Finite Group Databasebeta

← #11025418

Subgroups — #11025418

Order 768.

2552 conjugacy classes of subgroups.

The subgroup lattice has 1702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#936C211yesmaximal, characteristic, complemented
2C2×#5603C211yesmaximal, characteristic, complemented
3C3×#2410C211yesmaximal, characteristic
4#84047C211yesmaximal, characteristic, complemented
5#82687C211yesmaximal, characteristic, complemented
6#82682C211yesmaximal, characteristic, complemented
7#82662C211yesmaximal, characteristic, complemented
8#82589C211yesmaximal, characteristic, complemented
9#82589C211yesmaximal, characteristic, complemented
10#82585C211yesmaximal, characteristic, complemented
11#82579C211yesmaximal, characteristic, complemented
12#82110C211yesmaximal, characteristic, complemented
13#82097C211yesmaximal, characteristic, complemented
14#77046C211yesmaximal, characteristic, complemented
15#77002C211yesmaximal, characteristic, complemented
16#76977C211yesmaximal, characteristic, complemented
17#76940C211yesmaximal, characteristic, complemented
18#76731C211yesmaximal, characteristic, complemented
19#76727C211yesmaximal, characteristic, complemented
20#76709C211yesmaximal, characteristic, complemented
21#76680C211yesmaximal, characteristic, complemented
22#74870C211yesmaximal, characteristic, complemented
23#74825C211yesmaximal, characteristic, complemented
24#74811C211yesmaximal, characteristic, complemented
25#74729C211yesmaximal, characteristic, complemented
26#74689C211yesmaximal, characteristic, complemented
27#74671C211yesmaximal, characteristic, complemented
28#74412C211yesmaximal, characteristic, complemented
29#74381C211yesmaximal, characteristic, complemented
30#73831C211yesmaximal, characteristic, complemented
31#73828C211yesmaximal, characteristic, complemented
32#37718—31nomaximal, Sylow
33C23×C3×D4C2211yescharacteristic
34C23×Dic6C2211yescharacteristic
35C2×C3×#121C2211yescharacteristic
36C2×C3×#121C2211yescharacteristic
37C2×C3×#120C2211yescharacteristic
38C2×C3×#120C2211yescharacteristic
39C22×C3×C22⋊C4C2211yescharacteristic
40C22×#217C2211yescharacteristic
41C22×#217C2211yescharacteristic
42C22×#217C2211yescharacteristic
43C22×#217C2211yescharacteristic
44C22×#217C2211yescharacteristic
45C2×#936—28no—
46C2×#936C2211yescharacteristic
47C2×#936C2211yescharacteristic
48C2×#936C2211yescharacteristic
49C2×#936C2211yescharacteristic
50C2×#936C2211yescharacteristic
51C2×#936C2211yescharacteristic
52C2×#936C2211yescharacteristic
53C2×#936C2211yescharacteristic
54C2×#936C2211yescharacteristic, complemented
55C2×#936C2211yescharacteristic, complemented
56C2×#935C2211yescharacteristic
57C2×#935C2211yescharacteristic
58C2×#935C2211yescharacteristic, complemented
59C2×D4×Dic3C2211yescharacteristic
60C2×D4×Dic3C2211yescharacteristic, complemented
61C2×#926C2211yescharacteristic, complemented
62C2×#924C2211yescharacteristic, complemented
63C22×C4×Dic3C2211yescharacteristic
64#5603—28no—
65C2×#888C2211yescharacteristic, complemented
66C2×#888C2211yescharacteristic, complemented
67C2×#887C2211yescharacteristic, complemented
68C2×#879C2211yescharacteristic, complemented
69C2×#879C2211yescharacteristic, complemented
70C2×#878C2211yescharacteristic
71C2×#878C2211yescharacteristic
72C2×#878C2211yescharacteristic, complemented
73C2×#878C2211yescharacteristic, complemented
74C2×#878C2211yescharacteristic, complemented
75C3×#394C2211yescharacteristic
76C3×#394C2211yescharacteristic
77C3×#392C2211yescharacteristic
78C3×#392C2211yescharacteristic
79C3×#386C2211yescharacteristic
80C3×#386C2211yescharacteristic
81C3×#386C2211yescharacteristic
82C3×#385C2211yescharacteristic
83C3×#379C2211yescharacteristic
84#5247C2211yescharacteristic
85#5247C2211yescharacteristic
86#5247C2211yescharacteristic
87#5222C2211yescharacteristic
88#5222C2211yescharacteristic
89#5222C2211yescharacteristic
90#5222C2211yescharacteristic
91#5222C2211yescharacteristic, complemented
92#5222C2211yescharacteristic, complemented
93#5222C2211yescharacteristic, complemented
94#5222C2211yescharacteristic, complemented
95#5222C2211yescharacteristic, complemented
96#5222C2211yescharacteristic, complemented
97#5221C2211yescharacteristic, complemented
98#5221C2211yescharacteristic, complemented
99#5221C2211yescharacteristic, complemented
100#5220C2211yescharacteristic
101#5220C2211yescharacteristic
102#5220C2211yescharacteristic
103#5220C2211yescharacteristic
104#5220C2211yescharacteristic
105#5220C2211yescharacteristic, complemented
106#5220C2211yescharacteristic, complemented
107#5220C2211yescharacteristic, complemented
108#5212C2211yescharacteristic, complemented
109#5212C2211yescharacteristic, complemented
110#5211C2211yescharacteristic, complemented
111#5210C2211yescharacteristic
112#5210C2211yescharacteristic
113#5210C2211yescharacteristic, complemented
114#5210C2211yescharacteristic, complemented
115C4×#217C2211yescharacteristic, complemented
116#4979C2211yescharacteristic, complemented
117#4979C2211yescharacteristic, complemented
118#4978C2211yescharacteristic, complemented
119#4976C2211yescharacteristic, complemented
120Dic3×C4⋊C4C2211yescharacteristic, complemented
121#4953C2211yescharacteristic, complemented
122#4953C2211yescharacteristic, complemented
123#4953C2211yescharacteristic, complemented
124#4953C2211yescharacteristic, complemented
125#4952C2211yescharacteristic, complemented
126#4952C2211yescharacteristic, complemented
127#4951C2211yescharacteristic, complemented
128#4951C2211yescharacteristic, complemented
129#4951C2211yescharacteristic, complemented
130#4951C2211yescharacteristic, complemented
131#4951C2211yescharacteristic, complemented
132#4951C2211yescharacteristic, complemented
133#4951C2211yescharacteristic, complemented
134#4951C2211yescharacteristic, complemented
135#4950C2211yescharacteristic
136#4950C2211yescharacteristic
137#4950C2211yescharacteristic
138#4950C2211yescharacteristic, complemented
139#4950C2211yescharacteristic, complemented
140#4949C2211yescharacteristic, complemented
141#4949C2211yescharacteristic, complemented
142#4949C2211yescharacteristic, complemented
143#4948C2211yescharacteristic, complemented
144#4948C2211yescharacteristic, complemented
145#4948C2211yescharacteristic, complemented
146#4948C2211yescharacteristic, complemented
147#4948C2211yescharacteristic, complemented
148#4947C2211yescharacteristic, complemented
149#4947C2211yescharacteristic, complemented
150#4947C2211yescharacteristic, complemented
151#4947C2211yescharacteristic, complemented
152#4947C2211yescharacteristic, complemented
153#4947C2211yescharacteristic, complemented
154#4946C2211yescharacteristic
155#4946C2211yescharacteristic
156#4946C2211yescharacteristic, complemented
157#4945C2211yescharacteristic, complemented
158#4945C2211yescharacteristic, complemented
159#4945C2211yescharacteristic, complemented
160#4945C2211yescharacteristic, complemented
161#4945C2211yescharacteristic, complemented
162#4945C2211yescharacteristic, complemented
163#4944C2211yescharacteristic, complemented
164#4944C2211yescharacteristic, complemented
165#4944C2211yescharacteristic, complemented
166#4944C2211yescharacteristic, complemented
167#4942C2211yescharacteristic
168#4942C2211yescharacteristic
169#4942C2211yescharacteristic, complemented
170Dic3×C22⋊C4C2211yescharacteristic
171Dic3×C22⋊C4C2211yescharacteristic
172Dic3×C22⋊C4C2211yescharacteristic
173Dic3×C22⋊C4C2211yescharacteristic, complemented
174#4656C2211yescharacteristic, complemented
175#4656C2211yescharacteristic, complemented
176#4656C2211yescharacteristic, complemented
177#4656C2211yescharacteristic, complemented
178#4655C2211yescharacteristic, complemented
179#4653C2211yescharacteristic, complemented
180#4653C2211yescharacteristic, complemented
181#4652C2211yescharacteristic, complemented
182#4651C2211yescharacteristic, complemented
183#4649C2211yescharacteristic, complemented
184#4649C2211yescharacteristic, complemented
185#4646C2211yescharacteristic, complemented
186#4646C2211yescharacteristic, complemented
187#4646C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#542—31no—
191C22×#124—31no—
192#2852—31no—
193#2731—31no—
194#2730—31no—
195#2717—31no—
196#2712—31no—
197#2700—31no—
198#2686—31no—
199#2674—31no—
200#2672—31no—
201#2662—31no—
202#2632—31no—
203#2521—31no—
204#2491—31no—
205#2480—31no—
206#2474—31no—
207#2472—31no—
208#2472—31no—
209#2461—31no—
210#2437—31no—
211#2437—31no—
212#2434—31no—
213#2418—31no—
214#2410D311yescharacteristic
215#2409—31no—
216#2405—31no—
217#2358—31no—
218#2342—31no—
219#2337—31no—
220C4×C22⋊Q8—31no—
221C25×C3C2311yescharacteristic
222C25×C3C2311yescharacteristic
223C22×C3×D4—24no—
224C22×C3×D4—42no—
225C22×C3×D4—42no—
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C22×C3×D4C2311yescharacteristic
231C22×C3×D4C2311yescharacteristic
232C22×C3×D4C2311yescharacteristic
233C22×C3×D4C2311yescharacteristic
234C22×C3×D4C2311yescharacteristic
235C23×C3×C4C2311yescharacteristic
236C23×C3×C4C2311yescharacteristic
237C23×C3×C4C2311yescharacteristic
238C23×Dic3C2311yescharacteristic
239C23×Dic3C2311yescharacteristic
240C23×Dic3C2311yescharacteristic
241C23×Dic3C2311yescharacteristic
242C23×Dic3C2311yescharacteristic
243C23×Dic3C2311yescharacteristic
244C23×Dic3C2311yescharacteristic
245C22×Dic6—24no—
246C22×Dic6—42no—
247C22×Dic6—42no—
248C22×Dic6C2311yescharacteristic
249C22×Dic6C2311yescharacteristic
250C22×Dic6C2311yescharacteristic
251C22×Dic6C2311yescharacteristic
252C22×Dic6C2311yescharacteristic
253C22×Dic6C2311yescharacteristic
254C3×#121—24no—
255C3×#121—42no—
256C3×#120—24no—
257C3×#120—42no—
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C22⋊C4—24no—
261C2×C3×C22⋊C4C2311yescharacteristic
262C2×C3×C22⋊C4C2311yescharacteristic
263C2×C3×C22⋊C4C2311yescharacteristic
264C2×C3×C22⋊C4C2311yescharacteristic
265C2×C3×C22⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4C2311yescharacteristic
267C2×C3×C22⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×#217—24no—
277C2×#217—24no—
278C2×#217—24no—
279C2×#217—24no—
280C2×#217—42no—
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
311C2×#217C2311yescharacteristic
312C2×#217C2311yescharacteristic
313C2×#217C2311yescharacteristic
314C2×#217C2311yescharacteristic
315C2×#217C2311yescharacteristic
316C2×#217C2311yescharacteristic
317C2×#217C2311yescharacteristic
318C2×#217C2311yescharacteristic
319C2×#217C2311yescharacteristic
320C2×#217C2311yescharacteristic
321C2×#217C2311yescharacteristic
322#936—24no—
323#936—24no—
324#936—24no—
325#936—24no—
326#936—24no—
327#936—24no—
328#936—24no—
329#936—24no—
330#936—24no—
331#936D418yescomplemented
332#935—24no—
333#935—24no—
334#935—42no—
335D4×Dic3—24no—
336D4×Dic3—42no—
337#926—24no—
338C2×C4⋊Dic3C2311yescharacteristic
339C2×C4⋊Dic3C2311yescharacteristic
340C2×C4⋊Dic3C2311yescharacteristic
341C2×C4⋊Dic3C2311yescharacteristic
342C2×C4⋊Dic3C2311yescharacteristic
343C2×C4⋊Dic3C2311yescharacteristic
344C2×C4⋊Dic3C2311yescharacteristic
345C2×C4⋊Dic3C2311yescharacteristic
346C2×C4⋊Dic3C2311yescharacteristic
347#924—24no—
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
357C2×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×Dic3⋊C4C2311yescharacteristic
362C2×Dic3⋊C4C2311yescharacteristic
363C2×Dic3⋊C4C2311yescharacteristic
364C2×C4×Dic3—24no—
365C2×C4×Dic3C2311yescharacteristic
366C2×C4×Dic3C2311yescharacteristic
367C2×C4×Dic3C2311yescharacteristic
368C2×C4×Dic3C2311yescharacteristic
369C2×C4×Dic3C2311yescharacteristic
370C2×C4×Dic3C2311yescharacteristic
371C2×C4×Dic3C2311yescharacteristic
372C2×C4×Dic3C2311yescharacteristic
373C2×C4×Dic3C2311yescharacteristic
374C2×C4×Dic3C2311yescharacteristic
375C2×C4×Dic3C2311yescharacteristic
376#888—24no—
377#888—42no—
378#887—24no—
379#879—24no—
380#879—24no—
381#878—24no—
382#878—24no—
383#878—24no—
384#878—42no—
385#878—42no—
386C3×#95C2311yescharacteristic
387C3×#95C2311yescharacteristic
388C3×#95C2311yescharacteristic
389C3×#95C2311yescharacteristic
390C3⋊#95C2311yescharacteristic
391C3⋊#95C2311yescharacteristic
392C3⋊#95C2311yescharacteristic
393C3⋊#95C2311yescharacteristic
394C3⋊#95C2311yescharacteristic
395C3⋊#95C2311yescharacteristic
396C3⋊#95C2311yescharacteristic
397C3⋊#95C2311yescharacteristic
398C3⋊#95C2311yescharacteristic
399C3⋊#95C2311yescharacteristic
400C3⋊#95C2311yescharacteristic
401C3⋊#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C23×Q8—31no—
421C23×D4C2×D311yescharacteristic
422#542—68no—
423C2×C4⋊Q8—31no—
424C2×C4⋊Q8—31no—
425C2×#126—31no—
426C2×#126—31no—
427C2×#124—31no—
428C2×#124—31no—
429C2×#124—31no—
430C2×#124—31no—
431C2×#124—31no—
432C2×#124—31no—
433C2×#124—31no—
434C2×#124—31no—
435C2×#124—31no—
436C2×#124—31no—
437C2×#124—68no—
438C2×#123—31no—
439C2×#123—31no—
440C2×#123—31no—
441C2×C22⋊Q8—31no—
442C2×C22⋊Q8—31no—
443C2×C22⋊Q8—31no—
444C2×C22⋊Q8—31no—
445C2×C22⋊Q8—31no—
446C2×C22⋊Q8—31no—
447C2×#121C2×D311yescharacteristic
448C2×#121C2×D311yescharacteristic
449C2×#120C2×D311yescharacteristic
450C2×#120C2×D311yescharacteristic
451C2×C4×Q8—31no—
452C2×C4×D4—31no—
453C2×C4×D4—31no—
454C2×#117—31no—
455C22×C22⋊C4—31no—
456C22×C22⋊C4—31no—
457C22×C22⋊C4—31no—
458C22×C22⋊C4—31no—
459C22×C22⋊C4—31no—
460C22×C22⋊C4C2×D311yescharacteristic
461C22×C42—31no—
462#399—31no—
463#399—31no—
464#399—31no—
465#397—31no—
466#397—31no—
467#397—31no—
468#397—31no—
469#397—31no—
470#397—31no—
471#396—31no—
472#396—31no—
473#396—31no—
474#396—31no—
475#396—31no—
476#395—31no—
477#395—31no—
478#395—31no—
479#395—31no—
480#395—31no—
481#395—31no—
482#394—31no—
483#394—31no—
484#394—31no—
485#394—31no—
486#394—31no—
487#394—31no—
488#394—31no—
489#394—31no—
490#394—31no—
491#394—31no—
492#394C2×D311yescharacteristic
493#394C2×D311yescharacteristic
494#393—31no—
495#393—31no—
496#393—31no—
497#393—31no—
498#393—31no—
499#393—31no—
500#392C2×D311yescharacteristic
501#392C2×D311yescharacteristic
502#391—31no—
503#391—31no—
504#391—31no—
505#391—31no—
506#391—31no—
507#390—31no—
508#390—31no—
509#390—31no—
510#389—31no—
511#388—31no—
512#388—31no—
513#388—31no—
514#388—31no—
515#388—31no—
516#388—31no—
517#388—31no—
518#388—31no—
519#388—31no—
520#388—31no—
521#388—31no—
522#388—31no—
523#388—31no—
524#388—31no—
525#388—31no—
526#388—31no—
527#388—31no—
528#388—31no—
529#387—31no—
530#387—31no—
531#387—31no—
532#387—31no—
533#387—31no—
534#386—31no—
535#386—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#386C2×D311yescharacteristic
543#386C2×D311yescharacteristic
544#386C2×D311yescharacteristic
545#385—31no—
546#385—31no—
547#385—31no—
548#385—31no—
549#385—31no—
550#385—31no—
551#385—31no—
552#385—31no—
553#385—31no—
554#385—31no—
555#385—31no—
556#385—31no—
557#385C2×D311yescharacteristic
558#383—31no—
559#381—31no—
560#380—31no—
561#380—31no—
562#380—31no—
563#380—31no—
564#380—31no—
565#379—31no—
566#379—31no—
567#379—31no—
568#379C2×D311yescharacteristic
569C4×C4⋊C4—31no—
570C4×C4⋊C4—31no—
571C4×C4⋊C4—31no—
572C4×C22⋊C4—31no—
573C4×C22⋊C4—31no—
574C4×C22⋊C4—31no—
575C4×C22⋊C4—31no—
576C4×C22⋊C4—31no—
577C24×C3—22no—
578C24×C3—22no—
579C24×C3—22no—
580C24×C3—22no—
581C24×C3—22no—
582C24×C3—22no—
583C24×C3—22no—
584C24×C3—22no—
585C24×C3—41no—
586C24×C3—41no—
587C24×C3—41no—
588C24×C3—41no—
589C24×C3—41no—
590C24×C3—41no—
591C24×C3C2411yescharacteristic
592C24×C3C2411yescharacteristic
593C24×C3C2411yescharacteristic
594C24×C3C2411yescharacteristic
595C24×C3C2411yescharacteristic
596C24×C3C2411yescharacteristic
597C2×C3×D4—22no—
598C2×C3×D4—22no—
599C2×C3×D4—22no—
600C2×C3×D4—22no—
601C2×C3×D4—22no—
602C2×C3×D4—22no—
603C2×C3×D4—22no—
604C2×C3×D4—22no—
605C2×C3×D4—22no—
606C2×C3×D4—22no—
607C2×C3×D4—22no—
608C2×C3×D4—22no—
609C2×C3×D4—41no—
610C2×C3×D4—41no—
611C2×C3×D4—41no—
612C2×C3×D4—41no—
613C2×C3×D4—41no—
614C2×C3×D4—41no—
615C2×C3×D4—41no—
616C2×C3×D4—416no—
617C2×C3×D4—41no—
618C2×C3×D4—41no—
619C2×C3×D4—41no—
620C2×C3×D4—41no—
621C2×C3×D4—41no—
622C2×C3×D4—41no—
623C2×C3×D4—41no—
624C2×C3×D4C2×D414yes—
625C22×C3×C4—22no—
626C22×C3×C4—22no—
627C22×C3×C4—22no—
628C22×C3×C4—22no—
629C22×C3×C4—22no—
630C22×C3×C4—22no—
631C22×C3×C4—41no—
632C22×C3×C4—41no—
633C22×C3×C4—41no—
634C22×C3×C4C2411yescharacteristic
635C22×C3×C4C2411yescharacteristic
636C22×C3×C4C2411yescharacteristic
637C22×C3×C4C2411yescharacteristic
638C22×C3×C4C2411yescharacteristic
639C22×C3×C4C2411yescharacteristic
640C22×C3×C4C2411yescharacteristic
641C22×C3×C4C2411yescharacteristic
642C22×C3×C4C2411yescharacteristic
643C22×Dic3—22no—
644C22×Dic3—22no—
645C22×Dic3—22no—
646C22×Dic3—22no—
647C22×Dic3—22no—
648C22×Dic3—22no—
649C22×Dic3—22no—
650C22×Dic3—22no—
651C22×Dic3—22no—
652C22×Dic3—22no—
653C22×Dic3—41no—
654C22×Dic3—41no—
655C22×Dic3—41no—
656C22×Dic3—41no—
657C22×Dic3—41no—
658C22×Dic3—41no—
659C22×Dic3—41no—
660C22×Dic3—41no—
661C22×Dic3—41no—
662C22×Dic3—41no—
663C22×Dic3—41no—
664C22×Dic3C2411yescharacteristic
665C22×Dic3C2411yescharacteristic
666C22×Dic3C2411yescharacteristic
667C22×Dic3C2411yescharacteristic
668C22×Dic3C2411yescharacteristic
669C22×Dic3C2411yescharacteristic
670C22×Dic3C2411yescharacteristic
671C22×Dic3C2411yescharacteristic
672C22×Dic3C2411yescharacteristic
673C22×Dic3C2411yescharacteristic
674C22×Dic3C2411yescharacteristic
675C22×Dic3C2411yescharacteristic
676C22×Dic3C2411yescharacteristic
677C22×Dic3C2411yescharacteristic
678C22×Dic3C2411yescharacteristic
679C22×Dic3C2411yescharacteristic
680C2×Dic6—22no—
681C2×Dic6—22no—
682C2×Dic6—22no—
683C2×Dic6—22no—
684C2×Dic6—22no—
685C2×Dic6—22no—
686C2×Dic6—22no—
687C2×Dic6—22no—
688C2×Dic6—41no—
689C2×Dic6—41no—
690C2×Dic6—41no—
691C2×Dic6—41no—
692C2×Dic6—41no—
693C2×Dic6—41no—
694C2×Dic6—41no—
695C2×Dic6—416no—
696C2×Dic6—41no—
697C2×Dic6—41no—
698C2×Dic6C2×D414yes—
699C3×C4⋊C4—22no—
700C3×C4⋊C4—22no—
701C3×C22⋊C4—22no—
702C3×C22⋊C4—22no—
703C3×C22⋊C4—22no—
704C3×C22⋊C4—22no—
705C3×C22⋊C4—22no—
706C3×C22⋊C4—22no—
707C3×C22⋊C4—22no—
708C3×C22⋊C4—22no—
709C3×C22⋊C4—22no—
710C3×C22⋊C4—41no—
711C3×C22⋊C4—41no—
712C3×C22⋊C4—41no—
713C3×C22⋊C4—41no—
714C3×C22⋊C4—41no—
715C3×C22⋊C4#4114yes—
716#217—22no—
717#217—22no—
718#217—22no—
719#217—22no—
720#217—22no—
721#217—22no—
722#217—22no—
723#217—22no—
724#217—22no—
725#217—22no—
726#217—22no—
727#217—22no—
728#217—22no—
729#217—22no—
730#217—22no—
731#217—22no—
732#217—22no—
733#217—22no—
734#217—22no—
735#217—22no—
736#217—22no—
737#217—22no—
738#217—41no—
739#217—41no—
740#217—41no—
741#217—41no—
742#217—41no—
743#217—41no—
744#217—41no—
745#217—41no—
746#217—41no—
747#217—41no—
748#217—41no—
749#217—41no—
750#217—41no—
751#217—41no—
752#217—41no—
753#217C2×D414yes—
754#217C2×D414yes—
755#217C2×D414yes—
756#217C2×D414yes—
757C4⋊Dic3—22no—
758C4⋊Dic3—22no—
759C4⋊Dic3—22no—
760C4⋊Dic3—22no—
761C4⋊Dic3—41no—
762C4⋊Dic3—41no—
763C4⋊Dic3—41no—
764C4⋊Dic3—41no—
765C4⋊Dic3—41no—
766Dic3⋊C4—22no—
767Dic3⋊C4—22no—
768Dic3⋊C4—22no—
769Dic3⋊C4—22no—
770Dic3⋊C4—22no—
771Dic3⋊C4—22no—
772Dic3⋊C4—22no—
773Dic3⋊C4—22no—
774Dic3⋊C4—22no—
775Dic3⋊C4—22no—
776Dic3⋊C4—41no—
777Dic3⋊C4—41no—
778Dic3⋊C4—41no—
779Dic3⋊C4—41no—
780Dic3⋊C4—41no—
781Dic3⋊C4—41no—
782C4×Dic3—22no—
783C4×Dic3—22no—
784C4×Dic3—22no—
785C4×Dic3—22no—
786C4×Dic3—22no—
787C4×Dic3—22no—
788C4×Dic3—41no—
789C4×Dic3—41no—
790C4×Dic3—41no—
791C4×Dic3—41no—
792C4×Dic3C2×D414yes—
793C25C22×D311yescharacteristic
794C25C22×D311yescharacteristic
795C22×Q8—31no—
796C22×Q8—31no—
797C22×Q8—31no—
798C22×Q8—31no—
799C22×Q8—31no—
800C22×Q8—31no—
801C22×Q8—64no—
802C22×Q8—122no—
803C22×Q8—122no—
804C22×D4—24no—
805C22×D4—42no—
806C22×D4—42no—
807C22×D4C22×D311yescharacteristic
808C22×D4C22×D311yescharacteristic
809C22×D4C22×D311yescharacteristic
810C22×D4C22×D311yescharacteristic
811C22×D4C22×D311yescharacteristic
812C22×D4C22×D311yescharacteristic
813C22×D4C22×D311yescharacteristic
814C22×D4C22×D311yescharacteristic
815C22×D4C22×D311yescharacteristic
816C23×C4—31no—
817C23×C4—31no—
818C23×C4—31no—
819C23×C4—31no—
820C23×C4—31no—
821C23×C4—31no—
822C23×C4—31no—
823C23×C4C22×D311yescharacteristic
824C23×C4C22×D311yescharacteristic
825C23×C4C22×D311yescharacteristic
826C4⋊Q8—64no—
827C4⋊Q8—122no—
828#126—64no—
829#126—64no—
830#124—38no—
831#124—64no—
832#124—64no—
833#124—64no—
834#124—64no—
835#124—64no—
836#124—64no—
837#124—64no—
838#124—64no—
839#124—64no—
840#123—64no—
841#123—64no—
842#123—122no—
843C22⋊Q8—64no—
844C22⋊Q8—64no—
845C22⋊Q8—64no—
846C22⋊Q8—64no—
847C22⋊Q8—122no—
848C22⋊Q8—122no—
849#121—24no—
850#121—42no—
851#120—24no—
852#120—42no—
853C4×Q8—64no—
854C4×D4—64no—
855C4×D4—122no—
856#117—64no—
857C2×C4⋊C4—31no—
858C2×C4⋊C4—31no—
859C2×C4⋊C4—31no—
860C2×C4⋊C4—31no—
861C2×C4⋊C4—31no—
862C2×C4⋊C4—31no—
863C2×C4⋊C4—31no—
864C2×C4⋊C4—31no—
865C2×C4⋊C4—31no—
866C2×C4⋊C4—31no—
867C2×C4⋊C4—31no—
868C2×C4⋊C4—31no—
869C2×C4⋊C4—31no—
870C2×C4⋊C4—31no—
871C2×C4⋊C4—31no—
872C2×C4⋊C4—31no—
873C2×C4⋊C4—31no—
874C2×C4⋊C4—31no—
875C2×C4⋊C4—31no—
876C2×C4⋊C4—31no—
877C2×C4⋊C4—31no—
878C2×C4⋊C4—31no—
879C2×C4⋊C4—31no—
880C2×C4⋊C4—31no—
881C2×C4⋊C4—31no—
882C2×C4⋊C4C22×D311yescharacteristic
883C2×C4⋊C4C22×D311yescharacteristic
884C2×C22⋊C4—24no—
885C2×C22⋊C4—31no—
886C2×C22⋊C4—31no—
887C2×C22⋊C4—31no—
888C2×C22⋊C4—31no—
889C2×C22⋊C4—31no—
890C2×C22⋊C4—31no—
891C2×C22⋊C4—31no—
892C2×C22⋊C4—31no—
893C2×C22⋊C4—31no—
894C2×C22⋊C4—31no—
895C2×C22⋊C4—31no—
896C2×C22⋊C4—31no—
897C2×C22⋊C4—31no—
898C2×C22⋊C4—31no—
899C2×C22⋊C4—31no—
900C2×C22⋊C4—31no—
901C2×C22⋊C4—31no—
902C2×C22⋊C4—31no—
903C2×C22⋊C4—31no—
904C2×C22⋊C4—31no—
905C2×C22⋊C4—31no—
906C2×C22⋊C4—31no—
907C2×C22⋊C4—31no—
908C2×C22⋊C4—31no—
909C2×C22⋊C4—31no—
910C2×C22⋊C4—31no—
911C2×C22⋊C4—31no—
912C2×C22⋊C4—31no—
913C2×C22⋊C4—31no—
914C2×C22⋊C4—31no—
915C2×C22⋊C4—31no—
916C2×C22⋊C4—31no—
917C2×C22⋊C4—31no—
918C2×C22⋊C4—31no—
919C2×C22⋊C4—31no—
920C2×C22⋊C4—31no—
921C2×C22⋊C4—31no—
922C2×C22⋊C4—31no—
923C2×C22⋊C4—31no—
924C2×C22⋊C4—31no—
925C2×C22⋊C4—31no—
926C2×C22⋊C4—64no—
927C2×C22⋊C4—64no—
928C2×C22⋊C4—64no—
929C2×C22⋊C4—64no—
930C2×C22⋊C4—122no—
931C2×C22⋊C4C22×D311yescharacteristic
932C2×C22⋊C4C22×D311yescharacteristic
933C2×C22⋊C4C22×D311yescharacteristic
934C2×C22⋊C4C22×D311yescharacteristic
935C2×C22⋊C4C22×D311yescharacteristic
936C2×C22⋊C4C22×D311yescharacteristic
937C2×C22⋊C4C22×D311yescharacteristic
938C2×C22⋊C4C22×D311yescharacteristic
939C2×C22⋊C4C22×D311yescharacteristic
940C2×C22⋊C4C22×D311yescharacteristic
941C2×C22⋊C4C22×D311yescharacteristic
942C2×C22⋊C4C22×D311yescharacteristic
943C2×C22⋊C4C22×D311yescharacteristic
944C2×C22⋊C4C22×D311yescharacteristic
945C2×C22⋊C4C22×D311yescharacteristic
946C2×C42—31no—
947C2×C42—31no—
948C2×C42—31no—
949C2×C42—31no—
950C2×C42—31no—
951C2×C42—31no—
952C2×C42—31no—
953C2×C42—31no—
954C2×C42—31no—
955C2×C42—31no—
956C2×C42—31no—
957C2×C42—64no—
958#95—31no—
959#95—31no—
960#95—31no—
961#95—31no—
962#95—31no—
963#95—31no—
964#95—31no—
965#95—31no—
966#95—31no—
967#95—31no—
968#95—31no—
969#95—31no—
970#95—31no—
971#95—31no—
972#95—31no—
973#95—31no—
974#95—31no—
975#95—31no—
976#95—31no—
977#95—31no—
978#95—31no—
979#95—31no—
980#95—31no—
981#95—31no—
982#95—31no—
983#95—31no—
984#95—31no—
985#95—31no—
986#95—31no—
987#95—31no—
988#95C22×D311yescharacteristic
989#95C22×D311yescharacteristic
990#95C22×D311yescharacteristic
991#95C22×D311yescharacteristic
992C23×C3—21no—
993C23×C3—21no—
994C23×C3—21no—
995C23×C3—21no—
996C23×C3—21no—
997C23×C3—21no—
998C23×C3—21no—
999C23×C3—21no—
1000C23×C3—21no—
1001C23×C3—21no—
1002C23×C3—21no—
1003C23×C3—21no—
1004C23×C3—21no—
1005C23×C3—21no—
1006C23×C3—21no—
1007C23×C3—21no—
1008C23×C3—21no—
1009C23×C3—21no—
1010C23×C3—21no—
1011C23×C3—21no—
1012C23×C3—21no—
1013C23×C3—21no—
1014C23×C3—21no—
1015C23×C3—21no—
1016C23×C3—21no—
1017C23×C3—21no—
1018C23×C3—21no—
1019C23×C3—21no—
1020C23×C3—21no—
1021C23×C3—21no—
1022C23×C3—21no—
1023C23×C3—21no—
1024C23×C3—21no—
1025C23×C3—21no—
1026C23×C3—21no—
1027C23×C3—21no—
1028C23×C3—21no—
1029C23×C3—44no—
1030C23×C3—44no—
1031C23×C3—44no—
1032C23×C3—44no—
1033C23×C3—44no—
1034C23×C3—44no—
1035C23×C3—44no—
1036C23×C3—44no—
1037C23×C3—82no—
1038C23×C3—82no—
1039C23×C3—82no—
1040C23×C3—82no—
1041C23×C3—82no—
1042C23×C3—82no—
1043C23×C3C22×D412yes—
1044C23×C3C22×D412yes—
1045C23×C3C2×#4112yes—
1046C23×C3H(5,𝔽2)12yes—
1047C23×C32−1+412yes—
1048C23×C3C2511yescharacteristic
1049C3×D4—44no—
1050C3×D4—44no—
1051C3×D4—44no—
1052C3×D4—44no—
1053C3×D4—44no—
1054C3×D4—44no—
1055C3×D4—82no—
1056C3×D4—82no—
1057C3×D4—82no—
1058C2×C3×C4—28no—
1059C2×C3×C4—21no—
1060C2×C3×C4—21no—
1061C2×C3×C4—21no—
1062C2×C3×C4—21no—
1063C2×C3×C4—21no—
1064C2×C3×C4—21no—
1065C2×C3×C4—21no—
1066C2×C3×C4—21no—
1067C2×C3×C4—21no—
1068C2×C3×C4—21no—
1069C2×C3×C4—21no—
1070C2×C3×C4—21no—
1071C2×C3×C4—21no—
1072C2×C3×C4—21no—
1073C2×C3×C4—21no—
1074C2×C3×C4—21no—
1075C2×C3×C4—21no—
1076C2×C3×C4—21no—
1077C2×C3×C4—21no—
1078C2×C3×C4—21no—
1079C2×C3×C4—21no—
1080C2×C3×C4—21no—
1081C2×C3×C4—21no—
1082C2×C3×C4—44no—
1083C2×C3×C4—82no—
1084C2×C3×C4C22×D412yes—
1085C2×C3×C4C2×#4112yes—
1086C2×C3×C4C2×#4112yes—
1087C2×C3×C4H(5,𝔽2)12yes—
1088C2×Dic3—21no—
1089C2×Dic3—21no—
1090C2×Dic3—21no—
1091C2×Dic3—21no—
1092C2×Dic3—21no—
1093C2×Dic3—21no—
1094C2×Dic3—21no—
1095C2×Dic3—21no—
1096C2×Dic3—21no—
1097C2×Dic3—21no—
1098C2×Dic3—21no—
1099C2×Dic3—21no—
1100C2×Dic3—21no—
1101C2×Dic3—21no—
1102C2×Dic3—21no—
1103C2×Dic3—21no—
1104C2×Dic3—21no—
1105C2×Dic3—21no—
1106C2×Dic3—21no—
1107C2×Dic3—21no—
1108C2×Dic3—21no—
1109C2×Dic3—21no—
1110C2×Dic3—21no—
1111C2×Dic3—21no—
1112C2×Dic3—21no—
1113C2×Dic3—21no—
1114C2×Dic3—21no—
1115C2×Dic3—21no—
1116C2×Dic3—21no—
1117C2×Dic3—21no—
1118C2×Dic3—21no—
1119C2×Dic3—21no—
1120C2×Dic3—21no—
1121C2×Dic3—21no—
1122C2×Dic3—21no—
1123C2×Dic3—21no—
1124C2×Dic3—21no—
1125C2×Dic3—21no—
1126C2×Dic3—21no—
1127C2×Dic3—21no—
1128C2×Dic3—21no—
1129C2×Dic3—21no—
1130C2×Dic3—21no—
1131C2×Dic3—21no—
1132C2×Dic3—44no—
1133C2×Dic3—44no—
1134C2×Dic3—44no—
1135C2×Dic3—44no—
1136C2×Dic3—82no—
1137C2×Dic3—82no—
1138C2×Dic3—82no—
1139C2×Dic3C22×D412yes—
1140C2×Dic3C22×D412yes—
1141C2×Dic3C22×D412yes—
1142C2×Dic3C22×D412yes—
1143Dic6—44no—
1144Dic6—44no—
1145Dic6—44no—
1146Dic6—44no—
1147Dic6—44no—
1148Dic6—82no—
1149C24—22no—
1150C24—22no—
1151C24—22no—
1152C24—22no—
1153C24—22no—
1154C24—22no—
1155C24—22no—
1156C24—22no—
1157C24—41no—
1158C24—41no—
1159C24—41no—
1160C24—41no—
1161C24—41no—
1162C24—41no—
1163C24C23×D311yescharacteristic
1164C24C23×D311yescharacteristic
1165C24C23×D311yescharacteristic
1166C24C23×D311yescharacteristic
1167C24C23×D311yescharacteristic
1168C24C23×D311yescharacteristic
1169C2×Q8—34no—
1170C2×Q8—62no—
1171C2×Q8—62no—
1172C2×Q8—62no—
1173C2×Q8—62no—
1174C2×Q8—62no—
1175C2×Q8—62no—
1176C2×Q8—62no—
1177C2×Q8—62no—
1178C2×Q8—121no—
1179C2×Q8—121no—
1180C2×Q8—121no—
1181C2×Q8—121no—
1182C2×Q8—121no—
1183C2×Q8—121no—
1184C2×Q8—121no—
1185C2×Q8—121no—
1186C2×Q8—121no—
1187C2×Q8—1216no—
1188C2×D4—22no—
1189C2×D4—22no—
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—416no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—41no—
1213C2×D4—41no—
1214C2×D4—41no—
1215C2×D4D3×D414yes—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—31no—
1223C22×C4—31no—
1224C22×C4—31no—
1225C22×C4—31no—
1226C22×C4—31no—
1227C22×C4—31no—
1228C22×C4—31no—
1229C22×C4—31no—
1230C22×C4—31no—
1231C22×C4—31no—
1232C22×C4—31no—
1233C22×C4—31no—
1234C22×C4—31no—
1235C22×C4—31no—
1236C22×C4—31no—
1237C22×C4—31no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—62no—
1242C22×C4—62no—
1243C22×C4—62no—
1244C22×C4—62no—
1245C22×C4—62no—
1246C22×C4—62no—
1247C22×C4—62no—
1248C22×C4—62no—
1249C22×C4—62no—
1250C22×C4—62no—
1251C22×C4—121no—
1252C22×C4—121no—
1253C22×C4—121no—
1254C22×C4—121no—
1255C22×C4—121no—
1256C22×C4—121no—
1257C22×C4—121no—
1258C22×C4—121no—
1259C22×C4—121no—
1260C22×C4—121no—
1261C22×C4—121no—
1262C22×C4C23×D311yescharacteristic
1263C22×C4C23×D311yescharacteristic
1264C22×C4C23×D311yescharacteristic
1265C22×C4C23×D311yescharacteristic
1266C22×C4C23×D311yescharacteristic
1267C22×C4C23×D311yescharacteristic
1268C22×C4C23×D311yescharacteristic
1269C22×C4C23×D311yescharacteristic
1270C22×C4C23×D311yescharacteristic
1271C4⋊C4—22no—
1272C4⋊C4—22no—
1273C4⋊C4—62no—
1274C4⋊C4—62no—
1275C4⋊C4—62no—
1276C4⋊C4—62no—
1277C4⋊C4—62no—
1278C4⋊C4—62no—
1279C4⋊C4—62no—
1280C4⋊C4—62no—
1281C4⋊C4—62no—
1282C4⋊C4—62no—
1283C4⋊C4—62no—
1284C4⋊C4—62no—
1285C4⋊C4—62no—
1286C4⋊C4—62no—
1287C4⋊C4—121no—
1288C4⋊C4—121no—
1289C4⋊C4—121no—
1290C4⋊C4—121no—
1291C4⋊C4—121no—
1292C4⋊C4—121no—
1293C4⋊C4—121no—
1294C4⋊C4—121no—
1295C4⋊C4—121no—
1296C4⋊C4—121no—
1297C4⋊C4—121no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—22no—
1305C22⋊C4—22no—
1306C22⋊C4—22no—
1307C22⋊C4—34no—
1308C22⋊C4—34no—
1309C22⋊C4—34no—
1310C22⋊C4—34no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—62no—
1317C22⋊C4—62no—
1318C22⋊C4—62no—
1319C22⋊C4—62no—
1320C22⋊C4—62no—
1321C22⋊C4—62no—
1322C22⋊C4—62no—
1323C22⋊C4—62no—
1324C22⋊C4—62no—
1325C22⋊C4—62no—
1326C22⋊C4—62no—
1327C22⋊C4—62no—
1328C22⋊C4—62no—
1329C22⋊C4—62no—
1330C22⋊C4—62no—
1331C22⋊C4—62no—
1332C22⋊C4—62no—
1333C22⋊C4—62no—
1334C22⋊C4—62no—
1335C22⋊C4—62no—
1336C22⋊C4—62no—
1337C22⋊C4—62no—
1338C22⋊C4—121no—
1339C22⋊C4—121no—
1340C22⋊C4—121no—
1341C22⋊C4—121no—
1342C22⋊C4—121no—
1343C22⋊C4—121no—
1344C22⋊C4—121no—
1345C22⋊C4—121no—
1346C22⋊C4—121no—
1347C22⋊C4—121no—
1348C22⋊C4—121no—
1349C22⋊C4—121no—
1350C22⋊C4—121no—
1351C22⋊C4—121no—
1352C22⋊C4—121no—
1353C22⋊C4#23714yes—
1354C42—34no—
1355C42—62no—
1356C42—62no—
1357C42—62no—
1358C42—62no—
1359C42—62no—
1360C42—62no—
1361C42—121no—
1362C42—121no—
1363C42—121no—
1364C42—121no—
1365C22×C3—22no—
1366C22×C3—22no—
1367C22×C3—22no—
1368C22×C3—22no—
1369C22×C3—22no—
1370C22×C3—22no—
1371C22×C3—22no—
1372C22×C3—22no—
1373C22×C3—22no—
1374C22×C3—22no—
1375C22×C3—22no—
1376C22×C3—22no—
1377C22×C3—41no—
1378C22×C3—41no—
1379C22×C3—41no—
1380C22×C3—41no—
1381C22×C3—41no—
1382C22×C3—41no—
1383C22×C3—41no—
1384C22×C3—41no—
1385C22×C3—41no—
1386C22×C3—41no—
1387C22×C3—41no—
1388C22×C3—41no—
1389C22×C3—41no—
1390C22×C3—41no—
1391C22×C3—41no—
1392C22×C3—41no—
1393C22×C3—41no—
1394C22×C3—41no—
1395C22×C3—41no—
1396C22×C3—41no—
1397C22×C3—41no—
1398C22×C3—41no—
1399C22×C3—41no—
1400C22×C3—41no—
1401C22×C3—41no—
1402C22×C3—41no—
1403C22×C3—41no—
1404C22×C3—41no—
1405C22×C3—41no—
1406C22×C3—88no—
1407C22×C3—88no—
1408C22×C3#54214yescomplemented
1409C22×C3C23×D411yescharacteristic
1410C22×C3C22×#4111yescharacteristic
1411C22×C3C2×H(5,𝔽2)11yescharacteristic
1412C22×C3C2×H(5,𝔽2)11yescharacteristic
1413C22×C3C2×2−1+411yescharacteristic
1414C22×C3#58511yescharacteristic
1415C22×C3#58511yescharacteristic
1416C3×C4—22no—
1417C3×C4—22no—
1418C3×C4—22no—
1419C3×C4—22no—
1420C3×C4—41no—
1421C3×C4—41no—
1422C3×C4—41no—
1423C3×C4—41no—
1424C3×C4—41no—
1425Dic3—22no—
1426Dic3—22no—
1427Dic3—22no—
1428Dic3—22no—
1429Dic3—41no—
1430Dic3—41no—
1431Dic3—41no—
1432Dic3—41no—
1433Dic3—41no—
1434Dic3—41no—
1435Dic3—41no—
1436Dic3—41no—
1437Dic3—41no—
1438Dic3—41no—
1439Dic3—41no—
1440Dic3—41no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—44no—
1479C23—44no—
1480C23—44no—
1481C23—44no—
1482C23—44no—
1483C23—44no—
1484C23—44no—
1485C23—44no—
1486C23—82no—
1487C23—82no—
1488C23—82no—
1489C23—82no—
1490C23—82no—
1491C23—82no—
1492C23C2×D3×D412yes—
1493C23C2×D3×D412yes—
1494C23C2×#23712yes—
1495C23#100412yes—
1496C23#101012yes—
1497C23C24×D311yescharacteristic
1498Q8—124no—
1499Q8—124no—
1500Q8—124no—
1501Q8—124no—
1502Q8—124no—
1503Q8—242no—
1504D4—44no—
1505D4—44no—
1506D4—44no—
1507D4—44no—
1508D4—44no—
1509D4—44no—
1510D4—82no—
1511D4—82no—
1512D4—82no—
1513C2×C4—28no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—32no—
1538C2×C4—32no—
1539C2×C4—32no—
1540C2×C4—32no—
1541C2×C4—44no—
1542C2×C4—61no—
1543C2×C4—61no—
1544C2×C4—61no—
1545C2×C4—61no—
1546C2×C4—61no—
1547C2×C4—61no—
1548C2×C4—61no—
1549C2×C4—61no—
1550C2×C4—61no—
1551C2×C4—61no—
1552C2×C4—61no—
1553C2×C4—61no—
1554C2×C4—61no—
1555C2×C4—61no—
1556C2×C4—61no—
1557C2×C4—61no—
1558C2×C4—61no—
1559C2×C4—61no—
1560C2×C4—61no—
1561C2×C4—61no—
1562C2×C4—61no—
1563C2×C4—61no—
1564C2×C4—61no—
1565C2×C4—61no—
1566C2×C4—61no—
1567C2×C4—61no—
1568C2×C4—61no—
1569C2×C4—61no—
1570C2×C4—61no—
1571C2×C4—61no—
1572C2×C4—61no—
1573C2×C4—61no—
1574C2×C4—61no—
1575C2×C4—61no—
1576C2×C4—61no—
1577C2×C4—61no—
1578C2×C4—61no—
1579C2×C4—61no—
1580C2×C4—61no—
1581C2×C4—61no—
1582C2×C4—61no—
1583C2×C4—61no—
1584C2×C4—61no—
1585C2×C4—61no—
1586C2×C4—82no—
1587C2×C4—124no—
1588C2×C4—124no—
1589C2×C4—124no—
1590C2×C4—124no—
1591C2×C4—242no—
1592C2×C4—242no—
1593C2×C4—242no—
1594C2×C4C2×D3×D412yes—
1595C2×C4C2×#23712yes—
1596C2×C4C2×#23712yes—
1597C2×C4#100412yes—
1598C2×C3—24no—
1599C2×C3—42no—
1600C2×C3—42no—
1601C2×C3—81no—
1602C2×C3—81no—
1603C2×C3—81no—
1604C2×C3C2×#54211yescharacteristic
1605C2×C3D4×#4111yescharacteristic
1606C2×C3#348411yescharacteristic
1607C2×C3#348911yescharacteristic
1608C2×C3#351411yescharacteristic
1609C2×C3#354511yescharacteristic
1610C2×C3#356111yescharacteristic
1611C22—22no—
1612C22—22no—
1613C22—22no—
1614C22—22no—
1615C22—22no—
1616C22—22no—
1617C22—22no—
1618C22—22no—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—88no—
1653C22—88no—
1654C22#560314yescomplemented
1655C22C22×D3×D411yescharacteristic
1656C22C22×#23711yescharacteristic
1657C22C2×#100411yescharacteristic
1658C22C2×#100411yescharacteristic
1659C22C2×#101011yescharacteristic
1660C22#596611yescharacteristic
1661C22#596611yescharacteristic
1662C4—22no—
1663C4—22no—
1664C4—22no—
1665C4—22no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—62no—
1672C4—62no—
1673C4—62no—
1674C4—62no—
1675C4—121no—
1676C4—121no—
1677C4—121no—
1678C4—121no—
1679C4—121no—
1680C4—121no—
1681C4—121no—
1682C4—121no—
1683C4—121no—
1684C4—121no—
1685C4—121no—
1686C4—121no—
1687C3#3771811yescharacteristic, complemented, Sylow
1688C2—24no—
1689C2—42no—
1690C2—42no—
1691C2—81no—
1692C2—81no—
1693C2—81no—
1694C2#8591911yescharacteristic
1695C2C2×#560311yescharacteristic
1696C2#8630411yescharacteristic
1697C2D4×#23711yescharacteristic
1698C2#8661011yescharacteristic
1699C2#8663011yescharacteristic
1700C2#8665811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
Fitting, prime radicalC3×#2410C2
hypercenter#2410D3
hypocenterC3#37718
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2410

Complements

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

NH ≅ G/Ntype
1. C22×#936C2semidirect
2. C2×#5603C2semidirect
4. #84047C2semidirect
5. #82687C2semidirect
6. #82682C2semidirect
7. #82662C2semidirect
8. #82589C2semidirect
9. #82589C2semidirect
10. #82585C2semidirect
11. #82579C2semidirect
12. #82110C2semidirect
13. #82097C2semidirect
14. #77046C2semidirect
15. #77002C2semidirect
16. #76977C2semidirect
17. #76940C2semidirect
18. #76731C2semidirect
19. #76727C2semidirect
20. #76709C2semidirect
21. #76680C2semidirect
22. #74870C2semidirect
23. #74825C2semidirect
24. #74811C2semidirect
25. #74729C2semidirect
26. #74689C2semidirect
27. #74671C2semidirect
28. #74412C2semidirect
29. #74381C2semidirect
30. #73831C2semidirect
31. #73828C2semidirect
54. C2×#936C22semidirect
55. C2×#936C22semidirect
58. C2×#935C22semidirect
60. C2×D4×Dic3C22semidirect
61. C2×#926C22semidirect
62. C2×#924C22semidirect
65. C2×#888C22semidirect
66. C2×#888C22semidirect
67. C2×#887C22semidirect
68. C2×#879C22semidirect
69. C2×#879C22semidirect
72. C2×#878C22semidirect
73. C2×#878C22semidirect
74. C2×#878C22semidirect
91. #5222C22semidirect
92. #5222C22semidirect
93. #5222C22semidirect
94. #5222C22semidirect
95. #5222C22semidirect
96. #5222C22semidirect
97. #5221C22semidirect
98. #5221C22semidirect
99. #5221C22semidirect
105. #5220C22semidirect
106. #5220C22semidirect
107. #5220C22semidirect
108. #5212C22semidirect
109. #5212C22semidirect
110. #5211C22semidirect
113. #5210C22semidirect
114. #5210C22semidirect
115. C4×#217C22semidirect
116. #4979C22semidirect
117. #4979C22semidirect
118. #4978C22semidirect
119. #4976C22semidirect
120. Dic3×C4⋊C4C22semidirect
121. #4953C22semidirect
122. #4953C22semidirect
123. #4953C22semidirect
124. #4953C22semidirect
125. #4952C22semidirect
126. #4952C22semidirect
127. #4951C22semidirect
128. #4951C22semidirect
129. #4951C22semidirect
130. #4951C22semidirect
131. #4951C22semidirect
132. #4951C22semidirect
133. #4951C22semidirect
134. #4951C22semidirect
138. #4950C22semidirect
139. #4950C22semidirect
140. #4949C22semidirect
141. #4949C22semidirect
142. #4949C22semidirect
143. #4948C22semidirect
144. #4948C22semidirect
145. #4948C22semidirect
146. #4948C22semidirect
147. #4948C22semidirect
148. #4947C22semidirect
149. #4947C22semidirect
150. #4947C22semidirect
151. #4947C22semidirect
152. #4947C22semidirect
153. #4947C22semidirect
156. #4946C22semidirect
157. #4945C22semidirect
158. #4945C22semidirect
159. #4945C22semidirect
160. #4945C22semidirect
161. #4945C22semidirect
162. #4945C22semidirect
163. #4944C22semidirect
164. #4944C22semidirect
165. #4944C22semidirect
166. #4944C22semidirect
169. #4942C22semidirect
173. Dic3×C22⋊C4C22semidirect
174. #4656C22semidirect
175. #4656C22semidirect
176. #4656C22semidirect
177. #4656C22semidirect
178. #4655C22semidirect
179. #4653C22semidirect
180. #4653C22semidirect
181. #4652C22semidirect
182. #4651C22semidirect
183. #4649C22semidirect
184. #4649C22semidirect
185. #4646C22semidirect
186. #4646C22semidirect
187. #4646C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
331. #936D4semidirect
1408. C22×C3#542semidirect
1654. C22#5603semidirect
1687. C3#37718semidirect

Maximal subgroups

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

subgroupindex
C22×#9362
C2×#56032
C3×#24102
#840472
#826872
#826822
#826622
#825892
#825852
#825792
#821102
#820972
#770462
#770022
#769772
#769402
#767312
#767272
#767092
#766802
#748702
#748252
#748112
#747292
#746892
#746712
#744122
#743812
#738312
#738282
#377183