no—
821C2×C4×C11—21no—
822C2×C4×C11—21no—
823C2×C4×C11—21no—
824C2×C4×C11—21no—
825C2×C4×C11—21no—
826C2×C4×C11—21no—
827C2×C4×C11—21no—
828C2×C4×C11—21no—
829C2×C4×C11—21no—
830C2×C4×C11—42no—
831C2×C4×C11—42no—
832C2×C4×C11—42no—
833C2×C4×C11—81no—
834C2×C4×C11—81no—
835C2×C4×C11C22×D411yescharacteristic
836C2×C4×C11C22×D411yescharacteristic
837C2×C4×C11C22×D411yescharacteristic
838C2×C4×C11C2511yescharacteristic
839C22⋊D11—22no—
840C22⋊D11—22no—
841C22⋊D11—41no—
842C22⋊D11—41no—
843C22⋊D11—41no—
844C22⋊D11—41no—
845C22⋊D11—42no—
846C22⋊D11—42no—
847C22⋊D11—42no—
848C22⋊D11—42no—
849C22⋊D11—42no—
850C22⋊D11—42no—
851C22⋊D11—81no—
852C22⋊D11—81no—
853C22⋊D11—81no—
854C22⋊D11—81no—
855C22⋊D11—81no—
856C22⋊D11—81no—
857C22⋊D11—81no—
858C2×Dic11—22no—
859C2×Dic11—21no—
860C2×Dic11—21no—
861C2×Dic11—21no—
862C2×Dic11—21no—
863C2×Dic11—21no—
864C2×Dic11—21no—
865C2×Dic11—21no—
866C2×Dic11—41no—
867C2×Dic11—42no—
868C2×Dic11—42no—
869C2×Dic11—42no—
870C2×Dic11—42no—
871C2×Dic11—42no—
872C2×Dic11—81no—
873C2×Dic11—81no—
874C2×Dic11—81no—
875C2×Dic11—81no—
876C2×Dic11—81no—
877C2×Dic11C22×D411yescharacteristic
878C2×Dic11C22×D411yescharacteristic
879C2×Dic11C22×D411yescharacteristic
880C2×Dic11C22×D411yescharacteristic
881C2×Dic11C22×D411yescharacteristic
882C2×Dic11C22×D411yescharacteristic
883D44—21no—
884D44—21no—
885D44—41no—
886C4×D11—21no—
887C4×D11—21no—
888C4×D11—21no—
889C4×D11—21no—
890C4×D11—42no—
891C4×D11—81no—
892C4×D11—81no—
893Dic22—21no—
894Dic22—21no—
895Dic22—21no—
896Dic22—21no—
897Dic22—21no—
898Dic22—21no—
899Dic22—41no—
900Dic22—81no—
901Dic22—81no—
902Dic22—81no—
903C8×C11—21no—
904C8×C11—21no—
905C8×C11—21no—
906C8×C11—21no—
907C11⋊C8—21no—
908C11⋊C8—21no—
909C11⋊C8—21no—
910C11⋊C8—21no—
911C2×H(5,𝔽2)—111no—
912C2×H(5,𝔽2)C2×D1111yescharacteristic
913C2×#137—111no—
914C2×#137—111no—
915C2×AGL(1,ℤ/8)—111no—
916C2×AGL(1,ℤ/8)C2×D1111yescharacteristic, complemented
917C2×#135—111no—
918C2×#135C2×D1111yescharacteristic, complemented
919C22×SD16—111no—
920C22×SD16—111no—
921#562—221no—
922#562—221no—
923#555—111no—
924#555—221no—
925#554—111no—
926#553—221no—
927#552—111no—
928#552—111no—
929D4×Q8—111no—
930#548—111no—
931#548—111no—
932#547—111no—
933#547—111no—
934#547—111no—
935#547—221no—
936#546—111no—
937#546—111no—
938#546—111no—
939#546—111no—
940#546—221no—
941#546—221no—
942D42—111no—
943D42—111no—
944D42—221no—
945#544—221no—
946#542—221no—
947#542—221no—
948#540—221no—
949#537—111no—
950#537—111no—
951#537—111no—
952#537C2×D1111yescharacteristic, complemented
953#536—111no—
954#536—111no—
955#534—221no—
956#534—221no—
957#533—111no—
958#532—111no—
959#532—111no—
960#529—111no—
961C2×#121—221no—
962C2×#121—221no—
963C2×C4×D4—111no—
964#495—111no—
965#495—111no—
966#494—111no—
967#492—111no—
968#488—111no—
969#488—111no—
970#487—111no—
971#486—111no—
972#485—111no—
973#485—111no—
974#484—111no—
975#483—111no—
976#483—111no—
977#483—111no—
978#483—111no—
979#482—111no—
980#482—111no—
981#481—111no—
982#481—111no—
983#481—111no—
984#478—111no—
985#478—111no—
986#476—111no—
987#476—111no—
988#470—111no—
989#470—111no—
990#470—111no—
991#470—111no—
992#469—111no—
993#469—111no—
994#468—111no—
995#468—111no—
996#467—111no—
997#467—111no—
998#465—111no—
999#465—111no—
1000#465—111no—
1001#465—111no—
1002#465—111no—
1003#465—111no—
1004#464—111no—
1005#464—111no—
1006#464—111no—
1007#464—111no—
1008#463—111no—
1009#463—111no—
1010#462—111no—
1011#461—111no—
1012#461—111no—
1013#461—111no—
1014#460—111no—
1015#459—111no—
1016#452—111no—
1017#452—111no—
1018#452—111no—
1019#452—111no—
1020#452—111no—
1021#452—111no—
1022#452—111no—
1023#452—111no—
1024#452—111no—
1025#452—111no—
1026#452—111no—
1027#452—111no—
1028#452C2×D1111yescharacteristic, complemented
1029#452C2×D1111yescharacteristic, complemented
1030#451—111no—
1031#451—111no—
1032#450—111no—
1033#450—111no—
1034#450—111no—
1035#450—111no—
1036#450—111no—
1037#450—111no—
1038#450—111no—
1039#450C2×D1111yescharacteristic
1040#450C2×D1111yescharacteristic, complemented
1041#449—111no—
1042#449—111no—
1043#449—111no—
1044#449—111no—
1045#449C2×D1111yescharacteristic, complemented
1046#449C2×D1111yescharacteristic, complemented
1047#448—111no—
1048#448—111no—
1049#447—111no—
1050#447C2×D1111yescharacteristic
1051#447C2×D1111yescharacteristic, complemented
1052C4×SD16—111no—
1053C4×SD16—111no—
1054C4×SD16—111no—
1055C4×SD16—111no—
1056C4×SD16—111no—
1057C4×SD16—111no—
1058C4×D8—111no—
1059C4×D8—111no—
1060#436—111no—
1061#436—111no—
1062#436—111no—
1063#436—111no—
1064C8×D4—111no—
1065C8×D4—111no—
1066C8×D4—111no—
1067C8×D4—111no—
1068#431—111no—
1069#431—111no—
1070#418—111no—
1071#418—111no—
1072#417—111no—
1073#417C2×D1111yescharacteristic, complemented
1074#416—111no—
1075#416—111no—
1076C2×#102—111no—
1077C2×#102C2×D1111yescharacteristic, complemented
1078#408—111no—
1079#408—111no—
1080#408—111no—
1081#408C2×D1111yescharacteristic, complemented
1082C22×C11—21no—
1083C22×C11—21no—
1084C22×C11—21no—
1085C22×C11—21no—
1086C22×C11—21no—
1087C22×C11—21no—
1088C22×C11—22no—
1089C22×C11—22no—
1090C22×C11—21no—
1091C22×C11—21no—
1092C22×C11—21no—
1093C22×C11—41no—
1094C22×C11—41no—
1095C22×C11—41no—
1096C22×C11—41no—
1097C22×C11—41no—
1098C22×C11—41no—
1099C22×C11—41no—
1100C22×C11—41no—
1101C22×C11—41no—
1102C22×C11—41no—
1103C22×C11—84no—
1104C22×C11—162no—
1105C22×C11—162no—
1106C22×C11C23×D411yescharacteristic
1107C2×D11—21no—
1108C2×D11—21no—
1109C2×D11—21no—
1110C2×D11—21no—
1111C2×D11—21no—
1112C2×D11—21no—
1113C2×D11—41no—
1114C2×D11—41no—
1115C2×D11—41no—
1116C2×D11—162no—
1117C2×D11—162no—
1118C4×C11—21no—
1119C4×C11—21no—
1120C4×C11—21no—
1121C4×C11—41no—
1122C4×C11—41no—
1123C4×C11—41no—
1124C4×C11—41no—
1125C4×C11C2×H(5,𝔽2)11yescharacteristic
1126C4×C11C2×H(5,𝔽2)11yescharacteristic
1127Dic11—21no—
1128Dic11—21no—
1129Dic11—21no—
1130Dic11—21no—
1131Dic11—21no—
1132Dic11—41no—
1133Dic11—41no—
1134Dic11—41no—
1135Dic11—41no—
1136Dic11—41no—
1137Dic11—41no—
1138Dic11—41no—
1139Dic11#57712yes—
1140H(5,𝔽2)—42no—
1141H(5,𝔽2)—42no—
1142H(5,𝔽2)—442no—
1143H(5,𝔽2)—442no—
1144C2×#41—21no—
1145C2×#41—111no—
1146C2×#41—111no—
1147C2×#41—111no—
1148C2×#41—111no—
1149C2×#41—111no—
1150C2×#41—221no—
1151C2×#41C22×D1111yescharacteristic
1152C2×#41C22×D1111yescharacteristic
1153C2×#41C22×D1111yescharacteristic
1154C2×#41C22×D1111yescharacteristic
1155C2×#41C22×D1111yescharacteristic
1156C22×Q8—111no—
1157C22×Q8—111no—
1158C22×D4—21no—
1159C22×D4—21no—
1160C22×D4—21no—
1161C22×D4—111no—
1162C22×D4—111no—
1163C22×D4—221no—
1164C22×D4—221no—
1165C22×D4—221no—
1166C22×D4—221no—
1167C22×D4—221no—
1168C22×D4C22×D1111yescharacteristic
1169C22×D4C22×D1111yescharacteristic
1170C22×D4C22×D1111yescharacteristic
1171C23×C4—221no—
1172#137—442no—
1173#137—442no—
1174AGL(1,ℤ/8)—42no—
1175AGL(1,ℤ/8)—442no—
1176#135—42no—
1177#135—442no—
1178C2×Q16—111no—
1179C2×Q16—111no—
1180C2×Q16—111no—
1181C2×Q16—111no—
1182C2×Q16—111no—
1183C2×Q16C22×D1111yescharacteristic
1184C2×SD16—111no—
1185C2×SD16—111no—
1186C2×SD16—111no—
1187C2×SD16—111no—
1188C2×SD16—111no—
1189C2×SD16—111no—
1190C2×SD16—111no—
1191C2×SD16—111no—
1192C2×SD16—111no—
1193C2×SD16—111no—
1194C2×SD16—442no—
1195C2×SD16—442no—
1196C2×SD16C22×D1111yescharacteristic
1197C2×SD16C22×D1111yescharacteristic
1198C2×SD16C22×D1111yescharacteristic
1199C2×SD16C22×D1111yescharacteristic
1200C2×D8—111no—
1201C2×D8C22×D1111yescharacteristic
1202C2×D8C22×D1111yescharacteristic
1203C2×D8C22×D1111yescharacteristic
1204C2×M16—111no—
1205C2×M16—111no—
1206C2×M16—111no—
1207C2×M16C22×D1111yescharacteristic
1208C22×C8—111no—
1209C22×C8—111no—
1210C22×C8—111no—
1211C22×C8C22×D1111yescharacteristic
1212C4⋊Q8—111no—
1213C4⋊Q8—111no—
1214C4⋊Q8—111no—
1215C4⋊Q8—111no—
1216C4⋊Q8—221no—
1217C4⋊Q8—221no—
1218C4⋊Q8—221no—
1219#127—111no—
1220#127—111no—
1221#126—221no—
1222#126—221no—
1223#126—221no—
1224#125—111no—
1225#125—221no—
1226#125—221no—
1227#125—221no—
1228#125—221no—
1229#124—111no—
1230#124—111no—
1231#124—111no—
1232#124—111no—
1233#124—111no—
1234#124—221no—
1235#124—221no—
1236#124—221no—
1237#124—221no—
1238#124—221no—
1239#124—221no—
1240#123—221no—
1241#123—221no—
1242#123—221no—
1243#123—221no—
1244#123—221no—
1245#123—221no—
1246#123—221no—
1247#123—221no—
1248#123—221no—
1249#123—221no—
1250#123—221no—
1251#123—221no—
1252#123—221no—
1253#123—221no—
1254#123—221no—
1255#123—221no—
1256#123—221no—
1257C22⋊Q8—21no—
1258C22⋊Q8—111no—
1259C22⋊Q8—111no—
1260C22⋊Q8—111no—
1261C22⋊Q8—111no—
1262C22⋊Q8—111no—
1263C22⋊Q8—111no—
1264C22⋊Q8—111no—
1265C22⋊Q8—111no—
1266C22⋊Q8—111no—
1267C22⋊Q8—111no—
1268C22⋊Q8—111no—
1269C22⋊Q8—221no—
1270C22⋊Q8—221no—
1271C22⋊Q8—221no—
1272C22⋊Q8—221no—
1273C22⋊Q8—221no—
1274C22⋊Q8—221no—
1275C22⋊Q8—221no—
1276C22⋊Q8—221no—
1277C22⋊Q8—221no—
1278C22⋊Q8—221no—
1279C22⋊Q8C22×D1111yescharacteristic
1280C22⋊Q8C22×D1111yescharacteristic
1281#121—21no—
1282#121—21no—
1283#121—21no—
1284#121—111no—
1285#121—111no—
1286#121—111no—
1287#121—111no—
1288#121—111no—
1289#121—111no—
1290#121—111no—
1291#121—111no—
1292#121—111no—
1293#121—221no—
1294#121—221no—
1295#121—221no—
1296#121—221no—
1297#121—221no—
1298#121—221no—
1299#121—221no—
1300#121—221no—
1301#121—221no—
1302#121—221no—
1303#121—221no—
1304#121—221no—
1305#121—221no—
1306#121—221no—
1307#121—221no—
1308#121—221no—
1309#121—221no—
1310#121—221no—
1311#121—221no—
1312#121—221no—
1313#121—221no—
1314#121—221no—
1315#121—221no—
1316#121C22×D1111yescharacteristic
1317#121C22×D1111yescharacteristic
1318#120—221no—
1319#120—221no—
1320#120—221no—
1321#120—221no—
1322#120—221no—
1323#120—221no—
1324#120—221no—
1325#120—221no—
1326C4×Q8—111no—
1327C4×Q8—111no—
1328C4×Q8—111no—
1329C4×Q8—221no—
1330C4×D4—111no—
1331C4×D4—111no—
1332C4×D4—111no—
1333C4×D4—111no—
1334C4×D4—111no—
1335C4×D4—111no—
1336C4×D4—111no—
1337C4×D4—111no—
1338C4×D4—111no—
1339C4×D4—221no—
1340C4×D4—221no—
1341C4×D4—221no—
1342C4×D4—221no—
1343C4×D4—221no—
1344C4×D4—221no—
1345C4×D4—221no—
1346C4×D4—221no—
1347C4×D4—221no—
1348#117—111no—
1349#117—111no—
1350#117—221no—
1351#117—221no—
1352#117—221no—
1353#117—221no—
1354#117—221no—
1355C2×C4⋊C4—111no—
1356C2×C4⋊C4—111no—
1357C2×C4⋊C4—221no—
1358C2×C4⋊C4—221no—
1359C2×C4⋊C4—221no—
1360C2×C4⋊C4C22×D1111yescharacteristic
1361C2×C22⋊C4—221no—
1362C2×C22⋊C4—221no—
1363C2×C22⋊C4—221no—
1364C2×C22⋊C4—221no—
1365C2×C22⋊C4—221no—
1366C2×C42—111no—
1367#107—111no—
1368#107—111no—
1369#106—111no—
1370#106—111no—
1371#106—111no—
1372#106—111no—
1373#106—111no—
1374#106—111no—
1375C4⋊C8—111no—
1376C4⋊C8—111no—
1377C4⋊C8—111no—
1378C4⋊C8—111no—
1379#103—111no—
1380#103—111no—
1381#103—111no—
1382#103—111no—
1383#103—111no—
1384#103—111no—
1385#103—111no—
1386#103—111no—
1387#103—111no—
1388#103—111no—
1389#103—111no—
1390#103—111no—
1391#103C22×D1111yescharacteristic
1392#103C22×D1111yescharacteristic
1393#102—111no—
1394#102—111no—
1395#102—111no—
1396#102—111no—
1397#102—111no—
1398#102—111no—
1399#102—111no—
1400#102—111no—
1401#102—111no—
1402#102—111no—
1403#102—111no—
1404#102—111no—
1405#102C22×D1111yescharacteristic
1406#102C22×D1111yescharacteristic
1407#102C22×D1111yescharacteristic
1408#102C22×D1111yescharacteristic
1409#102C22×D1111yescharacteristic
1410#102C22×D1111yescharacteristic
1411C22⋊C8—111no—
1412C22⋊C8—111no—
1413C22⋊C8—111no—
1414C22⋊C8—111no—
1415C22⋊C8—111no—
1416C22⋊C8—111no—
1417C22⋊C8—111no—
1418C22⋊C8—111no—
1419C22⋊C8C22×D1111yescharacteristic
1420C22⋊C8C22×D1111yescharacteristic
1421C22⋊C8C22×D1111yescharacteristic
1422C22⋊C8C22×D1111yescharacteristic
1423C4×C8—111no—
1424C4×C8—111no—
1425C4×C8—111no—
1426C4×C8—111no—
1427C2×C11—42no—
1428C2×C11—42no—
1429C2×C11—41no—
1430C2×C11—41no—
1431C2×C11—41no—
1432C2×C11—81no—
1433C2×C11—81no—
1434C2×C11#348411yescharacteristic
1435C2×C11C2×#57711yescharacteristic
1436C2×C11#358411yescharacteristic
1437D11—41no—
1438D11—41no—
1439D11—81no—
1440C24—21no—
1441C24—21no—
1442C24—21no—
1443C24—221no—
1444C24—221no—
1445#41—22no—
1446#41—22no—
1447#41—41no—
1448#41—41no—
1449#41—41no—
1450#41—41no—
1451#41—41no—
1452#41—41no—
1453#41—41no—
1454#41—41no—
1455#41—44no—
1456#41—222no—
1457#41—222no—
1458#41—441no—
1459#41—441no—
1460#41—441no—
1461#41—441no—
1462#41—441no—
1463#41—441no—
1464#41—441no—
1465#41—441no—
1466#41—444no—
1467C2×Q8—111no—
1468C2×Q8—111no—
1469C2×Q8—111no—
1470C2×Q8—111no—
1471C2×Q8—221no—
1472C2×Q8—221no—
1473C2×Q8—221no—
1474C2×Q8—441no—
1475C2×Q8—441no—
1476C2×Q8—441no—
1477C2×Q8—441no—
1478C2×Q8D4×D1111yescharacteristic
1479C2×Q8C23×D1111yescharacteristic
1480C2×Q8C23×D1111yescharacteristic
1481C2×D4—22no—
1482C2×D4—22no—
1483C2×D4—22no—
1484C2×D4—22no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—21no—
1492C2×D4—21no—
1493C2×D4—21no—
1494C2×D4—41no—
1495C2×D4—41no—
1496C2×D4—44no—
1497C2×D4—44no—
1498C2×D4—44no—
1499C2×D4—111no—
1500C2×D4—111no—
1501C2×D4—111no—
1502C2×D4—111no—
1503C2×D4—111no—
1504C2×D4—111no—
1505C2×D4—111no—
1506C2×D4—111no—
1507C2×D4—221no—
1508C2×D4—221no—
1509C2×D4—221no—
1510C2×D4—221no—
1511C2×D4—222no—
1512C2×D4—222no—
1513C2×D4—221no—
1514C2×D4—221no—
1515C2×D4—221no—
1516C2×D4—221no—
1517C2×D4—221no—
1518C2×D4—221no—
1519C2×D4—221no—
1520C2×D4—221no—
1521C2×D4—221no—
1522C2×D4—441no—
1523C2×D4—441no—
1524C2×D4—444no—
1525C2×D4—444no—
1526C2×D4—444no—
1527C2×D4—882no—
1528C2×D4—882no—
1529C2×D4D4×D1111yescharacteristic
1530C2×D4D4×D1111yescharacteristic
1531C2×D4D4×D1111yescharacteristic
1532C2×D4C23×D1111yescharacteristic
1533C2×D4C23×D1111yescharacteristic
1534C2×D4C23×D1111yescharacteristic
1535C2×D4C23×D1111yescharacteristic
1536C22×C4—21no—
1537C22×C4—21no—
1538C22×C4—21no—
1539C22×C4—21no—
1540C22×C4—21no—
1541C22×C4—111no—
1542C22×C4—111no—
1543C22×C4—111no—
1544C22×C4—111no—
1545C22×C4—221no—
1546C22×C4—221no—
1547C22×C4—221no—
1548C22×C4—221no—
1549C22×C4—221no—
1550C22×C4—221no—
1551C22×C4—221no—
1552C22×C4—221no—
1553C22×C4—221no—
1554C22×C4—221no—
1555C22×C4—221no—
1556C22×C4—221no—
1557C22×C4—221no—
1558C22×C4—882no—
1559C22×C4C23×D1111yescharacteristic
1560C22×C4C23×D1111yescharacteristic
1561C22×C4C23×D1111yescharacteristic
1562Q16—41no—
1563Q16—441no—
1564Q16—441no—
1565Q16—441no—
1566Q16—441no—
1567Q16—441no—
1568SD16—22no—
1569SD16—22no—
1570SD16—41no—
1571SD16—41no—
1572SD16—222no—
1573SD16—222no—
1574SD16—222no—
1575SD16—222no—
1576SD16—441no—
1577SD16—441no—
1578SD16—441no—
1579SD16—441no—
1580SD16—441no—
1581SD16—441no—
1582D8—22no—
1583D8—22no—
1584D8—41no—
1585D8—441no—
1586M16—41no—
1587M16—441no—
1588M16—441no—
1589M16—441no—
1590C2×C8—41no—
1591C2×C8—111no—
1592C2×C8—111no—
1593C2×C8—111no—
1594C2×C8—111no—
1595C2×C8—441no—
1596C2×C8—441no—
1597C2×C8—441no—
1598C2×C8C23×D1111yescharacteristic
1599C2×C8C23×D1111yescharacteristic
1600C2×C8C23×D1111yescharacteristic
1601C2×C8C23×D1111yescharacteristic
1602C4⋊C4—21no—
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—111no—
1606C4⋊C4—111no—
1607C4⋊C4—111no—
1608C4⋊C4—111no—
1609C4⋊C4—111no—
1610C4⋊C4—111no—
1611C4⋊C4—111no—
1612C4⋊C4—111no—
1613C4⋊C4—221no—
1614C4⋊C4—221no—
1615C4⋊C4—221no—
1616C4⋊C4—221no—
1617C4⋊C4—221no—
1618C4⋊C4—221no—
1619C4⋊C4—221no—
1620C4⋊C4—221no—
1621C4⋊C4—221no—
1622C4⋊C4—221no—
1623C4⋊C4—221no—
1624C4⋊C4—221no—
1625C4⋊C4—221no—
1626C4⋊C4—221no—
1627C4⋊C4—221no—
1628C4⋊C4—221no—
1629C4⋊C4—221no—
1630C4⋊C4—221no—
1631C4⋊C4—221no—
1632C4⋊C4—221no—
1633C4⋊C4—221no—
1634C4⋊C4—221no—
1635C4⋊C4—221no—
1636C4⋊C4C23×D1111yescharacteristic
1637C4⋊C4C23×D1111yescharacteristic
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—111no—
1643C22⋊C4—111no—
1644C22⋊C4—111no—
1645C22⋊C4—111no—
1646C22⋊C4—111no—
1647C22⋊C4—111no—
1648C22⋊C4—111no—
1649C22⋊C4—111no—
1650C22⋊C4—221no—
1651C22⋊C4—221no—
1652C22⋊C4—221no—
1653C22⋊C4—221no—
1654C22⋊C4—221no—
1655C22⋊C4—221no—
1656C22⋊C4—221no—
1657C22⋊C4—221no—
1658C22⋊C4—221no—
1659C22⋊C4—221no—
1660C22⋊C4—221no—
1661C22⋊C4—221no—
1662C22⋊C4—221no—
1663C22⋊C4—221no—
1664C22⋊C4—221no—
1665C22⋊C4—221no—
1666C22⋊C4—221no—
1667C22⋊C4—221no—
1668C22⋊C4—221no—
1669C22⋊C4—221no—
1670C22⋊C4—221no—
1671C22⋊C4—221no—
1672C22⋊C4—221no—
1673C22⋊C4—221no—
1674C22⋊C4—221no—
1675C22⋊C4—221no—
1676C22⋊C4—221no—
1677C22⋊C4—221no—
1678C22⋊C4—221no—
1679C42—111no—
1680C42—111no—
1681C42—111no—
1682C42—111no—
1683C42—221no—
1684C42—221no—
1685C42—221no—
1686C42—221no—
1687C42—221no—
1688C11#6165811yescharacteristic, complemented, Sylow
1689C23—24no—
1690C23—21no—
1691C23—21no—
1692C23—21no—
1693C23—21no—
1694C23—42no—
1695C23—42no—
1696C23—81no—
1697C23—81no—
1698C23—81no—
1699C23—81no—
1700C23—81no—
1701C23—81no—
1702C23—111no—
1703C23—111no—
1704C23—221no—
1705C23—442no—
1706C23—442no—
1707C23—881no—
1708C23—881no—
1709C23—881no—
1710C23—881no—
1711C23C2×D4×D1111yescharacteristic
1712C23C2×D4×D1111yescharacteristic
1713C23C2×D4×D1111yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—21no—
1718Q8—41no—
1719Q8—221no—
1720Q8—221no—
1721Q8—221no—
1722Q8—221no—
1723Q8—221no—
1724Q8—221no—
1725Q8—441no—
1726Q8—881no—
1727Q8—881no—
1728Q8—881no—
1729D4—24no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—21no—
1734D4—21no—
1735D4—21no—
1736D4—41no—
1737D4—41no—
1738D4—41no—
1739D4—42no—
1740D4—42no—
1741D4—42no—
1742D4—42no—
1743D4—42no—
1744D4—81no—
1745D4—81no—
1746D4—81no—
1747D4—222no—
1748D4—222no—
1749D4—221no—
1750D4—221no—
1751D4—441no—
1752D4—442no—
1753D4—441no—
1754D4—441no—
1755D4—441no—
1756D4—441no—
1757D4—442no—
1758D4—442no—
1759D4—442no—
1760D4—442no—
1761D4—442no—
1762D4—881no—
1763D4—881no—
1764D4—881no—
1765D4—881no—
1766D4—881no—
1767D4—881no—
1768D4—881no—
1769D4#6703712yes—
1770D4#6703712yes—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—42no—
1782C2×C4—42no—
1783C2×C4—42no—
1784C2×C4—81no—
1785C2×C4—81no—
1786C2×C4—111no—
1787C2×C4—111no—
1788C2×C4—111no—
1789C2×C4—111no—
1790C2×C4—111no—
1791C2×C4—111no—
1792C2×C4—222no—
1793C2×C4—221no—
1794C2×C4—221no—
1795C2×C4—221no—
1796C2×C4—221no—
1797C2×C4—221no—
1798C2×C4—221no—
1799C2×C4—221no—
1800C2×C4—221no—
1801C2×C4—221no—
1802C2×C4—221no—
1803C2×C4—221no—
1804C2×C4—442no—
1805C2×C4—442no—
1806C2×C4—442no—
1807C2×C4—442no—
1808C2×C4—441no—
1809C2×C4—442no—
1810C2×C4—442no—
1811C2×C4—881no—
1812C2×C4—881no—
1813C2×C4—881no—
1814C2×C4—881no—
1815C2×C4—881no—
1816C2×C4—881no—
1817C2×C4—881no—
1818C2×C4C2×D4×D1111yescharacteristic
1819C2×C4C2×D4×D1111yescharacteristic
1820C2×C4C2×D4×D1111yescharacteristic
1821C2×C4C24×D1111yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—221no—
1827C8—221no—
1828C8—221no—
1829C8—221no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—22no—
1834C22—22no—
1835C22—21no—
1836C22—21no—
1837C22—21no—
1838C22—21no—
1839C22—21no—
1840C22—21no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—41no—
1846C22—41no—
1847C22—41no—
1848C22—41no—
1849C22—41no—
1850C22—41no—
1851C22—84no—
1852C22—162no—
1853C22—162no—
1854C22—221no—
1855C22—221no—
1856C22—221no—
1857C22—221no—
1858C22—221no—
1859C22—221no—
1860C22—441no—
1861C22—441no—
1862C22—441no—
1863C22—1762no—
1864C22—1762no—
1865C22C22×D4×D1111yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—21no—
1869C4—41no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—112no—
1874C4—221no—
1875C4—221no—
1876C4—221no—
1877C4—221no—
1878C4—221no—
1879C4—441no—
1880C4—441no—
1881C4—441no—
1882C4—441no—
1883C4—441no—
1884C4—441no—
1885C4—441no—
1886C4C2×#6703711yescharacteristic
1887C4C2×#6703711yescharacteristic
1888C2—41no—
1889C2—41no—
1890C2—41no—
1891C2—42no—
1892C2—42no—
1893C2—81no—
1894C2—81no—
1895C2—441no—
1896C2—441no—
1897C2—881no—
1898C2#1308224511yescharacteristic
1899C2D11×#57711yescharacteristic
1900C2#1308338411yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3012C2
socleC22×C11C23×D4
hypercenter#3012D11
hypocenterC11#61658
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3012

Complements

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

NH ≅ G/Ntype
1. #13082995C2semidirect
2. #13082375C2semidirect
3. #13080928C2semidirect
4. #13080851C2semidirect
5. #13080836C2semidirect
6. #13080833C2semidirect
7. #13080537C2semidirect
8. #13080447C2semidirect
9. #13080444C2semidirect
10. #13080436C2semidirect
11. #13080332C2semidirect
12. #13080327C2semidirect
13. #13080317C2semidirect
14. #13080310C2semidirect
15. #13080260C2semidirect
16. #13080247C2semidirect
17. #13080245C2semidirect
18. #13080210C2semidirect
19. #13079589C2semidirect
20. #13079570C2semidirect
21. #13079525C2semidirect
22. #13079522C2semidirect
23. #13079500C2semidirect
24. #13079497C2semidirect
25. #13078658C2semidirect
26. #13078619C2semidirect
27. #13077915C2semidirect
28. #13077893C2semidirect
29. #13077888C2semidirect
30. #13077680C2semidirect
31. C11×#3012C2semidirect
34. C2×C11×AGL(1,ℤ/8)C22semidirect
35. C2×C11×#135C22semidirect
36. C11×#537C22semidirect
41. #10623362C22semidirect
45. #10623356C22semidirect
49. #10623355C22semidirect
50. C2×#67004C22semidirect
62. C22×#4324C22semidirect
63. C2×#66968C22semidirect
64. C2×SD16×D11C22semidirect
65. C2×#66965C22semidirect
66. C2×#66964C22semidirect
68. #10623170C22semidirect
69. #10623163C22semidirect
70. #10623159C22semidirect
72. #10623153C22semidirect
76. #10623147C22semidirect
78. #10623139C22semidirect
81. #10623131C22semidirect
82. #10623129C22semidirect
83. #10623044C22semidirect
84. #10623042C22semidirect
85. C11×#452C22semidirect
86. C11×#452C22semidirect
88. C11×#450C22semidirect
89. C11×#449C22semidirect
90. C11×#449C22semidirect
92. C11×#447C22semidirect
93. C11×#417C22semidirect
94. C2×C11×#102C22semidirect
95. C11×#408C22semidirect
96. #10622852C22semidirect
97. #10622852C22semidirect
98. #10622852C22semidirect
99. #10622852C22semidirect
100. #10622852C22semidirect
101. #10622851C22semidirect
102. #10622847C22semidirect
103. #10622846C22semidirect
106. #10622831C22semidirect
107. #10622831C22semidirect
108. #10622828C22semidirect
109. #10622801C22semidirect
110. #10622799C22semidirect
111. #10622798C22semidirect
112. #10622794C22semidirect
113. #10622788C22semidirect
114. #10622787C22semidirect
115. #10622786C22semidirect
116. #10622786C22semidirect
117. #10622784C22semidirect
118. #10622783C22semidirect
119. #10622782C22semidirect
120. #10622781C22semidirect
121. #10622779C22semidirect
122. #10622775C22semidirect
123. #10622775C22semidirect
124. #10622775C22semidirect
125. SD16×Dic11C22semidirect
126. SD16×Dic11C22semidirect
127. #10622772C22semidirect
128. #10622771C22semidirect
129. #10622771C22semidirect
130. #10622769C22semidirect
131. #10622768C22semidirect
132. #10622766C22semidirect
133. #10622766C22semidirect
134. #10622763C22semidirect
135. D8×Dic11C22semidirect
136. D8×Dic11C22semidirect
137. #10622750C22semidirect
138. #10622747C22semidirect
139. #10622741C22semidirect
140. #10622741C22semidirect
141. #10622729C22semidirect
142. #10622727C22semidirect
143. C8×C22⋊D11C22semidirect
144. C8×C22⋊D11C22semidirect
145. #10622665C22semidirect
146. #10622661C22semidirect
147. #10622660C22semidirect
148. #10622656C22semidirect
149. #10622654C22semidirect
150. #10622652C22semidirect
151. #10622650C22semidirect
152. #10622647C22semidirect
153. #10622584C22semidirect
154. #10622581C22semidirect
155. #10622429C22semidirect
156. #10622429C22semidirect
157. #10622427C22semidirect
158. #10622418C22semidirect
159. #10622413C22semidirect
160. #10622411C22semidirect
161. #10622406C22semidirect
162. #10622405C22semidirect
163. #10622397C22semidirect
164. #10622396C22semidirect
165. #10622396C22semidirect
166. #10622391C22semidirect
167. #10622391C22semidirect
168. #10622390C22semidirect
169. #10622389C22semidirect
170. #10622389C22semidirect
171. #10622385C22semidirect
172. #10622384C22semidirect
173. #10622383C22semidirect
174. D11×#102C22semidirect
175. #10622381C22semidirect
176. #10622380C22semidirect
177. #10622379C22semidirect
178. #10622379C22semidirect
179. #10622375C22semidirect
180. #10622374C22semidirect
181. #10622374C22semidirect
182. #10622373C22semidirect
183. #10622371C22semidirect
184. #10622371C22semidirect
185. #10622371C22semidirect
186. #10622371C22semidirect
187. #10622352C22semidirect
188. #10622351C22semidirect
189. #10622350C22semidirect
190. #10622346C22semidirect
191. #10622346C22semidirect
192. #10622342C22semidirect
193. #10622342C22semidirect
194. #10622340C22semidirect
195. #10622340C22semidirect
196. (C22⋊D11)⋊C8C22semidirect
197. (C22⋊D11)⋊C8C22semidirect
198. #10622336C22semidirect
199. #10622335C22semidirect
200. #10622334C22semidirect
201. #10622331C22semidirect
202. #10622331C22semidirect
766. #3012D11semidirect
916. C2×AGL(1,ℤ/8)C2×D11semidirect
918. C2×#135C2×D11semidirect
952. #537C2×D11semidirect
1028. #452C2×D11semidirect
1029. #452C2×D11semidirect
1040. #450C2×D11semidirect
1045. #449C2×D11semidirect
1046. #449C2×D11semidirect
1051. #447C2×D11semidirect
1073. #417C2×D11semidirect
1077. C2×#102C2×D11semidirect
1081. #408C2×D11semidirect
1688. C11#61658semidirect

Maximal subgroups

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

subgroupindex
#130829952
#130823752
#130809282
#130808512
#130808362
#130808332
#130805372
#130804472
#130804442
#130804362
#130803322
#130803272
#130803172
#130803102
#130802602
#130802472
#130802452
#130802102
#130795892
#130795702
#130795252
#130795222
#130795002
#130794972
#130786582
#130786192
#130779152
#130778932
#130778882
#130776802
C11×#30122
#6165811