Finite Group Databasebeta

← #15624671

Subgroups — #15624671

Order 2816.

2208 conjugacy classes of subgroups.

The subgroup lattice has 1972 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082280C211yesmaximal, characteristic, complemented
2#13081944C211yesmaximal, characteristic, complemented
3#13079526C211yesmaximal, characteristic, complemented
4#13079517C211yesmaximal, characteristic, complemented
5#13079513C211yesmaximal, characteristic, complemented
6#13079473C211yesmaximal, characteristic, complemented
7#13079470C211yesmaximal, characteristic, complemented
8#13079467C211yesmaximal, characteristic, complemented
9#13079462C211yesmaximal, characteristic, complemented
10#13079459C211yesmaximal, characteristic, complemented
11#13079455C211yesmaximal, characteristic, complemented
12#13079435C211yesmaximal, characteristic, complemented
13#13079425C211yesmaximal, characteristic, complemented
14#13079408C211yesmaximal, characteristic, complemented
15#13079405C211yesmaximal, characteristic, complemented
16#13079382C211yesmaximal, characteristic, complemented
17#13079380C211yesmaximal, characteristic, complemented
18#13078578C211yesmaximal, characteristic, complemented
19#13078573C211yesmaximal, characteristic, complemented
20#13078553C211yesmaximal, characteristic, complemented
21#13078530C211yesmaximal, characteristic, complemented
22#13078304C211yesmaximal, characteristic, complemented
23#13078289C211yesmaximal, characteristic, complemented
24#13078262C211yesmaximal, characteristic, complemented
25#13078250C211yesmaximal, characteristic, complemented
26#13077890C211yesmaximal, characteristic, complemented
27#13077881C211yesmaximal, characteristic, complemented
28#13077859C211yesmaximal, characteristic, complemented
29D11×#449C211yesmaximal, characteristic, complemented
30#13077064C211yesmaximal, characteristic, complemented
31C11×#3204C211yesmaximal, characteristic, complemented
32C2×#67042C2211yescharacteristic
33C2×#41×D11C2211yescharacteristic
34C2×#41×D11C2211yescharacteristic, complemented
35C11×#537C2211yescharacteristic, complemented
36C11×#537C2211yescharacteristic, complemented
37#10623364C2211yescharacteristic, complemented
38#10623364C2211yescharacteristic, complemented
39#10623361C2211yescharacteristic, complemented
40#10623359C2211yescharacteristic, complemented
41C2×#66971C2211yescharacteristic, complemented
42C2×#66967C2211yescharacteristic, complemented
43C2×SD16×D11C2211yescharacteristic, complemented
44C2×D8×D11C2211yescharacteristic, complemented
45C2×#66960C2211yescharacteristic, complemented
46C2×#66954C2211yescharacteristic, complemented
47#10623164—21no—
48#10623161—21no—
49#10623160C2211yescharacteristic
50#10623160C2211yescharacteristic, complemented
51#10623159—21no—
52#10623159C2211yescharacteristic
53#10623159C2211yescharacteristic, complemented
54#10623158—21no—
55#10623158C2211yescharacteristic
56#10623158C2211yescharacteristic, complemented
57#10623158C2211yescharacteristic, complemented
58#10623158C2211yescharacteristic, complemented
59#10623141—21no—
60#10623141—21no—
61#10623140—21no—
62#10623140—21no—
63#10623140—21no—
64#10623138—21no—
65#10623138C2211yescharacteristic
66#10623138C2211yescharacteristic
67#10623138C2211yescharacteristic, complemented
68#10623138C2211yescharacteristic, complemented
69#10623137—21no—
70#10623137C2211yescharacteristic, complemented
71#10623137C2211yescharacteristic, complemented
72#10623136—21no—
73#10623136—21no—
74D11×#121C2211yescharacteristic
75D11×#121C2211yescharacteristic, complemented
76#10623130—21no—
77#10623127—21no—
78#10623127—21no—
79#10623041C2211yescharacteristic, complemented
80C2×#66948C2211yescharacteristic, complemented
81#10623035C2211yescharacteristic
82C2×#66945C2211yescharacteristic, complemented
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#10622851C2211yescharacteristic, complemented
98#10622851C2211yescharacteristic, complemented
99#10622851C2211yescharacteristic, complemented
100#10622847C2211yescharacteristic, complemented
101#10622801C2211yescharacteristic, complemented
102#10622800C2211yescharacteristic, complemented
103#10622800C2211yescharacteristic, complemented
104#10622787C2211yescharacteristic, complemented
105#10622786C2211yescharacteristic, complemented
106#10622785C2211yescharacteristic, complemented
107#10622785C2211yescharacteristic, complemented
108#10622784C2211yescharacteristic, complemented
109#10622782C2211yescharacteristic, complemented
110#10622772C2211yescharacteristic, complemented
111#10622771C2211yescharacteristic, complemented
112#10622769C2211yescharacteristic, complemented
113#10622748C2211yescharacteristic, complemented
114#10622747C2211yescharacteristic, complemented
115#10622739C2211yescharacteristic, complemented
116#10622728C2211yescharacteristic, complemented
117#10622727C2211yescharacteristic, complemented
118C2×(C2×D11)⋊C8C2211yescharacteristic, complemented
119#10622664C2211yescharacteristic, complemented
120#10622662C2211yescharacteristic, complemented
121#10622662C2211yescharacteristic, complemented
122#10622661C2211yescharacteristic, complemented
123#10622660C2211yescharacteristic, complemented
124#10622659C2211yescharacteristic, complemented
125#10622658C2211yescharacteristic, complemented
126#10622657C2211yescharacteristic, complemented
127#10622655C2211yescharacteristic, complemented
128#10622652C2211yescharacteristic, complemented
129#10622651C2211yescharacteristic, complemented
130#10622651C2211yescharacteristic, complemented
131#10622650C2211yescharacteristic, complemented
132#10622649C2211yescharacteristic, complemented
133#10622648C2211yescharacteristic, complemented
134#10622646C2211yescharacteristic, complemented
135#10622583C2211yescharacteristic, complemented
136#10622581C2211yescharacteristic, complemented
137#10622580C2211yescharacteristic, complemented
138#10622580C2211yescharacteristic, complemented
139#10622480C2211yescharacteristic, complemented
140#10622479C2211yescharacteristic, complemented
141#10622479C2211yescharacteristic, complemented
142#10622479C2211yescharacteristic, complemented
143#10622479C2211yescharacteristic, complemented
144#10622479C2211yescharacteristic, complemented
145#10622478C2211yescharacteristic, complemented
146#10622478C2211yescharacteristic, complemented
147#10622477C2211yescharacteristic, complemented
148#10622477C2211yescharacteristic, complemented
149#10622476C2211yescharacteristic, complemented
150#10622475C2211yescharacteristic, complemented
151#10622474C2211yescharacteristic, complemented
152#10622474C2211yescharacteristic, complemented
153#10622473C2211yescharacteristic, complemented
154#10622473C2211yescharacteristic, complemented
155#10622429C2211yescharacteristic, complemented
156#10622428C2211yescharacteristic, complemented
157#10622428C2211yescharacteristic, complemented
158#10622428C2211yescharacteristic, complemented
159#10622425C2211yescharacteristic, complemented
160#10622425C2211yescharacteristic, complemented
161#10622424C2211yescharacteristic, complemented
162#10622424C2211yescharacteristic, complemented
163#10622424C2211yescharacteristic, complemented
164#10622423C2211yescharacteristic, complemented
165#10622422C2211yescharacteristic, complemented
166#10622420C2211yescharacteristic, complemented
167#10622417C2211yescharacteristic, complemented
168#10622417C2211yescharacteristic, complemented
169#10622415C2211yescharacteristic, complemented
170D11×#103C2211yescharacteristic, complemented
171#10622397C2211yescharacteristic, complemented
172#10622397C2211yescharacteristic, complemented
173#10622394C2211yescharacteristic, complemented
174#10622394C2211yescharacteristic, complemented
175#10622393C2211yescharacteristic, complemented
176#10622392C2211yescharacteristic, complemented
177#10622389C2211yescharacteristic, complemented
178#10622388C2211yescharacteristic, complemented
179#10622388C2211yescharacteristic, complemented
180#10622388C2211yescharacteristic, complemented
181#10622387C2211yescharacteristic, complemented
182#10622386C2211yescharacteristic, complemented
183#10622383C2211yescharacteristic, complemented
184#10622383C2211yescharacteristic, complemented
185#10622383C2211yescharacteristic, complemented
186D11×#102C2211yescharacteristic, complemented
187#10622350C2211yescharacteristic, complemented
188#10622349C2211yescharacteristic, complemented
189#10622348C2211yescharacteristic, complemented
190#10622347C2211yescharacteristic, complemented
191#10622347C2211yescharacteristic, complemented
192#10622345C2211yescharacteristic, complemented
193#10622344C2211yescharacteristic, complemented
194#10622340C2211yescharacteristic
195#10622340C2211yescharacteristic
196#10622340C2211yescharacteristic, complemented
197#10622340C2211yescharacteristic, complemented
198#10622339C2211yescharacteristic, complemented
199#10622339C2211yescharacteristic, complemented
200D11×C22⋊C8C2211yescharacteristic, complemented
201D11×C22⋊C8C2211yescharacteristic, complemented
202#10622336C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C2×C11×#41C2311yescharacteristic
205C2×C11×#41C2311yescharacteristic
206#67042—42no—
207#67042—42no—
208#41×D11—42no—
209#41×D11—42no—
210#41×D11—42no—
211#41×D11—42no—
212C2×#4343D411yescharacteristic
213C2×#4343C2311yescharacteristic
214C2×#4343C2311yescharacteristic
215C2×#4343C2311yescharacteristic
216C2×Q8×D11D411yescharacteristic
217C2×Q8×D11C2311yescharacteristic
218C2×#4341—21no—
219C2×#4341D411yescharacteristic
220C2×#4341D411yescharacteristic
221C2×#4341D411yescharacteristic
222C2×#4341C2311yescharacteristic
223C2×D4×D11—21no—
224C2×D4×D11—21no—
225C2×D4×D11—21no—
226C2×D4×D11—21no—
227C2×D4×D11—21no—
228C2×D4×D11D411yescharacteristic
229C2×D4×D11D411yescharacteristic
230C2×D4×D11D411yescharacteristic
231C2×D4×D11C2311yescharacteristic
232C2×D4×D11C2311yescharacteristic
233C2×D4×D11C2311yescharacteristic
234C2×#4339—21no—
235C2×#4339—21no—
236C2×#4339C2311yescharacteristic
237C2×#4339C2311yescharacteristic
238C2×#4339C2311yescharacteristic
239C2×#4339C2311yescharacteristic
240C22×D44—21no—
241C22×D44—21no—
242C22×D44C2311yescharacteristic
243C22×C4×D11—21no—
244C22×C4×D11C2311yescharacteristic
245C22×C4×D11C2311yescharacteristic
246C22×C4×D11C2311yescharacteristic
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#67000—21no—
272#66999—21no—
273#66999C2311yescharacteristic
274#66999C2311yescharacteristic
275#66999C2311yescharacteristic
276#66999C2311yescharacteristic
277C2×#4326C2311yescharacteristic
278C2×#4325C2311yescharacteristic
279C2×#4325C2311yescharacteristic
280C2×#4325C2311yescharacteristic
281#66993—21no—
282#66993—21no—
283#66993—21no—
284#66993—21no—
285#66993—21no—
286#66992—21no—
287#66992—21no—
288#66992—21no—
289#66992—21no—
290#66992—21no—
291#66992—21no—
292#66991—21no—
293#66991C2311yescharacteristic
294#66991C2311yescharacteristic
295#66991C2311yescharacteristic
296#66991C2311yescharacteristic
297#66990—21no—
298#66990—21no—
299#66990—21no—
300#66990—21no—
301#66990—21no—
302#66990—21no—
303#66990—21no—
304#66990—21no—
305#66990—21no—
306#66988—21no—
307D4×Dic11—21no—
308D4×Dic11—21no—
309C2×#4324C2311yescharacteristic
310C2×#4323C2311yescharacteristic
311C2×#4323C2311yescharacteristic
312C2×#4323C2311yescharacteristic
313#66983—21no—
314#66983—21no—
315#66983—21no—
316#66983C2311yescharacteristic
317#66983C2311yescharacteristic
318#66983C2311yescharacteristic
319#66983C2311yescharacteristic
320#66983C2311yescharacteristic
321#66983C2311yescharacteristic
322C4×C22⋊D11—21no—
323C4×C22⋊D11—21no—
324C4×C22⋊D11—21no—
325C4×C22⋊D11—21no—
326C2×(C2×D11)⋊C4—21no—
327C2×(C2×D11)⋊C4—21no—
328#66979C2311yescharacteristic
329C2×C4⋊Dic11C2311yescharacteristic
330#66977—21no—
331#66977C2311yescharacteristic
332#66977C2311yescharacteristic
333C2×C4×Dic11—21no—
334C2×#4318C2311yescharacteristic
335C22×C11⋊C8C2311yescharacteristic
336#66971—42no—
337#66967—42no—
338SD16×D11—42no—
339D8×D11—42no—
340#66960—42no—
341C2×D88C2311yescharacteristic
342C2×D88C2311yescharacteristic
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#66950C2311yescharacteristic
356#66950C2311yescharacteristic
357#66949—21no—
358#66949—21no—
359#66948—21no—
360#66948—21no—
361#66948—21no—
362#66948—21no—
363#66948—21no—
364#66948C2311yescharacteristic
365#66948C2311yescharacteristic
366#66948C2311yescharacteristic
367#66948C2311yescharacteristic
368#66948C2311yescharacteristic
369#66948C2311yescharacteristic
370#66947—21no—
371#66947—21no—
372#66947—21no—
373#66947—21no—
374#66947—21no—
375#66947—21no—
376#66946—21no—
377#66946—21no—
378#66946—21no—
379#66946—21no—
380#66946—21no—
381#66945—21no—
382#66945—21no—
383#66945C2311yescharacteristic
384#66945C2311yescharacteristic
385#66945C2311yescharacteristic
386#66945C2311yescharacteristic
387#66945C2311yescharacteristic
388#66945C2311yescharacteristic
389C4⋊C4×D11C2311yescharacteristic
390C4⋊C4×D11C2311yescharacteristic
391#66941—21no—
392#66941—21no—
393#66940—21no—
394#66938—21no—
395#66938—21no—
396#66938—21no—
397#66938—21no—
398#66938—21no—
399#66938—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#66935—21no—
411#66935—21no—
412#66935—21no—
413#66935—21no—
414#66935—21no—
415#66935—21no—
416#66935—21no—
417#66935—21no—
418(C22⋊D11)⋊C4—21no—
419(C22⋊D11)⋊C4—21no—
420(C22⋊D11)⋊C4—21no—
421(C22⋊D11)⋊C4—21no—
422(C22⋊D11)⋊C4—21no—
423(C22⋊D11)⋊C4—21no—
424C22⋊C4×D11—21no—
425C22⋊C4×D11—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#66885C2311yescharacteristic
457#66885C2311yescharacteristic
458#66885C2311yescharacteristic
459#66885C2311yescharacteristic
460(C2×D11)⋊C8C2311yescharacteristic
461(C2×D11)⋊C8C2311yescharacteristic
462(C2×D11)⋊C8C2311yescharacteristic
463(C2×D11)⋊C8C2311yescharacteristic
464(C2×D11)⋊C8C2311yescharacteristic
465(C2×D11)⋊C8C2311yescharacteristic
466(C2×D11)⋊C8C2311yescharacteristic
467(C2×D11)⋊C8C2311yescharacteristic
468#66882C2311yescharacteristic
469#66882C2311yescharacteristic
470#66881C2311yescharacteristic
471#66881C2311yescharacteristic
472#66880C2311yescharacteristic
473#66880C2311yescharacteristic
474#66874C2311yescharacteristic
475#66874C2311yescharacteristic
476#66873C2311yescharacteristic
477#66873C2311yescharacteristic
478#66873C2311yescharacteristic
479#66873C2311yescharacteristic
480#66873C2311yescharacteristic
481#66873C2311yescharacteristic
482#66872C2311yescharacteristic
483#66872C2311yescharacteristic
484#66871C2311yescharacteristic
485#66871C2311yescharacteristic
486#66871C2311yescharacteristic
487#66871C2311yescharacteristic
488#66871C2311yescharacteristic
489#66871C2311yescharacteristic
490#60760—111nomaximal, Sylow
491C23×D11—21no—
492C23×D11—21no—
493C23×D11—21no—
494C23×D11—21no—
495C23×D11C2×D411yescharacteristic
496C23×D11C2×D411yescharacteristic
497C23×D11C2×D411yescharacteristic
498C11×#41—41no—
499C11×#41—41no—
500C11×#41—41no—
501C11×#41—41no—
502C11×#41—41no—
503C11×#41—41no—
504C2×Q8×C11C2×D411yescharacteristic
505C2×Q8×C11C2411yescharacteristic
506C2×Q8×C11C2411yescharacteristic
507C2×D4×C11—21no—
508C2×D4×C11—21no—
509C2×D4×C11—21no—
510C2×D4×C11—21no—
511C2×D4×C11—21no—
512C2×D4×C11—21no—
513C2×D4×C11C2×D411yescharacteristic
514C2×D4×C11C2×D411yescharacteristic
515C2×D4×C11C2×D411yescharacteristic
516C2×D4×C11C2411yescharacteristic
517C2×D4×C11C2411yescharacteristic
518C22×C4×C11—21no—
519C22×C4×C11—21no—
520C22×C4×C11—21no—
521C22×C4×C11—21no—
522C22×C4×C11C2411yescharacteristic
523C22×C4×C11C2411yescharacteristic
524C22×C4×C11C2411yescharacteristic
525C2×C22⋊D11—21no—
526C2×C22⋊D11—21no—
527C2×C22⋊D11—21no—
528C2×C22⋊D11—21no—
529C2×C22⋊D11—21no—
530C2×C22⋊D11—21no—
531C2×C22⋊D11—21no—
532C2×C22⋊D11—21no—
533C2×C22⋊D11—21no—
534C2×C22⋊D11—21no—
535C2×C22⋊D11—21no—
536C2×C22⋊D11—21no—
537C2×C22⋊D11—21no—
538C2×C22⋊D11—21no—
539C2×C22⋊D11—21no—
540C2×C22⋊D11C2×D411yescharacteristic
541C2×C22⋊D11C2×D411yescharacteristic
542C2×C22⋊D11C2×D411yescharacteristic
543C2×C22⋊D11C2×D411yescharacteristic
544C2×C22⋊D11C2×D411yescharacteristic
545C2×C22⋊D11C2×D411yescharacteristic
546C22×Dic11—21no—
547C22×Dic11—21no—
548C22×Dic11C2×D411yescharacteristic
549C22×Dic11C2×D411yescharacteristic
550C22×Dic11C2×D411yescharacteristic
551#4343—22no—
552#4343—22no—
553#4343—41no—
554#4343—41no—
555#4343—41no—
556#4343—41no—
557#4343—42no—
558Q8×D11—22no—
559Q8×D11—22no—
560Q8×D11—42no—
561#4341—41no—
562#4341—41no—
563#4341—42no—
564#4341—42no—
565#4341—42no—
566#4341—44no—
567D4×D11—22no—
568D4×D11—22no—
569D4×D11—22no—
570D4×D11—22no—
571D4×D11—41no—
572D4×D11—41no—
573D4×D11—42no—
574D4×D11—42no—
575D4×D11—44no—
576D4×D11—42no—
577D4×D11—44no—
578D4×D11—44no—
579D4×D11—82no—
580D4×D11—82no—
581#4339—22no—
582#4339—22no—
583#4339—22no—
584#4339—22no—
585#4339—41no—
586#4339—41no—
587#4339—41no—
588#4339—41no—
589#4339—44no—
590#4339—44no—
591C2×D44—21no—
592C2×D44—21no—
593C2×D44—21no—
594C2×D44—21no—
595C2×D44—21no—
596C2×D44—21no—
597C2×D44—21no—
598C2×D44—21no—
599C2×D44—21no—
600C2×D44—21no—
601C2×D44—41no—
602C2×D44—41no—
603C2×D44—44no—
604C2×D44—82no—
605C2×D44C2×D411yescharacteristic
606C2×D44C2×D411yescharacteristic
607C2×D44C2×D411yescharacteristic
608C2×D44C2411yescharacteristic
609C2×D44C2411yescharacteristic
610C2×D44C2411yescharacteristic
611C2×C4×D11—22no—
612C2×C4×D11—22no—
613C2×C4×D11—21no—
614C2×C4×D11—21no—
615C2×C4×D11—21no—
616C2×C4×D11—21no—
617C2×C4×D11—21no—
618C2×C4×D11—21no—
619C2×C4×D11—21no—
620C2×C4×D11—41no—
621C2×C4×D11—41no—
622C2×C4×D11—41no—
623C2×C4×D11—41no—
624C2×C4×D11—44no—
625C2×C4×D11C2×D411yescharacteristic
626C2×C4×D11C2×D411yescharacteristic
627C2×C4×D11C2×D411yescharacteristic
628C2×C4×D11C2×D411yescharacteristic
629C2×C4×D11C2×D411yescharacteristic
630C2×C4×D11C2×D411yescharacteristic
631C2×C4×D11C2411yescharacteristic
632C2×C4×D11C2411yescharacteristic
633C2×C4×D11C2411yescharacteristic
634C2×C4×D11C2411yescharacteristic
635C2×Dic22—21no—
636C2×Dic22C2×D411yescharacteristic
637C2×Dic22C2×D411yescharacteristic
638C2×Dic22C2×D411yescharacteristic
639C2×Dic22C2411yescharacteristic
640C11×Q16—41no—
641C11×SD16—41no—
642C11×SD16—41no—
643C11×D8—41no—
644C11×M16—41no—
645C2×C8×C11—41no—
646C2×C8×C11C2411yescharacteristic
647C2×C8×C11C2411yescharacteristic
648C2×C8×C11C2411yescharacteristic
649C2×C8×C11C2411yescharacteristic
650C11×C4⋊C4—21no—
651C11×C4⋊C4—21no—
652C11×C4⋊C4—21no—
653C11×C4⋊C4—21no—
654C11×C4⋊C4—21no—
655C11×C4⋊C4—21no—
656C11×C4⋊C4C2411yescharacteristic
657C11×C4⋊C4C2411yescharacteristic
658C11×C4⋊C4C2411yescharacteristic
659C11×C4⋊C4C2411yescharacteristic
660C11×C22⋊C4—21no—
661C11×C22⋊C4—21no—
662C11×C22⋊C4—21no—
663C11×C22⋊C4—21no—
664C11×C22⋊C4—21no—
665C11×C22⋊C4—21no—
666C11×C22⋊C4—21no—
667C11×C22⋊C4—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#4325—41no—
677#4325—41no—
678#4325—41no—
679#4324—41no—
680#4323—41no—
681#4323—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—
699(C2×D11)⋊C4—21no—
700(C2×D11)⋊C4—21no—
701(C2×D11)⋊C4—21no—
702(C2×D11)⋊C4—21no—
703(C2×D11)⋊C4—21no—
704(C2×D11)⋊C4—21no—
705(C2×D11)⋊C4—21no—
706(C2×D11)⋊C4—21no—
707C4⋊Dic11—21no—
708C4⋊Dic11—21no—
709C4⋊Dic11—21no—
710C4⋊Dic11C2411yescharacteristic
711C4⋊Dic11C2411yescharacteristic
712C4⋊Dic11C2411yescharacteristic
713C4⋊Dic11C2411yescharacteristic
714Dic11⋊C4—21no—
715Dic11⋊C4—21no—
716Dic11⋊C4—21no—
717Dic11⋊C4—21no—
718Dic11⋊C4—21no—
719Dic11⋊C4—21no—
720Dic11⋊C4—21no—
721Dic11⋊C4—21no—
722C4×Dic11—21no—
723C4×Dic11—21no—
724C4×Dic11—21no—
725C4×Dic11—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
735D88—41no—
736D88—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#3488—111no—
748#3449—111no—
749#3204—111no—
750#3204D1111yescharacteristic, complemented
751#3203—111no—
752#3203—111no—
753#3198—111no—
754#3198—111no—
755#3198—111no—
756#3198—111no—
757#3197—111no—
758#3197—111no—
759#3194—111no—
760#3194—111no—
761#3191—111no—
762#3191—111no—
763#3188—111no—
764#3188—111no—
765#3097—111no—
766#3096—111no—
767#3094—111no—
768#3091—111no—
769#3063—111no—
770#3062—111no—
771#3058—111no—
772#3057—111no—
773#3009—111no—
774#3008—111no—
775#3005—111no—
776C2×#449—111no—
777#2880—111no—
778C23×C11—21no—
779C23×C11—21no—
780C23×C11C22×D411yescharacteristic
781C23×C11C22×D411yescharacteristic
782C23×C11C22×D411yescharacteristic
783C22×D11—22no—
784C22×D11—21no—
785C22×D11—21no—
786C22×D11—21no—
787C22×D11—41no—
788C22×D11—41no—
789C22×D11—41no—
790C22×D11—41no—
791C22×D11—41no—
792C22×D11—41no—
793C22×D11—41no—
794C22×D11—41no—
795C22×D11—42no—
796C22×D11—42no—
797C22×D11—42no—
798C22×D11—42no—
799C22×D11—81no—
800C22×D11—81no—
801C22×D11—81no—
802C22×D11—81no—
803C22×D11—81no—
804C22×D11—81no—
805C22×D11—81no—
806C22×D11—81no—
807C22×D11C22×D411yescharacteristic
808C22×D11C22×D411yescharacteristic
809C22×D11C22×D411yescharacteristic
810C22×D11C22×D411yescharacteristic
811Q8×C11—21no—
812Q8×C11—21no—
813Q8×C11—21no—
814Q8×C11—21no—
815Q8×C11—41no—
816D4×C11—21no—
817D4×C11—21no—
818D4×C11—21no—
819D4×C11—21no—
820D4×C11—41no—
821D4×C11—41no—
822D4×C11—41no—
823D4×C11—42no—
824D4×C11—42no—
825D4×C11—81no—
826D4×C11—81no—
827D4×C11—81no—
828D4×C11—81no—
829C2×C4×C11—21no—
830C2×C4×C11—21no—
831C2×C4×C11—21no—
832C2×C4×C11—21no—
833C2×C4×C11—21no—
834C2×C4×C11—21no—
835C2×C4×C11—21no—
836C2×C4×C11—21no—
837C2×C4×C11—21no—
838C2×C4×C11—21no—
839C2×C4×C11—21no—
840C2×C4×C11—21no—
841C2×C4×C11—42no—
842C2×C4×C11—42no—
843C2×C4×C11—81no—
844C2×C4×C11—81no—
845C2×C4×C11C22×D411yescharacteristic
846C2×C4×C11C22×D411yescharacteristic
847C2×C4×C11C22×D411yescharacteristic
848C2×C4×C11C2511yescharacteristic
849C22⋊D11—22no—
850C22⋊D11—22no—
851C22⋊D11—22no—
852C22⋊D11—22no—
853C22⋊D11—41no—
854C22⋊D11—41no—
855C22⋊D11—42no—
856C22⋊D11—42no—
857C22⋊D11—42no—
858C22⋊D11—42no—
859C22⋊D11—42no—
860C22⋊D11—42no—
861C22⋊D11—81no—
862C22⋊D11—81no—
863C22⋊D11—81no—
864C22⋊D11—81no—
865C22⋊D11—81no—
866C22⋊D11—81no—
867C22⋊D11—81no—
868C22⋊D11—81no—
869C22⋊D11—81no—
870C2×Dic11—22no—
871C2×Dic11—21no—
872C2×Dic11—21no—
873C2×Dic11—21no—
874C2×Dic11—21no—
875C2×Dic11—21no—
876C2×Dic11—41no—
877C2×Dic11—41no—
878C2×Dic11—42no—
879C2×Dic11—81no—
880C2×Dic11C22×D411yescharacteristic
881C2×Dic11C22×D411yescharacteristic
882C2×Dic11C22×D411yescharacteristic
883C2×Dic11C22×D411yescharacteristic
884D44—22no—
885D44—22no—
886D44—21no—
887D44—21no—
888D44—21no—
889D44—21no—
890D44—21no—
891D44—21no—
892D44—41no—
893D44—42no—
894D44—42no—
895D44—42no—
896D44—42no—
897D44—42no—
898D44—42no—
899D44—81no—
900D44—81no—
901D44—81no—
902D44—81no—
903C4×D11—22no—
904C4×D11—21no—
905C4×D11—21no—
906C4×D11—21no—
907C4×D11—21no—
908C4×D11—21no—
909C4×D11—21no—
910C4×D11—22no—
911C4×D11—41no—
912C4×D11—41no—
913C4×D11—41no—
914C4×D11—41no—
915C4×D11—42no—
916C4×D11—42no—
917C4×D11—42no—
918C4×D11—42no—
919C4×D11—42no—
920C4×D11—81no—
921C4×D11—81no—
922C4×D11H(5,𝔽2)12yes—
923C4×D11H(5,𝔽2)12yes—
924Dic22—22no—
925Dic22—22no—
926Dic22—21no—
927Dic22—21no—
928Dic22—41no—
929Dic22—42no—
930C8×C11—21no—
931C8×C11—21no—
932C8×C11—21no—
933C8×C11—21no—
934C11⋊C8—21no—
935C11⋊C8—21no—
936C11⋊C8—21no—
937C11⋊C8—21no—
938C2×H(5,𝔽2)—111no—
939C22×#41—111no—
940C22×#41—111no—
941C2×#137—111no—
942C2×AGL(1,ℤ/8)—111no—
943C22×SD16—111no—
944C22×D8—111no—
945C2×#131—111no—
946C2×#131—111no—
947#550—221no—
948#548—221no—
949#546—221no—
950#546—221no—
951#546—221no—
952D42—221no—
953D42—221no—
954D42—221no—
955#537—111no—
956#537—111no—
957#537—111no—
958#537—111no—
959#537—111no—
960#537C2×D1111yescharacteristic, complemented
961#537C2×D1111yescharacteristic, complemented
962#536—111no—
963#536—111no—
964#536—221no—
965#535—111no—
966#535—111no—
967#535—111no—
968#535—111no—
969#535—111no—
970#535—221no—
971#534—221no—
972#534—221no—
973#532—221no—
974#532—221no—
975#525—111no—
976#525—111no—
977#525—111no—
978#525—111no—
979#525—111no—
980#525—111no—
981#525—111no—
982#525—221no—
983#525—221no—
984C2×#121—111no—
985C2×#121—111no—
986C2×#121—111no—
987#520—111no—
988C2×#117—111no—
989#485—111no—
990#485—111no—
991#485—111no—
992#485—111no—
993#485—111no—
994#485—111no—
995#484—111no—
996#484—111no—
997#484—111no—
998#483—111no—
999#483C2×D1111yescharacteristic, complemented
1000#483C2×D1111yescharacteristic, complemented
1001#482—111no—
1002#482—111no—
1003#482—111no—
1004#482—111no—
1005#482—111no—
1006#482—111no—
1007#482—111no—
1008#482—111no—
1009#482—111no—
1010#482—111no—
1011#481—111no—
1012#481—111no—
1013#481—111no—
1014#481C2×D1111yescharacteristic, complemented
1015#481C2×D1111yescharacteristic, complemented
1016#480—111no—
1017#480—111no—
1018#480—111no—
1019#480—111no—
1020#480—111no—
1021#470—111no—
1022#470C2×D1111yescharacteristic, complemented
1023#469—111no—
1024#469—111no—
1025#469—111no—
1026#469—111no—
1027#469—111no—
1028#469C2×D1111yescharacteristic, complemented
1029#468—111no—
1030#468—111no—
1031#468—111no—
1032#468—111no—
1033#468—111no—
1034#468—111no—
1035#468—111no—
1036#468—111no—
1037#467—111no—
1038#467—111no—
1039#466—111no—
1040#466—111no—
1041#466—111no—
1042#466—111no—
1043#466—111no—
1044#466—111no—
1045#465—111no—
1046#465—111no—
1047#465—111no—
1048#465—111no—
1049#465—111no—
1050#465—111no—
1051#465C2×D1111yescharacteristic, complemented
1052#465C2×D1111yescharacteristic, complemented
1053#452—111no—
1054#452—111no—
1055#452—111no—
1056#452—111no—
1057#452—111no—
1058#452—111no—
1059#452C2×D1111yescharacteristic, complemented
1060#452C2×D1111yescharacteristic, complemented
1061#450—111no—
1062#450—111no—
1063#450—111no—
1064#450—111no—
1065#449—111no—
1066#449—111no—
1067#449—111no—
1068#449—111no—
1069#449—111no—
1070#449—111no—
1071#449—111no—
1072#449—111no—
1073#449—111no—
1074#449—111no—
1075#449—111no—
1076#449—111no—
1077#449—111no—
1078#449—111no—
1079#449C2×D1111yescharacteristic, complemented
1080#449C2×D1111yescharacteristic, complemented
1081#447—111no—
1082#447—111no—
1083#447—111no—
1084#447—111no—
1085#428—111no—
1086#428—111no—
1087#427—111no—
1088#427—111no—
1089#419—111no—
1090#418—111no—
1091#418—111no—
1092#418—111no—
1093#416—111no—
1094#416—111no—
1095C2×#103—111no—
1096C2×#102—111no—
1097#408—111no—
1098#408—111no—
1099#408—111no—
1100#408—111no—
1101#408—111no—
1102#408C2×D1111yescharacteristic, complemented
1103#407—111no—
1104#407—111no—
1105#407—111no—
1106C2×C22⋊C8—111no—
1107C2×C22⋊C8—111no—
1108C2×C22⋊C8—111no—
1109C22×C11—21no—
1110C22×C11—21no—
1111C22×C11—21no—
1112C22×C11—21no—
1113C22×C11—21no—
1114C22×C11—21no—
1115C22×C11—21no—
1116C22×C11—21no—
1117C22×C11—21no—
1118C22×C11—41no—
1119C22×C11—41no—
1120C22×C11—41no—
1121C22×C11—41no—
1122C22×C11—41no—
1123C22×C11—41no—
1124C22×C11C23×D411yescharacteristic
1125C2×D11—21no—
1126C2×D11—21no—
1127C2×D11—21no—
1128C2×D11—21no—
1129C2×D11—21no—
1130C2×D11—21no—
1131C2×D11—21no—
1132C2×D11—21no—
1133C2×D11—21no—
1134C2×D11—21no—
1135C2×D11—21no—
1136C2×D11—41no—
1137C2×D11—41no—
1138C2×D11—41no—
1139C2×D11—41no—
1140C2×D11—41no—
1141C2×D11—41no—
1142C2×D11—41no—
1143C2×D11—41no—
1144C2×D11—41no—
1145C2×D11—82no—
1146C2×D11—84no—
1147C2×D11—82no—
1148C2×D11—82no—
1149C2×D11—162no—
1150C2×D11—162no—
1151C2×D11—162no—
1152C2×D11#53412yes—
1153C4×C11—21no—
1154C4×C11—21no—
1155C4×C11—21no—
1156C4×C11—41no—
1157C4×C11—41no—
1158C4×C11—41no—
1159C4×C11—41no—
1160C4×C11—41no—
1161C4×C11—41no—
1162C4×C11C2×H(5,𝔽2)11yescharacteristic
1163C4×C11C2×H(5,𝔽2)11yescharacteristic
1164Dic11—21no—
1165Dic11—21no—
1166Dic11—21no—
1167Dic11—41no—
1168Dic11—41no—
1169Dic11—41no—
1170Dic11—41no—
1171Dic11—41no—
1172Dic11#53412yes—
1173H(5,𝔽2)—442no—
1174H(5,𝔽2)—442no—
1175C2×#41—111no—
1176C2×#41—111no—
1177C2×#41—111no—
1178C2×#41—111no—
1179C2×#41—111no—
1180C2×#41—111no—
1181C2×#41—111no—
1182C2×#41—111no—
1183C2×#41—111no—
1184C2×#41—111no—
1185C2×#41—111no—
1186C2×#41—111no—
1187C2×#41—221no—
1188C2×#41—221no—
1189C2×#41—221no—
1190C2×#41—442no—
1191C2×#41—442no—
1192C2×#41—442no—
1193C2×#41—442no—
1194C2×#41C22×D1111yescharacteristic
1195C2×#41C22×D1111yescharacteristic
1196C2×#41C22×D1111yescharacteristic
1197C22×Q8—111no—
1198C22×Q8—111no—
1199C22×D4—111no—
1200C22×D4—111no—
1201C22×D4—111no—
1202C22×D4—111no—
1203C22×D4—111no—
1204C22×D4—111no—
1205C22×D4—111no—
1206C22×D4—221no—
1207C22×D4—221no—
1208C22×D4—221no—
1209C22×D4—221no—
1210C22×D4—221no—
1211C22×D4—221no—
1212C22×D4—221no—
1213C23×C4—111no—
1214C23×C4—111no—
1215C23×C4—111no—
1216C23×C4—221no—
1217#137—442no—
1218AGL(1,ℤ/8)—442no—
1219C2×Q16—111no—
1220C2×Q16C22×D1111yescharacteristic
1221C2×SD16—111no—
1222C2×SD16—111no—
1223C2×SD16—111no—
1224C2×SD16—111no—
1225C2×SD16—111no—
1226C2×SD16—111no—
1227C2×SD16—442no—
1228C2×SD16C22×D1111yescharacteristic
1229C2×SD16C22×D1111yescharacteristic
1230C2×D8—111no—
1231C2×D8—111no—
1232C2×D8—111no—
1233C2×D8—111no—
1234C2×D8—111no—
1235C2×D8—442no—
1236C2×D8C22×D1111yescharacteristic
1237#131—442no—
1238#131—442no—
1239C2×M16—111no—
1240C2×M16—111no—
1241C2×M16—111no—
1242C2×M16—111no—
1243C2×M16—111no—
1244C2×M16C22×D1111yescharacteristic
1245C22×C8—111no—
1246C22×C8—111no—
1247C22×C8—111no—
1248C22×C8—111no—
1249C22×C8—111no—
1250C22×C8C22×D1111yescharacteristic
1251C4⋊Q8—221no—
1252C4⋊Q8—221no—
1253#127—221no—
1254#127—221no—
1255#127—221no—
1256#127—221no—
1257#127—221no—
1258#124—221no—
1259#124—221no—
1260#124—221no—
1261#124—221no—
1262#124—221no—
1263#124—221no—
1264#124—221no—
1265#123—221no—
1266#123—221no—
1267#123—221no—
1268#123—221no—
1269#123—221no—
1270#123—221no—
1271#123—221no—
1272#123—221no—
1273#123—221no—
1274#123—221no—
1275#123—221no—
1276C22⋊Q8—21no—
1277C22⋊Q8—21no—
1278C22⋊Q8—111no—
1279C22⋊Q8—111no—
1280C22⋊Q8—111no—
1281C22⋊Q8—111no—
1282C22⋊Q8—111no—
1283C22⋊Q8—111no—
1284C22⋊Q8—111no—
1285C22⋊Q8—111no—
1286C22⋊Q8—221no—
1287C22⋊Q8—221no—
1288C22⋊Q8—221no—
1289C22⋊Q8—221no—
1290C22⋊Q8—221no—
1291C22⋊Q8C22×D1111yescharacteristic
1292C22⋊Q8C22×D1111yescharacteristic
1293C22⋊Q8C22×D1111yescharacteristic
1294C22⋊Q8C22×D1111yescharacteristic
1295#121—21no—
1296#121—21no—
1297#121—21no—
1298#121—21no—
1299#121—21no—
1300#121—21no—
1301#121—111no—
1302#121—111no—
1303#121—111no—
1304#121—111no—
1305#121—111no—
1306#121—111no—
1307#121—111no—
1308#121—111no—
1309#121—111no—
1310#121—111no—
1311#121—111no—
1312#121—111no—
1313#121—111no—
1314#121—111no—
1315#121—111no—
1316#121—111no—
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#121—221no—
1336#121—221no—
1337#121—221no—
1338#121C22×D1111yescharacteristic
1339#121C22×D1111yescharacteristic
1340#121C22×D1111yescharacteristic
1341#121C22×D1111yescharacteristic
1342#120—221no—
1343#120—221no—
1344#120—221no—
1345#120—221no—
1346#120—221no—
1347#120—221no—
1348#120—221no—
1349#120—221no—
1350#120—221no—
1351#120—221no—
1352#120—221no—
1353#120—221no—
1354#120—221no—
1355#120—221no—
1356#120—221no—
1357#120—221no—
1358#120—221no—
1359C4×Q8—221no—
1360C4×D4—221no—
1361C4×D4—221no—
1362C4×D4—221no—
1363C4×D4—221no—
1364C4×D4—221no—
1365C4×D4—221no—
1366C4×D4—221no—
1367C4×D4—221no—
1368C4×D4—221no—
1369C4×D4—221no—
1370C4×D4—221no—
1371C4×D4—221no—
1372C4×D4—221no—
1373C4×D4—221no—
1374C4×D4—221no—
1375C4×D4—221no—
1376C4×D4—221no—
1377#117—111no—
1378#117—111no—
1379#117—111no—
1380#117—111no—
1381#117—111no—
1382#117—111no—
1383#117—111no—
1384#117—221no—
1385#117—221no—
1386C2×C4⋊C4—111no—
1387C2×C4⋊C4—111no—
1388C2×C4⋊C4—111no—
1389C2×C4⋊C4C22×D1111yescharacteristic
1390C2×C4⋊C4C22×D1111yescharacteristic
1391C2×C22⋊C4—221no—
1392C2×C22⋊C4—221no—
1393C2×C22⋊C4—221no—
1394C2×C22⋊C4—221no—
1395C2×C42—221no—
1396#107—111no—
1397#107—111no—
1398#107—111no—
1399#107—111no—
1400#107—111no—
1401#107—111no—
1402#107—111no—
1403#107—111no—
1404#106—111no—
1405#106—111no—
1406#106—111no—
1407#106—111no—
1408#106C22×D1111yescharacteristic
1409#106C22×D1111yescharacteristic
1410#106C22×D1111yescharacteristic
1411#106C22×D1111yescharacteristic
1412#103—111no—
1413#103—111no—
1414#103—111no—
1415#103—111no—
1416#103—111no—
1417#103—111no—
1418#103—111no—
1419#103—111no—
1420#103C22×D1111yescharacteristic
1421#103C22×D1111yescharacteristic
1422#103C22×D1111yescharacteristic
1423#103C22×D1111yescharacteristic
1424#102—111no—
1425#102—111no—
1426#102—111no—
1427#102—111no—
1428#102—111no—
1429#102—111no—
1430#102—111no—
1431#102—111no—
1432#102—111no—
1433#102—111no—
1434#102—111no—
1435#102—111no—
1436#102—111no—
1437#102—111no—
1438#102—111no—
1439#102—111no—
1440#102C22×D1111yescharacteristic
1441#102C22×D1111yescharacteristic
1442#102C22×D1111yescharacteristic
1443#102C22×D1111yescharacteristic
1444C22⋊C8—111no—
1445C22⋊C8—111no—
1446C22⋊C8—111no—
1447C22⋊C8—111no—
1448C22⋊C8—111no—
1449C22⋊C8—111no—
1450C22⋊C8—111no—
1451C22⋊C8—111no—
1452C22⋊C8—111no—
1453C22⋊C8—111no—
1454C22⋊C8—111no—
1455C22⋊C8—111no—
1456C22⋊C8C22×D1111yescharacteristic
1457C22⋊C8C22×D1111yescharacteristic
1458C22⋊C8C22×D1111yescharacteristic
1459C22⋊C8C22×D1111yescharacteristic
1460C2×C11—41no—
1461C2×C11—41no—
1462C2×C11—41no—
1463C2×C11—81no—
1464C2×C11—81no—
1465C2×C11C2×#53411yescharacteristic
1466C2×C11#358411yescharacteristic
1467C2×C11#358511yescharacteristic
1468D11—22no—
1469D11—41no—
1470D11—41no—
1471D11—41no—
1472D11—81no—
1473D11—81no—
1474D11—81no—
1475C24—111no—
1476C24—111no—
1477C24—111no—
1478C24—221no—
1479C24—221no—
1480C24—221no—
1481C24—221no—
1482#41—41no—
1483#41—41no—
1484#41—41no—
1485#41—41no—
1486#41—41no—
1487#41—41no—
1488#41—222no—
1489#41—222no—
1490#41—222no—
1491#41—222no—
1492#41—222no—
1493#41—222no—
1494#41—441no—
1495#41—441no—
1496#41—441no—
1497#41—441no—
1498#41—444no—
1499#41—444no—
1500#41—441no—
1501#41—441no—
1502#41—442no—
1503#41—442no—
1504#41—442no—
1505#41—444no—
1506#41—442no—
1507#41—441no—
1508#41—441no—
1509#41—441no—
1510#41—441no—
1511C2×Q8—111no—
1512C2×Q8—111no—
1513C2×Q8—111no—
1514C2×Q8—111no—
1515C2×Q8—221no—
1516C2×Q8—222no—
1517C2×Q8—222no—
1518C2×Q8—442no—
1519C2×Q8D4×D1111yescharacteristic
1520C2×Q8C23×D1111yescharacteristic
1521C2×Q8C23×D1111yescharacteristic
1522C2×D4—21no—
1523C2×D4—21no—
1524C2×D4—21no—
1525C2×D4—21no—
1526C2×D4—21no—
1527C2×D4—21no—
1528C2×D4—111no—
1529C2×D4—111no—
1530C2×D4—111no—
1531C2×D4—111no—
1532C2×D4—111no—
1533C2×D4—111no—
1534C2×D4—111no—
1535C2×D4—111no—
1536C2×D4—111no—
1537C2×D4—111no—
1538C2×D4—111no—
1539C2×D4—111no—
1540C2×D4—221no—
1541C2×D4—221no—
1542C2×D4—221no—
1543C2×D4—221no—
1544C2×D4—221no—
1545C2×D4—221no—
1546C2×D4—221no—
1547C2×D4—221no—
1548C2×D4—221no—
1549C2×D4—222no—
1550C2×D4—222no—
1551C2×D4—222no—
1552C2×D4—222no—
1553C2×D4—221no—
1554C2×D4—221no—
1555C2×D4—221no—
1556C2×D4—221no—
1557C2×D4—221no—
1558C2×D4—221no—
1559C2×D4—221no—
1560C2×D4—221no—
1561C2×D4—221no—
1562C2×D4—221no—
1563C2×D4—221no—
1564C2×D4—221no—
1565C2×D4—221no—
1566C2×D4—221no—
1567C2×D4—221no—
1568C2×D4—221no—
1569C2×D4—441no—
1570C2×D4—441no—
1571C2×D4—444no—
1572C2×D4—441no—
1573C2×D4—441no—
1574C2×D4—442no—
1575C2×D4—442no—
1576C2×D4—442no—
1577C2×D4—444no—
1578C2×D4—444no—
1579C2×D4—444no—
1580C2×D4—882no—
1581C2×D4—882no—
1582C2×D4—882no—
1583C2×D4D4×D1111yescharacteristic
1584C2×D4D4×D1111yescharacteristic
1585C2×D4D4×D1111yescharacteristic
1586C2×D4C23×D1111yescharacteristic
1587C2×D4C23×D1111yescharacteristic
1588C22×C4—21no—
1589C22×C4—21no—
1590C22×C4—21no—
1591C22×C4—21no—
1592C22×C4—111no—
1593C22×C4—111no—
1594C22×C4—111no—
1595C22×C4—111no—
1596C22×C4—111no—
1597C22×C4—111no—
1598C22×C4—111no—
1599C22×C4—111no—
1600C22×C4—111no—
1601C22×C4—111no—
1602C22×C4—111no—
1603C22×C4—111no—
1604C22×C4—111no—
1605C22×C4—222no—
1606C22×C4—222no—
1607C22×C4—221no—
1608C22×C4—221no—
1609C22×C4—221no—
1610C22×C4—221no—
1611C22×C4—221no—
1612C22×C4—221no—
1613C22×C4—221no—
1614C22×C4—221no—
1615C22×C4—221no—
1616C22×C4—441no—
1617C22×C4—441no—
1618C22×C4—441no—
1619C22×C4—441no—
1620C22×C4—444no—
1621C22×C4C23×D1111yescharacteristic
1622C22×C4C23×D1111yescharacteristic
1623C22×C4C23×D1111yescharacteristic
1624Q16—41no—
1625Q16—441no—
1626SD16—41no—
1627SD16—41no—
1628SD16—441no—
1629SD16—441no—
1630SD16—441no—
1631SD16—441no—
1632SD16—441no—
1633SD16—441no—
1634D8—41no—
1635D8—441no—
1636D8—441no—
1637D8—441no—
1638D8—441no—
1639D8—441no—
1640M16—41no—
1641M16—222no—
1642M16—222no—
1643M16—441no—
1644M16—441no—
1645M16—441no—
1646C2×C8—41no—
1647C2×C8—111no—
1648C2×C8—111no—
1649C2×C8—111no—
1650C2×C8—111no—
1651C2×C8—222no—
1652C2×C8—222no—
1653C2×C8—441no—
1654C2×C8—441no—
1655C2×C8—441no—
1656C2×C8C23×D1111yescharacteristic
1657C2×C8C23×D1111yescharacteristic
1658C2×C8C23×D1111yescharacteristic
1659C2×C8C23×D1111yescharacteristic
1660C4⋊C4—21no—
1661C4⋊C4—21no—
1662C4⋊C4—21no—
1663C4⋊C4—21no—
1664C4⋊C4—21no—
1665C4⋊C4—21no—
1666C4⋊C4—111no—
1667C4⋊C4—111no—
1668C4⋊C4—111no—
1669C4⋊C4—111no—
1670C4⋊C4—221no—
1671C4⋊C4—221no—
1672C4⋊C4—221no—
1673C4⋊C4—221no—
1674C4⋊C4—221no—
1675C4⋊C4—221no—
1676C4⋊C4—221no—
1677C4⋊C4—221no—
1678C4⋊C4—221no—
1679C4⋊C4—221no—
1680C4⋊C4—221no—
1681C4⋊C4C23×D1111yescharacteristic
1682C4⋊C4C23×D1111yescharacteristic
1683C4⋊C4C23×D1111yescharacteristic
1684C4⋊C4C23×D1111yescharacteristic
1685C22⋊C4—21no—
1686C22⋊C4—21no—
1687C22⋊C4—21no—
1688C22⋊C4—21no—
1689C22⋊C4—21no—
1690C22⋊C4—21no—
1691C22⋊C4—21no—
1692C22⋊C4—21no—
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—
1709C22⋊C4—221no—
1710C22⋊C4—221no—
1711C22⋊C4—221no—
1712C22⋊C4—221no—
1713C22⋊C4—221no—
1714C22⋊C4—221no—
1715C22⋊C4—221no—
1716C22⋊C4—221no—
1717C22⋊C4—221no—
1718C22⋊C4—221no—
1719C22⋊C4—221no—
1720C22⋊C4—221no—
1721C22⋊C4—221no—
1722C22⋊C4—221no—
1723C22⋊C4—221no—
1724C42—221no—
1725C42—221no—
1726C42—221no—
1727C42—221no—
1728C42—221no—
1729C42—221no—
1730C42—221no—
1731C11#6076011yescharacteristic, complemented, Sylow
1732C23—21no—
1733C23—21no—
1734C23—111no—
1735C23—111no—
1736C23—111no—
1737C23—111no—
1738C23—222no—
1739C23—221no—
1740C23—221no—
1741C23—221no—
1742C23—441no—
1743C23—441no—
1744C23—441no—
1745C23—441no—
1746C23—441no—
1747C23—441no—
1748C23—441no—
1749C23—441no—
1750C23—442no—
1751C23—442no—
1752C23—442no—
1753C23—442no—
1754C23—881no—
1755C23—881no—
1756C23—881no—
1757C23—881no—
1758C23—881no—
1759C23—881no—
1760C23—881no—
1761C23—881no—
1762C23C2×D4×D1111yescharacteristic
1763C23C2×D4×D1111yescharacteristic
1764C23C2×D4×D1111yescharacteristic
1765Q8—21no—
1766Q8—21no—
1767Q8—21no—
1768Q8—21no—
1769Q8—41no—
1770Q8—222no—
1771Q8—222no—
1772Q8—221no—
1773Q8—221no—
1774Q8—441no—
1775Q8—442no—
1776D4—21no—
1777D4—21no—
1778D4—21no—
1779D4—21no—
1780D4—41no—
1781D4—41no—
1782D4—41no—
1783D4—42no—
1784D4—42no—
1785D4—81no—
1786D4—81no—
1787D4—81no—
1788D4—81no—
1789D4—222no—
1790D4—222no—
1791D4—222no—
1792D4—222no—
1793D4—222no—
1794D4—222no—
1795D4—221no—
1796D4—221no—
1797D4—221no—
1798D4—221no—
1799D4—221no—
1800D4—221no—
1801D4—441no—
1802D4—442no—
1803D4—442no—
1804D4—442no—
1805D4—442no—
1806D4—442no—
1807D4—442no—
1808D4—442no—
1809D4—442no—
1810D4—441no—
1811D4—441no—
1812D4—442no—
1813D4—442no—
1814D4—442no—
1815D4—442no—
1816D4—881no—
1817D4—881no—
1818D4—881no—
1819D4—881no—
1820D4—881no—
1821D4—881no—
1822D4—881no—
1823D4—881no—
1824D4—881no—
1825D4—881no—
1826D4—881no—
1827D4—881no—
1828D4—881no—
1829C2×C4—21no—
1830C2×C4—21no—
1831C2×C4—21no—
1832C2×C4—21no—
1833C2×C4—21no—
1834C2×C4—21no—
1835C2×C4—21no—
1836C2×C4—21no—
1837C2×C4—21no—
1838C2×C4—21no—
1839C2×C4—21no—
1840C2×C4—21no—
1841C2×C4—42no—
1842C2×C4—42no—
1843C2×C4—81no—
1844C2×C4—81no—
1845C2×C4—111no—
1846C2×C4—112no—
1847C2×C4—112no—
1848C2×C4—111no—
1849C2×C4—111no—
1850C2×C4—111no—
1851C2×C4—222no—
1852C2×C4—222no—
1853C2×C4—222no—
1854C2×C4—221no—
1855C2×C4—221no—
1856C2×C4—221no—
1857C2×C4—221no—
1858C2×C4—221no—
1859C2×C4—221no—
1860C2×C4—221no—
1861C2×C4—221no—
1862C2×C4—221no—
1863C2×C4—221no—
1864C2×C4—221no—
1865C2×C4—441no—
1866C2×C4—441no—
1867C2×C4—441no—
1868C2×C4—441no—
1869C2×C4—442no—
1870C2×C4—442no—
1871C2×C4—442no—
1872C2×C4—442no—
1873C2×C4—442no—
1874C2×C4—441no—
1875C2×C4—441no—
1876C2×C4—442no—
1877C2×C4—881no—
1878C2×C4—881no—
1879C2×C4—881no—
1880C2×C4C2×D4×D1111yescharacteristic
1881C2×C4C2×D4×D1111yescharacteristic
1882C2×C4C2×D4×D1111yescharacteristic
1883C2×C4C24×D1111yescharacteristic
1884C8—21no—
1885C8—21no—
1886C8—21no—
1887C8—21no—
1888C8—221no—
1889C8—221no—
1890C8—221no—
1891C8—221no—
1892C22—21no—
1893C22—21no—
1894C22—21no—
1895C22—21no—
1896C22—21no—
1897C22—21no—
1898C22—21no—
1899C22—21no—
1900C22—21no—
1901C22—41no—
1902C22—41no—
1903C22—41no—
1904C22—41no—
1905C22—41no—
1906C22—41no—
1907C22—112no—
1908C22—221no—
1909C22—221no—
1910C22—221no—
1911C22—221no—
1912C22—221no—
1913C22—221no—
1914C22—221no—
1915C22—221no—
1916C22—221no—
1917C22—221no—
1918C22—221no—
1919C22—441no—
1920C22—441no—
1921C22—441no—
1922C22—441no—
1923C22—441no—
1924C22—441no—
1925C22—441no—
1926C22—441no—
1927C22—441no—
1928C22—882no—
1929C22—882no—
1930C22—882no—
1931C22—884no—
1932C22—1762no—
1933C22—1762no—
1934C22—1762no—
1935C22C22×D4×D1111yescharacteristic
1936C4—21no—
1937C4—21no—
1938C4—21no—
1939C4—41no—
1940C4—41no—
1941C4—41no—
1942C4—41no—
1943C4—41no—
1944C4—41no—
1945C4—112no—
1946C4—221no—
1947C4—221no—
1948C4—221no—
1949C4—441no—
1950C4—441no—
1951C4—441no—
1952C4—441no—
1953C4—441no—
1954C4D11×H(5,𝔽2)11yescharacteristic
1955C4D11×H(5,𝔽2)11yescharacteristic
1956C2—41no—
1957C2—41no—
1958C2—41no—
1959C2—81no—
1960C2—81no—
1961C2—222no—
1962C2—441no—
1963C2—441no—
1964C2—441no—
1965C2—881no—
1966C2—881no—
1967C2—881no—
1968C2D11×#53411yescharacteristic
1969C2#1308338811yescharacteristic
1970C2#1308339411yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3204C2
socleC22×C11C23×D4
hypercenter#3204D11
hypocenterC11#60760
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. #13082280C2semidirect
2. #13081944C2semidirect
3. #13079526C2semidirect
4. #13079517C2semidirect
5. #13079513C2semidirect
6. #13079473C2semidirect
7. #13079470C2semidirect
8. #13079467C2semidirect
9. #13079462C2semidirect
10. #13079459C2semidirect
11. #13079455C2semidirect
12. #13079435C2semidirect
13. #13079425C2semidirect
14. #13079408C2semidirect
15. #13079405C2semidirect
16. #13079382C2semidirect
17. #13079380C2semidirect
18. #13078578C2semidirect
19. #13078573C2semidirect
20. #13078553C2semidirect
21. #13078530C2semidirect
22. #13078304C2semidirect
23. #13078289C2semidirect
24. #13078262C2semidirect
25. #13078250C2semidirect
26. #13077890C2semidirect
27. #13077881C2semidirect
28. #13077859C2semidirect
29. D11×#449C2semidirect
30. #13077064C2semidirect
31. C11×#3204C2semidirect
34. C2×#41×D11C22semidirect
35. C11×#537C22semidirect
36. C11×#537C22semidirect
37. #10623364C22semidirect
38. #10623364C22semidirect
39. #10623361C22semidirect
40. #10623359C22semidirect
41. C2×#66971C22semidirect
42. C2×#66967C22semidirect
43. C2×SD16×D11C22semidirect
44. C2×D8×D11C22semidirect
45. C2×#66960C22semidirect
46. C2×#66954C22semidirect
50. #10623160C22semidirect
53. #10623159C22semidirect
56. #10623158C22semidirect
57. #10623158C22semidirect
58. #10623158C22semidirect
67. #10623138C22semidirect
68. #10623138C22semidirect
70. #10623137C22semidirect
71. #10623137C22semidirect
75. D11×#121C22semidirect
79. #10623041C22semidirect
80. C2×#66948C22semidirect
82. C2×#66945C22semidirect
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. #10622851C22semidirect
98. #10622851C22semidirect
99. #10622851C22semidirect
100. #10622847C22semidirect
101. #10622801C22semidirect
102. #10622800C22semidirect
103. #10622800C22semidirect
104. #10622787C22semidirect
105. #10622786C22semidirect
106. #10622785C22semidirect
107. #10622785C22semidirect
108. #10622784C22semidirect
109. #10622782C22semidirect
110. #10622772C22semidirect
111. #10622771C22semidirect
112. #10622769C22semidirect
113. #10622748C22semidirect
114. #10622747C22semidirect
115. #10622739C22semidirect
116. #10622728C22semidirect
117. #10622727C22semidirect
118. C2×(C2×D11)⋊C8C22semidirect
119. #10622664C22semidirect
120. #10622662C22semidirect
121. #10622662C22semidirect
122. #10622661C22semidirect
123. #10622660C22semidirect
124. #10622659C22semidirect
125. #10622658C22semidirect
126. #10622657C22semidirect
127. #10622655C22semidirect
128. #10622652C22semidirect
129. #10622651C22semidirect
130. #10622651C22semidirect
131. #10622650C22semidirect
132. #10622649C22semidirect
133. #10622648C22semidirect
134. #10622646C22semidirect
135. #10622583C22semidirect
136. #10622581C22semidirect
137. #10622580C22semidirect
138. #10622580C22semidirect
139. #10622480C22semidirect
140. #10622479C22semidirect
141. #10622479C22semidirect
142. #10622479C22semidirect
143. #10622479C22semidirect
144. #10622479C22semidirect
145. #10622478C22semidirect
146. #10622478C22semidirect
147. #10622477C22semidirect
148. #10622477C22semidirect
149. #10622476C22semidirect
150. #10622475C22semidirect
151. #10622474C22semidirect
152. #10622474C22semidirect
153. #10622473C22semidirect
154. #10622473C22semidirect
155. #10622429C22semidirect
156. #10622428C22semidirect
157. #10622428C22semidirect
158. #10622428C22semidirect
159. #10622425C22semidirect
160. #10622425C22semidirect
161. #10622424C22semidirect
162. #10622424C22semidirect
163. #10622424C22semidirect
164. #10622423C22semidirect
165. #10622422C22semidirect
166. #10622420C22semidirect
167. #10622417C22semidirect
168. #10622417C22semidirect
169. #10622415C22semidirect
170. D11×#103C22semidirect
171. #10622397C22semidirect
172. #10622397C22semidirect
173. #10622394C22semidirect
174. #10622394C22semidirect
175. #10622393C22semidirect
176. #10622392C22semidirect
177. #10622389C22semidirect
178. #10622388C22semidirect
179. #10622388C22semidirect
180. #10622388C22semidirect
181. #10622387C22semidirect
182. #10622386C22semidirect
183. #10622383C22semidirect
184. #10622383C22semidirect
185. #10622383C22semidirect
186. D11×#102C22semidirect
187. #10622350C22semidirect
188. #10622349C22semidirect
189. #10622348C22semidirect
190. #10622347C22semidirect
191. #10622347C22semidirect
192. #10622345C22semidirect
193. #10622344C22semidirect
196. #10622340C22semidirect
197. #10622340C22semidirect
198. #10622339C22semidirect
199. #10622339C22semidirect
200. D11×C22⋊C8C22semidirect
201. D11×C22⋊C8C22semidirect
202. #10622336C22semidirect
750. #3204D11semidirect
960. #537C2×D11semidirect
961. #537C2×D11semidirect
999. #483C2×D11semidirect
1000. #483C2×D11semidirect
1014. #481C2×D11semidirect
1015. #481C2×D11semidirect
1022. #470C2×D11semidirect
1028. #469C2×D11semidirect
1051. #465C2×D11semidirect
1052. #465C2×D11semidirect
1059. #452C2×D11semidirect
1060. #452C2×D11semidirect
1079. #449C2×D11semidirect
1080. #449C2×D11semidirect
1102. #408C2×D11semidirect
1731. C11#60760semidirect

Maximal subgroups

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

subgroupindex
#130822802
#130819442
#130795262
#130795172
#130795132
#130794732
#130794702
#130794672
#130794622
#130794592
#130794552
#130794352
#130794252
#130794082
#130794052
#130793822
#130793802
#130785782
#130785732
#130785532
#130785302
#130783042
#130782892
#130782622
#130782502
#130778902
#130778812
#130778592
D11×#4492
#130770642
C11×#32042
#6076011