Finite Group Databasebeta

← #15639523

Subgroups — #15639523

Order 2816.

2044 conjugacy classes of subgroups.

The subgroup lattice has 1866 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082910C211yesmaximal, characteristic, complemented
2#13082273C211yesmaximal, characteristic, complemented
3#13080948C211yesmaximal, characteristic, complemented
4#13080872C211yesmaximal, characteristic, complemented
5#13080745C211yesmaximal, characteristic, complemented
6#13080681C211yesmaximal, characteristic, complemented
7#13080623C211yesmaximal, characteristic, complemented
8#13080552C211yesmaximal, characteristic, complemented
9#13080499C211yesmaximal, characteristic, complemented
10#13080352C211yesmaximal, characteristic, complemented
11#13080343C211yesmaximal, characteristic, complemented
12#13080275C211yesmaximal, characteristic, complemented
13#13080269C211yesmaximal, characteristic, complemented
14#13080206C211yesmaximal, characteristic, complemented
15#13080203C211yesmaximal, characteristic, complemented
16#13080193C211yesmaximal, characteristic, complemented
17#13080174C211yesmaximal, characteristic, complemented
18#13079711C211yesmaximal, characteristic, complemented
19#13079685C211yesmaximal, characteristic, complemented
20#13079482C211yesmaximal, characteristic, complemented
21#13079473C211yesmaximal, characteristic, complemented
22#13079459C211yesmaximal, characteristic, complemented
23#13079402C211yesmaximal, characteristic, complemented
24#13078915C211yesmaximal, characteristic, complemented
25#13078852C211yesmaximal, characteristic, complemented
26#13077936C211yesmaximal, characteristic, complemented
27#13077906C211yesmaximal, characteristic, complemented
28#13077877C211yesmaximal, characteristic, complemented
29#13077837C211yesmaximal, characteristic, complemented
30#13077663C211yesmaximal, characteristic, complemented
31C11×#3316C211yesmaximal, characteristic, complemented
32C2×#41×D11C2211yescharacteristic
33C2×#67040C2211yescharacteristic
34C11×#554C2211yescharacteristic, complemented
35C11×#548C2211yescharacteristic
36#10623365C2211yescharacteristic
37C2×#67004C2211yescharacteristic
38#10623348C2211yescharacteristic
39C2×#66995C2211yescharacteristic, complemented
40C2×#66972C2211yescharacteristic
41C2×#66971C2211yescharacteristic, complemented
42C2×Q16×D11C2211yescharacteristic, complemented
43C2×#66969C2211yescharacteristic
44C2×#66962C2211yescharacteristic
45C2×#66957C2211yescharacteristic, complemented
46#10623264C2211yescharacteristic
47#10623263C2211yescharacteristic, complemented
48#10623230—21no—
49#10623223—21no—
50#10623208—21no—
51#10623208C2211yescharacteristic
52#10623205—21no—
53#10623205C2211yescharacteristic
54#10623178—21no—
55#10623175—21no—
56#10623174—21no—
57#10623166—21no—
58#10623164—21no—
59#10623164C2211yescharacteristic
60#10623163C2211yescharacteristic, complemented
61#10623162C2211yescharacteristic, complemented
62#10623159C2211yescharacteristic
63#10623158—21no—
64#10623158C2211yescharacteristic
65#10623158C2211yescharacteristic
66#10623138—21no—
67#10623138C2211yescharacteristic
68#10623130—21no—
69#10623130C2211yescharacteristic
70#10623114C2211yescharacteristic
71#10623108C2211yescharacteristic
72#10623107C2211yescharacteristic, complemented
73#10623103C2211yescharacteristic
74#10623096—21no—
75#10623091—21no—
76#10623084—21no—
77#10623084C2211yescharacteristic
78#10623083C2211yescharacteristic, complemented
79#10623078—21no—
80#10623078C2211yescharacteristic
81#10623045C2211yescharacteristic, complemented
82#10623044C2211yescharacteristic, complemented
83#10623041C2211yescharacteristic
84C2×#66950C2211yescharacteristic
85C11×#489C2211yescharacteristic, complemented
86C11×#483C2211yescharacteristic, complemented
87C11×#481C2211yescharacteristic, complemented
88C11×#475C2211yescharacteristic, complemented
89C11×#470C2211yescharacteristic, complemented
90C11×#465C2211yescharacteristic, complemented
91C11×#464C2211yescharacteristic, complemented
92C11×#452C2211yescharacteristic
93C11×#451C2211yescharacteristic, complemented
94C11×#441C2211yescharacteristic, complemented
95C11×#435C2211yescharacteristic, complemented
96C11×#417C2211yescharacteristic
97C2×C11×#103C2211yescharacteristic, complemented
98#10622851C2211yescharacteristic
99#10622841C2211yescharacteristic, complemented
100#10622803C2211yescharacteristic, complemented
101#10622800C2211yescharacteristic
102#10622800C2211yescharacteristic, complemented
103#10622799C2211yescharacteristic
104#10622795C2211yescharacteristic, complemented
105#10622788C2211yescharacteristic, complemented
106#10622783C2211yescharacteristic, complemented
107#10622782C2211yescharacteristic
108#10622748C2211yescharacteristic, complemented
109#10622740C2211yescharacteristic, complemented
110#10622739C2211yescharacteristic
111#10622727C2211yescharacteristic, complemented
112#10622723C2211yescharacteristic
113C8×C22⋊D11C2211yescharacteristic, complemented
114#10622704C2211yescharacteristic, complemented
115#10622701C2211yescharacteristic, complemented
116#10622672C2211yescharacteristic, complemented
117#10622667C2211yescharacteristic, complemented
118#10622663C2211yescharacteristic, complemented
119#10622662C2211yescharacteristic, complemented
120#10622662C2211yescharacteristic, complemented
121#10622662C2211yescharacteristic, complemented
122#10622660C2211yescharacteristic
123#10622660C2211yescharacteristic, complemented
124#10622655C2211yescharacteristic, complemented
125#10622650C2211yescharacteristic, complemented
126C4×#4326C2211yescharacteristic, complemented
127C4×#4326C2211yescharacteristic, complemented
128#10622641C2211yescharacteristic, complemented
129#10622640C2211yescharacteristic, complemented
130#10622625C2211yescharacteristic, complemented
131#10622580C2211yescharacteristic, complemented
132#10622580C2211yescharacteristic, complemented
133#10622579C2211yescharacteristic
134#10622579C2211yescharacteristic, complemented
135#10622480C2211yescharacteristic
136#10622480C2211yescharacteristic
137#10622479C2211yescharacteristic
138#10622479C2211yescharacteristic, complemented
139#10622479C2211yescharacteristic, complemented
140#10622478C2211yescharacteristic, complemented
141#10622477C2211yescharacteristic, complemented
142#10622477C2211yescharacteristic, complemented
143#10622477C2211yescharacteristic, complemented
144#10622470C2211yescharacteristic, complemented
145#10622466C2211yescharacteristic, complemented
146#10622465C2211yescharacteristic, complemented
147#10622461C2211yescharacteristic, complemented
148#10622458C2211yescharacteristic, complemented
149#10622453C2211yescharacteristic
150#10622447C2211yescharacteristic, complemented
151#10622432C2211yescharacteristic, complemented
152#10622430C2211yescharacteristic, complemented
153#10622428C2211yescharacteristic
154#10622428C2211yescharacteristic, complemented
155#10622426C2211yescharacteristic, complemented
156#10622426C2211yescharacteristic, complemented
157#10622424C2211yescharacteristic
158#10622424C2211yescharacteristic, complemented
159#10622424C2211yescharacteristic, complemented
160#10622423C2211yescharacteristic
161#10622423C2211yescharacteristic
162#10622423C2211yescharacteristic
163#10622423C2211yescharacteristic
164#10622423C2211yescharacteristic, complemented
165#10622421C2211yescharacteristic
166#10622421C2211yescharacteristic
167#10622421C2211yescharacteristic, complemented
168#10622419C2211yescharacteristic
169#10622419C2211yescharacteristic, complemented
170#10622419C2211yescharacteristic, complemented
171#10622417C2211yescharacteristic
172#10622417C2211yescharacteristic, complemented
173#10622415C2211yescharacteristic, complemented
174#10622413C2211yescharacteristic, complemented
175#10622412C2211yescharacteristic, complemented
176#10622411C2211yescharacteristic, complemented
177#10622406C2211yescharacteristic, complemented
178#10622403C2211yescharacteristic, complemented
179#10622399C2211yescharacteristic, complemented
180#10622396C2211yescharacteristic
181#10622396C2211yescharacteristic
182#10622393C2211yescharacteristic, complemented
183#10622392C2211yescharacteristic, complemented
184#10622389C2211yescharacteristic
185#10622389C2211yescharacteristic
186#10622388C2211yescharacteristic, complemented
187#10622386C2211yescharacteristic
188#10622385C2211yescharacteristic
189#10622377C2211yescharacteristic, complemented
190#10622375C2211yescharacteristic, complemented
191#10622351C2211yescharacteristic, complemented
192#10622347C2211yescharacteristic
193#10622347C2211yescharacteristic, complemented
194#10622346C2211yescharacteristic, complemented
195#10622342C2211yescharacteristic, complemented
196#10622341C2211yescharacteristic, complemented
197#10622340C2211yescharacteristic
198D11×C22⋊C8C2211yescharacteristic
199#10622329C2211yescharacteristic, complemented
200#10622325C2211yescharacteristic, complemented
201#10622322C2211yescharacteristic
202#10622319C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C22×Q8×C11C2311yescharacteristic
205#41×D11—42no—
206#41×D11—42no—
207#67040—42no—
208#67040—42no—
209C2×#4343—21no—
210C2×#4343C2311yescharacteristic
211C2×#4343C2311yescharacteristic
212C2×#4343C2311yescharacteristic
213C2×#4343C2311yescharacteristic
214C2×Q8×D11—21no—
215C2×Q8×D11C2311yescharacteristic
216C2×Q8×D11C2311yescharacteristic
217C2×Q8×D11C2311yescharacteristic
218C2×#4341—21no—
219C2×#4341C2311yescharacteristic
220C2×D4×D11—21no—
221C2×D4×D11C2311yescharacteristic
222C2×#4339—21no—
223C2×#4339—21no—
224C2×#4339—21no—
225C2×#4339C2311yescharacteristic
226C2×#4339C2311yescharacteristic
227C2×#4339C2311yescharacteristic
228C2×#4339C2311yescharacteristic
229C22×C4×D11—21no—
230C22×C4×D11C2311yescharacteristic
231C22×Dic22C2311yescharacteristic
232C2×C11×Q16C2311yescharacteristic
233C2×C11×Q16C2311yescharacteristic
234C2×C11×SD16C2311yescharacteristic
235C2×C11×M16C2311yescharacteristic
236C22×C8×C11C2311yescharacteristic
237C11×C4⋊Q8C2311yescharacteristic
238C11×#125—21no—
239C11×#124—21no—
240C11×#124C2311yescharacteristic
241C11×C22⋊Q8—21no—
242C11×C22⋊Q8—21no—
243C11×C22⋊Q8—21no—
244C11×C22⋊Q8C2311yescharacteristic
245C11×C22⋊Q8C2311yescharacteristic
246C11×C22⋊Q8C2311yescharacteristic
247C11×#121—21no—
248C11×#121C2311yescharacteristic
249C4×Q8×C11C2311yescharacteristic
250C4×Q8×C11C2311yescharacteristic
251C4×D4×C11—21no—
252C4×D4×C11—21no—
253C4×D4×C11C2311yescharacteristic
254C2×C11×C4⋊C4C2311yescharacteristic
255C2×C11×C4⋊C4C2311yescharacteristic
256#67004—42no—
257#67000—21no—
258#67000—21no—
259#67000—21no—
260#67000C2311yescharacteristic
261#66999—21no—
262#66999—21no—
263#66999C2311yescharacteristic
264#66999C2311yescharacteristic
265Q8×Dic11—21no—
266Q8×Dic11C2311yescharacteristic
267#66997C2311yescharacteristic
268C2×#4326C2311yescharacteristic
269C2×#4326C2311yescharacteristic
270C2×#4326C2311yescharacteristic
271C2×#4326C2311yescharacteristic
272C2×#4326C2311yescharacteristic
273#66995—42no—
274C2×#4325C2311yescharacteristic
275C2×#4325C2311yescharacteristic
276C2×#4325C2311yescharacteristic
277C2×#4325C2311yescharacteristic
278#66993—21no—
279#66993—21no—
280#66993—21no—
281#66993—21no—
282#66993C2311yescharacteristic
283#66992—21no—
284#66992—21no—
285#66992D411yescharacteristic
286#66991—21no—
287#66991C2311yescharacteristic
288#66990—21no—
289#66990D411yescharacteristic
290C2×#4324C2311yescharacteristic
291C2×#4324C2311yescharacteristic
292C2×#4323C2311yescharacteristic
293#66983—21no—
294#66983—21no—
295#66983—21no—
296#66983—21no—
297#66983—21no—
298#66983C2311yescharacteristic
299#66983C2311yescharacteristic
300#66983C2311yescharacteristic
301#66982—21no—
302C4×C22⋊D11—21no—
303C4×C22⋊D11—21no—
304C4×C22⋊D11—21no—
305C4×C22⋊D11C2311yescharacteristic
306C4×C22⋊D11C2311yescharacteristic
307C2×(C2×D11)⋊C4—21no—
308#66979—21no—
309C2×C4⋊Dic11—21no—
310#66977C2311yescharacteristic
311C2×#4318C2311yescharacteristic
312C2×#4318C2311yescharacteristic
313#66972—42no—
314#66971—42no—
315Q16×D11—42no—
316#66969—42no—
317#66962—42no—
318C2×Dic44C2311yescharacteristic
319C2×Dic44C2311yescharacteristic
320#66957—42no—
321C2×D88C2311yescharacteristic
322C2×D88C2311yescharacteristic
323C2×#4314C2311yescharacteristic
324C2×#4314C2311yescharacteristic
325C2×#4314C2311yescharacteristic
326C2×#4314C2311yescharacteristic
327C2×#4314C2311yescharacteristic
328C2×#4313C2311yescharacteristic
329C2×C8×D11C2311yescharacteristic
330C2×C8×D11C2311yescharacteristic
331C2×C8×D11C2311yescharacteristic
332#66951—21no—
333#66951—21no—
334#66951—21no—
335#66951—21no—
336#66951—21no—
337#66951—21no—
338#66950—21no—
339#66950—21no—
340#66950—21no—
341#66950—21no—
342#66950C2311yescharacteristic
343#66950C2311yescharacteristic
344#66950C2311yescharacteristic
345#66950C2311yescharacteristic
346#66950C2311yescharacteristic
347#66949—21no—
348#66949—21no—
349#66949—21no—
350#66949D411yescharacteristic
351#66948—21no—
352#66948—21no—
353#66948—21no—
354#66948—21no—
355#66948C2311yescharacteristic
356#66948C2311yescharacteristic
357#66948C2311yescharacteristic
358#66948C2311yescharacteristic
359#66947—21no—
360#66947—21no—
361#66947—21no—
362#66947—21no—
363#66947—21no—
364#66947—21no—
365#66947D411yescharacteristic
366#66946—21no—
367#66946—21no—
368#66946—21no—
369#66946—21no—
370#66946C2311yescharacteristic
371#66945—21no—
372#66945C2311yescharacteristic
373#66945C2311yescharacteristic
374#66945C2311yescharacteristic
375C4⋊C4×D11—21no—
376#66943C2311yescharacteristic
377#66942—21no—
378#66942—21no—
379#66941—21no—
380#66941—21no—
381#66940—21no—
382#66940C2311yescharacteristic
383#66940C2311yescharacteristic
384#66938—21no—
385#66938—21no—
386#66938—21no—
387#66938—21no—
388#66938—21no—
389#66937—21no—
390#66937—21no—
391#66937—21no—
392#66937—21no—
393#66937—21no—
394#66937—21no—
395#66937—21no—
396#66937—21no—
397#66937D411yescharacteristic
398#66936—21no—
399#66936—21no—
400#66936D411yescharacteristic
401#66935—21no—
402#66935—21no—
403#66935—21no—
404#66935—21no—
405#66935—21no—
406#66935D411yescharacteristic
407(C22⋊D11)⋊C4—21no—
408(C22⋊D11)⋊C4—21no—
409(C22⋊D11)⋊C4—21no—
410(C22⋊D11)⋊C4—21no—
411(C22⋊D11)⋊C4—21no—
412(C22⋊D11)⋊C4—21no—
413#66931—21no—
414#66931—21no—
415#66931D411yescharacteristic
416#66929—21no—
417#66928—21no—
418#66928C2311yescharacteristic
419#66927—21no—
420#66927C2311yescharacteristic
421C4×D44—21no—
422C4×D44—21no—
423C4×D44C2311yescharacteristic
424#66925—21no—
425#66925C2311yescharacteristic
426#66923—21no—
427C4×Dic22—21no—
428C4×Dic22C2311yescharacteristic
429C4×Dic22C2311yescharacteristic
430C11×#106C2311yescharacteristic
431C11×#106C2311yescharacteristic
432C11×#106C2311yescharacteristic
433C11×C4⋊C8C2311yescharacteristic
434C11×#103C2311yescharacteristic
435C11×#103C2311yescharacteristic
436C11×#103C2311yescharacteristic
437C11×#103C2311yescharacteristic
438C11×#103C2311yescharacteristic
439C11×#103C2311yescharacteristic
440C11×#103C2311yescharacteristic
441C11×#102C2311yescharacteristic
442C11×#102C2311yescharacteristic
443C11×#102C2311yescharacteristic
444C11×C22⋊C8C2311yescharacteristic
445C11×C22⋊C8C2311yescharacteristic
446C11×#97C2311yescharacteristic
447#66899C2311yescharacteristic
448#66899C2311yescharacteristic
449#66899C2311yescharacteristic
450#66896C2311yescharacteristic
451C22⋊(C11⋊C8)C2311yescharacteristic
452C22⋊(C11⋊C8)C2311yescharacteristic
453#66885C2311yescharacteristic
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#66881C2311yescharacteristic
465#66880C2311yescharacteristic
466#66880C2311yescharacteristic
467#66880C2311yescharacteristic
468#66879C2311yescharacteristic
469Dic11⋊C8C2311yescharacteristic
470Dic11⋊C8C2311yescharacteristic
471C8×Dic11C2311yescharacteristic
472#66874C2311yescharacteristic
473#66874C2311yescharacteristic
474#66874C2311yescharacteristic
475#66874C2311yescharacteristic
476#66874C2311yescharacteristic
477#66873C2311yescharacteristic
478#66873C2311yescharacteristic
479#66873C2311yescharacteristic
480#66873C2311yescharacteristic
481#66873C2311yescharacteristic
482#66873C2311yescharacteristic
483#66873C2311yescharacteristic
484#66871C2311yescharacteristic
485#66871C2311yescharacteristic
486#66871C2311yescharacteristic
487#66871C2311yescharacteristic
488C4⋊(C11⋊C8)C2311yescharacteristic
489C4×C11⋊C8C2311yescharacteristic
490#61615—111nomaximal, Sylow
491C23×D11—21no—
492C23×D11C2×D411yescharacteristic
493C11×#41—22no—
494C11×#41—41no—
495C2×Q8×C11—21no—
496C2×Q8×C11—21no—
497C2×Q8×C11—22no—
498C2×Q8×C11—41no—
499C2×Q8×C11C2411yescharacteristic
500C2×Q8×C11C2411yescharacteristic
501C2×Q8×C11C2411yescharacteristic
502C2×D4×C11—21no—
503C2×D4×C11—21no—
504C2×D4×C11C2×D411yescharacteristic
505C2×D4×C11C2411yescharacteristic
506C22×C4×C11—21no—
507C22×C4×C11—21no—
508C22×C4×C11—21no—
509C22×C4×C11—21no—
510C22×C4×C11C2411yescharacteristic
511C22×C4×C11C2411yescharacteristic
512C2×C22⋊D11—21no—
513C2×C22⋊D11—21no—
514C2×C22⋊D11—21no—
515C2×C22⋊D11—21no—
516C2×C22⋊D11—21no—
517C2×C22⋊D11—21no—
518C2×C22⋊D11—21no—
519C2×C22⋊D11—21no—
520C2×C22⋊D11—21no—
521C2×C22⋊D11—21no—
522C2×C22⋊D11—21no—
523C2×C22⋊D11C2×D411yescharacteristic
524C2×C22⋊D11C2×D411yescharacteristic
525C2×C22⋊D11C2×D411yescharacteristic
526C2×C22⋊D11C2×D411yescharacteristic
527C22×Dic11—21no—
528C22×Dic11—21no—
529C22×Dic11C2×D411yescharacteristic
530#4343—22no—
531#4343—22no—
532#4343—41no—
533#4343—41no—
534#4343—41no—
535#4343—41no—
536#4343—41no—
537#4343—41no—
538#4343—44no—
539Q8×D11—22no—
540Q8×D11—22no—
541Q8×D11—22no—
542Q8×D11—41no—
543Q8×D11—41no—
544Q8×D11—41no—
545Q8×D11—44no—
546#4341—22no—
547#4341—41no—
548#4341—44no—
549D4×D11—41no—
550D4×D11—41no—
551D4×D11—44no—
552#4339—22no—
553#4339—22no—
554#4339—41no—
555#4339—41no—
556#4339—41no—
557#4339—41no—
558#4339—41no—
559#4339—41no—
560#4339—44no—
561#4339—44no—
562#4339—44no—
563C2×D44—21no—
564C2×D44—21no—
565C2×D44—21no—
566C2×D44—21no—
567C2×D44—21no—
568C2×D44—21no—
569C2×D44—21no—
570C2×D44—21no—
571C2×D44—21no—
572C2×D44—21no—
573C2×D44C2×D411yescharacteristic
574C2×D44C2×D411yescharacteristic
575C2×D44C2411yescharacteristic
576C2×D44C2411yescharacteristic
577C2×D44C2411yescharacteristic
578C2×C4×D11—21no—
579C2×C4×D11—21no—
580C2×C4×D11—21no—
581C2×C4×D11—21no—
582C2×C4×D11—21no—
583C2×C4×D11—21no—
584C2×C4×D11—21no—
585C2×C4×D11—21no—
586C2×C4×D11—21no—
587C2×C4×D11—21no—
588C2×C4×D11—21no—
589C2×C4×D11—41no—
590C2×C4×D11—41no—
591C2×C4×D11—44no—
592C2×C4×D11C2×D411yescharacteristic
593C2×C4×D11C2×D411yescharacteristic
594C2×C4×D11C2411yescharacteristic
595C2×C4×D11C2411yescharacteristic
596C2×C4×D11C2411yescharacteristic
597C2×Dic22—21no—
598C2×Dic22—21no—
599C2×Dic22—21no—
600C2×Dic22—21no—
601C2×Dic22—41no—
602C2×Dic22—41no—
603C2×Dic22C2×D411yescharacteristic
604C2×Dic22C2411yescharacteristic
605C2×Dic22C2411yescharacteristic
606C2×Dic22C2411yescharacteristic
607C11×Q16—22no—
608C11×Q16—41no—
609C11×SD16—41no—
610C11×M16—41no—
611C2×C8×C11—41no—
612C2×C8×C11C2411yescharacteristic
613C2×C8×C11C2411yescharacteristic
614C2×C8×C11C2411yescharacteristic
615C2×C8×C11C2411yescharacteristic
616C11×C4⋊C4—21no—
617C11×C4⋊C4—21no—
618C11×C4⋊C4—21no—
619C11×C4⋊C4—21no—
620C11×C4⋊C4—21no—
621C11×C4⋊C4—21no—
622C11×C4⋊C4—21no—
623C11×C4⋊C4—21no—
624C11×C4⋊C4C2×D411yescharacteristic
625C11×C4⋊C4C2411yescharacteristic
626C11×C4⋊C4C2411yescharacteristic
627C11×C4⋊C4C2411yescharacteristic
628C11×C4⋊C4C2411yescharacteristic
629C11×C22⋊C4—21no—
630C11×C22⋊C4—21no—
631C11×C22⋊C4—21no—
632C11×C22⋊C4—21no—
633C11×C22⋊C4—21no—
634C11×C22⋊C4—21no—
635C11×C22⋊C4C2×D411yescharacteristic
636C11×C22⋊C4C2×D411yescharacteristic
637C42×C11—21no—
638C42×C11—21no—
639C42×C11C2411yescharacteristic
640C22⋊Dic11—21no—
641C22⋊Dic11—21no—
642C22⋊Dic11C2×D411yescharacteristic
643C22⋊Dic11C2×D411yescharacteristic
644#4326—22no—
645#4326—22no—
646#4326—22no—
647#4326—41no—
648#4326—41no—
649#4325—22no—
650#4325—41no—
651#4325—41no—
652#4325—41no—
653#4324—41no—
654#4324—41no—
655#4323—41no—
656(C2×D11)⋊C4—21no—
657(C2×D11)⋊C4—21no—
658(C2×D11)⋊C4—21no—
659(C2×D11)⋊C4—21no—
660(C2×D11)⋊C4—21no—
661(C2×D11)⋊C4—21no—
662(C2×D11)⋊C4—21no—
663(C2×D11)⋊C4—21no—
664(C2×D11)⋊C4—21no—
665(C2×D11)⋊C4—21no—
666(C2×D11)⋊C4—21no—
667(C2×D11)⋊C4—21no—
668(C2×D11)⋊C4—21no—
669(C2×D11)⋊C4—21no—
670(C2×D11)⋊C4—21no—
671(C2×D11)⋊C4—21no—
672(C2×D11)⋊C4—21no—
673(C2×D11)⋊C4—21no—
674(C2×D11)⋊C4—21no—
675(C2×D11)⋊C4—21no—
676(C2×D11)⋊C4—21no—
677(C2×D11)⋊C4—21no—
678(C2×D11)⋊C4C2×D411yescharacteristic
679(C2×D11)⋊C4C2×D411yescharacteristic
680(C2×D11)⋊C4C2×D411yescharacteristic
681(C2×D11)⋊C4C2×D411yescharacteristic
682(C2×D11)⋊C4C2×D411yescharacteristic
683(C2×D11)⋊C4C2×D411yescharacteristic
684C4⋊Dic11—21no—
685C4⋊Dic11—21no—
686C4⋊Dic11—21no—
687C4⋊Dic11—21no—
688C4⋊Dic11—21no—
689C4⋊Dic11—21no—
690C4⋊Dic11—21no—
691C4⋊Dic11C2×D411yescharacteristic
692C4⋊Dic11C2411yescharacteristic
693C4⋊Dic11C2411yescharacteristic
694Dic11⋊C4—21no—
695Dic11⋊C4—21no—
696Dic11⋊C4—21no—
697Dic11⋊C4—21no—
698Dic11⋊C4—21no—
699Dic11⋊C4—21no—
700Dic11⋊C4—21no—
701Dic11⋊C4—21no—
702Dic11⋊C4—21no—
703Dic11⋊C4—21no—
704Dic11⋊C4C2×D411yescharacteristic
705Dic11⋊C4C2×D411yescharacteristic
706Dic11⋊C4C2×D411yescharacteristic
707Dic11⋊C4C2×D411yescharacteristic
708C4×Dic11—21no—
709C4×Dic11—21no—
710C4×Dic11—21no—
711C4×Dic11—21no—
712C4×Dic11—21no—
713C4×Dic11—21no—
714C4×Dic11—21no—
715C4×Dic11—21no—
716C4×Dic11C2411yescharacteristic
717#4318—41no—
718#4318—41no—
719C2×C11⋊C8C2411yescharacteristic
720C2×C11⋊C8C2411yescharacteristic
721C2×C11⋊C8C2411yescharacteristic
722C2×C11⋊C8C2411yescharacteristic
723Dic44—22no—
724Dic44—22no—
725D88—41no—
726D88—41no—
727#4314—22no—
728#4314—41no—
729#4314—41no—
730#4314—41no—
731#4314—41no—
732#4313—41no—
733C8×D11—41no—
734C8×D11—41no—
735C8×D11—41no—
736#3541—111no—
737#3487—111no—
738#3333—111no—
739#3326—111no—
740#3317—111no—
741#3316D1111yescharacteristic, complemented
742#3313—111no—
743#3309—111no—
744#3304—111no—
745#3300—111no—
746#3285—111no—
747#3284—111no—
748#3278—111no—
749#3277—111no—
750#3271—111no—
751#3271—111no—
752#3270—111no—
753#3269—111no—
754#3224—111no—
755#3222—111no—
756#3200—111no—
757#3198—111no—
758#3197—111no—
759#3190—111no—
760#3127—111no—
761#3121—111no—
762#3013—111no—
763#3011—111no—
764#3007—111no—
765#3002—111no—
766#2976—111no—
767C23×C11—21no—
768C23×C11C22×D411yescharacteristic
769C23×C11C22×D411yescharacteristic
770C22×D11—21no—
771C22×D11—21no—
772C22×D11—21no—
773C22×D11—41no—
774C22×D11—41no—
775C22×D11—41no—
776C22×D11—42no—
777C22×D11—81no—
778C22×D11—81no—
779C22×D11C22×D411yescharacteristic
780C22×D11C22×D411yescharacteristic
781C22×D11C22×D411yescharacteristic
782Q8×C11—21no—
783Q8×C11—21no—
784Q8×C11—21no—
785Q8×C11—21no—
786Q8×C11—21no—
787Q8×C11—42no—
788Q8×C11—81no—
789Q8×C11H(5,𝔽2)12yes—
790D4×C11—21no—
791D4×C11—21no—
792D4×C11—41no—
793D4×C11—42no—
794D4×C11—81no—
795C2×C4×C11—21no—
796C2×C4×C11—21no—
797C2×C4×C11—21no—
798C2×C4×C11—21no—
799C2×C4×C11—21no—
800C2×C4×C11—21no—
801C2×C4×C11—21no—
802C2×C4×C11—21no—
803C2×C4×C11—21no—
804C2×C4×C11—21no—
805C2×C4×C11—21no—
806C2×C4×C11—42no—
807C2×C4×C11—42no—
808C2×C4×C11—81no—
809C2×C4×C11—81no—
810C2×C4×C11C22×D411yescharacteristic
811C2×C4×C11C22×D411yescharacteristic
812C2×C4×C11C22×D411yescharacteristic
813C2×C4×C11C22×D411yescharacteristic
814C2×C4×C11C2511yescharacteristic
815C22⋊D11—41no—
816C22⋊D11—41no—
817C22⋊D11—41no—
818C22⋊D11—41no—
819C22⋊D11—42no—
820C22⋊D11—42no—
821C22⋊D11—42no—
822C22⋊D11—42no—
823C22⋊D11—42no—
824C22⋊D11—81no—
825C22⋊D11—81no—
826C22⋊D11—81no—
827C22⋊D11—81no—
828C22⋊D11—81no—
829C22⋊D11—81no—
830C2×Dic11—21no—
831C2×Dic11—21no—
832C2×Dic11—21no—
833C2×Dic11—21no—
834C2×Dic11—21no—
835C2×Dic11—41no—
836C2×Dic11—42no—
837C2×Dic11—81no—
838C2×Dic11C22×D411yescharacteristic
839C2×Dic11C22×D411yescharacteristic
840C2×Dic11C22×D411yescharacteristic
841C2×Dic11C22×D411yescharacteristic
842C2×Dic11C22×D411yescharacteristic
843D44—21no—
844D44—21no—
845D44—21no—
846D44—21no—
847D44—21no—
848D44—21no—
849D44—41no—
850D44—41no—
851D44—42no—
852D44—42no—
853D44—42no—
854D44—81no—
855D44—81no—
856D44—81no—
857D44—81no—
858D44—81no—
859D44—81no—
860D44—81no—
861C4×D11—24no—
862C4×D11—21no—
863C4×D11—21no—
864C4×D11—21no—
865C4×D11—21no—
866C4×D11—21no—
867C4×D11—21no—
868C4×D11—41no—
869C4×D11—41no—
870C4×D11—42no—
871C4×D11—42no—
872C4×D11—42no—
873C4×D11—42no—
874C4×D11—42no—
875C4×D11—42no—
876C4×D11—81no—
877C4×D11—81no—
878C4×D11—81no—
879C4×D11—81no—
880Dic22—24no—
881Dic22—21no—
882Dic22—21no—
883Dic22—21no—
884Dic22—21no—
885Dic22—21no—
886Dic22—41no—
887Dic22—42no—
888Dic22—81no—
889Dic22—81no—
890Dic22H(5,𝔽2)12yes—
891C8×C11—21no—
892C8×C11—21no—
893C8×C11—21no—
894C8×C11—21no—
895C11⋊C8—21no—
896C11⋊C8—21no—
897C11⋊C8—21no—
898C11⋊C8—21no—
899C2×2−1+4—111no—
900C22×#41—111no—
901C2×#137—111no—
902C2×#137—111no—
903C2×#137—111no—
904C2×#137—111no—
905C2×#135—111no—
906C2×#135—111no—
907C2×#135—111no—
908C22×Q16—111no—
909#563—221no—
910#562—221no—
911#556—111no—
912#554—221no—
913#554C2×D1111yescharacteristic, complemented
914#553—111no—
915#553—221no—
916#552—111no—
917#550—111no—
918#550—111no—
919#550—111no—
920#550—111no—
921#550—221no—
922#550—221no—
923D4×Q8—111no—
924#548—111no—
925#548—111no—
926#548—111no—
927#548—111no—
928#548—111no—
929#548—221no—
930#548—221no—
931#548C2×D1111yescharacteristic
932#547—111no—
933#542—111no—
934#542—221no—
935#541—111no—
936#539—221no—
937#538—221no—
938#538—221no—
939#537—111no—
940#536—111no—
941#535—111no—
942#535—111no—
943#535—221no—
944#535—221no—
945#525—111no—
946#525—111no—
947#525—111no—
948#525—221no—
949#525—221no—
950C2×C22⋊Q8—111no—
951#519—111no—
952#497—111no—
953#496—111no—
954#495—111no—
955#492—111no—
956#490—111no—
957#489C2×D1111yescharacteristic, complemented
958#488—111no—
959#486—111no—
960#485—111no—
961#485—111no—
962#485—111no—
963#485—111no—
964#483C2×D1111yescharacteristic, complemented
965#482—111no—
966#482—111no—
967#482—111no—
968#482—111no—
969#481C2×D1111yescharacteristic, complemented
970#480—111no—
971#480—111no—
972#479—111no—
973#479—111no—
974#477—111no—
975#475C2×D1111yescharacteristic, complemented
976#470C2×D1111yescharacteristic, complemented
977#469—111no—
978#469—111no—
979#468—111no—
980#468—111no—
981#468—111no—
982#468—111no—
983#468—111no—
984#467—111no—
985#467—111no—
986#466—111no—
987#465—111no—
988#465—111no—
989#465—111no—
990#465—111no—
991#465C2×D1111yescharacteristic, complemented
992#464—111no—
993#464—111no—
994#464—111no—
995#464—111no—
996#464C2×D1111yescharacteristic, complemented
997#463—111no—
998#462—111no—
999#462—111no—
1000#460—111no—
1001#460—111no—
1002#460—111no—
1003#459—111no—
1004#452—111no—
1005#452—111no—
1006#452—111no—
1007#452—111no—
1008#452—111no—
1009#452—111no—
1010#452—111no—
1011#452—111no—
1012#452—111no—
1013#452—111no—
1014#452—111no—
1015#452—111no—
1016#452C2×D1111yescharacteristic
1017#451—111no—
1018#451—111no—
1019#451—111no—
1020#451—111no—
1021#451—111no—
1022#451—111no—
1023#451C2×D1111yescharacteristic, complemented
1024#450—111no—
1025#450—111no—
1026#450—111no—
1027#449—111no—
1028#449—111no—
1029#449—111no—
1030#449—111no—
1031#449—111no—
1032#449—111no—
1033#449—111no—
1034#448—111no—
1035#448—111no—
1036#448—111no—
1037#448—111no—
1038#448—111no—
1039#447—111no—
1040#441—111no—
1041#441—111no—
1042#441C2×D1111yescharacteristic, complemented
1043#440—111no—
1044C4×Q16—111no—
1045C4×Q16—111no—
1046C4×Q16—111no—
1047C4×SD16—111no—
1048#436—111no—
1049#436—111no—
1050#435—111no—
1051#435—111no—
1052#435—111no—
1053#435C2×D1111yescharacteristic, complemented
1054C8×D4—111no—
1055C8×D4—111no—
1056#433—111no—
1057#433—111no—
1058#419—111no—
1059#417—111no—
1060#417—111no—
1061#417C2×D1111yescharacteristic
1062#416—111no—
1063#416—111no—
1064#416—111no—
1065C2×#103C2×D1111yescharacteristic, complemented
1066#408—111no—
1067#408—111no—
1068#407—111no—
1069C2×C22⋊C8—111no—
1070C22×C11—21no—
1071C22×C11—21no—
1072C22×C11—21no—
1073C22×C11—21no—
1074C22×C11—21no—
1075C22×C11—21no—
1076C22×C11—41no—
1077C22×C11—41no—
1078C22×C11—41no—
1079C22×C11C23×D411yescharacteristic
1080C2×D11—21no—
1081C2×D11—21no—
1082C2×D11—21no—
1083C2×D11—21no—
1084C2×D11—21no—
1085C2×D11—21no—
1086C2×D11—21no—
1087C2×D11—21no—
1088C2×D11—21no—
1089C2×D11—41no—
1090C2×D11—41no—
1091C2×D11—41no—
1092C2×D11—41no—
1093C2×D11—41no—
1094C2×D11—41no—
1095C2×D11—41no—
1096C2×D11—41no—
1097C2×D11—41no—
1098C2×D11—82no—
1099C2×D11—84no—
1100C4×C11—21no—
1101C4×C11—21no—
1102C4×C11—21no—
1103C4×C11—21no—
1104C4×C11—22no—
1105C4×C11—41no—
1106C4×C11—41no—
1107C4×C11—41no—
1108C4×C11—41no—
1109C4×C11—41no—
1110C4×C11—41no—
1111C4×C11C2×H(5,𝔽2)11yescharacteristic
1112C4×C11C2×H(5,𝔽2)11yescharacteristic
1113Dic11—21no—
1114Dic11—21no—
1115Dic11—21no—
1116Dic11—22no—
1117Dic11—21no—
1118Dic11—21no—
1119Dic11—41no—
1120Dic11—41no—
1121Dic11—41no—
1122Dic11—41no—
11232−1+4—442no—
11242−1+4—442no—
1125C2×#41—111no—
1126C2×#41—111no—
1127C2×#41—111no—
1128C2×#41—111no—
1129C2×#41—111no—
1130C2×#41—111no—
1131C2×#41—111no—
1132C2×#41—111no—
1133C2×#41—111no—
1134C2×#41—221no—
1135C2×#41—221no—
1136C2×#41—221no—
1137C2×#41—221no—
1138C2×#41—221no—
1139C2×#41—442no—
1140C2×#41—442no—
1141C2×#41C22×D1111yescharacteristic
1142C22×Q8—111no—
1143C22×Q8—111no—
1144C22×Q8—111no—
1145C22×Q8—111no—
1146C22×Q8—221no—
1147C22×Q8C22×D1111yescharacteristic
1148C22×D4—111no—
1149C22×D4—221no—
1150C23×C4—111no—
1151C23×C4—221no—
1152#137—442no—
1153#137—442no—
1154#137—442no—
1155#137—442no—
1156#135—442no—
1157#135—442no—
1158#135—442no—
1159C2×Q16—111no—
1160C2×Q16—111no—
1161C2×Q16—111no—
1162C2×Q16—111no—
1163C2×Q16—111no—
1164C2×Q16—111no—
1165C2×Q16—111no—
1166C2×Q16—442no—
1167C2×Q16C22×D1111yescharacteristic
1168C2×Q16C22×D1111yescharacteristic
1169C2×SD16—111no—
1170C2×SD16—111no—
1171C2×SD16—111no—
1172C2×SD16—111no—
1173C2×SD16—111no—
1174C2×SD16—111no—
1175C2×SD16—111no—
1176C2×SD16—111no—
1177C2×SD16—111no—
1178C2×SD16—111no—
1179C2×SD16—111no—
1180C2×SD16C22×D1111yescharacteristic
1181C2×D8—111no—
1182C2×D8—111no—
1183C2×D8—111no—
1184C2×M16—111no—
1185C2×M16—111no—
1186C2×M16—111no—
1187C2×M16C22×D1111yescharacteristic
1188C22×C8—111no—
1189C22×C8—111no—
1190C22×C8—111no—
1191C22×C8C22×D1111yescharacteristic
1192C4⋊Q8—111no—
1193C4⋊Q8—221no—
1194C4⋊Q8—221no—
1195C4⋊Q8C22×D1111yescharacteristic
1196#127—111no—
1197#127—111no—
1198#127—221no—
1199#127—221no—
1200#127—221no—
1201#127—221no—
1202#127—221no—
1203#126—221no—
1204#126—221no—
1205#126—221no—
1206#126—221no—
1207#126—221no—
1208#126—221no—
1209#126—221no—
1210#125—21no—
1211#125—111no—
1212#125—221no—
1213#125—221no—
1214#125—221no—
1215#124—21no—
1216#124—111no—
1217#124—111no—
1218#124—221no—
1219#124—221no—
1220#124—221no—
1221#124—221no—
1222#124—221no—
1223#124—221no—
1224#124—221no—
1225#124—221no—
1226#124—221no—
1227#124C22×D1111yescharacteristic
1228#123—111no—
1229#123—111no—
1230#123—221no—
1231#123—221no—
1232#123—221no—
1233#123—221no—
1234#123—221no—
1235#123—221no—
1236#123—221no—
1237#123—221no—
1238#123—221no—
1239C22⋊Q8—21no—
1240C22⋊Q8—21no—
1241C22⋊Q8—21no—
1242C22⋊Q8—111no—
1243C22⋊Q8—111no—
1244C22⋊Q8—111no—
1245C22⋊Q8—111no—
1246C22⋊Q8—111no—
1247C22⋊Q8—111no—
1248C22⋊Q8—111no—
1249C22⋊Q8—111no—
1250C22⋊Q8—111no—
1251C22⋊Q8—111no—
1252C22⋊Q8—221no—
1253C22⋊Q8—221no—
1254C22⋊Q8—221no—
1255C22⋊Q8—221no—
1256C22⋊Q8—221no—
1257C22⋊Q8—221no—
1258C22⋊Q8—221no—
1259C22⋊Q8—221no—
1260C22⋊Q8—221no—
1261C22⋊Q8—221no—
1262C22⋊Q8—221no—
1263C22⋊Q8C22×D1111yescharacteristic
1264C22⋊Q8C22×D1111yescharacteristic
1265C22⋊Q8C22×D1111yescharacteristic
1266#121—21no—
1267#121—111no—
1268#121—111no—
1269#121—111no—
1270#121—111no—
1271#121—111no—
1272#121—111no—
1273#121—111no—
1274#121—111no—
1275#121—111no—
1276#121—111no—
1277#121—221no—
1278#121—221no—
1279#121—221no—
1280#121—221no—
1281#121—221no—
1282#121—221no—
1283#121—221no—
1284#121—221no—
1285#121—221no—
1286#121—221no—
1287#121—221no—
1288#121—221no—
1289#121—221no—
1290#121—221no—
1291#121—221no—
1292#121—221no—
1293#121—221no—
1294#121—221no—
1295#121—221no—
1296#121—221no—
1297#121C22×D1111yescharacteristic
1298#120—111no—
1299#120—111no—
1300#120—221no—
1301#120—221no—
1302#120—221no—
1303#120—221no—
1304#120—221no—
1305#120—221no—
1306C4×Q8—111no—
1307C4×Q8—111no—
1308C4×Q8—111no—
1309C4×Q8—111no—
1310C4×Q8—111no—
1311C4×Q8—221no—
1312C4×Q8—221no—
1313C4×Q8—221no—
1314C4×Q8C22×D1111yescharacteristic
1315C4×Q8C22×D1111yescharacteristic
1316C4×D4—21no—
1317C4×D4—21no—
1318C4×D4—111no—
1319C4×D4—111no—
1320C4×D4—111no—
1321C4×D4—111no—
1322C4×D4—221no—
1323C4×D4—221no—
1324C4×D4—221no—
1325C4×D4—221no—
1326C4×D4—221no—
1327C4×D4—221no—
1328C4×D4—221no—
1329C4×D4—221no—
1330C4×D4—221no—
1331C4×D4—221no—
1332C4×D4—221no—
1333C4×D4—221no—
1334C4×D4—221no—
1335C4×D4—221no—
1336C4×D4—221no—
1337C4×D4C22×D1111yescharacteristic
1338#117—111no—
1339#117—111no—
1340#117—111no—
1341#117—111no—
1342#117—221no—
1343#117—221no—
1344#117—221no—
1345C2×C4⋊C4—221no—
1346C2×C4⋊C4—221no—
1347C2×C4⋊C4C22×D1111yescharacteristic
1348C2×C4⋊C4C22×D1111yescharacteristic
1349C2×C22⋊C4—221no—
1350#107—111no—
1351#107—111no—
1352#107—111no—
1353#107—111no—
1354#106—111no—
1355#106C22×D1111yescharacteristic
1356#106C22×D1111yescharacteristic
1357#106C22×D1111yescharacteristic
1358C4⋊C8—111no—
1359C4⋊C8—111no—
1360C4⋊C8—111no—
1361C4⋊C8C22×D1111yescharacteristic
1362#103—111no—
1363#103—111no—
1364#103—111no—
1365#103—111no—
1366#103—111no—
1367#103—111no—
1368#103—111no—
1369#103—111no—
1370#103—111no—
1371#103—111no—
1372#103—111no—
1373#103C22×D1111yescharacteristic
1374#103C22×D1111yescharacteristic
1375#103C22×D1111yescharacteristic
1376#103C22×D1111yescharacteristic
1377#103C22×D1111yescharacteristic
1378#103C22×D1111yescharacteristic
1379#103C22×D1111yescharacteristic
1380#102—111no—
1381#102—111no—
1382#102—111no—
1383#102—111no—
1384#102—111no—
1385#102—111no—
1386#102—111no—
1387#102—111no—
1388#102—111no—
1389#102—111no—
1390#102—111no—
1391#102C22×D1111yescharacteristic
1392#102C22×D1111yescharacteristic
1393#102C22×D1111yescharacteristic
1394C22⋊C8—111no—
1395C22⋊C8—111no—
1396C22⋊C8—111no—
1397C22⋊C8—111no—
1398C22⋊C8—111no—
1399C22⋊C8—111no—
1400C22⋊C8—111no—
1401C22⋊C8—111no—
1402C22⋊C8—111no—
1403C22⋊C8—111no—
1404C22⋊C8C22×D1111yescharacteristic
1405C22⋊C8C22×D1111yescharacteristic
1406#97—111no—
1407#97C22×D1111yescharacteristic
1408C4×C8—111no—
1409C4×C8—111no—
1410C2×C11—41no—
1411C2×C11—41no—
1412C2×C11—81no—
1413C2×C11#348411yescharacteristic
1414C2×C11#358411yescharacteristic
1415C2×C11#358611yescharacteristic
1416D11—41no—
1417D11—41no—
1418D11—41no—
1419D11—81no—
1420D11—81no—
1421D11—81no—
1422C24—111no—
1423C24—221no—
1424#41—22no—
1425#41—41no—
1426#41—222no—
1427#41—222no—
1428#41—222no—
1429#41—222no—
1430#41—222no—
1431#41—441no—
1432#41—441no—
1433#41—441no—
1434#41—441no—
1435#41—441no—
1436#41—441no—
1437#41—444no—
1438#41—444no—
1439#41—444no—
1440#41—441no—
1441#41—441no—
1442#41—441no—
1443#41—441no—
1444#41—441no—
1445#41—444no—
1446#41—441no—
1447#41—441no—
1448#41—444no—
1449C2×Q8—21no—
1450C2×Q8—21no—
1451C2×Q8—22no—
1452C2×Q8—41no—
1453C2×Q8—111no—
1454C2×Q8—111no—
1455C2×Q8—111no—
1456C2×Q8—111no—
1457C2×Q8—221no—
1458C2×Q8—221no—
1459C2×Q8—221no—
1460C2×Q8—222no—
1461C2×Q8—222no—
1462C2×Q8—221no—
1463C2×Q8—222no—
1464C2×Q8—441no—
1465C2×Q8—441no—
1466C2×Q8—441no—
1467C2×Q8—441no—
1468C2×Q8—441no—
1469C2×Q8—444no—
1470C2×Q8C23×D1111yescharacteristic
1471C2×Q8C23×D1111yescharacteristic
1472C2×Q8C23×D1111yescharacteristic
1473C2×D4—21no—
1474C2×D4—21no—
1475C2×D4—111no—
1476C2×D4—111no—
1477C2×D4—111no—
1478C2×D4—111no—
1479C2×D4—111no—
1480C2×D4—111no—
1481C2×D4—111no—
1482C2×D4—111no—
1483C2×D4—111no—
1484C2×D4—221no—
1485C2×D4—221no—
1486C2×D4—221no—
1487C2×D4—221no—
1488C2×D4—221no—
1489C2×D4—221no—
1490C2×D4—221no—
1491C2×D4—221no—
1492C2×D4—221no—
1493C2×D4—221no—
1494C2×D4—221no—
1495C2×D4—221no—
1496C2×D4—221no—
1497C2×D4—221no—
1498C2×D4—221no—
1499C2×D4—221no—
1500C2×D4—221no—
1501C2×D4—221no—
1502C2×D4—221no—
1503C2×D4—221no—
1504C2×D4—221no—
1505C2×D4—441no—
1506C2×D4—441no—
1507C2×D4—444no—
1508C2×D4D4×D1111yescharacteristic
1509C2×D4C23×D1111yescharacteristic
1510C22×C4—21no—
1511C22×C4—21no—
1512C22×C4—21no—
1513C22×C4—21no—
1514C22×C4—111no—
1515C22×C4—111no—
1516C22×C4—111no—
1517C22×C4—111no—
1518C22×C4—111no—
1519C22×C4—111no—
1520C22×C4—221no—
1521C22×C4—221no—
1522C22×C4—221no—
1523C22×C4—221no—
1524C22×C4—221no—
1525C22×C4—221no—
1526C22×C4—221no—
1527C22×C4—221no—
1528C22×C4—221no—
1529C22×C4—221no—
1530C22×C4—221no—
1531C22×C4—221no—
1532C22×C4—221no—
1533C22×C4—441no—
1534C22×C4—441no—
1535C22×C4—444no—
1536C22×C4C23×D1111yescharacteristic
1537C22×C4C23×D1111yescharacteristic
1538Q16—22no—
1539Q16—41no—
1540Q16—222no—
1541Q16—222no—
1542Q16—222no—
1543Q16—222no—
1544Q16—222no—
1545Q16—441no—
1546Q16—441no—
1547SD16—41no—
1548SD16—222no—
1549SD16—222no—
1550SD16—441no—
1551SD16—441no—
1552SD16—441no—
1553SD16—441no—
1554SD16—441no—
1555SD16—441no—
1556SD16—441no—
1557SD16—441no—
1558SD16—441no—
1559D8—441no—
1560D8—441no—
1561D8—441no—
1562M16—41no—
1563M16—441no—
1564M16—441no—
1565M16—441no—
1566C2×C8—41no—
1567C2×C8—111no—
1568C2×C8—111no—
1569C2×C8—111no—
1570C2×C8—111no—
1571C2×C8—441no—
1572C2×C8—441no—
1573C2×C8—441no—
1574C2×C8C23×D1111yescharacteristic
1575C2×C8C23×D1111yescharacteristic
1576C2×C8C23×D1111yescharacteristic
1577C2×C8C23×D1111yescharacteristic
1578C4⋊C4—21no—
1579C4⋊C4—21no—
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—21no—
1583C4⋊C4—21no—
1584C4⋊C4—21no—
1585C4⋊C4—21no—
1586C4⋊C4—111no—
1587C4⋊C4—111no—
1588C4⋊C4—111no—
1589C4⋊C4—111no—
1590C4⋊C4—111no—
1591C4⋊C4—111no—
1592C4⋊C4—111no—
1593C4⋊C4—221no—
1594C4⋊C4—221no—
1595C4⋊C4—221no—
1596C4⋊C4—221no—
1597C4⋊C4—221no—
1598C4⋊C4—221no—
1599C4⋊C4—221no—
1600C4⋊C4—221no—
1601C4⋊C4—221no—
1602C4⋊C4—221no—
1603C4⋊C4—221no—
1604C4⋊C4—221no—
1605C4⋊C4—221no—
1606C4⋊C4—221no—
1607C4⋊C4—221no—
1608C4⋊C4—221no—
1609C4⋊C4—221no—
1610C4⋊C4D4×D1111yescharacteristic
1611C4⋊C4C23×D1111yescharacteristic
1612C4⋊C4C23×D1111yescharacteristic
1613C4⋊C4C23×D1111yescharacteristic
1614C4⋊C4C23×D1111yescharacteristic
1615C22⋊C4—21no—
1616C22⋊C4—21no—
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—111no—
1622C22⋊C4—111no—
1623C22⋊C4—111no—
1624C22⋊C4—111no—
1625C22⋊C4—111no—
1626C22⋊C4—111no—
1627C22⋊C4—111no—
1628C22⋊C4—111no—
1629C22⋊C4—221no—
1630C22⋊C4—221no—
1631C22⋊C4—221no—
1632C22⋊C4—221no—
1633C22⋊C4—221no—
1634C22⋊C4—221no—
1635C22⋊C4—221no—
1636C22⋊C4—221no—
1637C22⋊C4—221no—
1638C22⋊C4—221no—
1639C22⋊C4—221no—
1640C22⋊C4—221no—
1641C22⋊C4—221no—
1642C22⋊C4—221no—
1643C22⋊C4—221no—
1644C22⋊C4—221no—
1645C22⋊C4—221no—
1646C22⋊C4—221no—
1647C22⋊C4—221no—
1648C22⋊C4—221no—
1649C22⋊C4—221no—
1650C22⋊C4—221no—
1651C22⋊C4—221no—
1652C22⋊C4—221no—
1653C22⋊C4D4×D1111yescharacteristic
1654C22⋊C4D4×D1111yescharacteristic
1655C42—21no—
1656C42—21no—
1657C42—111no—
1658C42—221no—
1659C42—221no—
1660C42—221no—
1661C42—221no—
1662C42—221no—
1663C42—221no—
1664C42—221no—
1665C42—221no—
1666C42C23×D1111yescharacteristic
1667C11#6161511yescharacteristic, complemented, Sylow
1668C23—21no—
1669C23—111no—
1670C23—111no—
1671C23—111no—
1672C23—221no—
1673C23—221no—
1674C23—221no—
1675C23—441no—
1676C23—441no—
1677C23—441no—
1678C23—442no—
1679C23—881no—
1680C23—881no—
1681C23C2×D4×D1111yescharacteristic
1682C23C2×D4×D1111yescharacteristic
1683Q8—21no—
1684Q8—21no—
1685Q8—21no—
1686Q8—21no—
1687Q8—21no—
1688Q8—42no—
1689Q8—81no—
1690Q8—112no—
1691Q8—224no—
1692Q8—221no—
1693Q8—221no—
1694Q8—221no—
1695Q8—221no—
1696Q8—221no—
1697Q8—441no—
1698Q8—442no—
1699Q8—881no—
1700Q8—881no—
1701Q8#6704212yes—
1702D4—21no—
1703D4—21no—
1704D4—41no—
1705D4—42no—
1706D4—81no—
1707D4—221no—
1708D4—221no—
1709D4—221no—
1710D4—221no—
1711D4—221no—
1712D4—221no—
1713D4—441no—
1714D4—441no—
1715D4—442no—
1716D4—442no—
1717D4—442no—
1718D4—441no—
1719D4—441no—
1720D4—441no—
1721D4—441no—
1722D4—442no—
1723D4—442no—
1724D4—442no—
1725D4—442no—
1726D4—442no—
1727D4—881no—
1728D4—881no—
1729D4—881no—
1730D4—881no—
1731D4—881no—
1732D4—881no—
1733D4—881no—
1734D4—881no—
1735D4—881no—
1736D4—881no—
1737D4—881no—
1738D4—881no—
1739D4—881no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—42no—
1752C2×C4—42no—
1753C2×C4—81no—
1754C2×C4—81no—
1755C2×C4—111no—
1756C2×C4—111no—
1757C2×C4—111no—
1758C2×C4—111no—
1759C2×C4—111no—
1760C2×C4—224no—
1761C2×C4—221no—
1762C2×C4—221no—
1763C2×C4—221no—
1764C2×C4—221no—
1765C2×C4—221no—
1766C2×C4—221no—
1767C2×C4—221no—
1768C2×C4—221no—
1769C2×C4—221no—
1770C2×C4—221no—
1771C2×C4—221no—
1772C2×C4—441no—
1773C2×C4—441no—
1774C2×C4—442no—
1775C2×C4—442no—
1776C2×C4—442no—
1777C2×C4—442no—
1778C2×C4—442no—
1779C2×C4—442no—
1780C2×C4—441no—
1781C2×C4—442no—
1782C2×C4—881no—
1783C2×C4—881no—
1784C2×C4—881no—
1785C2×C4—881no—
1786C2×C4—881no—
1787C2×C4C2×D4×D1111yescharacteristic
1788C2×C4C2×D4×D1111yescharacteristic
1789C2×C4C2×D4×D1111yescharacteristic
1790C2×C4C2×D4×D1111yescharacteristic
1791C2×C4C24×D1111yescharacteristic
1792C8—21no—
1793C8—21no—
1794C8—21no—
1795C8—21no—
1796C8—221no—
1797C8—221no—
1798C8—221no—
1799C8—221no—
1800C22—21no—
1801C22—21no—
1802C22—21no—
1803C22—21no—
1804C22—21no—
1805C22—21no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—221no—
1810C22—221no—
1811C22—221no—
1812C22—221no—
1813C22—221no—
1814C22—221no—
1815C22—221no—
1816C22—221no—
1817C22—221no—
1818C22—441no—
1819C22—441no—
1820C22—441no—
1821C22—441no—
1822C22—441no—
1823C22—441no—
1824C22—441no—
1825C22—441no—
1826C22—441no—
1827C22—882no—
1828C22—884no—
1829C22C22×D4×D1111yescharacteristic
1830C4—21no—
1831C4—21no—
1832C4—21no—
1833C4—22no—
1834C4—21no—
1835C4—41no—
1836C4—41no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—221no—
1842C4—221no—
1843C4—221no—
1844C4—221no—
1845C4—222no—
1846C4—221no—
1847C4—441no—
1848C4—441no—
1849C4—441no—
1850C4—441no—
1851C4C2×#6704211yescharacteristic
1852C4D11×H(5,𝔽2)11yescharacteristic
1853C2—41no—
1854C2—41no—
1855C2—81no—
1856C2—441no—
1857C2—441no—
1858C2—441no—
1859C2—881no—
1860C2—881no—
1861C2—881no—
1862C2#1308224611yescharacteristic
1863C2#1308338811yescharacteristic
1864C2#1308339911yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3316C2
socleC22×C11C23×D4
hypercenter#3316D11
hypocenterC11#61615
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3316

Complements

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

NH ≅ G/Ntype
1. #13082910C2semidirect
2. #13082273C2semidirect
3. #13080948C2semidirect
4. #13080872C2semidirect
5. #13080745C2semidirect
6. #13080681C2semidirect
7. #13080623C2semidirect
8. #13080552C2semidirect
9. #13080499C2semidirect
10. #13080352C2semidirect
11. #13080343C2semidirect
12. #13080275C2semidirect
13. #13080269C2semidirect
14. #13080206C2semidirect
15. #13080203C2semidirect
16. #13080193C2semidirect
17. #13080174C2semidirect
18. #13079711C2semidirect
19. #13079685C2semidirect
20. #13079482C2semidirect
21. #13079473C2semidirect
22. #13079459C2semidirect
23. #13079402C2semidirect
24. #13078915C2semidirect
25. #13078852C2semidirect
26. #13077936C2semidirect
27. #13077906C2semidirect
28. #13077877C2semidirect
29. #13077837C2semidirect
30. #13077663C2semidirect
31. C11×#3316C2semidirect
34. C11×#554C22semidirect
39. C2×#66995C22semidirect
41. C2×#66971C22semidirect
42. C2×Q16×D11C22semidirect
45. C2×#66957C22semidirect
47. #10623263C22semidirect
60. #10623163C22semidirect
61. #10623162C22semidirect
72. #10623107C22semidirect
78. #10623083C22semidirect
81. #10623045C22semidirect
82. #10623044C22semidirect
85. C11×#489C22semidirect
86. C11×#483C22semidirect
87. C11×#481C22semidirect
88. C11×#475C22semidirect
89. C11×#470C22semidirect
90. C11×#465C22semidirect
91. C11×#464C22semidirect
93. C11×#451C22semidirect
94. C11×#441C22semidirect
95. C11×#435C22semidirect
97. C2×C11×#103C22semidirect
99. #10622841C22semidirect
100. #10622803C22semidirect
102. #10622800C22semidirect
104. #10622795C22semidirect
105. #10622788C22semidirect
106. #10622783C22semidirect
108. #10622748C22semidirect
109. #10622740C22semidirect
111. #10622727C22semidirect
113. C8×C22⋊D11C22semidirect
114. #10622704C22semidirect
115. #10622701C22semidirect
116. #10622672C22semidirect
117. #10622667C22semidirect
118. #10622663C22semidirect
119. #10622662C22semidirect
120. #10622662C22semidirect
121. #10622662C22semidirect
123. #10622660C22semidirect
124. #10622655C22semidirect
125. #10622650C22semidirect
126. C4×#4326C22semidirect
127. C4×#4326C22semidirect
128. #10622641C22semidirect
129. #10622640C22semidirect
130. #10622625C22semidirect
131. #10622580C22semidirect
132. #10622580C22semidirect
134. #10622579C22semidirect
138. #10622479C22semidirect
139. #10622479C22semidirect
140. #10622478C22semidirect
141. #10622477C22semidirect
142. #10622477C22semidirect
143. #10622477C22semidirect
144. #10622470C22semidirect
145. #10622466C22semidirect
146. #10622465C22semidirect
147. #10622461C22semidirect
148. #10622458C22semidirect
150. #10622447C22semidirect
151. #10622432C22semidirect
152. #10622430C22semidirect
154. #10622428C22semidirect
155. #10622426C22semidirect
156. #10622426C22semidirect
158. #10622424C22semidirect
159. #10622424C22semidirect
164. #10622423C22semidirect
167. #10622421C22semidirect
169. #10622419C22semidirect
170. #10622419C22semidirect
172. #10622417C22semidirect
173. #10622415C22semidirect
174. #10622413C22semidirect
175. #10622412C22semidirect
176. #10622411C22semidirect
177. #10622406C22semidirect
178. #10622403C22semidirect
179. #10622399C22semidirect
182. #10622393C22semidirect
183. #10622392C22semidirect
186. #10622388C22semidirect
189. #10622377C22semidirect
190. #10622375C22semidirect
191. #10622351C22semidirect
193. #10622347C22semidirect
194. #10622346C22semidirect
195. #10622342C22semidirect
196. #10622341C22semidirect
199. #10622329C22semidirect
200. #10622325C22semidirect
202. #10622319C22semidirect
741. #3316D11semidirect
913. #554C2×D11semidirect
957. #489C2×D11semidirect
964. #483C2×D11semidirect
969. #481C2×D11semidirect
975. #475C2×D11semidirect
976. #470C2×D11semidirect
991. #465C2×D11semidirect
996. #464C2×D11semidirect
1023. #451C2×D11semidirect
1042. #441C2×D11semidirect
1053. #435C2×D11semidirect
1065. C2×#103C2×D11semidirect
1667. C11#61615semidirect

Maximal subgroups

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

subgroupindex
#130829102
#130822732
#130809482
#130808722
#130807452
#130806812
#130806232
#130805522
#130804992
#130803522
#130803432
#130802752
#130802692
#130802062
#130802032
#130801932
#130801742
#130797112
#130796852
#130794822
#130794732
#130794592
#130794022
#130789152
#130788522
#130779362
#130779062
#130778772
#130778372
#130776632
C11×#33162
#6161511