Finite Group Databasebeta

← #15624563

Subgroups — #15624563

Order 2816.

2130 conjugacy classes of subgroups.

The subgroup lattice has 1904 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13081944C211yesmaximal, characteristic
2D11×#536C211yesmaximal, characteristic, complemented
3#13079510C211yesmaximal, characteristic, complemented
4#13079509C211yesmaximal, characteristic, complemented
5#13079508C211yesmaximal, characteristic, complemented
6#13079506C211yesmaximal, characteristic, complemented
7#13079505C211yesmaximal, characteristic, complemented
8#13079503C211yesmaximal, characteristic, complemented
9#13079500C211yesmaximal, characteristic, complemented
10#13079498C211yesmaximal, characteristic, complemented
11#13079497C211yesmaximal, characteristic, complemented
12#13079495C211yesmaximal, characteristic, complemented
13#13079492C211yesmaximal, characteristic, complemented
14#13079490C211yesmaximal, characteristic, complemented
15#13079486C211yesmaximal, characteristic, complemented
16#13079484C211yesmaximal, characteristic, complemented
17#13079482C211yesmaximal, characteristic, complemented
18#13078561C211yesmaximal, characteristic, complemented
19#13078559C211yesmaximal, characteristic, complemented
20#13078548C211yesmaximal, characteristic, complemented
21#13078544C211yesmaximal, characteristic, complemented
22#13078245C211yesmaximal, characteristic, complemented
23#13078243C211yesmaximal, characteristic, complemented
24#13078241C211yesmaximal, characteristic, complemented
25#13078239C211yesmaximal, characteristic, complemented
26#13077873C211yesmaximal, characteristic, complemented
27#13077873C211yesmaximal, characteristic, complemented
28#13077851C211yesmaximal, characteristic, complemented
29#13077847C211yesmaximal, characteristic, complemented
30#13077058C211yesmaximal, characteristic, complemented
31C11×#3201C211yesmaximal, characteristic, complemented
32C2×#41×D11C2211yescharacteristic
33C2×#41×D11C2211yescharacteristic
34C22×Q8×D11C2211yescharacteristic, complemented
35C11×#537C2211yescharacteristic
36C11×#536C2211yescharacteristic, complemented
37#10623364C2211yescharacteristic
38#10623364C2211yescharacteristic
39#10623356C2211yescharacteristic, complemented
40#10623347C2211yescharacteristic
41C2×#66971C2211yescharacteristic
42C2×#66971C2211yescharacteristic
43C2×#66968C2211yescharacteristic
44C2×#66968C2211yescharacteristic
45C2×M16×D11C2211yescharacteristic, complemented
46C22×#4313C2211yescharacteristic, complemented
47#10623255—21no—
48D11×C4⋊Q8—21no—
49#10623206—21no—
50D11×#124—21no—
51D11×#123—21no—
52D11×#123—21no—
53#10623179—21no—
54#10623179—21no—
55#10623159—21no—
56#10623159C2211yescharacteristic
57#10623159C2211yescharacteristic
58#10623159C2211yescharacteristic
59#10623159C2211yescharacteristic
60#10623159C2211yescharacteristic, complemented
61#10623159C2211yescharacteristic, complemented
62#10623158—21no—
63#10623158C2211yescharacteristic
64#10623158C2211yescharacteristic
65D11×C22⋊Q8C2211yescharacteristic
66D11×C22⋊Q8C2211yescharacteristic
67D11×C22⋊Q8C2211yescharacteristic, complemented
68D11×C22⋊Q8C2211yescharacteristic, complemented
69#10623138—21no—
70#10623138C2211yescharacteristic
71#10623138C2211yescharacteristic
72#10623137—21no—
73#10623137C2211yescharacteristic
74#10623137C2211yescharacteristic
75#10623136—21no—
76#10623136—21no—
77#10623127—21no—
78#10623127—21no—
79#10623057C2211yescharacteristic
80D11×#117C2211yescharacteristic, complemented
81#10623041C2211yescharacteristic
82C2×#66945C2211yescharacteristic
83C11×#485C2211yescharacteristic, complemented
84C11×#484C2211yescharacteristic, complemented
85C11×#483C2211yescharacteristic, complemented
86C11×#482C2211yescharacteristic, complemented
87C11×#470C2211yescharacteristic, complemented
88C11×#468C2211yescharacteristic, complemented
89C11×#467C2211yescharacteristic, complemented
90C11×#465C2211yescharacteristic, complemented
91C11×#452C2211yescharacteristic, complemented
92C11×#452C2211yescharacteristic, complemented
93C11×#451C2211yescharacteristic, complemented
94C11×#448C2211yescharacteristic, complemented
95C11×#408C2211yescharacteristic, complemented
96#10622852C2211yescharacteristic, complemented
97#10622852C2211yescharacteristic, complemented
98#10622847C2211yescharacteristic, complemented
99#10622841C2211yescharacteristic, complemented
100#10622840C2211yescharacteristic, complemented
101#10622802C2211yescharacteristic, complemented
102#10622801C2211yescharacteristic, complemented
103#10622799C2211yescharacteristic, complemented
104#10622799C2211yescharacteristic, complemented
105#10622799C2211yescharacteristic, complemented
106#10622799C2211yescharacteristic, complemented
107#10622787C2211yescharacteristic, complemented
108#10622784C2211yescharacteristic, complemented
109#10622783C2211yescharacteristic, complemented
110#10622783C2211yescharacteristic, complemented
111#10622782C2211yescharacteristic, complemented
112#10622782C2211yescharacteristic, complemented
113#10622750C2211yescharacteristic, complemented
114#10622747C2211yescharacteristic, complemented
115#10622742C2211yescharacteristic
116#10622729C2211yescharacteristic, complemented
117#10622727C2211yescharacteristic, complemented
118#10622723C2211yescharacteristic
119#10622665C2211yescharacteristic, complemented
120#10622665C2211yescharacteristic, complemented
121#10622664C2211yescharacteristic, complemented
122#10622664C2211yescharacteristic, complemented
123#10622663C2211yescharacteristic, complemented
124#10622662C2211yescharacteristic, complemented
125#10622661C2211yescharacteristic, complemented
126#10622660C2211yescharacteristic, complemented
127#10622660C2211yescharacteristic, complemented
128#10622658C2211yescharacteristic, complemented
129#10622657C2211yescharacteristic, complemented
130#10622656C2211yescharacteristic, complemented
131#10622655C2211yescharacteristic, complemented
132#10622654C2211yescharacteristic, complemented
133#10622653C2211yescharacteristic, complemented
134#10622648C2211yescharacteristic, complemented
135#10622616C2211yescharacteristic, complemented
136#10622609C2211yescharacteristic, complemented
137#10622584C2211yescharacteristic, complemented
138#10622583C2211yescharacteristic, complemented
139#10622501C2211yescharacteristic, complemented
140#10622501C2211yescharacteristic, complemented
141#10622501C2211yescharacteristic, complemented
142#10622500C2211yescharacteristic, complemented
143#10622499C2211yescharacteristic, complemented
144#10622498C2211yescharacteristic, complemented
145#10622494C2211yescharacteristic, complemented
146#10622494C2211yescharacteristic, complemented
147#10622481C2211yescharacteristic, complemented
148#10622480C2211yescharacteristic, complemented
149#10622480C2211yescharacteristic, complemented
150#10622480C2211yescharacteristic, complemented
151#10622479C2211yescharacteristic, complemented
152#10622477C2211yescharacteristic, complemented
153#10622474C2211yescharacteristic, complemented
154#10622474C2211yescharacteristic, complemented
155#10622429C2211yescharacteristic, complemented
156#10622429C2211yescharacteristic, complemented
157#10622428C2211yescharacteristic, complemented
158#10622428C2211yescharacteristic, complemented
159#10622428C2211yescharacteristic, complemented
160#10622427C2211yescharacteristic, complemented
161#10622427C2211yescharacteristic, complemented
162#10622427C2211yescharacteristic, complemented
163#10622426C2211yescharacteristic, complemented
164#10622426C2211yescharacteristic, complemented
165#10622425C2211yescharacteristic, complemented
166#10622421C2211yescharacteristic, complemented
167#10622421C2211yescharacteristic, complemented
168#10622421C2211yescharacteristic, complemented
169#10622421C2211yescharacteristic, complemented
170#10622420C2211yescharacteristic, complemented
171#10622419C2211yescharacteristic, complemented
172#10622419C2211yescharacteristic, complemented
173#10622416C2211yescharacteristic
174#10622416C2211yescharacteristic
175#10622415C2211yescharacteristic, complemented
176#10622415C2211yescharacteristic, complemented
177#10622415C2211yescharacteristic, complemented
178#10622415C2211yescharacteristic, complemented
179#10622397C2211yescharacteristic, complemented
180#10622393C2211yescharacteristic, complemented
181#10622392C2211yescharacteristic, complemented
182#10622391C2211yescharacteristic, complemented
183#10622389C2211yescharacteristic, complemented
184#10622389C2211yescharacteristic, complemented
185#10622384C2211yescharacteristic
186#10622384C2211yescharacteristic
187#10622352C2211yescharacteristic, complemented
188#10622351C2211yescharacteristic, complemented
189#10622350C2211yescharacteristic, complemented
190#10622346C2211yescharacteristic, complemented
191#10622346C2211yescharacteristic, complemented
192#10622340C2211yescharacteristic
193#10622340C2211yescharacteristic
194#10622340C2211yescharacteristic, complemented
195#10622340C2211yescharacteristic, complemented
196#10622339C2211yescharacteristic
197#10622339C2211yescharacteristic
198#10622339C2211yescharacteristic, complemented
199#10622339C2211yescharacteristic, complemented
200#10622336C2211yescharacteristic, complemented
201#10622335C2211yescharacteristic, complemented
202#10622334C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C2×C11×#41C2311yescharacteristic
205C22×Q8×C11C2311yescharacteristic
206#41×D11—42no—
207#41×D11—42no—
208#41×D11—42no—
209#41×D11—42no—
210C2×#4343D411yescharacteristic
211C2×#4343C2311yescharacteristic
212C2×Q8×D11—21no—
213C2×Q8×D11—21no—
214C2×Q8×D11—42no—
215C2×Q8×D11—42no—
216C2×Q8×D11D411yescharacteristic
217C2×Q8×D11C2311yescharacteristic
218C2×Q8×D11C2311yescharacteristic
219C2×Q8×D11C2311yescharacteristic
220C2×Q8×D11C2311yescharacteristic
221C2×Q8×D11C2311yescharacteristic
222C2×#4341—21no—
223C2×#4341D411yescharacteristic
224C2×#4341D411yescharacteristic
225C2×#4341D411yescharacteristic
226C2×#4341C2311yescharacteristic
227C2×D4×D11—21no—
228C2×D4×D11D411yescharacteristic
229C2×D4×D11D411yescharacteristic
230C2×D4×D11D411yescharacteristic
231C2×D4×D11C2311yescharacteristic
232C2×#4339—21no—
233C2×#4339C2311yescharacteristic
234C2×#4339C2311yescharacteristic
235C2×#4339C2311yescharacteristic
236C2×#4339C2311yescharacteristic
237C22×C4×D11—21no—
238C22×C4×D11—21no—
239C22×C4×D11C2311yescharacteristic
240C22×C4×D11C2311yescharacteristic
241C22×C4×D11C2311yescharacteristic
242C22×Dic22—21no—
243C22×Dic22C2311yescharacteristic
244C2×C11×Q16C2311yescharacteristic
245C2×C11×Q16C2311yescharacteristic
246C2×C11×SD16C2311yescharacteristic
247C2×C11×SD16C2311yescharacteristic
248C2×C11×M16C2311yescharacteristic
249C22×C8×C11C2311yescharacteristic
250C11×C4⋊Q8—21no—
251C11×#124—21no—
252C11×#123—21no—
253C11×#123—21no—
254C11×C22⋊Q8—21no—
255C11×C22⋊Q8C2311yescharacteristic
256C11×C22⋊Q8C2311yescharacteristic
257C11×C22⋊Q8C2311yescharacteristic
258C11×C22⋊Q8C2311yescharacteristic
259C11×C22⋊Q8C2311yescharacteristic
260C11×C22⋊Q8C2311yescharacteristic
261C11×#121—21no—
262C11×#121—21no—
263C11×#121—21no—
264C11×#121C2311yescharacteristic
265C11×#121C2311yescharacteristic
266C11×#117C2311yescharacteristic
267C2×C11×C4⋊C4C2311yescharacteristic
268#67000—21no—
269#66999—21no—
270#66999C2311yescharacteristic
271#66999C2311yescharacteristic
272#66999C2311yescharacteristic
273#66999C2311yescharacteristic
274#66999C2311yescharacteristic
275#66999C2311yescharacteristic
276#66997—21no—
277#66997—21no—
278C2×#4326C2311yescharacteristic
279C2×#4326C2311yescharacteristic
280C2×#4326C2311yescharacteristic
281C2×#4326C2311yescharacteristic
282C2×#4325C2311yescharacteristic
283C2×#4325C2311yescharacteristic
284#66993—21no—
285#66993—21no—
286#66992—21no—
287#66992—21no—
288#66992—21no—
289#66992—21no—
290#66991—21no—
291#66991C2311yescharacteristic
292#66991C2311yescharacteristic
293#66990—21no—
294#66990—21no—
295#66990—21no—
296#66990—21no—
297#66989—21no—
298#66988—21no—
299#66988—21no—
300D4×Dic11—21no—
301D4×Dic11—21no—
302C2×#4324C2311yescharacteristic
303C2×#4324C2311yescharacteristic
304#66983—21no—
305#66983—21no—
306#66983—21no—
307#66983C2311yescharacteristic
308#66983C2311yescharacteristic
309#66982—21no—
310#66982—21no—
311C2×(C2×D11)⋊C4—21no—
312#66979C2311yescharacteristic
313C2×C4⋊Dic11C2311yescharacteristic
314#66977—21no—
315#66977C2311yescharacteristic
316#66977C2311yescharacteristic
317#66977C2311yescharacteristic
318#66977C2311yescharacteristic
319#66977C2311yescharacteristic
320#66977C2311yescharacteristic
321C2×C4×Dic11—21no—
322C2×#4318C2311yescharacteristic
323C22×C11⋊C8C2311yescharacteristic
324#66971—42no—
325#66971—42no—
326#66968—42no—
327#66968—42no—
328M16×D11—42no—
329C2×Dic44C2311yescharacteristic
330C2×Dic44C2311yescharacteristic
331C2×#4314C2311yescharacteristic
332C2×#4314C2311yescharacteristic
333C2×#4313—42no—
334C2×#4313C2311yescharacteristic
335C2×#4313C2311yescharacteristic
336C2×#4313C2311yescharacteristic
337C2×#4313C2311yescharacteristic
338C2×#4313C2311yescharacteristic
339C2×#4313C2311yescharacteristic
340C2×C8×D11C2311yescharacteristic
341C2×C8×D11C2311yescharacteristic
342#66950—21no—
343#66950C2311yescharacteristic
344#66950C2311yescharacteristic
345#66950C2311yescharacteristic
346#66950C2311yescharacteristic
347#66950C2311yescharacteristic
348#66950C2311yescharacteristic
349#66949—21no—
350#66949—21no—
351#66949—21no—
352#66949—21no—
353#66948—21no—
354#66948C2311yescharacteristic
355#66948C2311yescharacteristic
356#66947—21no—
357#66947—21no—
358#66947—21no—
359#66947—21no—
360#66947—21no—
361#66947—21no—
362#66947—21no—
363#66947—21no—
364#66946—21no—
365#66946—21no—
366#66945—21no—
367#66945—21no—
368#66945C2311yescharacteristic
369#66945C2311yescharacteristic
370#66945C2311yescharacteristic
371#66945C2311yescharacteristic
372#66945C2311yescharacteristic
373#66945C2311yescharacteristic
374C4⋊C4×D11—21no—
375C4⋊C4×D11—21no—
376C4⋊C4×D11—21no—
377C4⋊C4×D11—21no—
378C4⋊C4×D11C2311yescharacteristic
379C4⋊C4×D11C2311yescharacteristic
380#66941—21no—
381#66941—21no—
382#66941—21no—
383#66941—21no—
384#66941—21no—
385#66941—21no—
386#66939—21no—
387#66939—21no—
388#66938—21no—
389#66938—21no—
390#66938—21no—
391#66938—21no—
392#66938—21no—
393#66938—21no—
394#66938—21no—
395#66938—21no—
396#66936—21no—
397#66936—21no—
398#66936—21no—
399#66936—21no—
400#66936—21no—
401#66936—21no—
402#66936—21no—
403#66936—21no—
404#66935—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—
412C22⋊C4×D11—21no—
413C22⋊C4×D11—21no—
414C22⋊C4×D11—21no—
415C22⋊C4×D11—21no—
416C22⋊C4×D11—21no—
417#66931—21no—
418#66931—21no—
419#66931—21no—
420#66931—21no—
421#66930—21no—
422#66928—21no—
423#66925—21no—
424C42×D11—21no—
425#66922—21no—
426C11×#107C2311yescharacteristic
427C11×#107C2311yescharacteristic
428C11×#106C2311yescharacteristic
429C11×#106C2311yescharacteristic
430C11×#103C2311yescharacteristic
431C11×#103C2311yescharacteristic
432C11×#103C2311yescharacteristic
433C11×#103C2311yescharacteristic
434C11×#103C2311yescharacteristic
435C11×#103C2311yescharacteristic
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#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(C2×D11)⋊C8C2311yescharacteristic
457(C2×D11)⋊C8C2311yescharacteristic
458(C2×D11)⋊C8C2311yescharacteristic
459(C2×D11)⋊C8C2311yescharacteristic
460(C2×D11)⋊C8C2311yescharacteristic
461(C2×D11)⋊C8C2311yescharacteristic
462(C2×D11)⋊C8C2311yescharacteristic
463(C2×D11)⋊C8C2311yescharacteristic
464#66882C2311yescharacteristic
465#66882C2311yescharacteristic
466#66881C2311yescharacteristic
467#66881C2311yescharacteristic
468#66880C2311yescharacteristic
469#66880C2311yescharacteristic
470#66880C2311yescharacteristic
471#66880C2311yescharacteristic
472#66880C2311yescharacteristic
473#66880C2311yescharacteristic
474#66874C2311yescharacteristic
475#66874C2311yescharacteristic
476#66874C2311yescharacteristic
477#66874C2311yescharacteristic
478#66874C2311yescharacteristic
479#66874C2311yescharacteristic
480#66873C2311yescharacteristic
481#66873C2311yescharacteristic
482#66872C2311yescharacteristic
483#66872C2311yescharacteristic
484#66872C2311yescharacteristic
485#66872C2311yescharacteristic
486#66871C2311yescharacteristic
487#66871C2311yescharacteristic
488#66871C2311yescharacteristic
489#66871C2311yescharacteristic
490#60754—111nomaximal, Sylow
491C23×D11—21no—
492C23×D11C2×D411yescharacteristic
493C23×D11C2×D411yescharacteristic
494C23×D11C2×D411yescharacteristic
495C11×#41—41no—
496C11×#41—41no—
497C11×#41—41no—
498C11×#41—41no—
499C2×Q8×C11—21no—
500C2×Q8×C11—41no—
501C2×Q8×C11—41no—
502C2×Q8×C11C2×D411yescharacteristic
503C2×Q8×C11C2411yescharacteristic
504C2×Q8×C11C2411yescharacteristic
505C2×Q8×C11C2411yescharacteristic
506C2×D4×C11—21no—
507C2×D4×C11—21no—
508C2×D4×C11—21no—
509C2×D4×C11C2×D411yescharacteristic
510C2×D4×C11C2×D411yescharacteristic
511C2×D4×C11C2×D411yescharacteristic
512C2×D4×C11C2411yescharacteristic
513C22×C4×C11—21no—
514C22×C4×C11—21no—
515C22×C4×C11—21no—
516C22×C4×C11C2411yescharacteristic
517C22×C4×C11C2411yescharacteristic
518C22×C4×C11C2411yescharacteristic
519C2×C22⋊D11—21no—
520C2×C22⋊D11—21no—
521C2×C22⋊D11—21no—
522C2×C22⋊D11—21no—
523C2×C22⋊D11—21no—
524C2×C22⋊D11—21no—
525C2×C22⋊D11—21no—
526C2×C22⋊D11C2×D411yescharacteristic
527C2×C22⋊D11C2×D411yescharacteristic
528C2×C22⋊D11C2×D411yescharacteristic
529C2×C22⋊D11C2×D411yescharacteristic
530C2×C22⋊D11C2×D411yescharacteristic
531C2×C22⋊D11C2×D411yescharacteristic
532C22×Dic11—21no—
533C22×Dic11—21no—
534C22×Dic11—21no—
535C22×Dic11C2×D411yescharacteristic
536C22×Dic11C2×D411yescharacteristic
537C22×Dic11C2×D411yescharacteristic
538#4343—22no—
539#4343—22no—
540#4343—42no—
541Q8×D11—22no—
542Q8×D11—22no—
543Q8×D11—22no—
544Q8×D11—22no—
545Q8×D11—41no—
546Q8×D11—41no—
547Q8×D11—41no—
548Q8×D11—41no—
549Q8×D11—41no—
550Q8×D11—41no—
551Q8×D11—42no—
552Q8×D11—44no—
553Q8×D11—44no—
554#4341—22no—
555#4341—22no—
556#4341—42no—
557#4341—42no—
558#4341—42no—
559#4341—44no—
560D4×D11—41no—
561D4×D11—41no—
562D4×D11—42no—
563D4×D11—42no—
564D4×D11—42no—
565D4×D11—44no—
566#4339—41no—
567#4339—41no—
568#4339—41no—
569#4339—41no—
570#4339—41no—
571#4339—41no—
572#4339—41no—
573#4339—41no—
574#4339—44no—
575C2×D44—21no—
576C2×D44—21no—
577C2×D44—21no—
578C2×D44C2×D411yescharacteristic
579C2×D44C2×D411yescharacteristic
580C2×D44C2×D411yescharacteristic
581C2×D44C2411yescharacteristic
582C2×C4×D11—22no—
583C2×C4×D11—22no—
584C2×C4×D11—22no—
585C2×C4×D11—22no—
586C2×C4×D11—22no—
587C2×C4×D11—22no—
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—21no—
595C2×C4×D11—21no—
596C2×C4×D11—21no—
597C2×C4×D11—44no—
598C2×C4×D11—44no—
599C2×C4×D11C2×D411yescharacteristic
600C2×C4×D11C2×D411yescharacteristic
601C2×C4×D11C2×D411yescharacteristic
602C2×C4×D11C2×D411yescharacteristic
603C2×C4×D11C2×D411yescharacteristic
604C2×C4×D11C2×D411yescharacteristic
605C2×C4×D11C2411yescharacteristic
606C2×C4×D11C2411yescharacteristic
607C2×C4×D11C2411yescharacteristic
608C2×C4×D11C2411yescharacteristic
609C2×Dic22—21no—
610C2×Dic22—21no—
611C2×Dic22—21no—
612C2×Dic22—21no—
613C2×Dic22—21no—
614C2×Dic22—21no—
615C2×Dic22—41no—
616C2×Dic22—41no—
617C2×Dic22—44no—
618C2×Dic22C2×D411yescharacteristic
619C2×Dic22C2×D411yescharacteristic
620C2×Dic22C2×D411yescharacteristic
621C2×Dic22C2411yescharacteristic
622C2×Dic22C2411yescharacteristic
623C2×Dic22C2411yescharacteristic
624C11×Q16—41no—
625C11×Q16—41no—
626C11×SD16—41no—
627C11×SD16—41no—
628C11×M16—41no—
629C2×C8×C11—41no—
630C2×C8×C11C2411yescharacteristic
631C2×C8×C11C2411yescharacteristic
632C2×C8×C11C2411yescharacteristic
633C2×C8×C11C2411yescharacteristic
634C11×C4⋊C4—21no—
635C11×C4⋊C4—21no—
636C11×C4⋊C4—21no—
637C11×C4⋊C4—21no—
638C11×C4⋊C4—21no—
639C11×C4⋊C4—21no—
640C11×C4⋊C4—21no—
641C11×C4⋊C4C2411yescharacteristic
642C11×C4⋊C4C2411yescharacteristic
643C11×C4⋊C4C2411yescharacteristic
644C11×C4⋊C4C2411yescharacteristic
645C11×C22⋊C4—21no—
646C11×C22⋊C4—21no—
647C11×C22⋊C4—21no—
648C11×C22⋊C4—21no—
649C11×C22⋊C4—21no—
650C11×C22⋊C4—21no—
651C11×C22⋊C4—21no—
652C11×C22⋊C4—21no—
653C11×C22⋊C4—21no—
654C42×C11—21no—
655C22⋊Dic11—21no—
656C22⋊Dic11—21no—
657C22⋊Dic11—21no—
658C22⋊Dic11—21no—
659C22⋊Dic11—21no—
660C22⋊Dic11—21no—
661C22⋊Dic11—21no—
662C22⋊Dic11—21no—
663C22⋊Dic11—21no—
664#4326—41no—
665#4326—41no—
666#4326—41no—
667#4326—41no—
668#4325—41no—
669#4325—41no—
670#4324—41no—
671#4324—41no—
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)⋊C4—21no—
683(C2×D11)⋊C4—21no—
684(C2×D11)⋊C4—21no—
685(C2×D11)⋊C4—21no—
686(C2×D11)⋊C4—21no—
687(C2×D11)⋊C4—21no—
688(C2×D11)⋊C4—21no—
689(C2×D11)⋊C4—21no—
690(C2×D11)⋊C4—21no—
691(C2×D11)⋊C4—21no—
692(C2×D11)⋊C4—21no—
693(C2×D11)⋊C4—21no—
694C4⋊Dic11—21no—
695C4⋊Dic11—21no—
696C4⋊Dic11—21no—
697C4⋊Dic11—21no—
698C4⋊Dic11—21no—
699C4⋊Dic11—21no—
700C4⋊Dic11—21no—
701C4⋊Dic11C2411yescharacteristic
702C4⋊Dic11C2411yescharacteristic
703C4⋊Dic11C2411yescharacteristic
704C4⋊Dic11C2411yescharacteristic
705Dic11⋊C4—21no—
706Dic11⋊C4—21no—
707Dic11⋊C4—21no—
708Dic11⋊C4—21no—
709Dic11⋊C4—21no—
710Dic11⋊C4—21no—
711Dic11⋊C4—21no—
712Dic11⋊C4—21no—
713Dic11⋊C4—21no—
714Dic11⋊C4—21no—
715Dic11⋊C4—21no—
716Dic11⋊C4—21no—
717Dic11⋊C4—21no—
718Dic11⋊C4—21no—
719C4×Dic11—21no—
720C4×Dic11—21no—
721C4×Dic11—21no—
722C4×Dic11—21no—
723C4×Dic11—21no—
724C4×Dic11—21no—
725C4×Dic11—21no—
726#4318—41no—
727C2×C11⋊C8—41no—
728C2×C11⋊C8C2411yescharacteristic
729C2×C11⋊C8C2411yescharacteristic
730C2×C11⋊C8C2411yescharacteristic
731C2×C11⋊C8C2411yescharacteristic
732Dic44—41no—
733Dic44—41no—
734#4314—41no—
735#4314—41no—
736#4313—22no—
737#4313—22no—
738#4313—22no—
739#4313—22no—
740#4313—41no—
741#4313—41no—
742C8×D11—41no—
743C8×D11—41no—
744#3449—111no—
745C2×#536—111no—
746#3202—111no—
747#3202—111no—
748#3202—111no—
749#3202—111no—
750#3201—111no—
751#3201—111no—
752#3201—111no—
753#3201—111no—
754#3201—111no—
755#3201—111no—
756#3201—111no—
757#3201D1111yescharacteristic, complemented
758#3200—111no—
759#3200—111no—
760#3200—111no—
761#3200—111no—
762#3095—111no—
763#3095—111no—
764#3093—111no—
765#3093—111no—
766#3056—111no—
767#3056—111no—
768#3056—111no—
769#3056—111no—
770#3007—111no—
771#3007—111no—
772#3004—111no—
773#3004—111no—
774#2879—111no—
775C23×C11—21no—
776C23×C11C22×D411yescharacteristic
777C23×C11C22×D411yescharacteristic
778C23×C11C22×D411yescharacteristic
779C22×D11—22no—
780C22×D11—22no—
781C22×D11—22no—
782C22×D11—21no—
783C22×D11—41no—
784C22×D11—41no—
785C22×D11—41no—
786C22×D11—41no—
787C22×D11—41no—
788C22×D11—41no—
789C22×D11—42no—
790C22×D11—81no—
791C22×D11—81no—
792C22×D11C22×D411yescharacteristic
793C22×D11C22×D411yescharacteristic
794C22×D11C22×D411yescharacteristic
795C22×D11C22×D411yescharacteristic
796Q8×C11—21no—
797Q8×C11—21no—
798Q8×C11—21no—
799Q8×C11—21no—
800Q8×C11—21no—
801Q8×C11—21no—
802Q8×C11—41no—
803Q8×C11—42no—
804D4×C11—21no—
805D4×C11—21no—
806D4×C11—41no—
807D4×C11—41no—
808D4×C11—41no—
809D4×C11—42no—
810D4×C11—81no—
811D4×C11—81no—
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—21no—
823C2×C4×C11—21no—
824C2×C4×C11—21no—
825C2×C4×C11—42no—
826C2×C4×C11—42no—
827C2×C4×C11—81no—
828C2×C4×C11C22×D411yescharacteristic
829C2×C4×C11C22×D411yescharacteristic
830C2×C4×C11C22×D411yescharacteristic
831C2×C4×C11C2511yescharacteristic
832C22⋊D11—41no—
833C22⋊D11—41no—
834C22⋊D11—41no—
835C22⋊D11—41no—
836C22⋊D11—41no—
837C22⋊D11—41no—
838C22⋊D11—42no—
839C22⋊D11—42no—
840C22⋊D11—42no—
841C22⋊D11—81no—
842C22⋊D11—81no—
843C22⋊D11—81no—
844C22⋊D11—81no—
845C2×Dic11—22no—
846C2×Dic11—22no—
847C2×Dic11—22no—
848C2×Dic11—21no—
849C2×Dic11—21no—
850C2×Dic11—21no—
851C2×Dic11—21no—
852C2×Dic11—21no—
853C2×Dic11—21no—
854C2×Dic11—21no—
855C2×Dic11—42no—
856C2×Dic11—42no—
857C2×Dic11—81no—
858C2×Dic11C22×D411yescharacteristic
859C2×Dic11C22×D411yescharacteristic
860C2×Dic11C22×D411yescharacteristic
861C2×Dic11C22×D411yescharacteristic
862D44—21no—
863D44—21no—
864D44—41no—
865D44—41no—
866D44—41no—
867D44—42no—
868D44—81no—
869D44—81no—
870C4×D11—22no—
871C4×D11—22no—
872C4×D11—22no—
873C4×D11—21no—
874C4×D11—21no—
875C4×D11—21no—
876C4×D11—21no—
877C4×D11—21no—
878C4×D11—21no—
879C4×D11—22no—
880C4×D11—22no—
881C4×D11—22no—
882C4×D11—42no—
883C4×D11—42no—
884C4×D11—42no—
885C4×D11—42no—
886C4×D11—42no—
887C4×D11—42no—
888C4×D11—42no—
889C4×D11—42no—
890C4×D11—42no—
891C4×D11H(5,𝔽2)12yes—
892C4×D11H(5,𝔽2)12yes—
893Dic22—21no—
894Dic22—21no—
895Dic22—21no—
896Dic22—21no—
897Dic22—21no—
898Dic22—21no—
899Dic22—41no—
900Dic22—41no—
901Dic22—41no—
902Dic22—42no—
903Dic22—42no—
904Dic22—42no—
905Dic22—42no—
906Dic22—42no—
907Dic22—42no—
908C8×C11—21no—
909C8×C11—21no—
910C8×C11—21no—
911C8×C11—21no—
912C11⋊C8—21no—
913C11⋊C8—21no—
914C11⋊C8—21no—
915C11⋊C8—21no—
916C22×#41—111no—
917C22×#41—111no—
918C23×Q8—111no—
919C2×#137—111no—
920C2×#137—111no—
921C2×#137—111no—
922C2×#137—111no—
923C22×M16—111no—
924C22×M16—111no—
925#537—111no—
926#537—111no—
927#537—111no—
928#537C2×D1111yescharacteristic
929#536—111no—
930#536—111no—
931#536—111no—
932#536—111no—
933#536—111no—
934#536—111no—
935#536—111no—
936#536—111no—
937#536—111no—
938#536—221no—
939#536—221no—
940#536—221no—
941#536—221no—
942#536—221no—
943#536C2×D1111yescharacteristic, complemented
944#535—111no—
945#535—111no—
946#535—221no—
947#534—221no—
948#534—221no—
949#532—221no—
950#532—221no—
951C2×C4⋊Q8—221no—
952C2×#124—221no—
953#525—111no—
954#525—111no—
955#525—111no—
956#525—111no—
957#525—221no—
958#525—221no—
959C2×#123—221no—
960C2×#123—221no—
961C2×C22⋊Q8—111no—
962C2×C22⋊Q8—111no—
963C2×C22⋊Q8—111no—
964C2×C22⋊Q8—111no—
965C2×#117—111no—
966C2×#117—111no—
967#485—111no—
968#485—111no—
969#485—111no—
970#485—111no—
971#485—111no—
972#485—111no—
973#485—111no—
974#485—111no—
975#485—111no—
976#485—111no—
977#485—111no—
978#485—111no—
979#485—111no—
980#485—111no—
981#485—111no—
982#485C2×D1111yescharacteristic, complemented
983#484—111no—
984#484—111no—
985#484—111no—
986#484C2×D1111yescharacteristic, complemented
987#483—111no—
988#483—111no—
989#483—111no—
990#483C2×D1111yescharacteristic, complemented
991#482—111no—
992#482—111no—
993#482—111no—
994#482—111no—
995#482—111no—
996#482—111no—
997#482—111no—
998#482C2×D1111yescharacteristic, complemented
999#470—111no—
1000#470—111no—
1001#470—111no—
1002#470—111no—
1003#470—111no—
1004#470—111no—
1005#470—111no—
1006#470C2×D1111yescharacteristic, complemented
1007#468—111no—
1008#468—111no—
1009#468—111no—
1010#468—111no—
1011#468—111no—
1012#468—111no—
1013#468—111no—
1014#468C2×D1111yescharacteristic, complemented
1015#467—111no—
1016#467—111no—
1017#467—111no—
1018#467—111no—
1019#467—111no—
1020#467—111no—
1021#467—111no—
1022#467C2×D1111yescharacteristic, complemented
1023#465—111no—
1024#465—111no—
1025#465—111no—
1026#465—111no—
1027#465—111no—
1028#465—111no—
1029#465—111no—
1030#465C2×D1111yescharacteristic, complemented
1031#452—111no—
1032#452—111no—
1033#452—111no—
1034#452—111no—
1035#452—111no—
1036#452—111no—
1037#452C2×D1111yescharacteristic, complemented
1038#452C2×D1111yescharacteristic, complemented
1039#451—111no—
1040#451—111no—
1041#451—111no—
1042#451—111no—
1043#451—111no—
1044#451—111no—
1045#451—111no—
1046#451—111no—
1047#451—111no—
1048#451—111no—
1049#451—111no—
1050#451C2×D1111yescharacteristic, complemented
1051#450—111no—
1052#450—111no—
1053#450—111no—
1054#450—111no—
1055#448—111no—
1056#448—111no—
1057#448—111no—
1058#448—111no—
1059#448—111no—
1060#448—111no—
1061#448—111no—
1062#448C2×D1111yescharacteristic, complemented
1063#428—111no—
1064#428—111no—
1065#428—111no—
1066#428—111no—
1067#419—111no—
1068#419—111no—
1069#419—111no—
1070#419—111no—
1071#417—111no—
1072#417—111no—
1073#417—111no—
1074#417—111no—
1075#408—111no—
1076#408—111no—
1077#408—111no—
1078#408—111no—
1079#408—111no—
1080#408—111no—
1081#408—111no—
1082#408C2×D1111yescharacteristic, complemented
1083#407—111no—
1084#407—111no—
1085#407—111no—
1086#407—111no—
1087C22×C11—21no—
1088C22×C11—21no—
1089C22×C11—21no—
1090C22×C11—21no—
1091C22×C11—21no—
1092C22×C11—21no—
1093C22×C11—21no—
1094C22×C11—21no—
1095C22×C11—21no—
1096C22×C11—41no—
1097C22×C11—41no—
1098C22×C11—41no—
1099C22×C11C23×D411yescharacteristic
1100C2×D11—21no—
1101C2×D11—21no—
1102C2×D11—21no—
1103C2×D11—21no—
1104C2×D11—21no—
1105C2×D11—21no—
1106C2×D11—21no—
1107C2×D11—21no—
1108C2×D11—21no—
1109C2×D11—21no—
1110C2×D11—21no—
1111C2×D11—44no—
1112C2×D11—41no—
1113C2×D11—41no—
1114C2×D11—41no—
1115C2×D11—82no—
1116C2×D11—82no—
1117C2×D11—84no—
1118C2×D11#53412yes—
1119C4×C11—21no—
1120C4×C11—21no—
1121C4×C11—21no—
1122C4×C11—41no—
1123C4×C11—41no—
1124C4×C11—41no—
1125C4×C11—41no—
1126C4×C11—41no—
1127C4×C11—41no—
1128C4×C11—41no—
1129C4×C11C2×H(5,𝔽2)11yescharacteristic
1130C4×C11C2×H(5,𝔽2)11yescharacteristic
1131Dic11—21no—
1132Dic11—21no—
1133Dic11—21no—
1134Dic11—41no—
1135Dic11—41no—
1136Dic11—41no—
1137Dic11—41no—
1138Dic11—41no—
1139Dic11—41no—
1140Dic11—41no—
1141Dic11#53412yes—
1142C2×#41—111no—
1143C2×#41—111no—
1144C2×#41—111no—
1145C2×#41—111no—
1146C2×#41—111no—
1147C2×#41—111no—
1148C2×#41—111no—
1149C2×#41—111no—
1150C2×#41—111no—
1151C2×#41—111no—
1152C2×#41—221no—
1153C2×#41—221no—
1154C2×#41—442no—
1155C2×#41—442no—
1156C2×#41—442no—
1157C2×#41—442no—
1158C2×#41C22×D1111yescharacteristic
1159C2×#41C22×D1111yescharacteristic
1160C22×Q8—111no—
1161C22×Q8—111no—
1162C22×Q8—111no—
1163C22×Q8—111no—
1164C22×Q8—111no—
1165C22×Q8—111no—
1166C22×Q8—111no—
1167C22×Q8—221no—
1168C22×Q8—221no—
1169C22×Q8—221no—
1170C22×Q8—442no—
1171C22×Q8—442no—
1172C22×Q8C22×D1111yescharacteristic
1173C22×D4—111no—
1174C22×D4—111no—
1175C22×D4—111no—
1176C22×D4—111no—
1177C22×D4—221no—
1178C23×C4—111no—
1179C23×C4—111no—
1180C23×C4—111no—
1181C23×C4—221no—
1182C23×C4—221no—
1183#137—442no—
1184#137—442no—
1185#137—442no—
1186#137—442no—
1187C2×Q16—111no—
1188C2×Q16—111no—
1189C2×Q16—111no—
1190C2×Q16—111no—
1191C2×Q16—111no—
1192C2×Q16—111no—
1193C2×Q16C22×D1111yescharacteristic
1194C2×Q16C22×D1111yescharacteristic
1195C2×SD16—111no—
1196C2×SD16—111no—
1197C2×SD16—111no—
1198C2×SD16—111no—
1199C2×SD16—111no—
1200C2×SD16—111no—
1201C2×SD16C22×D1111yescharacteristic
1202C2×SD16C22×D1111yescharacteristic
1203C2×M16—111no—
1204C2×M16—111no—
1205C2×M16—111no—
1206C2×M16—111no—
1207C2×M16—111no—
1208C2×M16—111no—
1209C2×M16—111no—
1210C2×M16—442no—
1211C2×M16—442no—
1212C2×M16C22×D1111yescharacteristic
1213C22×C8—111no—
1214C22×C8—111no—
1215C22×C8—111no—
1216C22×C8C22×D1111yescharacteristic
1217C4⋊Q8—21no—
1218C4⋊Q8—221no—
1219C4⋊Q8—221no—
1220C4⋊Q8—221no—
1221C4⋊Q8—221no—
1222C4⋊Q8—221no—
1223C4⋊Q8—221no—
1224C4⋊Q8—221no—
1225C4⋊Q8—221no—
1226C4⋊Q8—221no—
1227#127—221no—
1228#127—221no—
1229#124—21no—
1230#124—221no—
1231#124—221no—
1232#124—221no—
1233#124—221no—
1234#124—221no—
1235#124—221no—
1236#124—221no—
1237#124—221no—
1238#124—221no—
1239#124—221no—
1240#124—221no—
1241#123—21no—
1242#123—21no—
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—
1257#123—221no—
1258#123—221no—
1259#123—221no—
1260#123—221no—
1261#123—221no—
1262#123—221no—
1263#123—221no—
1264#123—221no—
1265C22⋊Q8—21no—
1266C22⋊Q8—111no—
1267C22⋊Q8—111no—
1268C22⋊Q8—111no—
1269C22⋊Q8—111no—
1270C22⋊Q8—111no—
1271C22⋊Q8—111no—
1272C22⋊Q8—111no—
1273C22⋊Q8—111no—
1274C22⋊Q8—111no—
1275C22⋊Q8—111no—
1276C22⋊Q8—111no—
1277C22⋊Q8—111no—
1278C22⋊Q8—111no—
1279C22⋊Q8—111no—
1280C22⋊Q8—111no—
1281C22⋊Q8—111no—
1282C22⋊Q8—111no—
1283C22⋊Q8—111no—
1284C22⋊Q8—221no—
1285C22⋊Q8—221no—
1286C22⋊Q8—221no—
1287C22⋊Q8—221no—
1288C22⋊Q8—221no—
1289C22⋊Q8—221no—
1290C22⋊Q8—221no—
1291C22⋊Q8—221no—
1292C22⋊Q8—221no—
1293C22⋊Q8—221no—
1294C22⋊Q8—221no—
1295C22⋊Q8C22×D1111yescharacteristic
1296C22⋊Q8C22×D1111yescharacteristic
1297C22⋊Q8C22×D1111yescharacteristic
1298C22⋊Q8C22×D1111yescharacteristic
1299C22⋊Q8C22×D1111yescharacteristic
1300C22⋊Q8C22×D1111yescharacteristic
1301#121—21no—
1302#121—21no—
1303#121—21no—
1304#121—111no—
1305#121—111no—
1306#121—111no—
1307#121—111no—
1308#121—111no—
1309#121—111no—
1310#121—221no—
1311#121—221no—
1312#121—221no—
1313#121—221no—
1314#121—221no—
1315#121—221no—
1316#121—221no—
1317#121—221no—
1318#121—221no—
1319#121C22×D1111yescharacteristic
1320#121C22×D1111yescharacteristic
1321#120—221no—
1322#120—221no—
1323#120—221no—
1324#120—221no—
1325#120—221no—
1326#120—221no—
1327#120—221no—
1328#120—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—
1337#117—111no—
1338#117—111no—
1339#117—111no—
1340#117—111no—
1341#117—111no—
1342#117—111no—
1343#117—111no—
1344#117—221no—
1345#117—221no—
1346#117—221no—
1347#117—221no—
1348#117C22×D1111yescharacteristic
1349C2×C4⋊C4—111no—
1350C2×C4⋊C4—111no—
1351C2×C4⋊C4—111no—
1352C2×C4⋊C4—221no—
1353C2×C4⋊C4—221no—
1354C2×C4⋊C4—221no—
1355C2×C4⋊C4—221no—
1356C2×C4⋊C4C22×D1111yescharacteristic
1357C2×C22⋊C4—221no—
1358C2×C22⋊C4—221no—
1359C2×C22⋊C4—221no—
1360C2×C22⋊C4—221no—
1361C2×C22⋊C4—221no—
1362C2×C22⋊C4—221no—
1363C2×C42—221no—
1364C2×C42—221no—
1365#107—111no—
1366#107—111no—
1367#107—111no—
1368#107—111no—
1369#107—111no—
1370#107—111no—
1371#107C22×D1111yescharacteristic
1372#107C22×D1111yescharacteristic
1373#106—111no—
1374#106—111no—
1375#106—111no—
1376#106—111no—
1377#106—111no—
1378#106—111no—
1379#106C22×D1111yescharacteristic
1380#106C22×D1111yescharacteristic
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#103—111no—
1394#103—111no—
1395#103—111no—
1396#103—111no—
1397#103—111no—
1398#103—111no—
1399#103C22×D1111yescharacteristic
1400#103C22×D1111yescharacteristic
1401#103C22×D1111yescharacteristic
1402#103C22×D1111yescharacteristic
1403#103C22×D1111yescharacteristic
1404#103C22×D1111yescharacteristic
1405#102—111no—
1406#102—111no—
1407#102—111no—
1408#102—111no—
1409#102—111no—
1410#102—111no—
1411#102C22×D1111yescharacteristic
1412#102C22×D1111yescharacteristic
1413C22⋊C8—111no—
1414C22⋊C8—111no—
1415C22⋊C8—111no—
1416C22⋊C8—111no—
1417C22⋊C8—111no—
1418C22⋊C8—111no—
1419C22⋊C8—111no—
1420C22⋊C8—111no—
1421C22⋊C8—111no—
1422C22⋊C8—111no—
1423C22⋊C8—111no—
1424C22⋊C8—111no—
1425C22⋊C8C22×D1111yescharacteristic
1426C22⋊C8C22×D1111yescharacteristic
1427C22⋊C8C22×D1111yescharacteristic
1428C22⋊C8C22×D1111yescharacteristic
1429C2×C11—41no—
1430C2×C11—41no—
1431C2×C11—41no—
1432C2×C11—81no—
1433C2×C11C2×#53411yescharacteristic
1434C2×C11#358611yescharacteristic
1435C2×C11#358611yescharacteristic
1436D11—22no—
1437D11—41no—
1438D11—41no—
1439D11—41no—
1440D11—81no—
1441C24—111no—
1442C24—111no—
1443C24—111no—
1444C24—221no—
1445#41—41no—
1446#41—41no—
1447#41—41no—
1448#41—41no—
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—441no—
1458#41—441no—
1459#41—441no—
1460#41—441no—
1461#41—444no—
1462#41—442no—
1463#41—442no—
1464#41—442no—
1465#41—442no—
1466#41—444no—
1467C2×Q8—21no—
1468C2×Q8—41no—
1469C2×Q8—41no—
1470C2×Q8—111no—
1471C2×Q8—111no—
1472C2×Q8—111no—
1473C2×Q8—111no—
1474C2×Q8—111no—
1475C2×Q8—111no—
1476C2×Q8—221no—
1477C2×Q8—221no—
1478C2×Q8—221no—
1479C2×Q8—221no—
1480C2×Q8—221no—
1481C2×Q8—222no—
1482C2×Q8—222no—
1483C2×Q8—222no—
1484C2×Q8—222no—
1485C2×Q8—221no—
1486C2×Q8—441no—
1487C2×Q8—441no—
1488C2×Q8—444no—
1489C2×Q8—442no—
1490C2×Q8—441no—
1491C2×Q8—441no—
1492C2×Q8—441no—
1493C2×Q8—441no—
1494C2×Q8—441no—
1495C2×Q8—441no—
1496C2×Q8—444no—
1497C2×Q8—444no—
1498C2×Q8D4×D1111yescharacteristic
1499C2×Q8C23×D1111yescharacteristic
1500C2×Q8C23×D1111yescharacteristic
1501C2×Q8C23×D1111yescharacteristic
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—111no—
1506C2×D4—111no—
1507C2×D4—111no—
1508C2×D4—111no—
1509C2×D4—111no—
1510C2×D4—111no—
1511C2×D4—111no—
1512C2×D4—111no—
1513C2×D4—111no—
1514C2×D4—111no—
1515C2×D4—221no—
1516C2×D4—221no—
1517C2×D4—221no—
1518C2×D4—221no—
1519C2×D4—221no—
1520C2×D4—221no—
1521C2×D4—221no—
1522C2×D4—221no—
1523C2×D4—221no—
1524C2×D4—221no—
1525C2×D4—441no—
1526C2×D4—441no—
1527C2×D4—442no—
1528C2×D4—442no—
1529C2×D4—442no—
1530C2×D4—444no—
1531C2×D4D4×D1111yescharacteristic
1532C2×D4D4×D1111yescharacteristic
1533C2×D4D4×D1111yescharacteristic
1534C2×D4C23×D1111yescharacteristic
1535C22×C4—21no—
1536C22×C4—21no—
1537C22×C4—21no—
1538C22×C4—111no—
1539C22×C4—111no—
1540C22×C4—111no—
1541C22×C4—111no—
1542C22×C4—111no—
1543C22×C4—111no—
1544C22×C4—111no—
1545C22×C4—111no—
1546C22×C4—111no—
1547C22×C4—111no—
1548C22×C4—111no—
1549C22×C4—111no—
1550C22×C4—111no—
1551C22×C4—222no—
1552C22×C4—222no—
1553C22×C4—222no—
1554C22×C4—222no—
1555C22×C4—222no—
1556C22×C4—222no—
1557C22×C4—221no—
1558C22×C4—221no—
1559C22×C4—221no—
1560C22×C4—221no—
1561C22×C4—221no—
1562C22×C4—221no—
1563C22×C4—221no—
1564C22×C4—221no—
1565C22×C4—221no—
1566C22×C4—221no—
1567C22×C4—221no—
1568C22×C4—221no—
1569C22×C4—444no—
1570C22×C4—444no—
1571C22×C4C23×D1111yescharacteristic
1572C22×C4C23×D1111yescharacteristic
1573C22×C4C23×D1111yescharacteristic
1574Q16—41no—
1575Q16—41no—
1576Q16—441no—
1577Q16—441no—
1578Q16—441no—
1579Q16—441no—
1580Q16—441no—
1581Q16—441no—
1582SD16—41no—
1583SD16—41no—
1584SD16—441no—
1585SD16—441no—
1586SD16—441no—
1587SD16—441no—
1588SD16—441no—
1589SD16—441no—
1590M16—41no—
1591M16—222no—
1592M16—222no—
1593M16—222no—
1594M16—222no—
1595M16—441no—
1596M16—441no—
1597M16—441no—
1598C2×C8—41no—
1599C2×C8—111no—
1600C2×C8—111no—
1601C2×C8—111no—
1602C2×C8—111no—
1603C2×C8—441no—
1604C2×C8—441no—
1605C2×C8—441no—
1606C2×C8C23×D1111yescharacteristic
1607C2×C8C23×D1111yescharacteristic
1608C2×C8C23×D1111yescharacteristic
1609C2×C8C23×D1111yescharacteristic
1610C4⋊C4—21no—
1611C4⋊C4—21no—
1612C4⋊C4—21no—
1613C4⋊C4—21no—
1614C4⋊C4—21no—
1615C4⋊C4—21no—
1616C4⋊C4—21no—
1617C4⋊C4—111no—
1618C4⋊C4—111no—
1619C4⋊C4—111no—
1620C4⋊C4—111no—
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⋊C4—221no—
1637C4⋊C4—221no—
1638C4⋊C4—221no—
1639C4⋊C4—221no—
1640C4⋊C4—221no—
1641C4⋊C4—221no—
1642C4⋊C4C23×D1111yescharacteristic
1643C4⋊C4C23×D1111yescharacteristic
1644C4⋊C4C23×D1111yescharacteristic
1645C4⋊C4C23×D1111yescharacteristic
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—21no—
1652C22⋊C4—21no—
1653C22⋊C4—21no—
1654C22⋊C4—21no—
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—
1679C22⋊C4—221no—
1680C22⋊C4—221no—
1681C22⋊C4—221no—
1682C22⋊C4—221no—
1683C22⋊C4—221no—
1684C22⋊C4—221no—
1685C22⋊C4—221no—
1686C42—21no—
1687C42—221no—
1688C42—221no—
1689C42—221no—
1690C42—221no—
1691C42—221no—
1692C42—221no—
1693C42—221no—
1694C11#6075411yescharacteristic, complemented, Sylow
1695C23—21no—
1696C23—111no—
1697C23—111no—
1698C23—111no—
1699C23—111no—
1700C23—222no—
1701C23—222no—
1702C23—222no—
1703C23—221no—
1704C23—441no—
1705C23—441no—
1706C23—441no—
1707C23—441no—
1708C23—441no—
1709C23—441no—
1710C23—442no—
1711C23—881no—
1712C23—881no—
1713C23C2×D4×D1111yescharacteristic
1714C23C2×D4×D1111yescharacteristic
1715C23C2×D4×D1111yescharacteristic
1716Q8—21no—
1717Q8—21no—
1718Q8—21no—
1719Q8—21no—
1720Q8—21no—
1721Q8—21no—
1722Q8—41no—
1723Q8—42no—
1724Q8—221no—
1725Q8—221no—
1726Q8—221no—
1727Q8—221no—
1728Q8—221no—
1729Q8—221no—
1730Q8—441no—
1731Q8—441no—
1732Q8—441no—
1733Q8—442no—
1734Q8—442no—
1735Q8—442no—
1736Q8—442no—
1737Q8—442no—
1738Q8—442no—
1739D4—21no—
1740D4—21no—
1741D4—41no—
1742D4—41no—
1743D4—41no—
1744D4—42no—
1745D4—81no—
1746D4—81no—
1747D4—221no—
1748D4—221no—
1749D4—441no—
1750D4—441no—
1751D4—441no—
1752D4—442no—
1753D4—441no—
1754D4—441no—
1755D4—441no—
1756D4—441no—
1757D4—441no—
1758D4—441no—
1759D4—442no—
1760D4—442no—
1761D4—442no—
1762D4—881no—
1763D4—881no—
1764D4—881no—
1765D4—881no—
1766D4—881no—
1767D4—881no—
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—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—42no—
1782C2×C4—42no—
1783C2×C4—81no—
1784C2×C4—111no—
1785C2×C4—112no—
1786C2×C4—112no—
1787C2×C4—111no—
1788C2×C4—111no—
1789C2×C4—111no—
1790C2×C4—222no—
1791C2×C4—222no—
1792C2×C4—222no—
1793C2×C4—222no—
1794C2×C4—222no—
1795C2×C4—222no—
1796C2×C4—222no—
1797C2×C4—222no—
1798C2×C4—222no—
1799C2×C4—221no—
1800C2×C4—221no—
1801C2×C4—221no—
1802C2×C4—221no—
1803C2×C4—221no—
1804C2×C4—221no—
1805C2×C4—221no—
1806C2×C4—221no—
1807C2×C4—221no—
1808C2×C4—221no—
1809C2×C4—221no—
1810C2×C4—221no—
1811C2×C4—221no—
1812C2×C4—442no—
1813C2×C4—442no—
1814C2×C4—442no—
1815C2×C4—442no—
1816C2×C4—442no—
1817C2×C4—442no—
1818C2×C4—442no—
1819C2×C4—442no—
1820C2×C4—442no—
1821C2×C4—442no—
1822C2×C4—442no—
1823C2×C4—881no—
1824C2×C4C2×D4×D1111yescharacteristic
1825C2×C4C2×D4×D1111yescharacteristic
1826C2×C4C2×D4×D1111yescharacteristic
1827C2×C4C24×D1111yescharacteristic
1828C8—21no—
1829C8—21no—
1830C8—21no—
1831C8—21no—
1832C8—221no—
1833C8—221no—
1834C8—221no—
1835C8—221no—
1836C22—21no—
1837C22—21no—
1838C22—21no—
1839C22—21no—
1840C22—21no—
1841C22—21no—
1842C22—21no—
1843C22—21no—
1844C22—21no—
1845C22—41no—
1846C22—41no—
1847C22—41no—
1848C22—112no—
1849C22—221no—
1850C22—221no—
1851C22—221no—
1852C22—221no—
1853C22—221no—
1854C22—221no—
1855C22—221no—
1856C22—221no—
1857C22—221no—
1858C22—221no—
1859C22—221no—
1860C22—444no—
1861C22—441no—
1862C22—441no—
1863C22—441no—
1864C22—882no—
1865C22—882no—
1866C22—884no—
1867C22C22×D4×D1111yescharacteristic
1868C4—21no—
1869C4—21no—
1870C4—21no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—41no—
1876C4—41no—
1877C4—41no—
1878C4—112no—
1879C4—221no—
1880C4—221no—
1881C4—221no—
1882C4—441no—
1883C4—441no—
1884C4—441no—
1885C4—441no—
1886C4—441no—
1887C4—441no—
1888C4—441no—
1889C4D11×H(5,𝔽2)11yescharacteristic
1890C4D11×H(5,𝔽2)11yescharacteristic
1891C2—41no—
1892C2—41no—
1893C2—41no—
1894C2—81no—
1895C2—222no—
1896C2—441no—
1897C2—441no—
1898C2—441no—
1899C2—881no—
1900C2D11×#53411yescharacteristic
1901C2#1308339811yescharacteristic
1902C2#1308340111yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3201C2
socleC22×C11C23×D4
prime radical#13081944C2
hypercenter#3201D11
hypocenterC11#60754
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3201

Complements

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

NH ≅ G/Ntype
2. D11×#536C2semidirect
3. #13079510C2semidirect
4. #13079509C2semidirect
5. #13079508C2semidirect
6. #13079506C2semidirect
7. #13079505C2semidirect
8. #13079503C2semidirect
9. #13079500C2semidirect
10. #13079498C2semidirect
11. #13079497C2semidirect
12. #13079495C2semidirect
13. #13079492C2semidirect
14. #13079490C2semidirect
15. #13079486C2semidirect
16. #13079484C2semidirect
17. #13079482C2semidirect
18. #13078561C2semidirect
19. #13078559C2semidirect
20. #13078548C2semidirect
21. #13078544C2semidirect
22. #13078245C2semidirect
23. #13078243C2semidirect
24. #13078241C2semidirect
25. #13078239C2semidirect
26. #13077873C2semidirect
27. #13077873C2semidirect
28. #13077851C2semidirect
29. #13077847C2semidirect
30. #13077058C2semidirect
31. C11×#3201C2semidirect
34. C22×Q8×D11C22semidirect
36. C11×#536C22semidirect
39. #10623356C22semidirect
45. C2×M16×D11C22semidirect
46. C22×#4313C22semidirect
60. #10623159C22semidirect
61. #10623159C22semidirect
67. D11×C22⋊Q8C22semidirect
68. D11×C22⋊Q8C22semidirect
80. D11×#117C22semidirect
83. C11×#485C22semidirect
84. C11×#484C22semidirect
85. C11×#483C22semidirect
86. C11×#482C22semidirect
87. C11×#470C22semidirect
88. C11×#468C22semidirect
89. C11×#467C22semidirect
90. C11×#465C22semidirect
91. C11×#452C22semidirect
92. C11×#452C22semidirect
93. C11×#451C22semidirect
94. C11×#448C22semidirect
95. C11×#408C22semidirect
96. #10622852C22semidirect
97. #10622852C22semidirect
98. #10622847C22semidirect
99. #10622841C22semidirect
100. #10622840C22semidirect
101. #10622802C22semidirect
102. #10622801C22semidirect
103. #10622799C22semidirect
104. #10622799C22semidirect
105. #10622799C22semidirect
106. #10622799C22semidirect
107. #10622787C22semidirect
108. #10622784C22semidirect
109. #10622783C22semidirect
110. #10622783C22semidirect
111. #10622782C22semidirect
112. #10622782C22semidirect
113. #10622750C22semidirect
114. #10622747C22semidirect
116. #10622729C22semidirect
117. #10622727C22semidirect
119. #10622665C22semidirect
120. #10622665C22semidirect
121. #10622664C22semidirect
122. #10622664C22semidirect
123. #10622663C22semidirect
124. #10622662C22semidirect
125. #10622661C22semidirect
126. #10622660C22semidirect
127. #10622660C22semidirect
128. #10622658C22semidirect
129. #10622657C22semidirect
130. #10622656C22semidirect
131. #10622655C22semidirect
132. #10622654C22semidirect
133. #10622653C22semidirect
134. #10622648C22semidirect
135. #10622616C22semidirect
136. #10622609C22semidirect
137. #10622584C22semidirect
138. #10622583C22semidirect
139. #10622501C22semidirect
140. #10622501C22semidirect
141. #10622501C22semidirect
142. #10622500C22semidirect
143. #10622499C22semidirect
144. #10622498C22semidirect
145. #10622494C22semidirect
146. #10622494C22semidirect
147. #10622481C22semidirect
148. #10622480C22semidirect
149. #10622480C22semidirect
150. #10622480C22semidirect
151. #10622479C22semidirect
152. #10622477C22semidirect
153. #10622474C22semidirect
154. #10622474C22semidirect
155. #10622429C22semidirect
156. #10622429C22semidirect
157. #10622428C22semidirect
158. #10622428C22semidirect
159. #10622428C22semidirect
160. #10622427C22semidirect
161. #10622427C22semidirect
162. #10622427C22semidirect
163. #10622426C22semidirect
164. #10622426C22semidirect
165. #10622425C22semidirect
166. #10622421C22semidirect
167. #10622421C22semidirect
168. #10622421C22semidirect
169. #10622421C22semidirect
170. #10622420C22semidirect
171. #10622419C22semidirect
172. #10622419C22semidirect
175. #10622415C22semidirect
176. #10622415C22semidirect
177. #10622415C22semidirect
178. #10622415C22semidirect
179. #10622397C22semidirect
180. #10622393C22semidirect
181. #10622392C22semidirect
182. #10622391C22semidirect
183. #10622389C22semidirect
184. #10622389C22semidirect
187. #10622352C22semidirect
188. #10622351C22semidirect
189. #10622350C22semidirect
190. #10622346C22semidirect
191. #10622346C22semidirect
194. #10622340C22semidirect
195. #10622340C22semidirect
198. #10622339C22semidirect
199. #10622339C22semidirect
200. #10622336C22semidirect
201. #10622335C22semidirect
202. #10622334C22semidirect
757. #3201D11semidirect
943. #536C2×D11semidirect
982. #485C2×D11semidirect
986. #484C2×D11semidirect
990. #483C2×D11semidirect
998. #482C2×D11semidirect
1006. #470C2×D11semidirect
1014. #468C2×D11semidirect
1022. #467C2×D11semidirect
1030. #465C2×D11semidirect
1037. #452C2×D11semidirect
1038. #452C2×D11semidirect
1050. #451C2×D11semidirect
1062. #448C2×D11semidirect
1082. #408C2×D11semidirect
1694. C11#60754semidirect

Maximal subgroups

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

subgroupindex
#130819442
D11×#5362
#130795102
#130795092
#130795082
#130795062
#130795052
#130795032
#130795002
#130794982
#130794972
#130794952
#130794922
#130794902
#130794862
#130794842
#130794822
#130785612
#130785592
#130785482
#130785442
#130782452
#130782432
#130782412
#130782392
#130778732
#130778512
#130778472
#130770582
C11×#32012
#6075411