Finite Group Databasebeta

← #15639257

Subgroups — #15639257

Order 2816.

2138 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#13082450C211yesmaximal, characteristic, complemented
2#13082099C211yesmaximal, characteristic, complemented
3#13080887C211yesmaximal, characteristic, complemented
4#13080835C211yesmaximal, characteristic, complemented
5#13080793C211yesmaximal, characteristic, complemented
6#13080763C211yesmaximal, characteristic, complemented
7#13080745C211yesmaximal, characteristic, complemented
8#13080715C211yesmaximal, characteristic, complemented
9#13080524C211yesmaximal, characteristic, complemented
10#13080472C211yesmaximal, characteristic, complemented
11#13080354C211yesmaximal, characteristic, complemented
12#13080320C211yesmaximal, characteristic, complemented
13#13080251C211yesmaximal, characteristic, complemented
14#13080227C211yesmaximal, characteristic, complemented
15#13080183C211yesmaximal, characteristic, complemented
16#13080154C211yesmaximal, characteristic, complemented
17#13080139C211yesmaximal, characteristic, complemented
18#13080108C211yesmaximal, characteristic, complemented
19#13079651C211yesmaximal, characteristic, complemented
20#13079589C211yesmaximal, characteristic, complemented
21#13079456C211yesmaximal, characteristic, complemented
22#13079442C211yesmaximal, characteristic, complemented
23#13079407C211yesmaximal, characteristic, complemented
24#13078720C211yesmaximal, characteristic, complemented
25#13078629C211yesmaximal, characteristic, complemented
26#13077866C211yesmaximal, characteristic, complemented
27#13077854C211yesmaximal, characteristic, complemented
28#13077831C211yesmaximal, characteristic, complemented
29C2×#10622346C211yesmaximal, characteristic, complemented
30#13077647C211yesmaximal, characteristic, complemented
31C11×#3188C211yesmaximal, characteristic, complemented
32C2×#41×D11C2211yescharacteristic, complemented
33C22×#4339C2211yescharacteristic
34C11×#525C2211yescharacteristic
35C2×C11×#121C2211yescharacteristic, complemented
36#10623363C2211yescharacteristic, complemented
37#10623337C2211yescharacteristic, complemented
38#10623337C2211yescharacteristic, complemented
39#10623335—21no—
40#10623329—21no—
41C2×#66985C2211yescharacteristic, complemented
42C2×#66985C2211yescharacteristic, complemented
43C2×C4×C22⋊D11C2211yescharacteristic
44C2×#66977C2211yescharacteristic, complemented
45C2×#66969C2211yescharacteristic, complemented
46C2×#66968C2211yescharacteristic, complemented
47C2×#66965C2211yescharacteristic, complemented
48C2×#66964C2211yescharacteristic, complemented
49C22×Dic44C2211yescharacteristic, complemented
50C22×#4314C2211yescharacteristic, complemented
51#10623186—21no—
52#10623185—21no—
53#10623164C2211yescharacteristic
54#10623163C2211yescharacteristic, complemented
55#10623162C2211yescharacteristic
56#10623161C2211yescharacteristic, complemented
57#10623149C2211yescharacteristic
58#10623149C2211yescharacteristic, complemented
59#10623148—21no—
60#10623143C2211yescharacteristic
61#10623140C2211yescharacteristic, complemented
62#10623137C2211yescharacteristic, complemented
63#10623137C2211yescharacteristic, complemented
64#10623133—21no—
65#10623132—21no—
66#10623132—21no—
67#10623131C2211yescharacteristic, complemented
68#10623131C2211yescharacteristic, complemented
69#10623130C2211yescharacteristic
70#10623129C2211yescharacteristic
71#10623129C2211yescharacteristic, complemented
72#10623129C2211yescharacteristic, complemented
73#10623122—21no—
74#10623121—21no—
75#10623079—21no—
76#10623078—21no—
77#10623078—21no—
78C4×D4×D11—21no—
79#10623055C2211yescharacteristic, complemented
80#10623053C2211yescharacteristic, complemented
81#10623044C2211yescharacteristic, complemented
82#10623044C2211yescharacteristic, complemented
83#10623026—21no—
84#10623026—21no—
85C11×#484C2211yescharacteristic, complemented
86C11×#482C2211yescharacteristic, complemented
87C11×#482C2211yescharacteristic, complemented
88C11×#481C2211yescharacteristic, complemented
89C11×#466C2211yescharacteristic, complemented
90C11×#466C2211yescharacteristic, complemented
91C11×#465C2211yescharacteristic, complemented
92C11×#465C2211yescharacteristic, complemented
93C11×#450C2211yescharacteristic, complemented
94C11×#449C2211yescharacteristic, complemented
95C11×#449C2211yescharacteristic, complemented
96C11×#447C2211yescharacteristic, complemented
97C2×C11×C22⋊C8C2211yescharacteristic, complemented
98#10622852C2211yescharacteristic, complemented
99#10622852C2211yescharacteristic, complemented
100#10622820C2211yescharacteristic, complemented
101#10622785C2211yescharacteristic, complemented
102#10622783C2211yescharacteristic, complemented
103#10622781C2211yescharacteristic, complemented
104#10622780C2211yescharacteristic, complemented
105#10622778C2211yescharacteristic, complemented
106#10622775C2211yescharacteristic, complemented
107#10622771C2211yescharacteristic, complemented
108#10622769C2211yescharacteristic, complemented
109#10622768C2211yescharacteristic, complemented
110#10622767C2211yescharacteristic, complemented
111#10622766C2211yescharacteristic, complemented
112#10622763C2211yescharacteristic, complemented
113C2×#66885C2211yescharacteristic, complemented
114#10622724C2211yescharacteristic, complemented
115#10622724C2211yescharacteristic, complemented
116C8×C22⋊D11C2211yescharacteristic, complemented
117C8×C22⋊D11C2211yescharacteristic, complemented
118C2×#66880C2211yescharacteristic, complemented
119#10622665C2211yescharacteristic, complemented
120#10622665C2211yescharacteristic, complemented
121#10622663C2211yescharacteristic, complemented
122#10622657C2211yescharacteristic, complemented
123#10622655C2211yescharacteristic, complemented
124#10622655C2211yescharacteristic, complemented
125#10622653C2211yescharacteristic, complemented
126#10622653C2211yescharacteristic, complemented
127#10622653C2211yescharacteristic, complemented
128#10622650C2211yescharacteristic
129#10622650C2211yescharacteristic
130#10622650C2211yescharacteristic, complemented
131#10622650C2211yescharacteristic, complemented
132#10622649C2211yescharacteristic, complemented
133#10622649C2211yescharacteristic, complemented
134#10622647C2211yescharacteristic, complemented
135#10622609C2211yescharacteristic, complemented
136#10622609C2211yescharacteristic, complemented
137#10622579C2211yescharacteristic, complemented
138#10622579C2211yescharacteristic, complemented
139#10622504C2211yescharacteristic, complemented
140#10622502C2211yescharacteristic, complemented
141#10622501C2211yescharacteristic, complemented
142#10622500C2211yescharacteristic, complemented
143#10622499C2211yescharacteristic, complemented
144#10622498C2211yescharacteristic, complemented
145#10622490C2211yescharacteristic, complemented
146#10622486C2211yescharacteristic, complemented
147#10622484C2211yescharacteristic, complemented
148#10622481C2211yescharacteristic, complemented
149#10622480C2211yescharacteristic, complemented
150#10622479C2211yescharacteristic, complemented
151#10622477C2211yescharacteristic, complemented
152#10622470C2211yescharacteristic, complemented
153#10622466C2211yescharacteristic, complemented
154#10622465C2211yescharacteristic, complemented
155#10622423C2211yescharacteristic, complemented
156#10622421C2211yescharacteristic, complemented
157#10622417C2211yescharacteristic, complemented
158#10622415C2211yescharacteristic, complemented
159#10622413C2211yescharacteristic, complemented
160#10622411C2211yescharacteristic, complemented
161#10622410C2211yescharacteristic, complemented
162#10622406C2211yescharacteristic, complemented
163#10622400C2211yescharacteristic, complemented
164#10622400C2211yescharacteristic, complemented
165#10622398C2211yescharacteristic, complemented
166#10622396C2211yescharacteristic, complemented
167#10622396C2211yescharacteristic, complemented
168#10622396C2211yescharacteristic, complemented
169#10622395C2211yescharacteristic, complemented
170#10622394C2211yescharacteristic, complemented
171#10622394C2211yescharacteristic, complemented
172#10622393C2211yescharacteristic, complemented
173#10622391C2211yescharacteristic, complemented
174#10622389C2211yescharacteristic, complemented
175#10622388C2211yescharacteristic, complemented
176#10622385C2211yescharacteristic, complemented
177#10622383C2211yescharacteristic, complemented
178#10622381C2211yescharacteristic, complemented
179#10622380C2211yescharacteristic, complemented
180#10622380C2211yescharacteristic, complemented
181#10622380C2211yescharacteristic, complemented
182#10622377C2211yescharacteristic, complemented
183#10622375C2211yescharacteristic, complemented
184#10622371C2211yescharacteristic, complemented
185#10622370C2211yescharacteristic, complemented
186#10622369C2211yescharacteristic, complemented
187#10622346C2211yescharacteristic, complemented
188#10622346C2211yescharacteristic, complemented
189#10622346C2211yescharacteristic, complemented
190#10622346C2211yescharacteristic, complemented
191#10622346C2211yescharacteristic, complemented
192#10622346C2211yescharacteristic, complemented
193#10622346C2211yescharacteristic, complemented
194#10622346C2211yescharacteristic, complemented
195#10622342C2211yescharacteristic, complemented
196#10622342C2211yescharacteristic, complemented
197#10622341C2211yescharacteristic, complemented
198#10622341C2211yescharacteristic, complemented
199#10622339C2211yescharacteristic, complemented
200D11×C22⋊C8C2211yescharacteristic, complemented
201#10622332C2211yescharacteristic, complemented
202#10622331C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C22×D4×C11—21no—
205C22×D4×C11C2311yescharacteristic
206C23×C4×C11C2311yescharacteristic
207C22×C22⋊D11—21no—
208C22×C22⋊D11D411yescharacteristic
209#41×D11—42no—
210#41×D11—42no—
211C2×#4343C2311yescharacteristic
212C2×Q8×D11C2311yescharacteristic
213C2×#4341—21no—
214C2×#4341C2311yescharacteristic
215C2×#4341C2311yescharacteristic
216C2×#4341C2311yescharacteristic
217C2×D4×D11—21no—
218C2×D4×D11—21no—
219C2×D4×D11C2311yescharacteristic
220C2×#4339—21no—
221C2×#4339—21no—
222C2×#4339—21no—
223C2×#4339—42no—
224C2×#4339—42no—
225C2×#4339C2311yescharacteristic
226C2×#4339C2311yescharacteristic
227C2×#4339C2311yescharacteristic
228C2×#4339C2311yescharacteristic
229C22×D44C2311yescharacteristic
230C22×C4×D11—21no—
231C22×C4×D11—21no—
232C22×C4×D11C2311yescharacteristic
233C22×Dic22C2311yescharacteristic
234C22×Dic22C2311yescharacteristic
235C2×C11×SD16C2311yescharacteristic
236C2×C11×SD16C2311yescharacteristic
237C2×C11×D8C2311yescharacteristic
238C2×C11×D8C2311yescharacteristic
239C22×C8×C11C2311yescharacteristic
240C22×C8×C11C2311yescharacteristic
241C11×#123—21no—
242C11×C22⋊Q8C2311yescharacteristic
243C11×C22⋊Q8C2311yescharacteristic
244C11×#121—21no—
245C11×#121—21no—
246C11×#121C2311yescharacteristic
247C11×#121C2311yescharacteristic
248C11×#121C2311yescharacteristic
249C11×#121C2311yescharacteristic
250C11×#121C2311yescharacteristic
251C11×#121C2311yescharacteristic
252C11×#120—21no—
253C4×D4×C11—21no—
254C4×D4×C11—21no—
255C11×#117C2311yescharacteristic
256C2×C11×C4⋊C4C2311yescharacteristic
257C2×C11×C22⋊C4—21no—
258#67006—21no—
259#67006—21no—
260C2×C22⋊Dic11—21no—
261C2×C22⋊Dic11—21no—
262C2×C22⋊Dic11—21no—
263C2×C22⋊Dic11D411yescharacteristic
264#67000C2311yescharacteristic
265#66997C2311yescharacteristic
266C2×#4326C2311yescharacteristic
267C2×#4326C2311yescharacteristic
268#66993—21no—
269#66993C2311yescharacteristic
270#66992—21no—
271#66992—21no—
272#66992—21no—
273#66992—21no—
274#66992—21no—
275#66992—21no—
276#66992—21no—
277#66992—21no—
278#66992—21no—
279#66992—21no—
280#66991—21no—
281#66991C2311yescharacteristic
282#66991C2311yescharacteristic
283#66990—21no—
284#66990—21no—
285#66990—21no—
286#66990—21no—
287#66989C2311yescharacteristic
288#66989C2311yescharacteristic
289#66989C2311yescharacteristic
290#66988—21no—
291#66988—21no—
292#66988—21no—
293#66988—21no—
294D4×Dic11—21no—
295D4×Dic11—21no—
296D4×Dic11—21no—
297D4×Dic11—21no—
298D4×Dic11—21no—
299D4×Dic11—21no—
300D4×Dic11—21no—
301D4×Dic11—21no—
302D4×Dic11—21no—
303D4×Dic11C2311yescharacteristic
304D4×Dic11C2311yescharacteristic
305C2×#4324C2311yescharacteristic
306C2×#4324C2311yescharacteristic
307C2×#4324C2311yescharacteristic
308C2×#4324C2311yescharacteristic
309C2×#4324C2311yescharacteristic
310C2×#4324C2311yescharacteristic
311#66985—42no—
312#66985—42no—
313C2×#4323C2311yescharacteristic
314C2×#4323C2311yescharacteristic
315C2×#4323C2311yescharacteristic
316C2×#4323C2311yescharacteristic
317#66982—21no—
318#66982—21no—
319C4×C22⋊D11—21no—
320C4×C22⋊D11—21no—
321C4×C22⋊D11D411yescharacteristic
322C4×C22⋊D11D411yescharacteristic
323C4×C22⋊D11D411yescharacteristic
324C4×C22⋊D11D411yescharacteristic
325C4×C22⋊D11C2311yescharacteristic
326C4×C22⋊D11C2311yescharacteristic
327C4×C22⋊D11C2311yescharacteristic
328C4×C22⋊D11C2311yescharacteristic
329C2×(C2×D11)⋊C4D411yescharacteristic
330#66979—21no—
331#66979—21no—
332C2×C4⋊Dic11C2311yescharacteristic
333#66977—21no—
334#66977—21no—
335#66977C2311yescharacteristic
336#66977C2311yescharacteristic
337#66977C2311yescharacteristic
338#66977C2311yescharacteristic
339C2×Dic11⋊C4—21no—
340C2×Dic11⋊C4D411yescharacteristic
341C2×C4×Dic11C2311yescharacteristic
342C2×#4318C2311yescharacteristic
343C2×#4318C2311yescharacteristic
344#66969—42no—
345#66968—42no—
346#66965—42no—
347#66964—42no—
348C2×Dic44—42no—
349C2×Dic44C2311yescharacteristic
350C2×Dic44C2311yescharacteristic
351C2×Dic44C2311yescharacteristic
352C2×Dic44C2311yescharacteristic
353C2×#4314—42no—
354C2×#4314C2311yescharacteristic
355C2×#4314C2311yescharacteristic
356C2×#4314C2311yescharacteristic
357C2×#4314C2311yescharacteristic
358C2×#4313C2311yescharacteristic
359C2×#4313C2311yescharacteristic
360C2×C8×D11C2311yescharacteristic
361C2×C8×D11C2311yescharacteristic
362#66951—21no—
363#66951—21no—
364#66950C2311yescharacteristic
365#66950C2311yescharacteristic
366#66950C2311yescharacteristic
367#66950C2311yescharacteristic
368#66949—21no—
369#66949—21no—
370#66948—21no—
371#66948C2311yescharacteristic
372#66948C2311yescharacteristic
373#66947—21no—
374#66947—21no—
375#66946—21no—
376#66946C2311yescharacteristic
377#66946C2311yescharacteristic
378#66945C2311yescharacteristic
379#66945C2311yescharacteristic
380C4⋊C4×D11—21no—
381#66943C2311yescharacteristic
382#66943C2311yescharacteristic
383#66942—21no—
384#66942—21no—
385#66941—21no—
386#66940C2311yescharacteristic
387#66940C2311yescharacteristic
388#66940C2311yescharacteristic
389#66940C2311yescharacteristic
390#66939—21no—
391#66939—21no—
392#66939—21no—
393#66938—21no—
394#66938—21no—
395#66938—21no—
396#66938—21no—
397#66937—21no—
398#66937—21no—
399#66937—21no—
400#66937—21no—
401#66936—21no—
402#66936—21no—
403#66936—21no—
404#66936—21no—
405#66935—21no—
406#66935—21no—
407#66935—21no—
408(C22⋊D11)⋊C4—21no—
409(C22⋊D11)⋊C4—21no—
410(C22⋊D11)⋊C4—21no—
411(C22⋊D11)⋊C4—21no—
412(C22⋊D11)⋊C4—21no—
413(C22⋊D11)⋊C4—21no—
414C22⋊C4×D11—21no—
415C22⋊C4×D11—21no—
416#66932—21no—
417#66932—21no—
418#66932—21no—
419#66932—21no—
420#66931—21no—
421#66931—21no—
422#66931—21no—
423#66931—21no—
424#66930—21no—
425#66930—21no—
426C4×D44—21no—
427C4×D44—21no—
428#66925—21no—
429C42×D11—21no—
430C11×#107C2311yescharacteristic
431C11×#107C2311yescharacteristic
432C11×#106C2311yescharacteristic
433C11×#106C2311yescharacteristic
434C11×#103C2311yescharacteristic
435C11×#103C2311yescharacteristic
436C11×#102C2311yescharacteristic
437C11×#102C2311yescharacteristic
438C11×#102C2311yescharacteristic
439C11×#102C2311yescharacteristic
440C11×#102C2311yescharacteristic
441C11×#102C2311yescharacteristic
442C11×C22⋊C8C2311yescharacteristic
443C11×C22⋊C8C2311yescharacteristic
444C11×C22⋊C8C2311yescharacteristic
445C11×C22⋊C8C2311yescharacteristic
446#66899C2311yescharacteristic
447#66899C2311yescharacteristic
448#66896C2311yescharacteristic
449#66896C2311yescharacteristic
450C22⋊(C11⋊C8)C2311yescharacteristic
451C22⋊(C11⋊C8)C2311yescharacteristic
452C22⋊(C11⋊C8)C2311yescharacteristic
453C22⋊(C11⋊C8)C2311yescharacteristic
454#66885C2311yescharacteristic
455#66885C2311yescharacteristic
456#66885C2311yescharacteristic
457#66885C2311yescharacteristic
458(C2×D11)⋊C8C2311yescharacteristic
459(C2×D11)⋊C8C2311yescharacteristic
460(C2×D11)⋊C8C2311yescharacteristic
461(C2×D11)⋊C8C2311yescharacteristic
462#66880C2311yescharacteristic
463#66880C2311yescharacteristic
464#66880C2311yescharacteristic
465#66880C2311yescharacteristic
466#66879C2311yescharacteristic
467#66879C2311yescharacteristic
468Dic11⋊C8C2311yescharacteristic
469Dic11⋊C8C2311yescharacteristic
470Dic11⋊C8C2311yescharacteristic
471Dic11⋊C8C2311yescharacteristic
472C8×Dic11C2311yescharacteristic
473C8×Dic11C2311yescharacteristic
474#66874C2311yescharacteristic
475#66874C2311yescharacteristic
476#66874C2311yescharacteristic
477#66874C2311yescharacteristic
478#66874C2311yescharacteristic
479#66874C2311yescharacteristic
480#66874C2311yescharacteristic
481#66874C2311yescharacteristic
482#66873C2311yescharacteristic
483#66873C2311yescharacteristic
484#66873C2311yescharacteristic
485#66873C2311yescharacteristic
486#66872C2311yescharacteristic
487#66872C2311yescharacteristic
488#66871C2311yescharacteristic
489#66871C2311yescharacteristic
490#61606—111nomaximal, Sylow
491C24×C11—21no—
492C24×C11C2×D411yescharacteristic
493C23×D11—21no—
494C23×D11—21no—
495C23×D11C2×D411yescharacteristic
496C11×#41—41no—
497C11×#41—41no—
498C2×Q8×C11C2411yescharacteristic
499C2×D4×C11—21no—
500C2×D4×C11—21no—
501C2×D4×C11—21no—
502C2×D4×C11—21no—
503C2×D4×C11—21no—
504C2×D4×C11—21no—
505C2×D4×C11—21no—
506C2×D4×C11—21no—
507C2×D4×C11—41no—
508C2×D4×C11—41no—
509C2×D4×C11—44no—
510C2×D4×C11C2411yescharacteristic
511C2×D4×C11C2411yescharacteristic
512C2×D4×C11C2411yescharacteristic
513C22×C4×C11—21no—
514C22×C4×C11—21no—
515C22×C4×C11—41no—
516C22×C4×C11—41no—
517C22×C4×C11C2×D411yescharacteristic
518C22×C4×C11C2×D411yescharacteristic
519C22×C4×C11C2×D411yescharacteristic
520C22×C4×C11C2411yescharacteristic
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⋊D11—21no—
535C2×C22⋊D11—42no—
536C2×C22⋊D11—44no—
537C2×C22⋊D11C2×D411yescharacteristic
538C2×C22⋊D11C2×D411yescharacteristic
539C2×C22⋊D11C2×D411yescharacteristic
540C2×C22⋊D11C2×D411yescharacteristic
541C22×Dic11—21no—
542C22×Dic11—21no—
543C22×Dic11—21no—
544C22×Dic11—21no—
545C22×Dic11—21no—
546C22×Dic11—21no—
547C22×Dic11—21no—
548C22×Dic11—21no—
549C22×Dic11C2×D411yescharacteristic
550C22×Dic11C2×D411yescharacteristic
551C22×Dic11C2×D411yescharacteristic
552#4343—22no—
553#4343—41no—
554Q8×D11—22no—
555Q8×D11—41no—
556#4341—22no—
557#4341—41no—
558#4341—41no—
559#4341—41no—
560#4341—41no—
561#4341—41no—
562#4341—44no—
563D4×D11—22no—
564D4×D11—41no—
565D4×D11—44no—
566D4×D11—44no—
567#4339—22no—
568#4339—22no—
569#4339—22no—
570#4339—22no—
571#4339—41no—
572#4339—41no—
573#4339—41no—
574#4339—41no—
575#4339—44no—
576#4339—44no—
577#4339—44no—
578C2×D44—21no—
579C2×D44—21no—
580C2×D44—21no—
581C2×D44—22no—
582C2×D44—21no—
583C2×D44—41no—
584C2×D44C2411yescharacteristic
585C2×D44C2411yescharacteristic
586C2×C4×D11—21no—
587C2×C4×D11—21no—
588C2×C4×D11—21no—
589C2×C4×D11—21no—
590C2×C4×D11—21no—
591C2×C4×D11—21no—
592C2×C4×D11—21no—
593C2×C4×D11—21no—
594C2×C4×D11—41no—
595C2×C4×D11—41no—
596C2×C4×D11—44no—
597C2×C4×D11—44no—
598C2×C4×D11C2×D411yescharacteristic
599C2×C4×D11C2×D411yescharacteristic
600C2×C4×D11C2411yescharacteristic
601C2×C4×D11C2411yescharacteristic
602C2×Dic22—22no—
603C2×Dic22—21no—
604C2×Dic22—21no—
605C2×Dic22—21no—
606C2×Dic22—41no—
607C2×Dic22—41no—
608C2×Dic22—41no—
609C2×Dic22C2411yescharacteristic
610C2×Dic22C2411yescharacteristic
611C2×Dic22C2411yescharacteristic
612C2×Dic22C2411yescharacteristic
613C11×SD16—41no—
614C11×SD16—41no—
615C11×D8—41no—
616C11×D8—41no—
617C2×C8×C11—41no—
618C2×C8×C11—41no—
619C2×C8×C11C2411yescharacteristic
620C2×C8×C11C2411yescharacteristic
621C2×C8×C11C2411yescharacteristic
622C2×C8×C11C2411yescharacteristic
623C11×C4⋊C4—21no—
624C11×C4⋊C4—21no—
625C11×C4⋊C4—21no—
626C11×C4⋊C4C2411yescharacteristic
627C11×C4⋊C4C2411yescharacteristic
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⋊C4—21no—
636C11×C22⋊C4—21no—
637C11×C22⋊C4—21no—
638C11×C22⋊C4—21no—
639C42×C11—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⋊Dic11C2×D411yescharacteristic
655C22⋊Dic11C2×D411yescharacteristic
656C22⋊Dic11C2×D411yescharacteristic
657C22⋊Dic11C2×D411yescharacteristic
658#4326—41no—
659#4326—41no—
660#4324—22no—
661#4324—22no—
662#4324—41no—
663#4324—41no—
664#4324—41no—
665#4324—41no—
666#4323—22no—
667#4323—22no—
668#4323—41no—
669#4323—41no—
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)⋊C4—21no—
679(C2×D11)⋊C4—21no—
680(C2×D11)⋊C4—21no—
681(C2×D11)⋊C4—21no—
682(C2×D11)⋊C4C2×D411yescharacteristic
683(C2×D11)⋊C4C2×D411yescharacteristic
684(C2×D11)⋊C4C2×D411yescharacteristic
685(C2×D11)⋊C4C2×D411yescharacteristic
686C4⋊Dic11—21no—
687C4⋊Dic11—21no—
688C4⋊Dic11—21no—
689C4⋊Dic11—21no—
690C4⋊Dic11—21no—
691C4⋊Dic11—21no—
692C4⋊Dic11—21no—
693C4⋊Dic11C2411yescharacteristic
694C4⋊Dic11C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
708Dic11⋊C4C2×D411yescharacteristic
709Dic11⋊C4C2×D411yescharacteristic
710Dic11⋊C4C2×D411yescharacteristic
711C4×Dic11—21no—
712C4×Dic11—21no—
713C4×Dic11—21no—
714C4×Dic11—21no—
715C4×Dic11—21no—
716C4×Dic11—21no—
717C4×Dic11C2×D411yescharacteristic
718C4×Dic11C2×D411yescharacteristic
719C4×Dic11C2411yescharacteristic
720C4×Dic11C2411yescharacteristic
721#4318—41no—
722#4318—41no—
723C2×C11⋊C8C2411yescharacteristic
724C2×C11⋊C8C2411yescharacteristic
725C2×C11⋊C8C2411yescharacteristic
726C2×C11⋊C8C2411yescharacteristic
727Dic44—22no—
728Dic44—22no—
729Dic44—41no—
730Dic44—41no—
731#4314—22no—
732#4314—22no—
733#4314—41no—
734#4314—41no—
735#4313—41no—
736#4313—41no—
737C8×D11—41no—
738C8×D11—41no—
739#3505—111no—
740D4×#41—111no—
741#3327—111no—
742#3323—111no—
743#3320—111no—
744#3318—111no—
745#3317—111no—
746#3315—111no—
747#3301—111no—
748#3297—111no—
749#3285—111no—
750#3282—111no—
751#3275—111no—
752#3273—111no—
753#3270—111no—
754#3268—111no—
755#3267—111no—
756#3265—111no—
757#3219—111no—
758#3212—111no—
759#3197—111no—
760#3196—111no—
761#3191—111no—
762#3188D1111yescharacteristic, complemented
763#3111—111no—
764#3102—111no—
765#3006—111no—
766#3005—111no—
767#3002—111no—
768C2×#452—111no—
769#2974—111no—
770C23×C11—22no—
771C23×C11—21no—
772C23×C11—21no—
773C23×C11—21no—
774C23×C11—41no—
775C23×C11—41no—
776C23×C11—42no—
777C23×C11—81no—
778C23×C11—81no—
779C23×C11C22×D411yescharacteristic
780C23×C11C22×D411yescharacteristic
781C23×C11C22×D411yescharacteristic
782C22×D11—21no—
783C22×D11—21no—
784C22×D11—41no—
785C22×D11—41no—
786C22×D11—41no—
787C22×D11—42no—
788C22×D11—42no—
789C22×D11—42no—
790C22×D11—42no—
791C22×D11—81no—
792C22×D11—81no—
793C22×D11C22×D411yescharacteristic
794C22×D11C22×D411yescharacteristic
795Q8×C11—21no—
796Q8×C11—21no—
797D4×C11—21no—
798D4×C11—21no—
799D4×C11—21no—
800D4×C11—21no—
801D4×C11—21no—
802D4×C11—21no—
803D4×C11—42no—
804D4×C11—42no—
805D4×C11—42no—
806D4×C11—42no—
807D4×C11—42no—
808D4×C11—42no—
809D4×C11—81no—
810D4×C11—81no—
811C2×C4×C11—21no—
812C2×C4×C11—21no—
813C2×C4×C11—21no—
814C2×C4×C11—21no—
815C2×C4×C11—21no—
816C2×C4×C11—21no—
817C2×C4×C11—21no—
818C2×C4×C11—21no—
819C2×C4×C11—21no—
820C2×C4×C11—21no—
821C2×C4×C11—21no—
822C2×C4×C11—41no—
823C2×C4×C11—41no—
824C2×C4×C11—41no—
825C2×C4×C11—42no—
826C2×C4×C11—42no—
827C2×C4×C11C22×D411yescharacteristic
828C2×C4×C11C22×D411yescharacteristic
829C2×C4×C11C22×D411yescharacteristic
830C2×C4×C11C2511yescharacteristic
831C22⋊D11—24no—
832C22⋊D11—22no—
833C22⋊D11—22no—
834C22⋊D11—41no—
835C22⋊D11—41no—
836C22⋊D11—42no—
837C22⋊D11—42no—
838C22⋊D11—42no—
839C22⋊D11—42no—
840C22⋊D11—42no—
841C22⋊D11—42no—
842C22⋊D11—81no—
843C22⋊D11—81no—
844C22⋊D11—81no—
845C22⋊D11—81no—
846C22⋊D11—81no—
847C2×Dic11—21no—
848C2×Dic11—21no—
849C2×Dic11—21no—
850C2×Dic11—21no—
851C2×Dic11—21no—
852C2×Dic11—21no—
853C2×Dic11—41no—
854C2×Dic11—41no—
855C2×Dic11—41no—
856C2×Dic11—42no—
857C2×Dic11—42no—
858C2×Dic11—81no—
859C2×Dic11—81no—
860C2×Dic11—81no—
861C2×Dic11—81no—
862C2×Dic11—81no—
863C2×Dic11—81no—
864C2×Dic11C22×D411yescharacteristic
865C2×Dic11C22×D411yescharacteristic
866C2×Dic11C22×D411yescharacteristic
867C2×Dic11C22×D411yescharacteristic
868C2×Dic11C22×D411yescharacteristic
869C2×Dic11C22×D411yescharacteristic
870D44—21no—
871D44—21no—
872D44—21no—
873D44—42no—
874D44—42no—
875D44—42no—
876D44—81no—
877D44H(5,𝔽2)12yes—
878C4×D11—24no—
879C4×D11—21no—
880C4×D11—21no—
881C4×D11—21no—
882C4×D11—21no—
883C4×D11—41no—
884C4×D11—41no—
885C4×D11—42no—
886C4×D11—42no—
887C4×D11—42no—
888C4×D11—42no—
889C4×D11—42no—
890C4×D11—42no—
891C4×D11—81no—
892Dic22—21no—
893Dic22—21no—
894Dic22—21no—
895Dic22—21no—
896Dic22—21no—
897Dic22—21no—
898Dic22—21no—
899Dic22—42no—
900Dic22—42no—
901Dic22—81no—
902Dic22H(5,𝔽2)12yes—
903C8×C11—21no—
904C8×C11—21no—
905C8×C11—21no—
906C8×C11—21no—
907C11⋊C8—21no—
908C11⋊C8—21no—
909C11⋊C8—21no—
910C11⋊C8—21no—
911C22×#41—111no—
912C22×#41—111no—
913C2×#137—111no—
914C2×AGL(1,ℤ/8)—111no—
915C2×AGL(1,ℤ/8)—111no—
916C2×AGL(1,ℤ/8)—111no—
917C2×#135—111no—
918C2×#135—111no—
919C22×Q16—111no—
920C22×SD16—111no—
921#553—111no—
922#553—111no—
923#553—221no—
924#553—221no—
925#552—111no—
926#552—111no—
927#551—221no—
928#551—221no—
929#550—111no—
930D4×Q8—111no—
931#548—111no—
932#548—111no—
933#548—111no—
934#548—111no—
935#547—111no—
936#547—221no—
937#546—111no—
938#546—111no—
939#546—111no—
940#546—111no—
941#546—221no—
942#546—221no—
943D42—111no—
944D42—221no—
945#539—221no—
946#538—221no—
947#534—221no—
948#532—111no—
949#532—221no—
950#529—111no—
951#529—111no—
952#525—111no—
953#525—111no—
954#525—111no—
955#525—221no—
956#525—221no—
957#525C2×D1111yescharacteristic
958C2×C22⋊Q8—111no—
959C2×#121C2×D1111yescharacteristic, complemented
960#518—221no—
961C4×#41—111no—
962C2×C4×D4—111no—
963C2×C4×D4—221no—
964#497—111no—
965#496—111no—
966#495—111no—
967#495—111no—
968#491—111no—
969#490—111no—
970#488—111no—
971#488—111no—
972#485—111no—
973#485—111no—
974#485—111no—
975#485—111no—
976#484—111no—
977#484C2×D1111yescharacteristic, complemented
978#482—111no—
979#482—111no—
980#482C2×D1111yescharacteristic, complemented
981#482C2×D1111yescharacteristic, complemented
982#481—111no—
983#481C2×D1111yescharacteristic, complemented
984#479—111no—
985#479—111no—
986#478—111no—
987#478—111no—
988#470—111no—
989#470—111no—
990#470—111no—
991#469—111no—
992#468—111no—
993#468—111no—
994#468—111no—
995#468—111no—
996#467—111no—
997#466—111no—
998#466C2×D1111yescharacteristic, complemented
999#466C2×D1111yescharacteristic, complemented
1000#465—111no—
1001#465—111no—
1002#465C2×D1111yescharacteristic, complemented
1003#465C2×D1111yescharacteristic, complemented
1004#464—111no—
1005#464—111no—
1006#464—111no—
1007#464—111no—
1008#463—111no—
1009#463—111no—
1010#463—111no—
1011#463—111no—
1012#462—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#452—111no—
1029#452—111no—
1030#451—111no—
1031#451—111no—
1032#450—111no—
1033#450C2×D1111yescharacteristic, complemented
1034#449—111no—
1035#449—111no—
1036#449—111no—
1037#449—111no—
1038#449—111no—
1039#449—111no—
1040#449—111no—
1041#449—111no—
1042#449C2×D1111yescharacteristic, complemented
1043#449C2×D1111yescharacteristic, complemented
1044#448—111no—
1045#448—111no—
1046#448—111no—
1047#448—111no—
1048#447—111no—
1049#447—111no—
1050#447—111no—
1051#447C2×D1111yescharacteristic, complemented
1052#442—111no—
1053#441—111no—
1054#440—111no—
1055#440—111no—
1056C4×Q16—111no—
1057C4×SD16—111no—
1058C4×SD16—111no—
1059C4×D8—111no—
1060#436—111no—
1061#436—111no—
1062#435—111no—
1063#435—111no—
1064#435—111no—
1065#435—111no—
1066C8×D4—111no—
1067C8×D4—111no—
1068#432—111no—
1069#431—111no—
1070#419—111no—
1071#418—111no—
1072#417—111no—
1073#417—111no—
1074#416—111no—
1075#416—111no—
1076C2×#103—111no—
1077C2×#102—111no—
1078#407—111no—
1079#407—111no—
1080C2×C22⋊C8—111no—
1081C2×C22⋊C8C2×D1111yescharacteristic, complemented
1082C22×C11—21no—
1083C22×C11—21no—
1084C22×C11—21no—
1085C22×C11—21no—
1086C22×C11—21no—
1087C22×C11—21no—
1088C22×C11—21no—
1089C22×C11—21no—
1090C22×C11—41no—
1091C22×C11—41no—
1092C22×C11—41no—
1093C22×C11—41no—
1094C22×C11—41no—
1095C22×C11—41no—
1096C22×C11—41no—
1097C22×C11—41no—
1098C22×C11—41no—
1099C22×C11—82no—
1100C22×C11—162no—
1101C22×C11#57512yes—
1102C22×C11C23×D411yescharacteristic
1103C2×D11—21no—
1104C2×D11—21no—
1105C2×D11—22no—
1106C2×D11—21no—
1107C2×D11—21no—
1108C2×D11—21no—
1109C2×D11—21no—
1110C2×D11—41no—
1111C2×D11—41no—
1112C2×D11—41no—
1113C2×D11—41no—
1114C2×D11—41no—
1115C2×D11—82no—
1116C2×D11—84no—
1117C2×D11—84no—
1118C4×C11—21no—
1119C4×C11—21no—
1120C4×C11—21no—
1121C4×C11—41no—
1122C4×C11—41no—
1123C4×C11—41no—
1124C4×C11—41no—
1125C4×C11—41no—
1126C4×C11C2×H(5,𝔽2)11yescharacteristic
1127C4×C11C2×H(5,𝔽2)11yescharacteristic
1128Dic11—21no—
1129Dic11—21no—
1130Dic11—22no—
1131Dic11—21no—
1132Dic11—21no—
1133Dic11—21no—
1134Dic11—21no—
1135Dic11—41no—
1136Dic11—41no—
1137Dic11—41no—
1138Dic11—41no—
1139Dic11—41no—
1140C2×#41—111no—
1141C2×#41—111no—
1142C2×#41—111no—
1143C2×#41—111no—
1144C2×#41—111no—
1145C2×#41—111no—
1146C2×#41—111no—
1147C2×#41—111no—
1148C2×#41—221no—
1149C2×#41—221no—
1150C2×#41—221no—
1151C2×#41—221no—
1152C2×#41—442no—
1153C2×#41—442no—
1154C2×#41—442no—
1155C2×#41—442no—
1156C2×#41C22×D1111yescharacteristic
1157C22×Q8—111no—
1158C22×Q8—111no—
1159C22×Q8—111no—
1160C22×D4—21no—
1161C22×D4—111no—
1162C22×D4—111no—
1163C22×D4—111no—
1164C22×D4—221no—
1165C22×D4—221no—
1166C22×D4—221no—
1167C22×D4C22×D1111yescharacteristic
1168C23×C4—111no—
1169C23×C4—221no—
1170C23×C4—221no—
1171C23×C4C22×D1111yescharacteristic
1172#137—442no—
1173AGL(1,ℤ/8)—442no—
1174AGL(1,ℤ/8)—442no—
1175AGL(1,ℤ/8)—442no—
1176#135—442no—
1177#135—442no—
1178C2×Q16—111no—
1179C2×Q16—111no—
1180C2×Q16—111no—
1181C2×Q16—111no—
1182C2×Q16—111no—
1183C2×Q16—111no—
1184C2×Q16—442no—
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—111no—
1195C2×SD16—442no—
1196C2×SD16C22×D1111yescharacteristic
1197C2×SD16C22×D1111yescharacteristic
1198C2×D8—111no—
1199C2×D8—111no—
1200C2×D8—111no—
1201C2×D8—111no—
1202C2×D8C22×D1111yescharacteristic
1203C2×D8C22×D1111yescharacteristic
1204C2×M16—111no—
1205C2×M16—111no—
1206C2×M16—111no—
1207C2×M16—111no—
1208C22×C8—111no—
1209C22×C8—111no—
1210C22×C8C22×D1111yescharacteristic
1211C22×C8C22×D1111yescharacteristic
1212C4⋊Q8—111no—
1213C4⋊Q8—221no—
1214#127—111no—
1215#127—221no—
1216#126—221no—
1217#126—221no—
1218#126—221no—
1219#126—221no—
1220#126—221no—
1221#126—221no—
1222#125—111no—
1223#125—111no—
1224#125—221no—
1225#125—221no—
1226#124—111no—
1227#124—111no—
1228#124—111no—
1229#124—111no—
1230#124—221no—
1231#124—221no—
1232#124—221no—
1233#124—221no—
1234#123—21no—
1235#123—221no—
1236#123—221no—
1237#123—221no—
1238#123—221no—
1239#123—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—
1250C22⋊Q8—111no—
1251C22⋊Q8—111no—
1252C22⋊Q8—111no—
1253C22⋊Q8—111no—
1254C22⋊Q8—111no—
1255C22⋊Q8—111no—
1256C22⋊Q8—111no—
1257C22⋊Q8—111no—
1258C22⋊Q8—221no—
1259C22⋊Q8—221no—
1260C22⋊Q8—221no—
1261C22⋊Q8—221no—
1262C22⋊Q8—221no—
1263C22⋊Q8—221no—
1264C22⋊Q8—221no—
1265C22⋊Q8—221no—
1266C22⋊Q8C22×D1111yescharacteristic
1267C22⋊Q8C22×D1111yescharacteristic
1268#121—21no—
1269#121—21no—
1270#121—111no—
1271#121—111no—
1272#121—111no—
1273#121—111no—
1274#121—221no—
1275#121—221no—
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#121C22×D1111yescharacteristic
1291#121C22×D1111yescharacteristic
1292#121C22×D1111yescharacteristic
1293#121C22×D1111yescharacteristic
1294#121C22×D1111yescharacteristic
1295#121C22×D1111yescharacteristic
1296#120—21no—
1297#120—221no—
1298#120—221no—
1299#120—221no—
1300#120—221no—
1301#120—221no—
1302#120—221no—
1303#120—221no—
1304#120—221no—
1305#120—221no—
1306C4×Q8—111no—
1307C4×Q8—111no—
1308C4×Q8—111no—
1309C4×Q8—111no—
1310C4×D4—21no—
1311C4×D4—21no—
1312C4×D4—111no—
1313C4×D4—111no—
1314C4×D4—111no—
1315C4×D4—111no—
1316C4×D4—111no—
1317C4×D4—111no—
1318C4×D4—111no—
1319C4×D4—111no—
1320C4×D4—111no—
1321C4×D4—111no—
1322C4×D4—111no—
1323C4×D4—111no—
1324C4×D4—221no—
1325C4×D4—221no—
1326C4×D4—221no—
1327C4×D4—221no—
1328C4×D4—221no—
1329C4×D4—221no—
1330C4×D4—221no—
1331C4×D4—221no—
1332C4×D4—221no—
1333C4×D4—221no—
1334C4×D4—221no—
1335C4×D4—221no—
1336C4×D4—221no—
1337C4×D4—221no—
1338C4×D4—221no—
1339C4×D4—221no—
1340C4×D4—221no—
1341C4×D4—221no—
1342C4×D4—221no—
1343C4×D4—221no—
1344#117—111no—
1345#117—111no—
1346#117—221no—
1347#117—221no—
1348#117—221no—
1349#117—221no—
1350#117—221no—
1351#117C22×D1111yescharacteristic
1352C2×C4⋊C4—111no—
1353C2×C4⋊C4—111no—
1354C2×C4⋊C4—221no—
1355C2×C4⋊C4—221no—
1356C2×C4⋊C4C22×D1111yescharacteristic
1357C2×C22⋊C4—21no—
1358C2×C22⋊C4—111no—
1359C2×C22⋊C4—111no—
1360C2×C22⋊C4—221no—
1361C2×C22⋊C4—221no—
1362C2×C22⋊C4—221no—
1363C2×C22⋊C4—221no—
1364C2×C22⋊C4—221no—
1365C2×C42—111no—
1366C2×C42—221no—
1367#107—111no—
1368#107—111no—
1369#107C22×D1111yescharacteristic
1370#107C22×D1111yescharacteristic
1371#106—111no—
1372#106—111no—
1373#106C22×D1111yescharacteristic
1374#106C22×D1111yescharacteristic
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#103—111no—
1392#103—111no—
1393#103C22×D1111yescharacteristic
1394#103C22×D1111yescharacteristic
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
1423#97—111no—
1424#97—111no—
1425C4×C8—111no—
1426C4×C8—111no—
1427C2×C11—22no—
1428C2×C11—41no—
1429C2×C11—41no—
1430C2×C11—81no—
1431C2×C11—81no—
1432C2×C11—81no—
1433C2×C11#348411yescharacteristic
1434C2×C11C2×#57511yescharacteristic
1435C2×C11#358411yescharacteristic
1436D11—41no—
1437D11—41no—
1438D11—42no—
1439D11—81no—
1440C24—21no—
1441C24—111no—
1442C24—221no—
1443C24—221no—
1444C24D4×D1111yescharacteristic
1445#41—41no—
1446#41—41no—
1447#41—222no—
1448#41—222no—
1449#41—222no—
1450#41—222no—
1451#41—222no—
1452#41—222no—
1453#41—441no—
1454#41—441no—
1455#41—441no—
1456#41—441no—
1457#41—444no—
1458#41—444no—
1459#41—444no—
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—222no—
1473C2×Q8—221no—
1474C2×Q8—221no—
1475C2×Q8—222no—
1476C2×Q8—441no—
1477C2×Q8—441no—
1478C2×Q8—441no—
1479C2×Q8—441no—
1480C2×Q8C23×D1111yescharacteristic
1481C2×D4—21no—
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—41no—
1490C2×D4—41no—
1491C2×D4—44no—
1492C2×D4—111no—
1493C2×D4—111no—
1494C2×D4—111no—
1495C2×D4—111no—
1496C2×D4—111no—
1497C2×D4—111no—
1498C2×D4—222no—
1499C2×D4—221no—
1500C2×D4—221no—
1501C2×D4—221no—
1502C2×D4—221no—
1503C2×D4—221no—
1504C2×D4—221no—
1505C2×D4—222no—
1506C2×D4—221no—
1507C2×D4—221no—
1508C2×D4—221no—
1509C2×D4—221no—
1510C2×D4—221no—
1511C2×D4—221no—
1512C2×D4—221no—
1513C2×D4—221no—
1514C2×D4—221no—
1515C2×D4—221no—
1516C2×D4—441no—
1517C2×D4—441no—
1518C2×D4—444no—
1519C2×D4—444no—
1520C2×D4—442no—
1521C2×D4—444no—
1522C2×D4C23×D1111yescharacteristic
1523C2×D4C23×D1111yescharacteristic
1524C2×D4C23×D1111yescharacteristic
1525C22×C4—21no—
1526C22×C4—21no—
1527C22×C4—41no—
1528C22×C4—41no—
1529C22×C4—111no—
1530C22×C4—111no—
1531C22×C4—111no—
1532C22×C4—111no—
1533C22×C4—111no—
1534C22×C4—111no—
1535C22×C4—111no—
1536C22×C4—221no—
1537C22×C4—221no—
1538C22×C4—221no—
1539C22×C4—221no—
1540C22×C4—221no—
1541C22×C4—221no—
1542C22×C4—221no—
1543C22×C4—221no—
1544C22×C4—221no—
1545C22×C4—221no—
1546C22×C4—221no—
1547C22×C4—221no—
1548C22×C4—221no—
1549C22×C4—221no—
1550C22×C4—221no—
1551C22×C4—221no—
1552C22×C4—441no—
1553C22×C4—441no—
1554C22×C4—444no—
1555C22×C4—444no—
1556C22×C4D4×D1111yescharacteristic
1557C22×C4D4×D1111yescharacteristic
1558C22×C4D4×D1111yescharacteristic
1559C22×C4C23×D1111yescharacteristic
1560C22×C4C23×D1111yescharacteristic
1561C22×C4C23×D1111yescharacteristic
1562Q16—222no—
1563Q16—222no—
1564Q16—441no—
1565Q16—441no—
1566Q16—441no—
1567Q16—441no—
1568SD16—41no—
1569SD16—41no—
1570SD16—222no—
1571SD16—222no—
1572SD16—222no—
1573SD16—222no—
1574SD16—441no—
1575SD16—441no—
1576SD16—441no—
1577SD16—441no—
1578SD16—441no—
1579SD16—441no—
1580D8—41no—
1581D8—41no—
1582D8—222no—
1583D8—222no—
1584D8—441no—
1585D8—441no—
1586M16—441no—
1587M16—441no—
1588M16—441no—
1589M16—441no—
1590C2×C8—41no—
1591C2×C8—41no—
1592C2×C8—111no—
1593C2×C8—111no—
1594C2×C8—111no—
1595C2×C8—111no—
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—221no—
1612C4⋊C4—221no—
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⋊C4C23×D1111yescharacteristic
1631C4⋊C4C23×D1111yescharacteristic
1632C4⋊C4C23×D1111yescharacteristic
1633C4⋊C4C23×D1111yescharacteristic
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—111no—
1644C22⋊C4—111no—
1645C22⋊C4—111no—
1646C22⋊C4—111no—
1647C22⋊C4—111no—
1648C22⋊C4—111no—
1649C22⋊C4—111no—
1650C22⋊C4—111no—
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—
1677C42—21no—
1678C42—111no—
1679C42—111no—
1680C42—111no—
1681C42—111no—
1682C42—221no—
1683C42—221no—
1684C42—221no—
1685C42—221no—
1686C42—221no—
1687C42—221no—
1688C11#6160611yescharacteristic, complemented, Sylow
1689C23—22no—
1690C23—21no—
1691C23—21no—
1692C23—21no—
1693C23—41no—
1694C23—41no—
1695C23—42no—
1696C23—81no—
1697C23—81no—
1698C23—111no—
1699C23—111no—
1700C23—221no—
1701C23—221no—
1702C23—441no—
1703C23—441no—
1704C23—441no—
1705C23—442no—
1706C23—442no—
1707C23—442no—
1708C23—442no—
1709C23—881no—
1710C23—881no—
1711C23C2×D4×D1111yescharacteristic
1712C23C2×D4×D1111yescharacteristic
1713C23C2×D4×D1111yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—112no—
1717Q8—221no—
1718Q8—221no—
1719Q8—221no—
1720Q8—221no—
1721Q8—221no—
1722Q8—221no—
1723Q8—221no—
1724Q8—442no—
1725Q8—442no—
1726Q8—881no—
1727D4—21no—
1728D4—21no—
1729D4—21no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—42no—
1734D4—42no—
1735D4—42no—
1736D4—42no—
1737D4—42no—
1738D4—42no—
1739D4—81no—
1740D4—81no—
1741D4—112no—
1742D4—224no—
1743D4—222no—
1744D4—222no—
1745D4—221no—
1746D4—221no—
1747D4—221no—
1748D4—442no—
1749D4—442no—
1750D4—442no—
1751D4—441no—
1752D4—441no—
1753D4—442no—
1754D4—442no—
1755D4—442no—
1756D4—442no—
1757D4—442no—
1758D4—442no—
1759D4—881no—
1760D4—881no—
1761D4—881no—
1762D4—881no—
1763D4—881no—
1764D4—881no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—41no—
1777C2×C4—41no—
1778C2×C4—41no—
1779C2×C4—42no—
1780C2×C4—42no—
1781C2×C4—111no—
1782C2×C4—111no—
1783C2×C4—111no—
1784C2×C4—111no—
1785C2×C4—111no—
1786C2×C4—111no—
1787C2×C4—224no—
1788C2×C4—221no—
1789C2×C4—221no—
1790C2×C4—221no—
1791C2×C4—221no—
1792C2×C4—221no—
1793C2×C4—221no—
1794C2×C4—221no—
1795C2×C4—221no—
1796C2×C4—221no—
1797C2×C4—221no—
1798C2×C4—441no—
1799C2×C4—441no—
1800C2×C4—442no—
1801C2×C4—442no—
1802C2×C4—442no—
1803C2×C4—442no—
1804C2×C4—442no—
1805C2×C4—442no—
1806C2×C4—441no—
1807C2×C4—441no—
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—21no—
1834C22—21no—
1835C22—21no—
1836C22—21no—
1837C22—21no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—41no—
1846C22—41no—
1847C22—82no—
1848C22—162no—
1849C22—221no—
1850C22—222no—
1851C22—221no—
1852C22—221no—
1853C22—221no—
1854C22—221no—
1855C22—221no—
1856C22—441no—
1857C22—441no—
1858C22—441no—
1859C22—441no—
1860C22—441no—
1861C22—884no—
1862C22—882no—
1863C22—884no—
1864C22#1062330412yes—
1865C22C22×D4×D1111yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—21no—
1869C4—41no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—221no—
1875C4—221no—
1876C4—222no—
1877C4—221no—
1878C4—221no—
1879C4—221no—
1880C4—221no—
1881C4—441no—
1882C4—441no—
1883C4—441no—
1884C4—441no—
1885C4—441no—
1886C4D11×H(5,𝔽2)11yescharacteristic
1887C4D11×H(5,𝔽2)11yescharacteristic
1888C2—22no—
1889C2—41no—
1890C2—41no—
1891C2—81no—
1892C2—81no—
1893C2—81no—
1894C2—441no—
1895C2—441no—
1896C2—442no—
1897C2—881no—
1898C2#1308224811yescharacteristic
1899C2C2×#1062330411yescharacteristic
1900C2#1308338511yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3188C2
socleC22×C11C23×D4
hypercenter#3188D11
hypocenterC11#61606
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3188

Complements

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

NH ≅ G/Ntype
1. #13082450C2semidirect
2. #13082099C2semidirect
3. #13080887C2semidirect
4. #13080835C2semidirect
5. #13080793C2semidirect
6. #13080763C2semidirect
7. #13080745C2semidirect
8. #13080715C2semidirect
9. #13080524C2semidirect
10. #13080472C2semidirect
11. #13080354C2semidirect
12. #13080320C2semidirect
13. #13080251C2semidirect
14. #13080227C2semidirect
15. #13080183C2semidirect
16. #13080154C2semidirect
17. #13080139C2semidirect
18. #13080108C2semidirect
19. #13079651C2semidirect
20. #13079589C2semidirect
21. #13079456C2semidirect
22. #13079442C2semidirect
23. #13079407C2semidirect
24. #13078720C2semidirect
25. #13078629C2semidirect
26. #13077866C2semidirect
27. #13077854C2semidirect
28. #13077831C2semidirect
29. C2×#10622346C2semidirect
30. #13077647C2semidirect
31. C11×#3188C2semidirect
32. C2×#41×D11C22semidirect
35. C2×C11×#121C22semidirect
36. #10623363C22semidirect
37. #10623337C22semidirect
38. #10623337C22semidirect
41. C2×#66985C22semidirect
42. C2×#66985C22semidirect
44. C2×#66977C22semidirect
45. C2×#66969C22semidirect
46. C2×#66968C22semidirect
47. C2×#66965C22semidirect
48. C2×#66964C22semidirect
49. C22×Dic44C22semidirect
50. C22×#4314C22semidirect
54. #10623163C22semidirect
56. #10623161C22semidirect
58. #10623149C22semidirect
61. #10623140C22semidirect
62. #10623137C22semidirect
63. #10623137C22semidirect
67. #10623131C22semidirect
68. #10623131C22semidirect
71. #10623129C22semidirect
72. #10623129C22semidirect
79. #10623055C22semidirect
80. #10623053C22semidirect
81. #10623044C22semidirect
82. #10623044C22semidirect
85. C11×#484C22semidirect
86. C11×#482C22semidirect
87. C11×#482C22semidirect
88. C11×#481C22semidirect
89. C11×#466C22semidirect
90. C11×#466C22semidirect
91. C11×#465C22semidirect
92. C11×#465C22semidirect
93. C11×#450C22semidirect
94. C11×#449C22semidirect
95. C11×#449C22semidirect
96. C11×#447C22semidirect
97. C2×C11×C22⋊C8C22semidirect
98. #10622852C22semidirect
99. #10622852C22semidirect
100. #10622820C22semidirect
101. #10622785C22semidirect
102. #10622783C22semidirect
103. #10622781C22semidirect
104. #10622780C22semidirect
105. #10622778C22semidirect
106. #10622775C22semidirect
107. #10622771C22semidirect
108. #10622769C22semidirect
109. #10622768C22semidirect
110. #10622767C22semidirect
111. #10622766C22semidirect
112. #10622763C22semidirect
113. C2×#66885C22semidirect
114. #10622724C22semidirect
115. #10622724C22semidirect
116. C8×C22⋊D11C22semidirect
117. C8×C22⋊D11C22semidirect
118. C2×#66880C22semidirect
119. #10622665C22semidirect
120. #10622665C22semidirect
121. #10622663C22semidirect
122. #10622657C22semidirect
123. #10622655C22semidirect
124. #10622655C22semidirect
125. #10622653C22semidirect
126. #10622653C22semidirect
127. #10622653C22semidirect
130. #10622650C22semidirect
131. #10622650C22semidirect
132. #10622649C22semidirect
133. #10622649C22semidirect
134. #10622647C22semidirect
135. #10622609C22semidirect
136. #10622609C22semidirect
137. #10622579C22semidirect
138. #10622579C22semidirect
139. #10622504C22semidirect
140. #10622502C22semidirect
141. #10622501C22semidirect
142. #10622500C22semidirect
143. #10622499C22semidirect
144. #10622498C22semidirect
145. #10622490C22semidirect
146. #10622486C22semidirect
147. #10622484C22semidirect
148. #10622481C22semidirect
149. #10622480C22semidirect
150. #10622479C22semidirect
151. #10622477C22semidirect
152. #10622470C22semidirect
153. #10622466C22semidirect
154. #10622465C22semidirect
155. #10622423C22semidirect
156. #10622421C22semidirect
157. #10622417C22semidirect
158. #10622415C22semidirect
159. #10622413C22semidirect
160. #10622411C22semidirect
161. #10622410C22semidirect
162. #10622406C22semidirect
163. #10622400C22semidirect
164. #10622400C22semidirect
165. #10622398C22semidirect
166. #10622396C22semidirect
167. #10622396C22semidirect
168. #10622396C22semidirect
169. #10622395C22semidirect
170. #10622394C22semidirect
171. #10622394C22semidirect
172. #10622393C22semidirect
173. #10622391C22semidirect
174. #10622389C22semidirect
175. #10622388C22semidirect
176. #10622385C22semidirect
177. #10622383C22semidirect
178. #10622381C22semidirect
179. #10622380C22semidirect
180. #10622380C22semidirect
181. #10622380C22semidirect
182. #10622377C22semidirect
183. #10622375C22semidirect
184. #10622371C22semidirect
185. #10622370C22semidirect
186. #10622369C22semidirect
187. #10622346C22semidirect
188. #10622346C22semidirect
189. #10622346C22semidirect
190. #10622346C22semidirect
191. #10622346C22semidirect
192. #10622346C22semidirect
193. #10622346C22semidirect
194. #10622346C22semidirect
195. #10622342C22semidirect
196. #10622342C22semidirect
197. #10622341C22semidirect
198. #10622341C22semidirect
199. #10622339C22semidirect
200. D11×C22⋊C8C22semidirect
201. #10622332C22semidirect
202. #10622331C22semidirect
762. #3188D11semidirect
959. C2×#121C2×D11semidirect
977. #484C2×D11semidirect
980. #482C2×D11semidirect
981. #482C2×D11semidirect
983. #481C2×D11semidirect
998. #466C2×D11semidirect
999. #466C2×D11semidirect
1002. #465C2×D11semidirect
1003. #465C2×D11semidirect
1033. #450C2×D11semidirect
1042. #449C2×D11semidirect
1043. #449C2×D11semidirect
1051. #447C2×D11semidirect
1081. C2×C22⋊C8C2×D11semidirect
1688. C11#61606semidirect

Maximal subgroups

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

subgroupindex
#130824502
#130820992
#130808872
#130808352
#130807932
#130807632
#130807452
#130807152
#130805242
#130804722
#130803542
#130803202
#130802512
#130802272
#130801832
#130801542
#130801392
#130801082
#130796512
#130795892
#130794562
#130794422
#130794072
#130787202
#130786292
#130778662
#130778542
#130778312
C2×#106223462
#130776472
C11×#31882
#6160611