Finite Group Databasebeta

← #15624731

Subgroups — #15624731

Order 2816.

2182 conjugacy classes of subgroups.

The subgroup lattice has 1934 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082291C211yesmaximal, characteristic, complemented
2D11×#537C211yesmaximal, characteristic, complemented
3#13079529C211yesmaximal, characteristic, complemented
4#13079525C211yesmaximal, characteristic, complemented
5#13079522C211yesmaximal, characteristic, complemented
6#13079505C211yesmaximal, characteristic, complemented
7#13079500C211yesmaximal, characteristic, complemented
8#13079497C211yesmaximal, characteristic, complemented
9#13079492C211yesmaximal, characteristic, complemented
10#13079439C211yesmaximal, characteristic, complemented
11#13079436C211yesmaximal, characteristic, complemented
12#13079428C211yesmaximal, characteristic, complemented
13#13079425C211yesmaximal, characteristic, complemented
14#13079395C211yesmaximal, characteristic, complemented
15#13079392C211yesmaximal, characteristic, complemented
16#13079375C211yesmaximal, characteristic, complemented
17#13079368C211yesmaximal, characteristic, complemented
18#13078606C211yesmaximal, characteristic, complemented
19#13078600C211yesmaximal, characteristic, complemented
20#13078538C211yesmaximal, characteristic, complemented
21D11×#483C211yesmaximal, characteristic, complemented
22#13078304C211yesmaximal, characteristic, complemented
23#13078300C211yesmaximal, characteristic, complemented
24#13078276C211yesmaximal, characteristic, complemented
25#13078273C211yesmaximal, characteristic, complemented
26#13077935C211yesmaximal, characteristic, complemented
27#13077929C211yesmaximal, characteristic, complemented
28#13077873C211yesmaximal, characteristic, complemented
29#13077831C211yesmaximal, characteristic, complemented
30#13077064C211yesmaximal, characteristic, complemented
31C11×#3204C211yesmaximal, characteristic, complemented
32C2×#67043C2211yescharacteristic, complemented
33C2×#41×D11C2211yescharacteristic
34C2×#41×D11C2211yescharacteristic
35C11×#537C2211yescharacteristic
36C11×#537C2211yescharacteristic, complemented
37#10623364C2211yescharacteristic
38#10623364C2211yescharacteristic
39#10623359C2211yescharacteristic
40#10623356C2211yescharacteristic, complemented
41C2×#66971C2211yescharacteristic, complemented
42C2×#66969C2211yescharacteristic, complemented
43C2×#66968C2211yescharacteristic, complemented
44C2×#66965C2211yescharacteristic, complemented
45C2×#66960C2211yescharacteristic, complemented
46C2×#66954C2211yescharacteristic, complemented
47#10623163—21no—
48#10623162—21no—
49#10623160—21no—
50#10623160C2211yescharacteristic
51#10623160C2211yescharacteristic
52#10623159C2211yescharacteristic, complemented
53#10623159C2211yescharacteristic, complemented
54D11×C22⋊Q8—21no—
55D11×C22⋊Q8C2211yescharacteristic
56D11×C22⋊Q8C2211yescharacteristic
57D11×C22⋊Q8C2211yescharacteristic
58D11×C22⋊Q8C2211yescharacteristic
59#10623143—21no—
60#10623142—21no—
61#10623142—21no—
62#10623141—21no—
63#10623141—21no—
64#10623139—21no—
65#10623139C2211yescharacteristic
66#10623139C2211yescharacteristic
67#10623139C2211yescharacteristic, complemented
68#10623139C2211yescharacteristic, complemented
69#10623137C2211yescharacteristic
70#10623137C2211yescharacteristic
71D11×#121—21no—
72D11×#121—21no—
73D11×#121—21no—
74D11×#121C2211yescharacteristic
75D11×#121C2211yescharacteristic
76#10623129—21no—
77#10623128—21no—
78#10623128—21no—
79#10623041C2211yescharacteristic
80C2×#66950C2211yescharacteristic
81#10623035C2211yescharacteristic, complemented
82C2×C4⋊C4×D11C2211yescharacteristic
83C11×#483C2211yescharacteristic, complemented
84C11×#483C2211yescharacteristic, complemented
85C11×#481C2211yescharacteristic, complemented
86C11×#481C2211yescharacteristic, complemented
87C11×#470C2211yescharacteristic, complemented
88C11×#469C2211yescharacteristic, complemented
89C11×#465C2211yescharacteristic, complemented
90C11×#465C2211yescharacteristic, complemented
91C11×#452C2211yescharacteristic, complemented
92C11×#452C2211yescharacteristic, complemented
93C11×#449C2211yescharacteristic, complemented
94C11×#449C2211yescharacteristic, complemented
95C11×#408C2211yescharacteristic, complemented
96#10622852C2211yescharacteristic, complemented
97#10622852C2211yescharacteristic, complemented
98#10622852C2211yescharacteristic, complemented
99#10622851C2211yescharacteristic, complemented
100#10622847C2211yescharacteristic, complemented
101#10622801C2211yescharacteristic, complemented
102#10622799C2211yescharacteristic
103#10622799C2211yescharacteristic, complemented
104#10622787C2211yescharacteristic, complemented
105#10622786C2211yescharacteristic, complemented
106#10622784C2211yescharacteristic, complemented
107#10622783C2211yescharacteristic
108#10622783C2211yescharacteristic, complemented
109#10622782C2211yescharacteristic
110#10622772C2211yescharacteristic, complemented
111#10622771C2211yescharacteristic, complemented
112#10622769C2211yescharacteristic
113#10622750C2211yescharacteristic, complemented
114#10622747C2211yescharacteristic, complemented
115#10622739C2211yescharacteristic
116#10622729C2211yescharacteristic, complemented
117#10622727C2211yescharacteristic, complemented
118C2×(C2×D11)⋊C8C2211yescharacteristic
119#10622665C2211yescharacteristic, complemented
120#10622665C2211yescharacteristic, complemented
121#10622664C2211yescharacteristic, complemented
122#10622663C2211yescharacteristic, complemented
123#10622661C2211yescharacteristic, complemented
124#10622660C2211yescharacteristic, complemented
125#10622658C2211yescharacteristic, complemented
126#10622656C2211yescharacteristic, complemented
127#10622655C2211yescharacteristic, complemented
128#10622654C2211yescharacteristic, complemented
129#10622654C2211yescharacteristic, complemented
130#10622653C2211yescharacteristic, complemented
131#10622652C2211yescharacteristic, complemented
132#10622650C2211yescharacteristic, complemented
133#10622648C2211yescharacteristic, complemented
134#10622647C2211yescharacteristic, complemented
135#10622584C2211yescharacteristic, complemented
136#10622584C2211yescharacteristic, complemented
137#10622583C2211yescharacteristic, complemented
138#10622581C2211yescharacteristic, complemented
139#10622481C2211yescharacteristic, complemented
140#10622481C2211yescharacteristic, complemented
141#10622480C2211yescharacteristic, complemented
142#10622479C2211yescharacteristic, complemented
143#10622477C2211yescharacteristic, complemented
144#10622477C2211yescharacteristic, complemented
145#10622476C2211yescharacteristic, complemented
146#10622475C2211yescharacteristic
147#10622475C2211yescharacteristic
148#10622475C2211yescharacteristic
149#10622475C2211yescharacteristic
150#10622475C2211yescharacteristic, complemented
151#10622474C2211yescharacteristic, complemented
152#10622474C2211yescharacteristic, complemented
153D11×#106C2211yescharacteristic, complemented
154D11×#106C2211yescharacteristic, complemented
155#10622429C2211yescharacteristic, complemented
156#10622429C2211yescharacteristic, complemented
157#10622427C2211yescharacteristic, complemented
158#10622426C2211yescharacteristic, complemented
159#10622425C2211yescharacteristic, complemented
160#10622421C2211yescharacteristic
161#10622421C2211yescharacteristic
162#10622421C2211yescharacteristic, complemented
163#10622419C2211yescharacteristic, complemented
164#10622418C2211yescharacteristic
165#10622418C2211yescharacteristic
166#10622418C2211yescharacteristic, complemented
167#10622417C2211yescharacteristic, complemented
168#10622416C2211yescharacteristic, complemented
169D11×#103C2211yescharacteristic, complemented
170D11×#103C2211yescharacteristic, complemented
171#10622397C2211yescharacteristic, complemented
172#10622396C2211yescharacteristic, complemented
173#10622395C2211yescharacteristic, complemented
174#10622394C2211yescharacteristic, complemented
175#10622391C2211yescharacteristic, complemented
176#10622391C2211yescharacteristic, complemented
177#10622391C2211yescharacteristic, complemented
178#10622390C2211yescharacteristic, complemented
179#10622389C2211yescharacteristic
180#10622389C2211yescharacteristic
181#10622387C2211yescharacteristic
182#10622387C2211yescharacteristic
183#10622385C2211yescharacteristic, complemented
184#10622384C2211yescharacteristic, complemented
185#10622384C2211yescharacteristic, complemented
186#10622384C2211yescharacteristic, complemented
187#10622352C2211yescharacteristic, complemented
188#10622351C2211yescharacteristic, complemented
189#10622350C2211yescharacteristic, complemented
190#10622346C2211yescharacteristic, complemented
191#10622346C2211yescharacteristic, complemented
192#10622340C2211yescharacteristic, complemented
193#10622340C2211yescharacteristic, complemented
194#10622340C2211yescharacteristic, complemented
195#10622340C2211yescharacteristic, complemented
196#10622339C2211yescharacteristic
197#10622339C2211yescharacteristic
198D11×C22⋊C8C2211yescharacteristic
199D11×C22⋊C8C2211yescharacteristic
200#10622336C2211yescharacteristic, complemented
201#10622335C2211yescharacteristic, complemented
202#10622334C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C2×C11×#41C2311yescharacteristic
205C2×C11×#41C2311yescharacteristic
206#67043—42no—
207#67043—42no—
208#41×D11—42no—
209#41×D11—42no—
210#41×D11—42no—
211#41×D11—42no—
212C2×#4343D411yescharacteristic
213C2×#4343C2311yescharacteristic
214C2×Q8×D11D411yescharacteristic
215C2×Q8×D11C2311yescharacteristic
216C2×Q8×D11C2311yescharacteristic
217C2×Q8×D11C2311yescharacteristic
218C2×#4341—21no—
219C2×#4341—21no—
220C2×#4341—21no—
221C2×#4341D411yescharacteristic
222C2×#4341D411yescharacteristic
223C2×#4341D411yescharacteristic
224C2×#4341C2311yescharacteristic
225C2×#4341C2311yescharacteristic
226C2×#4341C2311yescharacteristic
227C2×D4×D11—21no—
228C2×D4×D11—21no—
229C2×D4×D11—21no—
230C2×D4×D11D411yescharacteristic
231C2×D4×D11D411yescharacteristic
232C2×D4×D11D411yescharacteristic
233C2×D4×D11C2311yescharacteristic
234C2×#4339—21no—
235C2×#4339—21no—
236C2×#4339C2311yescharacteristic
237C2×#4339C2311yescharacteristic
238C2×#4339C2311yescharacteristic
239C2×#4339C2311yescharacteristic
240C22×C4×D11—21no—
241C22×C4×D11—21no—
242C22×C4×D11C2311yescharacteristic
243C22×C4×D11C2311yescharacteristic
244C22×C4×D11C2311yescharacteristic
245C22×Dic22—21no—
246C22×Dic22C2311yescharacteristic
247C2×C11×Q16C2311yescharacteristic
248C2×C11×SD16C2311yescharacteristic
249C2×C11×SD16C2311yescharacteristic
250C2×C11×D8C2311yescharacteristic
251C2×C11×M16C2311yescharacteristic
252C22×C8×C11C2311yescharacteristic
253C11×C22⋊Q8—21no—
254C11×C22⋊Q8—21no—
255C11×C22⋊Q8C2311yescharacteristic
256C11×C22⋊Q8C2311yescharacteristic
257C11×C22⋊Q8C2311yescharacteristic
258C11×C22⋊Q8C2311yescharacteristic
259C11×#121—21no—
260C11×#121—21no—
261C11×#121—21no—
262C11×#121—21no—
263C11×#121—21no—
264C11×#121—21no—
265C11×#121C2311yescharacteristic
266C11×#121C2311yescharacteristic
267C11×#121C2311yescharacteristic
268C11×#121C2311yescharacteristic
269C2×C11×C4⋊C4C2311yescharacteristic
270C2×C11×C4⋊C4C2311yescharacteristic
271#66999—21no—
272#66999C2311yescharacteristic
273#66999C2311yescharacteristic
274#66999C2311yescharacteristic
275#66999C2311yescharacteristic
276#66997—21no—
277C2×#4326C2311yescharacteristic
278C2×#4326C2311yescharacteristic
279C2×#4326C2311yescharacteristic
280C2×#4325C2311yescharacteristic
281#66992—21no—
282#66992—21no—
283#66992—21no—
284#66992—21no—
285#66992—21no—
286#66992—21no—
287#66992—21no—
288#66992—21no—
289#66992—21no—
290#66992—21no—
291#66991—21no—
292#66991—21no—
293#66991—21no—
294#66991—21no—
295#66991—21no—
296#66991C2311yescharacteristic
297#66991C2311yescharacteristic
298#66991C2311yescharacteristic
299#66991C2311yescharacteristic
300#66990—21no—
301#66990—21no—
302#66990—21no—
303#66989—21no—
304#66988—21no—
305#66988—21no—
306#66988—21no—
307D4×Dic11—21no—
308D4×Dic11—21no—
309C2×#4324C2311yescharacteristic
310C2×#4324C2311yescharacteristic
311C2×#4324C2311yescharacteristic
312C2×#4323C2311yescharacteristic
313#66983—21no—
314#66983—21no—
315#66983—21no—
316#66983C2311yescharacteristic
317#66983C2311yescharacteristic
318C4×C22⋊D11—21no—
319C4×C22⋊D11—21no—
320C4×C22⋊D11—21no—
321C4×C22⋊D11—21no—
322C2×(C2×D11)⋊C4—21no—
323#66979C2311yescharacteristic
324C2×C4⋊Dic11—21no—
325C2×C4⋊Dic11C2311yescharacteristic
326#66977—21no—
327#66977C2311yescharacteristic
328#66977C2311yescharacteristic
329#66977C2311yescharacteristic
330#66977C2311yescharacteristic
331#66977C2311yescharacteristic
332#66977C2311yescharacteristic
333C2×Dic11⋊C4—21no—
334C2×#4318C2311yescharacteristic
335C22×C11⋊C8C2311yescharacteristic
336#66971—42no—
337#66969—42no—
338#66968—42no—
339#66965—42no—
340#66960—42no—
341C2×Dic44C2311yescharacteristic
342C2×Dic44C2311yescharacteristic
343C2×#4314C2311yescharacteristic
344C2×#4314C2311yescharacteristic
345#66954—42no—
346C2×#4313C2311yescharacteristic
347C2×#4313C2311yescharacteristic
348C2×#4313C2311yescharacteristic
349C2×#4313C2311yescharacteristic
350C2×C8×D11C2311yescharacteristic
351C2×C8×D11C2311yescharacteristic
352C2×C8×D11C2311yescharacteristic
353C2×C8×D11C2311yescharacteristic
354#66950—21no—
355#66950—21no—
356#66950—21no—
357#66950C2311yescharacteristic
358#66950C2311yescharacteristic
359#66950C2311yescharacteristic
360#66950C2311yescharacteristic
361#66950C2311yescharacteristic
362#66950C2311yescharacteristic
363#66949—21no—
364#66949—21no—
365#66949—21no—
366#66949—21no—
367#66949—21no—
368#66949—21no—
369#66948—21no—
370#66948—21no—
371#66948—21no—
372#66948C2311yescharacteristic
373#66948C2311yescharacteristic
374#66947—21no—
375#66947—21no—
376#66946—21no—
377#66945C2311yescharacteristic
378#66945C2311yescharacteristic
379C4⋊C4×D11—21no—
380C4⋊C4×D11—21no—
381C4⋊C4×D11—21no—
382C4⋊C4×D11—21no—
383C4⋊C4×D11—21no—
384C4⋊C4×D11—21no—
385C4⋊C4×D11C2311yescharacteristic
386C4⋊C4×D11C2311yescharacteristic
387C4⋊C4×D11C2311yescharacteristic
388C4⋊C4×D11C2311yescharacteristic
389C4⋊C4×D11C2311yescharacteristic
390C4⋊C4×D11C2311yescharacteristic
391#66941—21no—
392#66941—21no—
393#66940—21no—
394#66938—21no—
395#66938—21no—
396#66937—21no—
397#66937—21no—
398#66937—21no—
399#66937—21no—
400#66937—21no—
401#66937—21no—
402#66937—21no—
403#66937—21no—
404#66937—21no—
405#66937—21no—
406#66936—21no—
407#66936—21no—
408#66936—21no—
409#66936—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—
417C22⋊C4×D11—21no—
418#66931—21no—
419#66931—21no—
420#66931—21no—
421#66931—21no—
422#66931—21no—
423#66931—21no—
424#66931—21no—
425#66931—21no—
426C11×#106C2311yescharacteristic
427C11×#106C2311yescharacteristic
428C11×#106C2311yescharacteristic
429C11×#106C2311yescharacteristic
430C11×#103C2311yescharacteristic
431C11×#103C2311yescharacteristic
432C11×#103C2311yescharacteristic
433C11×#103C2311yescharacteristic
434C11×#102C2311yescharacteristic
435C11×#102C2311yescharacteristic
436C11×#102C2311yescharacteristic
437C11×#102C2311yescharacteristic
438C11×C22⋊C8C2311yescharacteristic
439C11×C22⋊C8C2311yescharacteristic
440C11×C22⋊C8C2311yescharacteristic
441C11×C22⋊C8C2311yescharacteristic
442#66899C2311yescharacteristic
443#66899C2311yescharacteristic
444#66899C2311yescharacteristic
445#66899C2311yescharacteristic
446#66896C2311yescharacteristic
447#66896C2311yescharacteristic
448#66896C2311yescharacteristic
449#66896C2311yescharacteristic
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#66872C2311yescharacteristic
487#66872C2311yescharacteristic
488#66871C2311yescharacteristic
489#66871C2311yescharacteristic
490#60763—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—
499C11×#41—41no—
500C11×#41—41no—
501C2×Q8×C11C2×D411yescharacteristic
502C2×Q8×C11C2411yescharacteristic
503C2×Q8×C11C2411yescharacteristic
504C2×D4×C11—21no—
505C2×D4×C11—21no—
506C2×D4×C11—21no—
507C2×D4×C11—21no—
508C2×D4×C11—21no—
509C2×D4×C11—21no—
510C2×D4×C11C2×D411yescharacteristic
511C2×D4×C11C2×D411yescharacteristic
512C2×D4×C11C2×D411yescharacteristic
513C2×D4×C11C2411yescharacteristic
514C2×D4×C11C2411yescharacteristic
515C22×C4×C11—21no—
516C22×C4×C11—21no—
517C22×C4×C11—21no—
518C22×C4×C11—21no—
519C22×C4×C11C2411yescharacteristic
520C22×C4×C11C2411yescharacteristic
521C22×C4×C11C2411yescharacteristic
522C2×C22⋊D11—21no—
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⋊D11C2×D411yescharacteristic
534C2×C22⋊D11C2×D411yescharacteristic
535C2×C22⋊D11C2×D411yescharacteristic
536C2×C22⋊D11C2×D411yescharacteristic
537C2×C22⋊D11C2×D411yescharacteristic
538C2×C22⋊D11C2×D411yescharacteristic
539C22×Dic11—21no—
540C22×Dic11—21no—
541C22×Dic11—21no—
542C22×Dic11—21no—
543C22×Dic11—21no—
544C22×Dic11C2×D411yescharacteristic
545C22×Dic11C2×D411yescharacteristic
546C22×Dic11C2×D411yescharacteristic
547#4343—22no—
548#4343—22no—
549#4343—42no—
550Q8×D11—22no—
551Q8×D11—22no—
552Q8×D11—41no—
553Q8×D11—41no—
554Q8×D11—41no—
555Q8×D11—41no—
556Q8×D11—42no—
557#4341—22no—
558#4341—22no—
559#4341—22no—
560#4341—22no—
561#4341—41no—
562#4341—41no—
563#4341—42no—
564#4341—42no—
565#4341—42no—
566#4341—44no—
567#4341—44no—
568#4341—44no—
569D4×D11—41no—
570D4×D11—41no—
571D4×D11—42no—
572D4×D11—42no—
573D4×D11—44no—
574D4×D11—42no—
575D4×D11—82no—
576D4×D11—82no—
577#4339—22no—
578#4339—22no—
579#4339—22no—
580#4339—22no—
581#4339—41no—
582#4339—41no—
583#4339—41no—
584#4339—41no—
585#4339—44no—
586#4339—44no—
587C2×D44—21no—
588C2×D44—21no—
589C2×D44—21no—
590C2×D44C2×D411yescharacteristic
591C2×D44C2×D411yescharacteristic
592C2×D44C2×D411yescharacteristic
593C2×D44C2411yescharacteristic
594C2×C4×D11—22no—
595C2×C4×D11—22no—
596C2×C4×D11—21no—
597C2×C4×D11—21no—
598C2×C4×D11—21no—
599C2×C4×D11—21no—
600C2×C4×D11—21no—
601C2×C4×D11—21no—
602C2×C4×D11—21no—
603C2×C4×D11—21no—
604C2×C4×D11—21no—
605C2×C4×D11—21no—
606C2×C4×D11—21no—
607C2×C4×D11—41no—
608C2×C4×D11—41no—
609C2×C4×D11—41no—
610C2×C4×D11—41no—
611C2×C4×D11—44no—
612C2×C4×D11—82no—
613C2×C4×D11C2×D411yescharacteristic
614C2×C4×D11C2×D411yescharacteristic
615C2×C4×D11C2×D411yescharacteristic
616C2×C4×D11C2×D411yescharacteristic
617C2×C4×D11C2×D411yescharacteristic
618C2×C4×D11C2×D411yescharacteristic
619C2×C4×D11C2411yescharacteristic
620C2×C4×D11C2411yescharacteristic
621C2×C4×D11C2411yescharacteristic
622C2×C4×D11C2411yescharacteristic
623C2×Dic22—21no—
624C2×Dic22—21no—
625C2×Dic22—21no—
626C2×Dic22—21no—
627C2×Dic22—41no—
628C2×Dic22—41no—
629C2×Dic22—44no—
630C2×Dic22C2×D411yescharacteristic
631C2×Dic22C2×D411yescharacteristic
632C2×Dic22C2×D411yescharacteristic
633C2×Dic22C2411yescharacteristic
634C2×Dic22C2411yescharacteristic
635C2×Dic22C2411yescharacteristic
636C11×Q16—41no—
637C11×SD16—41no—
638C11×SD16—41no—
639C11×D8—41no—
640C11×M16—41no—
641C2×C8×C11—41no—
642C2×C8×C11C2411yescharacteristic
643C2×C8×C11C2411yescharacteristic
644C2×C8×C11C2411yescharacteristic
645C2×C8×C11C2411yescharacteristic
646C11×C4⋊C4—21no—
647C11×C4⋊C4—21no—
648C11×C4⋊C4—21no—
649C11×C4⋊C4—21no—
650C11×C4⋊C4—21no—
651C11×C4⋊C4—21no—
652C11×C4⋊C4C2411yescharacteristic
653C11×C4⋊C4C2411yescharacteristic
654C11×C4⋊C4C2411yescharacteristic
655C11×C4⋊C4C2411yescharacteristic
656C11×C22⋊C4—21no—
657C11×C22⋊C4—21no—
658C11×C22⋊C4—21no—
659C11×C22⋊C4—21no—
660C11×C22⋊C4—21no—
661C11×C22⋊C4—21no—
662C11×C22⋊C4—21no—
663C11×C22⋊C4—21no—
664C22⋊Dic11—21no—
665C22⋊Dic11—21no—
666C22⋊Dic11—21no—
667C22⋊Dic11—21no—
668C22⋊Dic11—21no—
669C22⋊Dic11—21no—
670C22⋊Dic11—21no—
671C22⋊Dic11—21no—
672C22⋊Dic11—21no—
673C22⋊Dic11—21no—
674C22⋊Dic11—21no—
675#4326—41no—
676#4326—41no—
677#4326—41no—
678#4325—41no—
679#4324—41no—
680#4324—41no—
681#4324—41no—
682#4323—41no—
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—
694(C2×D11)⋊C4—21no—
695(C2×D11)⋊C4—21no—
696(C2×D11)⋊C4—21no—
697(C2×D11)⋊C4—21no—
698(C2×D11)⋊C4—21no—
699C4⋊Dic11—21no—
700C4⋊Dic11—21no—
701C4⋊Dic11—21no—
702C4⋊Dic11—21no—
703C4⋊Dic11—21no—
704C4⋊Dic11—21no—
705C4⋊Dic11—21no—
706C4⋊Dic11C2411yescharacteristic
707C4⋊Dic11C2411yescharacteristic
708C4⋊Dic11C2411yescharacteristic
709C4⋊Dic11C2411yescharacteristic
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—
719Dic11⋊C4—21no—
720Dic11⋊C4—21no—
721Dic11⋊C4—21no—
722Dic11⋊C4—21no—
723Dic11⋊C4—21no—
724Dic11⋊C4—21no—
725Dic11⋊C4—21no—
726C4×Dic11—21no—
727C4×Dic11—21no—
728C4×Dic11—21no—
729#4318—41no—
730C2×C11⋊C8—41no—
731C2×C11⋊C8C2411yescharacteristic
732C2×C11⋊C8C2411yescharacteristic
733C2×C11⋊C8C2411yescharacteristic
734C2×C11⋊C8C2411yescharacteristic
735Dic44—41no—
736Dic44—41no—
737#4314—41no—
738#4314—41no—
739#4313—22no—
740#4313—22no—
741#4313—41no—
742#4313—41no—
743C8×D11—22no—
744C8×D11—22no—
745C8×D11—41no—
746C8×D11—41no—
747#3489—111no—
748C2×#537—111no—
749#3204—111no—
750#3204—111no—
751#3204—111no—
752#3204D1111yescharacteristic, complemented
753#3201—111no—
754#3201—111no—
755#3201—111no—
756#3201—111no—
757#3195—111no—
758#3195—111no—
759#3194—111no—
760#3194—111no—
761#3190—111no—
762#3190—111no—
763#3187—111no—
764#3187—111no—
765#3099—111no—
766#3099—111no—
767#3092—111no—
768C2×#483—111no—
769#3063—111no—
770#3063—111no—
771#3060—111no—
772#3060—111no—
773#3013—111no—
774#3013—111no—
775#3007—111no—
776#3002—111no—
777#2880—111no—
778C23×C11—21no—
779C23×C11—21no—
780C23×C11C22×D411yescharacteristic
781C23×C11C22×D411yescharacteristic
782C23×C11C22×D411yescharacteristic
783C22×D11—22no—
784C22×D11—22no—
785C22×D11—22no—
786C22×D11—22no—
787C22×D11—21no—
788C22×D11—41no—
789C22×D11—41no—
790C22×D11—41no—
791C22×D11—41no—
792C22×D11—41no—
793C22×D11—42no—
794C22×D11—42no—
795C22×D11—42no—
796C22×D11C22×D411yescharacteristic
797C22×D11C22×D411yescharacteristic
798C22×D11C22×D411yescharacteristic
799C22×D11C22×D411yescharacteristic
800Q8×C11—21no—
801Q8×C11—21no—
802Q8×C11—21no—
803Q8×C11—21no—
804Q8×C11—41no—
805D4×C11—21no—
806D4×C11—21no—
807D4×C11—21no—
808D4×C11—21no—
809D4×C11—41no—
810D4×C11—41no—
811D4×C11—41no—
812D4×C11—42no—
813D4×C11—42no—
814D4×C11—81no—
815D4×C11—81no—
816D4×C11—81no—
817D4×C11—81no—
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—21no—
826C2×C4×C11—21no—
827C2×C4×C11—21no—
828C2×C4×C11—21no—
829C2×C4×C11—21no—
830C2×C4×C11—42no—
831C2×C4×C11—42no—
832C2×C4×C11—81no—
833C2×C4×C11—81no—
834C2×C4×C11C22×D411yescharacteristic
835C2×C4×C11C22×D411yescharacteristic
836C2×C4×C11C22×D411yescharacteristic
837C2×C4×C11C2511yescharacteristic
838C22⋊D11—22no—
839C22⋊D11—22no—
840C22⋊D11—22no—
841C22⋊D11—22no—
842C22⋊D11—41no—
843C22⋊D11—41no—
844C22⋊D11—42no—
845C22⋊D11—42no—
846C22⋊D11—42no—
847C22⋊D11—42no—
848C22⋊D11—42no—
849C22⋊D11—42no—
850C22⋊D11—81no—
851C22⋊D11—81no—
852C22⋊D11—81no—
853C22⋊D11—81no—
854C22⋊D11—81no—
855C2×Dic11—22no—
856C2×Dic11—21no—
857C2×Dic11—21no—
858C2×Dic11—21no—
859C2×Dic11—21no—
860C2×Dic11—21no—
861C2×Dic11—21no—
862C2×Dic11—21no—
863C2×Dic11—41no—
864C2×Dic11—41no—
865C2×Dic11—42no—
866C2×Dic11—42no—
867C2×Dic11—42no—
868C2×Dic11—42no—
869C2×Dic11—81no—
870C2×Dic11C22×D411yescharacteristic
871C2×Dic11C22×D411yescharacteristic
872C2×Dic11C22×D411yescharacteristic
873C2×Dic11C22×D411yescharacteristic
874D44—22no—
875D44—22no—
876D44—21no—
877D44—21no—
878D44—41no—
879D44—42no—
880D44—81no—
881D44—81no—
882C4×D11—22no—
883C4×D11—21no—
884C4×D11—21no—
885C4×D11—21no—
886C4×D11—21no—
887C4×D11—21no—
888C4×D11—21no—
889C4×D11—22no—
890C4×D11—41no—
891C4×D11—41no—
892C4×D11—41no—
893C4×D11—41no—
894C4×D11—42no—
895C4×D11—42no—
896C4×D11—42no—
897C4×D11—42no—
898C4×D11—42no—
899C4×D11—42no—
900C4×D11—42no—
901C4×D11—81no—
902C4×D11—81no—
903C4×D11—81no—
904C4×D11—81no—
905C4×D11H(5,𝔽2)12yes—
906C4×D11H(5,𝔽2)12yes—
907Dic22—22no—
908Dic22—22no—
909Dic22—21no—
910Dic22—21no—
911Dic22—21no—
912Dic22—21no—
913Dic22—21no—
914Dic22—21no—
915Dic22—41no—
916Dic22—42no—
917Dic22—42no—
918Dic22—42no—
919Dic22—42no—
920C8×C11—21no—
921C8×C11—21no—
922C8×C11—21no—
923C8×C11—21no—
924C11⋊C8—21no—
925C11⋊C8—21no—
926C11⋊C8—21no—
927C11⋊C8—21no—
928C2×2−1+4—111no—
929C22×#41—111no—
930C22×#41—111no—
931C2×#137—111no—
932C2×#137—111no—
933C2×#135—111no—
934C2×#135—111no—
935C2×#131—111no—
936C2×#131—111no—
937D4×Q8—221no—
938#548—221no—
939#547—221no—
940#547—221no—
941#547—221no—
942#546—221no—
943#546—221no—
944#546—221no—
945#537—111no—
946#537—111no—
947#537—111no—
948#537—111no—
949#537—111no—
950#537—111no—
951#537—111no—
952#537—111no—
953#537—111no—
954#537—221no—
955#537—221no—
956#537—221no—
957#537—221no—
958#537C2×D1111yescharacteristic
959#537C2×D1111yescharacteristic, complemented
960#536—111no—
961#536—111no—
962#536—111no—
963#525—111no—
964#525—111no—
965#525—111no—
966C2×C22⋊Q8—111no—
967C2×C22⋊Q8—111no—
968C2×C22⋊Q8—111no—
969C2×C22⋊Q8—111no—
970C2×C22⋊Q8—111no—
971C2×C22⋊Q8—221no—
972C2×#121—111no—
973C2×#121—111no—
974C2×#121—221no—
975C2×#121—221no—
976C2×#121—221no—
977#520—111no—
978C22×C4⋊C4—111no—
979#485—111no—
980#485—111no—
981#485—111no—
982#485—111no—
983#484—111no—
984#484—111no—
985#483—111no—
986#483—111no—
987#483—111no—
988#483—111no—
989#483—111no—
990#483—111no—
991#483—111no—
992#483—111no—
993#483—111no—
994#483—111no—
995#483—111no—
996#483—111no—
997#483C2×D1111yescharacteristic, complemented
998#483C2×D1111yescharacteristic, complemented
999#482—111no—
1000#482—111no—
1001#482—111no—
1002#482—111no—
1003#481—111no—
1004#481—111no—
1005#481—111no—
1006#481—111no—
1007#481C2×D1111yescharacteristic, complemented
1008#481C2×D1111yescharacteristic, complemented
1009#480—111no—
1010#480—111no—
1011#470—111no—
1012#470—111no—
1013#470—111no—
1014#470—111no—
1015#470—111no—
1016#470—111no—
1017#470—111no—
1018#470C2×D1111yescharacteristic, complemented
1019#469—111no—
1020#469—111no—
1021#469—111no—
1022#469C2×D1111yescharacteristic, complemented
1023#468—111no—
1024#468—111no—
1025#468—111no—
1026#468—111no—
1027#467—111no—
1028#467—111no—
1029#467—111no—
1030#467—111no—
1031#465—111no—
1032#465—111no—
1033#465—111no—
1034#465—111no—
1035#465—111no—
1036#465—111no—
1037#465—111no—
1038#465—111no—
1039#465—111no—
1040#465—111no—
1041#465C2×D1111yescharacteristic, complemented
1042#465C2×D1111yescharacteristic, complemented
1043#452—111no—
1044#452—111no—
1045#452—111no—
1046#452—111no—
1047#452—111no—
1048#452—111no—
1049#452—111no—
1050#452—111no—
1051#452C2×D1111yescharacteristic, complemented
1052#452C2×D1111yescharacteristic, complemented
1053#451—111no—
1054#451—111no—
1055#451—111no—
1056#451—111no—
1057#451—111no—
1058#451—111no—
1059#451—111no—
1060#450—111no—
1061#450—111no—
1062#450—111no—
1063#449—111no—
1064#449—111no—
1065#449—111no—
1066#449—111no—
1067#449C2×D1111yescharacteristic, complemented
1068#449C2×D1111yescharacteristic, complemented
1069#448—111no—
1070#448—111no—
1071#448—111no—
1072#448—111no—
1073#448—111no—
1074#447—111no—
1075#428—111no—
1076#428—111no—
1077C2×#106—111no—
1078C2×#106—111no—
1079#417—111no—
1080#417—111no—
1081#417—111no—
1082#417—111no—
1083#416—111no—
1084#416—111no—
1085C2×#103—111no—
1086C2×#103—111no—
1087#408—111no—
1088#408—111no—
1089#408—111no—
1090#408—111no—
1091#408—111no—
1092#408C2×D1111yescharacteristic, complemented
1093#407—111no—
1094#407—111no—
1095#407—111no—
1096C2×C22⋊C8—111no—
1097C2×C22⋊C8—111no—
1098C2×C22⋊C8—111no—
1099C22×C11—21no—
1100C22×C11—21no—
1101C22×C11—21no—
1102C22×C11—21no—
1103C22×C11—21no—
1104C22×C11—21no—
1105C22×C11—21no—
1106C22×C11—21no—
1107C22×C11—21no—
1108C22×C11—41no—
1109C22×C11—41no—
1110C22×C11—41no—
1111C22×C11—41no—
1112C22×C11—41no—
1113C22×C11—41no—
1114C22×C11C23×D411yescharacteristic
1115C2×D11—21no—
1116C2×D11—21no—
1117C2×D11—21no—
1118C2×D11—21no—
1119C2×D11—21no—
1120C2×D11—21no—
1121C2×D11—21no—
1122C2×D11—21no—
1123C2×D11—21no—
1124C2×D11—21no—
1125C2×D11—44no—
1126C2×D11—41no—
1127C2×D11—41no—
1128C2×D11—41no—
1129C2×D11—82no—
1130C2×D11—82no—
1131C2×D11—84no—
1132C2×D11#53412yes—
1133C2×D11#57712yes—
1134C4×C11—21no—
1135C4×C11—21no—
1136C4×C11—21no—
1137C4×C11—41no—
1138C4×C11—41no—
1139C4×C11—41no—
1140C4×C11—41no—
1141C4×C11—41no—
1142C4×C11—41no—
1143C4×C11C2×H(5,𝔽2)11yescharacteristic
1144C4×C11C2×H(5,𝔽2)11yescharacteristic
1145Dic11—21no—
1146Dic11—21no—
1147Dic11—21no—
1148Dic11—41no—
1149Dic11—41no—
1150Dic11—41no—
1151Dic11—41no—
1152Dic11—41no—
1153Dic11—41no—
1154Dic11—41no—
1155Dic11#53412yes—
11562−1+4—442no—
11572−1+4—442no—
1158C2×#41—111no—
1159C2×#41—111no—
1160C2×#41—111no—
1161C2×#41—111no—
1162C2×#41—111no—
1163C2×#41—111no—
1164C2×#41—111no—
1165C2×#41—111no—
1166C2×#41—111no—
1167C2×#41—111no—
1168C2×#41—111no—
1169C2×#41—111no—
1170C2×#41—221no—
1171C2×#41—221no—
1172C2×#41—221no—
1173C2×#41—221no—
1174C2×#41—221no—
1175C2×#41—442no—
1176C2×#41—442no—
1177C2×#41—442no—
1178C2×#41—442no—
1179C2×#41C22×D1111yescharacteristic
1180C2×#41C22×D1111yescharacteristic
1181C2×#41C22×D1111yescharacteristic
1182C22×Q8—111no—
1183C22×Q8—111no—
1184C22×Q8—111no—
1185C22×Q8—111no—
1186C22×Q8—111no—
1187C22×Q8—221no—
1188C22×D4—111no—
1189C22×D4—111no—
1190C22×D4—111no—
1191C22×D4—111no—
1192C22×D4—221no—
1193C22×D4—221no—
1194C22×D4—221no—
1195C23×C4—111no—
1196C23×C4—111no—
1197C23×C4—111no—
1198C23×C4—221no—
1199C23×C4—221no—
1200#137—442no—
1201#137—442no—
1202#135—442no—
1203#135—442no—
1204C2×Q16—111no—
1205C2×Q16—111no—
1206C2×Q16—111no—
1207C2×Q16—111no—
1208C2×Q16—111no—
1209C2×Q16C22×D1111yescharacteristic
1210C2×SD16—111no—
1211C2×SD16—111no—
1212C2×SD16—111no—
1213C2×SD16—111no—
1214C2×SD16—111no—
1215C2×SD16—111no—
1216C2×SD16C22×D1111yescharacteristic
1217C2×SD16C22×D1111yescharacteristic
1218C2×D8—111no—
1219C2×D8C22×D1111yescharacteristic
1220#131—442no—
1221#131—442no—
1222C2×M16—111no—
1223C2×M16—111no—
1224C2×M16—111no—
1225C2×M16—111no—
1226C2×M16—111no—
1227C2×M16C22×D1111yescharacteristic
1228C22×C8—111no—
1229C22×C8—111no—
1230C22×C8—111no—
1231C22×C8—111no—
1232C22×C8—111no—
1233C22×C8C22×D1111yescharacteristic
1234C4⋊Q8—221no—
1235C4⋊Q8—221no—
1236C4⋊Q8—221no—
1237#124—221no—
1238#124—221no—
1239#124—221no—
1240#123—221no—
1241#123—221no—
1242#123—221no—
1243#123—221no—
1244#123—221no—
1245#123—221no—
1246#123—221no—
1247#123—221no—
1248#123—221no—
1249C22⋊Q8—21no—
1250C22⋊Q8—21no—
1251C22⋊Q8—111no—
1252C22⋊Q8—111no—
1253C22⋊Q8—111no—
1254C22⋊Q8—111no—
1255C22⋊Q8—111no—
1256C22⋊Q8—111no—
1257C22⋊Q8—111no—
1258C22⋊Q8—111no—
1259C22⋊Q8—111no—
1260C22⋊Q8—111no—
1261C22⋊Q8—111no—
1262C22⋊Q8—111no—
1263C22⋊Q8—111no—
1264C22⋊Q8—111no—
1265C22⋊Q8—111no—
1266C22⋊Q8—111no—
1267C22⋊Q8—221no—
1268C22⋊Q8—221no—
1269C22⋊Q8—221no—
1270C22⋊Q8—221no—
1271C22⋊Q8—221no—
1272C22⋊Q8—221no—
1273C22⋊Q8—221no—
1274C22⋊Q8—221no—
1275C22⋊Q8—221no—
1276C22⋊Q8—221no—
1277C22⋊Q8—221no—
1278C22⋊Q8—221no—
1279C22⋊Q8—221no—
1280C22⋊Q8—221no—
1281C22⋊Q8—221no—
1282C22⋊Q8—221no—
1283C22⋊Q8—221no—
1284C22⋊Q8—221no—
1285C22⋊Q8—221no—
1286C22⋊Q8C22×D1111yescharacteristic
1287C22⋊Q8C22×D1111yescharacteristic
1288C22⋊Q8C22×D1111yescharacteristic
1289C22⋊Q8C22×D1111yescharacteristic
1290#121—21no—
1291#121—21no—
1292#121—21no—
1293#121—21no—
1294#121—21no—
1295#121—21no—
1296#121—111no—
1297#121—111no—
1298#121—111no—
1299#121—111no—
1300#121—111no—
1301#121—111no—
1302#121—111no—
1303#121—111no—
1304#121—221no—
1305#121—221no—
1306#121—221no—
1307#121—221no—
1308#121—221no—
1309#121—221no—
1310#121—221no—
1311#121—221no—
1312#121—221no—
1313#121—221no—
1314#121—221no—
1315#121—221no—
1316#121—221no—
1317#121—221no—
1318#121—221no—
1319#121—221no—
1320#121—221no—
1321#121—221no—
1322#121—221no—
1323#121—221no—
1324#121—221no—
1325#121—221no—
1326#121—221no—
1327#121—221no—
1328#121—221no—
1329#121—221no—
1330#121—221no—
1331#121—221no—
1332#121—221no—
1333#121—221no—
1334#121—221no—
1335#121C22×D1111yescharacteristic
1336#121C22×D1111yescharacteristic
1337#121C22×D1111yescharacteristic
1338#121C22×D1111yescharacteristic
1339#120—221no—
1340#120—221no—
1341#120—221no—
1342C4×Q8—221no—
1343C4×D4—221no—
1344C4×D4—221no—
1345C4×D4—221no—
1346C4×D4—221no—
1347C4×D4—221no—
1348C4×D4—221no—
1349C4×D4—221no—
1350C4×D4—221no—
1351C4×D4—221no—
1352#117—111no—
1353#117—111no—
1354#117—111no—
1355C2×C4⋊C4—111no—
1356C2×C4⋊C4—111no—
1357C2×C4⋊C4—111no—
1358C2×C4⋊C4—111no—
1359C2×C4⋊C4—111no—
1360C2×C4⋊C4—111no—
1361C2×C4⋊C4—111no—
1362C2×C4⋊C4—221no—
1363C2×C4⋊C4—221no—
1364C2×C4⋊C4—221no—
1365C2×C4⋊C4—221no—
1366C2×C4⋊C4—221no—
1367C2×C4⋊C4—221no—
1368C2×C4⋊C4—221no—
1369C2×C4⋊C4—221no—
1370C2×C4⋊C4C22×D1111yescharacteristic
1371C2×C4⋊C4C22×D1111yescharacteristic
1372C2×C22⋊C4—221no—
1373C2×C22⋊C4—221no—
1374C2×C22⋊C4—221no—
1375C2×C22⋊C4—221no—
1376C2×C22⋊C4—221no—
1377C2×C22⋊C4—221no—
1378C2×C22⋊C4—221no—
1379#107—111no—
1380#107—111no—
1381#107—111no—
1382#107—111no—
1383#106—111no—
1384#106—111no—
1385#106—111no—
1386#106—111no—
1387#106—111no—
1388#106—111no—
1389#106—111no—
1390#106—111no—
1391#106C22×D1111yescharacteristic
1392#106C22×D1111yescharacteristic
1393#106C22×D1111yescharacteristic
1394#106C22×D1111yescharacteristic
1395#103—111no—
1396#103—111no—
1397#103—111no—
1398#103—111no—
1399#103—111no—
1400#103—111no—
1401#103—111no—
1402#103—111no—
1403#103—111no—
1404#103—111no—
1405#103—111no—
1406#103—111no—
1407#103—111no—
1408#103—111no—
1409#103—111no—
1410#103—111no—
1411#103C22×D1111yescharacteristic
1412#103C22×D1111yescharacteristic
1413#103C22×D1111yescharacteristic
1414#103C22×D1111yescharacteristic
1415#102—111no—
1416#102—111no—
1417#102—111no—
1418#102—111no—
1419#102—111no—
1420#102—111no—
1421#102—111no—
1422#102—111no—
1423#102C22×D1111yescharacteristic
1424#102C22×D1111yescharacteristic
1425#102C22×D1111yescharacteristic
1426#102C22×D1111yescharacteristic
1427C22⋊C8—111no—
1428C22⋊C8—111no—
1429C22⋊C8—111no—
1430C22⋊C8—111no—
1431C22⋊C8—111no—
1432C22⋊C8—111no—
1433C22⋊C8—111no—
1434C22⋊C8—111no—
1435C22⋊C8—111no—
1436C22⋊C8—111no—
1437C22⋊C8—111no—
1438C22⋊C8—111no—
1439C22⋊C8C22×D1111yescharacteristic
1440C22⋊C8C22×D1111yescharacteristic
1441C22⋊C8C22×D1111yescharacteristic
1442C22⋊C8C22×D1111yescharacteristic
1443C2×C11—41no—
1444C2×C11—41no—
1445C2×C11—41no—
1446C2×C11—81no—
1447C2×C11—81no—
1448C2×C11C2×#53411yescharacteristic
1449C2×C11C2×#57711yescharacteristic
1450C2×C11#358611yescharacteristic
1451D11—22no—
1452D11—22no—
1453D11—41no—
1454D11—41no—
1455D11—81no—
1456C24—111no—
1457C24—111no—
1458C24—111no—
1459C24—221no—
1460#41—41no—
1461#41—41no—
1462#41—41no—
1463#41—41no—
1464#41—41no—
1465#41—41no—
1466#41—222no—
1467#41—222no—
1468#41—222no—
1469#41—222no—
1470#41—222no—
1471#41—222no—
1472#41—222no—
1473#41—222no—
1474#41—222no—
1475#41—222no—
1476#41—441no—
1477#41—441no—
1478#41—441no—
1479#41—441no—
1480#41—444no—
1481#41—444no—
1482#41—441no—
1483#41—441no—
1484#41—442no—
1485#41—442no—
1486#41—442no—
1487#41—444no—
1488#41—442no—
1489#41—444no—
1490#41—444no—
1491C2×Q8—111no—
1492C2×Q8—111no—
1493C2×Q8—111no—
1494C2×Q8—111no—
1495C2×Q8—111no—
1496C2×Q8—111no—
1497C2×Q8—221no—
1498C2×Q8—221no—
1499C2×Q8—221no—
1500C2×Q8—222no—
1501C2×Q8—222no—
1502C2×Q8—221no—
1503C2×Q8—441no—
1504C2×Q8—441no—
1505C2×Q8—444no—
1506C2×Q8—441no—
1507C2×Q8—441no—
1508C2×Q8—441no—
1509C2×Q8—441no—
1510C2×Q8—442no—
1511C2×Q8D4×D1111yescharacteristic
1512C2×Q8C23×D1111yescharacteristic
1513C2×Q8C23×D1111yescharacteristic
1514C2×D4—21no—
1515C2×D4—21no—
1516C2×D4—21no—
1517C2×D4—21no—
1518C2×D4—21no—
1519C2×D4—21no—
1520C2×D4—111no—
1521C2×D4—111no—
1522C2×D4—111no—
1523C2×D4—111no—
1524C2×D4—111no—
1525C2×D4—111no—
1526C2×D4—111no—
1527C2×D4—111no—
1528C2×D4—111no—
1529C2×D4—111no—
1530C2×D4—221no—
1531C2×D4—221no—
1532C2×D4—221no—
1533C2×D4—221no—
1534C2×D4—221no—
1535C2×D4—221no—
1536C2×D4—221no—
1537C2×D4—221no—
1538C2×D4—221no—
1539C2×D4—221no—
1540C2×D4—221no—
1541C2×D4—221no—
1542C2×D4—221no—
1543C2×D4—221no—
1544C2×D4—441no—
1545C2×D4—441no—
1546C2×D4—442no—
1547C2×D4—442no—
1548C2×D4—442no—
1549C2×D4—444no—
1550C2×D4—882no—
1551C2×D4—882no—
1552C2×D4D4×D1111yescharacteristic
1553C2×D4D4×D1111yescharacteristic
1554C2×D4D4×D1111yescharacteristic
1555C2×D4C23×D1111yescharacteristic
1556C2×D4C23×D1111yescharacteristic
1557C22×C4—21no—
1558C22×C4—21no—
1559C22×C4—21no—
1560C22×C4—21no—
1561C22×C4—111no—
1562C22×C4—111no—
1563C22×C4—111no—
1564C22×C4—111no—
1565C22×C4—111no—
1566C22×C4—111no—
1567C22×C4—111no—
1568C22×C4—111no—
1569C22×C4—111no—
1570C22×C4—111no—
1571C22×C4—111no—
1572C22×C4—111no—
1573C22×C4—111no—
1574C22×C4—222no—
1575C22×C4—222no—
1576C22×C4—221no—
1577C22×C4—221no—
1578C22×C4—221no—
1579C22×C4—221no—
1580C22×C4—221no—
1581C22×C4—221no—
1582C22×C4—221no—
1583C22×C4—221no—
1584C22×C4—221no—
1585C22×C4—221no—
1586C22×C4—221no—
1587C22×C4—221no—
1588C22×C4—221no—
1589C22×C4—221no—
1590C22×C4—221no—
1591C22×C4—221no—
1592C22×C4—441no—
1593C22×C4—441no—
1594C22×C4—441no—
1595C22×C4—441no—
1596C22×C4—444no—
1597C22×C4—882no—
1598C22×C4C23×D1111yescharacteristic
1599C22×C4C23×D1111yescharacteristic
1600C22×C4C23×D1111yescharacteristic
1601Q16—41no—
1602Q16—441no—
1603Q16—441no—
1604Q16—441no—
1605Q16—441no—
1606Q16—441no—
1607SD16—41no—
1608SD16—41no—
1609SD16—441no—
1610SD16—441no—
1611SD16—441no—
1612SD16—441no—
1613SD16—441no—
1614SD16—441no—
1615D8—41no—
1616D8—441no—
1617M16—41no—
1618M16—222no—
1619M16—222no—
1620M16—441no—
1621M16—441no—
1622M16—441no—
1623C2×C8—41no—
1624C2×C8—111no—
1625C2×C8—111no—
1626C2×C8—111no—
1627C2×C8—111no—
1628C2×C8—222no—
1629C2×C8—222no—
1630C2×C8—441no—
1631C2×C8—441no—
1632C2×C8—441no—
1633C2×C8C23×D1111yescharacteristic
1634C2×C8C23×D1111yescharacteristic
1635C2×C8C23×D1111yescharacteristic
1636C2×C8C23×D1111yescharacteristic
1637C4⋊C4—21no—
1638C4⋊C4—21no—
1639C4⋊C4—21no—
1640C4⋊C4—21no—
1641C4⋊C4—21no—
1642C4⋊C4—21no—
1643C4⋊C4—111no—
1644C4⋊C4—111no—
1645C4⋊C4—111no—
1646C4⋊C4—111no—
1647C4⋊C4—221no—
1648C4⋊C4—221no—
1649C4⋊C4—221no—
1650C4⋊C4—221no—
1651C4⋊C4—221no—
1652C4⋊C4—221no—
1653C4⋊C4—221no—
1654C4⋊C4—221no—
1655C4⋊C4—221no—
1656C4⋊C4—221no—
1657C4⋊C4—221no—
1658C4⋊C4—221no—
1659C4⋊C4—221no—
1660C4⋊C4—221no—
1661C4⋊C4—221no—
1662C4⋊C4—221no—
1663C4⋊C4—221no—
1664C4⋊C4—221no—
1665C4⋊C4—221no—
1666C4⋊C4—221no—
1667C4⋊C4—221no—
1668C4⋊C4—221no—
1669C4⋊C4—221no—
1670C4⋊C4C23×D1111yescharacteristic
1671C4⋊C4C23×D1111yescharacteristic
1672C4⋊C4C23×D1111yescharacteristic
1673C4⋊C4C23×D1111yescharacteristic
1674C22⋊C4—21no—
1675C22⋊C4—21no—
1676C22⋊C4—21no—
1677C22⋊C4—21no—
1678C22⋊C4—21no—
1679C22⋊C4—21no—
1680C22⋊C4—21no—
1681C22⋊C4—21no—
1682C22⋊C4—221no—
1683C22⋊C4—221no—
1684C22⋊C4—221no—
1685C22⋊C4—221no—
1686C22⋊C4—221no—
1687C22⋊C4—221no—
1688C22⋊C4—221no—
1689C22⋊C4—221no—
1690C22⋊C4—221no—
1691C22⋊C4—221no—
1692C22⋊C4—221no—
1693C22⋊C4—221no—
1694C22⋊C4—221no—
1695C22⋊C4—221no—
1696C22⋊C4—221no—
1697C22⋊C4—221no—
1698C22⋊C4—221no—
1699C22⋊C4—221no—
1700C22⋊C4—221no—
1701C22⋊C4—221no—
1702C22⋊C4—221no—
1703C22⋊C4—221no—
1704C22⋊C4—221no—
1705C22⋊C4—221no—
1706C22⋊C4—221no—
1707C22⋊C4—221no—
1708C22⋊C4—221no—
1709C42—221no—
1710C42—221no—
1711C42—221no—
1712C11#6076311yescharacteristic, complemented, Sylow
1713C23—21no—
1714C23—21no—
1715C23—111no—
1716C23—111no—
1717C23—111no—
1718C23—111no—
1719C23—222no—
1720C23—222no—
1721C23—222no—
1722C23—222no—
1723C23—221no—
1724C23—441no—
1725C23—441no—
1726C23—441no—
1727C23—441no—
1728C23—441no—
1729C23—442no—
1730C23—442no—
1731C23—442no—
1732C23C2×D4×D1111yescharacteristic
1733C23C2×D4×D1111yescharacteristic
1734C23C2×D4×D1111yescharacteristic
1735Q8—21no—
1736Q8—21no—
1737Q8—21no—
1738Q8—21no—
1739Q8—41no—
1740Q8—222no—
1741Q8—222no—
1742Q8—221no—
1743Q8—221no—
1744Q8—221no—
1745Q8—221no—
1746Q8—221no—
1747Q8—221no—
1748Q8—441no—
1749Q8—442no—
1750Q8—442no—
1751Q8—442no—
1752Q8—442no—
1753D4—21no—
1754D4—21no—
1755D4—21no—
1756D4—21no—
1757D4—41no—
1758D4—41no—
1759D4—41no—
1760D4—42no—
1761D4—42no—
1762D4—81no—
1763D4—81no—
1764D4—81no—
1765D4—81no—
1766D4—222no—
1767D4—222no—
1768D4—222no—
1769D4—222no—
1770D4—222no—
1771D4—222no—
1772D4—221no—
1773D4—221no—
1774D4—441no—
1775D4—442no—
1776D4—441no—
1777D4—441no—
1778D4—442no—
1779D4—442no—
1780D4—442no—
1781D4—442no—
1782D4—442no—
1783D4—442no—
1784D4—881no—
1785D4—881no—
1786D4—881no—
1787D4—881no—
1788D4—881no—
1789D4—881no—
1790D4—881no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—42no—
1804C2×C4—42no—
1805C2×C4—81no—
1806C2×C4—81no—
1807C2×C4—111no—
1808C2×C4—112no—
1809C2×C4—112no—
1810C2×C4—111no—
1811C2×C4—111no—
1812C2×C4—111no—
1813C2×C4—222no—
1814C2×C4—222no—
1815C2×C4—222no—
1816C2×C4—221no—
1817C2×C4—221no—
1818C2×C4—221no—
1819C2×C4—221no—
1820C2×C4—221no—
1821C2×C4—221no—
1822C2×C4—221no—
1823C2×C4—221no—
1824C2×C4—221no—
1825C2×C4—221no—
1826C2×C4—221no—
1827C2×C4—221no—
1828C2×C4—221no—
1829C2×C4—441no—
1830C2×C4—441no—
1831C2×C4—441no—
1832C2×C4—441no—
1833C2×C4—442no—
1834C2×C4—442no—
1835C2×C4—442no—
1836C2×C4—442no—
1837C2×C4—442no—
1838C2×C4—442no—
1839C2×C4—442no—
1840C2×C4—442no—
1841C2×C4—442no—
1842C2×C4—441no—
1843C2×C4—441no—
1844C2×C4—442no—
1845C2×C4—442no—
1846C2×C4—881no—
1847C2×C4—881no—
1848C2×C4—881no—
1849C2×C4—881no—
1850C2×C4—881no—
1851C2×C4C2×D4×D1111yescharacteristic
1852C2×C4C2×D4×D1111yescharacteristic
1853C2×C4C2×D4×D1111yescharacteristic
1854C2×C4C24×D1111yescharacteristic
1855C8—21no—
1856C8—21no—
1857C8—21no—
1858C8—21no—
1859C8—221no—
1860C8—221no—
1861C8—221no—
1862C8—221no—
1863C22—21no—
1864C22—21no—
1865C22—21no—
1866C22—21no—
1867C22—21no—
1868C22—21no—
1869C22—21no—
1870C22—21no—
1871C22—21no—
1872C22—41no—
1873C22—41no—
1874C22—41no—
1875C22—41no—
1876C22—41no—
1877C22—41no—
1878C22—112no—
1879C22—112no—
1880C22—221no—
1881C22—221no—
1882C22—221no—
1883C22—221no—
1884C22—221no—
1885C22—221no—
1886C22—221no—
1887C22—221no—
1888C22—221no—
1889C22—221no—
1890C22—444no—
1891C22—441no—
1892C22—441no—
1893C22—441no—
1894C22—882no—
1895C22—882no—
1896C22—884no—
1897C22C22×D4×D1111yescharacteristic
1898C4—21no—
1899C4—21no—
1900C4—21no—
1901C4—41no—
1902C4—41no—
1903C4—41no—
1904C4—41no—
1905C4—41no—
1906C4—41no—
1907C4—112no—
1908C4—221no—
1909C4—221no—
1910C4—221no—
1911C4—441no—
1912C4—441no—
1913C4—441no—
1914C4—441no—
1915C4—441no—
1916C4—441no—
1917C4—441no—
1918C4D11×H(5,𝔽2)11yescharacteristic
1919C4D11×H(5,𝔽2)11yescharacteristic
1920C2—41no—
1921C2—41no—
1922C2—41no—
1923C2—81no—
1924C2—81no—
1925C2—222no—
1926C2—222no—
1927C2—441no—
1928C2—441no—
1929C2—881no—
1930C2D11×#53411yescharacteristic
1931C2D11×#57711yescharacteristic
1932C2#1308339811yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3204C2
socleC22×C11C23×D4
hypercenter#3204D11
hypocenterC11#60763
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3204

Complements

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

NH ≅ G/Ntype
1. #13082291C2semidirect
2. D11×#537C2semidirect
3. #13079529C2semidirect
4. #13079525C2semidirect
5. #13079522C2semidirect
6. #13079505C2semidirect
7. #13079500C2semidirect
8. #13079497C2semidirect
9. #13079492C2semidirect
10. #13079439C2semidirect
11. #13079436C2semidirect
12. #13079428C2semidirect
13. #13079425C2semidirect
14. #13079395C2semidirect
15. #13079392C2semidirect
16. #13079375C2semidirect
17. #13079368C2semidirect
18. #13078606C2semidirect
19. #13078600C2semidirect
20. #13078538C2semidirect
21. D11×#483C2semidirect
22. #13078304C2semidirect
23. #13078300C2semidirect
24. #13078276C2semidirect
25. #13078273C2semidirect
26. #13077935C2semidirect
27. #13077929C2semidirect
28. #13077873C2semidirect
29. #13077831C2semidirect
30. #13077064C2semidirect
31. C11×#3204C2semidirect
32. C2×#67043C22semidirect
36. C11×#537C22semidirect
40. #10623356C22semidirect
41. C2×#66971C22semidirect
42. C2×#66969C22semidirect
43. C2×#66968C22semidirect
44. C2×#66965C22semidirect
45. C2×#66960C22semidirect
46. C2×#66954C22semidirect
52. #10623159C22semidirect
53. #10623159C22semidirect
67. #10623139C22semidirect
68. #10623139C22semidirect
81. #10623035C22semidirect
83. C11×#483C22semidirect
84. C11×#483C22semidirect
85. C11×#481C22semidirect
86. C11×#481C22semidirect
87. C11×#470C22semidirect
88. C11×#469C22semidirect
89. C11×#465C22semidirect
90. C11×#465C22semidirect
91. C11×#452C22semidirect
92. C11×#452C22semidirect
93. C11×#449C22semidirect
94. C11×#449C22semidirect
95. C11×#408C22semidirect
96. #10622852C22semidirect
97. #10622852C22semidirect
98. #10622852C22semidirect
99. #10622851C22semidirect
100. #10622847C22semidirect
101. #10622801C22semidirect
103. #10622799C22semidirect
104. #10622787C22semidirect
105. #10622786C22semidirect
106. #10622784C22semidirect
108. #10622783C22semidirect
110. #10622772C22semidirect
111. #10622771C22semidirect
113. #10622750C22semidirect
114. #10622747C22semidirect
116. #10622729C22semidirect
117. #10622727C22semidirect
119. #10622665C22semidirect
120. #10622665C22semidirect
121. #10622664C22semidirect
122. #10622663C22semidirect
123. #10622661C22semidirect
124. #10622660C22semidirect
125. #10622658C22semidirect
126. #10622656C22semidirect
127. #10622655C22semidirect
128. #10622654C22semidirect
129. #10622654C22semidirect
130. #10622653C22semidirect
131. #10622652C22semidirect
132. #10622650C22semidirect
133. #10622648C22semidirect
134. #10622647C22semidirect
135. #10622584C22semidirect
136. #10622584C22semidirect
137. #10622583C22semidirect
138. #10622581C22semidirect
139. #10622481C22semidirect
140. #10622481C22semidirect
141. #10622480C22semidirect
142. #10622479C22semidirect
143. #10622477C22semidirect
144. #10622477C22semidirect
145. #10622476C22semidirect
150. #10622475C22semidirect
151. #10622474C22semidirect
152. #10622474C22semidirect
153. D11×#106C22semidirect
154. D11×#106C22semidirect
155. #10622429C22semidirect
156. #10622429C22semidirect
157. #10622427C22semidirect
158. #10622426C22semidirect
159. #10622425C22semidirect
162. #10622421C22semidirect
163. #10622419C22semidirect
166. #10622418C22semidirect
167. #10622417C22semidirect
168. #10622416C22semidirect
169. D11×#103C22semidirect
170. D11×#103C22semidirect
171. #10622397C22semidirect
172. #10622396C22semidirect
173. #10622395C22semidirect
174. #10622394C22semidirect
175. #10622391C22semidirect
176. #10622391C22semidirect
177. #10622391C22semidirect
178. #10622390C22semidirect
183. #10622385C22semidirect
184. #10622384C22semidirect
185. #10622384C22semidirect
186. #10622384C22semidirect
187. #10622352C22semidirect
188. #10622351C22semidirect
189. #10622350C22semidirect
190. #10622346C22semidirect
191. #10622346C22semidirect
192. #10622340C22semidirect
193. #10622340C22semidirect
194. #10622340C22semidirect
195. #10622340C22semidirect
200. #10622336C22semidirect
201. #10622335C22semidirect
202. #10622334C22semidirect
752. #3204D11semidirect
959. #537C2×D11semidirect
997. #483C2×D11semidirect
998. #483C2×D11semidirect
1007. #481C2×D11semidirect
1008. #481C2×D11semidirect
1018. #470C2×D11semidirect
1022. #469C2×D11semidirect
1041. #465C2×D11semidirect
1042. #465C2×D11semidirect
1051. #452C2×D11semidirect
1052. #452C2×D11semidirect
1067. #449C2×D11semidirect
1068. #449C2×D11semidirect
1092. #408C2×D11semidirect
1712. C11#60763semidirect

Maximal subgroups

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

subgroupindex
#130822912
D11×#5372
#130795292
#130795252
#130795222
#130795052
#130795002
#130794972
#130794922
#130794392
#130794362
#130794282
#130794252
#130793952
#130793922
#130793752
#130793682
#130786062
#130786002
#130785382
D11×#4832
#130783042
#130783002
#130782762
#130782732
#130779352
#130779292
#130778732
#130778312
#130770642
C11×#32042
#6076311